AUSTRALIA MATH YEAR 3 – EDmama Australia

A. Numbers and Counting

A.01. Count forward and backward by twos
A.02. Identify even and odd numbers by counting objects
A.03. Determine if a number is even or odd
A.04. Apply arithmetic rules to identify even or odd numbers
A.05. Identify ordinal numbers up to 100th
A.06. Write numbers in words up to thousands
A.07. Write numbers in words up to millions
A.08. Recognise and interpret Roman numerals I, V, X, L, C, D, and M
A.09. Compare numbers up to thousands
A.10. Compare numbers up to millions
A.11. Identify the largest or smallest number in a set
A.12. Order numbers from least to greatest and greatest to least: up to thousands
A.13. Order numbers from least to greatest and greatest to least: up to millions
A.14. Solve inequalities involving addition and subtraction
A.15. Solve multi-step inequalities
A.16. Apply number knowledge to solve real-world counting scenarios

B. Place Value

B.01. Identify place value models up to thousands
B.02. Name place values up to thousands
B.03. Name place values up to millions
B.04. Determine the value of a digit up to thousands
B.05. Determine the value of a digit up to millions
B.06. Convert numbers to and from standard form: up to thousands
B.07. Convert numbers to and from standard form: up to millions
B.08. Convert between place values: up to thousands
B.09. Convert between place values: up to millions
B.10. Convert numbers from expanded form: up to thousands
B.11. Convert numbers from expanded form: up to millions
B.12. Convert between standard and expanded form: up to thousands
B.13. Convert between standard and expanded form: up to millions
B.14. Solve place value word problems: up to thousands
B.15. Solve place value word problems: up to millions
B.16. Decompose numbers into their place value components

C. Addition Skill Builders

C.10. Use compensation to add numbers up to three digits
C.11. Use expanded form to add three-digit numbers
C.12. Add two numbers up to four digits
C.13. Add three or more numbers up to two digits each
C.14. Add three or more numbers up to three digits each
C.15. Add three numbers up to four digits each
C.16. Complete addition number sentences up to two digits
C.17. Complete addition number sentences up to three digits
C.18. Complete addition number sentences up to four digits
C.19. Balance addition equations up to two digits
C.20. Balance addition equations up to three digits
C.21. Balance addition equations up to four digits
C.22. Identify and apply addition patterns over increasing place values
C.23. Solve addition input/output tables up to two digits
C.24. Solve addition input/output tables up to three digits
C.25. Solve addition input/output tables up to four digits
C.26. Solve addition word problems up to two digits
C.27. Solve addition word problems up to three digits
C.28. Solve addition word problems up to four digits
C.29. Solve addition word problems involving three or more numbers up to two digits each
C.30. Solve addition word problems involving three or more numbers up to three digits each
C.31. Fill in the missing digits in addition problems up to three digits
C.32. Fill in the missing digits in addition problems up to four digits
C.01. Add one-digit numbers fluently
C.02. Add multiples of 10
C.03. Add a two-digit and a one-digit number without carrying over
C.04. Add a two-digit and a one-digit number with carrying over
C.05. Add two two-digit numbers without carrying over
C.06. Add two two-digit numbers with carrying over
C.07. Use compensation to add numbers up to two digits
C.08. Add multiples of 100
C.09. Add two numbers up to three digits

D. Subtraction Skill Builders

D.01. Recall subtraction facts for numbers up to 18
D.02. Subtract multiples of 10
D.03. Subtract a one-digit number from a two-digit number without carrying over
D.04. Subtract a one-digit number from a two-digit number with carrying over
D.05. Subtract two two-digit numbers without carrying over
D.06. Subtract two two-digit numbers with carrying over
D.07. Use compensation to subtract numbers up to two digits
D.08. Subtract multiples of 100
D.09. Subtract numbers up to three digits
D.10. Use compensation to subtract numbers up to three digits
D.11. Subtract numbers up to four digits
D.12. Complete subtraction number sentences up to two digits
D.13. Complete subtraction number sentences up to three digits
D.14. Complete subtraction number sentences up to four digits
D.15. Balance subtraction equations up to two digits
D.16. Balance subtraction equations up to three digits
D.17. Balance subtraction equations up to four digits
D.18. Identify and apply subtraction patterns over increasing place values
D.19. Solve subtraction input/output tables up to two digits
D.20. Solve subtraction input/output tables up to three digits
D.21. Solve subtraction input/output tables up to four digits
D.22. Solve subtraction word problems up to two digits
D.23. Solve subtraction word problems up to three digits
D.24. Subtract numbers up to three digits – fill in the missing digits
D.25. Subtract numbers up to four digits – fill in the missing digits

