Year 8 Mathematics

Unit 6 – Geometry

Student Centred Module

Contents:

Day 1 – Investigating Congruent Triangles

of 23 Year 8 Mathematics

Day 2 – Investigating Similar Triangles

Day 3 – Problem Solving Involving Similar Triangles

Day 4 – Investigating Interior & Exterior Angles of Polygons

Day 5 – Investigating Interior & Exterior Angles of Triangles & Quadrilaterals

Day 6 – Investigating Angle Properties

Day 7 – Finding Angles

Day 8 & 9 - Revisions & Consolidating Work Period

Day 10 – Unit 6 Test

Day 1 – Investigating Congruent Triangles

Watch the following videos on your iPad to investigate congruent triangles and their properties.

Video # 1: Congruent Triangles and the Side-Side-Side Law (SSS) What it means for triangles to be congruent

Video # 2: Other Congruent Triangle Laws SSS, SAS, ASA and AAS Laws for congruent triangles

Video # 3: Finding Congruent Triangles Using the SSS, ASA , SAS and AAS Laws to prove congruence

Complete the Day 1 Worksheet on Congruent Triangles

Day 2 – Investigating Similar Triangles

Watch the following videos on your iPad to investigate similar triangles and their properties.

Video # 1: Similar Triangles Introduction to Similar Triangles

Video # 2: Working with Similar Triangle Problems Two example problems involving similarity

Complete the Day 2 Worksheet on Similar Triangles

Day 3 – Problem Solving Involving Similar Triangles

Tips for solving word problems involving similar triangles.  Draw and label your triangles  Determine which angles are congruent and which sides are proportional  Write a similarity statement for your two triangles.

 Set up a proportion to solve for your unknown side lengths  Write a concluding statement for the word problem.

Complete the Day 3 Worksheet on Solving Problems Involving Similar Triangles

Day 4 - Investigating Interior & Exterior Angles of Polygons

Watch the following videos on your iPad to investigate the Interior & Exterior Angles of Polygons.

Video # 1: Sum of the Interior Angles of a Polygon Finding the sum of the angles in a polygon by splitting it into triangles

Video # 2: Sum of the Exterior Angles of a Polygon

Read the Summary of Angles in a Polygon. Complete the Day 4 Worksheet on Investigating Interior & Exterior Angles of Polygons.

of 23 Year 8 Mathematics Day 5 – Investigating Interior & Exterior Angles of Triangles & Quadrilaterals

Watch the following videos on your iPad to investigate properties of angles, the Interior & Exterior Angles of Triangles & Quadrilaterals.

Video # 1: Complementary & Supplementary Angles

Video # 2: Angles at the Intersection of Two Lines Vertical Angles or the Opposite Angle Theorem

Video # 3: Interior & Exterior Angles in a Triangle

Complete the Day 5 Theorems Summary Sheet. Read the Summary of Interior & Exterior Angles of a Quadrilateral. Complete the Day 5 Worksheet Angle Properties I.

Day 6 – Investigating Angle Properties

Watch the following videos on your iPad to investigate the properties of angles formed from two parallel lines crossed by a transversal.

Video # 1: Angles formed by Parallel Lines and a Transversal Parallel Line Theorem – Corresponding Angles Parallel Line Theorem – Alternate Angles

Read the Summary of Angles formed by Parallel Lines crossed by a Transversal. Complete the Day 6 Worksheet Angle Properties II.

Day 7 – Finding Angles

Watch the following videos on your iPad to investigate finding angles.

Video # 1: The Angle Game

Video # 2: The Angle Game (Part II)

Complete the Day 7 Worksheet Finding Angles

Day 8 & 9 – Review & Consolidation Period

Complete Day 8 Worksheet Review Congruent Triangles Complete Day 8 Worksheet Review Similar Triangles Complete Day 8 Worksheet Review Angles Day 1 Worksheet

Day 2 Worksheet Similar Triangles

7. The triangles in each pair are similar. 8.a) Which two triangles are similar? Find the unknown side lengths. Why are they similar?

Day 3 Worksheet Problem Solving Involving Similar Triangles

Summary of Angles in a Polygon

Day 4 - Worksheet Investigating Interior & Exterior Angles of Polygons

Day 5 Theorems Summary Sheet (Page 1)

of 23 Year 8 Mathematics Day 5 Theorems Summary Sheet (Page 2)

Summary of Interior & Exterior Angles of a Quadrilateral

Day 5 - Worksheet Angle Properties I

Summary of Angles formed by Parallel Lines crossed by a Transversal

Day 6 - Worksheet Angle Properties II

Day 7 Worksheet Finding Angles (Page 1)

Day 7 Worksheet Finding Angles (Page 2)

Day 8 & 9 Worksheet Review Congruent Triangles (Page 1)

Day 8 & 9 Worksheet Review Congruent Triangles (Page 2)

Day 8 & 9 Worksheet Review Similar Triangles (Page 1)

Day 8 & 9 Worksheet Review Similar Triangles (Page 2)

Day 8 & 9 Worksheet Review Angles (Page 1)