AUSTRALIA MATH YEAR 1 – EDmama Australia

A. Counting and Number Recognition

A.01. Recognize and name numbers up to 10
A.02. Count objects up to 10 and match the count to the numeral.
A.03. Identify numbers as even or odd
A.04. Count objects up to 20.
A.05. Count to fill a ten frame
A.06. Count on ten frames – up to 40
A.07. Writing numbers in words – convert digits to words
A.08. Counting – up to 100
A.09. Counting – up to 120
A.10. Writing numbers in words – convert words to digits
A.11. Solve problems using ordinal numbers
A.12. Identify and use Roman numerals I, V, and X.

B. Comparing and Ordering Numbers

B.01. Compare numbers up to 10 using words like “greater than,” “less than,” or “equal to.”
B.02. Order objects: length and height
B.03. Use symbols (, =) to compare numbers up to 10.
B.04. Compare numbers up to 120 using words.
B.05. Use symbols (, =) to compare numbers up to 120.
B.06. Put numbers in order
B.07. Solve comparison word problems
B.08. Estimate to the nearest ten
B.09. Comparing – review

C. Place Value

C.01. Identify tens and ones using place value models.
C.02. Write tens and ones – up to 30
C.03. Write numbers up to 30 as tens and ones.
C.04. Write tens and ones – up to 100
C.05. Represent numbers up to 100 using place value models.
C.06. Write numbers up to 100 as tens and ones.
C.07. Understand place value models – up to hundreds
C.08. Explore place value models – up to thousands
C.09. Apply understanding of place value to solve real-world problems involving quantity

D. Addition: Foundations

D.01. Add with cubes – sums up to 10
D.02. Represent addition with pictures – sums up to 10
D.03. Identify the addition sentence that matches a model (sums up to 10).
D.04. Determine what an addition model shows (sums up to 10).
D.05. Addition sentences up to 10 – which model matches?
D.06. Addition sentences up to 10 – what does the model show?
D.07. Use number lines to solve addition sentences – sums up to 10
D.08. Understand the relationship between addition and combining sets.
D.09. Make teen numbers with models: addition sentences
D.10. Take apart teen numbers with models: addition sentences
D.11. Make and take apart teen numbers with models: addition sentences
D.12. Apply addition skills to solve basic word problems.

E. Addition: Skill Builders

E.01. Adding 0
E.02. Adding 1
E.03. Adding 2
E.04. Adding 3
E.05. Adding 4
E.06. Adding 5
E.07. Adding 6
E.08. Adding 7
E.09. Adding 8
E.10. Adding 9
E.11. Adding 10
E.12. Practice addition facts to build fluency.

F. Addition: Facts and Strategies

F.01. Recall addition facts – sums up to 10
F.02. Complete the addition sentence – sums up to 10
F.03. Make a number using addition – sums up to 10
F.04. Identify different ways to make a number using addition – sums up to 10
F.05. Solve addition word problems with pictures – sums up to 10
F.06. Solve addition word problems – sums up to 10
F.07. Addition sentences for word problems – sums up to 10
F.08. Recall addition facts – sums up to 20
F.09. Complete the addition sentence – sums up to 20
F.10. Use number lines to solve addition sentences – sums up to 20
F.11. Solve addition word problems – sums up to 20
F.12. Addition sentences for word problems – sums up to 20
F.13. Identify related addition facts
F.14. Determine if addition sentences are true or false
F.15. Use models to add a one-digit number and a two-digit number – without regrouping
F.16. Add a one-digit number to a two-digit number – without regrouping
F.17. Use models to add a two-digit and a one-digit number – with regrouping
F.18. Add a one-digit number to a two-digit number – with regrouping
F.19. Apply addition properties (commutative, associative) to simplify calculations.

G. Addition: Advanced Strategies

G.01. Add doubles – with models
G.02. Add doubles
G.03. Add doubles – complete the sentence
G.04. Add using doubles plus one
G.05. Add using doubles minus one
G.06. Add three numbers – use doubles
G.07. Complete the addition sentence – make ten
G.08. Add three numbers – make ten
G.09. Add three numbers
G.10. Add three numbers – word problems
G.11. Explain the relationship between addition and subtraction
G.12. Relate addition and subtraction sentences

H. Subtraction: Foundations

H.01. Subtract with cubes – up to 10
H.02. Represent subtraction with pictures – numbers up to 10
H.03. Identify the subtraction sentence that matches a model (up to 10).
H.04. Determine what a subtraction model shows (up to 10).
H.05. Subtraction sentences up to 10 – which model matches?
H.06. Subtraction sentences up to 10 – what does the model show?
H.07. Use number lines to solve subtraction sentences – numbers up to 10
H.08. Subtract zero and all
H.09. Understand the relationship between subtraction and taking away from a set.
H.10. Apply subtraction skills to solve basic word problems.

I. Subtraction: Skill Builders

I.01. Subtracting 0
I.02. Subtracting 1
I.03. Subtracting 2
I.04. Subtracting 3
I.05. Subtracting 4
I.06. Subtracting 5
I.07. Subtracting 6
I.08. Subtracting 7
I.09. Subtracting 8
I.10. Subtracting 9
I.11. Subtracting 10
I.12. Practice subtraction facts to build fluency.

