Purpose: The goal of this Unit is to teach students about Geometry. It includes lessons on the Pythagorean Theorem, an introduction to triangles, how to find the measure of one angle when given two, how to find the hypotenuse of a triangle when given the length of the two legs, angle relationships and lines, transformations (reflection, translation, and rotation), and critical thinking skills and problem solving.
Objectives: At the end of these lessons students should be able to:
• Find the hypotenuse or the leg of a triangle using the Pythagorean Theorem
• Apply the formula to real world word problems
• Classify triangles based on angle measures and side length
• Find the hypotenuse of a triangle using the Pythagorean Theorem
• Find the measure of an angle based on being given the other two angles.
• Identify angles as complementary or supplementary.
• Analyze and explain the relationships of angles formed by intersecting lines, including parallel lines cut by transversal.
• Classify figures in terms of congruence and similarity, and apply these relationships to the solution of problems.
• Students will be able to translate, reflect, rotate, and dilate figures in a coordinate plane.
• Draw the transformed figure and use a protractor to measure angles for rotation.
• Predict the results of transformation on unmarked or coordinate planes.