AUSTRALIA MATH YEAR 6 – EDmama Australia

A. Whole Numbers and Place Value

A.01. Identify place values in whole numbers up to millions
A.02. Read and write word names for whole numbers
A.03. Convert between standard and expanded forms of whole numbers
A.04. Interpret and use Roman numerals
A.05. Compare and order whole numbers based on place value
A.06. Round whole numbers to a specified place value

B. Addition and Subtraction

B.01. Understand and apply the properties of addition (commutative, associative, identity)
B.02. Add and subtract whole numbers up to millions
B.03. Estimate sums and differences of whole numbers using rounding
B.04. Solve word problems involving addition and subtraction of whole numbers
B.05. Estimate sums and differences: word problems
B.06. Add decimal numbers
B.07. Subtract decimal numbers
B.08. Add and subtract decimal numbers
B.09. Solve word problems involving addition and subtraction of decimals
B.10. Estimate sums and differences of decimals using rounding
B.11. Estimate sums and differences of decimals using benchmarks
B.12. Solve multi-step word problems involving addition and subtraction of whole numbers and decimals
B.13. Apply addition and subtraction to solve problems involving maps with decimal distances

C. Multiplication

C.01. Apply the commutative, associative, and distributive properties of multiplication
C.02. Multiply whole numbers using area models
C.03. Multiply whole numbers using the distributive property
C.04. Use lattice multiplication to multiply whole numbers
C.05. Multiply multi-digit whole numbers
C.06. Multiply whole numbers with factors ending in zeroes
C.07. Estimate products of whole numbers
C.08. Solve word problems involving multiplication of whole numbers
C.09. Multiply three or more numbers
C.10. Solve word problems involving the multiplication of three or more numbers
C.11. Multiply numbers ending in zeroes: word problems
C.12. Explore the relationship between multiplication and repeated addition

D. Division

D.01. Apply divisibility rules to determine if a number is divisible by another number
D.02. Divide multi-digit numbers by two-digit numbers
D.03. Recognize and use division patterns with zeroes
D.04. Estimate quotients using compatible numbers
D.05. Estimate quotients
D.06. Solve word problems involving division of whole numbers
D.07. Solve division problems where the dividend ends in zero
D.08. Solve word problems where the dividend ends in zero
D.09. Relate division to fractions and ratios

E. Fractions and Mixed Numbers

E.01. Review the concept of fractions and mixed numbers
E.02. Interpret fractions in word problems
E.03. Find and represent equivalent fractions using area models
E.04. Graph equivalent fractions on number lines
E.05. Identify and generate equivalent fractions
E.06. Write fractions in lowest terms (simplify fractions)
E.07. Solve word problems involving fractions
E.08. Identify the lowest common denominator (LCD) of two or more fractions
E.09. Graph and compare fractions on number lines
E.10. Compare fractions with like and unlike denominators
E.11. Solve word problems involving comparison of fractions
E.12. Convert between improper fractions and mixed numbers
E.13. Convert fractions and mixed numbers to decimals
E.14. Convert decimals to fractions and mixed numbers
E.15. Convert between decimals and fractions or mixed numbers
E.16. Arrange a mix of decimals, fractions, and mixed numbers in order
E.17. Explain the relationship between fractions, ratios and division.

F. Decimals

G. Exponents

H. Number Theory

H.07. Solve word problems involving HCF and LCM
H.08. Identify square numbers
H.09. Explore the relationship between factors, multiples, prime and composite numbers
H.10. Recognize and generate square numbers
H.11. Extend to cube numbers
H.01. Determine if a number is prime or composite
H.02. Identify factors of a given number
H.03. Find the prime factorisation of a number
H.04. Write prime factorisation using exponents
H.05. Determine the highest common factor (HCF) of two or more numbers
H.06. Determine the lowest common multiple (LCM) of two or more numbers

I. Multiply and Divide Decimals

I.01. Multiply a decimal by a power of ten
I.02. Multiply a decimal by a one-digit number using the distributive property
I.03. Multiply a decimal by a one-digit whole number
I.04. Multiply a decimal by a two-digit number using area models
I.05. Multiply a decimal by a multi-digit whole number
I.06. Solve word problems involving multiplication of decimals and whole numbers
I.07. Multiply two decimals
I.08. Estimate products of decimal numbers
I.09. Use inequalities with decimal multiplication
I.10. Divide decimals by powers of ten
I.11. Recognize decimal division patterns over increasing place values
I.12. Divide a decimal by a power of ten: find the missing number
I.13. Divide decimals using area models: complete the equation
I.14. Divide decimals by whole numbers
I.15. Solve word problems involving division of decimals by whole numbers
I.16. Connect multiplication and division as inverse operations with decimals

