Original Text: Precise Placement & Most Trusted Assessment ■ Confirms placement and serves as a benchmark to monitor student progress ■ Eliminates guesswork with reliable, quantitative recommendations ■ Can automatically place student into Math 180 content
Original Text: A company orders a shipment of 100 mobile phones. The decimal grid represents the number of phones that have been delivered. What portion of the phones has the company received?
Updated Text: A company owes $100 for a shipment of toy phones. The decimal grid represents the number of dollars paid upfront. What portion of the dollars owed was paid upfront?
Original Text: A company orders a shipment of 100 mobile phones. The decimal grid represents the number of phones that have been delivered. What portion of the phones has the company received?
Updated Text: A company owes $100 for a shipment of toy phones. The decimal grid represents the number of dollars paid upfront. What portion of the dollars owed was paid upfront?
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 201
Location:
Problem text in images on right side of page for Steps 1, 2, 3, and 4
Original Text: A company orders a shipment of 100 mobile phones. The decimal grid represents the number of phones that have been delivered. What portion of the phones has the company received?
Updated Text: A company owes $100 for a shipment of toy phones. The decimal grid represents the number of dollars paid upfront. What portion of the dollars owed was paid upfront?
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 201
Location:
Bottom left, Guided Learning, Step 4, EXPLORE, last sentence
Original Text: A company orders a shipment of 100 mobile phones. The decimal grid represents the number of phones that have been delivered. What portion of the phones has the company received?
Updated Text: A company owes $100 for a shipment of toy phones. The decimal grid represents the number of dollars paid upfront. What portion of the dollars owed was paid upfront?
Original Text: A company orders a shipment of 100 mobile phones. The decimal grid represents the number of phones that have been delivered. What portion of the phones has the company received?
Updated Text: A company owes $100 for a shipment of toy phones. The decimal grid represents the number of dollars paid upfront. What portion of the dollars owed was paid upfront?
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 201
Location:
Top left, Guided Learning, Step 1, first parentheses
Original Text: MAP Growth Math performance level metrics that are aligned with rigorous content standards by grade level and can be used as reasonable estimates of a student’s level of proficiency
Original Text: Replay the Anchor Video “1 in 5”
What are some ways that ratio relationships were used as new schools were being built? (Ratios such as staff-to-student numbers helped make projections for school capacities.)
What other mathematical ways can we express 1 in 5? (Possible responses: 1/5, 20%, 1∶4, 1 per 5) [1:4 needs to be changed to 1:5]
How do you think making projections and determining profits helps Free the Children meet its goals? (By using mathematics to make good business decisions, the organization will continue to have the resources to promote universal education.)
Updated Text: Replay the Anchor Video “Seeding Success”
After watching the video, read aloud the Anchor Video Connection and briefly discuss the video.
What are some ways that percents were used to help the Edible Education Experience? (Possible responses: Percents such as money raised from donations and grants helped make projections about future projects.)
Class Fees make up 25% of their funding. What other mathematical ways can we express 25%? (Possible responses: 25:100, 1:4, 1 _ 4 , 25 per 100)
How do you think making projections and determining profits helps Edible Education Experience meet its goals? (By using mathematics to make good business decisions, the organization will continue to have the resources to promote new education opportunities.)
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Use variables to represent quantities in a mathematical problem.
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.C, 4.F
Original Text: MATHEMATICAL THINKING Reason abstractly. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Write equations for x + p = q and px = q, where p, q, and x are all nonnegative rational numbers.
Updated Text: TEKS 6.4.D Give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
Original Text: MATHEMATICAL THINKING Make use of structure. Persevere and solve problems. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply and extend previous understandings of multiplication to multiply rational numbers.
Updated Text: TEKS 5.3.E Solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers. ELPS 1.E, 2.B, 2.E, 2.F, 4.F
Original Text: MATHEMATICAL THINKING Reason abstractly. Use repeated reasoning. GRADE-LEVEL CONTENT CONNECTIONS The Number System Know that the decimal form of a rational number terminates in 0s or eventually repeats.
Updated Text: TEKS 4.2.E Represent decimals, including tenths and hundredths, using concrete and visual models and money. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Model with mathematics. Use tools strategically. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Compute unit rates associated with ratios.
Original Text: MATHEMATICAL THINKING Construct viable arguments. Model with mathematics. Persevere and solve problems. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Use proportional relationships to solve multi-step ratio and percent problems.
Original Text: Mathematical Thinking Use repeated reasoning. Make use of structure. Grade-Level Content Connections Operations & Algebraic Thinking Represent twostep word problems using equations with a letter standing for the unknown quantity and solve problems using the four operations.
