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Mathematics / Year 3 / Number and Algebra / Number and place value

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems (ACMNA053)

Elaborations
  • recognising that 10 000 equals 10 thousands, 100 hundreds, 1000 tens and 10 000 ones
  • justifying choices about partitioning and regrouping numbers in terms of their usefulness for particular calculations
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 ACMNA053

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Wishball: 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, such as 7664. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. You can use a 'Wishball' ...

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Interactive

Wishball challenge: hundreds

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Challenge your understanding of place value in whole numbers up to 999. Receive a starting number, such as 328, and work towards turning it into a target number, such as 177, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting ...

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Interactive

Wishball: hundreds

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Test your understanding of place value with three-digit numbers. Start with a three-digit whole number such as 507. A spinner provides a randomly generated digit. Choose its place value and add it to (or subtract it from) your starting number. Work towards a given target number, say 539, using other digits. You can choose ...

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Addition and subtraction problems can be solved using a variety of strategies Multi-age 3–6 Year B – Unit 15

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This 2-week unit unit develops the big idea that addition and subtraction problems can be solved using a variety of strategies. Students are provided opportunities to: partition, rearrange and regroup numbers to at least 1000 to solve additive problems; choose and use efficient strategies to solve addition and subtraction ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 6

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This 2-week unit unit develops the big idea that our number system extends infinitely to very large and very small numbers. Students are provided opportunities to: read, partition, rename, represent and order large numbers; recognise, name, compare, order and represent decimals; identify the relationship between addition ...

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Addition and subtraction problems can be solved using a variety of strategies Multi-age 3–6 Year B – Unit 2

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This 2-week unit unit develops the big idea that addition and subtraction problems can be solved by using a variety of strategies. Students are provided opportunities to: apply place value understanding to solve addition and subtraction problems; identify the connection between addition and subtraction; select and explain ...

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Goat Crashers (Mental calculations with unconditional probability) - ABC Education

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Using your knowledge of different operations, join the Pig Posse to help kick them out before they eat everything. Or join the goats and move on in! Mathematical ideas and strategies this game supports: addition and subtraction with 1–30; multiples of 2, 3, 4, 5, 6, 8 and 10; dividing by 3, 4, 5, 6, 8 and 10.

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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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Interactive

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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Pattern & Algebra Year 3 - Calculate

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The focus of this activity is to discover if students can use numbers to describe a pattern created with objects. We want to encourage students to record what they know about the pattern in a table and then use this information to help predict future terms and identify the rule or function for the pattern. At this stage, ...

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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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Downloadable

Flying high

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

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Salute - Calculate

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This game gives students opportunities to practise addition and subtraction strategies and develop algebraic thinking by finding unknown values in additive equations.

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Crocodile and Shark (F–3) - Calculate

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In this game students practise addition and subtraction of numbers from the face of a die, 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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AERO Ochre Maths Year 3 Unit 2 - Exploring calculation strategies

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This sequence of 15 lessons will teach students various calculation strategies.

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Work sample Year 3 Mathematics: Ways to make 18

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This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 3 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Downloadable

School challenge

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Students represent four-digit numbers to 2,000 using materials. They read, write and compare three-digit and four-digit numbers.

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Hundreds and thousands

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

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Piñata Party Tens (2-digit place value)

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As a team, use your knowledge of tens and ones place values to help the goats release the treats from the piñata and have the GOAT party! Mathematical ideas and strategies this game supports: - Increasing and decreasing the value of 2-digit numbers. - Identifying the value of a digit based on its position in a numeral. - ...

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