# GRADE 4 MATH

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**A. Number sense**

1 Place value models

2 Convert between standard and expanded form

3 Value of a digit

4 Relationship between place values

5 Convert between place values

6 Identify place value names

7 Place values review

8 Word names for numbers

9 Rounding

10 Rounding input/output tables

11 Rounding puzzles

12 Even or odd

13 Even or odd: arithmetic rules

14 Understanding integers

15 Skip-counting sequences

16 Roman numerals

17 Prime and composite numbers

18 Inequalities with number lines

19 Compare numbers

20 Put numbers in order.

**B. Addition**

1 Addition facts up to 20

2 Addition facts up to 20: word problems

3 Complete the addition sentence: facts up to 20

4 Add two-digit numbers

5 Add numbers up to two digits: word problems

6 Complete the addition sentence: up to two digits

7 Add numbers up to three digits

8 Add numbers up to three digits: word problems

9 Complete the addition sentence: up to three digits

10 Add numbers up to four digits

11 Add numbers up to four digits: word problems

12 Complete the addition sentence: up to four digits

13 Addition: fill in the missing digits

14 Properties of addition

15 Add three or more numbers

16 Addition patterns over increasing place values

17 Choose numbers with a particular sum

18 Estimate sums

19 Estimate sums: word problems

**C. Subtraction**

1 Subtraction facts up to 18

2 Subtraction facts up to 18: word problems

3 Complete the subtraction sentence: up to 18

4 Subtract numbers up to two digits

5 Subtract numbers up to two digits: word problems

6 Complete the subtraction sentence: up to two digits

7 Subtract numbers up to three digits

8 Subtract numbers up to three digits: word problems

9 Complete the subtraction sentence: up to three digits

10 Subtract numbers up to four digits

11 Subtract numbers up to four digits: word problems

12 Complete the subtraction sentence: up to four digits

13 Subtraction: fill in the missing digits

14 Subtraction patterns over increasing place values

15 Choose numbers with a particular difference

16 Estimate differences

17 Estimate differences: word problems**D. 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**E. Multiplication**

1 Multiplication facts up to 10

2 Multiplication facts up to 10: find the missing factor

3 Choose the multiples of a given number up to 12

4 Choose numbers with a particular product

5 Identify factors

6 Find all the factor pairs of a number

7 Prime factorization

8 Multiply 1-digit numbers by teen numbers using grids

9 Multiply 1-digit numbers by 2-digit numbers using area models I

10 Multiply 1-digit numbers by 2-digit numbers using area models II

11 Multiply 1-digit numbers by 2-digit numbers

12 Multiply 1-digit numbers by 2-digit numbers: word problems

13 Multiply 1-digit numbers by 3-digit numbers using area models I

14 Multiply 1-digit numbers by 3-digit numbers using area models II

15 Multiply 1-digit numbers by 3-digit numbers using expanded form

16 Multiply 1-digit numbers by multi-digit numbers using partial products

17 Multiply 1-digit numbers by 3-digit numbers

18 Multiply 1-digit numbers by larger numbers

19 Multiply by 10 or 100

20 Multiplication patterns over increasing place values

21 Properties of multiplication

22 Distributive property: find the missing factor

23 Multiply using the distributive property

24 Use one multiplication fact to complete another

25 Estimate products: multiply by 1-digit numbers

26 Estimate products: multiply by larger numbers

27 Estimate products: word problems

28 Estimate products word problems: identify reasonable answers

29 Multiply numbers ending in zeroes

30 Multiply numbers ending in zeroes: word problems

31 Multiply three numbers

32 Multiply three or more numbers: word problems

33 Inequalities with multiplication**F. Multiplicative relationships**

1 Compare numbers using multiplication

2 Compare numbers using multiplication: word problems

3 Unit rates and equivalent rates**G. 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

7 Divide using arrays

8 Divide using area models

9 Divide using repeated subtraction

10 Divide using the distributive property**H. Division**

1 Division facts up to 10

2 Division facts up to 10: word problems

3 Divide 2-digit numbers

4 Divide 2-digit numbers: word problems

5 Divide 2-digit numbers with remainders

6 Divide 2-digit numbers and interpret remainders

7 Divide 3-digit numbers

8 Divide 3-digit numbers: word problems

9 Divide 3-digit numbers with remainders

10 Divide 3-digit numbers and interpret remainders

11 Complete the division table: divide 3-digit numbers

12 Choose numbers with a particular quotient

13 Divide numbers ending in zeroes

14 Estimate quotients using compatible numbers

15 Inequalities with estimated quotients

16 Estimate quotients: word problems

17 Divisibility rules

18 Divisibility rules: word problems

19 Division patterns over increasing place values

20 Inequalities with division

**I. Mixed operations**

1 Complete the addition, subtraction, multiplication or division sentence

2 Add, subtract, multiply and divide

3 Addition, subtraction, multiplication and division word problems

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

5 Word problems with extra or missing information

6 Solve word problems using guess-and-check

7 Multi-step word problems involving subtraction

8 Multi-step word problems with strip diagrams

