Newfoundland & Labrador · Grade 5
Mathematics, Grade 5
Newfoundland & Labrador’s Grade 5 math course, from Large Numbers to Probability.
- Units
- 11
- Lessons
- 16
- Skills
- 46
- Provincial exam
- None
- Official curriculum
- Government of Newfoundland and Labrador, Department of Education
Unit by unit
Every skill in the course, numbered by unit.
Unit 1 · 1 skill
Large Numbers
Large Numbers Around Us
Large numbers in media
I can find and read large numbers in everyday life.
Skill 1.1
The official wording · 1 outcomes
- 1.1
- Provide examples of large numbers used in print or electronic media
Key ideas
Large numbers appear in sports, populations, and prices.
We read large numbers by their periods.
Watch out for
- Misreading the periods of a large number.
- Confusing thousands with millions.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 2 skills
Representing Whole Numbers
Numbers to a Million
Writing numbers to a million
I can read and write numbers up to a million.
Skill 2.1
Meaning of digits and expanded notation
I can write large numbers in expanded notation.
Skill 2.2
The official wording · 2 outcomes
- 2.1
- Write a given numeral to 1 000 000 in words
- 2.2
- Describe the meaning of each digit in a given numeral
Key ideas
Numbers to a million have ones, thousands, and millions periods.
Each place to the left is ten times the one to its right.
Each digit's place tells its value.
Expanded notation adds the value of each digit.
Watch out for
- Misgrouping the periods when reading.
- Placing a comma instead of a space.
- Dropping a place with zero.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 7 skills
Fractions and Decimals
Equivalent Fractions
Making equivalent fractions
I can make and recognize equivalent fractions.
Skill 3.1
Comparing and ordering fractions
I can compare and order fractions with unlike denominators.
Skill 3.2
Decimals to Thousandths
Tenths, hundredths, and thousandths
I can show that a tenth equals ten hundredths and a hundred thousandths.
Skill 3.3
Decimal place value and representation
I can explain and round decimals to thousandths.
Skill 3.4
Ordering decimals
I can order decimals to thousandths.
Skill 3.5
Fractions and decimals
I can change between fractions and decimals.
Skill 3.6
Rounding decimals
I can round decimals to a chosen place.
Skill 3.7
The official wording · 7 outcomes
- 3.1
- Create a set of equivalent fractions; and explain, using concrete materials, why there are many equivalent fractions for any given fraction
- 3.2
- Compare two given fractions with unlike denominators by creating equivalent fractions
- 3.3
- Express a given tenth as an equivalent hundredth and thousandth
- 3.4
- Describe the value of each digit in a given decimal
- 3.5
- Order a given set of decimals including only tenths, using place value
- 3.6
- Express orally and in written form, a given decimal as a fraction with a denominator of 10, 100 or 1 000
- 3.7
- Round decimals to the nearest whole number, nearest tenth or nearest hundredth
Key ideas
Equivalent fractions name the same amount.
0.3 equals 0.30 equals 0.300.
Multiplying the numerator and denominator by the same number keeps the value.
Each place to the right is ten times smaller.
Equivalent fractions let us compare unlike denominators.
Watch out for
- Adding instead of multiplying both parts.
- Thinking 0.3 and 0.30 are different amounts.
- Changing only the numerator or only the denominator.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 10 skills
Multiplication and Division
Two-Digit Multiplication
Multiplying and dividing with zero
I can explain the special rules for zero.
Skill 4.1
Two-digit multiplication with models
I can multiply two-digit numbers using an area model.
Skill 4.2
Multiplying near multiples of ten
I can multiply numbers close to a multiple of ten.
Skill 4.3
Division
Dividing with models and strategies
I can divide using models and an efficient strategy.
Skill 4.4
Interpreting the remainder
I can decide what a remainder means in a problem.
Skill 4.5
Solving multiplication and division problems
I can solve and create multiplication and division problems.
Skill 4.6
Mental Math and Estimation
Mental multiplication strategies
I can multiply in my head using smart strategies.
Skill 4.7
Recalling multiplication and division facts
I can recall my multiplication and division facts.
Skill 4.8
Estimation strategies
I can estimate using compatible numbers and compensation.
Skill 4.9
Front-end rounding
I can estimate using front-end rounding.
Skill 4.10
The official wording · 10 outcomes
- 4.1
- Explain why multiplying by zero produces a product of zero
- 4.2
- Model the steps for multiplying two-digit factors, using an array and base ten blocks, and record the process symbolically
- 4.3
- Apply the distributive property to determine a given product involving multiplying factors that are close to multiples of 10
- 4.4
- Model the division process as equal sharing, using base ten blocks, and record it symbolically
- 4.5
- Explain that the interpretation of a remainder depends on the context
- 4.6
- Solve a given multiplication problem in context, using personal strategies, and record the process
- 4.7
- Describe the mental mathematics strategy used to determine a given basic fact
- 4.8
- Demonstrate recall of multiplication facts to 9 × 9 and related division facts
- 4.9
- Determine the approximate solution to a given problem not requiring an exact answer
- 4.10
- Apply front-end rounding to estimate
Key ideas
Zero groups of anything is zero.
