Algebra for ALL

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Use and interpret formulas to answer questions about quantities and their relationships.

Understand that multiplication and division are performed before addition and subtraction in expressions without parentheses.

Understand that an equation such as y = 3x + 5 is a rule for finding a second number when a first number is given.

Continue number patterns using multiplication and division.

Recognize and apply the relationships between addition and multiplication, between subtraction and division, and the inverse relationship between multiplication and division to solve problems.

Relate problem situations to number sentences involving multiplication and division.

Plot and label whole numbers on a number line up to 100. Estimate positions on the number line.

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Slide 9

Grade 5

Use a variable to represent an unknown number.

Write simple algebraic expressions in one or two variables and evaluate them by substitution.

Use the distributive property in numerical expressions and equations.

Identify and graph ordered pairs of positive numbers.

Find ordered pairs (positive numbers only) that fit a linear equation, graph the ordered pairs, and draw the line they determine.

Understand that the length of a horizontal line segment on a coordinate plane equals the difference between the x-coordinates and that the length of a vertical line segment on a coordinate plane equals the difference between the y-coordinates.

Use information taken from a graph or equation to answer questions about a problem situation.

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Slide 10

Grade 6

Write and solve one-step linear equations and inequalities in one variable and check the answers.

Write and use formulas with up to three variables to solve problems.

Interpret and evaluate mathematical expressions that use grouping symbols such as parentheses.

Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.

Use variables in expressions describing geometric quantities.

Apply the correct order of operations and the properties of real numbers (e.g., identity, inverse, commutative, associative, and distributive properties) to evaluate numerical expressions. Justify each step in the process.

Identify and graph ordered pairs in the four quadrants of the coordinate plane.

Solve problems involving linear functions with integer values. Write the equation and graph the resulting ordered pairs of integers on a grid.

Investigate how a change in one variable relates to a change in a second variable.

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Slide 11

Grade 7

Use variables and appropriate operations to write an expression, a formula, an equation, or an inequality that represents a verbal description.