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Units of Work

Ratios and Rates

The purpose of this series of lessons is to synthesise students’ fraction and decimal place value knowledge to enable them to work with rates and ratios with understanding and competence.

This unit supports teaching and learning activities in the Student Fractions e-ako 13 and 14 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

This is the eighth and final in a series of units developing fractional understanding. This unit builds upon these previous units of work:

Complementary to this unit is the seventh Place Value unit:

Links to additional complementary units of work are given below.

Percentages

The purpose of this series of lessons is to synthesise students’ fraction and decimal place value knowledge to enable them to work with percentages, with understanding and competence.

These sessions make strong use of concrete materials to consolidate students’ understanding, before requiring them to work with number properties. Discussion is an important part of all sessions.

This unit supports teaching and learning activities in the Student Fractions e-ako 12 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

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

Complementary to this unit is the seventh Place Value unit:

Links to additional complementary units of work are included after Session 5.

Dividing fractions

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:

The unit that follows is:

Multiplying fractions

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:

The units that follow are:

Addition, subtraction and equivalent fractions

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:

The units that follow are:

 

 

Ordering proper and improper fractions

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:

The units that follow are:

Symbols and sets

This series of lessons builds upon the students’ experiences of making, naming and recognizing common fractions using different physical representations. Its purpose is to develop understanding of the formal language and symbols associated with simple fractions and their representations.

The purpose of this unit is also to develop students’ understanding of fractions of sets.

This unit supports teaching and learning activities in the Student Fractions e-ako 3 and 4 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

This is the second in a series of units developing fractional understanding.

This unit builds on the previous unit of work:

The units that follow are:

Place value with whole numbers and decimals

The purpose of this unit of sequenced lessons is to build on the students’ understanding of place value with three digit numbers and with one thousand. It supports the students as they generalise their 3 and 4-digit conceptual place value understanding across our numeration system.

This unit supports the teaching and learning activities in the Student e-ako Place Value 5, 6, 7 and 8 and complements lessons found in Book 5, Teaching Addition, Subtraction and Place Value.

This is the seventh and final unit in a series of units developing place value concepts.

This unit builds on the previous units of work:

Building with tens and hundreds

The purpose of this unit of sequenced lessons is to develop knowledge and understanding of place value in three digit numbers and one thousand. It is also to enable students to generalize from known two-digit facts, apply patterns associated with these to three digit numbers to 999, and to introduce 1000.

A number of existing related teaching resources are relatively procedural in their nature. Therefore the purpose of this series of lessons is to deepen students’ conceptual understanding of the structure and patterning within our numeration system.

This unit supports the teaching and learning activities in Student e-ako Place Value 3 and 4 and complements lessons found in Book 5, Teaching Addition, Subtraction and Place Value.

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

The unit that follows is:

Building with tens

The purpose of this unit of sequenced lessons is to develop knowledge and understanding of the place value of two-digit numbers. The purpose is also to be able to generalize from known single digit facts and apply patterns associated with these to two digit numbers to 100.

The teaching and learning activities support Student e-ako Place Value 1, p17-33 and Student e-ako Place Value 2. They also complement Book 5, Teaching Addition, Subtraction and Place Value.

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

The units that follow are:


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