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

Curriculum content descriptions

Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9 (ACMNA074)

Elaborations
  • recognising that number sequences can be extended indefinitely, and determining any patterns in the sequences
General capabilities
  • Numeracy Numeracy
ScOT terms

Sequences (Number patterns)

Interactive

Circus towers: square stacks

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

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Multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations Multi-age 3–6 Year B – Unit 7

This 2-week unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations. Students are provided opportunities to: identify, describe and apply multiplicative patterns; develop, consolidate and apply derived strategies for multiplication ...

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Multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations Multi-age 3–6 Year B – Unit 13

This 2-week unit unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations. Students are provided opportunities to: select and apply strategies to solve problems involving multiplication and division with whole numbers; investigate ...

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Understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world Multi-age 3–6 Year B – Unit 12

This 2-week unit unit develops the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world. Students are provided opportunities to: combine and split common shapes; transform two-dimensional and composite figures by reflecting, translating, and rotating; ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 11

This 2-week unit unit develops the big idea that the number system extends infinitely to very large and very small numbers. Students are provided opportunities to: recognise, represent, order and partition large numbers; apply place value knowledge to recognise, name and order decimals; make connections between benchmark ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 1

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: partition, represent and order larger numbers; apply place value to recognise, regroup and order whole and decimal numbers; explore the link between multiplicative ...

Interactive

Goat Busters (Area model for multiplication) - ABC Education

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 ...

Interactive

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

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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Multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations: Multi-age 3–6 Year A – Unit 13

This multi-age unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations.

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Understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world: Multi-age 3–6 Year A – Unit 12

This 2-week unit introduces the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world.

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reSolve: Multiplication: Trays of Arrays

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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Pass The Count - Calculate

This game allows students to practice their skip counting skills in small groups.

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Pattern & Algebra Year 4 - Calculate

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. By recording ...

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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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Multiplying two-digit numbers using the area model - Calculate

This resources describes some games and activities that can be used to help students to learn strategies to solve multi-digit multiplication problems, including using the area model.

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Work sample Year 4 Mathematics: Number: addition and subtraction

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 4 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 ...

Downloadable

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.

Downloadable

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.

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.

Online

Follow and create algorithms: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Follow and create algorithms. Students create and follow algorithms involving a sequence of steps and decisions to generate number patterns involving addition or multiplication. They analyse the patterns generated and describe and explain them.