Course Content  

Topics Covered

These are the topics we'll study this year. First quarter will focus on geometry topics, then we'll spend most of the year on algebra.  The report card standards that will be covered in each unit are:

• Parallel Lines, Triangles, & Angle Relationships

  • Use facts about supplementary, complementary, vertical, and adjacent angles to solve for an unknown angle.

  • Use informal arguments to establish facts about the angle sum and exterior angle of triangles and about the angles created when parallel lines are cut by a transversal.

• Geometric Transformations

  • Understand and verify experimentally the properties of rotations, reflections, and translations to create congruent figures.

  • Describe the effect dilations, translations, rotations, and reflections have on two-dimensional figures using coordinates.

  • Understand and verify experimentally the properties of a dilation to create similar figures.

• Scale Drawings & Similarity

  • Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

  • Understand congruence and similarity using physical models, transparencies, or geometry software and determine missing side length measures of similar polygons.

• Slope of a Line

  • Use similar triangles to derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

• Proportional Relationships

  • Recognize and represent proportional relationships between quantities and use graphs and tables to solve real-world and mathematical problems.

  • Analyze proportional relationships and use unit rates and unit ratios to solve real-world and mathematical problems.

  • Graph proportional relationships and understand the connections between proportional relationships, lines, and linear equations.

• y = mx+b, linear equations, & linear inequalities

  • Apply properties of operations to solve real-world and mathematical problems using numerical and algebraic expressions, equations and inequalities posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals).

  • Use properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients and generate equivalent expressions.

  • Analyze and solve linear equations in one variable.

• Systems of linear equations

  • Analyze and solve pairs of simultaneous linear equations (system of equations).

• Scatter Plots

  • Investigate patterns of association in bivariate data using scatter plots, two-way tables and displaying frequencies and relative frequencies.

• Volume and Surface Area of 3D Solids

  • Solve real–world and mathematical problems involving area, volume and surface area of two– and three–dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

• Functions

  • Define, evaluate, and compare functions.

  • Use functions to model relationships between quantities and determine the rate of change and initial value.

• Pythagorean Theorem 

  • Understand and apply the Pythagorean Theorem and its converse to determine unknown side lengths in right triangles and the distance between any two point in a coordinate system.

• Irrational Numbers

  • Know that there are numbers that are not rational and approximate them by rational numbers.

  • Plot rational numbers on a number line.

• Exponents, Radicals, & Scientific Notation

  • Work with radicals (square roots and cube roots) and integer exponents to simplify monomials and perform operations with scientific notation.