## Grade 3 math

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**A. Numbers and comparing: **

1 Skip-counting by twos

2 Skip-counting by fives

3 Skip-counting by tens

4 Skip-counting by fives and tens

5 Skip-counting by twos, fives and tens

6 Skip-counting stories

7 Skip-counting sequences

8 Count forward and backward by fives and tens

9 Count forward and backward by twos, fives and tens

10 Skip-counting puzzles

11 Number sequences

12 Even or odd

13 Even or odd: arithmetic rules

14 Prime and composite numbers

15 Ordinal numbers up to 100th

16 Number lines: up to 1000

17 Write numbers in words: up to 1000

18 Write numbers in words: up to 100 000

19 Roman numerals I, V, X, L, C, D, M

20 Comparing numbers: up to 1000

21 Comparing numbers: up to 100 000

22 Pick the greatest/least number: up to 1000

23 Pick the greatest/least number: up to 100 000

24 Put numbers up to 1000 in order

25 Put numbers up to 100 000 in order

**B. Place values: **

1 Place value models up to hundreds

2 Place value models up to thousands

3 Place value names up to hundreds

4 Place value names up to ten thousands

5 Value of a digit: up to hundreds

6 Value of a digit: up to ten thousands

7 Convert to/from a number: up to hundreds

8 Convert to/from a number: up to ten thousands

9 Convert between place values: up to hundreds

10 Convert between place values: up to ten thousands

11 Convert from expanded form: up to hundreds

12 Convert from expanded form: up to ten thousands

13 Convert between standard and expanded form: up to hundreds

14 Convert between standard and expanded form: up to ten thousands

15 Place value word problems: up to hundreds

16 Place value word problems: up to ten thousands

**C. Addition:**

1 Add one-digit numbers

2 Add two numbers up to two digits

3 Complete the addition sentence – up to two digits

4 Balance addition equations – up to two digits

5 Use models to add three-digit numbers – without regrouping

6 Use models to add three-digit numbers – with regrouping

7 Add two numbers up to three digits

8 Addition input/output tables – up to three digits

9 Add two numbers up to three digits – word problems

10 Complete the addition sentence – up to three digits

11 Balance addition equations – up to three digits

12 Add three or more numbers up to three digits each

13 Add three or more numbers up to three digits – word problems

14 Addition up to three digits: fill in the missing digits

15 Add two numbers up to four digits

16 Addition input/output tables – up to four digits

17 Add two numbers up to four digits – word problems

18 Complete the addition sentence – up to four digits

19 Balance equations up to four digits

20 Add three or more numbers up to four digits each

21 Add three or more numbers up to four digits – word problems

22 Addition up to four digits: fill in the missing digits

23 Addition patterns over increasing place values

24 Properties of addition

25 Add using properties

**D. Subtraction:**

1 Subtraction facts: up to 18

2 Subtract numbers up to two digits

3 Complete the subtraction sentence – up to two digits

4 Balance subtraction equations – up to two digits

5 Subtract numbers up to three digits

6 Subtraction input/output tables – up to three digits

7 Subtract numbers up to three digits – word problems

8 Complete the subtraction sentence – up to three digits

9 Balance subtraction equations – up to three digits

10 Subtraction up to three digits: fill in the missing digits

11 Subtract numbers up to four digits

12 Subtraction input/output tables – up to four digits

13 Complete the subtraction sentence – up to four digits

14 Subtraction up to four digits: fill in the missing digits

15 Subtraction patterns over increasing place values

**E. Understand multiplication:**

1 Count equal groups

2 Identify multiplication expressions for equal groups

3 Write multiplication sentences for equal groups

4 Relate addition and multiplication for equal groups

5 Identify multiplication expressions for arrays

6 Write multiplication sentences for arrays

7 Make arrays to model multiplication

8 Write multiplication sentences for number lines

9 Relate addition and multiplication

**F. Multiplication skill builders: **

1 Multiply by 0

2 Multiply by 1

3 Multiply by 2

4 Multiply by 3

5 Multiply by 4

6 Multiply by 5

7 Multiply by 6

8 Multiply by 7

9 Multiply by 8

10 Multiply by 9

11 Multiply by 10

12 Multiply by 11

