Year 8 Mathematics
Unit 6 – Geometry
Student Centred Module
Contents:
Day 1 – Investigating Congruent Triangles
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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
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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.
ie:
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.
Page 3 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
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Day 2 Worksheet Similar Triangles
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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
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Summary of Angles in a Polygon
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Day 4 - Worksheet Investigating Interior & Exterior Angles of Polygons
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Day 5 Theorems Summary Sheet (Page 1)
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Summary of Interior & Exterior Angles of a Quadrilateral
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Day 5 - Worksheet Angle Properties I
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Summary of Angles formed by Parallel Lines crossed by a Transversal
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Day 6 - Worksheet Angle Properties II
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Day 7 Worksheet Finding Angles (Page 1)
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Day 7 Worksheet Finding Angles (Page 2)
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Day 8 & 9 Worksheet Review Congruent Triangles (Page 1)
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Day 8 & 9 Worksheet Review Congruent Triangles (Page 2)
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Day 8 & 9 Worksheet Review Similar Triangles (Page 1)
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Day 8 & 9 Worksheet Review Similar Triangles (Page 2)
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Day 8 & 9 Worksheet Review Angles (Page 1)
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Day 8 & 9 Worksheet Review Angles (Page 2)
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Day 8 & 9 Worksheet Review Angles (Page 3)
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