Expressions and Equations

Lesson MS 3.1 - Write and evaluate numerical and algebraic expressions using rational numbers.

I can write and evaluate numerical expressions with whole number exponents and parentheses.

I can write and evaluate algebraic expressions with whole number exponents and parentheses.

Lesson MS 3.2 - Add and subtract algebraic expressions.

I can add and subtract linear expressions with rational coefficients.

Lesson MS 3.3 - Find the greatest common factor and least common multiple for two whole numbers.

I can find the greatest common factor of two numbers less than or equal to 100.

I can find the least common multiple of two whole numbers less than or equal to 12.

Lesson MS 3.4 - Use the distributive property to factor and expand algebraic expressions.

I can use the distributive property to expand linear expressions with rational coefficients.

I can apply the distributive property to factor linear expressions with integer coefficients.

Lesson MS 3.5 - Identify and generate equivalent expressions by applying the properties of operations.

I can generate equivalent expressions.

I can rewrite expressions to show how quantities are related in a problem solving context.

Lesson MS 3.6 - Evaluate multi-step expressions to solve mathematical problems.

I can evaluate and solve multi-step mathematical problems with any rational numbers.

Lesson MS 3.7 - Write one-variable equations and inequalities for mathematical and real-world problems and determine solutions through substitution and solving.

I can identify and use variables when writing one-variable equations and inequalities.

I can graph solutions to one-variable inequalities on a number line.

Lesson MS 3.8 - Represent and solve equations in real-world and mathematical problems.

I can solve and produce examples of multi-step linear equations in one variable with rational coefficients and with variables appearing on both sides of the equal sign (includes situations with one solution, infinitely many solutions, or no solutions) in real-world contexts.

I can fluently (effectively, accurately, and flexibly) solve equations in the form of px + q = r and p(x + q) = r (where p, q, and r are rational numbers).

Lesson MS 3.9 - Represent and solve inequalities in real-world and mathematical problems.

I can represent and solve inequalities in the form px + q > r and px + q < r (where p, q, and r are rational numbers) in problem situations.

I can solve multi-step linear inequalities in one variable with rational coefficients and with the variable appearing on one side of the inequality sign in real world contexts.

Lesson MS 3.10 - Represent and analyze quantitative relationships between dependent and independent variables.

I can use graphs, tables, or context to analyze the relationship between dependent and independent variables and relate them to a linear equation.

Lesson MS 3.11 - Understand the connections between proportional relationships, lines, and linear equations.

I can compare two different proportional relationships represented in different ways.

I can identify the relationship between proportional and nonproportional linear relationships as a result of a vertical translation.

I can determine the slope and y-intercept of a line.

I can generate the equation y = mx or y = mx + b of a line represented in a variety of ways.

Lesson MS 3.12 - Solve equations involving square and cube roots.

I can solve equations of the form x^2 = p and x^3 = p by calculating the square root or cube root of a whole number perfect square or cube in a formula and in real-world context.