## How can we represent it?

## Mathematics, Grade 9

MTH1W1 (Grade 9 De-streamed)

## The Numbers We Use: Sets and Subsets

## Concepts

- sets and subsets
- set notation
- review of the real number system

## Teacher Resources

## Representing and Comparing Fractions and Mixed Numbers

## Concepts

- representing fractions and mixed numbers
- comparing fractions and mixed numbers
- positive and negative fractions and mixed numbers
- relating unit fractions to other fractions
- converting between improper fractions and mixed numbers
- simplifying fractions

## Teacher Resources

## Powers and Scientific Notation

## Concepts

- simplifying and evaluating numerical expressions involving powers
- relationship between the sign and size of an exponent and the value of a power
- definition of scientific notation
- switching between standard notation and scientific notation
- applications of scientific notation

## Algebraic Expressions

## Concepts

- evaluating algebraic expressions at given values
- modelling with algebraic expressions
- algebraic expressions in equations
- inequalities on the number line (extension)

## Teacher Resources

## Coding - Part 1

## Concepts

- defining variables
- assigning values
- calculating values
- printing variables and strings
- rounding values
- using comments
- using programs to solve problems

## Teacher Resources

## Other Resources and Links

## Infinity, Limits and Density

## Concepts

- infinite sets and subsets
- patterns and number relationships to explain density, infinity and limits