NEW ZEALAND MATH YEAR 3 – EDmama New Zealand

A. Counting and Number Recognition

A.05. Use number lines to represent numbers up to 100 and 1000.
A.06. Identify and extend counting patterns up to 100.
A.07. Identify and extend counting patterns up to 1000.
A.08. Solve skip-counting puzzles and number stories.
A.09. Apply skip-counting to solve real-world problems.
A.10. Develop mental math strategies for counting in various scenarios
A.01. Recognize and identify numbers up to 1000.
A.02. Count forward and backward within 1000.
A.03. Identify even and odd numbers.
A.04. Determine which even or odd number comes before or after a given number.

B. Comparing and Ordering Numbers

C. Place Value

C.01. Identify place value models representing tens and ones.
C.02. Identify place value models representing hundreds, tens, and ones.
C.03. Identify place value models representing thousands, hundreds, tens, and ones.
C.04. Determine the value of a digit in the tens and ones place.
C.05. Determine the value of a digit in the hundreds, tens, and ones place.
C.06. Determine the value of a digit in the thousands, hundreds, tens, and ones place.
C.07. Regroup tens and ones to represent a number in different ways.
C.08. Use regrouping to find different combinations of tens and ones for a given number.
C.09. Convert between a number and its representation in tens and ones.
C.10. Convert between a number and its representation in hundreds, tens, and ones.
C.11. Convert between a number and its representation in thousands, hundreds, tens, and ones.
C.12. Convert between different place values within thousands (e.g., 10 tens = 1 hundred).
C.13. Convert numbers from expanded form (up to hundreds) to standard form.
C.14. Convert numbers from expanded form (up to thousands) to standard form.
C.15. Identify a specific digit in a number up to the hundreds place based on its place value.
C.16. Apply place value understanding to solve real-world problems.

D. Addition – One Digit

D.01. Review addition of one-digit numbers with sums up to 10.
D.02. Review different ways to make a number by adding one-digit numbers with sums up to 10.
D.03. Review writing addition sentences for sums up to 10.
D.04. Add doubles of one-digit numbers.
D.05. Add any two one-digit numbers.
D.06. Solve addition problems with pictures, where sums are up to 20.
D.07. Write addition sentences to describe pictures with sums up to 20.
D.08. Complete addition input/output tables for sums up to 20.
D.09. Understand the additive identity property by adding zero to a number.
D.10. Solve one-digit addition word problems.
D.11. Complete one-digit addition sentences by finding the missing addend.
D.12. Write the addition sentence for a given scenario.
D.13. Balance one-digit addition equations by finding the missing value.
D.14. Add three or more one-digit numbers.
D.15. Solve word problems involving the addition of three or more one-digit numbers.
D.16. Identify repeated addition represented by arrays with sums up to 10.
D.17. Write addition sentences for arrays with sums up to 10.
D.18. Identify repeated addition represented by arrays with sums up to 25.
D.19. Write addition sentences for arrays with sums up to 25.
D.20. Create visual representations of one-digit addition problems.

E. Subtraction – One Digit

E.01. Review subtraction of one-digit numbers from numbers up to 10.
E.02. Review different ways to subtract one-digit numbers from numbers up to 10.
E.03. Review writing subtraction sentences for differences up to 10.
E.04. Subtract doubles of one-digit numbers from themselves.
E.05. Subtract a one-digit number from a two-digit number up to 18.
E.06. Solve subtraction problems with pictures.
E.07. Write subtraction sentences to describe pictures.
E.08. Complete subtraction input/output tables for numbers up to 18.
E.09. Understand the properties of subtracting zero and subtracting a number from itself.
E.10. Solve subtraction word problems with numbers up to 18.
E.11. Complete subtraction sentences with numbers up to 18 by finding the missing subtrahend or minuend.
E.12. Write the subtraction sentence for a given scenario.
E.13. Balance subtraction equations with numbers up to 18 by finding the missing value.
E.14. Apply one-digit subtraction to solve practical problems.

