## Grade 5 Math

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**A. Place values and number sense**

1 Expanded form up to 100 000

2 Expanded form up to 1 000 000

3 Place value up to 100 000

4 Place value up to 1 000 000

5 Relationship between place values

6 Convert between place values

7 Word names for numbers up to 100 000

8 Word names for numbers up to 1 000 000

9 Spell word names for numbers up to 100 000

10 Spell word names for numbers up to 1 000 000

11 Whole numbers on number lines

12 Compare numbers up to 100 000

13 Compare numbers up to 1 000 000

14 Order numbers up to 100 000

15 Order numbers up to 1 000 000

16 Roman numerals

17 Rounding

18 Even or odd: arithmetic rules

19 Skip-counting sequences**B. Addition and subtraction**

1 Add and subtract whole numbers up to 100 000

2 Add and subtract whole numbers up to 1 000 000

3 Add and subtract whole numbers up to 100 000: word problems

4 Add and subtract whole numbers up to 1 000 000: word problems

5 Complete addition and subtraction sentences

6 Fill in the missing digits

7 Choose numbers with a particular sum or difference

8 Properties of addition

9 Add using properties

10 Use compensation to add

11 Addition patterns over increasing place values

12 Subtraction patterns over increasing place values

13 Inequalities with addition and subtraction

14 Estimate sums and differences of whole numbers

15 Estimate sums and differences: word problems**C. Multiplication**

1 Multiplication facts to 10

2 Multiplication facts to 12

3 Multiply by 1-digit numbers

4 Multiply by 1-digit numbers: word problems

5 Multiplication patterns over increasing place values

6 Multiply numbers ending in zeroes

7 Multiply numbers ending in zeroes: word problems

8 Properties of multiplication

9 Multiply using properties

10 Choose numbers with a particular product

11 Estimate products

12 Estimate products: word problems

13 Multiply 2-digit numbers by 2-digit numbers using area models I

14 Multiply 2-digit numbers by 2-digit numbers using area models II

15 Multiply 2-digit numbers by 2-digit numbers: complete the missing steps

16 Multiply 2-digit numbers by 2-digit numbers

17 Multiply 2-digit numbers by 2-digit numbers: word problems

18 Multiply three or four numbers

19 Multiply three or four numbers: word problems

20 Box multiplication

21 Lattice multiplication

22 Multiply 3-digit numbers by 2-digit numbers

23 Multiply 3-digit numbers by 2-digit numbers: word problems

24 Inequalities with multiplication**D. Division**

1 Division facts to 10

2 Division facts to 10: word problems

3 Division facts to 12

4 Division facts to 12: word problems

5 Divide by 1-digit numbers

6 Divide by 1-digit numbers: word problems

7 Divide by 1-digit numbers: interpret remainders

8 Division patterns over increasing place values

9 Divide numbers ending in zeroes

10 Divide numbers ending in zeroes: word problems

11 Choose numbers with a particular quotient

12 Estimate quotients

13 Estimate quotients: word problems

14 Divide by 2-digit numbers using models

15 Divide by 2-digit numbers using partial products

16 Divide 2-digit and 3-digit numbers by 2-digit numbers

17 Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems

18 Divide 4-digit numbers by 2-digit numbers

19 Divide 4-digit numbers by 2-digit numbers: remainders as decimals

20 Divide 4-digit numbers by 2-digit numbers: word problems

21 Adjust quotients

22 Multi-step word problems: multiplicative comparison

23 Relate multiplication and division

24 Complete the division sentence: 2-digit divisors**E. Exponents**

1 Understanding exponents

