Common Core Standards - Grades 5 - 8

Explain a proof of the Pythagorean Theorem and its converse.

Solve real-world & math problems by graphing points in all 4 quadrants of the coordinate plane.

Perform operations with multi-digit whole numbers and with decimals to hundredths.

Graph points in the coordinate plane to solve real-world and mathematical problems*

Solve real-world and mathematical problems involving the four operations with rational numbers.

Represent and analyze quantitative relationships between dependent and independent variables

Solve real-life & mathematical problems using numerical and algebraic expressions and equations

Use data from random sample to draw inferences about a population w/ an unknown characteristic

Use parentheses/brackets/braces in numerical expressions& evaluate expressions with the symbols

Use equivalent fractions as a strategy to add and subtract fractions

Analyze proportional relationships and use them to solve real-world and mathematical problems

Work with radical and integer exponents

Find volume of a right rectangular prism with fractional edge lengths by packing with unitcubes

Perform operations with numbers expressed in scientific notation

Recognize that inequalities of the form x > c or x < c have infinitely many solutions

Able to compare two fractions with different numerators and different denominators

Extend understanding of fraction equivalence and ordering

Understand a fraction as a number on the number line

Understand ordering and absolute value of rational numbers.

Understand concepts of volume and relate volume to multiplication and to addition

Analyze and solve linear equations and pairs of simultaneous linear equations

Understand the connections between proportional relationships, lines, and linear equations

Define, evaluate, and compare functions

Graph proportional relationships, interpreting the unit rate as the slope of the graph

Reason about and solve one-variable equations and inequalities

Understand the place value system

Use properties of operations to generate equivalent expressions

Use Proportional relationships to solve multistep ratio & % problems. eg. tax, %error, tips

Write and evaluate numerical expressions involving whole-number exponents.

Apply and extend previous understandings of arithmetic to algebraic expressions