F. Addition – Two Digit

F.01. Add multiples of 10 (e.g., 20 + 30).
F.02. Add a two-digit and a one-digit number without regrouping.
F.03. Add a two-digit and a one-digit number with regrouping.
F.04. Add two two-digit numbers without regrouping.
F.05. Add two two-digit numbers with regrouping.
F.06. Complete addition input/output tables with numbers up to two digits.
F.07. Find different combinations of two-digit numbers that add up to a specific number.
F.08. Solve addition word problems with numbers up to two digits.
F.09. Complete addition sentences with numbers up to two digits by finding the missing addend.
F.10. Write the addition sentence for a given scenario with two-digit numbers.
F.11. Balance addition equations with numbers up to two digits by finding the missing value.
F.12. Add three or more numbers up to two digits each.
F.13. Solve word problems involving the addition of three or more numbers up to two digits.
F.14. Estimate sums of two-digit numbers using rounding.

G. Subtraction – Two Digit

G.01. Subtract multiples of 10 (e.g., 50 – 20).
G.02. Subtract a one-digit number from a two-digit number without regrouping.
G.03. Subtract a one-digit number from a two-digit number with regrouping.
G.04. Subtract two two-digit numbers without regrouping.
G.05. Subtract two two-digit numbers with regrouping.
G.06. Complete subtraction input/output tables for numbers up to two digits.
G.07. Find different ways to make a number using subtraction with numbers up to two digits.
G.08. Solve subtraction word problems with numbers up to two digits.
G.09. Complete subtraction sentences with numbers up to two digits by finding the missing subtrahend or minuend.
G.10. Write the subtraction sentence for a given scenario involving two-digit subtraction.
G.11. Balance subtraction equations with numbers up to two digits by finding the missing value.
G.12. Model two-digit subtraction using base-ten blocks.

H. Addition – Three Digit

H.01. Add multiples of 100 (e.g., 200 + 300).
H.02. Add three-digit numbers.
H.03. Complete addition input/output tables with numbers up to three digits.
H.04. Solve addition word problems with numbers up to three digits.
H.05. Complete addition sentences with numbers up to three digits by finding the missing addend.
H.06. Write the addition sentence for a given scenario with three-digit numbers.
H.07. Balance addition equations with numbers up to three digits by finding the missing value.
H.08. Apply estimation strategies to predict the reasonableness of three-digit addition results.

I. Subtraction – Three Digit

I.01. Subtract multiples of 100 (e.g., 500 – 200).
I.02. Subtract three-digit numbers.
I.03. Complete subtraction input/output tables for numbers up to three digits.
I.04. Solve subtraction word problems with numbers up to three digits.
I.05. Complete subtraction sentences with numbers up to three digits by finding the missing subtrahend or minuend.
I.06. Write the subtraction sentence for a given scenario with three-digit numbers.
I.07. Balance subtraction equations with numbers up to three digits by finding the missing value.
I.08. Check the accuracy of three-digit subtraction using addition.

J. Mixed Operations

J.01. Add and subtract numbers up to 20.
J.02. Find different ways to make a number using addition and subtraction with numbers up to 20.
J.03. Solve addition and subtraction word problems with numbers up to 20.
J.04. Balance addition and subtraction equations with numbers up to 20.
J.05. Write the addition or subtraction rule for an input/output table with numbers up to 20.
J.06. Add and subtract numbers up to 100.
J.07. Find different ways to make a number using addition and subtraction with numbers up to 100.
J.08. Solve addition and subtraction word problems with numbers up to 100.
J.09. Balance addition and subtraction equations with numbers up to 100.
J.10. Write the addition or subtraction rule for an input/output table with numbers up to 100.
J.11. Determine which sign (+ or -) makes a number sentence true with numbers up to 100.
J.12. Write addition and subtraction sentences with numbers up to 100.
J.13. Solve inequalities involving addition and subtraction with numbers up to 100.
J.14. Create and solve mixed operation problems involving addition and subtraction.

K. Names of Numbers

L. Properties of Operations

L.01. Identify and apply the properties of addition (commutative, associative, identity).
L.02. Use properties of addition to simplify calculations.
L.03. Identify related addition facts (e.g., if 2+3=5, then 3+2=5).
L.04. Identify related subtraction facts (e.g., if 5-2=3, then 5-3=2).
L.05. Recognize and use fact families (related addition and subtraction facts).
L.06. Understand the basic properties of multiplication (commutative, associative, identity).
L.07. Identify and define addition, subtraction, multiplication, and division terms (e.g., sum, difference, product, quotient).
L.08. Apply addition and subtraction shortcuts to solve inequalities.