J. Subtraction: Facts and Strategies

J.12. Make a number using subtraction – numbers up to 20
J.13. Identify related subtraction facts
J.14. Determine if subtraction sentences are true or false
J.15. Subtract a one-digit number from a two-digit number
J.16. Apply subtraction properties to simplify calculations
J.17. Use mental math strategies to solve subtraction problems quickly
J.01. Recall subtraction facts – numbers up to 10
J.02. Make a number using subtraction – numbers up to 10
J.03. Identify different ways to subtract from a number – subtraction sentences
J.04. Complete the subtraction sentence
J.05. Solve subtraction word problems with pictures – up to 10
J.06. Solve subtraction word problems – numbers up to 10
J.07. Subtraction sentences for word problems – numbers up to 10
J.08. Recall subtraction facts – numbers up to 20
J.09. Use number lines to solve subtraction sentences – numbers up to 20
J.10. Solve subtraction word problems – numbers up to 20
J.11. Subtraction sentences for word problems – numbers up to 20

K. Subtraction: Advanced Strategies

L. Mixed Operations

L.01. Understand fact families
L.02. Addition and subtraction facts – numbers up to 10
L.03. Addition and subtraction facts – numbers up to 20
L.04. Addition and subtraction word problems – numbers up to 20
L.05. Addition and subtraction sentences for word problems – numbers up to 20
L.06. Which sign makes the number sentence true?
L.07. Determine which addition or subtraction sentence is true
L.08. Solve mixed operation problems
L.09. Addition and subtraction sentences – which is true?
L.10. Ten more or less
L.11. Addition and subtraction – ways to make a number
L.12. Solve multi-step word problems involving addition and subtraction

M. Skip Counting and Patterns

M.01. Learn to skip-count by twos
M.02. Skip-count by twos
M.03. Learn to skip-count by fives
M.04. Skip-count by fives
M.05. Learn to skip-count by tens
M.06. Skip-count by tens
M.07. Learn to skip-count by twos, fives and tens
M.08. Skip-count by twos, fives and tens
M.09. Count by twos, fives and tens
M.10. Sequences – count up and down by 1, 2, 5 and 10
M.11. Skip-counting patterns – with tables
M.12. Extrapolate and extend number patterns beyond the given sequence

N. Basic Measurement

N.01. Identify long and short objects
N.02. Identify tall and short objects
N.03. Order objects by length and height
N.04. Identify light and heavy objects
N.05. Compare which objects holds more or less
N.06. Compare size, weight and capacity
N.07. Measure using objects
N.08. Measure length with cubes
N.09. Measure height with cubes
N.10. Read a thermometer
N.11. Measure using a centimetre ruler
N.12. Which metric unit of length is appropriate?
N.13. Metric units of length – word problems
N.14. Which metric unit of mass is appropriate?
N.15. Understand the concept of volume and capacity using non-standard units

O. Time

O.01. Match analogue clocks and times
O.02. Match digital clocks and times
O.03. Match analogue and digital clocks
O.04. Read clocks and write times
O.05. Distinguish between A.M. and P.M.
O.06. Associate times with everyday events
O.07. Compare clocks
O.08. Identify the seasons of the year
O.09. Name the days of the week
O.10. Name the months of the year
O.11. Read a calendar
O.12. Calculate elapsed time in hours and half-hours

P. Money

Q. Two-Dimensional Shapes

Q.01. Name the two-dimensional shape
Q.02. Select two-dimensional shapes
Q.03. Count sides and vertices
Q.04. Compare sides and vertices
Q.05. Identify square corners
Q.06. Recognize equal sides
Q.07. Distinguish between open and closed shapes
Q.08. Recognize flip, turn and slide transformations
Q.09. Identify symmetry
Q.10. Compose two-dimensional shapes
Q.11. Understand tessellations and how shapes can fit together without gaps

R. Three-Dimensional Shapes

R.01. Distinguish between two-dimensional and three-dimensional shapes
R.02. Name the three-dimensional shape
R.03. Identify cubes and rectangular prisms
R.04. Select three-dimensional shapes
R.05. Count vertices, edges and faces
R.06. Compare vertices, edges and faces
R.07. Identify shapes traced from solids
R.08. Identify faces of three-dimensional shapes
R.09. Recognize three-dimensional shapes in the real world I
R.10. Recognize three-dimensional shapes in the real world II
R.11. Build three-dimensional shapes using nets

S. Spatial Sense

T. Fractions

T.01. Recognize equal parts
T.02. Identify halves
T.03. Identify thirds
T.04. Identify quarters
T.05. Recognize halves and quarters
T.06. Recognize halves, thirds and quarters
T.07. Make halves
T.08. Make quarters
T.09. Make halves and quarters
T.10. Make halves and quarters in different ways
T.11. Match simple fractions to shapes: which shape matches the fraction?
T.12. Identify the fraction represented by a shape: what fraction does the shape show?
T.13. Identify simple fractions as parts of a group
T.14. Compare and order fractions with the same denominator

