High School Math Guide

Secondary II & II H Unit Guide - Semester LEARNING INTENTIONS AND SUCCESS CRITERIA ●

Lesson 5.1: How Do You Know That? - Develop Understanding ○ LI: I am developing my understanding of angles in triangles so that I can prove the Triangle Sum Theorem. ○ SC: I can use “ways of knowing” to justify statements about triangles. ● Lesson 5.2: Do You See What I See? - Develop Understanding ○ LI: I am developing my understanding proofs so that I can develop strategies for analyzing diagrams leading to making conjectures and generating proof ideas. ○ SC: I can write a paragraph to prove a conjecture that comes from analyzing a diagram. ● Lesson 5.3: Can You Say it With Symbols? - Solidify Understanding ○ LI: I am solidifying my understanding of proofs so that I can use a two-column proof to prove various theorems. ○ SC: I can prove that two triangles are congruent using symbols and mathematical reasoning in a two-column proof. ● Lesson 5.4: It’s All in Your Head - Solidify Understanding ○ LI: I am solidifying my understanding of proofs so that I can use logical statements in a flow diagram. ○ SC: I can use a flow diagram to prove that a quadrilateral is a Rhombus. ● OPTIONAL Lesson 5.5: Parallelism Preserved and Protected - Solidify Understanding ○ LI: I am solidifying my understanding of proofs so that I can verify that parallel postulates are true through proof. ○ SC: I can name the line segments in the pre-image and image that are still parallel after a transformation. ● Lesson 5.6: Claims and Conjectures - Solidify Understanding ○ LI: I am solidifying my understanding of proofs so that I can use a diagram to come up with conjectures. ○ SC: I can generate conjectures about vertical angles, exterior angles, and angles formed by parallel lines cut by transversals based on given information and diagrams. ● Lesson 5.7: Justification and Proof - Practice Understanding ○ LI: I am practicing my understanding of proofs so that I can write proofs for conjectures. ○ SC: I can analyze the validity of two-column proofs on vertical angles and angles formed by parallel lines cut by transversals. ○ SC: I can prove conjectures about angles formed by parallel lines cut by transversals. ● Lesson 5.8: Parallelogram Conjectures and Proof - Solidify Understanding ○ LI: I am solidifying my understanding of proofs so that I can logically organize statements in a proof. ○ SC: I can use various approaches to writing a proof to prove different theorems about quadrilaterals. ● Lesson 5.9: Guess My Parallelogram - Practice Understanding ○ LI: I am practicing my understanding of proofs so that I can classify parallelograms based on their characteristics. ○ SC: I can use various approaches to a proof to prove different theorems about quadrilaterals. ● Lesson 5.10: Centers of a Triangle - Practice Understanding ○ LI: I am practicing my understanding of proofs so that I can examine the concurrency of medians, angle bisectors, and perpendicular bisectors of the sides of triangles. ○ SC: I can prove different statements about triangle medians, angle bisectors, and perpendicular bisectors of the sides of triangles using various formats.

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