These are the notes we took together on Nelson Mathematics chapter 10, "Angles and Triangles". Here are all the photos in one downloadable PDF: 2015-05-13 Chapter 10 Angles and Triangles

I can't recommend Cabri 2 Plus highly enough for the study of this unit. It is a really cool tool for the study of geometry.

Chapter Introduction

Includes learning goals and chapter sections:

  • Construct circles, triangles and quadrilaterals, and describe their properties
  • Investigate, describe and use the relationships between angles of intersecting lines
  • Investigate, describe and use the Pythagorean relationship for right angles
  • Create and solve problems that involve lines, angles and right triangles

Chapter sections:

  • 10.1: Exploring Points on a Circle
  • 10.2: Intersecting Lines, Parallel Lines and Transversals
  • 10.3: Angles in a Triangle
  • 10.4: Exploring Quadrilaterals
  • 10.5: Exploring Right Triangles
  • 10.6: Applying the Pythagorean Theorem
  • 10.7: Solve Problems Using Logical Reasoning

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Mini-Quiz

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Section 10.1: Exploring Points on a Circle

Defines equidistant and perpendicular bisector.

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Section 10.2: Intersecting Lines, Parallel Lines and Transversals

Defines transversal, opposite angles, adjacent angles, straight angle, supplementary angles, corresponding angles, right angle and complementary angles.

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Section 10.3: Angles in a Triangle

Discusses the sum of the angles in a triangle, with examples.

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Solving Problems Using Angle PropertiesIntroduces supplementary angles, corresponding angles, alternate angle theorem, opposite angle theorem, sum of the angles in a triangle theorem, isosceles triangle theorem, exterior angle theorem, sum of the angles in a polygon theorem, as well as complementary angles.

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Section 10.5: Exploring Right Triangles

Defines a right triangle, and starts to introduce the Pythagorean Theorem.

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Implications of the Pythagorean TheoremExamines how the theorem works.

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Pythagorean Theorem and AlgebraThis section is actually badly named. I had originally intended to introduce algebraic equations within the context of the Pythagorean Theorem, but it looked like it might be a bit too complicated.

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Chapter 10 Cahier Success Criteria

We evaluated student cahiers during this chapter. This was what I was looking for.

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