AUSTRALIA MATH YEAR 4 – EDmama Australia

A. Number Sense Fundamentals

A.01. Identify even and odd numbers through counting objects.
A.02. Determine if a number is even or odd.
A.03. Apply arithmetic rules to determine if a number is even or odd.
A.04. Round numbers to the nearest ten or hundred.
A.05. Identify prime and composite numbers.
A.06. Understand and use Roman numerals.
A.07. Recognise place value up to ten thousands.
A.08. Recognise place value up to millions.
A.09. Determine the value of a digit up to ten thousands.
A.10. Determine the value of a digit up to millions.
A.11. Convert between standard and expanded form up to ten thousands.
A.12. Convert between standard and expanded form up to millions.
A.13. Convert between place values up to ten thousands.
A.14. Convert between place values up to millions.
A.15. Review place value concepts.
A.16. Solve place value word problems up to ten thousands.
A.17. Solve place value word problems up to millions.
A.18. Write numbers up to ten thousands: convert words to digits.
A.19. Write numbers up to millions: convert words to digits.
A.20. Write numbers up to ten thousands: convert digits to words.
A.21. Write numbers up to millions: convert digits to words.
A.22. Compare numbers up to ten thousands.
A.23. Compare numbers up to millions.
A.24. Put numbers in order up to ten thousands.
A.25. Put numbers in order up to millions.
A.26. Interpret inequalities using number lines.
A.27. Apply number sense to real-world scenarios and problem-solving

B. Addition and its Properties

B.01. Complete simple addition number sentences.
B.02. Identify and apply properties of addition (commutative, associative, identity).
B.03. Use input/output tables with addition to find missing values.
B.04. Add numbers up to five digits.
B.05. Add three or more numbers up to five digits each.
B.06. Balance addition equations.
B.07. Fill in the missing digits in addition problems.
B.08. Choose numbers that result in a particular sum.
B.09. Observe and extend addition patterns over increasing place values.
B.10. Estimate sums of numbers.
B.11. Solve word problems involving addition up to five digits.
B.12. Solve word problems that require estimating sums.
B.13. Create and solve real-world problems involving the addition of large numbers.

C. Subtraction and its Properties

C.01. Complete simple subtraction number sentences.
C.02. Use input/output tables with subtraction to find missing values.
C.03. Subtract numbers up to five digits.
C.04. Balance subtraction equations.
C.05. Fill in the missing digits in subtraction problems.
C.06. Choose numbers that result in a particular difference.
C.07. Observe and extend subtraction patterns over increasing place values.
C.08. Estimate differences between numbers.
C.09. Solve word problems involving subtraction up to five digits.
C.10. Solve word problems that require estimating differences.
C.11. Create and solve real-world problems involving subtraction of large numbers.

D. Multiplication Fundamentals

D.01. Recall multiplication facts up to 10.
D.02. Choose multiples of a given number up to 10.
D.03. Use input/output tables with multiplication to find missing values.
D.04. Identify and apply properties of multiplication (commutative, associative, distributive).
D.05. Choose numbers that result in a particular product.
D.06. Compare numbers using multiplication.
D.07. Find the missing factor in multiplication facts up to 10.
D.08. Multiply by a multiple of ten using place value understanding.
D.09. Multiply by a multiple of ten.
D.10. Observe and extend multiplication patterns over increasing place values.
D.11. Use the distributive property to find the missing factor.
D.12. Multiply one-digit numbers by teen numbers using grids.
D.13. Multiply one-digit numbers by two-digit numbers using area models I.
D.14. Multiply one-digit numbers by two-digit numbers using area models II.
D.15. Multiply one-digit numbers by two-digit numbers.
D.16. Multiply one-digit numbers by three-digit or four-digit numbers.
D.17. Multiply one-digit numbers by larger numbers.
D.18. Multiply two-digit numbers by two-digit numbers: complete the missing steps.
D.19. Multiply two-digit numbers by two-digit numbers.
D.20. Multiply numbers ending in zeroes.
D.21. Multiply three numbers.
D.22. Estimate products of numbers.
D.23. Interpret and solve inequalities involving multiplication.
D.24. Solve word problems involving multiplication facts up to 10.
D.25. Solve word problems involving one-digit numbers by two-digit numbers.
D.26. Solve word problems involving one-digit numbers by three-digit or four-digit numbers.
D.27. Solve word problems involving two-digit numbers by two-digit numbers.
D.28. Solve word problems involving multiplication of numbers ending in zeros.
D.29. Solve word problems involving the multiplication of three or more numbers.
D.30. Solve word problems that require estimating products.
D.31. Create and solve real-world problems involving various multiplication scenarios.

