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

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

Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075)

Elaborations
  • using known multiplication facts to calculate related division facts
General capabilities
  • Numeracy Numeracy
ScOT terms

Division,  Multiplication tables

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

MoneySmart: helping out

This is an activity about making choices to raise money for imaginary animals called gumbutangs. Their habitat is being eradicated and something must be done to save them. The user's first choice is between two websites, one a trusted one, the other a scam site. Then they are given choices about how to raise money for the ...

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

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

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.

Teacher resource

Multiplication and division

Use these resources to develop your students' understanding and use of efficient strategies for multiplication and solving problems in authentic situations. Develop strategies for a sound basis of skip counting and other examples of repeated addition. Investigate division by sharing quantities (partition) then by repeated ...

Tablet friendly (Interactive resource)

Divide it up: puppies

Use a dividing tool to make equal shares of biscuits and toys in a pet shop. For example, share 34 biscuits equally between 6 puppies. Predict how many items each puppy will get, or how many packets can be filled. Check your prediction. Decide what to do with any leftovers. Complete a sentence describing the number operations.

Assessment resource

Pobble arrays: find factors: assessment

Test your understanding of arrays by arranging pobbles into equal columns and rows. Look at the given number of pobbles and enter the number of gates and rows. For example, decide how many equal rows of pobbles are needed to fit 24 of them through four gates. The object starts with a practice task, which provides text and ...

Interactive resource

Divide it up: sharing tool

Use a dividing tool to make equal shares of sweets. Complete a sentence describing a number operation. For example, 17 jellybeans shared equally into 6 jars. Predict how many sweets will go into each container and identify how many sweets are left over. This learning object is one in a series of five objects.

Assessment resource

Pobble arrays: make multiples: assessment

Test your understanding of arrays by arranging pobbles into equal columns and rows. For example, start with 19 pobbles. Decide 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. The object starts with a practice task, which provides text and animation ...

Interactive resource

Divide it up: kittens

Use a dividing tool to make equal shares of toys in a pet shop. For example, share 33 toys equally between 7 kittens. Predict how many items each kitten will get, and how many leftovers there will be. Complete a sentence describing the number operations. This learning object is one in a series of five objects.

Tablet friendly (Interactive resource)

Divide it up: grouping tool

Use a dividing tool to make equal shares of stationery such as pens, pencils or crayons. Complete a sentence describing a number operation. For example, pack 24 crayons into packets of 5. Predict how many packets are needed and identify how many items are left over.

Interactive resource

Divide it up: hardware

Use a dividing tool to make equal shares of hardware items such as nails, bolts or screws. For example, pack 32 bolts into packets of 3. Predict how many packets can be filled and how many items will be left over. Check your prediction. Complete a sentence describing the number operations, including the fraction of a packet ...

Teacher resource

Mental computation: basic facts - multiplication and division

This is a teacher resource that is part of a wider series; it develops a structured strategies-based approach to mental computation of single-digit multiplication and related division facts at lower primary level. It provides 22 engaging classroom activities that will stimulate students to use appropriate mental-computation ...

Teacher resource

reSolve: Multiplication - Cartesian Product

This sequence of two lessons introduces the idea of multiplication as a Cartesian product, using the language of 'for each'. Students learn to use a tree diagram to find the number of possible combinations that can be made in an animal mix and match book. They learn how a simpler problem can be used to help solve a larger, ...

Teacher resource

reSolve: Multiplication - The Tiler

This task explores arrays through the context of a tiling a courtyard. Students are given the total cost of tiling a courtyard and use this to calculate the price for individual tiles. They then explore the cost of different tiling designs to determine if one is cheaper than another. Each lesson is outlined in detail including ...

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.

Teacher resource

Using 'Multiplying and dividing with arrays' - Teacher idea

This Teacher idea includes a teacher’s reflection on teaching R11453 'Multiplying and dividing with arrays - unit of work' with her mixed ability class. The unit explores the concepts of multiplication and division, integrating digital and non-digital resources, and offers students a range of visual, written and mental ...

Interactive resource

What's the problem: planets: level 1

Star as a contestant in a quiz show! Select three worded mathematical problems, about planets, from two categories: 'Earth and moon' or 'solar system'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score. This ...

Interactive resource

What's the problem: nature: level 1

Star as a contestant in a quiz show! Select three worded mathematical problems, about nature, from two categories: 'plants' or 'animals'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score. This is the first ...

Assessment resource

Thinking multiplication: 2-digit by 1-digit: assessment

Test your ability to turn a word problem into an equation such as 7 x 13. Solve the equation without a calculator. Use a multiplier tool to show your thinking when solving the equation. Choose which strategy you used to solve the problem. View and print a report of your results. This assessment object is the first in a ...

Assessment resource

Thinking division: no remainders: assessment

Test your ability to turn a word problem into an equation. Solve the equation without a calculator. For example, use a partitioning tool to help solve the equation 102÷6. Choose which strategy you used to solve the problem. View and print a report of your results. This assessment object is the first in a series of two objects ...

Collection

Exploring division and multiplication

This collection of 17 digital curriculum resources contains activities to consolidate and extend students' problem-solving skills in the areas of multiplication and division. The first category, arrays, allows students to visualise problems while consolidating the idea that multiplication involves repeated groups of objects. ...

Collection

Mental calculation strategies - multiplication and division

This collection of 14 digital curriculum resources focuses on assisting students to develop efficient and effective mental calculation strategies for performing multiplication and division. The collection also aims to develop and consolidate students' knowledge of multiplicative number facts. It is organised in four categories: ...

Teacher resource

reSolve: Authentic Problems: 10000 Centicubes

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 ...