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Fractions- What fits!

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Planning notes

Level/Framework stage/Group: Level 3

Duration/Date: 4 weeks

Inquiry approach will facilitate a problem-solving focus

Focus Achievement Objectives
NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
NA3-5: Know fractions and percentages in everyday use.
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Fraction Benchmarks

Level Three
Number and Algebra
Units of Work
In this unit students develop important reference points or benchmarks for zero, one half and one. They use these benchmarks to help compare the relative sizes of fractions, through estimating, ordering and placing fractions on a number line.
  • State which of two fractions is larger.
  • Explain why a fraction is close to 0, 1/2 or 1.
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Worm Wipe-out

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. A PDF of the student activity is included.

use linear proportions to solve problems

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Kapa Haka Practice

Level Three
Number and Algebra
Figure It Out activities
This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

find fractions of a number

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Pet Boasting

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

Find fractions of a number

Use a variety of operations to solve problems

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DVD Decisions

Level Three
Number and Algebra
Figure It Out activities
This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

find fractions of money amounts

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Birthday cakes

Level Three
Number and Algebra
Numeracy activities

Find fractions of a set using multiplication and division.

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Fraction Benchmarks

Level Three
Number and Algebra
Units of Work
In this unit students develop important reference points or benchmarks for zero, one half and one. They use these benchmarks to help compare the relative sizes of fractions, through estimating, ordering and placing fractions on a number line.
  • State which of two fractions is larger.
  • Explain why a fraction is close to 0, 1/2 or 1.
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Getting partial

Level Two
Number and Algebra
Units of Work
In this unit we explore fractions of regions as well as fractions of sets. We look for, and develop understanding of, the connection between fractions and division.
  • Find fractions of regions.
  • Find fractions of sets.
  • Identify equivalent fractions.
  • Locate fractions on a number line.
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Equivalent Fractions

Level Four
Number and Algebra
Units of Work
In this unit we are exploring ways to find equivalent fractions. We use the concept of equivalent fractions to convert fractions to the benchmark fractions of halves, quarters, thirds, fifths and tenths. From these benchmark fractions it is easier to convert fractions to decimals and percentages. We...
  • Explore and know equivalent fractions including halves, thirds, quarters, fifths, tenths and hundredths.
  • Use equivalent fractions to convert fractions to decimals and percentages.
  • Use equivalent fractions to order fractions with different denominators.
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Getting Percentible

Level Four
Number and Algebra
Units of Work
This unit explores the connections between percentages, decimals, and fractions. It focuses on strategies for solving problems involving percentages and applies these strategies to real life contexts.
  • Use double number lines, ratio tables, and converting to equivalent fractions to solve percentage problems.
  • Use a calculator to solve problems with percentages.
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Adding and subtracting fractions

Level Three
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties.

Add and subtract fractions with like denominators
Identify fractions that equal one
Identify fractions bigger than one

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Legs in the barn

Level Three
Number and Algebra
Problem solving activities
This problem solving activity has a number focus.
  • Find fractions of whole numbers.
  • Devise and use problem-solving strategies (draw a picture, guess and check).
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Addition, subtraction and equivalent fractions

Level Three
Number and Algebra
Units of Work
The purpose of this series of lessons is to develop understanding of equivalent fractions and the operations of addition and subtraction with fractions.
  • Add and subtract fractions with like denominators.
  • Explore and record equivalent fractions for simple fractions in everyday use.
  • Recognise that equivalent fractions occupy the same place on the number line.
  • Recognise and apply the multiplicative relationship between simple equivalent fractions.
  • Understa...
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Equivalent fractions with sets

Level Three
Number and Algebra
Units of Work
This unit introduces students to equivalent fractions. Unlike whole numbers that occupy a unique position on the number line, there is an infinite set of fractions that represent the same value. Fraction that are of equal value are said to be equivalent.
  • Put fractions on a number line in their correct position in relation to zero and one.
  • Show that equivalent fractions occupy the same place on a number line.
  • Rename fractions as many equivalent fractions.
  • Know how to find equivalent fractions of a set.
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Equivalent fractions in simple ratios

Level Three
Number and Algebra
The purpose of this activity is to support students in recognising when part-whole fractions in two or more ratios are equivalent. In this context, equivalence means the same relationship of two measures, such as the relationship of blueberry to apple juice in a mixture.
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Equivalent Fractions, Decimals, and Percentages

Level Four
Level Five
Number and Algebra
Numeracy activities

Find equivalent fractions and order fractions.

Know benchmarks for converting between common fractions, decimals and percentages.

Know benchmarks for converting between fractions, decimals and percentages.

The files will download as a zip archive. Double-click on the archive file to extract the attachments on your computer.