## How can we describe it?

## Mathematics, Grade 9

MTH1W1 (Grade 9 De-streamed)

## Working with Ordered Pairs

## Concepts

- Cartesian plane and Cartesian coordinates
- coordinates to describe location
- determining if a point satisfies a given linear or non-linear relation
- meaning of ordered pairs in different contexts
- identifying points of intersection

## Student Resources

## Relevant Links

## Slope

## Concepts

- definition of slope
- slope as rate of change

## Student Resources

## Relevant Links

*y = mx + b* FORM FOR THE EQUATION OF A LINE

## Concepts

- identifying slopes and
*y*-intercepts of lines - using slopes and
*y*-intercepts to graph lines - equations of lines using slopes and
*y*-intercepts

## Student Resources

## Relevant Links

## Equations of Lines Using Slope and a Point

## Concepts

- finding the equation of a line using its slope and a point on the line
- horizontal and vertical lines

## Student Resources

## Relevant Links

## Equations of Lines Using Two Points

## Concepts

- finding the equation of a line using two points on the line

## Student Resources

## Relevant Links

## Translations and Reflections of Lines

## Concepts

- translating lines
- reflecting lines

## Relevant Links

## Rotations of Lines

## Concepts

- rotating lines
- parallel and perpendicular lines

## Student Resources

- Rotations of Lines Explorer
- Perpendicular Slope Explorer
- Slopes of Parallel and Perpendicular Lines
- Help with Parallel and Perpendicular Slopes
- Practice: Parallel and Perpendicular Slopes
- Practice: Parallel and Perpendicular Slopes from Points
- Equations of Parallel and Perpendicular Lines
- Practice: Equation of a Perpendicular Line
- Practice: Equation of a Perpendicular Line Using Intercepts
- Check Your Understanding

## Relevant Links

## Equations Versus Inequalities

## Concepts

- graphing linear equations and inequalities from algebraic representations of various forms
- graphing lines using intercepts

## Student Resources

## Relevant Links

## Solving Equations with Variables on Both Sides

## Concepts

- solving equations that have variables on both sides