NEW ZEALAND MATH YEAR 4 – EDmama New Zealand

A. Even and Odd Numbers

A.01. Identify even and odd numbers within a given range.
A.02. Determine if a number is even or odd.
A.03. Apply arithmetic rules to determine if the sum or product of numbers will be even or odd.
A.04. Solve puzzles involving skip-counting with even and odd numbers.
A.05. Investigate patterns of even and odd numbers in number sequences.
A.06. Explain why certain arithmetic rules for even and odd numbers are true.

B. Place Value Foundations

B.01. Recognize and represent place value using models up to the thousands place.
B.02. Identify the place value of digits up to the hundreds place.
B.03. Identify the place value of digits up to the thousands place.
B.04. Determine the value of a digit in a number up to the thousands place.
B.05. Convert numbers to and from their numerical representation.
B.06. Convert between different place values within a number.
B.07. Convert numbers from expanded form to standard form.
B.08. Convert numbers between standard and expanded form.
B.09. Solve word problems involving place value concepts.
B.10. Compare and contrast place value systems in different cultures.

C. Addition Fundamentals

C.01. Add two numbers up to three digits.
C.02. Complete addition input/output tables with numbers up to three digits.
C.03. Solve word problems involving the addition of two numbers up to three digits.
C.04. Complete addition sentences with missing addends (up to three digits).
C.05. Balance addition equations (up to three digits).
C.06. Add three or more numbers, each up to three digits.
C.07. Solve word problems involving the addition of three or more numbers (up to three digits each).
C.08. Identify and extend addition patterns across increasing place values.
C.09. Add two numbers with four or more digits.
C.10. Complete addition input/output tables with numbers of four or more digits.
C.11. Solve word problems involving the addition of two numbers with four or more digits.
C.12. Complete addition sentences with missing addends (four or more digits).
C.13. Balance addition equations (four or more digits).
C.14. Add three or more numbers with four or more digits.
C.15. Solve word problems involving the addition of three or more numbers (four or more digits each).
C.16. Determine missing digits in addition problems with multi-digit numbers.
C.17. Create and solve complex addition problems with real-world applications.

D. Subtraction Basics

D.01. Subtract numbers up to three digits.
D.02. Complete subtraction input/output tables with numbers up to three digits.
D.03. Solve word problems involving the subtraction of numbers up to three digits.
D.04. Complete subtraction sentences with missing subtrahends or minuends (up to three digits).
D.05. Balance subtraction equations (up to three digits).
D.06. Identify and extend subtraction patterns across increasing place values.
D.07. Subtract numbers with four or more digits.
D.08. Complete subtraction input/output tables with numbers of four or more digits.
D.09. Determine missing digits in subtraction problems with multi-digit numbers.
D.10. Apply subtraction to solve multi-step problems involving addition and subtraction.

E. Multiplication Concepts

F. Division Concepts

G. Multiplication Facts Fluency (Up to 10)

G.01. Multiply numbers by 0.
G.02. Multiply numbers by 1.
G.03. Multiply numbers by 2.
G.04. Multiply numbers by 3.
G.05. Multiply numbers by 4.
G.06. Multiply numbers by 5.
G.07. Multiply numbers by 6.
G.08. Multiply numbers by 7.
G.09. Multiply numbers by 8.
G.10. Multiply numbers by 9.
G.11. Multiply numbers by 10.
G.12. Recall multiplication facts for 2, 3, 4, 5, and 10.
G.13. Determine the truth or falsity of multiplication facts for 2, 3, 4, 5, and 10.
G.14. Sort multiplication facts for 2, 3, 4, 5, and 10.
G.15. Recall multiplication facts for 6, 7, 8, and 9.
G.16. Determine the truth or falsity of multiplication facts for 6, 7, 8, and 9.
G.17. Sort multiplication facts for 6, 7, 8, and 9.
G.18. Recall multiplication facts up to 10.
G.19. Determine the truth or falsity of multiplication facts up to 10.
G.20. Sort multiplication facts up to 10.
G.21. Determine the truth or falsity of multiplication sentences up to 10.
G.22. Complete multiplication input/output tables.
G.23. Identify squares of numbers up to 10.
G.24. Find the missing factor in multiplication facts up to 10.
G.25. Solve word problems involving multiplication facts up to 10.
G.26. Solve word problems involving finding the missing factor in multiplication facts up to 10.
G.27. Apply multiplication facts to solve real-world problems involving equal groups.