9 Use strip diagrams to represent and solve multi-step word problems

10 Multi-step word problems

11 Multi-step word problems involving remainders

12 Multi-step word problems: identify reasonable answers

13 Write numerical expressions: one operation

14 Choose numbers with a particular sum, difference, product or quotient

15 Mentally add and subtract numbers ending in zeroes

16 Inequalities involving addition, subtraction, multiplication and division**J. Variable expressions**

1 Write variable expressions

2 Write variable expressions: word problems

3 Evaluate variable expressions

4 Write variable equations to represent word problems

5 Solve variable equations: addition and subtraction

6 Solve variable equations: multiplication and division

7 Solve variable equations**K. Logical reasoning**

1 Place value word problems

2 Find two numbers based on sum and difference

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

4 Find the order

5 Sort shapes into a Venn diagram

6 Use Venn diagrams to solve problems**L. Patterns and sequences**

1 Find the next shape in a repeating pattern

2 Complete a repeating pattern

3 Make a repeating pattern

4 Find the next row in a growing pattern of shapes

5 Use a rule to complete a number pattern

6 What is true about the given number pattern?

7 What is true about the number pattern made by the rule?

8 Compare number patterns

9 Complete an increasing number pattern

10 Complete a geometric number pattern

11 Number patterns: word problems

12 Number patterns: mixed review

13 Input/output tables with addition, subtraction, multiplication and division

14 Shape patterns**M. Coordinate plane**

1 Objects on a coordinate plane

2 Graph points on a coordinate plane

3 Follow directions on a coordinate plane

4 Coordinate planes as maps**N. Data and graphs**

1 Read a table

2 Interpret pictographs

3 Create pictographs

4 Interpret line graphs

5 Create line graphs

6 Interpret bar graphs

7 Interpret double bar graphs

8 Create bar graphs

9 Interpret line plots

10 Create line plots

11 Interpret frequency charts

12 Create frequency charts

13 Interpret stem-and-leaf plots

14 Create stem-and-leaf plots

15 Circle graphs

16 Choose the best type of graph**O. Money**

1 Count coins and bills up to $100

2 Compare money amounts

3 Put money amounts in order

4 Round money amounts

5 Add and subtract money amounts

6 Add and subtract money amounts: word problems

7 Making change

8 Find the change, price or amount paid

9 Price lists**P. Units of measurement**

1 Read a thermometer

2 Reasonable temperature

3 Measure using a centimetre 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**Q. Time**

1 Match clocks and times

2 Match analogue and digital clocks

3 Read clocks and write times

4 Convert time units

5 Add and subtract mixed time units

6 Fractions of time units

7 Elapsed time

8 Find start and end times: multi-step word problems

9 Convert between 12-hour and 24-hour time

10 Time zones – 12-hour time

11 Time zones – 24-hour time

12 Transportation schedules – 12-hour time

13 Transportation schedules – 24-hour time

14 Time patterns**R. Geometry**

1 Which two-dimensional figure is being described?

2 Identify three-dimensional figures

3 Count vertices, edges and faces

4 Identify faces of three-dimensional figures

5 Which three-dimensional figure is being described?

6 Nets of three-dimensional figures

7 Is it a polygon?

8 Number of sides in polygons

9 Regular and irregular polygons

10 Lines, line segments and rays

11 Parallel, perpendicular and intersecting lines

12 Acute, right, obtuse and straight angles

13 Angles as fractions of a circle

14 Angles of 90, 180, 270 and 360 degrees

15 Types of triangles

16 Parallel sides in quadrilaterals

17 Identify parallelograms

18 Identify trapezoids

19 Identify rectangles

20 Identify rhombuses

21 Classify quadrilaterals

22 Pick all the names for a quadrilateral

23 Draw quadrilaterals

24 Identify congruent figures

25 Reflection, rotation and translation

26 Identify lines of symmetry

27 Draw lines of symmetry

28 Count lines of symmetry

29 Rotational symmetry**S. Geometric measurement**

1 Perimeter

2 Perimeter of figures on grids

3 Perimeter: find the missing side lengths

4 Find the area of figures made of unit squares

5 Select figures with a given area

6 Select two figures with the same area

7 Tile a rectangle and find the area

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

9 Create figures with a given area

10 Create rectangles with a given area

11 Find the area or missing side length of a rectangle

12 Find the areas of complex figures by dividing them into rectangles

13 Find the areas of complex figures

14 Area and perimeter: word problems

15 Rectangles: relationship between perimeter and area word problems

16 Volume

17 Surface area

**T. Understand fractions**

1 Identify halves, thirds and fourths

2 Make halves, thirds and fourths

3 Make sixths and eighths

4 Make halves, thirds, fourths, sixths and eighths

5 Understand fractions: fraction bars

6 Understand fractions: area models

7 Show fractions: fraction bars

8 Show fractions: area models

9 Match fractions to models: halves, thirds and fourths

10 Match unit fractions to models

11 Match fractions to models

12 Fractions of number lines: unit fractions

13 Fractions of number lines: halves, fourths and eighths

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 Unit fractions: word problems