Updated Text: TEKS 1.3.B Use objects and pictorial models to solve word problems involving joining, separating, and comparing sets within 20 and unknowns as any one of the terms in the problem such as 2 + 4 = [ ]; 3 + [ ] = 7; and 5 = [ ] - 3. TEKS 1.3.D, TEKS 1.3.F, TEKS 2.7C ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 3.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Make use of structure. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply properties of operations as strategies to add and subtract rational numbers.
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Reason abstractly. Model with mathematics. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Use proportional relationships to solve multi-step ratio and percent problems.
Original Text: MATHEMATICAL THINKING Reason abstractly. Model with mathematics. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Geometry Use coordinates to describe dilations, translations, rotations, and reflections.
Updated Text: TEKS 8.10.C Explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation. ELPS 1.E, 2.A, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: Mathematical Thinking Make use of structure. Attend to precision. Grade-Level Content Connections The Number System Fluently add and subtract within 100.
Original Text: MATHEMATICAL THINKING Attend to precision. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Solve real-life and mathematical problems with rational numbers in any form using tools strategically.
Updated Text: TEKS 5.3.H Represent and solve addition subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
Original Text: MATHEMATICAL THINKING Attend to precision. Reason abstractly. Construct viable arguments. GRADE-LEVEL CONTENT CONNECTIONS Functions Describe the functional relationship between 2 quantities using a graph.
Original Text: MATHEMATICAL THINKING Attend to precision. Persevere and solve problems. Construct viable arguments. GRADE-LEVEL CONTENT CONNECTIONS Functions Interpret the parameters in a linear or exponential function from a context.
Updated Text: TEKS 8.4.A Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y2 - y1)/ (x2 - x1), is the same for any two points (x1, y1) and (x2, y2) on the same line. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Reason abstractly. Persevere and solve problems. GRADE-LEVEL CONTENT CONNECTIONS The Number System Find the greatest common factor of two whole numbers.
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.C, 4.F
Original Text: MATHEMATICAL THINKING Reason abstractly. Use tools strategically. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Solve unit rate problems involving unit pricing and constant speed.
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Solve problems involving the 4 operations with rational numbers.
Original Text: MATHEMATICAL THINKING Use repeated reasoning. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Write and evaluate expressions in which letters stand for numbers.
Updated Text: TEKS 4.5.A Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity. TEKS 3.5.B ELPS 1.E, 2.B, 2.E, 2.F, 4.F
Original Text: MATHEMATICAL THINKING Make use of structure. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Understand informally that every number has a decimal expansion.
Updated Text: TEKS 4.2.B Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals. ELPS 1.E, 2.A, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Construct viable arguments. Reason abstractly. GRADE-LEVEL CONTENT CONNECTIONS The Number System Convert a rational number to a decimal using long division.
Updated Text: TEKS 5.3.E Solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Reason abstractly. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Use proportional relationships to solve multi-step ratio and percent problems.
Updated Text: TEKS 6.5.B Solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.F
Original Text: MATHEMATICAL THINKING Reason abstractly. Use repeated reasoning. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS The Number System Understand informally that every number has a decimal expansion.
Updated Text: TEKS 5.2.B Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =. ELPS 1.E, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
Original Text: Mathematical Thinking Construct viable arguments. Reason abstractly. Grade-Level Content Connections The Number System Fluently add and subtract within 100.
Updated Text: TEKS 1.3.B Use objects and pictorial models to solve word problems involving joining, separating, and comparing sets within 20 and unknowns as any one of the terms in the problem such as 2 + 4 = [ ]; 3 + [ ] = 7; and 5 = [ ] - 3. TEKS 1.3.D, TEKS 1.3.F, TEKS 2.4.A ELPS 1.E, 2.A, 2.B, 2.E, 2.F, 3.G, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Reason abstractly. Model with mathematics. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Apply the properties of operations to calculate with numbers in any form.
Updated Text: TEKS 5.3.H Represent and solve addition subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations ELPS 1.E, 2.A, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Attend to precision. Reason abstractly. Persevere and solve problems. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Use proportional relationships to solve multi-step ratio and percent problems.
Original Text: Mathematical Thinking Persevere and solve problems. Make use of structure. Grade-Level Content Connections The Number System Fluently add and subtract within 100.
