Middle School

1. Apply properties of operations to generate equivalent expressions, including those with rational numbers

2. Write and solve two step equations in real-world context with rational numbers

3. Find the surface area or volume of 3D shapes composed of rectangles and/or triangles

1. Find the surface area of three-dimensional shapes in real-world contexts, including those with fractional sides

2. Solve multi-step mathematical problems involving angle measures requiring multi-step algebraic equations and rational numbers

3. Apply the Pythagorean Theorem to solve problems, including distance problems

1. Use and evaluate square root and cube root symbols to represent solutions to equations using both positive and negative solutions

2. Apply the properties of integer exponents to generate equivalent numerical expressions

3. Apply formulas to find the volumes of cones, cylinders, and spheres to solve real world problems

1. Solve quadratic equations

2. Approximate irrational numbers with or without a calculator and rewrite radicals into equivalent forms.

3. Create exponential equations given a graph, table, or situation. *non-calculator*

1. Find sums of geometric series.

2. Use data from a sample survey to estimate a population mean or proportion; develop an understanding of margin of error through the use of simulation models for random sampling.

3. Apply permutations and combinations to calculate probabilities.