H. Division Facts Fluency (Up to 10)

H.07. Divide numbers by 7.
H.08. Divide numbers by 8.
H.09. Divide numbers by 9.
H.10. Divide numbers by 10.
H.11. Recall division facts up to 5.
H.12. Determine the truth or falsity of division facts for 2, 3, 4, 5, and 10.
H.13. Sort division facts for 2, 3, 4, 5, and 10.
H.14. Determine the truth or falsity of division facts for 6, 7, 8, and 9.
H.15. Sort division facts for 6, 7, 8, and 9.
H.16. Recall division facts up to 10.
H.17. Determine the truth or falsity of division facts up to 10.
H.18. Sort division facts up to 10.
H.19. Determine the truth or falsity of division sentences up to 10.
H.20. Complete division input/output tables.
H.21. Find the missing number in division facts up to 10.
H.22. Solve word problems involving division facts up to 10.
H.23. Apply division facts to solve problems involving equal sharing and grouping.
H.01. Divide numbers by 1.
H.02. Divide numbers by 2.
H.03. Divide numbers by 3.
H.04. Divide numbers by 4.
H.05. Divide numbers by 5.
H.06. Divide numbers by 6.

I. Number Patterns

J. Comparing and Ordering Numbers

K. Roman Numerals

L. Estimation and Rounding

L.01. Round whole numbers to the nearest ten, hundred, or thousand.
L.02. Round decimals to the nearest whole number.
L.03. Round money amounts to the nearest ten cents.
L.04. Solve word problems involving rounding to the nearest ten cents.
L.05. Round money amounts to the nearest dollar.
L.06. Solve rounding puzzles.
L.07. Solve inequalities using estimation.
L.08. Estimate sums of whole numbers and decimals.
L.09. Solve word problems involving estimation of sums.
L.10. Estimate differences of whole numbers and decimals.
L.11. Solve word problems involving estimation of differences.
L.12. Estimate products of whole numbers.
L.13. Solve word problems involving estimation of products.
L.14. Estimate quotients of whole numbers.
L.15. Solve word problems involving estimation of quotients.
L.16. Solve word problems involving estimation of sums, differences, products, and quotients.
L.17. Explain the benefits and limitations of using estimation in problem-solving.

M. Properties of Operations

N. Multiplication with Multi-Digit Numbers

N.01. Identify and extend multiplication patterns across increasing place values.
N.02. Multiply numbers ending in zeroes using mental math strategies.
N.03. Multiply one-digit numbers by teen numbers using grids.
N.04. Multiply one-digit numbers by two-digit numbers using area models I.
N.05. Multiply one-digit numbers by two-digit numbers using area models II.
N.06. Multiply one-digit numbers by two-digit numbers using standard algorithm.
N.07. Solve word problems involving multiplication of one-digit numbers by two-digit numbers.
N.08. Multiply multi-digit numbers using the box multiplication method.
N.09. Multiply multi-digit numbers using the lattice multiplication method.
N.10. Compare and contrast different multiplication methods.
N.11. Estimate products of multi-digit numbers to check for reasonableness.

O. Division with Multi-Digit Numbers

O.01. Identify and extend division patterns across increasing place values.
O.02. Divide numbers ending in zeroes using mental math strategies.
O.03. Apply divisibility rules for 2, 5, and 10 to simplify division problems.
O.04. Divide two-digit numbers by one-digit numbers using area models.
O.05. Divide two-digit numbers by one-digit numbers using standard algorithm.
O.06. Divide three-digit numbers by one-digit numbers using area models.
O.07. Divide three-digit numbers by one-digit numbers using standard algorithm.
O.08. Complete division tables with missing dividends, divisors, or quotients.
O.09. Interpret remainders in division problems and express them appropriately.
O.10. Apply division to solve real-world problems involving equal sharing and grouping.

