Publisher Changes Report
Supplemental Mathematics (English)
Publisher: Houghton Mifflin Harcourt
Supplemental Math, Grade 4 (IMRA25)
Program:
Component: HMH Math 180 Texas Teacher Digital Subscription (ISBN: N/A)
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 140
Location:
bottom left side of page under Introduce the Card Sort, second paragraph, first sentence
Original Text: There is no one way to group the cards, and all ways are correct.
Updated Text: There are many correct ways to group the cards.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 140
Location:
bottom left side of page under Introduce the Card Sort, second paragraph, first sentence
Original Text: There is no one way to group the cards, and all ways are correct.
Updated Text: There are many correct ways to group the cards.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 140 to
141
Location:
Entire page
Original Text: Entire page
Updated Text: Remove pages entirely. Pages will be repaginated.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 141
Location:
Exit Ticket
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0161/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 141
Location:
Practice 6 at bottom middle of page
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL1/#page0161/
Original Text: A sales associate sold 100 items on Saturday. The decimal grid shows the number of customers who purchased sale items. What portion of the customers purchased sale items?
Updated URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL1/#page0161/
Updated Text: A snack stand collects $100 for drinks and snacks sold. The decimal grid shows the number of dollars collected for drinks. What portion of the collected dollars are for drinks?
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 141
Location:
Center, Practice 6
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0163/
Original Text: A sales associate sold 100 items on Saturday. The decimal grid shows the number of customers who purchased sale items. What portion of the customers purchased sale items?
Updated URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0163/
Updated Text: A snack stand collects $100 for drinks and snacks sold. The decimal grid shows the number of dollars collected for drinks. What portion of the collected dollars are for drinks?
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 143
Location:
Found in the "Administer mSpace" note located toward the bottom of the page.
Original Text: Mindset Scan 2 (pages 100-101)” on Block 2, Block at a Glance page (before page 75).
Updated Text: Delete text
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 143
Location:
Exit Ticket
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0163/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 143
Location:
Found in the "Administer mSpace" note located toward the bottom of the page.
Original Text: Mindset Scan 2 (pages 100-101)” on Block 2, Block at a Glance page (before page 75).
Updated Text: Delete text
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 143
Location:
Bottom right of page
Original Text: mindset
works
Mindset Strategy
Have students complete the Mindset Strategy (mSpace pages 100–101) to reflect on their performance in Block 2.
works
Mindset Strategy
Have students complete the Mindset Strategy (mSpace pages 100–101) to reflect on their performance in Block 2.
Updated Text: (remove section entirely)
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 143
Location:
Found in the "Administer mSpace" note located toward the bottom of the page.
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=151
Original Text: Mindset Scan 2 (pages 100-101)” on Block 2, Block at a Glance page (before page 75).
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=151
Updated Text: Delete text
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 143
Location:
Bottom right corner
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=151
Original Text: Mindset Scan box
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=151
Updated Text: Delete Image
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 143
Location:
Bottom right corner
Original Text: Mindset Scan box
Updated Text: Delete Image
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 143
Location:
Bottom right corner
Original Text: Mindset Scan box
Updated Text: Delete Image
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 144
Location:
Bottom right and bottom left corners
Original Text: Watermarks over text saying that the Stretch, Connect, and Focus are coming in 2025.
Updated Text: No watermarks over text
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 144
Location:
Data Recommenda tions chart.
Last Row.
Original Text: Math Performance Progress ■ Growth Report
Updated Text: Delete entire row. Delete text entirely
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 144
Location:
bottom left side of page under Introduce the Card Sort, second paragraph, first sentence
Original Text: There is no one way to group the cards, and all ways are correct.
Updated Text: There are many correct ways to group the cards.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 144
Location:
Data Recommenda tions chart.
First Row. Whole- and Small-Group Instruction. Second Column, last bullet.
Original Text: ■ Progress toward a Growth Mindset
Updated Text: Delete text entirely
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 144
Location:
Bottom of page on the left and the right.
Original Text: Image: Red circles with "Coming in 2025" in the bottom left and right corners
Updated Text: Delete these images
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 145
Location:
Exit Ticket
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0165/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 145
Location:
Rates and Ratios Series mSpace, p. 145, Practice 4 in middle column on page, top of column
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/student/epub/rr_mSpace_BL1/#page0164/
Original Text: For every 16 people who visit FaceSpace daily, 7 of them visit between 6 a.m. and 10 a.m. What percent of the people visit FaceSpace between 6 a.m. and 10 a.m.? _______ of the people visit FaceSpace between 6 a.m. and 10 a.m.
Updated Text: For every 16 people who visit a website daily, 7 of them visit between 6 a.m. and 10 a.m. What percent of the people visit the website between 6 a.m. and 10 a.m.? _______ of the people visit the website between 6 a.m. and 10 a.m.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 4, Standards column
Original Text: MATHEMATICAL THINKING Make use of structure. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply properties of operations as strategies to multiply and divide rational numbers.
Updated Text: TEKS 4.3.D Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 1, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=156
Original Text: MATHEMATICAL THINKING Reason abstractly. Model with mathematics. GRADE-LEVEL CONTENT CONNECTIONS The Number System Fluently divide multi-digit whole numbers and decimals.
Updated Text: TEKS 3.4.K Solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts. ELPS 1.E, 1.F, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 1, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Original Text: MATHEMATICAL THINKING Reason abstractly. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply and extend previous understandings of numbers to the system of rational numbers.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Updated Text: TEKS 6.2.C Locate, compare, and order integers and rational numbers using a number line. ELPS 1.E, 1.F, 2.A, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 3, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=156
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Interpret quotients by describing real-world contexts.
