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# Ontario

### Skills available for Ontario grade 5 math curriculum

Expectations are in black and skills are in blue.Â Click on the name of the skill to practice that skill.

### 5.B Number

#### 5.B1 Number Sense

##### Whole Numbers

##### 5.B1.1 read, represent, compose, and decompose whole numbers up to and including 100 000, using appropriate tools and strategies, and describe various ways they are used in everyday life

##### 5.B1.2 compare and order whole numbers up to and including 100 000, in various contexts

##### Fractions, Decimals, and Percents

##### 5.B1.3 represent equivalent fractions from halves to twelfths, including improper fractions and mixed numbers, using appropriate tools, in various contexts

##### 5.B1.4 compare and order fractions from halves to twelfths, including improper fractions and mixed numbers, in various contexts

- Graph and compare fractions on number linesÂ (5-P.1)
- Benchmark fractionsÂ (5-P.2)
- Compare fractions using benchmarksÂ (5-P.3)
- Compare fractionsÂ (5-P.4)
- Compare fractions and mixed numbersÂ (5-P.5)
- Order fractions with like denominatorsÂ (5-P.6)
- Order fractions with like numeratorsÂ (5-P.7)
- Order fractions with unlike denominatorsÂ (5-P.8)
- Order fractions reviewÂ (5-P.9)

##### 5.B1.5 read, represent, compare, and order decimal numbers up to hundredths, in various contexts

- What decimal number is illustrated?Â (5-G.1)
- Understanding decimals expressed in words: up to hundredthsÂ (5-G.3)
- Expanded form of decimals up to hundredthsÂ (5-G.5)
- Decimal number linesÂ (5-G.8)
- Compare decimals using gridsÂ (5-G.9)
- Compare decimals on number linesÂ (5-G.10)
- Compare decimal numbers up to hundredthsÂ (5-G.11)
- Put decimals in order: up to hundredthsÂ (5-G.12)

##### 5.B1.6 round decimal numbers to the nearest tenth, in various contexts

##### 5.B1.7 describe relationships and show equivalences among fractions, decimal numbers up to hundredths, and whole number percents, using appropriate tools and drawings, in various contexts

- Model decimals and fractionsÂ (5-G.2)
- Convert fractions to decimals: up to hundredthsÂ (5-G.13)
- Convert decimals to fractions: up to hundredthsÂ (5-G.14)
- Convert decimals between standard and expanded form using fractions: up to hundredthsÂ (5-G.15)
- Compare decimals and fractions on number linesÂ (5-G.16)
- Compare decimals and fractions: up to hundredthsÂ (5-G.17)
- Convert fractions to percents using grid modelsÂ (5-Y.3)
- Represent percents with grid models, decimals and fractionsÂ (5-Y.4)
- Convert between percents and fractionsÂ (5-Y.5)
- Convert between percents and decimalsÂ (5-Y.6)
- Convert between percents, fractions and decimalsÂ (5-Y.7)
- Compare percents to each other and to fractions and decimalsÂ (5-Y.8)
- Compare percents and fractions: word problemsÂ (5-Y.9)

#### 5.B2 Operations

##### Properties and Relationships

##### 5.B2.1 use the properties of operations, and the relationships between operations, to solve problems involving whole numbers and decimal numbers, including those requiring more than one operation, and check calculations

- Complete addition and subtraction sentencesÂ (5-B.5)
- Properties of additionÂ (5-B.8)
- Add using propertiesÂ (5-B.9)
- Properties of multiplicationÂ (5-C.8)
- Multiply using propertiesÂ (5-C.9)
- Multi-step word problems: multiplicative comparisonÂ (5-D.22)
- Relate multiplication and divisionÂ (5-D.23)
- Complete the decimal addition or subtraction sentence: up to hundredthsÂ (5-I.7)
- Evaluate numerical expressionsÂ (5-V.4)
- Identify mistakes involving the order of operationsÂ (5-V.5)
- Evaluate numerical expressions with parentheses in different placesÂ (5-V.6)
- Multi-step word problemsÂ (5-W.3)
- Multi-step word problems: identify reasonable answersÂ (5-W.4)

##### Math Facts

##### 5.B2.2 recall and demonstrate multiplication facts from 0 Ã— 0 to 12 Ã— 12, and related division facts

##### Mental Math

##### 5.B2.3 use mental math strategies to multiply whole numbers by 0.1 and 0.01 and estimate sums and differences of decimal numbers up to hundredths, and explain the strategies used

##### Addition and Subtraction

##### 5.B2.4 represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 100 000, and of decimal numbers up to hundredths, using appropriate tools, strategies, and algorithms

- Add and subtract whole numbers up to 100Â 000Â (5-B.1)
- Add and subtract whole numbers up to 100Â 000: word problemsÂ (5-B.3)
- Add decimal numbers up to hundredthsÂ (5-I.2)
- Subtract decimal numbers up to hundredthsÂ (5-I.3)
- Add and subtract decimal numbers up to hundredthsÂ (5-I.4)
- Add and subtract decimals up to hundredths: word problemsÂ (5-I.5)
- Add and subtract money amountsÂ (5-M.1)
- Add and subtract money: word problemsÂ (5-M.2)
- Price lists with addition and subtractionÂ (5-M.3)