P. Mixed Operations

P.01. Recall and apply addition, subtraction, multiplication, and division facts.
P.02. Complete addition, subtraction, multiplication, or division sentences with missing numbers.
P.03. Determine the truth or falsity of multiplication and division facts up to 5.
P.04. Determine the truth or falsity of multiplication and division facts up to 10.
P.05. Determine the truth or falsity of multiplication and division facts up to 12.
P.06. Determine the truth or falsity of multiplication and division sentences up to 12.
P.07. Solve problems involving addition, subtraction, multiplication, and division.
P.08. Solve word problems involving addition, subtraction, multiplication, and division.
P.09. Add and subtract data from tables.
P.10. Solve multi-step word problems involving mixed operations.
P.11. Determine missing operators in mathematical sentences.
P.12. Create and solve complex problems involving multiple steps and mixed operations.

Q. Money Matters

Q.01. Count collections of coins and notes up to $5.
Q.02. Compare the value of two different sets of coins and notes.
Q.03. Determine if you have enough money to make a purchase up to $10.
Q.04. Calculate the amount of change you should receive after a purchase.
Q.05. Solve inequalities involving money amounts.
Q.06. Arrange money amounts in ascending or descending order.
Q.07. Add and subtract money amounts.
Q.08. Solve word problems involving addition of money amounts.
Q.09. Interpret and use price lists.
Q.10. Apply budgeting skills to make informed purchasing decisions.

R. Time

R.01. Match analogue clocks with corresponding times.
R.02. Match analogue and digital clocks showing the same time.
R.03. Read analogue clocks and write the corresponding times.
R.04. Differentiate between A.M. and P.M. times.
R.05. Write times in digital format.
R.06. Calculate elapsed time.
R.07. Solve word problems involving elapsed time.
R.08. Identify and extend time patterns.
R.09. Relate different units of time (seconds, minutes, hours, days, weeks, months, years).
R.10. Convert between hours and fractions of hours.
R.11. Read and interpret a calendar.
R.12. Read and interpret schedules.
R.13. Interpret and create timelines.
R.14. Understand the concept of time zones and their impact on scheduling.

S. Measurement Units

S.09. Compare and convert metric units of mass (mg, g, kg).
S.10. Select the appropriate metric unit of volume for a given measurement.
S.11. Compare and convert metric units of volume (mL, L).
S.12. Use conversion tables to convert between different units of measurement.
S.13. Interpret map distances using scales.
S.14. Estimate measurements using benchmarks and reference points.
S.01. Read a thermometer to determine temperature in Celsius or Fahrenheit.
S.02. Determine reasonable temperatures for common objects and situations.
S.03. Measure length using a centimetre ruler.
S.04. Select the appropriate metric unit of length for a given measurement.
S.05. Compare and convert metric units of length (mm, cm, m, km).
S.06. Solve problems involving metric mixed units (e.g., 1 m 25 cm).
S.07. Add and subtract metric mixed units.
S.08. Select the appropriate metric unit of mass for a given measurement.

T. Geometric Shapes

T.01. Identify two-dimensional shapes (e.g., squares, circles, triangles, rectangles).
T.02. Count and compare the number of sides and vertices of two-dimensional shapes.
T.03. Identify three-dimensional shapes (e.g., cubes, spheres, cones, cylinders).
T.04. Count the number of vertices, edges, and faces of three-dimensional shapes.
T.05. Identify the faces of three-dimensional shapes.
T.06. Recognize and create nets of three-dimensional figures.
T.07. Determine whether a shape is a polygon.
T.08. Differentiate between lines, line segments, and rays.
T.09. Identify angles as greater than, less than, or equal to a right angle.
T.10. Estimate angle measurements in degrees.
T.11. Classify triangles as acute, obtuse, or right.
T.12. Classify triangles as scalene, isosceles, or equilateral.
T.13. Identify and perform reflection, rotation, and translation transformations.
T.14. Identify congruent shapes.
T.15. Determine if a shape has rotational symmetry.
T.16. Identify lines of symmetry in two-dimensional shapes.
T.17. Describe the properties of different types of quadrilaterals (e.g., parallelograms, trapezoids).