E. Division Fundamentals

E.05. Divide using repeated subtraction.
E.06. Observe and extend division patterns over increasing place values.
E.07. Divide two-digit numbers by one-digit numbers using area models.
E.08. Divide two-digit numbers by one-digit numbers: complete the table.
E.09. Divide three-digit numbers by one-digit numbers using area models.
E.10. Divide using partial quotients.
E.11. Divide two-digit numbers by one-digit numbers.
E.12. Divide three-digit and four-digit numbers by one-digit numbers.
E.13. Divide three-digit and four-digit numbers by one-digit numbers: complete the table.
E.14. Divide two-digit numbers by two-digit numbers.
E.15. Divide numbers ending in zeroes.
E.16. Apply divisibility rules to determine if a number is divisible by another.
E.17. Estimate quotients of numbers.
E.18. Interpret and solve inequalities involving division.
E.19. Solve word problems involving division facts up to 10.
E.20. Solve word problems involving two-digit numbers by one-digit numbers.
E.21. Solve word problems involving three-digit and four-digit numbers by one-digit numbers.
E.22. Solve word problems involving two-digit numbers by two-digit numbers.
E.23. Solve word problems involving division of numbers ending in zeros.
E.24. Solve word problems using divisibility rules.
E.25. Solve word problems that require estimating quotients.
E.26. Create and solve real-world problems involving various division scenarios.
E.01. Recall division facts up to 10.
E.02. Choose numbers that result in a particular quotient.
E.03. Use input/output tables with division to find missing values.
E.04. Identify and apply properties of division.

F. Fractions and Mixed Numbers Basics

F.01. Review basic fraction concepts (numerator, denominator, whole).
F.02. Represent fractions on number lines.
F.03. Identify fractions of a whole in word problems.
F.04. Identify fractions of a group in word problems.
F.05. Identify equivalent fractions.
F.06. Find equivalent fractions using area models: two models.
F.07. Find equivalent fractions using area models: one model.
F.08. Identify equivalent fractions on number lines.
F.09. Find equivalent fractions using number lines.
F.10. Graph equivalent fractions on number lines.
F.11. Find the missing numerator or denominator in equivalent fractions.
F.12. Write fractions in lowest terms.
F.13. Select fractions equivalent to whole numbers using models.
F.14. Find fractions equivalent to whole numbers.
F.15. Graph fractions equivalent to 1 on number lines.
F.16. Understand fractions with denominators of 10 and 100.
F.17. Identify patterns of equivalent fractions.
F.18. Identify mixed numbers from visual representations.
F.19. Write mixed numbers in words.
F.20. Convert between improper fractions and mixed numbers.
F.21. Model and visualize addition and subtraction of fractions with like denominators.

G. Decimal Foundations

G.01. Identify decimal numbers from visual representations.
G.02. Understand decimals expressed in words.
G.03. Recognise place values in decimal numbers.
G.04. Model relationships between decimals and fractions.
G.05. Identify equivalent decimals.
G.06. Determine one-tenth or one-hundredth more or less than a given decimal.
G.07. Graph decimals on number lines.
G.08. Use decimal number lines to represent values.
G.09. Graph fractions as decimals on number lines.
G.10. Convert fractions and mixed numbers to decimals with denominators of 10 and 100.
G.11. Convert decimals to fractions and mixed numbers.
G.12. Round decimals to the nearest whole number and tenth.
G.13. Explore real-world applications of decimals, such as money and measurement.

H. Mixed Operations and Problem Solving

H.01. Complete addition or subtraction number sentences up to 100.
H.02. Balance addition and subtraction equations up to 100.
H.03. Determine if multiplication and division facts up to 10 are true or false.
H.04. Add, subtract, multiply, and divide whole numbers.
H.05. Mentally add and subtract numbers ending in zeroes.
H.06. Solve word problems involving multiplication and division.
H.07. Solve word problems with extra or missing information.
H.08. Choose numbers that result in a particular sum, difference, product, or quotient.
H.09. Solve word problems using guess-and-check strategies.
H.10. Use brackets to clarify the order of operations in expressions.
H.11. Add, subtract, multiply and divide in multi-step word problems.
H.12. Estimate sums, differences, products, and quotients in word problems.
H.13. Evaluate expressions involving multiple operations with and without brackets.
H.14. Interpret and solve inequalities involving addition, subtraction, multiplication, and division.
H.15. Use input/output tables with addition, subtraction, multiplication, and division to find missing values.
H.16. Develop strategies for solving complex word problems involving mixed operations.

