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Unit Details

Unit Title

Angle Relationships

Unit Number

2

Course

Integrated Math 7/8

Content Area

Math

Description

Students will classify and determine the measures of angles created when parallel lines that are cut by a transversal and set up and solve equations to find the measure of angles in diagrams and shapes. They will use similar triangles to solve problems that include height and distance.

Timeline

2 Week(s)

Enduring Understandings

Geometric properties can be used to construct geometric figures. Geometric relationships provide a means to make sense of a variety of phenomena.

Essential Questions

How can you classify two angles as complementary or supplementary? How can you describe angles formed by parallel lines and transversals? How can you describe the relationship among the angles of a triangle? How can you find the sum of the interior angle measures and the sum of the exterior angle measure of a polygon? How can you use angles to tell whether triangles are similar?

Additional Unit Resources

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3|Math|1097|Integrated Math 7/8|919|Angle Relationships

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Write and/or solve linear equations and inequalities in one variable. a. Write and/or solve equations of the form x+ p=q and px=q in which p and q are rational numbers. b. Write and solve two-step equations of the form px+q=r and p(x+q)=r, where p, q, and r are rational numbers and interpret the meaning of the solution in the context of the problem. c. Write, solve and/or graph inequalities of the form px+q>r or px+q<r, where p ,q and r are rational numbers.

Solve linear equations and inequalities in one variable. a. Create and identify linear equations with one solution, infinitely many solutions, or no solutions. b. Solve linear equations and inequalities with rational number coefficients, including equations and inequalities whose solutions require expanding expressions using the distributive property and combining like terms.

Explore angle relationships and establish informal arguments. a. Derive the sum of the angles in a triangle b. Explore the relationship between the interior and exterior angles of a triangle. c. Construct and explore the angles created when parallel lines are cut by a transversal. d. Use the properties of similar figures to solve problems.