U. Geometric Measurement

U.01. Calculate the perimeter of rectangles.
U.02. Calculate the perimeter of polygons.
U.03. Calculate the perimeter of rectilinear shapes.
U.04. Determine the missing side length of a polygon given its perimeter.
U.05. Find the area of figures made of unit squares.
U.06. Select figures with a given area.
U.07. Select two figures with the same area.
U.08. Create figures with a given area.
U.09. Find the area of rectangles and squares.
U.10. Find the missing side length of a rectangle given its area.
U.11. Determine the volume of rectangular prisms.
U.12. Differentiate between perimeter, area, and volume.
U.13. Apply measurement concepts to solve real-world problems involving geometry.

V. Data Representation and Interpretation

V.01. Interpret information presented in frequency charts.
V.02. Create frequency charts from raw data.
V.03. Interpret data presented in bar graphs.
V.04. Create bar graphs from data.
V.05. Interpret data presented in line plots.
V.06. Create line plots from data.
V.07. Interpret data presented in pictographs.
V.08. Create pictographs from data.
V.09. Interpret data presented in line graphs.
V.10. Create line graphs from data.
V.11. Sort shapes into a Venn diagram based on their attributes.
V.12. Count the number of shapes in each section of a Venn diagram.
V.13. Analyze and draw conclusions from data presented in various graphical formats.

W. Understanding Fractions

W.01. Represent fractions using fraction bars.
W.02. Represent fractions using area models.
W.03. Review unit fractions (fractions with a numerator of 1).
W.04. Review basic fraction concepts (numerator, denominator, whole).
W.05. Show fractions using fraction bars.
W.06. Show fractions using area models.
W.07. Solve modeling word problems involving unit fractions.
W.08. Solve word problems involving unit fractions.
W.09. Solve modeling word problems involving fractions of a whole.
W.10. Solve word problems involving fractions of a whole.
W.11. Solve word problems involving fractions of a group.
W.12. Identify fractions on number lines (unit fractions).
W.13. Identify fractions on number lines.
W.14. Locate fractions on number lines.
W.15. Graph unit fractions on number lines.
W.16. Graph fractions on number lines.
W.17. Determine fractions of a number (unit fractions).
W.18. Determine fractions of a number.
W.19. Solve word problems involving fractions of a number (unit fractions).
W.20. Solve word problems involving fractions of a number.
W.21. Explain the relationship between fractions, decimals, and percentages.

X. Equivalent Fractions, Simplification and Comparison

X.01. Identify equivalent fractions using models.
X.02. Select equivalent fractions from a list.
X.03. Write fractions in lowest terms (simplifying fractions).
X.04. Convert between improper fractions and mixed numbers.
X.05. Graph and compare fractions with like numerators on number lines.
X.06. Graph and compare fractions with like denominators on number lines.
X.07. Graph and compare fractions on number lines.
X.08. Compare fractions using benchmark fractions (0, 1/2, 1).
X.09. Put fractions in order from least to greatest or greatest to least.
X.10. Explain different strategies for comparing fractions with unlike numerators and denominators.

Y. Adding and Subtracting Fractions

Z. Understanding Decimals

Z.01. Identify the decimal number represented by a visual model.
Z.02. Graph decimals on number lines.
Z.03. Locate decimals on number lines.
Z.04. Model the relationship between decimals and fractions.
Z.05. Graph fractions and mixed numbers as decimals on number lines.
Z.06. Convert between decimals and fractions.
Z.07. Compare decimals and fractions on number lines.
Z.08. Interpret decimals expressed in words.
Z.09. Identify and extend number sequences involving decimals.
Z.10. Solve inequalities involving decimals.
Z.11. Arrange decimal numbers in ascending or descending order.
Z.12. Add and subtract decimals.
Z.13. Solve word problems involving addition and subtraction of decimals.
Z.14. Add three or more decimal numbers.
Z.15. Apply decimal operations to solve problems involving money and measurement.

Course Content

A. Even and Odd Numbers

A.01. Identify even and odd numbers within a given range.

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

A.03. Apply arithmetic rules to determine if the sum or product of numbers will be even or odd.