2 Write multiplication expressions using exponents

3 Evaluate exponents

4 Write powers of ten with exponents

5 Multiply a whole number by a power of ten: with exponents

6 Multiply a decimal by a power of ten: with exponents

7 Divide by a power of ten: with exponents

8 Multiply and divide by a power of ten: with exponents**F. Number theory**

1 Prime and composite numbers

2 Prime factorization

3 Divisibility rules

4 Divisibility rules: word problems

5 Greatest common factor

6 Least common multiple**G. Decimals up to hundredths**

1 What decimal number is illustrated?

2 Model decimals and fractions

3 Understanding decimals expressed in words: up to hundredths

4 Place values in decimal numbers up to hundredths

5 Expanded form of decimals up to hundredths

6 Equivalent decimals up to hundredths

7 Round decimals to the nearest whole number or tenth

8 Decimal number lines

9 Compare decimals using grids

10 Compare decimals on number lines

11 Compare decimal numbers up to hundredths

12 Put decimals in order: up to hundredths

13 Convert fractions to decimals: up to hundredths

14 Convert decimals to fractions: up to hundredths

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

16 Compare decimals and fractions on number lines

17 Compare decimals and fractions: up to hundredths

18 Put assorted decimals and fractions in order: up to hundredths**H. Decimals up to thousandths**

1 Understanding decimals expressed in words: up to thousandths

2 Place values in decimal numbers up to thousandths

3 Relationship between decimal place values

4 Expanded form of decimals up to thousandths

5 Equivalent decimals up to thousandths

6 Round decimals to the nearest whole number, tenth or hundredth

7 Compare decimal numbers up to thousandths

8 Put decimals in order: up to thousandths

9 Compare, order and round decimals: word problems

10 Convert fractions to decimals: up to thousandths

11 Convert decimals to fractions: up to thousandths

12 Convert decimals between standard and expanded form using fractions: up to thousandths

• New! Compose and decompose decimals in multiple ways

13 Compare decimals and fractions: up to thousandths

14 Put assorted decimals and fractions in order: up to thousandths**I. Add and subtract decimals up to** hundredths

1 Add decimal numbers up to hundredths using blocks

2 Add decimal numbers up to hundredths

3 Subtract decimal numbers up to hundredths

4 Add and subtract decimal numbers up to hundredths

5 Add and subtract decimals up to hundredths: word problems

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

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

8 Inequalities with decimal addition and subtraction: up to hundredths

9 Estimate sums and differences of decimals using rounding: up to hundredths

10 Estimate sums and differences of decimals using benchmarks**J. Add and subtract decimals up to thousandths**

1 Add decimal numbers up to thousandths

2 Subtract decimal numbers up to thousandths

3 Add and subtract decimal numbers up to thousandths

4 Add and subtract decimals up to thousandths: word problems

5 Choose decimals with a particular sum or difference: up to thousandths

6 Complete the decimal addition or subtraction sentence: up to thousandths

7 Inequalities with decimal addition and subtraction: up to thousandths

8 Estimate sums and differences of decimals using rounding: up to thousandths

**K. Multiply decimals**

1 Estimate products of decimals

2 Multiply a decimal by a power of ten

3 Multiply a whole number by 0.1 or 0.01

4 Multiply by a power of ten with decimals: find the missing number

5 Multiply a decimal by a 1-digit whole number using blocks