22 Fractions of a whole: modelling word problems

23 Fractions of a whole: word problems

24 Fractions of a group: word problems

25 Decompose fractions into unit fractions using models

26 Decompose fractions into unit fractions**U. Equivalent fractions**

1 Find equivalent fractions using area models

2 Identify equivalent fractions on number lines

3 Find equivalent fractions using number lines

4 Graph equivalent fractions on number lines

5 Equivalent fractions

6 Fractions with denominators of 10 and 100

7 Patterns of equivalent fractions

8 Write fractions in lowest terms**V. Compare and order fractions**

1 Compare fractions with like denominators using models

2 Compare fractions with like numerators or denominators using models

3 Compare fractions using models

4 Graph and compare fractions with like denominators on number lines

5 Graph and compare fractions with like numerators or denominators on number lines

6 Compare fractions using ½ as a benchmark

7 Compare fractions using ½ as a benchmark: find the missing numerator

8 Compare fractions with like denominators

9 Compare fractions with like numerators or denominators

10 Compare fractions

11 Compare fractions with like denominators in recipes

12 Order fractions with like denominators

13 Order fractions with like numerators or denominators

14 Order fractions

15 Find smaller or larger fractions**W. Decimals up to tenths**

1 Model decimals and fractions: up to tenths

2 Understanding decimals expressed in words: up to tenths

3 Place values in decimal numbers: up to tenths

4 Graph decimals on number lines: up to tenths

5 Decimal number lines: up to tenths

6 Graph fractions as decimals on number lines: up to tenths

7 Convert fractions to decimals: up to tenths

8 Convert decimals to fractions: up to tenths

9 Convert decimals between standard and expanded form using fractions: up to tenths

10 Compare decimals on number lines: up to tenths

11 Compare decimal numbers: up to tenths

12 Put decimal numbers in order: up to tenths

13 Compare decimals and fractions on number lines: up to tenths

14 Compare decimals and fractions: up to tenths

15 Number sequences involving decimals: up to tenths**X. Decimals up to hundredths**

1 What decimal number is illustrated?

2 Model decimals and fractions: up to hundredths

3 Understanding decimals expressed in words: up to hundredths

4 Place values in decimal numbers: up to hundredths

5 One-tenth or one-hundredth more or less

6 Equivalent decimals: up to hundredths

7 Graph decimals on number lines: up to hundredths

8 Decimal number lines: up to hundredths

9 Graph fractions as decimals on number lines: up to hundredths

10 Convert fractions to decimals: denominators of 10 and 100

11 Convert fractions to decimals: up to hundredths

12 Convert decimals to fractions: up to hundredths

13 Convert decimals between standard and expanded form using fractions: up to hundredths

14 Round decimals: up to hundredths

15 Compare decimals using models: up to hundredths

16 Compare decimals on number lines: up to hundredths

17 Compare decimal numbers: up to hundredths

18 Put decimal numbers up to hundredths in order I

19 Put decimal numbers up to hundredths in order II

20 Compare decimals and fractions on number lines: up to hundredths

21 Compare decimals and fractions: up to hundredths

22 Number sequences involving decimals: up to hundredths**Y. Add and subtract decimals up to tenths**

1 Add decimal numbers: up to tenths

2 Subtract decimal numbers: up to tenths

3 Add and subtract decimals up to tenths: word problems

4 Choose decimals with a particular sum or difference: up to tenths

5 Add three or more decimals: up to tenths

6 Add three or more decimals up to tenths: word problems

7 Complete the decimal addition or subtraction sentence: up to tenths

8 Inequalities with decimal addition and subtraction: up to tenths

9 Estimate sums and differences of decimals: up to tenths

10 Solve decimal problems using diagrams: up to tenths**Z. Add and subtract decimals up to hundredths**

1 Add decimal numbers: up to hundredths

2 Subtract decimal numbers: up to hundredths

3 Add and subtract decimals up to hundredths: word problems

4 Choose decimals with a particular sum or difference: up to hundredths

5 Add three or more decimals: up to hundredths

6 Add three or more decimals up to hundredths: word problems

7 Complete the addition or subtraction sentence: up to hundredths

8 Inequalities with addition and subtraction: up to hundredths

9 Estimate sums and differences of decimals: up to hundredths**AA. Probability and statistics**

1 Certain, probable, unlikely and impossible

2 Understanding probability

3 Find the probability

4 Make predictions

5 Find the mode

6 Find the mean

7 Find the median

8 Interpret line plots to find the mode

9 Interpret line plots to find the mean

10 Interpret line plots to find the median

11 Interpret charts to find mean and mode

## gRADE 4 mATH Pricing?

- Single Student
- Class size: One on One
- Class duration: 1 hour
- 1 Lesson per week
- Visual Interactive Learning
- Flexible and Personalized Learning

- Siblings Offer
- Class size: 2 students
- Class duration: 1 hour
- 1 Lessons per week
- Visual Interactive Learning
- Flexible and Personalized Learning

- Single Student
- Class size: One on One
- Class duration: 1 hour
- 2 Lessons per week
- Visual Interactive Learning
- Flexible and Personalized Learning

- Siblings Offer
- Class size: 2 Students
- Class duration: 1 hour
- 2 Lessons per week
- Visual Interactive Learning
- Flexible and Personalized Learning