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Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

Downloadable

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.

Downloadable

Make a measuring jug

Use this diagnostic task to assess a student's understanding of capacity and the calibrated scale on a measuring jug.

Online

Patterns and number facts: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Patterns and number facts. Students recall and demonstrate mastery of multiplication facts to 10 x 10 with related division facts, and extend to working with larger numbers. They use number facts and flexible strategies with computation of number problems.

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Balance

This activity invites students to explore the phenomena of balance and investigate the question, 'Can you find at least three different ways of balancing three identical weights on a balance board?' Students work with a simple balance (e.g., a ruler as the balance board, a toilet-paper-tube fulcrum, and coins as weights), ...

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Factors and Multiples - Calculate

These games and activities require children to identify factors and multiples to help children become more familiar with these terms. This understanding will support children’s ability to solve problems, including knowing how to add fractions with different denominators.

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Even and Odd Orcharding - Calculate

What makes even numbers special? What makes odd numbers… well… odd? Help these farmers plant their fruit trees in rows and patterns, and see what happens when we add, subtract and multiply different combinations of these numbers together! Use this low threshold, high ceiling task to explore the properties of even and odd numbers.

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Race to... - Calculate

This game challenges students to use their knowledge of place value to add and subtract random numbers in order to meet a target value.

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Four in a Row - Calculate

This game played in pairs or small groups challenges students to create equations using numbers rolled on ten-sided dice.

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Addition Strategies - Calculate

Regular practise of addition facts can help children build their confidence in maths.

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Estimation and Rounding - Calculate

These activities focus on developing skills in estimation and rounding. Estimation can help children to make reasonable guesses at solutions and check the accuracy of their calculations.

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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.

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Mastermind - Calculate

This small group game challenges students to use logic and problem solving strategies to name multi-digit numbers.

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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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Space Race Game (Introducing Algorithmic Thinking) - Calculate

Space Race is a simple board game that teachers can use to introduce the concept of algorithmic sequencing to students. The teaching points provided with the game assist teachers to introduce the use of an algorithm (a simple set of mathematical instructions) to describe the trajectory of an object across a grid plane from ...

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Investigating Measurement (Year 3 & 4) - Calculate

The focus of this activity is to find out what students know and understand about length and the metric system.

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How Full Is a Bucket? - Calculate

This team-based game challenges students to use metric units of volume and to make capacity estimates for various containers.

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Subtraction Strategies - Calculate

This game gives students opportunities to practice subtraction skills and to learn subtraction strategies, including the jump strategy, the split (or partition) strategy, compensation and the count-up to strategy (sometimes called the Shopkeeper’s method).

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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.

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Crocodile and Shark (4–6) - Calculate

In this game students practise addition and subtraction of 2-digit numbers, using multiple strategies.