Updated Text: TEKS 4.4.H Solve with fluency one- and two- step problems involving multiplication and division, including interpreting remainders. ELPS 1.E, 2.A, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 3, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Reason abstractly. GRADE-LEVEL CONTENT CONNECTIONS The Number System Understand the absolute value of a rational number as its distance from 0 on the number line.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Updated Text: TEKS 6.3.C Represent integer operations with concrete models and connect the actions with the models to standardized algorithms. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Anchor Video Connection
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0167/https://www.hmhco.com/rce/toc/
Original Text: As the Anchor Video shows, marketing campaigns can be used to raise awareness and provide information to consumers.
Updated Text: As the Anchor Video shows, finance managers help nonprofits make decisions on how to spend the money they raise.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 2, Standards column
Original Text: Mathematical Thinking Reason abstractly. Make use of structure. Grade-Level Content Connections The Number System Use base-ten numerals, number names, and expanded form to read and write decimals.
Updated Text: TEKS 2.2.B Use standard, word, and expanded forms to represent numbers up to 1,200. TEKS 2.2.A ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 5, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=156
Original Text: MATHEMATICAL THINKING Construct viable arguments. Reason abstractly. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Understand solving an equation as a process of answering a question.
Updated Text: TEKS 3.5.B Represent and solve one- and two- step multiplication and division problems within 100 using arrays, strip diagrams, and equations. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 5, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Original Text: MATHEMATICAL THINKING Construct viable arguments. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Solve problems with positive and negative numbers in any form, using tools strategically.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Updated Text: TEKS 6.2.C Locate, compare, and order integers and rational numbers using a number line. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 4, Standards column
Original Text: Mathematical Thinking Persevere and solve problems. Attend to precision. Grade-Level Content Connections The Number System Make sense of and use place value understanding and properties of operations to perform multi-digit arithmetic with regrouping.
Updated Text: TEKS 2.2.A Use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 2, Standards column
Original Text: MATHEMATICAL THINKING Make use of structure. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Number and Operations Apply previous understandings of multiplication to multiply fractions.
Updated Text: TEKS 5.3.I Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 5, Standards column
Original Text: MATHEMATICAL THINKING Reason abstractly. Model with mathematics. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Solve multi-step real-life problems with positive and negative rational numbers.
Updated Text: TEKS 5.3.I Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 2, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=156
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Use tools strategically.' Reason abstractly. GRADE-LEVEL CONTENT CONNECTIONS The Number System Know that integers can be divided to form rational quotients.
Updated Text: TEKS 3.4.K Solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts. ELPS 1.E, 2.A, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 2, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Original Text: MATHEMATICAL THINKING Construct viable arguments. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply and extend previous understandings of numbers to the system of rational numbers.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Updated Text: TEKS 6.2.C Locate, compare, and order integers and rational numbers using a number line. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Anchor Video Connection
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0167/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 1, Standards column
Original Text: Mathematical Thinking Model with mathematics. Attend to precision. Grade-Level Content Connections The Number System Use base-ten numerals, number names, and expanded form to read and write decimals
Updated Text: TEKS 2.2.A Use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones. ELPS 1.E, 1.F, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 4, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=156
Original Text: MATHEMATICAL THINKING •Use repeated reasoning. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Fluently divide multi-digit numbers.
Updated Text: TEKS 3.4.K Solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 4, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Original Text: MATHEMATICAL THINKING Make use of structure. Use tools strategically. GRADE-LEVEL CONTENT CONNECTIONS The Number System Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=156
Updated Text: TEKS 6.2.C Locate, compare, and order integers and rational numbers using a number line. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 3, Standards column
Original Text: Mathematical Thinking Attend to precision. Model with mathematics. Grade-Level Content Connections The Number System Read, write, and compare decimals to thousandths.
Updated Text: TEKS 2.2.A Use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 5, Standards column
Original Text: Mathematical Thinking Reason abstractly. Persevere and solve problems. Grade-Level Content Connections The Number System Make sense of and use place value understanding and properties of operations to perform multi-digit arithmetic with regrouping
Updated Text: TEKS 2.2.A Use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 1, Standards column
Original Text: MATHEMATICAL THINKING Attend to precision. Model with mathematics. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply properties of operations as strategies to multiply rational numbers.
Updated Text: TEKS 5.3.I Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models. ELPS 1.E, 1.F, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 146
Location:
Lesson 3, Standards column
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS Geometry Solve problems involving area, surface area, and volume.
Updated Text: TEKS 6.3.E Multiply and divide positive rational numbers fluently. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 147
Location:
Exit Ticket
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0167/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 147
Location:
Last paragraph on page
Original Text: When students leave Math 180, it is important to place them into supportive classrooms and monitor their progress as they encounter more difficult content. Encourage students to apply the skills and strategies they learned in their Math 180 classrooms to content in their regular math classes and on district and state assessments. Remind them to always keep a growth mindset.
Updated Text: When students leave Math 180, it is important to place them into supportive classrooms and monitor their progress as they encounter more difficult content. Encourage students to apply the skills and strategies they learned in their Math 180 classrooms to content in their regular math classes and on district and state assessments.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 147
Location:
Table in the middle of page. First row.
Original Text: MAP Growth Math MAP Growth results that indicate students are performing at or above grade level Growth Report
Updated Text: Delete entire row. Delete text entirely
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 148
Location:
Anchor Video Connection
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0169/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 148
Location:
Anchor Video Connection
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0169/https://www.hmhco.com/rce/toc/
Original Text: As the Anchor Video shows, understanding ratio relationships is an important factor in making business decisions.
Updated Text: As the Anchor Video shows, finance managers can help nonprofits make decisions on how to spend the money they raise.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 149
Location:
First section in TOC.