Updated Text: TEKS 1.3.D Apply basic fact strategies to add and subtract within 20, including making 10 and decomposing a number leading to a 10. TEKS 2.4.A Recall basic facts to add and subtract within 20 with automaticity. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Attend to precision. GRADE-LEVEL CONTENT CONNECTIONS The Number System Apply and extend previous understandings of operations with fractions to rational numbers.
Updated Text: TEKS 5.3.H Represent and solve addition subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations ELPS1.E, 2.B, 2.E, 2.F, 4.F
Original Text: MATHEMATICAL THINKING Reason abstractly. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Ratios & Proportional Relationships Use proportional relationships to solve multi-step ratio and percent problems.
Updated Text: TEKS 6.5.B Solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Model with mathematics. Use tools strategically. Persevere and solve problems. 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 8.4.A Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y2 - y1)/ (x2 - x1), is the same for any two points (x1, y1) and (x2, y2) on the same line. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Make use of structure. Reason abstractly. GRADE-LEVEL CONTENT CONNECTIONS Geometry Solve real-world and mathematical problems involving area.
Updated Text: TEKS 3.4.E Represent multiplication facts by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Make use of structure. Use tools strategically. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Use variables to represent 2 quantities that change in relation to one another. Ratios & Proportional Relationships Make equivalent ratio tables and plot pairs : of values on the coordinate plane.
Original Text: MATHEMATICAL THINKING Make use of structure. Persevere and solve problems. Construct viable arguments. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Solve linear equations with rational number coefficients. MATHEMATICAL THINKING
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, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Persevere and solve problems. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS The Number System Find the greater common factor of two whole numbers less than or equal to 100.
Updated Text: TEKS 3.5.D Determine the total number of objects when equally-sized groups of objects are combined or arranged in arrays up to 10 by 10. number in a multiplication or division equation relating three whole numbers when the unknown is either a missing factor or product. ELPS 1.E, 2.B, 2.E, 2.F, 4.C, 4.F
Original Text: MATHEMATICAL THINKING Reason abstractly. Make use of structure. GRADE-LEVEL CONTENT CONNECTIONS Expressions & Equations Graph proportional relationships and interpret unit rate as the slope.
Updated Text: Add 2 yellow counters in the first ten frame by clicking the + button.
When I run out of room in the first ten frame, I move to the second ten frame.
Add 3 yellow counters in the second ten frame as shown, by clicking the + button.
Updated Text: Next, we need to represent the second addend.
Where do we place the first yellow counter? (in the last box of the first ten frame) Why? (The first ten frame needs to be full before moving to the next.)
Add 1 yellow counter in the first ten frame.
How many more yellow counters do we need to add to the second ten frame? (two) How do you know? (There needed to be three counters altogether. There was already one, so there are two left to place.)
Add 2 yellow counters in the second ten frame.
Original Text: Lani makes money from her blog every time someone clicks on an ad. Her blog gets 3 ad clicks each hour for 4 hours. How many total ad clicks does Lani’s blog get during that time?
Updated Text: Lani makes money for every magazine article she writes. She writes 3 articles a week for 4 weeks. How many total articles does Lani right during that time?
Original Text: Dana posts 7 videos online. Hayley posts 3 times as many videos as Dana. Juan posts 2 times as many videos as Hayley. How many videos does Juan post?
Updated Text: Dana reads 7 books during the summer. Hayley reads 3 times as many books as Dana. Juan reads 2 times as many books as Hayley. How many books does Juan read?
Juan reads ______ books.
Original Text: Penny likes to visit a popular video website. The site averages 30 visits per hour for the next 50 hours. How many total visits does Penny’s favorite site get?
The website gets ___ total visits in 50 hours.
Updated Text: A toll booth records the number of cars that pass through every hour. The booth averages 30 cars per hour for the next 50 hours. How many total cars pass through the toll booth?
The toll booth gets ___ total cars in 50 hours.
Original Text: Five people donated blood. They gave 3/10 pint, 5/4 pint, 3/8 pint, 11/16 pint, and 9/16 pint. Put the amounts in order from least to greatest.
Updated Text: Five school nurses gave out healthy snack packs during field day. They handed out 3/10, 5/4, 3/8, 11/16, and 9/16 of a box of snacks. Put the amounts in order from least to greatest.
Original Text: Emergency responders record the distances traveled for each incident. The distances are 2/10 mi, 5/6 mi,5/4 mi,5/8 mi, and 2/5 mi. Put the amounts in order from least to greatest.
Updated Text: First responders record the distances traveled for each incident. The distances are 2/10 mi, 5/6 mi,5/4 mi,5/8 mi, and 2/5 mi. Put the amounts in order from least to greatest.
