Evaluation for 4.2a
Materials demonstrate coherence across concepts horizontally within the grade level by connecting patterns, big ideas, and relationships.
TheDreamBox Mathinstructional materials demonstrate horizontal coherence by intentionally sequencing related mathematical concepts within the same grade level. In Lesson K-2, for example, students begin by ordering numbers on a number line, a foundational skill that builds number sense and an understanding of relative magnitude. This understanding is then extended as students place numbers on a hundreds chart, reinforcing patterns in place value and numerical structure. Finally, students represent numbers using a math rack and identify the corresponding numeral, integrating visual models with symbolic representation. This progression supports the development of a coherent understanding of number concepts through multiple representations and interconnected tasks.TheReviewerSite illustrates within-grade-level coherence by noting that "DreamBoxdevelops procedural fluency by enabling students to explore multiple pathways to a solution and encouraging strategic flexibility. Students engage with models, manipulatives, and symbolic representations to build efficiency, accuracy, and confidence." The materials also demonstrate horizontal coherence across concepts within the grade level by connecting patterns, big ideas, and relationships among tallies, graphs, and word problems.TheDreamBox Mathgrade2instructional materials demonstrate horizontal coherence across concepts in second grade by sequencing lessons that build upon one another conceptually. In Lesson 2.2B, students begin by decomposing numbers by place value, reinforcing their understanding of base-10structure. This is followed by activities that require students to identify a number based on its decomposition, strengthening their ability to make connections between parts and wholes. Finally, students engage in tasks that involve correcting decompositions presented in a table format, allowing them to apply their knowledge in a structured and analytical context. This progression supports a coherent development of place value understanding within the grade level.TheDreamBox Mathinstructionalmaterials demonstrate horizontal coherence by intentionally connecting patterns, big ideas, and relationships within the same grade level. Lessons are sequenced to build conceptually, reinforcing understanding through recurring models, representations, and mathematical language. This design enables students to deepen their comprehension of foundational skills while making meaningful connections across related content areas. According toDreamBox, "Learning progressions are developed along vertical (across grade levels) and horizontal (within a grade level) axes, promoting connections across domains and supporting increasing complexity as students move toward algebra readiness." This dual-axis structure ensures that students not only revisit key concepts from multiple perspectives within the grade level but also experience a logical progression of ideas that supports long-term mathematical growth. Through this coherent approach, the curriculum fosters conceptual understanding that extends beyond isolated skills, helping students apply their learning across various mathematical concepts.