Original Text: Supporting Student Motivation Fostering a Growth Mindset . . . 150
Updated Text: Delete text entirely. Pages will be repaginated.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 15
Location:
Q16, rationale
Original Text: 0.024 < 0.204. By comparing the values to the tenths place, 0.024 is less than 0.204.
Updated Text: 0.024 < 0.204. By comparing the values to the tenths place, we see that 0.024 is less than 0.204.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 15
Location:
Q20. First answer.
Original Text: 3' and '5 times as many'
Updated Text: "3" and "5 times as many"
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 15
Location:
Practice 5
Original Text: missing two problems
Updated Text: Add. 7 + 8
Two ten frames: One ten frame with 7 counters and second ten frame with 8 counters.
Doubles Fact: 7 + 7 = 14
7 + 8 is one more than the doubles fact.
Two ten frames: One ten frame with 7 counters and second ten frame with 8 counters.
Doubles Fact: 7 + 7 = 14
7 + 8 is one more than the doubles fact.
Change Type: Editorial Change
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Updated:
Current Page Number(s): 15
Location:
Q20. Fourth answer.
Original Text: 3' and '5 times as many' as '5' and '3 times as many'.
Updated Text: "3" and "5 times as many" as "5" and "3 times as many."
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 15
Location:
Top of the page in the definition section.
Original Text: "Missing definition"
Updated Text: doubles fact (n) an addition equation with two identical addends
Change Type: Editorial Change
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Updated:
Current Page Number(s): 15
Location:
Q20. Second answer.
Original Text: 6 times as many bottles'
Updated Text: "6 times as many bottles"
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 15
Location:
Q19. First answer.
Original Text: 6 times as many'
Updated Text: "6 times as many"
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 15
Location:
Q15, correct answer and rationale
Original Text: Correct answer: Points at 0.210, 0.24, and 0.30 correctly located on the number
line.
The numbers 0.210, 0.24, and 0.30 are located at the first, fourth, and tenth tick marks
respectively between 0 and 0.2.
line.
The numbers 0.210, 0.24, and 0.30 are located at the first, fourth, and tenth tick marks
respectively between 0 and 0.2.
Updated Text: Correct answer: Points at 0.210, 0.24, and 0.30 are correctly located on the number
line.
The numbers 0.210, 0.24, and 0.30 are located at the first, fourth, and tenth tick marks,
respectively, between 0 and 0.2.
line.
The numbers 0.210, 0.24, and 0.30 are located at the first, fourth, and tenth tick marks,
respectively, between 0 and 0.2.
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Q20. Third answer.
Original Text: n'
Updated Text: "n"
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Practice 6
Original Text: missing two problems
Updated Text: Add. 6 + 5
Two ten frames: One ten frame with 6 counters and second ten frame with 5 counters.
Doubles Fact: 6 + 6 = 12
6 + 5 is one less than the doubles fact.
Two ten frames: One ten frame with 6 counters and second ten frame with 5 counters.
Doubles Fact: 6 + 6 = 12
6 + 5 is one less than the doubles fact.
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Summarize and Assess, exit ticket image
Original Text: The instruction line used a colon instead of a period.
Updated Text: Colon replaced with a period.
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Lesson 4, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Original Text: MATHEMATICAL THINKING Make use of structure. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS The Number System Solve problems by graphing points in all 4 quadrants of the coordinate plane.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Updated Text: TEKS 6.5.A Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
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Lesson 3, Standards column
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Make use of structure. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Explain why the slope m is the same between any 2 points on a non-vertical line.
Updated Text: TEKS 7.10.A Write one-variable, two-step equations and inequalities to represent constraints or conditions within problems. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
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Lesson 5, Standards column
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Solve linear equations with rational number coefficients..
Updated Text: TEKS 5.4.F Simplify numerical expressions that do not involve exponents, including up to two levels of grouping. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
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Lesson 2, Standards column
Original Text: MATHEMATICAL THINKING Make use of structure. Use tools strategically. Persevere and solve problems. GRADE-LEVEL CONTENT CONNECTIONS Functions Compare properties of 2 functions represented in different ways.
Updated Text: TEKS 8.5.A Represent linear proportional situations with tables, graphs, and equations in the form of y = kx. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Lesson 4, Standards column
Original Text: MATHEMATICAL THINKING Construct viable arguments. Persevere and solve problems. Model with mathematics. GRADE-LEVEL CONTENT CONNECTIONS Functions Compare properties of 2 functions represented in different ways.
Updated Text: TEKS 7.7 Represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
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Lesson 2, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Original Text: MATHEMATICAL THINKING Construct viable arguments. Persevere and solve problems. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Decide whether 2 quantities are in a proportional relationship.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Updated Text: TEKS 6.5.A Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
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Lesson 1, Standards column
Original Text: MATHEMATICAL THINKING Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Solve problems leading to two 2-variable linear equations.
Updated Text: TEKS 8.8.B Write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants. ELPS 1.E, 1.F, 2.A, 2.B, 2.E, 2.F, 4.C, 4.F
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Lesson 3, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Use repeated reasoning. Model with mathematics. GRADE-LEVEL CONTENT CONNECTIONS The Number System Solve problems by graphing points in all 4 quadrants of the coordinate plane.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Updated Text: TEKS 6.5.A Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
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Lesson 2, Standards column
Original Text: MATHEMATICAL THINKING Reason abstractly. Use tools strategically. Model with mathematics. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Explain why the slope m is the same between any 2 points on a non-vertical line.
Updated Text: TEKS 7.10.A Write one-variable, two-step equations and inequalities to represent constraints or conditions within problems. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
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Lesson 5, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Original Text: MATHEMATICAL THINKING Reason abstractly. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Solve problems by graphing points in all 4 quadrants of the coordinate plane.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Updated Text: TEKS 6.5.A Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
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Lesson 4, Standards column
Original Text: MATHEMATICAL THINKING Reason abstractly. Persevere and solve problems. Model with mathematics. GRADE-LEVEL CONTENT CONNECTIONS Functions Construct a function to model : a linear relationship between 2 quantities.
