Every Problem Matters. Our expert-designed curriculum builds conceptual understanding through a deliberate instructional sequence. Breakthrough manipulative models support carefully crafted lessons that progress from concrete-representational to abstract. Students progress from virtual manipulatives to number sentences and equations, building conceptual understanding and procedural fluency.
The following screens describe one exemplary lesson. Note how this lesson carefully scaffolds from from concrete-representational to abstract in sets of 6 problems each. The Skills Check at the end has numeric procedures only, with no visual model support.
Big Ideas 2, Topic 1, Lesson 1: Adding Unit Fractions
Note: Each step contains 6 problems.