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# Mathematics / Year 5 / Number and Algebra / Number and place value

Curriculum content descriptions

Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291)

Elaborations
• using calculators to check the reasonableness of answers
General capabilities
• Literacy Literacy
• Numeracy Numeracy
• ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Number operations

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Year level 5-6
Resource type
Learning area Mathematics

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Related topic

### Sites2See – number for primary

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

### 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 ...

### 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 ...

### 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 ...

### Monumental measurement mess ups

Did you know that in Australia we use a metric system for measurement? See if you know the units of measurement for length, mass and volume. Find out what system the United States uses. You guessed it - they don't use the metric system! See how a mix up of these units can cause all kinds of mess ups.

### reSolve: Area and Perimeter

This series of three lessons explores the relationship between area and perimeter using the context of bumper cars at an amusement park. Students design a rectangular floor plan with the largest possible area with a given perimeter. They then explore the perimeter of a bumper car ride that has a set floor area and investigate ...

### Heavy vs big

How would you measure and compare the weight of something? Learn why big things aren't necessarily heavy. All you need is something heavy and a lot of something light and you’ll be able to prove that weight is not the same as size.

### Home energy use

Reducing carbon dioxide emissions and sustainable energy use and are two of the major issues facing the world today. This project explores energy use in homes, and compares individual energy use with the class average and calculate and graph CO2 emissions.

### Maths saves lives

Can maths really help to save lives? In this clip we see some real life applications of mathematics. Some are about helping to save lives others are about how maths can be useful. What do Florence Nightingale and WHO, the World Health Organisation have in common?

### A mean trick

Learn a cool trick using the concept of the mean (or average). Pick any 3 x 3 block of dates on a monthly calendar. The number in the middle square is the mean of the nine numbers that form the 3 x 3 square. If you add all the numbers and divide the total by nine (the number of squares), the answer is the number in the ...

### Introduction to binary

This sequence of lessons focuses on what a binary number is, what a decimal number is, why binary numbers are important in digital systems and how to read and understand a binary number.

### Kaprekar's operation

Did you know that 6,174 is a very mysterious number? In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation. First, choose a four-digit number where the digits are all different. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, ...

### Fun facts about the number seven

Did you know that the digits on opposite faces of dice will always add up to seven? Use dice as fun tools to reinforce fact families of seven, multiples of seven and subtraction skills.

Amaze your friends with your super mind-reading skills. Here’s a brain game you can play by asking a few questions and substituting letters for numbers! Learn to follow a specific sequence of arithmetical steps to always arrive at the same answer.

### Magic 9s

Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

### 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 ...

### 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.

### 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 ...

### 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.

### 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.

### The multiplier: make your own hard multiplications

Solve multiplications such as 84x93. Use a partitioning tool to help solve your own multiplications. Learn strategies to do complex arithmetic in your head. Split a sum 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 five objects.

### 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 ...

### 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 ...

### The multiplier: generate hard multiplications

Solve multiplications such as 67x88. 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 ...

### 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 ...

### Arrays: word problems with products from 35 to 64

Read a number problem and think about how to solve it. For example, when 54 is divided by a number, the answer is 10 with a remainder of 4. Write the problem as a multiplication or division number sentence with a missing number. Think about multiplication or division facts to find the missing number. Test your answer by ...