Grade Five Math

## Place values and number sense

1. A.1Place values
2. A.2Convert between place values
3. A.3Compare numbers up to millions
4. A.4Word names for numbers
5. A.5Roman numerals
6. A.6Rounding
7. A.7Even or odd: arithmetic rules

## Addition and subtraction

1. B.1Add and subtract whole numbers up to millions
2. B.2Add and subtract whole numbers: word problems
3. B.3Complete addition and subtraction sentences
4. B.4Fill in the missing digits
5. B.5Choose numbers with a particular sum or difference
6. B.6Properties of addition
7. B.7Inequalities with addition and subtraction
8. B.8Estimate sums and differences of whole numbers
9. B.9Estimate sums and differences: word problems

## Multiplication

1. C.1Multiply by one-digit numbers
2. C.2Multiply by one-digit numbers: word problems
3. C.3Multiplication patterns over increasing place values
4. C.4Multiply numbers ending in zeroes
5. C.5Multiply numbers ending in zeroes: word problems
6. C.6Properties of multiplication
7. C.7Choose numbers with a particular product
8. C.8Estimate products
9. C.9Estimate products: word problems
10. C.10Box multiplication
11. C.11Lattice multiplication
12. C.12Multiply by 2-digit numbers: complete the missing steps
13. C.13Multiply 2-digit numbers by 2-digit numbers
14. C.14Multiply by 2-digit numbers: word problems
15. C.15Multiply three or four numbers
16. C.16Multiply three or four numbers: word problems
17. C.17Multiply 3-digit by 2-digit numbers
18. C.18Multiply 3-digit by 2-digit numbers: word problems
19. C.19Inequalities with multiplication

## Division

1. D.1Division facts to 12
2. D.2Division facts to 12: word problems
3. D.3Divide by one-digit numbers
4. D.4Divide by one-digit numbers: word problems
5. D.5Divide by one-digit numbers: interpret remainders
6. D.6Estimate quotients
7. D.7Estimate quotients: word problems
8. D.8Division patterns over increasing place values
9. D.9Divide numbers ending in zeroes
10. D.10Divide numbers ending in zeroes: word problems
11. D.11Choose numbers with a particular quotient
12. D.12Divide by two-digit numbers
13. D.13Divide by two-digit numbers: word problems

## Number theory

1. E.1Prime and composite numbers
2. E.2Prime factorization
3. E.3Divisibility rules
4. E.4Divisibility rules: word problems
5. E.5Greatest common factor
6. E.6Least common multiple

## Decimals

1. F.1What decimal number is illustrated?
2. F.2Model decimals and fractions
3. F.3Understanding decimals expressed in words
4. F.4Place values in decimal numbers
5. F.5Convert decimals between standard and expanded form
6. F.6Equivalent decimals
7. F.7Round decimals
8. F.8Decimal number lines
9. F.9Compare decimals on number lines
10. F.10Compare decimal numbers
11. F.11Put decimal numbers in order
12. F.12Convert fractions to decimals
13. F.13Convert decimals to fractions
14. F.14Convert decimals between standard and expanded form using fractions
15. F.15Compare decimals and fractions on number lines
16. F.16Compare decimals and fractions
17. F.17Put assorted decimals, fractions and mixed numbers in order

## Add and subtract decimals

1. G.1Add and subtract decimal numbers
2. G.2Add and subtract decimals: word problems
3. G.3Choose decimals with a particular sum or difference
4. G.4Complete the addition or subtraction sentence
5. G.5Inequalities with decimal addition and subtraction
6. G.6Estimate sums and differences of decimals

## Multiply and divide decimals

1. H.1Estimate products of decimals
2. H.2Multiply a decimal by a power of ten
3. H.3Multiply decimals and whole numbers
4. H.4Multiply decimals and whole numbers: word problems
5. H.5Inequalities with decimal multiplication
6. H.6Divide by powers of ten
7. H.7Decimal division patterns over increasing place values

## Money

1. I.1Add and subtract money amounts
2. I.2Add and subtract money: word problems
3. I.3Multiply money amounts: word problems
4. I.4Multiply money amounts with decimals: word problems
5. I.5Divide money amounts with decimals: word problems

## Fractions and mixed numbers

1. J.1Show fractions: fraction bars
2. J.2Show fractions: area models
3. J.3Fractions review
4. J.4Fractions of a whole: word problems
5. J.5Fractions of a group: word problems
6. J.6Mixed numbers
7. J.7Fractions of a number
8. J.8Fractions of a number: word problems
9. J.9Arithmetic sequences with fractions
10. J.10Geometric sequences with fractions
11. J.11Round mixed numbers

## Fraction equivalence and ordering

1. K.1Find equivalent fractions using area models
2. K.2Graph equivalent fractions on number lines
3. K.3Equivalent fractions
4. K.4Patterns of equivalent fractions
5. K.5Write fractions in lowest terms
6. K.6Graph and compare fractions on number lines
7. K.7Compare fractions
8. K.8Compare fractions and mixed numbers
9. K.9Order fractions with like denominators
10. K.10Order fractions with like numerators
11. K.11Order fractions

