equivalent

The purpose of this unit of three lessons is to develop understanding of how to recognise and record relationships of (equality and) inequality in mathematical situations.

This is the third in a series of algebra units focusing on using symbols and expressions to think mathematically. It complements the content of algebra student e-ako 6.

This unit follows:

• Numerals and Expressions, in which numerals are explored, and the operations of addition and subtraction are introduced through the recording of number expressions.
• Equality and Equations, in which the concept of an equation as an ‘object that balances’, is introduced.

The units that follow this unit are:

• Number families and relationships
• Multiplication and divisions and their relationship
• The order of operations
• A study of number properties
• Unknowns and variables: Solving one-step equations
• Solving multistep equations.

The purpose of this series of lessons is to develop understanding of the operation of division with fractions.

This unit supports teaching and learning activities in the Student Fractions e-ako 11 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

This is the sixth in a series of units developing fractional understanding. This unit builds on these previous units of work:

• Fraction Bits and Parts
• Symbols and sets
• Ordering proper and improper fractions
• Addition, subtraction and equivalent fractions
• Multiplying fractions

The unit that follows is:

• Percentages

The purpose of this series of lessons is to develop understanding of the multiplication of fractions.

This unit supports teaching and learning activities in the Student Fractions e-ako 10 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages and in Book 8 Teaching Number Sense and Algebraic Thinking.

This is the fifth in a series of units developing fractional understanding. This unit builds on these previous units of work:

• Fraction Bits and Parts
• Symbols and sets
• Ordering proper and improper fractions
• Addition, subtraction and equivalent fractions

The units that follow are:

• Dividing fractions 
• Percentages

The purpose of this series of lessons is to develop understanding of equivalent fractions and the operations of addition and subtraction with fractions.

This unit supports teaching and learning activities in the Student Fractions e-ako 7 and 7+, 8 and 8+, 9 and 9+, and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

This is the fourth in a series of units developing fractional understanding. This unit builds on these previous units of work:

• Fraction Bits and Parts
• Symbols and sets
• Ordering proper and improper fractions

The units that follow are:

• Multiplying fractions
• Dividing fractions
• Percentages

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.