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Practical numbers: Part 1

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

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Patterns, rules and graphs

In this lesson, students play games and learn about space and location, the Cartesian plane, pattern recognition and reductive reasoning by playing games and thinking. Students create algebraic equations to describe their strategy. Follow this lesson with Graphs: formulas and variables, though both lessons can be taught ...

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Estimating and rounding decimals

In this lesson, students draw on prior knowledge of rounding whole numbers to develop their understanding and fluency when rounding decimals and are encouraged to reason and problem-solve through a variety of contextual activities. Students will also develop an appreciation of the role of estimation in mathematics and science.

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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 ...

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Practical numbers: Part 2

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

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Today’s traffic tale

Students collect simple data from opportunities to observe events and display it in a picture graph.

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Fencing the yard

Students review and calculate perimeters and areas of rectangles.

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Smart shopping

Students compare and evaluate different shopping options.

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Ups and downs

Students position positive and negative whole numbers on a number line.

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Chances are!

Students calculate the sum of probabilities for a chance experiment and compare frequency predictions with actual data.

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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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What are the odds?

Students calculate the probability for single-step events using sample spaces.

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How many in the queue?

Students use visualising and movement activities to develop an understanding of the relationship between variables.

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Lucky dip

Students conduct chance experiments and play chance-related games to generate data, which they represent and interpret.

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Put them together

Students rearrange the parts of an addition situation to show commutativity. They use appropriate thinking strategies to solve simple addition problems and record addition problems with numerals and symbols.

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Angle it

Students describe angles as the amount of turn between two lines and locate angles in the real world.

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Flying high

Students partition four-digit numbers into place-value parts.

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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).

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Tracking triangles

Students identify a variety of three-sided shapes and describe the features of all triangles.

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Hundreds and thousands

Students compare and order three-digit numbers using number lines.