I. Patterns and Relationships

I.01. Identify number sequences and patterns.
I.02. Complete an increasing number pattern.
I.03. Complete a geometric number pattern.
I.04. Use a rule to complete a multiplication pattern.
I.05. Identify characteristics of a multiplication pattern.
I.06. Identify mistakes in number patterns.
I.07. Solve word problems involving number patterns.
I.08. Solve mixed review problems involving number patterns.
I.09. Create and describe patterns using various mathematical operations.

J. Data Representation and Interpretation

J.01. Read and interpret data presented in a table.
J.02. Read and interpret picture graphs.
J.03. Create picture graphs to represent data.
J.04. Read and interpret bar graphs.
J.05. Create bar graphs to represent data.
J.06. Read and interpret line graphs.
J.07. Create line graphs to represent data.
J.08. Create frequency charts to organize data.
J.09. Identify objects on a coordinate plane.
J.10. Use coordinate planes as maps to locate points.
J.11. Choose the best type of graph to represent a given dataset.
J.12. Analyze and compare different graphical representations of the same data.

K. Money Calculations

K.01. Compare money amounts using different denominations.
K.02. Round money amounts to the nearest five cents.
K.03. Solve word problems involving rounding to the nearest five cents.
K.04. Round money amounts to the nearest dollar or more.
K.05. Add and subtract money amounts up to $1.
K.06. Add and subtract money amounts involving dollars and cents.
K.07. Solve word problems involving addition and subtraction of money amounts.
K.08. Calculate making change from a purchase.
K.09. Use price lists to solve multi-step money problems.
K.10. Plan and budget for a purchase, considering cost, tax, and discounts.

L. Measurement Units and Conversions

L.01. Read and interpret measurements on a thermometer.
L.02. Determine reasonable temperatures for various situations.
L.03. Measure objects using a centimetre ruler.
L.04. Choose the appropriate metric unit of measure for length.
L.05. Compare metric units of length (mm, cm, m, km).
L.06. Compare metric units of mass (g, kg).
L.07. Compare metric units of volume (mL, L).
L.08. Interpret distances on a map.
L.09. Solve word problems involving scale drawings.
L.10. Estimate measurements in different metric units.
L.11. Solve multi-step problems involving conversions between metric units.

M. Time and Time Management

M.11. Create a schedule and manage time effectively for daily activities.
M.01. Convert between different units of time (seconds, minutes, hours, days).
M.02. Identify A.M. or P.M. for a given time.
M.03. Determine fractions of time units (e.g., half an hour, quarter of an hour).
M.04. Calculate elapsed time between two events.
M.05. Add and subtract mixed time units (e.g., hours and minutes).
M.06. Solve word problems involving elapsed time.
M.07. Use transportation schedules to plan a trip.
M.08. Determine time zones for different locations.
M.09. Solve multi-step word problems to find start and end times.
M.10. Identify and extend patterns related to time.

N. Geometry Fundamentals

N.01. Identify lines, intervals, and rays.
N.02. Determine if a shape is a polygon.
N.03. Identify the number of sides in polygons.
N.04. Identify three-dimensional figures (cubes, spheres, cones, cylinders).
N.05. Identify faces of three-dimensional figures.
N.06. Count vertices, edges, and faces of three-dimensional figures.
N.07. Identify acute, right, obtuse, and straight angles.
N.08. Identify angles greater than, less than, or equal to a right angle.
N.09. Identify lines of symmetry in two-dimensional shapes.
N.10. Draw lines of symmetry in two-dimensional shapes.
N.11. Count lines of symmetry in two-dimensional shapes.
N.12. Determine if a shape has rotational symmetry.
N.13. Determine which two-dimensional figure is being described based on its properties.
N.14. Compose two-dimensional shapes to create new shapes.
N.15. Determine which three-dimensional figure is being described based on its properties.
N.16. Identify nets of three-dimensional figures.
N.17. Classify triangles based on side lengths and angle measures.

