## NUMBER & ALGEBRA CURRICULUM LINKS BY LEVEL - NZ CURRICULUM

## LEVEL ONE:

**Number strategies**

Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions.

**Patterns and relationships**

Create and continue sequential patterns.

## LEVEL TWO:

**Number strategies**

Use simple additive strategies with whole numbers and fractions.

**Number knowledge**

Know the basic addition and subtraction facts.

Know simple fractions in everyday use.

**Equations and expressions**

Communicate and interpret simple additive strategies, using words, diagrams (pictures), and symbols.

**Patterns and relationships**

Find rules for the next member in a sequential pattern.

## LEVEL THREE:

**Number strategies**

Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.

**Number knowledge**

Know basic multiplication and division facts.

Know how many tenths, tens, hundreds, and thousands are in whole numbers.

Know fractions and percentages in everyday use.

**Patterns and relationships**

Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.

## LEVEL FOUR:

**Number strategies and knowledge**

Understand addition and subtraction of fractions, decimals, and integers.

Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.

Know the equivalent decimal and percentage forms for everyday fractions.

**Patterns and relationships**

Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.

**LEVEL FIVE:**

**Number strategies and knowledge**

Understand operations on fractions, decimals, percentages, and integers.

Use rates and ratios.

Know commonly used fraction, decimal, and percentage conversions.

**Patterns and relationships**

Generalise the properties of operations with fractional numbers and integers.

Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.

**LEVEL SIX:**

**Number strategies and knowledge**

Apply direct and inverse relationships with linear proportions.

Extend powers to include integers and fractions.

Apply everyday compounding rates.

Find optimal solutions, using numerical approaches.

**LEVEL SEVEN:**

**Patterns and relationships**

Apply co-ordinate geometry techniques to points and lines.

Use arithmetic and geometric sequences and series.

Choose appropriate networks to find optimal solutions.

**Equations and expressions**

Manipulate rational, exponential, and logarithmic algebraic expressions.

**LEVEL EIGHT:**

**Patterns and relationships**

Use curve fitting, log modelling, and linear programming techniques.

Develop network diagrams to find optimal solutions, including critical paths.

**Calculus**

Identify discontinuities and limits of functions.