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)

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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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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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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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Pass The Count - Calculate

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

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.

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Cuisenaire Rods Lesson Plan - Calculate

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

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 ...

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.

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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 ...

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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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Multiplication Facts - Calculate

This resources describes some games and activities that can be used to help students learn the multiplication facts (or times tables) up to 10 × 10.

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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.

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MoneySmart: The house of needs and wants

This is a unit of work integrating aspects of the mathematics, English and science curriculums around planning a school breakfast. The unit was written for year 3 and is intended to take about 12 hours. It consists of 11 student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities ...

Interactive

Waste and materials – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

Downloadable

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.

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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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TIMES Module 1: Number and Algebra: counting and place value - teacher guide

This is a 16-page guide for teachers. It is a module introducing the concept of place value.

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Making maths: Rangoli designs

This resource is a web page containing an activity about symmetrical patterns that are used to decorate traditional Indian clothing and architecture. The patterns contain line and/or rotational symmetry. Students can examine the patterns and identify the type of symmetry present in each one. This resource is one of a series ...

Video

MathXplosion, Ep 45: How to make an origami frog

Origami folds have associated geometric patterns or "paper trails" in which we are able to visualise different types of triangles, angles, polygons, lines and symmetry. Use these patterns to turn a two-dimensional flat sheet of paper into a three-dimensional hopping frog!

Video

Fun with fractals

Do you know how to recognise a fractal? Watch this video to find out! What are the examples given of fractals found in nature? Can you think of any others? Why not have a go at doing your own drawing of the Sierpinski Triangle?