O. Geometric Measurement and Spatial Reasoning

O.01. Find the perimeter of rectangles.
O.02. Find the perimeter of polygons.
O.03. Find the area of figures made of unit squares.
O.04. Select figures with a given area.
O.05. Select two figures with the same area.
O.06. Find the area of figures on grids.
O.07. Tile a rectangle and find the area.
O.08. Multiply to find the area of a rectangle made of unit squares.
O.09. Create figures with a given area.
O.10. Find the area or missing side length of a rectangle.
O.11. Calculate the volume of rectangular prisms made of unit cubes.
O.12. Calculate the volume of irregular figures made of unit cubes.
O.13. Solve area and perimeter word problems.
O.14. Design and calculate the dimensions of a room with a specific area or perimeter.

Course Content

A. Number Sense Fundamentals

A.01. Identify even and odd numbers through counting objects.

A.02. Determine if a number is even or odd.

A.03. Apply arithmetic rules to determine if a number is even or odd.

A.04. Round numbers to the nearest ten or hundred.

A.05. Identify prime and composite numbers.

A.06. Understand and use Roman numerals.

A.07. Recognise place value up to ten thousands.

A.08. Recognise place value up to millions.

A.09. Determine the value of a digit up to ten thousands.

A.10. Determine the value of a digit up to millions.

A.11. Convert between standard and expanded form up to ten thousands.

A.12. Convert between standard and expanded form up to millions.

A.13. Convert between place values up to ten thousands.

A.14. Convert between place values up to millions.

A.15. Review place value concepts.

A.16. Solve place value word problems up to ten thousands.

A.17. Solve place value word problems up to millions.

A.18. Write numbers up to ten thousands: convert words to digits.

A.19. Write numbers up to millions: convert words to digits.

A.20. Write numbers up to ten thousands: convert digits to words.

A.21. Write numbers up to millions: convert digits to words.

A.22. Compare numbers up to ten thousands.

A.23. Compare numbers up to millions.

A.24. Put numbers in order up to ten thousands.

A.25. Put numbers in order up to millions.

A.26. Interpret inequalities using number lines.

A.27. Apply number sense to real-world scenarios and problem-solving

B. Addition and its Properties

B.01. Complete simple addition number sentences.

B.02. Identify and apply properties of addition (commutative, associative, identity).

B.03. Use input/output tables with addition to find missing values.

B.04. Add numbers up to five digits.

B.05. Add three or more numbers up to five digits each.

B.06. Balance addition equations.

B.07. Fill in the missing digits in addition problems.

B.08. Choose numbers that result in a particular sum.

B.09. Observe and extend addition patterns over increasing place values.

B.10. Estimate sums of numbers.

B.11. Solve word problems involving addition up to five digits.

B.12. Solve word problems that require estimating sums.

B.13. Create and solve real-world problems involving the addition of large numbers.

C. Subtraction and its Properties

C.01. Complete simple subtraction number sentences.

C.02. Use input/output tables with subtraction to find missing values.

C.03. Subtract numbers up to five digits.

C.04. Balance subtraction equations.

C.05. Fill in the missing digits in subtraction problems.

C.06. Choose numbers that result in a particular difference.

C.07. Observe and extend subtraction patterns over increasing place values.

C.08. Estimate differences between numbers.

C.09. Solve word problems involving subtraction up to five digits.

C.10. Solve word problems that require estimating differences.

C.11. Create and solve real-world problems involving subtraction of large numbers.

D. Multiplication Fundamentals

D.01. Recall multiplication facts up to 10.

D.02. Choose multiples of a given number up to 10.

D.03. Use input/output tables with multiplication to find missing values.

D.04. Identify and apply properties of multiplication (commutative, associative, distributive).

D.05. Choose numbers that result in a particular product.

D.06. Compare numbers using multiplication.

D.07. Find the missing factor in multiplication facts up to 10.

D.08. Multiply by a multiple of ten using place value understanding.

D.09. Multiply by a multiple of ten.

D.10. Observe and extend multiplication patterns over increasing place values.

D.11. Use the distributive property to find the missing factor.

D.12. Multiply one-digit numbers by teen numbers using grids.

D.13. Multiply one-digit numbers by two-digit numbers using area models I.

D.14. Multiply one-digit numbers by two-digit numbers using area models II.

D.15. Multiply one-digit numbers by two-digit numbers.

D.16. Multiply one-digit numbers by three-digit or four-digit numbers.

D.17. Multiply one-digit numbers by larger numbers.

D.18. Multiply two-digit numbers by two-digit numbers: complete the missing steps.

D.19. Multiply two-digit numbers by two-digit numbers.

D.20. Multiply numbers ending in zeroes.

D.21. Multiply three numbers.

D.22. Estimate products of numbers.

D.23. Interpret and solve inequalities involving multiplication.

D.24. Solve word problems involving multiplication facts up to 10.