In order to develop a deep conceptual understanding, a high degree of procedural skill and fluency, and the practical application of mathematics skills to solve problems, Math Trailblazers 4th Edition focuses on addition and subtraction concepts, skills, and problem solving in Grades K–2. In Grades 3–5, the focus is on concepts, skills, and problem solving related to multiplication and division of whole numbers and fractions. Students’ learning is connected across grade levels to create a coherent curriculum in which students continually build mathematical understanding.
Within Math Trailblazers, the Key Ideas establish specific Expectations for what students should know and be able to do as a result of their mathematics education. Expectations are defined for both mathematical content and mathematical practices. Content Expectations are written for each unit and define the specific expectations for what students should know and be able to do as a result of the learning experiences in that unit. See Figure 2 for a list of Expectations from Grade 4 Unit 3.
Figure 2: A list of content Expectations from Grade 4 Unit 3: Products and Factors
In Figure 3, the CCSSM Standards for Mathematical Content are aligned with the Key Ideas in Math Trailblazers using content standards for Grade Four as an example.
Figure 3: Intersection between Key Ideas in Math Trailblazers and the Fourth Grade Standards for Math Content in the Common Core State Standards for Mathematics