Updated Text: TEKS 7.10.A Write one-variable, two-step equations and inequalities to represent constraints or conditions within problems. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
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Lesson 1, Standards column
Original Text: MATHEMATICAL THINKING Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Analyze and solve pairs of simultaneous linear equations.
Updated Text: TEKS A1.2.C Write linear equations in two variables given a table of values, a graph, and a verbal description. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Lesson 3, Standards column
Original Text: MATHEMATICAL THINKING Construct viable arguments. Use tools strategically. #NAME? GRADE-LEVEL CONTENT CONNECTIONS Functions Compare properties of 2 functions represented in different ways.
Updated Text: TEKS A1.3.F Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist. ELPS 1.E, 2.A, 2.B, 2.E, 2.F, 4.C, 4.F
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Current Page Number(s): 150
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Lesson 1, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Recognize and represent proportional relationships between quantities.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=160
Updated Text: TEKS 6.5.A Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions. ELPS 1.E, 1.F, 2.A, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
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Current Page Number(s): 150
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Lesson 5, Standards column
Original Text: MATHEMATICAL THINKING Make use of structure. Reason abstractly. GRADE-LEVEL CONTENT CONNECTIONS Functions Compare properties of 2 functions represented in different ways.
Updated Text: TEKS 7.11.A Model and solve one-variable, two-step equations and inequalities. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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151
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Entire page
Original Text: Entire page
Updated Text: Remove pages entirely. Pages will be repaginated.
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Entire spread
Original Text: (remove entire spread and repaginate activity)
Updated Text: (remove entire spread and repaginate activity)
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Entire spread
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL1/#page0171/https://www.hmhco.com/rce/toc/
Original Text: (remove entire spread and repaginate activity)
Updated URL: N/A
Updated Text: (remove entire spread and repaginate activity)
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Entire spread
Original Text: (remove entire spread and repaginate activity)
Updated Text: (remove entire spread and repaginate activity)
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Current Page Number(s): 152
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Connect
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_tg_BL3/#page0163/https://www.hmhco.com/rce/toc/
Original Text: Anchor Video: "1 in 5"
Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_tg_BL3/#page0163/https://www.hmhco.com/rce/toc/
Updated Text: Ancor Video: "Seeding Success"
New Image: A hand in a garden touching a plant in a flowerpot
New Image: A hand in a garden touching a plant in a flowerpot
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Current Page Number(s): 152
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Center left of page, Connect, second set of parentheses
Original Text: one's digit
Updated Text: ones digit
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Current Page Number(s): 152
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Connect
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_tg_BL3/#page0163/https://www.hmhco.com/rce/toc/
Original Text: Introduce the Anchor Video.
In this video, we’ll see how one girl started a fund to educate children all over the world.
Play the Anchor Video, “1 in 5.”
Guide students to discuss the work done by Malala’s fund.
How might someone with a career in sales and marketing be involved with Malala’s fund? (Run a fundraiser: many fundraising efforts advertise sending a portion of sales to the fund.)
The video tells us that 1 out of 5 girls and 3 out of 5 boys go to school in Nigeria. If there are 5 girls and 5 boys, how many children go to school altogether? (4)
Now, let’s explore a problem using rates and ratios.
In this video, we’ll see how one girl started a fund to educate children all over the world.
Play the Anchor Video, “1 in 5.”
Guide students to discuss the work done by Malala’s fund.
How might someone with a career in sales and marketing be involved with Malala’s fund? (Run a fundraiser: many fundraising efforts advertise sending a portion of sales to the fund.)
The video tells us that 1 out of 5 girls and 3 out of 5 boys go to school in Nigeria. If there are 5 girls and 5 boys, how many children go to school altogether? (4)
Now, let’s explore a problem using rates and ratios.
Updated URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_tg_BL3/#page0163/https://www.hmhco.com/rce/toc/
Updated Text: Introduce the Anchor Video
In this video, we’ll see how one organization is helping educate children about the food they eat.
Play the Anchor Video, “Seeding Success.” Guide students to discuss the work done by Edible Education Experience.
How might someone with a career in sales and marketing be involved in this organization? (Create relationships with donors to run successful fundraising campaigns.)
The video tells us that out of every $100 the nonprofit takes in, about $33 are raised through donations. If they took in $500, about how much did they raise through donations? ($165)
In this video, we’ll see how one organization is helping educate children about the food they eat.
Play the Anchor Video, “Seeding Success.” Guide students to discuss the work done by Edible Education Experience.
How might someone with a career in sales and marketing be involved in this organization? (Create relationships with donors to run successful fundraising campaigns.)
The video tells us that out of every $100 the nonprofit takes in, about $33 are raised through donations. If they took in $500, about how much did they raise through donations? ($165)
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Current Page Number(s): 153
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Fourth bullet under Multiple Means of
Engagement
Original Text: ■ Explicitly teaching and reinforcing growth mindset in whole and small groups
Updated Text: Delete text entirely.