## Add and subtract fractions

1. L.1Decompose fractions multiple ways
2. L.2Add and subtract fractions with like denominators using number lines
3. L.3Add and subtract fractions with like denominators
4. L.4Add and subtract fractions with like denominators: word problems
5. L.5Add and subtract mixed numbers with like denominators
6. L.6Add and subtract mixed numbers with like denominators: word problems
7. L.7Add up to 4 fractions with denominators of 10 and 100
8. L.8Add three or more fractions
9. L.9Add three or more fractions: word problems
10. L.10Complete addition and subtraction sentences with fractions
11. L.11Inequalities with addition and subtraction of fractions
12. L.12Estimate sums and differences of mixed numbers

## Multiply fractions

1. M.1Multiply unit fractions by whole numbers using number lines
2. M.2Multiply unit fractions by whole numbers using models
3. M.3Multiples of fractions
4. M.4Multiply unit fractions and whole numbers: sorting
5. M.5Multiply fractions by whole numbers using number lines
6. M.6Multiply fractions by whole numbers using models
7. M.7Multiply fractions and whole numbers: sorting
8. M.8Multiply fractions by whole numbers
9. M.9Multiply fractions by whole numbers: input/output tables

## Mixed operations

1. N.1Add, subtract, multiply and divide whole numbers
2. N.2Add, subtract, multiply and divide whole numbers: word problems
3. N.3Write numerical expressions
4. N.4Evaluate numerical expressions
5. N.5Add, subtract, multiply and divide decimals
6. N.6Add, subtract and multiply decimals: word problems

## Problem solving

1. O.1Multi-step word problems
2. O.2Word problems with extra or missing information
3. O.3Guess-and-check problems
4. O.4Find the order
5. O.5Use Venn diagrams to solve problems
6. O.6Price lists

## Patterns and sequences

1. P.1Find the next shape in a repeating pattern
2. P.2Complete a repeating pattern
3. P.3Make a repeating pattern
4. P.4Find the next row in a growing pattern of shapes
5. P.5Complete an increasing number sequence
6. P.6Complete a geometric number sequence
7. P.7Use a rule to complete a number sequence
8. P.8Number sequences: word problems
9. P.9Number sequences: mixed review

## Coordinate plane

1. Q.1Objects on a coordinate plane
2. Q.2Graph points on a coordinate plane
3. Q.3Coordinate planes as maps

## Variable expressions

1. R.1Write variable expressions
2. R.2Write variable expressions: word problems
3. R.3Evaluate variable expressions
4. R.4Write variable equations: word problems
5. R.5Solve equations with whole numbers
6. R.6Find a value using two-variable equations
7. R.7Complete a table for a two-variable relationship
8. R.8Complete a table from a graph
9. R.9Graph a two-variable relationship
10. R.10Write a two-variable equation

## Data and graphs

1. S.1Read a table
2. S.2Interpret line graphs
3. S.3Create line graphs
4. S.4Interpret bar graphs
5. S.5Create bar graphs
6. S.6Interpret pictographs
7. S.7Create pictographs
8. S.8Interpret histograms
9. S.9Create histograms
10. S.10Interpret line plots
11. S.11Create line plots
12. S.12Frequency charts
13. S.13Stem-and-leaf plots
14. S.14Circle graphs
15. S.15Choose the best type of graph

## Probability and statistics

1. T.1Calculate mean, median and mode
2. T.2Mean, median and mode: find the missing number
3. T.3Interpret charts to find mean, median and mode
4. T.4Understanding probability
5. T.5Find the probability
6. T.6Make predictions
7. T.7Combinations

## Time

1. U.1Convert time units
2. U.2Add and subtract mixed time units
3. U.3Elapsed time
4. U.4Find start and end times: word problems
5. U.5Convert between 12-hour and 24-hour time
6. U.6Time zones - 12-hour time
7. U.7Time zones - 24-hour time
8. U.8Schedules and timelines - 12-hour time
9. U.9Schedules - 24-hour time
10. U.10Time patterns

## Units of measurement

1. V.1Choose the appropriate metric unit of measure
2. V.2Compare and convert metric units of length
3. V.3Compare and convert metric units of mass
4. V.4Compare and convert metric units of volume
5. V.5Choose the more reasonable temperature

## Two-dimensional figures

1. W.1Is it a polygon?
2. W.2Number of sides in polygons
3. W.3Regular and irregular polygons
4. W.4Parallel, perpendicular and intersecting lines
5. W.5Types of angles
6. W.6Measure angles with a protractor
7. W.7Classify triangles
8. W.8Parallel sides in quadrilaterals
9. W.9Identify parallelograms
10. W.10Identify trapezoids
11. W.11Identify rectangles
12. W.12Identify rhombuses
13. W.13Classify quadrilaterals

## Symmetry and transformations

1. X.1Lines of symmetry
2. X.2Rotational symmetry
3. X.3Reflection, rotation and translation
4. X.4Identify congruent and similar figures

## Three-dimensional figures

1. Y.1Identify three-dimensional figures
2. Y.2Count vertices, edges and faces
3. Y.3Nets of three-dimensional figures
4. Y.4Three-dimensional figures viewed from different perspectives

## Geometric measurement

1. Z.1Perimeter with whole number side lengths
2. Z.2Perimeter with decimal side lengths
3. Z.3Area of squares and rectangles
4. Z.4Area and perimeter of figures on grids
5. Z.5Use area and perimeter to determine cost
6. Z.6Volume of rectangular prisms made of unit cubes
7. Z.7Volume of irregular figures made of unit cubes
8. Z.8Volume of cubes and rectangular prisms
9. Z.9Surface area