## Concepts

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

## 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

## 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

## Concepts

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

## Concepts

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

## Concepts

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