• Mathematics
• Year 6

Number

approx. 28 hrs

6 topics

77 concepts

Develop confidence and competence in the knowledge and application of Year 6 Number. Concepts include using alternative strategies to add, subtract, multiply and divide whole numbers and decimals and determining connections between fractions, decimals and percentages.

Available in
ACT NSW NT QLD SA TAS VIC WA

Overview

This learning program covers the essential components of Year 6 Number while addressing Number and Algebra outcomes for the Australian Curriculum. Year 6 students learn about the relationships between fractions, decimals and percentages; apply the order of operations correctly when adding, subtracting, multiplying and dividing decimals and whole numbers. They identify appropriate methods to perform calculations when posing and solving problems with and without technology.

Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 77 concepts.

• Negative and Special Numbers 7 concepts

1. Explore square numbers using arrays, grid paper or digital technologies

2. Interpret integers in everyday contexts

3. Use the term integers to describe positive and negative whole numbers and zero

4. Recognise the location of negative whole numbers in relation to zero and place them on a number line

5. Recognise that negative whole numbers can result from subtraction

6. Determine whether a number is prime, composite or neither

7. Determine factors for a given whole number

• Solving Addition and Subtraction Problems 6 concepts

1. Explore triangular numbers using arrays, grid paper or digital technologies

2. Select and apply appropriate mental and written strategies, with and without the use of digital technologies, to solve unfamiliar subtraction problems

3. Record the strategy used to solve subtraction word problems

4. Record the strategy used to solve addition word problems

5. Solve addition word problems involving whole numbers of any size, including problems that require more than one operation

6. Select and apply appropriate mental and written strategies, with and without the use of digital technologies, to solve unfamiliar addition problems

• Multiplication and Division Strategies 14 concepts

1. Solve word problems involving multiplication

2. Solve word problems involving division

3. Solve word problems involving division, using strategies to record division methods.

4. Solve word problems involving multiplication, using strategues to record multiplication methods.

5. Recognise symbols used to record speed in kilometres per hour

6. Solve simple problems involving speed

7. Estimate solutions to multiplication problems and check to justify solutions

8. Select and use efficient mental and written strategies, and digital technologies, to multiply whole numbers of up to four digits by one- and two-digit numbers

9. Use mental strategies to multiply numbers by 10, 100, 1000 and their multiples

10. Estimate solutions to division problems and check to justify solutions

11. Select and use efficient mental and written strategies, and digital technologies, to divide whole numbers of up to four digits by one- and two-digit numbers

12. Use mental strategies to divide numbers by 10, 100, 1000 and their multiples

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

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

• Order of Operations 5 concepts

1. Use the term operations to describe collectively the processes of addition, subtraction, multiplication and division

2. Recognise when grouping symbols are not necessary

3. Investigate whether different digital technologies apply the order of operations

4. Investigate and establish the order of operations using real-life contexts

5. Recognise that grouping symbols are used in number sentences to indicate operations that must be performed first

• Fractions, Decimals and Percentages 33 concepts

1. Solve word problems involving the addition and subtraction of fractions where one denominator is the same as, or a multiple of, the other

2. Use knowledge of equivalence to simplify answers when adding and subtraction fractions

3. Use mental strategies to estimate discounts of 10%, 25% and 50%

4. Apply knowledge of equivalent fractions to convert between units of time

5. Write fractions in their simplest form by dividing the numerator and the denominator by a common factor

6. Convert an answer that is an improper fraction to a mixed numeral

7. Represent common percentages as fractions and decimals

8. Recognise that improper fractions may sometimes make calculations involving mixed numerals easier

9. Solve word problems involving a fraction of a collection/ quantity

10. Add and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the other

11. Multiply simple fractions by whole numbers using repeated addition, leading to a rule

12. Recognise that the symbol % means percent

13. Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies

14. Calculate the sale price on an item after a discount of 10%, 25% and 50%

15. Describe situations where the estimation of calculations with decimals may be useful

16. Relate decimals to fractions to aid mental strategies

17. Develop mental strategies for generating equivalent fractions, such as multiplying or dividing the numerator and the denominator by the same number

18. Add and subtract decimals with the same number of decimal places, with or without the use of digital technologies

19. Use a calculator to explore the effect of multiplying and dividing decimals by multiples of 10

20. Interpret a calculator display in the context of the problem

21. Use estimation and rounding to check the reasonableness of answers when adding and subtraction decimals

22. Solve word problems involving the addition and subtraction of decimals, with and without the use of digital technologies, including those involving money

23. Find equivalent fractions by redividing the whole, using diagrams and number lines

24. Add and subtract decimals with a different number of decimal places with or without the use of digital technologies

25. Multiply decimals of up to three decimal places by whole numbers of up to two digits, with and without the use of digital technologies

26. Compare and order simple fractions with related denominators using strategies such as diagrams, the number line or equivalent fractions in ascending order

27. Compare the relative size of fractions drawn on the same diagram

28. Divide decimals by a one-digit whole number where the result is a terminating decimal

29. Solve word problems involving the multiplication and division of decimals, including those involving money

30. Recognise the number patterns formed when decimals are multiplied and divided by 10, 100 and 1000

31. Round a number of up to three decimal places to the nearest whole number

32. Represent equivalent fractions with related denominators using diagrams and number lines

33. Model, compare and represent fractions with denominators of 2, 4 and 8, 3 and 6, and 5, 10 and 100

• Patterns and Relationships 12 concepts

1. Compete a table of values for number patterns involving one operation and describe the pattern in words

2. Recognise that the number plane consists of a horizontal axis (x-axis) and a vertical axis (y-axis), creating four quadrants

3. Create simple geometric patterns using concrete materials

4. Determine a rule to describe the pattern from the table

5. Use the rule to calculate the corresponding value for a larger number

6. Use the rule to calculate the value of the term for a large position number

7. Continue and create number patterns, with and without the use of digital technologies, using whole numbers, fractions and decimals

8. Recognise that the number plane (Cartesian plane) is a visual way of describing location on a grid

9. Determine the rule to describe the pattern by relating the bottom number to the top number in a table

10. Complete a table of values for a geometric pattern and describe the pattern in words

11. Plot and label points, given coordinates, in all four quadrants of the number plane

12. Identify and record the coordinates of given points in all four quadrants of the number plane

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