##### 5.B2.5 add and subtract fractions with like denominators, in various contexts

- Decompose fractions multiple waysÂ (5-Q.1)
- Add fractions with like denominators using area modelsÂ (5-Q.2)
- Add fractions with like denominators using strip modelsÂ (5-Q.3)
- Add fractions with like denominators using number linesÂ (5-Q.4)
- Add fractions with like denominatorsÂ (5-Q.5)
- Subtract fractions with like denominators using area modelsÂ (5-Q.6)
- Subtract fractions with like denominators using strip modelsÂ (5-Q.7)
- Subtract fractions with like denominators using number linesÂ (5-Q.8)
- Subtract fractions with like denominatorsÂ (5-Q.9)
- Add and subtract fractions with like denominators using number linesÂ (5-Q.10)
- Add and subtract fractions with like denominatorsÂ (5-Q.11)
- Add and subtract fractions with like denominators: word problemsÂ (5-Q.12)
- Add three or more fractions with like denominatorsÂ (5-Q.13)
- Add three or more fractions with like denominators: word problemsÂ (5-Q.14)
- Add and subtract mixed numbers with like denominatorsÂ (5-Q.18)
- Add and subtract mixed numbers with like denominators: word problemsÂ (5-Q.19)

##### Multiplication and Divsion

##### 5.B2.6 represent and solve problems involving the multiplication of two-digit whole numbers by two-digit whole numbers using the area model and using algorithms, and make connections between the two methods

- Multiply 2-digit numbers by 2-digit numbers using area models IÂ (5-C.13)
- Multiply 2-digit numbers by 2-digit numbers using area models IIÂ (5-C.14)
- Multiply 2-digit numbers by 2-digit numbers: complete the missing stepsÂ (5-C.15)
- Multiply 2-digit numbers by 2-digit numbersÂ (5-C.16)
- Multiply 2-digit numbers by 2-digit numbers: word problemsÂ (5-C.17)

##### 5.B2.7 represent and solve problems involving the division of three-digit whole numbers by two-digit whole numbers using the area model and using algorithms, and make connections between the two methods, while expressing any remainder appropriately

##### 5.B2.8 multiply and divide one-digit whole numbers by unit fractions, using appropriate tools and drawings

- Multiply unit fractions by whole numbers using number linesÂ (5-S.1)
- Multiply unit fractions by whole numbers: choose the modelÂ (5-S.2)
- Multiply unit fractions and whole numbers: sortingÂ (5-S.4)
- Multiply unit fractions by whole numbersÂ (5-S.5)
- Multiply unit fractions by whole numbers: word problemsÂ (5-S.6)
- Divide whole numbers by unit fractions using modelsÂ (5-T.1)
- Divide whole numbers by unit fractions using area modelsÂ (5-T.2)
- Divide whole numbers by unit fractionsÂ (5-T.3)

##### 5.B2.9 represent and create equivalent ratios and rates, using a variety of tools and models, in various contexts

### 5.C Algebra

#### 5.C1 Patterns and Relationships

##### Patterns

##### 5.C1.1 identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts

##### 5.C1.2 create and translate growing and shrinking patterns using various representations, including tables of values and graphs

##### 5.C1.3 determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating, growing, and shrinking patterns

- Find the next shape in a repeating patternÂ (5-Z.1)
- Complete a repeating patternÂ (5-Z.2)
- Find the next row in a growing pattern of shapesÂ (5-Z.4)
- Complete an increasing number sequenceÂ (5-Z.8)
- Complete a geometric number sequenceÂ (5-Z.9)
- Number sequences: word problemsÂ (5-Z.10)
- Number sequences: mixed reviewÂ (5-Z.11)

##### 5.C1.4 create and describe patterns to illustrate relationships among whole numbers and decimal tenths and hundredths

- Addition patterns over increasing place valuesÂ (5-B.10)
- Subtraction patterns over increasing place valuesÂ (5-B.11)
- Multiplication patterns over increasing place valuesÂ (5-C.5)
- Division patterns over increasing place valuesÂ (5-D.8)
- Decimal division patterns over increasing place valuesÂ (5-L.2)
- Identify mistakes in number patternsÂ (5-Z.7)

#### 5.C2 Equations and Inequalities

##### Variables and Expressions

##### 5.C2.1 translate among words, algebraic expressions, and visual representations that describe equivalent relationships

##### 5.C2.2 evaluate algebraic expressions that involve whole numbers

##### Equalities and Inequalities

##### 5.C2.3 solve equations that involve whole numbers up to 100 in various contexts, and verify solutions

- Does x satisfy an equation?Â (5-CC.1)
- Which value makes the equation true?Â (5-CC.2)
- Model and solve equations using algebra tilesÂ (5-CC.4)
- Write and solve equations that represent diagramsÂ (5-CC.5)
- Solve addition and subtraction equations with whole numbersÂ (5-CC.6)
- Solve multiplication and division equations with whole numbersÂ (5-CC.7)
- Solve equations with whole numbersÂ (5-CC.8)
- Write a one-step equation: word problemsÂ (5-CC.9)
- Which word problem matches the one-step equation?Â (5-CC.10)