Algebra for ALL

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

Use correct algebraic terminology, such as variable, equation, term, coefficient, inequality, expression, and constant.

Evaluate numerical expressions and simplify algebraic expressions by applying the correct order of operations and the properties of rational numbers (e.g., identity, inverse, commutative, associative, and distributive properties). Justify each step in the process.

Solve an equation or formula with two variables for a particular variable.

Define slope as vertical change per unit of horizontal change and recognize that a straight line has constant slope or rate of change.

Find the slope of a line from its graph.

Draw the graph of a line given the slope and one point on the line, or two points on the line.

Identify functions as linear or nonlinear and examine their characteristics in tables, graphs, and equations.

Identify and describe situation with constant or varying rates of change and know that a constant rate of change describes a linear function.

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Slide 12

Grade 8

Write and solve linear equations and inequalities in one variable, interpret the solution or solutions in their context, and verify the reasonableness of the results.

Solve systems of two linear equations using the substitution method and identify approximate solutions graphically.

Interpret positive integer powers as repeated multiplication and negative integer powers as repeated division or multiplication by the multiplicative inverse.

Use the correct order of operations to find the values of algebraic expressions involving powers.

Identify and graph linear functions and identify lines with positive and negative slope.

Find the slope of a linear function given the equation and write the equation of a line given the slope and any point on the line.

Demonstrate an understanding of rate as a measure of one quantity with respect to another quantity.

Demonstrate an understanding of the relationship among tables, equations, verbal expressions, and graphs of linear functions.

Represent simple quadratic functions using verbal descriptions, tables, graphs, and formulas and translate among these representations.

Graph functions of the form y=nx2 and y=nx3 and describe the similarities and differences in the graphs.

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Slide 13

So… How do we teach it?

Textbook exercises – not fun

Workbook pages – not fun

Worksheets – not fun

Games – FUN – But do they teach algebra topics?

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Slide 14

Let’s try a few …

Kindergarten – “What’s My Rule?” Fishing