13 Multiply by 12

**G. Multiplication fluency:**

1 Multiplication facts for 2, 5, 10

2 Multiplication facts for 2, 5 and 10: true or false?

3 Multiplication facts for 2, 5 and 10: sorting

4 Multiplication facts for 2, 5 and 10: find the missing factor

5 Multiplication facts up to 5

6 Multiplication facts up to 5: true or false?

7 Multiplication facts up to 5: sorting

8 Multiplication facts up to 5: find the missing factor

9 Multiplication facts for 6, 7, 8 and 9

10 Multiplication facts for 6, 7, 8 and 9: true or false?

11 Multiplication facts for 6, 7, 8 and 9: sorting

12 Multiplication facts for 6, 7, 8 and 9: find the missing factor

13 Multiplication facts up to 10

14 Multiplication facts up to 10: true or false?

15 Multiplication facts up to 10: sorting

16 Multiplication facts up to 10: find the missing factor

17 Multiplication facts up to 10: select the missing factors

18 Multiplication sentences up to 10: true or false?

19 Squares up to 100

20 Multiplication facts to 12

21 Multiplication facts up to 12: find the missing factor

**H. Logical reasoning:**

1 Guess the number

2 Largest/smallest number possible

3 Find the order

4 Age puzzles

5 Find two numbers based on sum and difference

6 Find two numbers based on sum, difference, product and quotient

**I. Multiplication:**

1 Multiply by a multiple of ten

2 Multiply numbers ending in zeroes

3 Multiplication patterns over increasing place values

4 Multiplication input/output tables

5 Multiplication input/output tables: find the rule

6 Multiplication facts up to 5: word problems

7 Multiplication facts up to 10: word problems

8 Multiplication word problems with facts up to 5: find the missing factor

9 Multiplication word problems with facts up to 10: find the missing factor

10 Compare numbers using multiplication

11 Compare numbers using multiplication: word problems

12 Multiply one-digit numbers by two-digit numbers using area models I

13 Multiply one-digit numbers by two-digit numbers using area models II

14 Multiply one-digit numbers by two-digit numbers

15 Multiply one-digit numbers by two-digit numbers: word problems

16 Multiply one-digit numbers by three-digit numbers using area models I

17 Multiply one-digit numbers by three-digit numbers using area models II

18 Multiply one-digit numbers by three-digit numbers

19 Multiply one-digit numbers by three-digit numbers: word problems

20 Multiply three or more numbers

21 Multiply three or more numbers: word problems

**J. Understand division:**

1 Divide by counting equal groups

2 Write division sentences for groups

3 Relate multiplication and division for groups

4 Write division sentences for arrays

5 Relate multiplication and division for arrays

6 Relate multiplication and division

**K. Division skill builders:**

1 Divide by 1

2 Divide by 2

3 Divide by 3

4 Divide by 4

5 Divide by 5

6 Divide by 6

7 Divide by 7

8 Divide by 8

9 Divide by 9

10 Divide by 10

11 Divide by 11

12 Divide by 12

**L. Division fluency:**

1 Division facts for 2, 5 and 10

2 Division facts for 2, 5 and 10: true or false?

3 Division facts for 2, 5 and 10: sorting

4 Division facts up to 5

5 Division facts up to 5: true or false?

6 Division facts for 6, 7, 8 and 9

7 Division facts for 6, 7, 8 and 9: true or false?

8 Division facts for 6, 7, 8 and 9: sorting

9 Division facts up to 10

10 Division facts up to 10: true or false?

11 Division facts up to 10: sorting

12 Division facts up to 10: find the missing number

13 Division facts up to 10: select the missing numbers

14 Division sentences up to 10: true or false?

15 Division facts up to 12

**M. Division:**

1 Divide numbers ending in zeroes

2 Division patterns over increasing place values

3 Division input/output tables

4 Division facts up to 5: word problems

5 Division facts up to 10: word problems

6 Divide two-digit numbers using area models

7 Divide two-digit numbers

8 Divide two-digit numbers: word problems

9 Divide two-digit numbers with remainders using arrays

10 Divide two-digit numbers with remainders

11 Divide three-digit numbers using area models

12 Divide three-digit numbers

13 Divide three-digit numbers: word problems

14 Divisibility rules for 2, 5 and 10

15 Divisibility rules for 3, 6 and 9

16 Divisibility rules for 4 and 8

**N. Mixed operations:**

1 Addition, subtraction, multiplication and division facts

2 Complete the addition, subtraction, multiplication or division sentence