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Current Page Number(s): 155
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Exit Ticket
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_mSpace_Anno_BL3/#page0177/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
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Current Page Number(s): 155
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Summarize & Assess
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_tg_BL3/#page0165/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_tg_BL3/#page0165/https://www.hmhco.com/rce/toc/
Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
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Top of page. Title
Original Text: Add and Subtract Within 1000
Updated Text: Add and Subtract Using Place Value
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Top of page. Title
Original Text: Add and Subtract Within 1000
Updated Text: Add and Subtract Using Place Value
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Entire spread
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Updated Text: (remove entire spread and repaginate activity)
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Updated URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/frc_mSpace_Anno_BL1/#page0177
Updated Text: (remove entire spread and repaginate activity)
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Current Page Number(s): 156 to 157
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Entire spread
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/md_mSpace_Anno_BL1/#page0177
Original Text: (remove entire spread and repaginate activity)
Updated URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/md_mSpace_Anno_BL1/#page0177
Updated Text: (remove entire spread and repaginate activity)
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Current Page Number(s): 158
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Under Student IEP Plan Development. Second Column. First bullet.
Original Text: ■ Use MAP Growth results to describe the student’s current performance.
Updated Text: Delete text entirely.
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Updated Text: (remove entire spread and repaginate activity)
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Current Page Number(s): 159
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Summarize & Assess
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_tg_BL3/#page0169/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
Updated URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_tg_BL3/#page0169/https://www.hmhco.com/rce/toc/
Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
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Under Progress Monitoring and Reporting. Second Column. First
bullet.
Original Text: ■ MAP Growth results
Updated Text: Delete text entirely.
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Current Page Number(s): 159
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Under Measurable Annual Goals. Second Column. First bullet.
Original Text: ■ Use MAP Growth results to track annual growth.
Updated Text: Delete text entirely.
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Question 13
Original Text: 6.4.B
Updated Text: 7.4.D
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Q7 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Q7 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Q6 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A
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Question 18
Original Text: 6.11.A
Updated Text: 8.5.B
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Q20, first answer
Original Text: (3⁄8) × $20.25: Incorrect. The student may have calculated the amount Ji spends
on pens ($20.25) and then chosen the answer which included that value.
on pens ($20.25) and then chosen the answer which included that value.
Updated Text: (3⁄8) × $20.25: Incorrect. The student may have calculated the amount Ji spends
on pens ($20.25) and then chosen the answer that included that value.
on pens ($20.25) and then chosen the answer that included that value.
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Current Page Number(s): 16
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Q14. First answer.
Original Text: (less that one whole)
Updated Text: (less than one whole)
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Current Page Number(s): 16
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Q8 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Q9 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Q3 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Question 26
Original Text: 8.9.A
Updated Text: 7.7.A
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Q20, fourth answer
Original Text: (5⁄8) × $54: Incorrect. The student may have chosen the expression which
calculates the amount spent on paper instead of pens.
calculates the amount spent on paper instead of pens.
Updated Text: (5⁄8) × $54: Incorrect. The student may have chosen the expression that
calculates the amount spent on paper instead of pens.
calculates the amount spent on paper instead of pens.
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Current Page Number(s): 16
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Q5 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Q5 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A
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Current Page Number(s): 16
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Q7 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A
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Current Page Number(s): 16
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Q9 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Question 7
Original Text: 4.4.E
Updated Text: 3.5.D
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Current Page Number(s): 16
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Q1 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Q9 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Q3 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Question 26
Original Text: Image: Graph with 4 quadrants showing two lines intersecting.
Updated Text: Image: Table with three columns and 5 rows. The first column is titled, Hours and the second column is titled Pages Read with two columns underneath. The first column is called Aaron and the second coloumn is called Tori. The second row has a 0 in the first column, 50 in the second, and 0 in the third. The third row has a 1 in the first column, 95 in the second, and 60 in the third. The fourth row has a 2 in the first column, 140 in the second, and 120 in the third. The fifth row has a 3 in the first column, 185 in the second, and 180 in the third.
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Current Page Number(s): 16
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Question 22
Original Text: 4.4.A
Updated Text: 5.3.K
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Current Page Number(s): 16
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Q5 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F, 3.G, 3.H
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Current Page Number(s): 16
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Q5 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A
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Current Page Number(s): 16
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Q2 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Q6 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Q5 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Current Page Number(s): 16
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Question 16
Original Text: 7.4.D
Updated Text: 7.4.B
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Current Page Number(s): 16
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Q8 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A
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Current Page Number(s): 16
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Q8 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
Change Type: Editorial Change
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Updated Text: 3.A
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Question 21
Original Text: 7.11.A
Updated Text: 7.7.A
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Q20, second answer
Original Text: (5⁄8) × $33.75: Incorrect. The student may have calculated the amount Ji spends
on paper ($33.75) and then chosen the answer which included that value.
on paper ($33.75) and then chosen the answer which included that value.
Updated Text: (5⁄8) × $33.75: Incorrect. The student may have calculated the amount Ji spends
on paper ($33.75) and then chosen the answer that included that value.
on paper ($33.75) and then chosen the answer that included that value.
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Q9 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Q4 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Q6 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Q8 ELPS Alignment Column
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Updated Text: 3.A, 3.F
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Q8 ELPS Alignment Column
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Updated Text: 3.A, 3.F
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Q8 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Question 11
Original Text: 3.3.C
Updated Text: 3.3.A
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Q2 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A
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Q4 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Q1 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Question 3
Original Text: 6.4.B
Updated Text: 7.4.B
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Q6 ELPS Alignment Column
Original Text: New Column added: ELPS Alignment
Updated Text: 3.A, 3.F
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Summarize & Assess
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Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
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Image: The title located inside the first light green-bordered box.
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Updated Text: Image: Pre-production and Beginning
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Original Text: Image: Light (WIDA Levels 5-6)
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The blue title in the 3rd text box.
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Updated Text: Intermediate and High-intermediate
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Image: The title located inside the second light green-bordered box.
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Updated Text: Image: Intermediate and High-intermediate
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The blue title in the 2nd text box.
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Updated Text: Pre-production and Beginning
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The blue title in the 4th text box.
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Original Text: Light (WIDA Levels 5-6)
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Updated Text: Advanced
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Language Development the entire last entry which starts "Moschkovish, J...."
