Unit 1: Understanding and Representing Ratios
Students learn both concrete and abstract representations, including double number lines and tables, which they will be able to use throughout the year.
Unit 2: Unit Rates and Percent
- Students continue their study of ratios by extending the concept to rates and percentages.
- Students use the representations they learned in Unit 1 to reason through more complex ratio, rate, and percent problems.
- Later in Unit 6, students will revisit solving percent problems when they study solving equations.
Unit 3: Multi-Digit and Fraction Computation, and Unit 4, Rational Numbers
- Students focus on the number system.
- Students apply understandings to new computations with fractions, and expanding their understanding of the world of numbers to include negatives.
Unit 5: Numerical and Algebraic Expressions, and Unit 6, Equations and Inequalities
- Students lean on their work with the number system from Unit 3 to support their work with numerical expressions and solving equations.
- Students revisit ratio concepts from the first two units by representing relationships in the coordinate plane and with equations.
- Students also apply their equation skills to percent problems as another method to solve problems.
Unit 7: Geometry
- Students learn how composing and decomposing unfamiliar shapes into familiar ones can extend their ability to find area and volume.
- Students draw on knowledge and skills from major work of the grade covered in previous units of the year in order to determine measurements, understand formulas, and represent 2-dimensional shapes in the coordinate plane.
Unit 8: Statistics
- Students are introduced to the study of statistics.
- They learn how to represent sets of data and how using different measurements about the data set can be used to analyze the information and answer the statistical question.