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Grade 8:  The Learning Equation Math

22.01 Exploring Equations

2icon.jpg (3565 bytes)

Variables and Equations

Refresher pp 40-41

Learning Outcomes:

The student will:

Review of the Cartesian Plane

Study the following animated gif to review the parts of the Cartesian Plane.
 
cartdef.gif (12584 bytes)
Cartesian Plane grid for identifying points on a plane using two axes
x-axis horizontal axis on the coordinate plane
y-axis vertical axis on the coordinate plane
origin the common for the x- and y-axis.  It is usually the point (0, 0) on the cartesian plane.
quadrants

quadrant.gif (3607 bytes)

 

Algebra Tile Review

Algebra tiles have a variety of other names: algetiles, math tiles, and virtual tiles.  Algebra tiles can help you visualize equivalent algebraic expressions and/or equations.  Many of the real tiles have a positive and a negative side. The virtual algebra tiles activities will use multi-coloured positive tiles. The reverse (negative) side of each of these tiles is red. It helps to understand that negative tiles have one positive and one negative dimension.

Some algebra kits use black tiles for positive areas and red for the flip (negative) sides. Click the "Black/Red Tiles" button for additional information.

 

 

What are Linear Equations?

 

Solving Two-step First-degree Equations

Watch the examples in the "Introduction", then select "ax + b = c" from the "Algebra Tile Practice" section.

 

4 Methods for Solving Linear Questions

There are a variety of ways to solve linear equations.  Review the methods to solve one-step by selecting the top 4 buttons. Select "ax + b = c" and study the four methods displayed for solving two-step equations.:

 

Review:

FlashCards - choose Addition, Subtraction or Multiplication

Scientific Calculator

 

Enrichment:

ax + b = c

FlashCards - choose Addition & Multiplication

The Cartesian plane was introduced to mathematics by René Decartes (1596-1650).

 

Key Terms:

variable, expression, equation, coefficient, isolate, zero property

Wordsearch 22.01 - 22.04

 

Prerequisite Skills:

Generalizing Patterns:  Grade 8 Lesson 2102

Substitutions and Relations:  Grade 8 Lesson 2101

Linear Equations 2:   Grade 7 Lesson 2202 - solve by adding/subtracting

Linear Equations 2:   Grade 7 Lesson 2203 - solve by multiplying/dividing

 

 

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