Ratios and Proportional Relationships 6.RP Major Clusters • Understand ratio concepts and use ratio reasoning to solve problems. (6.RP.1–3 )
The Number System 6.NS Major Clusters • Apply and extend previous understandings of multiplication and division to divide fractions by fractions. (6.NS.1 ) • Apply and extend previous understandings of numbers to the system of rational numbers. (6.NS.5–8 ) Additional/Supporting Clusters • Compute uently with multi-digit numbers and nd common factors and multiples. (6.NS.2–4)
Expressions and Equations 6.EE Major Clusters • Apply and extend previous understandings of arithmetic to algebraic expressions. (6.EE.1–4 ) • Reason about and solve one-variable equations and inequalities. (6.EE.5–8 ) • Represent and analyze quantitative relationships between dependent and independent variables. (6.EE.9 )
Geometry 6.G Additional/Supporting Clusters • Solve real-world and mathematical problems involving area, surface area, and volume. (6.G.1–4)
Statistics and Probability 6.SP Additional/Supporting Clusters • Develop understanding of statistical variability. (6.SP.1–3) • Summarize and describe distributions. (6.SP.4–5)
7th Grade Units
Ratios and Proportional Relationships 7.RP Major Clusters • Analyze proportional relationships and use them to solve real-world and mathematical problems. (7.RP.1–3 )
The Number System 7.NS Major Clusters • Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. (7.NS.1–3 )
Expressions and Equations 7.EE Major Clusters • Use properties of operations to generate equivalent expressions. (7.EE.1–2 ) • Solve real-life and mathematical problems using numerical and algebraic expressions and equations. (7.EE.3–4 )
Geometry 7.G Additional/Supporting Clusters • Draw, construct, and describe geometrical gures and describe the relationships between them. (7.G.1–3) • Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. (7.G.4–6)
Statistics and Probability 7.SP Additional/Supporting Clusters • Use random sampling to draw inferences about a population.1 (7.SP.1–2) • Draw informal comparative inferences about two populations.2 (7.SP.3–4) • Investigate chance processes and develop, use, and evaluate probability models. (7.SP.5–8)
8th Grade Units
The Number System 8.NS Additional/Supporting Clusters • Know that there are numbers that are not rational, and approximate them by rational numbers.1 (8.NS.1–2)
Expressions and Equations 8.EE Major Clusters • Work with radicals and integer exponents. (8.EE.1–4 ) • Understand the connections between proportional relationships, lines, and linear equations. (8.EE.5–6 ) • Analyze and solve linear equations and pairs of simultaneous linear equations. (8.EE.7–8 )
Functions 8.F Major Clusters • De ne, evaluate, and compare functions. (8.F.1–3 ) Additional/Supporting Clusters • Use functions to model relationships between quantities.2 (8.F.4–5)
Geometry 8.G Major Clusters • Understand congruence and similarity using physical models, transparencies, or geometry software. (8.G.1–5 ) • Understand and apply the Pythagorean Theorem. (8.G.6–8 ) Additional/Supporting Clusters • Solvereal-worldandmathematicalproblemsinvolvingvolumeofcylinders,cones,andspheres.(8.G.9)
Statistics and Probability 8.SP Additional/Supporting Clusters • Investigate patterns of association in bivariate data.3 (8.SP.1–4)