Middle School Pre-Algebra

Module One: Numerical Expressions

-Represent rational numbers in different but equivalent forms

-Define irrational numbers within the real number system

-Plot rational and irrational numbers on a number line

-Order and compare rational and irrational numbers

-Apply the Laws of Exponents to evaluate expressions

-Apply the Laws of Exponents to generate equivalent expressions

-Apply the order of operations with rational numbers

-Express numbers in scientific notation

-Perform operations with numbers in scientific notation

-Solve problems with numbers in scientific notation

Module Two: Algebraic Equations and Inequalities

-Apply the Laws of Exponents to generate equivalent expressions

-Multiply two linear expressions with rational coefficients

-Rewrite expressions using the distributive property

-Write and solve two-step equations in one variable

-Solve multi-step linear equations in one variable

-Solve equations using square and cube roots

-Solve two-step linear inequalities in one variable

-Graph solutions to linear inequalities in one variable

Module Three: Angles and Triangles

-Apply the Pythagorean Theorem to right triangles

-Apply the Pythagorean Theorem to calculate distance

-Use the Triangle Inequality Theorem to solve problems

-Solve problems involving the relationships between special angles

-Find the sum of interior angles of regular polygons

-Decompose regular polygons into triangles

Module Four: Linear Equations

-Compare linear and proportional relationships

-Determine slope of a linear relationship

-Write an equation of a linear relationship

-Graph a two-variable linear equation

-Determine whether ordered pairs satisfy a linear system

-Determine the number of solutions to a linear system

-Solve systems of linear equations by graphing

Module Five: Statistics and Probability

-Determine whether a function is a linear function

-Identify key features of a function

-Construct scatter plots or line graphs as appropriate

-Describe patterns of association given a scatter plot

-Sketch a line of fit on a scatter plot

-Determine the sample space for a repeated experiment

-Calculate theoretical probability for a repeated experiment

-Solve problems involving probabilities for experiments

-Construct, display and interpret data in circle graphs

-Choose and create an appropriate graph for data

Module Six: Transformations

-Identify the type of transformation

-Describe the effect of a single transformation

-Apply the effect of a single transformation

-Transform figures using a coordinate plane

-Identify the scale factor that describes a dilation

-Solve problems involving similar triangles