Extended Mathematics 11 Pacing Guide - This pacing guide replaces the previous yearly plan. It has been updated to reflect removed outcomes and provide flexibility for responsive instruction.
G01 Students will be expected to derive proofs that involve the properties of angles and triangles.
G01.01 Generalize, using inductive reasoning, the relationships between pairs of angles formed by transversals and parallel lines, with or without technology.
G01.02 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle.
G01.03 Generalize, using inductive reasoning, a rule for the relationship between the sum of the interior angles and the number of sides (n) in a polygon, with or without technology.
G01.04 Identify and correct errors in a given proof of a property involving angles.
G01.05 Verify, with examples, that if lines are not parallel the angle properties do not apply.
G01.06 Verify, through investigation, the minimum conditions that make a triangle unique.
G02 Students will be expected to solve problems that involve the properties of angles and triangles.
G02.01 Determine the measures of angles in a diagram that involves parallel lines, angles, and triangles and justify the reasoning.
G02.02 Identify and correct errors in a given solution to a problem that involves the measures of angles.
G02.03 Solve a contextual problem that involves angles or triangles.
G02.04 Construct parallel lines, using only a compass and straight edge or a protractor and straight edge, and explain the strategy used.
G02.05 Determine if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal.
Additional Resources and Activities for G01 (proving properties of angles formed by intersecting lines and properties of angles in triangles and other polygons)
Note: G01 has been removed from Extended Mathematics 11 Curriculum.
Additional Resources and Activities for G02 (using proven properties of angles and triangles to solve geometric problems):
Note: Indicators G02.02 (Identify and correct errors), G02.04 (construct parallel lines with compass and straight edge) and G02.05 (determine if lines are parallel) have been removed from Extended Mathematics 11 Curriculum.
Angle Pairs from Math Teacher Mambo - A guided worksheet scaffolds the proof process by getting students to look at several angles and identify and explain their relationship. Completing this activity helps students get ready for two-column triangle proofs.
Lines, Transversals, and Angles Desmos Activity - In this activity, students explore the relationship among angles formed by a transversal and a system of two lines. In particular, they consider what happens when the two lines are parallel vs. when they are not.
Death Star Angles - A worksheet that asks students to use angle facts to find the missing angles. Shared by '@dooranran' on TES.
Polygon Angles - A worksheet for students to record their work as they discover the relationship between the sum of the interior angles and the number of sides in a convex polygon using the angle sum property. Shared by `Maths2Measure` on TES.
Show Me a Triangle Desmos Activity - A quick review of triangle vocabulary.
Parallel Lines, and Pairs of Angles - An interactive site that can be used to review the terminology.
Units 1 - 4 Cumulative Review
Kahoot Review (Units 1 - 4) - 20 Multiple Choice Questions for Linear Relations and Functions, Quadratic Relations and Functions, Inductive and Deductive Reasoning, and Properties of Angles and Triangles.