Division shares a total into equal groups.
Halving and doubling keeps the product the same.
We cannot divide by zero.
An efficient strategy records the sharing steps.
Watch out for
- Thinking times zero gives the original number.
- Making unequal groups.
- Halving one factor without doubling the other.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 5 · 2 skills
Decimal Operations
Adding and Subtracting Decimals
Estimating and placing the decimal point
I can estimate decimal sums and place the decimal point.
Skill 5.1
Adding and subtracting decimals to thousandths
I can add and subtract decimals to thousandths.
Skill 5.2
The official wording · 2 outcomes
- 5.1
- Predict sums and differences of decimals, using estimation strategies
- 5.2
- Solve given and created problems that involve addition and subtraction of decimals, limited to thousandths
Key ideas
Estimating first tells us about where the point goes.
Compatible numbers make estimating easier.
We line up the decimal points and the place values.
Keeping place values straight keeps the answer correct.
Watch out for
- Ignoring the decimal part when rounding.
- Placing the point without checking the estimate.
- Not lining up the decimal points.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 6 · 2 skills
Patterns
Patterns and Expressions
Describing patterns with expressions
I can describe a pattern with a math expression.
Skill 6.1
Predicting and solving with patterns
I can predict pattern elements and solve problems with patterns.
Skill 6.2
The official wording · 2 outcomes
- 6.1
- Describe, orally or in writing, a given pattern, using mathematical language, such as one more, one less, five more
- 6.2
- Determine and explain why a given number is or is not the next element in a pattern
Key ideas
A pattern rule can be written as an expression.
A table shows the relationship between terms.
The rule tells what the next element should be.
We can verify a prediction by extending the pattern.
Watch out for
- Describing only the terms, not the rule.
- Writing an expression that does not match the table.
- Predicting without checking the rule.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 7 · 2 skills
Equations
Single-Variable Equations
Writing equations with a variable
I can write an equation with a letter for the unknown.
Skill 7.1
Solving single-variable equations
I can solve an equation for the unknown.
Skill 7.2
The official wording · 2 outcomes
- 7.1
- Express a given problem as an equation where the unknown is represented by a letter variable
- 7.2
- Solve a given single-variable equation with the unknown in any of the terms
Key ideas
A letter variable stands for the unknown number.
An equation can represent a word problem.
The unknown can be in any position.
We use inverse operations or reasoning to solve.
Watch out for
- Choosing the wrong operation.
- Forgetting to define what the variable means.
- Using the wrong inverse operation.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 8 · 7 skills
Measurement
Metric Length
Relating metric length units
I can relate millimetres, centimetres, metres, and kilometres.
Skill 8.1
Referents for metric lengths
I can give a referent for each metric length unit.
Skill 8.2
Referents for cubic and capacity units
I can match referents to cubic and capacity units.
Skill 8.3
Area, Perimeter, Volume, and Capacity
Area and perimeter relationships
I can explore how area and perimeter relate.
Skill 8.4
Volume of prisms
I can measure and build volume with cubes.
Skill 8.5
Capacity in litres and millilitres
I can measure capacity in litres and millilitres.
Skill 8.6
Greatest area for a perimeter
I can find which rectangle gives the greatest area for a perimeter.
Skill 8.7
The official wording · 7 outcomes
- 8.1
- Show that 10 millimeters is equivalent to one centimeter, using concrete materials
- 8.2
- Provide a referent for one kilometre, and explain the choice
- 8.3
- Determine which standard cubic unit is represented by a given referent
- 8.4
- Construct or draw two or more rectangles for a given perimeter in a problem-solving context
- 8.5
- Identify the cube as the most efficient unit for measuring volume, and explain why
- 8.6
- Demonstrate that 1 000 millilitres is equivalent to 1 litre by filling a 1 litre container using a combination of smaller containers
- 8.7
- Illustrate that for any given perimeter, the square or shape closest to a square will result in the greatest area
Key ideas
10 mm make 1 cm and 1000 mm make 1 m.
Rectangles with the same perimeter can have different areas.
1000 m make 1 km.
The shape closest to a square has the greatest area.
A referent is something we know that matches a unit.
Watch out for
- Confusing the number of millimetres in a centimetre and metre.
- Thinking same perimeter means same area.
- Mixing up metres and kilometres.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 9 · 7 skills
Geometry and Transformations
Lines and Quadrilaterals
Parallel and perpendicular sides
I can identify and describe parallel and perpendicular sides.
