Angles Triangles

This post was recovered from my old teaching blog (2014–2016). Some images and downloadable files were lost in the migration.

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 [file unavailable]

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

Mini-Quiz

Section 10.1: Exploring Points on a Circle

Defines equidistant and perpendicular bisector.

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.

Section 10.3: Angles in a Triangle

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

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.

Section 10.5: Exploring Right Triangles

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

Implications of the Pythagorean TheoremExamines how the theorem works.

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.

Chapter 10 Angles And Triangles 16

Chapter 10 Cahier Success Criteria

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

 

Chapter 10: Angles and..., Education, Grade 8 Math NotesJeremy Barr Facebook0 Twitter LinkedIn0 StumbleUpon Reddit Tumblr Pinterest0 0 Likes