6 Multiply a decimal by a 1-digit whole number using the distributive property

7 Multiply a decimal by a 1-digit whole number

8 Multiply a decimal by a 2-digit whole number using area models

9 Multiply a decimal by a 2-digit whole number

10 Multiply decimals and whole numbers: word problems

11 Complete the decimal multiplication sentence using grids

12 Multiply decimals using grids

13 Multiply two decimals: where does the decimal point go?

14 Multiply two decimals

15 Inequalities with decimal multiplication**L. Divide decimals**

1 Divide by powers of ten

2 Decimal division patterns over increasing place values

3 Divide by a power of ten with decimals: find the missing number

4 Divide decimals using blocks: complete the equation

5 Divide decimals using area models: complete the equation

6 Divide decimals by whole numbers

7 Divide decimals by whole numbers: word problems

8 Division with decimal quotients and rounding

9 Estimate decimal quotients**M. Money**

1 Add and subtract money amounts

2 Add and subtract money: word problems

3 Price lists with addition and subtraction

4 Multiply and divide money amounts: word problems

5 Multiply money amounts with decimals

6 Multiply money amounts with decimals: word problems

7 Divide money amounts with decimals

8 Divide money amounts with decimals: word problems**N. Fractions and mixed numbers**

1 Show fractions: fraction bars

2 Show fractions: area models

3 Identify fractions

4 Fractions of a whole: word problems

5 Fractions of a group: word problems

6 Identify fractions on number lines

7 Graph fractions on number lines

8 Mixed numbers

9 Round mixed numbers

10 Relate division and fractions**O. Equivalent fractions**

1 Find equivalent fractions using area models

2 Graph equivalent fractions on number lines

3 Equivalent fractions

4 Patterns of equivalent fractions

5 Write fractions in lowest terms

6 Convert between improper fractions and mixed numbers

7 Least common denominator**P. Compare and order fractions**

1 Graph and compare fractions on number lines

2 Benchmark fractions

3 Compare fractions using benchmarks

4 Compare fractions

5 Compare fractions and mixed numbers

6 Order fractions with like denominators

7 Order fractions with like numerators

8 Order fractions with unlike denominators

9 Order fractions review**Q. Add and subtract fractions with like denominators**

1 Decompose fractions multiple ways

2 Add fractions with like denominators using area models

3 Add fractions with like denominators using strip models

4 Add fractions with like denominators using number lines

5 Add fractions with like denominators

6 Subtract fractions with like denominators using area models

7 Subtract fractions with like denominators using strip models

8 Subtract fractions with like denominators using number lines

9 Subtract fractions with like denominators

10 Add and subtract fractions with like denominators using number lines

11 Add and subtract fractions with like denominators

12 Add and subtract fractions with like denominators: word problems

13 Add three or more fractions with like denominators

14 Add three or more fractions with like denominators: word problems

15 Complete addition and subtraction sentences with fractions with like denominators

16 Inequalities with addition and subtraction of fractions with like denominators

17 Estimate sums and differences of mixed numbers with like denominators

18 Add and subtract mixed numbers with like denominators

19 Add and subtract mixed numbers with like denominators: word problems**R. Add and subtract fractions with unlike denominators**