A.04. Solve puzzles involving skip-counting with even and odd numbers.

A.05. Investigate patterns of even and odd numbers in number sequences.

A.06. Explain why certain arithmetic rules for even and odd numbers are true.

B. Place Value Foundations

B.01. Recognize and represent place value using models up to the thousands place.

B.02. Identify the place value of digits up to the hundreds place.

B.03. Identify the place value of digits up to the thousands place.

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

B.05. Convert numbers to and from their numerical representation.

B.06. Convert between different place values within a number.

B.07. Convert numbers from expanded form to standard form.

B.08. Convert numbers between standard and expanded form.

B.09. Solve word problems involving place value concepts.

B.10. Compare and contrast place value systems in different cultures.

C. Addition Fundamentals

C.01. Add two numbers up to three digits.

C.02. Complete addition input/output tables with numbers up to three digits.

C.03. Solve word problems involving the addition of two numbers up to three digits.

C.04. Complete addition sentences with missing addends (up to three digits).

C.05. Balance addition equations (up to three digits).

C.06. Add three or more numbers, each up to three digits.

C.07. Solve word problems involving the addition of three or more numbers (up to three digits each).

C.08. Identify and extend addition patterns across increasing place values.

C.09. Add two numbers with four or more digits.

C.10. Complete addition input/output tables with numbers of four or more digits.

C.11. Solve word problems involving the addition of two numbers with four or more digits.

C.12. Complete addition sentences with missing addends (four or more digits).

C.13. Balance addition equations (four or more digits).

C.14. Add three or more numbers with four or more digits.

C.15. Solve word problems involving the addition of three or more numbers (four or more digits each).

C.16. Determine missing digits in addition problems with multi-digit numbers.

C.17. Create and solve complex addition problems with real-world applications.

D. Subtraction Basics

D.01. Subtract numbers up to three digits.

D.02. Complete subtraction input/output tables with numbers up to three digits.

D.03. Solve word problems involving the subtraction of numbers up to three digits.

D.04. Complete subtraction sentences with missing subtrahends or minuends (up to three digits).

D.05. Balance subtraction equations (up to three digits).

D.06. Identify and extend subtraction patterns across increasing place values.

D.07. Subtract numbers with four or more digits.

D.08. Complete subtraction input/output tables with numbers of four or more digits.

D.09. Determine missing digits in subtraction problems with multi-digit numbers.

D.10. Apply subtraction to solve multi-step problems involving addition and subtraction.

E. Multiplication Concepts

E.01. Interpret and write multiplication sentences.

E.02. Relate addition to multiplication through repeated addition.

E.03. Represent multiplication through arrays and equal group models.

E.04. Explain the commutative property of multiplication using real-world examples.

F. Division Concepts

F.01. Relate multiplication and division as inverse operations.

F.02. Represent division through sharing and grouping models.

F.03. Explain the relationship between the dividend, divisor, and quotient.

F.04. Solve simple word problems involving division with remainders.

G. Multiplication Facts Fluency (Up to 10)

G.01. Multiply numbers by 0.

G.02. Multiply numbers by 1.

G.03. Multiply numbers by 2.

G.04. Multiply numbers by 3.

G.05. Multiply numbers by 4.

G.06. Multiply numbers by 5.

G.07. Multiply numbers by 6.

G.08. Multiply numbers by 7.

G.09. Multiply numbers by 8.

G.10. Multiply numbers by 9.

G.11. Multiply numbers by 10.

G.12. Recall multiplication facts for 2, 3, 4, 5, and 10.

G.13. Determine the truth or falsity of multiplication facts for 2, 3, 4, 5, and 10.

G.14. Sort multiplication facts for 2, 3, 4, 5, and 10.

G.15. Recall multiplication facts for 6, 7, 8, and 9.

G.16. Determine the truth or falsity of multiplication facts for 6, 7, 8, and 9.

G.17. Sort multiplication facts for 6, 7, 8, and 9.

G.18. Recall multiplication facts up to 10.

G.19. Determine the truth or falsity of multiplication facts up to 10.

G.20. Sort multiplication facts up to 10.

G.21. Determine the truth or falsity of multiplication sentences up to 10.