E. Understanding Multiplication

E.01. Count equal groups of objects
E.02. Identify multiplication expressions for equal groups
E.03. Write multiplication sentences to represent equal groups
E.04. Relate addition and multiplication for equal groups
E.05. Identify multiplication expressions for arrays
E.06. Write multiplication sentences for arrays
E.07. Write two multiplication sentences for an array, demonstrating the commutative property
E.08. Make arrays to model multiplication
E.09. Multiply using number lines
E.10. Write multiplication sentences to represent number lines
E.11. Model and explain the relationship between repeated addition and multiplication
E.12. Use visual aids to illustrate multiplication concepts

F. Multiplication Facts

F.01. Recognize and complete multiplication number sentences
F.02. Recall multiplication facts to 10
F.03. Solve multiplication word problems using facts to 10
F.04. Determine the missing factor in multiplication facts up to 10
F.05. Solve word problems to find missing factors in multiplication facts up to 10
F.06. Recognize squares of numbers up to 10
F.07. Identify and extend multiplication patterns over increasing place values
F.08. Multiply numbers ending in zeroes
F.09. Solve multiplication input/output tables
F.10. Determine the rule in multiplication input/output tables
F.11. Multiply three numbers
F.12. Apply commutative and associative properties to simplify multiplication

G. Multiplication Skill Builders

G.01. Multiply by 0
G.02. Multiply by 1
G.03. Multiply by 2
G.04. Multiply by 3
G.05. Multiply by 4
G.06. Multiply by 5
G.07. Multiply by 6
G.08. Multiply by 7
G.09. Multiply by 8
G.10. Multiply by 9
G.11. Multiply by 10
G.12. Recall multiplication facts for 2, 3, 5, and 10
G.13. Evaluate multiplication facts for 2, 3, 5, and 10 as true or false
G.14. Sort multiplication facts for 2, 3, 5, and 10
G.15. Recall multiplication facts for 4, 6, 7, 8, and 9
G.16. Evaluate multiplication facts for 4, 6, 7, 8, and 9 as true or false
G.17. Sort multiplication facts for 4, 6, 7, 8, and 9
G.18. Recall multiplication facts up to 10
G.19. Evaluate multiplication facts up to 10 as true or false
G.20. Sort multiplication facts up to 10
G.21. Evaluate multiplication number sentences up to 10 as true or false

H. Understanding Division

I. Division Facts

I.01. Recall division facts to 5
I.02. Recall division facts to 10
I.03. Solve division word problems using facts to 10
I.04. Complete division number sentences using facts to 10
I.05. Identify and extend division patterns over increasing place values
I.06. Divide numbers ending in zeroes
I.07. Apply divisibility rules for 2, 5 and 10
I.08. Solve division input/output tables
I.09. Apply division to solve real-world sharing problems
I.10. Explain the concept of remainders in division

J. Division Skill Builders

J.15. Sort division facts up to 10
J.16. Evaluate division number sentences up to 10 as true or false
J.01. Divide by 1
J.02. Divide by 2
J.03. Divide by 3
J.04. Divide by 4
J.05. Divide by 5
J.06. Divide by 6
J.07. Divide by 7
J.08. Divide by 8
J.09. Divide by 9
J.10. Divide by 10
J.11. Recall division facts for 2, 3, 5 and 10
J.12. Evaluate division facts for 2, 3, 5, and 10 as true or false
J.13. Evaluate division facts for 4, 6, 7, 8, and 9 as true or false
J.14. Evaluate division facts up to 10 as true or false

K. Properties of Operations

K.01. Define and identify addition, subtraction, multiplication, and division terms
K.02. Recognize and create fact families
K.03. Understand the use of brackets in mathematical expressions
K.04. Identify and apply properties of addition (commutative, associative, identity)
K.05. Complete equations using properties of addition
K.06. Apply properties of addition to simplify calculations
K.07. Relate addition and multiplication through repeated addition
K.08. Relate multiplication and division as inverse operations
K.09. Apply the distributive property of multiplication over addition
K.10. Use properties to solve mathematical problems in real-world scenarios

L. Mixed Operations

L.01. Recall addition and subtraction facts
L.02. Identify ways to make a number using addition and subtraction facts
L.03. Balance equations using addition and subtraction facts
L.04. Evaluate multiplication and division facts for 2, 3, 5, 10 as true or false
L.05. Evaluate multiplication and division number sentences for 2, 3, 5, 10 as true or false
L.06. Evaluate multiplication and division facts up to 10 as true or false
L.07. Recall addition, subtraction, multiplication, and division facts
L.08. Complete addition, subtraction, or multiplication number sentences
L.09. Add and subtract numbers
L.10. Solve addition and subtraction word problems
L.11. Solve input/output tables by writing the addition or subtraction rule up to 100
L.12. Interpret and use data from tables to add and subtract
L.13. Add, subtract, and multiply numbers
L.14. Solve addition, subtraction, and multiplication word problems
L.15. Solve input/output tables by writing the addition, subtraction, or multiplication rule up to 100
L.16. Solve two-step addition and subtraction word problems
L.17. Solve multi-step word problems
L.18. Identify missing operators in mathematical expressions
L.19. Create real-world problems that require mixed operations for solving

