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Formulating algebraic expressions

This lesson encompasses students’ introduction to formal algebraic concepts. Students will be introduced to the concept of variables and will explore the construction of algebraic expressions using concrete materials. Students explore a range of authentic contexts and hands-on materials in this lesson to ensure their initial ...

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Fruit fractions: Gardeners of fractions

In this lesson, students use a simulated garden bed to explore tenths. They explore fractions within simulated Asian gardening plots. They draw garden beds, allocate fractions to fruit plants, and combine fractions to understand tenths. Through creativity and discussion, they grasp the concept of fractions as parts of a ...

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How many quads?

In this lesson students revise and extend fluency of recall of the 4× facts. Students develop proficiently in multiplying and dividing by four, understanding the patterns in multiples of four, and applying strategies for mental multiplication with an emphasis on visual and numerical pattern recognition.

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Ice cream puddles

Use this diagnostic task to assess understanding of area and comparing the area of two shapes using a relevant approach.

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Give it your best shot

Students calculate the mean, median and mode for sets of data and select the appropriate measure of centre.

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The animals went in two by two

Students recall the twos number sequence and use skip counting by twos to count a collection.

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First steps in Mathematics: Space – Diagnostic tasks

A collection of diagnostic tasks designed to use with students to assess their understanding of space-related concepts in mathematics.

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Back to the books

In this lesson, students will explore how bookmakers set odds, and how these odds are carefully determined in order to guarantee the bookmaker the best chance of making a profit. Students learn how to convert between odds and probabilities and calculate the expected profit or loss based on odds. The lesson is outlined in ...

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Leaf task

Use this diagnostic task to assess understanding of area and measuring the area of an irregular shape.

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Act it out

Students revise and extend the recall of 10x. They describe and continue patterns created from multiplication, and solve multiplication and division problems.

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7N01A Integers - Ochre Education

This unit of work focuses on integers. Students define, represent integers on number lines and Cartesian planes using a variety of scales on the axes, compare and order, add and subtract integers; evaluate expressions involving combinations of addition and subtraction of integers, including the use of brackets and consideration ...

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8N01A Integers - Ochre Education

This unit of work focuses on integers. Students add and subtract integers; establish multiplication and division of integers and build to raising to positive integer powers, square roots and cube roots; evaluate expressions involving combinations of operations and the use of brackets, fraction bars, and vinculums and consideration ...

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Pattern Blocks - Calculate

This activity uses pattern blocks to explore patterns and the relationship between numbers. Students use the blocks to create and describe other shapes and since the blocks are relational they can be used for other investigations. For example, turn the blocks into units – if the triangle is one what is the value of the hexagon?

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Park Ranger Problem Solving: An ‘Addition & Subtraction’ Rich Task for Years 3–4 - Calculate

The aim of this task is to provide a rich, contextual activity through which students can begin to explore the addition and subtraction of one- and two-digit of numbers in everyday contexts.

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The Array Game - Calculate

The purpose of this game is for students to construct arrays and to describe them in words and numbers.

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Fractions Year 6 - Calculate

This activity challenges students to unpack a rule and see if it is being used correctly. Often students will just learn a rule and blindly use it. This task asks students to stop and think and then make corrections to ensure the rule works in all cases (generalise).

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Cuisenaire Rods Lesson Plan - Calculate

This lessons explores the use of Cuisenaire rods and uses play to introduce them to students.

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Percentages - Calculate

In this unit, let’s look at how percentages are used in everyday life to compare changes in things and measure rates of change.

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Irrational Numbers - Calculate

In this unit, let's investigate irrational numbers! We'll look at some examples of commonly used irrational numbers such as Pi (π), the 'Golden Ratio' and the natural logarithm 'e', and explore where irrational numbers have applications in the real world

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Inquiry Prompt Ribbon Bow - Calculate

This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.