M. Estimation and Rounding

M.01. Estimate a number to the nearest ten.
M.02. Round an amount of money to the nearest ten cents.
M.03. Solve word problems involving rounding money to the nearest ten cents.
M.04. Round a number to the nearest ten.
M.05. Round a number to the nearest ten or hundred.
M.06. Round a number to the nearest ten, hundred, or thousand.
M.07. Estimate sums by rounding addends.
M.08. Estimate differences by rounding numbers.
M.09. Apply rounding and estimation strategies to real-world scenarios.

N. Multiplication

N.01. Multiply numbers by 2.
N.02. Multiply numbers by 3.
N.03. Multiply numbers by 5.
N.04. Multiply numbers by 10.
N.05. Write multiplication sentences to represent repeated addition.
N.06. Recall multiplication facts for 2, 3, and 4.
N.07. Recall multiplication facts up to 5.
N.08. Recall multiplication facts for 2, 3, 4, 5, and 10.
N.09. Recall multiplication facts for 6, 7, 8, and 9.
N.10. Recall multiplication facts up to 10.
N.11. Use arrays to model multiplication problems.

O. Division

O.01. Divide numbers by 2.
O.02. Divide numbers by 3.
O.03. Divide numbers by 5.
O.04. Divide numbers by 10.
O.05. Identify divisors and quotients up to 5.
O.06. Identify divisors and quotients up to 10.
O.07. Recognize division patterns over increasing place values.
O.08. Divide numbers ending in zeroes by single-digit numbers.
O.09. Complete division tables.
O.10. Relate multiplication and division as inverse operations.

P. Patterns

Q. Time

Q.01. Match analogue clocks and times.
Q.02. Match digital clocks and times.
Q.03. Match analogue and digital clocks showing the same time.
Q.04. Read clocks and write times to the nearest minute.
Q.05. Understand and use time-related words: o’clock, half past, quarter past, quarter to.
Q.06. Distinguish between A.M. and P.M.
Q.07. Compare different times.
Q.08. Calculate elapsed time in hours.
Q.09. Calculate elapsed time in hours and minutes.
Q.10. Identify and extend time patterns.
Q.11. Relate different units of time (seconds, minutes, hours, days, weeks, months, years).
Q.12. Identify the four seasons.
Q.13. Know the days of the week.
Q.14. Know the months of the year.
Q.15. Know the number of days in each month.
Q.16. Read and interpret a calendar.
Q.17. Solve real-world problems involving time.

R. Money

R.01. Identify the value of different coins.
R.02. Count money up to $1.
R.03. Count money up to $5.
R.04. Determine equivalent amounts of money up to $1.
R.05. Determine equivalent amounts of money up to $5.
R.06. Exchange coins for other coins of equivalent value.
R.07. Compare different groups of coins to determine which is worth more.
R.08. Add and subtract money amounts up to $1.
R.09. Solve word problems involving addition and subtraction of money up to $1.
R.10. Solve word problems involving addition and subtraction of money up to $5.
R.11. Determine which picture shows more money up to $1.
R.12. Determine which picture shows more money up to $5.
R.13. Find the least number of coins needed to make a specific amount.
R.14. Determine if you have enough money to make a purchase up to $1.
R.15. Determine if you have enough money to make a purchase up to $5.
R.16. Calculate how much more money is needed to make a dollar.
R.17. Calculate the amount of change received from a purchase.
R.18. Plan and manage a budget using addition, subtraction, and basic multiplication.

S. Data and Graphs

S.01. Identify the correct tally chart for a given data set.
S.02. Interpret information presented in tally charts.
S.03. Interpret information presented in bar graphs.
S.04. Identify the correct bar graph for a given data set.
S.05. Interpret information presented in line plots.
S.06. Create line plots to represent data.
S.07. Interpret information presented in pictographs with a scale of 1.
S.08. Interpret information presented in pictographs with a scale greater than 1.
S.09. Create pictographs to represent data.
S.10. Interpret information presented in line graphs.
S.11. Identify the correct line graph for a given data set.
S.12. Sort shapes into a Venn diagram based on their attributes.
S.13. Count the number of shapes in each section of a Venn diagram.
S.14. Collect and organize data using various methods.