Original Text: Kim has 4 times as many apps as Lee. She has 10 fewer apps than Sarah. Kim, Lee, and Sarah have 55 apps altogether. How many apps does Lee have?
Lee has ______ apps.
Updated Text: Kim has 4 times as many stickers as Lee. She has 10 fewer stickers than Sarah. Kim, Lee, and Sarah have 55 stickers altogether. How many stickers does Lee have?
Lee has ______ stickers.
Original Text: A social media editor manages the online media for a company.
How could a social media editor use multiplication to figure the number of site hits in 1 week?
Updated Text: A digital marketing analyst uses data to improve marketing content.
How could a digital marketing analyst use multiplication to figure out the number of site hits in 1 week?
Dave’s goal is to write 20 reviews on his blog each week. Last week, he wrote 3 reviews each day for 7 days. How many reviews did Dave write last week? Did he meet his goal?
Dave’s goal is to write 20 reviews each week. Last week, he wrote 3 reviews each day for 7 days. How many reviews did Dave write last week? Did he meet his goal?
Jin’s website offers free music downloads for an upcoming concert. Yesterday, 5 people downloaded 5 songs each. How many songs did they download altogether?
Original Text: 7 contestants on a TV show send 8 text messages each to friends asking for their votes. How many text messages did they send in all?
The contestants sent _____ text messages altogether.
Updated Text: 7 contestants on a TV show send 8 messages each to friends asking for their votes. How many messages did they send in all?
The contestants sent _____ messages altogether.
Original Text: Growth MindsetMath 180 fosters a growth mindset by showing students that their efforts lead to success. Understanding Mindset . . . 44 Purpose and Agency . . . 46
Updated Text: Layla is giving away travel-size lotion samples to her returning customers. Each sample contains 1/4 pint of lotion. If she gives away seven samples, how many pints of lotion has she used?
Draw a number line to find out how many pints of lotion Layla uses, and represent the amount as a mixed number.
Original Text: Five people donated blood. They gave 3/10 pint, 5/4 pint, 3/8 pint, 11/16 pint, and 9/16 pint. Put the amounts in order from least to greatest.
Updated Text: Five school nurses gave out healthy snack packs during field day. They handed out 3/10, 5/4, 3/8, 11/16, and 9/16 of a box of snacks. Put the amounts in order from least to greatest.
Original Text: Emergency responders record the distances traveled for each incident. The distances are 2/10 mi, 5/6 mi,5/4 mi,5/8 mi, and 2/5 mi. Put the amounts in order from least to greatest.
Updated Text: First responders record the distances traveled for each incident. The distances are 2/10 mi, 5/6 mi,5/4 mi,5/8 mi, and 2/5 mi. Put the amounts in order from least to greatest.
Change Type: Editorial Change
Submitted:
Updated:
Current Page Number(s): 4
Location:
Find the Values of Missing Factors, Practice left problem (Student page)
Original Text: A total of 36 text messages are sent by 3 people. Each person sends the same number of text messages. How many text messages does each person send?
Each person sends ____ text messages.
Updated Text: A total of 36 messages are sent by 3 people. Each person sends the same number of messages. How many messages does each person send?
Each person sends ____ messages.
Original Text: Mia has a total of 72 photos in 9 albums on a photosharing website. Each album has the same number of photos. How many photos are in each album?
Original Text: Tara sends 6 text messages. Amy sends 5 times as many messages as Tara. Rick sends 3 times as many messages as Tara. How many messages do they send altogether?
Updated Text: Tara creates 6 cards. Amy creates 5 times as many cards as Tara. Rick creates 3 times as many cards as Tara. How many cards do they create altogether?
Original Text: During the Olympic Games, the difference between first and second place can be a fraction of a second. In this video, we’ll learn how time is measured precisely using decimals. Play the Anchor Video, “Against the Clock.” The video shows how technology is used to accurately measure, record, and communicate athletes’ finish times during an Olympic event. Read the Block Preview Question aloud and have students record and share their responses. In this Block, we’ll learn to use decimal numbers. We’ll also learn how math is used in computer and technology careers.
Updated Text: Qualifying to compete in the Olympic Games can be determined by a fraction of a second. In this video, we’ll learn how time is measured precisely using decimals. Play the Anchor Video “Against the Clock.” The video shows how an athletic trainer uses precise timing and technology to train a swimmer for the Paralympics. Read the Block Preview Question aloud and have students record and share their responses. In this Block, we’ll learn to use decimal numbers. We’ll also learn how math is used in computer and technology careers.