Skill 9.1
Sorting quadrilaterals
I can sort quadrilaterals by their properties.
Skill 9.2
Drawing shapes with described sides
I can draw shapes with parallel and perpendicular sides.
Skill 9.3
Parallel and perpendicular edges and faces
I can describe the edges and faces of solids as parallel or perpendicular.
Skill 9.4
Transformations
Describing transformations
I can describe slides, flips, and turns.
Skill 9.5
Performing transformations
I can perform a transformation and describe the image.
Skill 9.6
Rotating shapes and predicting results
I can rotate a shape and predict a transformation's result.
Skill 9.7
The official wording · 7 outcomes
- 9.1
- Identify parallel, intersecting, perpendicular, vertical and horizontal sides on 2-D shapes
- 9.2
- Identify and describe the characteristics of a pre-sorted set of quadrilaterals
- 9.3
- Draw 2-D shapes that have sides that are parallel, intersecting, perpendicular, vertical or horizontal
- 9.4
- Identify parallel, intersecting, perpendicular, vertical and horizontal edges and faces on 3-D objects
- 9.5
- Describe a given translation by identifying the direction and magnitude of the movement
- 9.6
- Translate a given 2-D shape horizontally, vertically or diagonally, and draw and describe the position and orientation of the image
- 9.7
- Rotate a given 2-D shape about a vertex, and describe the direction of rotation (clockwise or counterclockwise) and the fraction of the turn (limited to 1/4, 1/2, 3/4 or full turn)
Key ideas
Parallel sides never meet; perpendicular sides meet at a right angle.
A translation is a slide with a direction and distance.
We can describe sides, edges, and faces this way.
A reflection is a flip over a line; a rotation is a turn.
Quadrilaterals have four sides.
Watch out for
- Confusing parallel and perpendicular.
- Confusing a translation with a rotation.
- Missing that perpendicular lines form right angles.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 10 · 3 skills
Data
Data and Double Bar Graphs
First-hand and second-hand data
I can tell first-hand data from second-hand data.
Skill 10.1
Double bar graphs
I can make and read a double bar graph.
Skill 10.2
Double bar graphs in media
I can find and read double bar graphs in the real world.
Skill 10.3
The official wording · 3 outcomes
- 10.1
- Explain the difference between first-hand and second-hand data
- 10.2
- Represent a given set of data by creating a double bar graph, label the title and axes, and create a legend without the use of technology
- 10.3
- Provide examples of double bar graphs used in a variety of print and electronic media, such as newspapers, magazines and the Internet
Key ideas
First-hand data we collect ourselves.
Second-hand data comes from another source.
A double bar graph compares two groups side by side.
A legend tells what each bar colour means.
Double bar graphs appear in news and reports.
Watch out for
- Confusing first-hand and second-hand data.
- Thinking all data must be collected personally.
- Leaving off the legend.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 11 · 3 skills
Probability
Likelihood and Experiments
Describing likelihood
I can describe how likely an event is.
Skill 11.1
Conducting probability experiments
I can run and design probability experiments.
Skill 11.2
Designing comparative experiments
I can design an experiment where outcomes have different chances.
Skill 11.3
The official wording · 3 outcomes
- 11.1
- Provide examples of events, from personal contexts, that are impossible, possible or certain
- 11.2
- Conduct a given probability experiment a number of times, record the outcomes, and explain the results
- 11.3
- Design and conduct a probability experiment in which one outcome is less likely to occur than the other outcome
Key ideas
Events can be impossible, possible, or certain.
Outcomes can be less, equally, or more likely.
Repeating an experiment shows how often outcomes happen.
We can design an experiment for a chosen likelihood.
We can set up outcomes to be less, equally, or more likely.
Watch out for
- Calling a possible event certain.
- Thinking all outcomes are equally likely.
- Expecting exact equal results in a few trials.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.

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The official curriculum
This page follows Newfoundland & Labrador’s own curriculum for Mathematics, Grade 5.
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Questions about Mathematics, Grade 5
What is Mathematics, Grade 5?
Newfoundland & Labrador’s Grade 5 math course: 11 units and 46 skills, from Large Numbers to Probability.
What units are in Mathematics, Grade 5?
1. Large Numbers, 2. Representing Whole Numbers, 3. Fractions and Decimals, 4. Multiplication and Division, 5. Decimal Operations, 6. Patterns, 7. Equations, 8. Measurement, 9. Geometry and Transformations, 10. Data and 11. Probability.
Is there a provincial exam for Mathematics, Grade 5?
No. Newfoundland & Labrador gives no provincial exam for Mathematics, Grade 5.
What comes after Mathematics, Grade 5?
Mathematics, Grade 6.
Can MapleMind help with Mathematics, Grade 5?
Yes. MapleMind teaches every skill of Mathematics, Grade 5, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.