<p>Year 8 Mathematics</p><p>Unit 6 – Geometry</p><p>Student Centred Module</p><p>Contents:</p><p>Day 1 – Investigating Congruent Triangles</p><p>Page 1 of 23 Year 8 Mathematics</p><p>Day 2 – Investigating Similar Triangles</p><p>Day 3 – Problem Solving Involving Similar Triangles</p><p>Day 4 – Investigating Interior & Exterior Angles of Polygons</p><p>Day 5 – Investigating Interior & Exterior Angles of Triangles & Quadrilaterals</p><p>Day 6 – Investigating Angle Properties</p><p>Day 7 – Finding Angles</p><p>Day 8 & 9 - Revisions & Consolidating Work Period</p><p>Day 10 – Unit 6 Test</p><p>Day 1 – Investigating Congruent Triangles</p><p>Watch the following videos on your iPad to investigate congruent triangles and their properties.</p><p>Video # 1: Congruent Triangles and the Side-Side-Side Law (SSS) What it means for triangles to be congruent</p><p>Video # 2: Other Congruent Triangle Laws SSS, SAS, ASA and AAS Laws for congruent triangles</p><p>Video # 3: Finding Congruent Triangles Using the SSS, ASA , SAS and AAS Laws to prove congruence</p><p>Complete the Day 1 Worksheet on Congruent Triangles</p><p>Page 2 of 23 Year 8 Mathematics</p><p>Day 2 – Investigating Similar Triangles</p><p>Watch the following videos on your iPad to investigate similar triangles and their properties.</p><p>Video # 1: Similar Triangles Introduction to Similar Triangles</p><p>Video # 2: Working with Similar Triangle Problems Two example problems involving similarity</p><p>Complete the Day 2 Worksheet on Similar Triangles</p><p>Day 3 – Problem Solving Involving Similar Triangles</p><p>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.</p><p> ie: </p><p> Set up a proportion to solve for your unknown side lengths  Write a concluding statement for the word problem.</p><p>Complete the Day 3 Worksheet on Solving Problems Involving Similar Triangles</p><p>Day 4 - Investigating Interior & Exterior Angles of Polygons</p><p>Watch the following videos on your iPad to investigate the Interior & Exterior Angles of Polygons.</p><p>Video # 1: Sum of the Interior Angles of a Polygon Finding the sum of the angles in a polygon by splitting it into triangles</p><p>Video # 2: Sum of the Exterior Angles of a Polygon</p><p>Read the Summary of Angles in a Polygon. Complete the Day 4 Worksheet on Investigating Interior & Exterior Angles of Polygons.</p><p>Page 3 of 23 Year 8 Mathematics Day 5 – Investigating Interior & Exterior Angles of Triangles & Quadrilaterals</p><p>Watch the following videos on your iPad to investigate properties of angles, the Interior & Exterior Angles of Triangles & Quadrilaterals.</p><p>Video # 1: Complementary & Supplementary Angles</p><p>Video # 2: Angles at the Intersection of Two Lines Vertical Angles or the Opposite Angle Theorem</p><p>Video # 3: Interior & Exterior Angles in a Triangle</p><p>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.</p><p>Day 6 – Investigating Angle Properties</p><p>Watch the following videos on your iPad to investigate the properties of angles formed from two parallel lines crossed by a transversal.</p><p>Video # 1: Angles formed by Parallel Lines and a Transversal Parallel Line Theorem – Corresponding Angles Parallel Line Theorem – Alternate Angles</p><p>Read the Summary of Angles formed by Parallel Lines crossed by a Transversal. Complete the Day 6 Worksheet Angle Properties II.</p><p>Day 7 – Finding Angles</p><p>Watch the following videos on your iPad to investigate finding angles.</p><p>Video # 1: The Angle Game</p><p>Video # 2: The Angle Game (Part II)</p><p>Complete the Day 7 Worksheet Finding Angles</p><p>Day 8 & 9 – Review & Consolidation Period</p><p>Complete Day 8 Worksheet Review Congruent Triangles Complete Day 8 Worksheet Review Similar Triangles Complete Day 8 Worksheet Review Angles Day 1 Worksheet</p><p>Page 4 of 23 Year 8 Mathematics</p><p>Day 2 Worksheet Similar Triangles</p><p>Page 5 of 23 Year 8 Mathematics</p><p>7. The triangles in each pair are similar. 8.a) Which two triangles are similar? Find the unknown side lengths. Why are they similar?</p><p>Day 3 Worksheet Problem Solving Involving Similar Triangles</p><p>Page 6 of 23 Year 8 Mathematics</p><p>Summary of Angles in a Polygon</p><p>Page 7 of 23 Year 8 Mathematics</p><p>Day 4 - Worksheet Investigating Interior & Exterior Angles of Polygons</p><p>Page 8 of 23 Year 8 Mathematics</p><p>Day 5 Theorems Summary Sheet (Page 1)</p><p>Page 9 of 23 Year 8 Mathematics Day 5 Theorems Summary Sheet (Page 2)</p><p>Summary of Interior & Exterior Angles of a Quadrilateral</p><p>Page 10 of 23 Year 8 Mathematics</p><p>Day 5 - Worksheet Angle Properties I</p><p>Page 11 of 23 Year 8 Mathematics</p><p>Summary of Angles formed by Parallel Lines crossed by a Transversal</p><p>Page 12 of 23 Year 8 Mathematics</p><p>Day 6 - Worksheet Angle Properties II</p><p>Page 13 of 23 Year 8 Mathematics</p><p>Day 7 Worksheet Finding Angles (Page 1)</p><p>Page 14 of 23 Year 8 Mathematics</p><p>Day 7 Worksheet Finding Angles (Page 2)</p><p>Page 15 of 23 Year 8 Mathematics</p><p>Day 8 & 9 Worksheet Review Congruent Triangles (Page 1)</p><p>Page 16 of 23 Year 8 Mathematics</p><p>Day 8 & 9 Worksheet Review Congruent Triangles (Page 2)</p><p>Page 17 of 23 Year 8 Mathematics</p><p>Day 8 & 9 Worksheet Review Similar Triangles (Page 1)</p><p>Page 18 of 23 Year 8 Mathematics</p><p>Day 8 & 9 Worksheet Review Similar Triangles (Page 2)</p><p>Page 19 of 23 Year 8 Mathematics</p><p>Day 8 & 9 Worksheet Review Angles (Page 1)</p><p>Page 20 of 23 Year 8 Mathematics</p><p>Day 8 & 9 Worksheet Review Angles (Page 2)</p><p>Page 21 of 23 Year 8 Mathematics</p><p>Day 8 & 9 Worksheet Review Angles (Page 3)</p><p>Page 22 of 23 Year 8 Mathematics</p><p>Page 23 of 23</p>