M. Estimation and Rounding

M.01. Round numbers to the nearest ten, hundred, or thousand
M.02. Round to the nearest five cents
M.03. Solve word problems involving rounding to the nearest five cents
M.04. Round to the nearest dollar
M.05. Solve rounding puzzles
M.06. Solve inequalities using estimation
M.07. Estimate sums
M.08. Solve word problems involving estimation of sums
M.09. Estimate differences
M.10. Solve word problems involving estimation of differences
M.11. Estimate products
M.12. Solve word problems involving estimation of products
M.13. Estimate quotients
M.14. Solve word problems involving estimation of quotients
M.15. Solve word problems involving estimation of sums, differences, products, and quotients
M.16. Apply rounding and estimation to check the reasonableness of calculations

N. Number Patterns

O. Money

O.01. Count coins and notes up to $5
O.02. Determine equivalent amounts of money up to $5
O.03. Perform coin exchanges
O.04. Determine if you have enough money for purchases up to $10
O.05. Find the least number of coins needed for a given amount
O.06. Make change
O.07. Compare different amounts of money
O.08. Solve inequalities involving money
O.09. Put money amounts in order from least to greatest and greatest to least
O.10. Solve word problems involving money and simple transactions

P. Time

P.01. Match clocks and times
P.02. Match analogue and digital clocks
P.03. Read clocks and write times
P.04. Distinguish between A.M. and P.M.
P.05. Write times in different formats
P.06. Calculate elapsed time
P.07. Solve elapsed time word problems
P.08. Read a calendar
P.09. Relate time units – seconds, minutes, hours
P.10. Identify and extend time patterns
P.11. Convert between hours and fractions of hours
P.12. Read and interpret schedules
P.13. Interpret timelines
P.14. Calculate start and end times for events

Q. Units of Measurement

Q.01. Read a thermometer
Q.02. Determine reasonable temperatures for various situations
Q.03. Measure objects using a centimetre ruler
Q.04. Select the appropriate metric unit of length
Q.05. Compare metric units of length
Q.06. Solve metric units of length word problems
Q.07. Select the appropriate metric unit of mass
Q.08. Compare metric units of mass
Q.09. Select the appropriate metric unit of volume
Q.10. Compare metric units of volume
Q.11. Compare metric units of measurement
Q.12. Convert between different units within the metric system
Q.13. Apply measurement skills to real-world situations

R. Geometry

R.01. Identify two-dimensional shapes
R.02. Count and compare sides and vertices of two-dimensional shapes
R.03. Identify three-dimensional shapes
R.04. Count vertices, edges and faces of three-dimensional shapes
R.05. Identify faces of three-dimensional shapes
R.06. Identify nets of three-dimensional figures
R.07. Determine if a shape is a polygon
R.08. Identify lines, intervals and rays
R.09. Understand angles as fractions of a circle
R.10. Classify angles as greater than, less than or equal to a right angle
R.11. Identify flip, turn and slide transformations
R.12. Identify symmetry in two-dimensional shapes
R.13. Create symmetrical designs
R.14. Describe the properties of various geometric shapes

S. Geometric Measurement

S.01. Find the area of figures made of unit squares
S.02. Select figures with a given area
S.03. Select two figures with the same area
S.04. Tile a rectangle and find the area
S.05. Multiply to find the area of a rectangle made of unit squares
S.06. Create rectangles with a given area
S.07. Find the area of rectangles and squares
S.08. Find the missing side length of a rectangle
S.09. Calculate the perimeter of simple shapes
S.10. Differentiate between area and perimeter

T. Data and Graphs

T.10. Sort shapes into a Venn diagram
T.11. Count shapes in a Venn diagram
T.12. Analyze data presented in various graphical forms
T.13. Draw conclusions based on data displayed in graphs and tables
T.14. Design and conduct simple surveys to collect data
T.01. Identify objects on a coordinate plane
T.02. Use coordinate planes as maps
T.03. Interpret tally charts
T.04. Read and interpret tables
T.05. Interpret bar graphs
T.06. Create bar graphs
T.07. Interpret picture graphs I
T.08. Interpret picture graphs II
T.09. Create picture graphs