J. Add and Subtract Fractions

J.01. Add and subtract fractions with like denominators using number lines
J.02. Add and subtract fractions with like denominators
J.03. Solve word problems involving addition and subtraction of fractions with like denominators
J.04. Use inequalities with addition and subtraction of like fractions
J.05. Add fractions with unlike denominators using models
J.06. Add fractions with unlike denominators
J.07. Subtract fractions with unlike denominators using models
J.08. Subtract fractions with unlike denominators
J.09. Solve word problems involving addition and subtraction of fractions with unlike denominators
J.10. Estimate sums and differences of fractions using benchmarks
J.11. Add and subtract mixed numbers with like denominators
J.12. Add and subtract mixed numbers with unlike denominators
J.13. Solve word problems involving addition and subtraction of mixed numbers with like or unlike denominators
J.14. Estimate sums and differences of mixed numbers

K. Multiply Fractions

K.01. Find fractions of a number
K.02. Solve word problems involving fractions of a number
K.03. Multiply unit fractions by whole numbers using number lines
K.04. Identify multiples of fractions
K.05. Multiply fractions by whole numbers using number lines
K.06. Multiply fractions by whole numbers I
K.07. Multiply fractions by whole numbers II
K.08. Estimate products of fractions and whole numbers
K.09. Multiply fractions by whole numbers: input/output tables
K.10. Multiply mixed numbers and whole numbers
K.11. Multiply a fraction by another fraction
K.12. Multiply mixed numbers by fractions
K.13. Apply fraction multiplication to real world problems like scaling recipes

L. Ratios and Rates

M. Percents

M.01. Identify the percentage illustrated in a visual model
M.02. Convert fractions to percents using grid models
M.03. Convert between percents, fractions, and decimals
M.04. Solve word problems involving conversions between percents, fractions, and decimals
M.05. Compare percents to each other and to fractions
M.06. Solve word problems involving comparisons of percents and fractions
M.07. Estimate percents of numbers
M.08. Calculate percents of numbers and money amounts
M.09. Solve word problems involving percents of numbers
M.10. Find what percent one number is of another
M.11. Solve word problems to find what percent one number is of another
M.12. Calculate percentage increase and decrease

N. Integers

N.01. Understand the concept of integers and their opposites
N.02. Represent integers on number lines
N.03. Graph integers on horizontal and vertical number lines
N.04. Compare and order integers using number lines
N.05. Compare integers
N.06. Put integers in order
N.07. Add integers using number lines
N.08. Subtract integers using number lines
N.09. Perform addition and subtraction operations with integers
N.10. Extend to multiplication and division of integers

O. Mixed Operations

O.01. Add, subtract, multiply, or divide two whole numbers
O.02. Solve word problems involving two operations with whole numbers
O.03. Evaluate numerical expressions using the order of operations (PEMDAS/BODMAS)
O.04. Evaluate numerical expressions with brackets/parentheses
O.05. Identify mistakes involving the order of operations
O.06. Evaluate numerical expressions with brackets in different places
O.07. Add, subtract, multiply, or divide two decimals
O.08. Solve word problems involving two operations with decimals
O.09. Evaluate numerical expressions involving decimals
O.10. Add, subtract, or multiply two fractions
O.11. Solve word problems involving two operations with fractions
O.12. Solve multi-step problems involving mixed operations with whole numbers, decimals, and fractions

P. Units of Measurement

P.01. Estimate metric measurements
P.02. Convert and compare metric units of length
P.03. Convert and compare metric units of mass
P.04. Convert and compare metric units of volume
P.05. Convert and compare metric units
P.06. Convert metric units involving decimals
P.07. Interpret conversion tables
P.08. Work with metric mixed units
P.09. Convert between cubic centimetres, millilitres, and litres
P.10. Convert between square metres and hectares
P.11. Compare temperatures above and below zero
P.12. Convert between different units of time (seconds, minutes, hours, days)

Q. Time

R. Money

S. Consumer Maths

T. Variable Expressions

U. One-Variable Equations

V. Two-Dimensional Figures

V.01. Identify and classify polygons based on their properties
V.02. Measure and classify angles (acute, obtuse, right, straight)
V.03. Find a missing angle – adjacent angles
V.04. Estimate angle measurements
V.05. Name angles using proper notation
V.06. Identify complementary, supplementary, vertical, adjacent and congruent angles
V.07. Find measures of complementary, supplementary, vertical and adjacent angles
V.08. Understand and apply the properties of transversals of parallel lines

W. Three-Dimensional Figures

X. Geometric Measurement

Y. Symmetry and Transformations

Z. Coordinate Plane

AA. Number Sequences

AA.01. Identify arithmetic sequences with whole numbers
AA.02. Identify arithmetic sequences with decimals
AA.03. Identify arithmetic sequences with fractions
AA.04. Complete an increasing number sequence
AA.05. Complete a geometric number sequence
AA.06. Use a rule to complete a number sequence
AA.07. Identify mistakes in number patterns
AA.08. Solve number sequences: word problems
AA.09. Solve number sequences: mixed review
AA.10. Recognize and create shape patterns
AA.11. Generate terms in a sequence defined by a recursive rule