3 Multiplication and division facts up to 5: true or false?

4 Multiplication and division facts up to 10: true or false?

5 Multiplication and division facts up to 12: true or false?

6 Multiplication and division sentences up to 12: true or false?

7 Add, subtract, multiply and divide

8 Comparing: with addition and subtraction

9 Add and subtract data from tables

10 Addition and subtraction word problems

11 Multiplication and division word problems

12 Comparison word problems: addition or multiplication?

13 Addition, subtraction, multiplication and division word problems

14 Perform multiple operations with whole numbers

15 Two-step addition and subtraction word problems

16 Two-step multiplication and division word problems

17 Two-step mixed operation word problems

18 Multi-step word problems

19 Understanding parentheses

20 Missing operators

21 Multi-step inequalities

**O. Equations and variables:**

1 Identify equations

2 Solve for the variable: addition and subtraction

3 Solve for the variable: multiplication and division

4 Solve for the variable

5 Write variable equations to represent word problems: addition and subtraction

6 Write variable equations to represent word problems: multiplication and division

7 Write variable equations to represent word problems

**P. Equations and variables:**

1 Identify equations

2 Solve for the variable: addition and subtraction

3 Solve for the variable: multiplication and division

4 Solve for the variable

5 Write variable equations to represent word problems: addition and subtraction

6 Write variable equations to represent word problems: multiplication and division

7 Write variable equations to represent word problems**Q. Estimation and rounding:**

1 Estimate to the nearest 10

2 Round to the nearest 10 or 100

3 Round to the nearest 10 000

4 Round money amounts

5 Rounding puzzles

6 Solve inequalities using estimation

7 Estimate sums up to 1000

8 Estimate sums up to 1 000000

9 Estimate sums: word problems

10 Estimate differences up to 1000

11 Estimate differences up to 1 000 000

12 Estimate differences: word problems

13 Estimate sums and differences: word problems

14 Estimate products

15 Estimate products: word problems

16 Estimate quotients

17 Estimate quotients: word problems

18 Estimate sums, differences, products and quotients: word problems

19 Two-step word problems: identify reasonable answers

**R. Patterns:**

1 Repeating patterns

2 Find the next shape in a repeating pattern

3 Complete a repeating pattern

4 Make a repeating pattern

5 Growing patterns

6 Find the next shape in a growing pattern

7 Find the next row in a growing pattern

8 Use a rule to complete a number pattern

**S. Time:**

1 Match clocks and times

2 Match analogue and digital clocks

3 Read clocks and write times

4 A.M. or P.M.

5 Write times

6 Elapsed time

7 Elapsed time word problems

8 Read a calendar

9 Convert between seconds, minutes and hours

10 Relate time units

11 Time patterns

12 Convert between hours and fractions of hours

13 Convert between 12-hour and 24-hour time

14 Reading schedules – 12-hour time

15 Reading schedules – 24-hour time

16 Timelines**T. Data and graphs:**

1 Objects on a coordinate plane

2 Coordinate planes as maps

3 Graph points on a coordinate plane

4 Read a table

5 Interpret pictographs I

6 Interpret pictographs II

7 Create pictographs I

8 Create pictographs II

9 Interpret bar graphs

10 Create bar graphs

11 Use bar graphs to solve problems

12 Interpret line plots

13 Create line plots

14 Interpret frequency charts

15 Create frequency charts

16 Interpret line graphs

17 Create line graphs

18 Sort shapes into a Venn diagram

19 Count shapes in a Venn diagram**U. Units of measurement:**

1 Read a thermometer

2 Reasonable temperature

3 Measure using a centimeter ruler

4 Which unit of length is appropriate?

5 Compare units of length

6 Convert units of length

7 Which unit of mass is appropriate?

8 Compare units of mass

9 Convert units of mass

10 Which unit of volume is appropriate?

11 Compare units of volume

12 Convert units of volume

13 Choose the appropriate measuring tool**V. Geometry:**

1 Identify two-dimensional shapes

2 Count and compare sides and vertices

3 Parallel sides in quadrilaterals

4 Classify quadrilaterals

5 Draw quadrilaterals

6 Identify three-dimensional shapes

7 Count vertices, edges and faces

8 Identify faces of three-dimensional shapes

