Mathematics / Year 6 / Number and Algebra / Number and place value

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

Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123)

Elaborations
  • applying strategies already developed for solving problems involving small numbers to those involving large numbers
  • applying a range of strategies to solve realistic problems and commenting on the efficiency of different strategies
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Division,  Multiplication,  Mental arithmetic,  Subtraction,  Addition,  Written calculations

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Year level 5-6
Resource type
Learning area Mathematics
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.

Teacher resource

Origin Energy for Schools

This is a valuable website containing comprehensive teacher and student cross-curricular teaching and learning resource for years 3 to 8 that focuses on the themes of energy, energy management and the Earth’s renewable energy sources. There are three teaching units on the themes of ‘Energy introduction’, ‘Energy management’ ...

Interactive resource

The divider: whole number remainders

Solve whole number division problems such as 157/6. 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.

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 ...

Teacher resource

Number talks

Use these tasks and resources to provide opportunities for students to explain mental strategies for performing calculations. Present a number of mathematical statements for students to investigate whether they are true or false. As a further challenge include statements about percentages and improper fractions.

Tablet friendly (Interactive resource)

What's the problem: nature: level 2

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.

Interactive Resource

Arithmetic four

This is an interactive game for two students in which they solve arithmetic problems, similar to 'Connect four'. The players can choose to work with whole number and integer addition, subtraction, multiplication and division. The length of time each player will have and the level of difficulty of the problems can also be ...

Interactive resource

What's the problem: sports: level 2

Star as a contestant in a quiz show! Select three worded mathematical problems, about sports, from two categories: 'school sport' or 'world sport'. 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 ...

Interactive resource

What's the problem: planets: level 2

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

The divider: solve your own problem

Create and solve division problems such as 156/6. Use a partitioning tool to help solve 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

MoneySmart: The fun begins: plan, budget, profit!

This is a unit of work integrating aspects of the year 6 mathematics, English, geography, and economics and business curriculums around planning a nature fun park. The unit is intended to take about eight hours. It consists of eight sets of student activities supported by teacher notes, including mapping, holding discussions, ...

Interactive resource

What's the problem: planets: level 3

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: sports: level 3

Star as a contestant in a quiz show! Select three worded mathematical problems, about sports, from two categories: 'school sport' or 'world sport'. 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 ...

Interactive resource

What's the problem: nature: level 3

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 seventh ...

Teacher resource

Origin Energy for Schools – Years 5 - 6

This is a comprehensive teacher and student cross-curricular resource that focuses on the theme of energy management. Some properties of electricity and how it is measured are considered, as are energy management tips. Renewable and non-renewable sources of generating electricity are also explored. The teaching unit ‘Managing ...

Moving Image

Mapping a sea voyage: calculating distance

Scientists involved in the Two Bays Project describe data collection methods for their 20-day expedition around Port Phillip and Western Port bays. Watch this clip to view the route mapped out by the scientists. Use Google Maps to recreate the route and calculate the total distance travelled.

Teacher resource

Maths Rotations

In a mathematics lesson on multiplication and place value, a graduate teacher rotates students through a number of workstations as a means of engaging students and reinforcing core concepts. Prior to commencing the rotation through the workstations, the teacher explicitly revises how to use place value when multiplying ...

Interactive Resource

Red dragonfly challenge - iTunes app

This is an English adaptation of a classic book on Japanese mathematics problem solving. Use this resource on an interactive whiteboard and present the activities for the class to complete or use at home to discuss problem solving strategies. The app itself offers limited interactivity apart from navigating the problems ...

Teacher resource

Literacy and numeracy improvement: a whole-school approach

This teacher resource describes how 74 public schools in metropolitan, regional and rural Western Australia used three major components of the school improvement cycle to achieve significant improvement in the literacy and numeracy learning outcomes of their students. The resource is organised in nine sections: Summary, ...

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

School canteen: restock: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as muffins or bread rolls. Notice that the unit price of the items remains the same regardless of the quantity purchased. Perform basic calculations to work out how many packs you will need. For example, in order to purchase 80 bread rolls (available ...

Interactive resource

School canteen: best buy: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and boxes of sultanas. Notice that the unit prices are different for packs of different sizes. Perform basic calculations to work out how many packs you will need, and which available pack size will be the cheapest. ...

Interactive resource

School canteen: two traders: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and cheese sticks. For each item on the shopping list, check the prices and package sizes of two traders. Perform basic calculations to select the cheaper deal for each item. Compare the total cost of the items from ...

Interactive resource

School canteen: estimate and check: level 2

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and sesame bars. Notice that unit prices vary depending on the multiples in which items are sold. Look at the shopping list and check the prices and package sizes from the price catalogues of two traders. Estimate which ...

Tablet friendly (Interactive resource)

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 ...

Interactive resource

School canteen: estimate and check: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and boxes of sultanas. Notice that unit prices vary depending on the multiples in which items are sold. Look at the shopping list and check the prices and package sizes from the price catalogues of two traders. Estimate ...

Tablet friendly (Interactive resource)

The divider: with or without remainders

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

Interactive resource

School canteen: restock: level 2

Buy supplies online for a school canteen. Purchase given amounts of items such as muffins or bread rolls. Notice that the unit price of the items remains the same regardless of the quantity purchased. In this level, perform slightly harder calculations to work out how many packs you will need. For example, in order to purchase ...

Tablet friendly (Interactive resource)

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.