BB. Data and Graphs

BB.01. Interpret data presented in picture graphs
BB.02. Create picture graphs to represent data
BB.03. Interpret data presented in dot plots
BB.04. Create dot plots to represent data
BB.05. Interpret data presented in stem-and-leaf plots
BB.06. Create stem-and-leaf plots to represent data
BB.07. Create frequency tables to organize data
BB.08. Interpret bar graphs
BB.09. Create bar graphs
BB.10. Interpret double bar graphs
BB.11. Create double bar graphs
BB.12. Interpret circle graphs with fractions
BB.13. Interpret line graphs
BB.14. Create line graphs
BB.15. Interpret double line graphs
BB.16. Create double line graphs
BB.17. Choose the best type of graph to represent a given data set
BB.18. Analyze and draw conclusions from data presented in various graphs

CC. Statistics

CC.01. Calculate the mean of a data set
CC.02. Calculate the median of a data set
CC.03. Calculate the mode of a data set
CC.04. Calculate the range of a data set
CC.05. Interpret charts to find the mean
CC.06. Interpret charts to find the median
CC.07. Interpret charts to find the mode
CC.08. Interpret charts to find the range
CC.09. Find the missing number given the mean, median, mode, or range
CC.10. Identify outliers and their effect on measures of central tendency
CC.11. Compare and contrast mean, median, mode, and range

Course Content

A. Whole Numbers and Place Value

A.01. Identify place values in whole numbers up to millions

A.02. Read and write word names for whole numbers

A.03. Convert between standard and expanded forms of whole numbers

A.04. Interpret and use Roman numerals

A.05. Compare and order whole numbers based on place value

A.06. Round whole numbers to a specified place value

B. Addition and Subtraction

B.01. Understand and apply the properties of addition (commutative, associative, identity)

B.02. Add and subtract whole numbers up to millions

B.03. Estimate sums and differences of whole numbers using rounding

B.04. Solve word problems involving addition and subtraction of whole numbers

B.05. Estimate sums and differences: word problems

B.06. Add decimal numbers

B.07. Subtract decimal numbers

B.08. Add and subtract decimal numbers

B.09. Solve word problems involving addition and subtraction of decimals

B.10. Estimate sums and differences of decimals using rounding

B.11. Estimate sums and differences of decimals using benchmarks

B.12. Solve multi-step word problems involving addition and subtraction of whole numbers and decimals

B.13. Apply addition and subtraction to solve problems involving maps with decimal distances

C. Multiplication

C.01. Apply the commutative, associative, and distributive properties of multiplication

C.02. Multiply whole numbers using area models

C.03. Multiply whole numbers using the distributive property

C.04. Use lattice multiplication to multiply whole numbers

C.05. Multiply multi-digit whole numbers

C.06. Multiply whole numbers with factors ending in zeroes

C.07. Estimate products of whole numbers

C.08. Solve word problems involving multiplication of whole numbers

C.09. Multiply three or more numbers

C.10. Solve word problems involving the multiplication of three or more numbers

C.11. Multiply numbers ending in zeroes: word problems

C.12. Explore the relationship between multiplication and repeated addition

D. Division

D.01. Apply divisibility rules to determine if a number is divisible by another number

D.02. Divide multi-digit numbers by two-digit numbers

D.03. Recognize and use division patterns with zeroes

D.04. Estimate quotients using compatible numbers

D.05. Estimate quotients

D.06. Solve word problems involving division of whole numbers

D.07. Solve division problems where the dividend ends in zero

D.08. Solve word problems where the dividend ends in zero

D.09. Relate division to fractions and ratios

E. Fractions and Mixed Numbers

E.01. Review the concept of fractions and mixed numbers

E.02. Interpret fractions in word problems

E.03. Find and represent equivalent fractions using area models

E.04. Graph equivalent fractions on number lines

E.05. Identify and generate equivalent fractions

E.06. Write fractions in lowest terms (simplify fractions)

E.07. Solve word problems involving fractions

E.08. Identify the lowest common denominator (LCD) of two or more fractions

E.09. Graph and compare fractions on number lines

E.10. Compare fractions with like and unlike denominators

E.11. Solve word problems involving comparison of fractions

E.12. Convert between improper fractions and mixed numbers

E.13. Convert fractions and mixed numbers to decimals

E.14. Convert decimals to fractions and mixed numbers

E.15. Convert between decimals and fractions or mixed numbers

E.16. Arrange a mix of decimals, fractions, and mixed numbers in order

E.17. Explain the relationship between fractions, ratios and division.

F. Decimals

F.01. Identify the decimal number illustrated in a model

F.02. Recognize and understand decimal place values

F.03. Read and write word names for decimal numbers

F.04. Compare and order decimal numbers

F.05. Use inequalities to compare decimals

F.06. Round decimals to a specified place value

F.07. Round whole numbers and decimals: find the missing digit

F.08. Locate decimals on a number line

G. Exponents

G.01. Write multiplication expressions using exponents

G.02. Evaluate powers (exponents)

G.03. Find the missing exponent or base in an exponential expression

G.04. Use exponents to express numbers in scientific notation (small powers of ten)

G.05. Understand and apply the order of operations, including exponents

H. Number Theory

H.07. Solve word problems involving HCF and LCM