9 Nets of three-dimensional shapes

10 Shapes of everyday objects I

11 Shapes of everyday objects II

12 Is it a polygon?

13 Lines, line segments and rays

14 Parallel, perpendicular and intersecting lines

15 Angles greater than, less than or equal to a right angle

16 Acute, obtuse and right triangles

17 Scalene, isosceles and equilateral triangles

18 Reflection, rotation and translation

19 Identify congruent shapes

20 Symmetry

21 Compose two-dimensional shapes**W. Geometric measurement:**

1 Perimeter of rectangles

2 Perimeter of polygons

3 Perimeter of rectilinear shapes

4 Perimeter of figures on grids

5 Perimeter: find the missing side length

6 Perimeter: word problems

7 Find the area of figures made of unit squares

8 Select figures with a given area

9 Select two figures with the same area

10 Tile a rectangle and find the area

11 Multiply to find the area of a rectangle made of unit squares

12 Create figures with a given area

13 Create rectangles with a given area

14 Find the area of rectangles and squares

15 Find the missing side length of a rectangle

16 Area of figures on grids

17 Find the area of complex figures by dividing them into rectangles

18 Find the area of complex figures

19 Volume**X. Understand fractions:**

1 Identify equal parts

2 Identify halves, thirds and fourths

3 Make halves, thirds and fourths

4 Make sixths and eighths

5 Make halves, thirds, fourths, sixths and eighths

6 Understand fractions: fraction bars

7 Understand fractions: area models

8 Show fractions: fraction bars

9 Show fractions: area models

10 Match fractions to models: halves, thirds and fourths

11 Match unit fractions to models

12 Match fractions to models

13 Fractions of number lines: unit fractions

14 Fractions of number lines

15 Identify unit fractions on number lines

16 Identify fractions on number lines

17 Graph unit fractions on number lines

18 Graph fractions on number lines

19 Graph smaller or larger fractions on number lines

20 Unit fractions: modelling word problems

21 Fractions of a whole: modelling word problems

22 Fractions of a group: word problems

23 Decompose fractions into unit fractions using models

24 Decompose fractions into unit fractions**Y. Equivalent fractions:**

1 Find equivalent fractions using area models: two models

2 Find equivalent fractions using area models: one model

3 Identify equivalent fractions on number lines

4 Find equivalent fractions using number lines

5 Select equivalent fractions

6 Find equivalent fractions

7 Write fractions in lowest terms**Z. Compare and order fractions:**

1 Compare fractions using models

2 Compare fractions using number lines

3 Graph and compare fractions with like denominators on number lines

4 Graph and compare fractions with like numerators on number lines

5 Graph and compare fractions on number lines

6 Compare fractions with like denominators

7 Compare fractions

8 Order fractions with like denominators

9 Order fractions**AA. Decimals:**

1 What decimal number is illustrated?

2 Model decimals and fractions

3 Convert between decimals and fractions

4 Convert decimals between standard and expanded form using fractions

5 Understanding decimals expressed in words

6 Place values in decimal numbers

7 Equivalent decimals

8 Graph decimals on number lines

9 Graph fractions as decimals on number lines

10 Number sequences involving decimals

11 Round decimals

12 Compare decimals using models

13 Compare decimals on number lines

14 Inequalities with decimals

15 Put decimal numbers in order

16 Add and subtract decimals

17 Add and subtract decimals – word problems

18 Estimate sums and differences of decimals

19 Add three or more decimal numbers**BB. Probability and statistics:**

1 More, less and equally likely

2 Certain, probable, unlikely and impossible

3 Find the probability

4 Find the mode

5 Find the mean

6 Interpret charts to find mean and mode

7 Combinations

**CC. Money:**

1 Count coins and bills: up to $5 bill

2 Count coins and bills: up to $20 bill

3 Do you have enough money: up to $10

4 Do you have enough money: up to $50

5 Which picture shows more?: up to $5 bill

6 Which picture shows more: up to $20 bill

7 Making change: up to $10

8 Making change: up to $50

9 Inequalities with money

10 Put money amounts in order

11 Add and subtract money amounts

12 Add money amounts: word problems

13 Price lists

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