Original Text: Moschkovich, J. (2012). Mathematics, the Common Core and language:
Recommendations for mathematics instruction for ELs aligned with the
Common Core. Paper presented at the Understanding Language Conference at
Stanford University, Stanford, CA.
Recommendations for mathematics instruction for ELs aligned with the
Common Core. Paper presented at the Understanding Language Conference at
Stanford University, Stanford, CA.
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College & Career Readiness State Standards the entire fifth entry which starts "Phillips, C., & Wong...."
Original Text: Phillips, V., & Wong, C. (2010). Tying together the common core of standards,
instruction, and assessments. Phi Delta Kappan, 91(5), 37–42.
instruction, and assessments. Phi Delta Kappan, 91(5), 37–42.
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Teaching for Understanding the entire first entry which starts "Ball, D. L...."
Original Text: Ball, D. L., & Forzani, F. M. (2011, Summer). Building a common core for learning to
teach, and connecting professional learning to practice. American Educator,
35(2), 17–21, 38–39.
teach, and connecting professional learning to practice. American Educator,
35(2), 17–21, 38–39.
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Teaching for Understanding the entire second entry which starts "Common Core...."
Original Text: Common Core State Standards Initiative. (2010). Common Core State Standards
for mathematics. Washington, DC: National Governors Association Center for
Best Practices and the Council of Chief State School Officers.
for mathematics. Washington, DC: National Governors Association Center for
Best Practices and the Council of Chief State School Officers.
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College & Career Readiness State Standards the entire second entry which starts "Conley, D.T...."
Original Text: Conley, D. T., Drummond, K. V., de Gonzalez, A., Rooseboom, J., & Stou, O. (2011).
Reaching the goal: The applicability and importance of the Common Core State
Standards to college and career readiness. Eugene, OR: Educational Policy
Improvement Center.
Reaching the goal: The applicability and importance of the Common Core State
Standards to college and career readiness. Eugene, OR: Educational Policy
Improvement Center.
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Bottom left and bottom right of page.
Original Text: Watermarks with text "Coming in 2025"
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Mathematical Thinking the entire third entry which starts "Confrey, J., & Krupa...."
Original Text: Confrey, J., & Krupa, E. (Eds.). (2010). Curriculum design, development, and
implementation in an era of Common Core State Standards. Summary report
of a Center for the Study of Mathematics Curriculum conference. Retrieved
from http://mathcurriculumcenter.org/conferences.php
implementation in an era of Common Core State Standards. Summary report
of a Center for the Study of Mathematics Curriculum conference. Retrieved
from http://mathcurriculumcenter.org/conferences.php
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Universal Design for Learning the entire first entry which starts "Common Core..."
Original Text: Common Core State Standards Initiative. (2010). Common Core State Standards
for mathematics. Washington, DC: National Governors Association Center for
Best Practices and the Council of Chief State School Officers.
for mathematics. Washington, DC: National Governors Association Center for
Best Practices and the Council of Chief State School Officers.
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Summarize & Assess
Original URL: https://www.hmhco.com/content/sis/math_180/g5_12/teacher/epub/rr_tg_BL3/#page0177/https://www.hmhco.com/rce/toc/
Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
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Updated Text: New Image: A hand in a garden touching a plant in a flowerpot
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Effective Professional Learning the entire first entry which starts "Ball, D. L....."
Original Text: Ball, D. L., & Forzani, F. M. (2011, Summer). Building a common core for learning to
teach, and connecting professional learning to practice. American Educator,
35(2), 17–21, 38–39.
teach, and connecting professional learning to practice. American Educator,
35(2), 17–21, 38–39.
Updated Text: publisher will delete this text
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Lesson 3, Standards column
Original Text: Mathematical Thinking Make use of structure. Use tools strategically. Grade-Level Content Connections The Number System Understand and use place value understanding and properties of operations to perform multi-digit arithmetic.
Updated Text: TEKS 2.4.D Generate and solve problem situations for a given mathematical number sentence involving addition and subtraction of whole numbers within 1,000. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Lesson 1, Standards column
Original Text: MATHEMATICAL THINKING Reason abstractly. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Geometry Solve problems involving scale drawings of geometric figures.
Updated Text: TEKS 5.3.I Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Lesson 5, Standards column
Original Text: Mathematical Thinking Make use of structure. Use tools strategically. Grade-Level Content Connections The Number System Use place value understanding and properties of operations to perform multi-digit arithmetic.
Updated Text: TEKS 2.2.A Use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones. TEKS 2.4.D Generate and solve problem situations for a given mathematical number sentence involving addition and subtraction of whole numbers within 1,000. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
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Lesson 3, Standards column
Original Text: MATHEMATICAL THINKING Reason abstractly. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS Geometry Solve real-world mathematical problems involving area, volume, and surface area of two- and three-dimensional objects.
Updated Text: TEKS 4.3.D Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Think-Pair-Share and Turn & Talk the entire fifth entry which starts "Moschkovish, J..."
Original Text: Moschkovich, J. (2012). Mathematics, the Common Core, and language:
Recommendations for mathematics instruction for ELs aligned with the
Common Core. Paper presented at the Understanding Language Conference at
Stanford University, Stanford, CA.
Recommendations for mathematics instruction for ELs aligned with the
Common Core. Paper presented at the Understanding Language Conference at
Stanford University, Stanford, CA.
Updated Text: publisher will delete this text
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Lesson 5, Standards column
Original Text: MATHEMATICAL THINKING Attend to precision. Model with mathematics. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Use variables to represent quantities in word problems.
Updated Text: TEKS 5.3.I Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
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Lesson 2, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=178
Original Text: MATHEMATICAL THINKING Make use of structure. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS Ratio & Proportional Relationships Solve unit rate problems.
