• Mathematics
• Year 5

# Number

approx. 21 hrs

5 topics

64 concepts

The Year 5 Number program gives students alternative strategies for addition, subtraction, multiplication and division, and working with fractions to enhance their mathematical skills and confidence.

Available in
ACT NSW NT QLD SA TAS VIC WA

### Overview

The Year 5 Number program covers the essential components of Number and Algebra in the Australian curriculum. Students studying Year 5 Number learn a variety of strategies for adding, subtracting, multiplying and dividing. Within the course, they apply knowledge of fractions, explain the characteristics of improper fractions, simple fractions and mixed numerals, and pose and solve problems with and without technology.

### Topics & Concepts We Cover

This learning program is made up of the following 5 topics, broken down into 64 concepts.

• #### Positive Numbers 14 concepts

1. Interpret information from the internet, the media, the environment and other sources that use large numbers

2. Partition numbers of any size in non-standard forms to aid mental calculation

3. Record numbers of any size using expanded notation

4. Use numbers of any size in real-life situations, including in money problems

5. Round numbers to a specified place value

6. Solve problems using knowledge of factors and multiples

7. Recognise that when a given number is divided by one of its factors, the result must be a whole number

8. State the place value of digits in numbers of any size

9. Determine the lowest common multiple of two whole numbers

10. Determine the highest common factor

11. Arrange numbers of any size in ascending and descending order

12. Find multiples for a given whole number

13. Apply an understanding of place value and the role of zero to read and write numbers of any size

14. Determine factors for a given whole number

• #### Addition and Subtraction Strategies 10 concepts

1. Use estimation to check the reasonableness of answers to addition calculations

2. Select and apply efficient mental, written and calculator strategies to solve addition word problems, including problems involving money

3. Use empty number lines to record mental strategies to solve subtraction word problems

4. Interpret the word increase in addition word problems

5. Interpret the word decrease in subtraction word problems

6. Use empty number lines to record mental strategies to solve addition word problems

7. Use estimation to check the reasonableness of answers to subtraction calculations

8. Use the term sum to describe the result of adding two or more numbers

9. Select and apply efficient mental, written and calculator strategies to solve subtraction word problems, including problems involving money

10. Add three or more numbers with different numbers of digits, with and without the use of digital technologies

• #### Multiplication and Division 15 concepts

1. Check answers to mental calculations using digital technologies

2. Use digital technologies to multiply numbers of up to four digits

3. Use the appropriate operation when solving problems in real-life situations

4. Show the connection between division and multiplication, including where there is a remainder

5. Use digital technologies to divide whole numbers by one- and two-digit divisors

6. Apply appropriate mental and written strategies, and digital technologies, to solve multiplication word problems

7. Use mental and written strategies to multiply two- and three-digit numbers by two-digit numbers

8. Solve problems involving division by a one-digit number, including those that result in a remainder

9. Record remainders as fractions and decimals

10. Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers

11. Use mental and written strategies to divide a number with three or more digits by a one-digit divisor where there is no remainder

12. Use the term quotient to describe the result of a division calculation

13. Apply appropriate mental and written strategies, and digital technologies, to solve division word problems

14. Use estimation and rounding to check the reasonableness of answers to calculations

15. Recognise and use different notations to indicate division

• #### Fractions and Decimals 17 concepts

1. Place fractions with denominators of 3, 6 and 12 on a number line between 0 and 1

2. Place fractions with denominators of 5 and 10 on a number line between 0 and 1

3. Solve word problems that involve subtraction of fractions with the same denominator

4. Express mixed numerals as improper fractions and vice versa, through the use of diagrams and number lines

5. Compare the relative value of unit fractions by placing them on a number line between 0 and 1

6. Identify and describe improper fractions as fractions in which the numerator is greater than the denominator

7. Identify and describe proper fractions as fractions in which the numerator is less than the denominator

8. Compare and order decimal numbers of up to three decimal places

9. Subtract a proper fraction from another proper fraction with the same denominator

10. Model and represent strategies, including using diagrams, to add mixed numerals with the same denominator

11. Model and represent strategies, including using diagrams, to add proper fractions with the same denominator, where the result may be a mixed numeral

12. Place fractions with denominators of 2, 4 and 8 on a number line between 0 and 1

13. Solve word problems that involve addition of fractions with the same denominator

14. Use diagrams, and mental and written strategies, to subtract a unit fraction from any whole number, including 1

15. Place decimals of up to three decimal places on a number line between 0 and 1

16. Model and represent a whole number added to a proper fraction

17. State the place value of digits in decimal numbers of up to three decimal places, express and interpret thousandths in decimal notation

• #### Number Patterns and Sentences 8 concepts

1. Identify, continue and create simple number patterns involving addition and subtraction of whole numbers, fractions and decimals, including with materials and digital technologies.

2. Check solutions to number sentences by substituting the solution into the original question

3. Describe patterns using the terms increase and decrease

4. Complete number sentences involving multiplication and division, including those involving simple fractions or decimals

5. Use a number line or other diagram to create patterns involving fractions or decimals

6. Complete number sentences that involve more than one operation by calculating missing numbers

7. Write number sentences to match word problems that require finding a missing number

8. Use equivalent number sentences involving multiplication and division to find unknown quantities

### What you'll get

Learning Content

• A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
• All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

• We match you to a private, expert tutor who is right for your needs and goals
• Our tutors are talented, tested, top ATAR achievers and subject experts
• During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Number

Reporting

• Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
• You and your parents receive a comprehensive feedback report after every session
• Every session is recorded and available for you to watch at any time, allowing you to review what was covered

### Ready to start this program?

Simply pick a time that works for you

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime