• Mathematics
• Year 3

# Number

approx. 15 hrs

5 topics

56 concepts

Year 3 Number develops competence and confidence in fundamental numeracy skills.

Available in
ACT NSW NT QLD SA TAS VIC WA

### Overview

This learning program covers the essential components of Year 3 Number as described in the Australian curriculum. In this program, students explore number sequences, identify connections in number patterns and recall multiplication facts. Additional concepts include working with addition, subtraction, multiplIcation and division with up to four digit numbers and recognising how simple fractions combine to make whole numbers.

### Topics & Concepts We Cover

This learning program is made up of the following 5 topics, broken down into 56 concepts.

• #### Whole Numbers to Four Digits 13 concepts

1. Use the term and symbol for is less than ()to show the relationship between two numbers

2. Arrange numbers of up to four digits in ascending and descending order

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

4. Partition numbers of up to four digits in non-standard forms

5. Use the equals sign to record equivalent number sentences involving addition, meaning the same as

6. Identify the number before and after a given two-, three- or four-digit number

7. Use place value to partition numbers of up to four digits, stating the value of each digit

8. Represent numbers of up to four digits using objects, words, numerals and digital displays using place value.

9. Count forward and backwards by tens off the decade to four-digit numbers

10. Count forward by hundreds off the decade to four-digit numbers

11. Count forward and backwards by hundreds on the decade to four-digit numbers

12. Make the largest and smallest number from four given digits

13. Count forward and backwards by tens on the decade to four-digit numbers

• #### Addition and Subtraction to Four Digits 9 concepts

1. Apply known single-digit subtraction facts to subtraction of two-, three- and four-digit numbers

2. Perform simple subtraction with money, including finding change and rounding to the nearest five cents

3. Apply known single-digit addition facts to addition of two-, three- and four-digit numbers

4. Complete subtraction word problems with effective strategies

5. Complete addition word problems with effective strategies

6. Perform simple addition with money, including rounding to the nearest five cents

7. Model and apply the associative property of addition to aid mental computation

8. Calculate equivalent amounts of money using different denominations

9. Add three or more single-digit numbers

• #### Multiplication Facts and Related Division 17 concepts

1. Model and apply the commutative property of multiplication

2. Represent and solve problems involving multiplication using efficient mental and written strategies

3. Recognise and use the symbol for multiplied by (x) and equals (=)

4. Skip count by fives starting from zero

5. Skip count by twos starting from zero

6. Recognise and use the symbol for divided by

7. Use strategies to recall multiplication facts for multiples of ten

8. Use strategies to recall multiplication facts for multiples of three

9. Use appropriate digital technologies to solve simple multiplication problems

10. Skip count by tens starting from zero

11. Pose multiplication problems and apply strategies to solve them

12. Use strategies to recall multiplication facts for multiples of two

13. Link multiplication facts using groups or arrays when dividing

14. Count by threes using skip counting

15. Use strategies to multiply a one-digit number by a multiple of ten

16. Use strategies to recall multiplication facts for multiples of five

17. Represent and solve problems involving simple division using efficient mental and written strategies

• #### Common Fractions 12 concepts

1. Rename 2/2, 3/3, 4/4, 5/5, 8/8 as 1

2. Place eighths on a number line between 0 and 1

3. Count by quarters including with mixed numerals, locate and represent these on a number line

4. Identify and describe mixed numerals as having a whole number part and a fractional part

5. Name fractions up to one whole

6. Understand the fraction relationships between denominator and numerator

7. Model fractions with denominators of 3 of whole objects, shapes and collections using diagrams

8. Recognise and record quarters of shapes, objects and collections (quarter is half of a half - see Year one for halves)

9. Model fractions with denominators of 5 of whole objects, shapes and collections using diagrams

10. Recognise and record eighths of shapes, objects and collections

11. Count by halves including with mixed numerals, locate and represent these on a number line

12. Count by thirds including with mixed numerals, locate and represent these on a number line

• #### Number Patterns 5 concepts

1. Identify and describe conditions for even or odd numbers of up to four digits

2. Recognise the connection between even numbers and the multiplication facts of two

3. Compare and describe the difference between models of even numbers and models of odd numbers, using arrays

4. Create and continue patterns when counting forwards by threes, fours, sixes, sevens, eights and nines from any starting point

5. Identify and describe patterns when counting backwards by threes, fours, sixes, sevens, eights and nines from any starting point

### 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