Original Text: A clinic separates a blood donation into platelets and red blood cells. The donation is 11/20 platelets and 3/8 red blood cells. Does the donation contain more platelets or red blood cells?
The donation contains more platelets than red
Updated Text: An art teacher separates 20 paint brushes by new and old. She has 11/20 new paint brushes and 3/8 old paint brushes. Does she have more new paint brushes or old paint brushes?
She has more newer paint brushes than old paint brushes.
Original Text: In this video, we'll see how Amazon gets its goods from warehouses to homes.
Play the Anchor Video, "Speedy Delivery." The video shows how Amazon uses spaces efficiently to speed up the delivery of goods to its customers.
How did Amazon begin (Amazon began in a garage with Jeff delivering his own packages.) Why aren't the routes in a straight line? (The routes aren't in a straight line to decrease the total distance and increase efficiency.)
Updated Text: In this video, we'll learn how logistics experts plan deliveries to make sure packages arrive to a customer's home within 24 hours.
Play the Anchor Video, "Speedy Delivery." The video shows how a logistics company uses different modes of transportation to ship an online order.
What cost-saving transportation modes can a company use for slower delivery? (ground shipping such as a truck or cargo ship) What transportation modes can a company use to prioritize fast delivery over cost savings? (airplanes)
Original Text: A website rates blogs by how popular they are each day. Jai’s blog gets 4 positive reviews each day for 6 days. How many total positive reviews does Jai’s blog get during that time?
Jai gets a total of 24 positive reviews for his blog.
Updated Text: A restaurant tracks the number of good reviews it gets. The restaurant gets 4 positive reviews each day for 6 days. How many total positive reviews does the restaurant get during that time?
The restaurant gets a total of 24 positive reviews.
Original Text: A store recruits 4 people to test 52 apps. Each person tests an equal number of apps. How many apps does each person test?
Each person tests ___ apps.
Updated Text: A library recruits 4 volunteers to sort 52 books into categories. Each person sorts an equal number of books. How many books does each person sort?
Each person sorts ___ books.
Original Text: Alesha sends emails about a video game to 4 people. She sends 2 emails to each person. How many emails does she send altogether?
Alesha sends _____ emails altogether.
Updated Text: Alesha sends 4 people flyers about a new game. She gives each person 2 flyers. How many flyers does she give out altogether?
Alesha gives out _____ flyers altogether.
Original Text: Alesha sends emails about a video game to 4 people. She sends 2 emails to each person. How many emails does she send altogether?
Alesha sends _____ emails altogether.
Updated Text: Alesha sends 4 people flyers about a new game. She gives each person 2 flyers. How many flyers does she give out altogether?
Alesha gives out _____ flyers altogether.
Original Text: Each part represents 1 person. Each person gets 2 emails. I’ll use the variable n to represent the unknown—that is, the total number of emails.
Updated Text: Each part represents 1 person. Each person gets 2 flyers. I’ll use the variable n to represent the unknown—that is, the total number of flyers.
actually answers the question in the problem. The question is: How many emails does she send altogether?
4 people each get 2 emails. I can add 2 four times: 2 + 2 + 2 + 2 = 8. Or I can count by 2s: 2, 4, 6, 8. Both methods give me a total of 8 emails. My answer makes sense.
actually answers the question in the problem. The question is: How many flyers does she give out altogether?
4 people each get 2 flyers. I can add 2 four times: 2 + 2 + 2 + 2 = 8. Or I can count by 2s: 2, 4, 6, 8. Both methods give me a total of 8 flyers. My answer makes sense.
Original Text: Alesha sends emails about a video game to 4 people. She sends 2 emails to each person. How many emails does she send altogether?
Alesha sends _____ emails altogether.
Updated Text: Alesha sends 4 people flyers about a new game. She gives each person 2 flyers. How many flyers does she give out altogether?
Alesha gives out _____ flyers altogether.
Original Text: Alesha sends emails about a video game to 4 people. She sends 2 emails to each person. How many emails does she send altogether?
Alesha sends _____ emails altogether.
Updated Text: Alesha sends 4 people flyers about a new game. She gives each person 2 flyers. How many flyers does she give out altogether?
Alesha gives out _____ flyers altogether.
Original Text: In this problem, the unknown is the total number of emails Alesha sent. I know this is an equal groups problem, because I have to solve for 4 equal groups of 2 emails. The first step in the routine is to read the problem carefully.
Updated Text: In this problem, the unknown is the total number of flyers Alesha gave out. I know this is an equal groups problem, because I have to solve for 4 equal groups of 2 flyers. The first step in the routine is to read the problem carefully.