Mathematics / Year 4 / Number and Algebra / Number and place value

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Curriculum content descriptions

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems (ACMNA073)

Elaborations
  • recognising and demonstrating that the place-value pattern is built on the operations of multiplication or division of tens
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Associativity

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20 direct matches to ACMNA073

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reSolve: Authentic Problems: 10000 Centicubes

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This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...

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reSolve: Place Value: Cartoon Counting

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This lesson engages students in investigating place value by considering a counting system using base 8. Students are challenged to imagine how place value would work in a cartoon world where everyone only had eight fingers. They engage in activities with counting blocks, representing numbers in base 10 and in base 8 and ...

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reSolve: Algebra: Chess - The King

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This lesson aims to build students' algebraic reasoning and understanding of number as they explore computation on the number chart. Students explore the moves of a king chess piece and how the value of the numbers change as he moves. This builds into an algebraic exploration of equivalent values that can be found on the ...

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Video

BTN: What is an abacus?

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An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

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Interactive

Wishball challenge: whole numbers

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Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

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reSolve: Multiplication: Trays of Arrays

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This sequence of 7 tasks uses the array to explore the distributive and associative properties of multiplication. Students use different strategies to calculate the number of items in arrays, and use mathematical reasoning to explain which strategies are the most useful. Students learn to use the distributive property to ...

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Interactive

Goat Busters (Area model for multiplication) - ABC Education

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As a team use the area model and mathematical thinking to find the answer to tricky calculations. Mathematical ideas and strategies this game supports: area model for multiplication; 1 x 2-digit multiplication; 2 x 2-digit multiplication; identifying factors; partial products; distributive property; place value partitioning ...

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Goat Grommets (Mental computation and dependent probability) - ABC Education

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As a team, you'll need to use your understanding of probability to decide which waves your surfer should catch — or when to play it safe and head in. Use mental addition to calculate your score. Enjoy the surf but watch out for the shark pig! Mathematical ideas and strategies this game supports: the probability of an occurrence ...

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Goat Squad (Partitioning numbers and dependent probability) - ABC Education

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The Rocksteady Reds cheer squad is competing against the Blue Boing Boings to be the first to build a triangle and win the cheerleading competition. Will you use your strategies for addition and partitioning numbers to help your team win? Mathematical ideas and strategies this game supports: addition and partitioning numbers; ...

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Developing flowcharts: Halving strategy

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In this lesson, students will create a flowchart outlining the sequence of steps required when using the halving strategy for division. The process of creating the flowchart consolidates the sequential steps required when solving problems and can be found in other learning areas, such as Design and Technologies and Digital ...

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Crocodile and Shark (4–6) - Calculate

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

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Race to... - Calculate

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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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ROWCO - Calculate

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ROWCO is a card game that will help students practice their addition facts while playing an engaging strategy game.

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Subtraction Year 3 & 4 - Calculate

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This activity is designed to encourage students to develop and explain different strategies to solve subtraction problems.

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Subtraction Strategies - Calculate

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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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Video

Additive strategies: Video and teaching guide

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This video explores the use of computation strategies, rounding and estimation in real-world, additive situations. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. A range of strategies such as compensation and partitioning are demonstrated. Estimation and rounding are highlighted ...

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Cuisenaire Rods Lesson Plan - Calculate

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

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Pocket money: Mathematical modelling

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In this lesson, students use mathematical modelling to solve problems that involve financial decisions. Students are guided to use the 4-step problem solving model to support them to unpack the problem, generate a plan to help solve it, and check their ability to work mathematically. They explore different ways to estimate ...

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

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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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Addition Strategies - Calculate

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

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