T. Units of Measurement

T.01. Compare objects based on length (long and short).
T.02. Compare objects based on height (tall and short).
T.03. Compare objects based on weight (light and heavy).
T.04. Compare containers based on capacity (holds more or less).
T.05. Compare objects based on size, weight, and capacity.
T.06. Read a thermometer to determine temperature in Celsius or Fahrenheit.
T.07. Measure the length of objects using a centimetre ruler.
T.08. Measure objects to compare their lengths in centimetres.
T.09. Compare lengths using metric units (centimetres, meters).
T.10. Determine which metric unit of length is appropriate for measuring a given object.
T.11. Solve word problems involving metric units of length.
T.12. Determine which metric unit of mass is appropriate for measuring a given object.
T.13. Determine which metric unit of volume is appropriate for measuring a given object.
T.14. Compare and convert metric units of volume (e.g., millilitres and litres).
T.15. Compare and convert metric units of mass (e.g., grams and kilograms).
T.16. Choose the appropriate measuring tool for a given task.
T.17. Estimate measurements using benchmarks.

U. Two-Dimensional Shapes

U.09. Identify lines of symmetry in two-dimensional shapes.
U.10. Classify two-dimensional shapes based on their properties.
U.01. Identify rectangles.
U.02. Name common two-dimensional shapes (e.g., square, circle, triangle).
U.03. Select specific two-dimensional shapes from a group.
U.04. Count the number of sides and vertices (corners) of a two-dimensional shape.
U.05. Compare the number of sides and vertices of different two-dimensional shapes.
U.06. Compose new two-dimensional shapes by combining other shapes.
U.07. Recognize and perform flips, turns, and slides (transformations) of two-dimensional shapes.
U.08. Identify congruent shapes (shapes that are the same size and shape).

V. Three-Dimensional Shapes

V.01. Name common three-dimensional shapes (e.g., cube, sphere, cone, cylinder).
V.02. Select specific three-dimensional shapes from a group.
V.03. Count the number of vertices, edges, and faces of a three-dimensional shape.
V.04. Compare the number of vertices, edges, and faces of different three-dimensional shapes.
V.05. Identify the two-dimensional shapes that are traced from the faces of three-dimensional shapes.
V.06. Identify the faces of three-dimensional shapes.
V.07. Identify real-world objects that resemble three-dimensional shapes.
V.08. Categorize three-dimensional shapes based on their characteristics.

W. Geometric Measurement

X. Fractions

X.01. Identify equal parts of a whole.
X.02. Recognize and name halves, thirds, and quarters (fourths) of a whole.
X.03. Identify the fraction that represents a shaded part of a shape.
X.04. Select the shape that illustrates a given fraction.
X.05. Decompose fractions into unit fractions (e.g., 3/4 = 1/4 + 1/4 + 1/4).
X.06. Determine the fraction of a group of objects.
X.07. Solve word problems involving unit fractions.
X.08. Model word problems involving unit fractions using diagrams.
X.09. Model word problems involving fractions of a whole using diagrams.
X.10. Solve word problems involving fractions of a whole.
X.11. Solve word problems involving fractions of a group.
X.12. Compare fractions using visual models.
X.13. Order fractions with like denominators.
X.14. Order fractions with like numerators.
X.15. Add fractions with the same denominator using bar models.
X.16. Relate fractions to everyday situations.

Course Content

A. Counting and Number Recognition

A.05. Use number lines to represent numbers up to 100 and 1000.

A.06. Identify and extend counting patterns up to 100.

A.07. Identify and extend counting patterns up to 1000.

A.08. Solve skip-counting puzzles and number stories.

A.09. Apply skip-counting to solve real-world problems.

A.10. Develop mental math strategies for counting in various scenarios

A.01. Recognize and identify numbers up to 1000.

A.02. Count forward and backward within 1000.

A.03. Identify even and odd numbers.

