Mathematics / Year 4 / Number and Algebra / Patterns and algebra

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Curriculum content descriptions

Explore and describe number patterns resulting from performing multiplication (ACMNA081)

Elaborations
  • identifying examples of number patterns in everyday life
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Multiplication,  Number patterns

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Year level 3-4
Resource type
Learning area Mathematics
Interactive Resource

Sites2See: Patterns and Algebra

Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.

Interactive resource

Bridge builder: triangles 1

Build bridges by adding triangular sections. Each section is made up of three beams. Make bridges in order of increasing widths (increasing by one section each time). Examine a table and graph of the total number of beams used in bridges of different sizes. Predict the number of beams needed to build a wider span. Describe ...

Interactive resource

Bridge builder: triangles 2

Build bridges by adding triangular sections (each made up of three beams). Make bridges in order of increasing widths (increasing by at least one section each time). Examine a table and graph of the total number of beams used in bridges of different sizes. Predict the number of beams needed to build a wider span. Describe ...

Interactive resource

Bridge builder: quadrilaterals

Build bridges by adding quadrilateral sections (each made up of four beams). Examine a table and graph of the total number of beams used in bridges of different sizes. Predict the number of beams needed to build bridges with wider spans. Describe the number pattern. This learning object is the third in a series of five ...

Interactive resource

Circus towers: rectangular prisms

Work out how many acrobats are needed to form towers in the shape of rectangular prisms. Start by building a prism with twelve acrobats: six acrobats in the base layer and six 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 ...

Interactive resource

The multiplier: generate easy multiplications

Solve multiplications such as 9x88. Use a partitioning tool to help solve randomly generated multiplications. Learn strategies to do complex arithmetic in your head. Split a multiplication into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in ...

Interactive resource

Pobble arrays: make multiples

Help creatures to line up and walk through gates. Make equal rows and columns. For example, start with 17 pobbles. Predict whether the number can be divided into an equal number of rows. If not, add or subtract pobbles to make a number that will work. Check your prediction. This learning object is one in a series of three objects.

Interactive resource

Arrays: factor families

Make equal rows and columns to explore how numbers can be broken up into factors. For example, the number 24 can be expressed as 12x2 or 2x12, and therefore, it can be divided equally using its factors 12 and 2. Identify a missing factor to complete a factor family. Solve four expressions: two multiplication and two division ...

Interactive resource

Exploring number patterns

Find an addition or subtraction pattern relating to four numbers on a grid. Predict the next three numbers in the pattern. For example, predict the next three numbers in the following sequence: 60, 53, 46, 39...

Tablet friendly (Interactive resource)

Musical number patterns: odds and evens

Make some music by building up rhythms for chimes. Complete a counting rule that matches a pattern on a number line. Select the start number or select a number to count by. For example, start at 1 on a number line; then choose which number to count by (4, 5 or 6) to alternate between odd and even numbers. Add a second number ...

Interactive resource

Arrays: explore factors

Explore how numbers can be broken up with factors. For example, the number 9 can be expressed as 9x1 or 3x3. Predict the factors of a number in the range 1 to 50. Make an array of equal rows and columns with the number to check its factors. Choose a statement to describe how many factors the number has. This learning object ...

Interactive resource

The divider: without remainders

Solve whole number division problems such as 156/6. Use a partitioning tool to help solve randomly generated division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.

Interactive resource

Pobble arrays: find a factor

Help creatures to line up and walk through gates in equal rows and columns. Look at the given numbers of pobbles and gates, and enter the number of rows. For example, predict how many equal rows of pobbles are needed to fit 12 of them through four gates. Check your prediction. This learning object is one in a series of ...

Interactive resource

Hopper: whole numbers

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 255+(10 x 4) = 295. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...

Interactive resource

Pobble arrays: find two factors

Help creatures to line up and walk through gates in equal rows and columns. Look at the given number of pobbles, and enter the number of gates and rows. For example, predict how many equal rows of pobbles are needed to fit 12 of them through four gates. This learning object is one in a series of three objects.

Interactive resource

The multiplier: make your own easy multiplications

Solve multiplications such as 76x9. Use a partitioning tool to help solve your own multiplications. Learn strategies to do complex arithmetic in your head. Split a multiplication into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in a series of ...

Interactive resource

The multiplier: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving complex multiplications in your head such as 22x38. Work through sample questions and instructions explaining how to use partitioning techniques. Solve multiplications by breaking them up into parts that are easy to work with, use ...

Interactive Resource

Pattern shapes, by the Math Learning Centre - iTunes app

Use this open exploration tool to explore patterns in geometry, fractions, area and perimeter by creating your own shapes or filling in shapes. Use the text tool to annotate your representations. Great for work on fractions, symmetry and area. Free when reviewed on 12/5/2015.

Interactive Resource

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Interactive resource

Swamp survival: hundredths patterns

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, skip-counting by tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a skip-counting pattern. Put the decimals ...