1 Add fractions with unlike denominators using models

2 Add fractions with unlike denominators

3 Subtract fractions with unlike denominators using models

4 Subtract fractions with unlike denominators

5 Add up to 4 fractions with denominators of 10 and 100

6 Identify fraction expressions with a particular sum: denominators of 10 and 100

7 Add and subtract fractions: denominators of 10 and 100

8 Add and subtract fractions with unlike denominators

9 Add and subtract fractions with unlike denominators: word problems

10 Add three or more fractions with unlike denominators

11 Add three or more fractions with unlike denominators: word problems

12 Complete addition and subtraction sentences with fractions with unlike denominators

13 Inequalities with addition and subtraction of fractions with unlike denominators

14 Add and subtract mixed numbers with unlike denominators

15 Add and subtract mixed numbers with unlike denominators: word problems**S. Multiply fractions**

1 Multiply unit fractions by whole numbers using number lines

2 Multiply unit fractions by whole numbers: choose the model

3 Multiples of unit fractions: find the missing numbers

4 Multiply unit fractions and whole numbers: sorting

5 Multiply unit fractions by whole numbers

6 Multiply unit fractions by whole numbers: word problems

7 Multiply fractions by whole numbers using arrays

8 Multiply fractions by whole numbers using number lines

9 Multiply fractions by whole numbers: choose the model

10 Multiply fractions by whole numbers using models: complete the equation

11 Multiples of fractions: find the missing numbers

12 Multiply fractions and whole numbers: sorting

13 Multiply fractions by whole numbers

14 Multiply fractions by whole numbers: word problems

15 Multiply fractions by whole numbers: input/output tables

16 Fractions of a number

17 Fractions of a number: word problems

18 Scaling whole numbers by fractions**T. Divide fractions**

1 Divide whole numbers by unit fractions using models

2 Divide whole numbers by unit fractions using area models

3 Divide whole numbers by unit fractions**U. Integers**

1 Understanding integers

2 Integers on number lines

3 Graph integers on horizontal and vertical number lines

4 Understanding opposite integers

5 Compare integers

6 Put integers in order**V. Mixed operations**

1 Add, subtract, multiply and divide whole numbers

2 Add, subtract, multiply and divide whole numbers: word problems

3 Write numerical expressions

4 Evaluate numerical expressions

5 Identify mistakes involving the order of operations

6 Evaluate numerical expressions with parentheses in different places

7 Missing operators

8 Add, subtract, multiply and divide decimals

9 Add, subtract, multiply and divide decimals: word problems

10 Add, subtract, multiply and divide fractions

11 Add, subtract, multiply and divide fractions: word problems**W. Problem solving**

1 Make the largest possible quotient

2 Write numerical expressions for word problems

3 Multi-step word problems

4 Multi-step word problems: identify reasonable answers

5 Word problems with extra or missing information

6 Guess-and-check problems

7 Find the order

8 Use Venn diagrams to solve problems**X. Ratios and rates**

1 Write a ratio

2 Write a ratio using a fraction

3 Write a ratio: word problems

4 Which model represents the ratio?

5 Identify equivalent ratios

6 Write an equivalent ratio

7 Ratio tables

8 Unit rates

9 Equivalent rates

**Y. Percents**

1 What percentage is illustrated?

2 Understanding percents: strip models

3 Convert fractions to percents using grid models

4 Represent percents with grid models, decimals and fractions

5 Convert between percents and fractions

6 Convert between percents and decimals

7 Convert between percents, fractions and decimals

8 Compare percents to each other and to fractions and decimals

9 Compare percents and fractions: word problems**Z. 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 sequence

6 Compare number patterns

7 Identify mistakes in number patterns

8 Complete an increasing number sequence

9 Complete a geometric number sequence

10 Number sequences: word problems

11 Number sequences: mixed review

12 Arithmetic sequences with fractions

13 Geometric sequences with fractions**AA. Coordinate plane**

1 Describe the coordinate plane

2 Objects on a coordinate plane

3 Graph points on a coordinate plane

4 Graph points from a table

5 Use a rule to complete a table and a graph

6 Analyze graphed relationships

7 Coordinate planes as maps

8 Follow directions on a coordinate plane

9 Objects on a coordinate plane: all four quadrants

10 Graph points on a coordinate plane: all four quadrants

11 Quadrants**BB. Variable expressions**

1 Write variable expressions

2 Write variable expressions: word problems

3 Evaluate variable expressions**CC. One-variable equations**

1 Does x satisfy an equation?