U. Fractions

U.01. Identify equal parts of a whole
U.02. Make halves, thirds and quarters
U.03. Make sixths and eighths
U.04. Make halves, thirds, quarters, sixths and eighths
U.05. Understand fractions using fraction bars
U.06. Understand fractions using area models
U.07. Show fractions using fraction bars
U.08. Show fractions using area models
U.09. Review basic fraction concepts
U.10. Write fractions using numbers and words
U.11. Model unit fractions in word problems
U.12. Solve word problems involving unit fractions
U.13. Model fractions of a whole in word problems
U.14. Solve word problems involving fractions of a whole
U.15. Solve word problems involving fractions of a group
U.16. Represent unit fractions on number lines
U.17. Represent fractions on number lines
U.18. Identify fractions on number lines
U.19. Graph unit fractions on number lines
U.20. Graph fractions on number lines
U.21. Compare fractions with the same denominator
U.22. Order fractions with the same denominator

Course Content

A. Numbers and Counting

A.01. Count forward and backward by twos

A.02. Identify even and odd numbers by counting objects

A.03. Determine if a number is even or odd

A.04. Apply arithmetic rules to identify even or odd numbers

A.05. Identify ordinal numbers up to 100th

A.06. Write numbers in words up to thousands

A.07. Write numbers in words up to millions

A.08. Recognise and interpret Roman numerals I, V, X, L, C, D, and M

A.09. Compare numbers up to thousands

A.10. Compare numbers up to millions

A.11. Identify the largest or smallest number in a set

A.12. Order numbers from least to greatest and greatest to least: up to thousands

A.13. Order numbers from least to greatest and greatest to least: up to millions

A.14. Solve inequalities involving addition and subtraction

A.15. Solve multi-step inequalities

A.16. Apply number knowledge to solve real-world counting scenarios

B. Place Value

B.01. Identify place value models up to thousands

B.02. Name place values up to thousands

B.03. Name place values up to millions

B.04. Determine the value of a digit up to thousands

B.05. Determine the value of a digit up to millions

B.06. Convert numbers to and from standard form: up to thousands

B.07. Convert numbers to and from standard form: up to millions

B.08. Convert between place values: up to thousands

B.09. Convert between place values: up to millions

B.10. Convert numbers from expanded form: up to thousands

B.11. Convert numbers from expanded form: up to millions

B.12. Convert between standard and expanded form: up to thousands

B.13. Convert between standard and expanded form: up to millions

B.14. Solve place value word problems: up to thousands

B.15. Solve place value word problems: up to millions

B.16. Decompose numbers into their place value components

C. Addition Skill Builders

C.10. Use compensation to add numbers up to three digits

C.11. Use expanded form to add three-digit numbers

C.12. Add two numbers up to four digits

C.13. Add three or more numbers up to two digits each

C.14. Add three or more numbers up to three digits each

C.15. Add three numbers up to four digits each

C.16. Complete addition number sentences up to two digits

C.17. Complete addition number sentences up to three digits

C.18. Complete addition number sentences up to four digits

C.19. Balance addition equations up to two digits

C.20. Balance addition equations up to three digits

C.21. Balance addition equations up to four digits

C.22. Identify and apply addition patterns over increasing place values

C.23. Solve addition input/output tables up to two digits

C.24. Solve addition input/output tables up to three digits

C.25. Solve addition input/output tables up to four digits

C.26. Solve addition word problems up to two digits

C.27. Solve addition word problems up to three digits

C.28. Solve addition word problems up to four digits

C.29. Solve addition word problems involving three or more numbers up to two digits each

C.30. Solve addition word problems involving three or more numbers up to three digits each

C.31. Fill in the missing digits in addition problems up to three digits

C.32. Fill in the missing digits in addition problems up to four digits

C.01. Add one-digit numbers fluently

C.02. Add multiples of 10

C.03. Add a two-digit and a one-digit number without carrying over

C.04. Add a two-digit and a one-digit number with carrying over

C.05. Add two two-digit numbers without carrying over

C.06. Add two two-digit numbers with carrying over

C.07. Use compensation to add numbers up to two digits

C.08. Add multiples of 100

C.09. Add two numbers up to three digits

D. Subtraction Skill Builders

D.01. Recall subtraction facts for numbers up to 18

D.02. Subtract multiples of 10

D.03. Subtract a one-digit number from a two-digit number without carrying over

D.04. Subtract a one-digit number from a two-digit number with carrying over

D.05. Subtract two two-digit numbers without carrying over

D.06. Subtract two two-digit numbers with carrying over

D.07. Use compensation to subtract numbers up to two digits

D.08. Subtract multiples of 100

D.09. Subtract numbers up to three digits

D.10. Use compensation to subtract numbers up to three digits

D.11. Subtract numbers up to four digits