Unit 1: Proportional Relationships
Students:
- recall familiar concepts of ratios and unit rates from sixth grade.
- work with more complicated unit rates involving fractions.
- investigate the concept of proportionality.
- use tables, equations, and graphs to compare proportional relationships and non-proportional relationships and the contexts under which they arise.
Unit 2: Operations with Rational Numbers
Students:
- learn that the properties of operations they use with whole numbers, fractions, and decimals apply to all rational numbers, including negative numbers.
- Develop a strong conceptual understanding and procedural ability to work with rational numbers.
Unit 3: Numerical and Algebraic Expressions, and Unit 4, Equations and Inequalities
Students:
- students use their number sense skills learned in the previous unit to evaluate expressions, generate equivalent expressions, and efficiently solve equations and inequalities.
- Students become increasingly more adept at modeling situations, decontextualizing situations in order to represent them algebraically, and then recontextualizing to interpret their meaning.
Unit 5: Proportional Reasoning with Percent and Scaling,
Students:
- Students are reengaged with the concept of proportionality from Unit 5, but this time they investigate and solve problems involving percent and scale drawings.
Unit 6: Geometry
Students:
- Further their study of measuring two-dimensional and three-dimensional figures by finding volume, surface area, and angle measures.
- Study triangles in depth and are introduced to constructions which they will revisit in high school geometry.
Unit 7: Statistics, and Unit 8, Probability
Students:
- Find and use statistical measures to compare distributions and make inferences about populations.
- In probability concepts, they lean on their understandings of ratio and proportions learned earlier in the year.