2 Which value makes the equation true?

3 Write an equation from words

4 Model and solve equations using algebra tiles

5 Write and solve equations that represent diagrams

6 Solve addition and subtraction equations with whole numbers

7 Solve multiplication and division equations with whole numbers

8 Solve equations with whole numbers

9 Write a one-step equation: word problems

10 Which word problem matches the one-step equation?**DD. One-variable inequalities**

1 Solutions to inequalities

2 Graph inequalities on number lines

3 Write inequalities from number lines

4 Solve one-step inequalities

5 Graph solutions to one-step inequalities**EE. Two-variable equations**

1 Find a value using two-variable equations

2 Complete a table for a two-variable relationship

3 Complete a table from a graph

4 Graph patterns using rules

5 Graph a two-variable relationship

6 Write a two-variable equation**FF. Data and graphs**

1 Read a table

2 Interpret line graphs

3 Create line graphs

4 Interpret bar graphs

5 Interpret bar graphs: multi-step problems

6 Complete bar graphs

7 Interpret double bar graphs

8 Complete double bar graphs

9 Interpret pictographs

10 Create pictographs

11 Interpret line plots

12 Create line plots

13 Interpret frequency charts: one-step problems

14 Interpret frequency charts: multi-step problems

15 Create frequency charts

16 Create relative frequency tables

17 Interpret stem-and-leaf plots

18 Create stem-and-leaf plots

19 Circle graphs

20 Choose the best type of graph**GG. Probability and statistics**

1 Understanding probability

2 Find the probability

3 Make predictions

4 Experimental probability

5 Combinations

6 Find the mean

7 Mean: find the missing number

8 Interpret charts and graphs to find the mean

9 Calculate mean, median and mode

10 Mean, median and mode: find the missing number

11 Interpret charts to find mean, median and mode

12 Identify biased samples**HH. Time**

1 Convert time units

2 Add and subtract mixed time units

3 Elapsed time

4 Find start and end times: word problems

5 Convert between 12-hour and 24-hour time

6 Time zones: 12-hour time

7 Time zones: 24-hour time

8 Schedules and timelines: 12-hour time

9 Schedules: 24-hour time

10 Time patterns**II. Units of measurement**

1 Which metric unit of length is appropriate?

2 Compare and convert metric units of length

3 Which metric unit of mass is appropriate?

4 Compare and convert metric units of mass

5 Which metric unit of capacity is appropriate?

6 Compare and convert metric units of capacity

7 Read a thermometer

8 Choose the more reasonable temperature**JJ. Two-dimensional figures**

1 Is it a polygon?

2 Number of sides in polygons

3 Regular and irregular polygons

4 Points, lines, line segments, rays and angles

5 Parallel, perpendicular and intersecting lines

6 Types of angles

7 Angles of 90, 180, 270 and 360 degrees

8 Measure angles with a protractor

9 Draw angles with a protractor

10 Sort polygons into Venn diagrams

11 Properties of polygons

12 Parts of a circle**KK. Triangles and quadrilaterals**

1 Acute, obtuse and right triangles

2 Scalene, isosceles and equilateral triangles

3 Classify triangles

4 Parallel sides in quadrilaterals

5 Identify parallelograms

6 Identify trapezoids

7 Identify rectangles

8 Identify rhombuses

9 Classify quadrilaterals

10 Pick all the names for a quadrilateral

11 Draw quadrilaterals

12 Identify the relationships between quadrilaterals

13 Describe relationships among quadrilaterals**LL. Symmetry and transformations**

1 Lines of symmetry

2 Rotational symmetry

3 Reflection, rotation and translation

4 Combinations of reflections, rotations and translations

5 Transformations on the coordinate plane

6 Identify congruent figures**MM. Three-dimensional figures**

1 Identify three-dimensional figures

2 Count vertices, edges and faces

3 Identify faces of three-dimensional figures

4 Nets of three-dimensional figures

5 Three-dimensional figures viewed from different perspectives**NN. Geometric measurement**

1 Perimeter with whole number side lengths

2 Perimeter with decimal side lengths

3 Perimeter of figures on grids

4 Area of squares and rectangles

5 Understanding area of a parallelogram

6 Area of parallelograms

7 Understanding area of a triangle

8 Area of triangles

9 Area of figures on grids

10 Area and perimeter: word problems

11 Use area and perimeter to determine cost

12 Rectangles: relationship between perimeter and area

13 Volume of rectangular prisms made of unit cubes

14 Volume of irregular figures made of unit cubes

15 Volume of cubes and rectangular prisms

16 Surface area**OO. Financial literacy**

1 Identify advantages and disadvantages of payment methods

2 Evaluate payment methods

3 Debit cards and credit cards

4 Reading financial records

5 Keeping financial records

6 Balance a budget

7 Adjust a budget

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