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Listed under:  Mathematics  >  Number (Mathematics)  >  Proportions  >  Denominators

### Left overs

Students investigate the relative position of numbers by modelling fractional numbers between whole numbers. They represent linear models of fractions along number lines and use these models to count and solve simple fraction addition problems.

### Cutting it up

Students represent fractions using linear materials and recognise key equivalent fractions. They share collections equally to solve simple problems (halves, quarters and eighths).

### Number sequence: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Number sequence. Students extend their understanding of the order of numbers locating fractions as numbers along a number line and counting by fractions.

### Fruit fractions: Fruit karate

In this lesson, students use fruit to explore common fractions. They step into the world of fractions by exploring various fruits and slicing them into halves, quarters and eighths. Through materials such as playdough and interactive discussions, they discover the meaning of terms such as numerator and denominator while ...

### More than, less than ½ - Calculate

This game, played with ten-sided dice, in pairs or small groups, provides students with opportunities to make, simplify and compare fractions with different denominators. Students aim to collect fractions that are more than a half and less than a half, recording their rolled fractions on a score card as the game progresses.

### Fraction War - Calculate

This game, played in pairs with a of dominoes, challenges students to create fractions and compare their values. The player with the higher value fraction wins each round and the associated domino. The game is played until one player owns all the dominoes.

### Fruit fractions: Fruit salad crafty creations

Students demonstrate knowledge of fractions through creating their very own simulated ‘fruit salad’. Pose the questions: if you were to create a fruit salad what would it have in there? In what ratios/proportions? Are there any fruits you wouldn’t want in there? Which fruits go/don’t go together? Showcase your understanding ...

### Walking the rope

Students develop an understanding of the proportion and relationships between fractions. They represent fractions using linear models and symbols and form a generalisation about fractions equivalent to one whole.

### Equivalent fractions pointer

This is an interactive resource about fractions. It presents students with a fraction and its equivalent visual representations as both the shaded portion of a shape and as the location on a number line. Students are also presented with two other empty shapes, and are required to divide each blank shape into equal portions ...

### Musical fractions

Break down a song by counting how long the notes are in action! Learn about patterns in rhythms and musical notes, and discover the role of fractions in denoting whole, half and quarter notes and creating distinct sounds.

### reSolve: Lamingtons

This sequence of three lessons explores the mathematical idea that fractions represent division. In the first lesson, students are invited to solve a problem involving fair sharing of different plates of lamingtons. Students explore how the denominator represents how many shares and the numerator represents the number being ...

### Addition and subtraction of fractions

This is a website designed for both teachers and students that addresses addition and subtraction of fractions. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress in the topics.

### TIMES Module 14: Number and Algebra: fractions - teacher guide

This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

### Cassowary fractions

Help a park ranger to arrange fencing in a wildlife sanctuary. Divide common geometric shapes into equal-sized sections for keeping cassowaries. Group the enclosures to form a quarantine zone for sick or injured birds. Then express the divisions of the enclosures as fractions. This learning object is one in a series of ...

### Fraction fiddle: hit the apple

Help an archer to hit an apple with his arrow. Build two fractions to make a total of one whole. Complete the numerators of both fractions (they may have fixed denominators). For example, work out how many quarters and how many eighths can be added together to total one whole. Look at fraction bars and a number line to ...

### Cassowary sanctuary

Help a park ranger to arrange fencing in a wildlife sanctuary. Divide common geometric shapes into equal-sized sections for keeping cassowaries. Group the enclosures to form a quarantine zone for sick and injured birds. Then express divisions of the enclosures as fractions. Work through facts about the life of cassowaries: ...