• Mathematics
• Year 4

# Number

approx. 15 hrs

5 topics

64 concepts

The Year 4 Number program gives students vital skills in numeracy to build competence and confidence.

Available in
ACT NSW NT QLD SA TAS VIC WA

### Overview

This learning program covers the essential components of Year 4 Number while addressing all Number and Algebra outcomes from the Australian curriculum. Students studying Year 4 Number learn how to use addition, subtraction, multiplication and division of up to five-digit numbers, recognise prime, composite, square and triangular numbers and explore connections in number patterns.

### Topics & Concepts We Cover

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

• #### Numbers to Five Digits 5 concepts

1. Arrange numbers of up to five digits in ascending and descending order

2. Apply an understanding of place value to read and write numbers of up to five digits

3. Partition numbers of up to five digits in non-standard forms

4. Use place value to partition numbers of up to five digits and recognise this as expanded notation

5. Round numbers to the nearest ten, hundred, thousand or ten thousand

• #### Addition and Subtraction to Five Digits 11 concepts

1. Solve simple subtraction problems and apply appropriate strategies to solve them

2. Use estimation to check the reasonableness of solutions to addition problems

3. Solve addition problems involving money using a variety of strategies

4. Calculate change and round to the nearest five cents

5. Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist addition

6. Use a formal written algorithm to record subtraction calculations involving two-, three, four- and five-digit numbers

7. Use estimation to check the reasonableness of solutions to subtraction problems

8. Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist subtraction

9. Solve subtraction problems involving money using a variety of strategies

10. Use a formal written algorithm to record addition calculations involving two-, three-, four- and five-digit numbers

11. Solve simple addition problems using appropriate strategies

• #### Developing Multiplication and Division Skills 19 concepts

1. Use the equals sign to record equivalent number relationships involving multiplication, and to mean is the same as

2. Count by fours and eights using skip counting

3. Count by sixes using skip counting

4. Find multiples for a given whole number

5. Count by sevens using skip counting

6. Relate multiplication facts to their inverse division facts

7. Investigate the nine times tables

8. Model and apply the associative property of multiplication to aid mental computation

9. Use mental and informal written strategies to multiply a two-digit number by a one-digit number

10. Multiply three or more single-digit numbers

11. Recall multiplication facts up to 10 x 10, including zero facts, automatically

12. Determine factors for a given whole number

13. Model multiplication as repeated addition, by forming arrays

14. Use mental strategies to divide a two-digit number by a one-digit number for which answers include a remainder

15. Relate division facts to their inverse multiplication facts

16. Use mental strategies to divide a two-digit number by a one-digit number where there is no remainder

17. Interpret the remainder in the context of a word problem

18. Select and use a variety of mental and informal written strategies to solve division problems

19. Count by threes using skip counting

• #### Developing Fractions and Decimal Skills 15 concepts

1. Interpret zero digit(s) at the end of a decimal

2. Identify and interpret the everyday use of fractions

3. Apply knowledge of decimals to record measurements

4. Partition decimals of up to two decimal places in non-standard forms

5. Place decimals of up to two decimal places on a number line

6. Apply knowledge of hundredths to represent amounts of money in decimal form

7. Use place value to partition decimals of up to two decimal places

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

9. Round a number with one or two decimal places to the nearest whole number

10. Use a calculator to create patterns involving decimal numbers

11. State the place value of digits in decimal number of up to two decimal places

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

13. Use the symbols for dollars (\$) and cents (c) correctly when expressing amounts of money

14. Recognise and apply decimal notation to express whole numbers, tenths and hundredths as decimals

15. Understand the fraction relationships between denominator and numerator

• #### Investigating Number Patterns and Sentences 14 concepts

1. Find a higher term in a number pattern resulting from performing multiplication, given the first few terms

2. Investigate and generalise the result of multiplying pairs of even numbers, pairs of odd number, or one even and one odd number

3. Use the word term when referring to numbers in a number pattern

4. Describe how the next term in a number pattern is calculated

5. Investigate and generalise the result of subtracting pairs of even numbers, pairs of odd number, or one even and one odd number

6. Predict whether the answer to a calculation will be even or odd using the properties of the numbers in the calculation

7. Represent and solve division word problems using number sentences

8. Model and describe odd and even numbers

9. Complete number sentences involving addition and subtraction by calculating the missing number, using inverse operations

10. Investigate and generalise the result of adding pairs of even numbers, pairs of odd number, or one even and one odd number

11. Represent and solve multiplication word problems using number sentences

12. Complete number sentences involving multiplication and division by calculating the missing number, using inverse operations

13. Pose a word problem based on a given number sentence

14. Find the missing number in a number sentence involving operations of addition or subtraction on both sides of the equals sign

### 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