addition

The purpose of this unit of three lessons is to develop an understanding of how the operations of addition and subtraction behave and how they relate to one another.

This is the fourth in a series of algebra units focusing on using symbols and expressions to think mathematically. It complements algebra student e-ako 7.

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.
• Inequality symbols and relationships, in which these symbols are introduced and explored ≠, <, >.

The units that follow this unit are:

• 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 unit of five lessons is to develop understanding of a numeral as a symbol to represent an amount or number, and of the symbols for the operations of addition and subtraction.

These teaching and learning activities, focusing on numerals and expressions, parallel some of the activities in the Place Value unit Knowing Five.

This is the first in a series of units focusing on using symbols and expressions to think mathematically. It complements the content of algebra student e-ako 1 and 2. 

The units that follow are:

• Equality and Equations
• Inequality symbols and relationships
• 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.

This activity is for students to use when working independently of the teacher in class and as homework to practice number properties.

This is an activity based on the picture book 365 Penguins

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

The purpose of this series of lessons is to develop understanding of the relative size of fractions and where these fit with whole numbers on a number line.

This unit supports teaching and learning activities in the Student Fractions e-ako 5 and 5+, 6 and 6+ and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

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

• Fraction Bits and Parts
• Symbols and sets

The units that follow are:

• Addition, subtraction and equivalent fractions
• Multiplying fractions
• Dividing fractions
• Percentages

The purpose of this unit of sequenced lessons is to develop knowledge and understanding of combinations to ten. The purpose is also to develop a recognition of the importance of knowing facts to ten and being able to generalise by seeing and applying these patterns with numbers to 100.

These teaching and learning activities support Student e-ako Place Value 1, pages 4 and 5. This unit of work complements learning activities found in Book 5, Teaching Addition, Subtraction and Place Value.

This is the third of a series of units developing place value concepts. This unit builds on the previous units of work:

• Knowing five
• Using five

The units that follow are:

• Teen numbers (building with tens)
• Building with tens
• Building with tens and hundreds
• Place value with whole numbers and decimals

The purpose of this unit is to build upon the knowledge students have of combining and separating groupings to five and to use this as a building block to knowing combinations within and up to ten.

These teaching and learning activities also support Student e-ako Place Value 1, pages 4-5 and to complement learning activities found in Book 5, Teaching Addition, Subtraction and Place Value.

This is the second in a series of units developing place value concepts. This unit builds on the previous unit of work:

• Knowing five

The units that follow are:

• Making ten
• Teen numbers (building with tens)
• Building with tens
• Building with tens and hundreds
• Place value with whole numbers and decimals

The purpose of this unit of five lessons is to lay the foundation for an understanding of grouping and to make connections between the different grouping arrangements and the symbolic recording associated with these.

These teaching and learning activities around knowing five also support the Student e-ako Place Value 1, pages 2 and 3, and complement learning activities found in Book 5, Teaching Addition, Subtraction and Place Value.

This is the first in a series of units developing place value concepts. The units that follow are:

• Using five
• Making ten
• Teen numbers (building with tens)
• Building with tens
• Building with tens and hundreds
• Place value with whole numbers and decimals

This is an activity based on the picture book One is a snail, ten is a crab: A counting feet book