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A. Ratios and Proportional Relationships 1. Understand ratio concepts and use ratio
reasoning to solve problems 2. Analyze proportional relationships and use them
to solve real-world and mathematical problems
B. The Real Number System 1. Apply understanding of multiplication and
division to divide fractions by fractions 2. Compute fluently with multi-digit numbers and
find common factors and multiples 3. Apply understanding of operations with fractions
to add, subtract, multiply, and divide rational
numbers 4. Know that there are numbers that are not
rational, and approximate them by rational
numbers 5. Work with radicals and integer exponents
C. Quantities 1. Reason quantitatively and use units to solve
problems
Category 2 - Algebra & Functions
A. Seeing Structure in Expressions 1. Apply understanding of arithmetic to algebraic
expressions 2. Solve real-life and mathematical problems using
numerical and algebraic expressions 3. Use properties of operations to generate
equivalent expressions
B. Reasoning with Equations and Inequalities 1. Understand the connections between
proportional relationships, lines, and linear
equations 2. Understand solving equations as a process of
reasoning and explain the reasoning 3. Reason about and solve one-variable equations
and inequalities 4. Solve equations and inequalities in one variable 5. Analyze and solve linear equations and pairs of
simultaneous linear equations 6. Represent and solve equations and inequalities
graphically
C. Functions 1. Interpreting functions 2. Building functions
Category 3 - Geometry
A. Congruence and Similarity 1. Draw, construct, and describe geometrical figures
and describe the relationships between them 2. Experiment with transformations in the plane
B. Right Triangles 1. Understand and apply the Pythagorean theorem
C. Circles 1. Understand and apply theorems about circles
D. Geometric Measurement and Dimension 1. Solve real-life and mathematical problems
involving angle measure, area, surface area, and
volume 2. Explain volume formulas and use them to solve
problems
E. Modeling with Geometry 1. Apply geometric concepts in modeling situations
Category 4 - Statistics & Probability
A. Basic Statistics and Probability 1. Develop understanding of statistical variability 2. Summarize and describe distributions 3. Use random sampling to draw inferences about a
population 4. Investigate chance processes and develop, use,
and evaluate probability models 5. Investigate patterns of association in bivariate
data
B. Interpreting Categorical and Quantitative Data 1. Summarize, represent, and interpret data on a
single count or measurement variable 2. Interpret linear models
C. Making Inferences and Justifying Conclusions 1. Understand and evaluate random processes
underlying statistical experiments
D. Using Probability to Make Decisions 1. Use probability to evaluate outcomes of
decisions