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Year 8 Mathematics

Unit 6 – Geometry

Student CentredModule

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Year 8 Mathematics

Contents:

Day 1 – Investigating Congruent Triangles

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

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Year 8 Mathematics

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 LawsSSS, SAS, ASA and AAS Laws for congruent triangles

Video # 3: Finding Congruent TrianglesUsing 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 TrianglesIntroduction to Similar Triangles

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

Complete the Day 2 Worksheet on Similar Triangles

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http://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similarity-example-problems

http://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similar-triangle-basics

http://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/finding-congruent-triangles

http://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/other-triangle-congruence-postulates

http://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/congruent-triangles-and-sss

Year 8 Mathematics

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:

Δ ABC ~ ΔRPQ

∠ A≃∠R ∠B≃∠P ∠C≃∠Q

ABRP

=BCPQ

=ACRQ

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 PolygonFinding 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.

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http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/sum-of-the-exterior-angles-of-convex-polygon

http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/sum-of-interior-angles-of-a-polygon

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 LinesVertical 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 TransversalParallel Line Theorem – Corresponding AnglesParallel 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 TrianglesComplete Day 8 Worksheet Review Similar TrianglesComplete Day 8 Worksheet Review Angles

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http://www.khanacademy.org/math/geometry/angles/v/angle-game--part-2

http://www.khanacademy.org/math/geometry/angles/v/the-angle-game

http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/angles-formed-by-parallel-lines-and-transversals

http://www.khanacademy.org/math/geometry/triangles/v/triangle-angle-example-1

http://www.khanacademy.org/math/geometry/angles/v/angles-at-the-intersection-of-two-lines

http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/complementary-and-supplementary-angles

Year 8 Mathematics

Day 1 Worksheet

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Year 8 Mathematics

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?

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Year 8 Mathematics

Day 3 Worksheet Problem Solving Involving Similar Triangles

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Year 8 Mathematics

Summary of Angles in a Polygon

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Year 8 Mathematics

Day 4 - Worksheet Investigating Interior & Exterior Angles of Polygons

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Year 8 Mathematics

Day 5 Theorems Summary Sheet (Page 1)

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Year 8 Mathematics

Day 5 Theorems Summary Sheet (Page 2)

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Year 8 Mathematics

Summary of Interior & Exterior Angles of a Quadrilateral

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Year 8 Mathematics

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Year 8 Mathematics

Day 5 - Worksheet Angle Properties I

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Year 8 Mathematics

Summary of Angles formed by Parallel Lines crossed by a Transversal

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Year 8 Mathematics

Day 6 - Worksheet Angle Properties II

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Year 8 Mathematics

Day 7 Worksheet Finding Angles (Page 1)

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Day 7 Worksheet Finding Angles (Page 2)

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Year 8 Mathematics

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

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Year 8 Mathematics

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

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Year 8 Mathematics

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

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Year 8 Mathematics

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

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Year 8 Mathematics

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Year 8 Mathematics

Day 8 & 9 Worksheet Review Angles (Page 1)

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Year 8 Mathematics


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Year 8 Mathematics

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