Updated Text: TEKS 4.4.H Solve with fluency one- and two- step problems involving multiplication and division, including interpreting remainders. TEKS 4.4.F Use strategies and algorithms, including the standard algorithm, to divide up to a four- digit dividend by a one-digit divisor. including the standard algorithm, to divide up to a four- digit dividend by a one-digit divisor. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
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Lesson 2, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply properties of operations as strategies to add and subtract rational numbers.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Updated Text: TEKS 6.3.C Represent integer operations with concrete models and connect the actions with the models to standardized algorithms. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Current Page Number(s): 168
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Lesson 1, Standards column
Original Text: Mathematical Thinking Construct viable arguments. Attend to precision. Grade-Level Content Connections The Number System Use place value understanding and properties of operations to perform multi-digit arithmetic.
Updated Text: TEKS 2.4.D Generate and solve problem situations for a given mathematical number sentence involving addition and subtraction of whole numbers within 1,000. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Lesson 4, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=178
Original Text: MATHEMATICAL THINKING Make use of structure. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS The Number System Fluently divide multi-digit numbers using the standard algorithm.
Updated Text: TEKS 4.4.H Solve with fluency one- and two- step problems involving multiplication and division, including interpreting remainders. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Lesson 4, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Reason abstractly. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply and extend previous understandings of operations with fractions to add rational numbers.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Updated Text: TEKS 6.3.C Represent integer operations with concrete models and connect the actions with the models to standardized algorithms. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Current Page Number(s): 168
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Lesson 4, Standards column
Original Text: Mathematical Thinking Persevere and solve problems. Use tools strategically. Grade-Level Content Connections The Number System Understand and use place value and properties of operations to perform multidigit arithmetic using the standard algorithm.
Updated Text: TEKS 2.2.B Use standard, word, and expanded forms to represent numbers up to 1,200. TEKS 2.2.A Use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Lesson 2, Standards column
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Use repeated reasoning. GRADE- LEVEL CONTENT CONNECTIONS Geometry Solve real-world and mathematical problems involving area, surface area, and volume.
Updated Text: TEKS 6.3.E Multiply and divide positive rational numbers fluently. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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First column. Understandin g Mindset.
Original Text: Understanding Mindset Blackwell, L. S., Trzesniewski, K. H., & Dweck, C. S. (2007). Theories of intelligence predict achievement across an adolescent transition: A longitudinal study and an intervention. Child Development, 78(1), 246–263. Burnett, P. C., & Mandel, V. (2010). Praise and feedback in the primary classroom: Teachers’ and students’ -006-9022-8 Mindset Works. (n.d.). The power of belief— mindset and success [Carol Dweck on video]. Mindset Works. Retrieved from http://www.mindsetworks.com / Yeager, D. S., & Dweck, C. S. (2020). What can be learned from growth mindset controversies? American Psychologist, 75(9), 1269–1284. https://doi.org/10.1037/amp0000794 perspectives. Australian Journal of Educational & Developmental Psychology, 10, 145–154. Dweck, C. (2006). Mindset: The new psychology of success. New York, NY: The Random House Publishing Group. Dweck, C. (September 22, 2015). Carol Dweck Revisits the ‘Growth Mindset’. Education Week. Retrieved from https://www.edweek.org/leader ship/opinioncarol-dweck- revisits-the- growthmindset/2015/09 Malmivuori, M. (2006). Affect and self-regulation.
Educational Studies in Mathematics, 63(2), 149–164. https://doi.org/10.1007/s10649
Educational Studies in Mathematics, 63(2), 149–164. https://doi.org/10.1007/s10649
Updated Text: Delete text entirely.
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Motivation Through Progress the entire third entry which starts "Common Core..."
Original Text: Common Core State Standards Initiative. (2010). Common Core State Standards
for mathematics. Washington, DC: National Governors Association Center for
Best Practices and the Council of Chief State School Officers.
for mathematics. Washington, DC: National Governors Association Center for
Best Practices and the Council of Chief State School Officers.
Updated Text: publisher will delete this text
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Current Page Number(s): 168
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Lesson 4, Standards column
Original Text: MATHEMATICAL THINKING Make use of structure. Use tools strategically. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply understanding of multiplication to multiply rational numbers.
Updated Text: TEKS 5.3.I Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Current Page Number(s): 168
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Lesson 1, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=178
Original Text: MATHEMATICAL THINKING Construct viable arguments. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Fluently divide multi-digit numbers using the standard algorithm.
Updated Text: TEKS 4.4.H Solve with fluency one- and two- step problems involving multiplication and division, including interpreting remainders. TEKS 4.4.F Use strategies and algorithms, including the standard algorithm, to divide up to a four- digit dividend by a one-digit divisor. including the standard algorithm, to divide up to a four- digit dividend by a one-digit divisor. ELPS 1.E, 2.A, 2.B, 2.E, 2.F, 4.C, 4.F
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Current Page Number(s): 168
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Lesson 1, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Original Text: MATHEMATICAL THINKING Make use of structure. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Updated Text: TEKS 6.3.C Represent integer operations with concrete models and connect the actions with the models to standardized algorithms. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Current Page Number(s): 168
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Lesson 3, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=178
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Make use of structure. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Fluently divide multi-digit numbers using the standard algorithm.
Updated Text: TEKS 4.4.H Solve with fluency one- and two- step problems involving multiplication and division, including interpreting remainders. TEKS 4.4.F ELPS 1.E, 2.B, 2.E, 2.F, 4.F
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Current Page Number(s): 168
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Lesson 3, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Evaluate expressions at specific values of their variables.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Updated Text: TEKS 6.3.C Represent integer operations with concrete models and connect the actions with the models to standardized algorithms. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
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Current Page Number(s): 168
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Lesson 2, Standards column
Original Text: Mathematical Thinking Make use of structure. Use tools strategically. Grade-Level Content Connections The Number System Understand and use place value understanding and properties of operations to perform multi-digit arithmetic using the standard algorithm.
