Math 8

By the end of this course, you will:

·       Explore and verify the properties of transformations and describe their effects.

·       Understand that two figures are congruent or similar if one can be obtained from the other by a sequence of rotations, reflections, or translations.

·       Examine the properties of the angles created when parallel lines are cut by a transversal.

·       Solve linear equations with rational coefficients and give examples of linear equations with one, infinitely many, or no solutions.

·       Graph proportional relationships, interpreting the unit rate as the slope, and compare two different proportional relationships represented in different ways.

·       Derive the equations y = mx and y = mx + b.

·       Use similar triangles to explain why the slope is the same between any two points on a line.

·       Solve a system of linear equations algebraically and by finding the point of intersection.

·       Solve real-world and mathematical problems with two linear equations.

·       Understand functions, describe properties of linear and nonlinear functions, and compare properties of functions represented in different ways.

·       Construct and interpret functions given in verbal descriptions, two coordinate values, tables, or a graph

·       Explore properties of exponents, and understand the use of scientific notation.

·       Compare, add, subtract, multiply, and divide numbers expressed in scientific notation.

·       Work with square and cube roots, and use decimal expansion to understand the real number system.

·       Plot and compare irrational numbers, and simplify expressions with irrational numbers.

·       Apply facts about angle relationships in triangles.

·       Use the Pythagorean Theorem to find unknown side lengths and to find the distance between two points in a coordinate system.

·       Learn the formulas for the volume of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems.

·       Interpret and describe data in scatter plots, and informally fit lines to model data in scatter plots.

·       Apply linear equations from scatter plots, and construct and apply two-way tables.