A.04. Determine which even or odd number comes before or after a given number.

B. Comparing and Ordering Numbers

B.01. Compare two numbers up to 100 using comparison symbols (>, <, =).

B.02. Compare two numbers up to 1000 using comparison symbols (>, <, =).

B.03. Arrange numbers up to 100 in ascending or descending order.

B.04. Arrange numbers up to 1000 in ascending or descending order.

B.05. Solve word problems involving greatest and least values up to 100.

B.06. Solve word problems involving greatest and least values up to 1000.

B.07. Justify the order of numbers based on their place value.

C. Place Value

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

C.02. Identify place value models representing hundreds, tens, and ones.

C.03. Identify place value models representing thousands, hundreds, tens, and ones.

C.04. Determine the value of a digit in the tens and ones place.

C.05. Determine the value of a digit in the hundreds, tens, and ones place.

C.06. Determine the value of a digit in the thousands, hundreds, tens, and ones place.

C.07. Regroup tens and ones to represent a number in different ways.

C.08. Use regrouping to find different combinations of tens and ones for a given number.

C.09. Convert between a number and its representation in tens and ones.

C.10. Convert between a number and its representation in hundreds, tens, and ones.

C.11. Convert between a number and its representation in thousands, hundreds, tens, and ones.

C.12. Convert between different place values within thousands (e.g., 10 tens = 1 hundred).

C.13. Convert numbers from expanded form (up to hundreds) to standard form.

C.14. Convert numbers from expanded form (up to thousands) to standard form.

C.15. Identify a specific digit in a number up to the hundreds place based on its place value.

C.16. Apply place value understanding to solve real-world problems.

D. Addition – One Digit

D.01. Review addition of one-digit numbers with sums up to 10.

D.02. Review different ways to make a number by adding one-digit numbers with sums up to 10.

D.03. Review writing addition sentences for sums up to 10.

D.04. Add doubles of one-digit numbers.

D.05. Add any two one-digit numbers.

D.06. Solve addition problems with pictures, where sums are up to 20.

D.07. Write addition sentences to describe pictures with sums up to 20.

D.08. Complete addition input/output tables for sums up to 20.

D.09. Understand the additive identity property by adding zero to a number.

D.10. Solve one-digit addition word problems.

D.11. Complete one-digit addition sentences by finding the missing addend.

D.12. Write the addition sentence for a given scenario.

D.13. Balance one-digit addition equations by finding the missing value.

D.14. Add three or more one-digit numbers.

D.15. Solve word problems involving the addition of three or more one-digit numbers.

D.16. Identify repeated addition represented by arrays with sums up to 10.

D.17. Write addition sentences for arrays with sums up to 10.

D.18. Identify repeated addition represented by arrays with sums up to 25.

D.19. Write addition sentences for arrays with sums up to 25.

D.20. Create visual representations of one-digit addition problems.

E. Subtraction – One Digit

E.01. Review subtraction of one-digit numbers from numbers up to 10.

E.02. Review different ways to subtract one-digit numbers from numbers up to 10.

E.03. Review writing subtraction sentences for differences up to 10.

E.04. Subtract doubles of one-digit numbers from themselves.

E.05. Subtract a one-digit number from a two-digit number up to 18.

E.06. Solve subtraction problems with pictures.

E.07. Write subtraction sentences to describe pictures.

E.08. Complete subtraction input/output tables for numbers up to 18.

E.09. Understand the properties of subtracting zero and subtracting a number from itself.

E.10. Solve subtraction word problems with numbers up to 18.

E.11. Complete subtraction sentences with numbers up to 18 by finding the missing subtrahend or minuend.

E.12. Write the subtraction sentence for a given scenario.

E.13. Balance subtraction equations with numbers up to 18 by finding the missing value.

E.14. Apply one-digit subtraction to solve practical problems.

F. Addition – Two Digit

F.01. Add multiples of 10 (e.g., 20 + 30).

F.02. Add a two-digit and a one-digit number without regrouping.

F.03. Add a two-digit and a one-digit number with regrouping.

F.04. Add two two-digit numbers without regrouping.

F.05. Add two two-digit numbers with regrouping.

F.06. Complete addition input/output tables with numbers up to two digits.