Updated Text: TEKS 2.4.D Generate and solve problem situations for a given mathematical number sentence involving addition and subtraction of whole numbers within 1,000. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Current Page Number(s): 168
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Lesson 5, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_md_2025_ptg_Multiplication%20and%20Division.pdf#page=178
Original Text: MATHEMATICAL THINKING Attend to precision. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Identifying common factors and common multiples is an essential skill when factoring and simplifying expressions.
Updated Text: TEKS 3.4.F Recall facts to multiply up to 10 by 10 with automaticity and recall the corresponding division facts. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
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Lesson 5, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Model with mathematics. Use tools strategically. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers, using tools strategically.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_di_2025_ptg_Decimals%20and%20Integers.pdf#page=178
Updated Text: TEKS 6.3.C Represent integer operations with concrete models and connect the actions with the models to standardized algorithms. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
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Summarize & Assess
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Original Text: Original Image: Different color girl icons with the words, 775 million adults around the word can't read
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Answers Up the entire first entry which starts "Common Core..."
Original Text: Common Core State Standards Initiative. (2010). Common Core State Standards
for mathematics. Washington, DC: National Governors Association Center for
Best Practices and the Council of Chief State School Officers.
for mathematics. Washington, DC: National Governors Association Center for
Best Practices and the Council of Chief State School Officers.
Updated Text: publisher will delete this text
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Under A in the first column. Located under Assessment.
Original Text: MAP Growth, 18–19, 106, 108– 109, 110–119, 138, 142, 146, 148- 149, 155 Mindset Scan, 9, 59, 102, 138,142, 158
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sixth entry in Index under C
Original Text: (Common Core State Standards)
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Under G in the second
column.
Original Text: Growth Mindset, 7, 9, 17, 58–59, 102–103 127, 152, 158–159
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Under M in the first
column.
Original Text: MAP Growth, 19, 106, 108–109,110–119, 138–139, 142, 146,148–149, 155
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Under N in the first column.
Original Text: NWEA MAP Growth Assessment. See MAP Growth
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Under S in the second
column.
Original Text: Summative Assessment. See MAP Growth
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Under M in the first column.
Original Text: Mindset Scans, 9, 59, 102, 138, 142, 158
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Under S in the second column.
Located under Student Experience
Original Text: Mindset Scans, 9, 59, 102, 138, 142, 158
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Lesson 3, Standards column
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Persevere and solve problems. Use tools strategically. GRADE-LEVEL CONTENT CONNECTIONS Algebra Generate an equivalent system for a system of two 2-variable equations.
Updated Text: TEKS A1.5.C Solve systems of two linear equations with two variables for mathematical and real-world problems. ELPS 1.E, 2.A, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
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Lesson 1, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=186
Original Text: MATHEMATICAL THINKING Reason abstractly. Make use of structure. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Algebra Create equations and inequalities in one variable and use to solve problems.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=186
Updated Text: TEKS 6.5.A Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
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Lesson 5, Standards column
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Algebra Solve a 2-variable linear-quadratic system algebraically and graphically.
Updated Text: TEKS A2.3.C Solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
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Lesson 3, Standards column
Original URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=186
Original Text: MATHEMATICAL THINKING Make use of structure. Model with mathematics. Reason abstractly. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Compute unit rates associated with ratios of fractions.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=186
Updated Text: TEKS 6.4.B Apply qualitative and quantitative reasoning to solve prediction and comparison of real- world problems involving ratios and rates. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
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Lesson 2, Standards column
Original Text: MATHEMATICAL THINKING Reason abstractly. Make use of structure. Persevere and solve problems. GRADE-LEVEL CONTENT CONNECTIONS Functions Interpret the parameters in a linear or exponential function from a context.
Updated Text: TEKS 8.4.B Graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
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Lesson 5, Standards column
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Original Text: MATHEMATICAL THINKING Reason abstractly. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Understand and describe a unit rate a/b associated with a ratio a:b , with b ≠ 0.
Updated URL: https://www.hmhco.com/content/sis/math_180/g3_12/teacher/pdf/m180_rr_2025_ptg_Rates%20and%20Ratios.pdf#page=186
Updated Text: TEKS 6.5.A Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
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Lesson 4, Standards column
Original Text: MATHEMATICAL THINKING Construct viable arguments. Model with mathematics. Use tools strategically. GRADE-LEVEL CONTENT CONNECTIONS Functions Recognize when a quantity changes at a constant rate relative to another.
Updated Text: TEKS 7.7 Represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
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Lesson 1, Standards column
Original Text: MATHEMATICAL THINKING Reason abstractly. Make use of structure. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS Algebra Solve systems of linear equations focusing on pairs of 2-variable equations.
Updated Text: TEKS 8.8.B Write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
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Lesson 2, Standards column
Original Text: MATHEMATICAL THINKING Reason abstractly. Use tools strategically. Persevere and solve problems. GRADE-LEVEL CONTENT CONNECTIONS Algebra Solve systems of linear equations focusing on pairs of 2-variable equations.
Updated Text: TEKS 8.5.A Represent linear proportional situations with tables, graphs, and equations in the form of y = kx. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
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Lesson 4, Standards column
Original Text: MATHEMATICAL THINKING Attend to precision. Model with mathematics. Construct viable arguments. GRADE-LEVEL CONTENT CONNECTIONS Functions Graph functions expressed symbolically, and show key features of the graph.
Updated Text: TEKS 8.9 Identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F