U. Data and Graphs

U.01. Identify the correct picture graph
U.02. Interpret picture graphs
U.03. Identify the correct tally chart
U.04. Interpret tally charts
U.05. Identify the correct table
U.06. Interpret data in tables
U.07. Interpret bar graphs: find the total in a category
U.08. Interpret bar graphs: compare categories
U.09. Identify the correct bar graph
U.10. Construct simple bar graphs and pictographs from given data

V. Sorting, Ordering and Classifying

W. Patterns

W.01. Recognize patterns
W.02. Find the next shape in a pattern
W.03. Complete a pattern
W.04. Make a pattern
W.05. Recognize growing patterns
W.06. Find the next shape in a growing pattern
W.07. Find the next row in a growing pattern
W.08. Describe the rule governing a pattern
W.09. Extend patterns to predict future elements
W.10. Create and represent patterns using numbers, shapes, and objects

X. Probability

Y. Counting forward

Y.01. Counting forward
Y.02. Counting backward
Y.03. Number lines
Y.04. Counting on the hundred chart
Y.05. Hundred chart
Y.06. Even or odd
Y.07. Identify numbers as even or odd
Y.08. Even or odd numbers on number lines
Y.09. Which even or odd number comes before or after?
Y.10. Count equal groups
Y.11. Solve word problems using repeated addition – sums to 25
Y.12. Divide by counting equal groups

Course Content

A. Counting and Number Recognition

A.01. Recognize and name numbers up to 10

A.02. Count objects up to 10 and match the count to the numeral.

A.03. Identify numbers as even or odd

A.04. Count objects up to 20.

A.05. Count to fill a ten frame

A.06. Count on ten frames – up to 40

A.07. Writing numbers in words – convert digits to words

A.08. Counting – up to 100

A.09. Counting – up to 120

A.10. Writing numbers in words – convert words to digits

A.11. Solve problems using ordinal numbers

A.12. Identify and use Roman numerals I, V, and X.

B. Comparing and Ordering Numbers

B.01. Compare numbers up to 10 using words like “greater than,” “less than,” or “equal to.”

B.02. Order objects: length and height

B.03. Use symbols (, =) to compare numbers up to 10.

B.04. Compare numbers up to 120 using words.

B.05. Use symbols (, =) to compare numbers up to 120.

B.06. Put numbers in order

B.07. Solve comparison word problems

B.08. Estimate to the nearest ten

B.09. Comparing – review

C. Place Value

C.01. Identify tens and ones using place value models.

C.02. Write tens and ones – up to 30

C.03. Write numbers up to 30 as tens and ones.

C.04. Write tens and ones – up to 100

C.05. Represent numbers up to 100 using place value models.

C.06. Write numbers up to 100 as tens and ones.

C.07. Understand place value models – up to hundreds

C.08. Explore place value models – up to thousands

C.09. Apply understanding of place value to solve real-world problems involving quantity

D. Addition: Foundations

D.01. Add with cubes – sums up to 10

D.02. Represent addition with pictures – sums up to 10

D.03. Identify the addition sentence that matches a model (sums up to 10).

D.04. Determine what an addition model shows (sums up to 10).

D.05. Addition sentences up to 10 – which model matches?

D.06. Addition sentences up to 10 – what does the model show?

D.07. Use number lines to solve addition sentences – sums up to 10

D.08. Understand the relationship between addition and combining sets.

D.09. Make teen numbers with models: addition sentences

D.10. Take apart teen numbers with models: addition sentences

D.11. Make and take apart teen numbers with models: addition sentences

D.12. Apply addition skills to solve basic word problems.

E. Addition: Skill Builders

E.01. Adding 0

E.02. Adding 1

E.03. Adding 2

E.04. Adding 3

E.05. Adding 4

E.06. Adding 5

E.07. Adding 6

E.08. Adding 7

E.09. Adding 8

E.10. Adding 9

E.11. Adding 10

E.12. Practice addition facts to build fluency.

F. Addition: Facts and Strategies

F.01. Recall addition facts – sums up to 10

F.02. Complete the addition sentence – sums up to 10

F.03. Make a number using addition – sums up to 10

F.04. Identify different ways to make a number using addition – sums up to 10

F.05. Solve addition word problems with pictures – sums up to 10

F.06. Solve addition word problems – sums up to 10

F.07. Addition sentences for word problems – sums up to 10

F.08. Recall addition facts – sums up to 20

F.09. Complete the addition sentence – sums up to 20

F.10. Use number lines to solve addition sentences – sums up to 20

F.11. Solve addition word problems – sums up to 20

F.12. Addition sentences for word problems – sums up to 20

F.13. Identify related addition facts

F.14. Determine if addition sentences are true or false

F.15. Use models to add a one-digit number and a two-digit number – without regrouping

F.16. Add a one-digit number to a two-digit number – without regrouping

F.17. Use models to add a two-digit and a one-digit number – with regrouping

F.18. Add a one-digit number to a two-digit number – with regrouping

F.19. Apply addition properties (commutative, associative) to simplify calculations.