Lesson 1: Introduction to Linear Analytic Systems

• Quick recap:

  • Pythagorean Theorem

  • Slopes of parallel and perpendicular lines

  • Slope / y- intercept and standard forms

• Some definitions to know:

  • Cartesian coordinate system

  • Line segments

  • Mid-point, Median, Perpendicular Bisector

• Explanations how to find:

  • The mid-point

  • The equation of a line

  • The equation of a median

  • The equation of a perpendicular bisector

Lesson 2: Length of a Line Segment

• Defining a line segment

• Formula for a line segment

• Calculating the length of a line segment

• Equation of a line

• Equation of a circle with centre (0, 0)

• Word problems with a circle with centre (0, 0)

Lesson 3: Clarifying Figures on a Coordinate Grid

• Review of types of triangles and their properties

• Types of quadrilaterals and their properties

• Steps involved in solving word problems

• Classifying types of quadrilaterals

Lesson 4: Exploring Properties of Geometric Figures

• Understanding the Centroid of a triangle

  • Review of the Mid-point

  • 3 steps to finding the Centroid of a triangle

• Understanding the Circumcentre of a triangle

  • Review of perpendicular bisector

  • 3 steps to finding the Circumcentre of a triangle

Lesson 5: Solving Problems Using Coordinates

• Review area of a triangle

• Solutions explained for problems to solve for:

  • Slope; equation of the line

  • Slope of the altitude from a point

  • Equation of the altitude line from that point

  • Point of intersection for a line and the altitude from that point

  • Length of the altitude

Here are a few sample questions for you to practice. The answers are given at the end.