Nova Scotia · Grade 5
Mathematics, Grade 5
Nova Scotia’s Grade 5 math course, from Number to Statistics and Probability.
- Units
- 5
- Lessons
- 10
- Skills
- 34
- Provincial exam
- Yes
- Official curriculum
- Nova Scotia Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 16 skills
Number
Numbers to 1 000 000 and Estimation
Showing and reading numbers to a million
I can read, write, and show numbers up to a million.
Official code: N01
Partitioning and comparing to a million
I can break apart and compare numbers up to a million.
Official code: N01
Estimation strategies
I can pick a good estimation strategy for a problem.
Official code: N02
Facts and Multiplication
Recalling multiplication and division facts
I can quickly recall multiplication facts to 81 and their division facts.
Official code: N03
Multiplying by multiples of 10, 100, and 1000
I can multiply quickly by multiples of 10, 100, and 1000.
Official code: N04
Halving-doubling and the distributive property
I can use halving-doubling and the distributive property to multiply mentally.
Official code: N04
Two-digit multiplication with the area model
I can multiply two two-digit numbers using an area model.
Official code: N05
Solving two-digit multiplication problems
I can solve real two-digit multiplication problems.
Official code: N05
Division, Fractions, and Decimals
Dividing a three-digit number by a one-digit number
I can divide a three-digit number by a one-digit number.
Official code: N06
Interpreting remainders in context
I know what to do with a remainder depending on the problem.
Official code: N06
Equivalent fractions
I can make and recognize equivalent fractions.
Official code: N07
Comparing and ordering fractions
I can compare and order fractions, even with unlike denominators.
Official code: N07
Decimals to thousandths
I can read and show decimals to thousandths.
Official code: N08
Connecting decimals and fractions
I can write decimals as fractions and fractions as decimals to thousandths.
Official code: N09
Comparing and ordering decimals
I can compare and order decimals to thousandths.
Official code: N10
Adding and subtracting decimals
I can add and subtract decimals and check the decimal point.
Official code: N11
The official wording · 16 outcomes
- N01
- represent and partition whole numbers to 1 000 000.
- N01
- represent and partition whole numbers to 1 000 000.
- N02
- use estimation strategies, including front-end, front-end adjusted, rounding, and compatible numbers in problem-solving contexts.
- N03
- describe and apply mental mathematics strategies and number properties to recall, with fluency, answers for basic multiplication facts to 81 and related division facts.
- N04
- apply mental mathematics strategies for multiplication, including ▪ multiplying by multiples of 10, 100, and 1000
- N04
- apply mental mathematics strategies for multiplication, including ▪ halving and doubling ▪ using the distributive property
- N05
- demonstrate, with and without concrete materials, an understanding of multiplication (two-digit by two-digit) to solve problems.
- N05
- demonstrate, with and without concrete materials, an understanding of multiplication (two-digit by two-digit) to solve problems.
- N06
- demonstrate, with and without concrete materials, an understanding of division (three-digit by one-digit), and interpret remainders to solve problems.
- N06
- demonstrate, with and without concrete materials, an understanding of division (three-digit by one-digit), and interpret remainders to solve problems.
- N07
- demonstrate an understanding of fractions by using concrete, pictorial, and symbolic representations to ▪ create sets of equivalent fractions
- N07
- demonstrate an understanding of fractions by using concrete, pictorial, and symbolic representations to ▪ compare and order fractions with like and unlike denominators
- N08
- describe and represent decimals (tenths, hundredths, and thousandths) concretely, pictorially, and symbolically.
- N09
- relate decimals to fractions and fractions to decimals (to thousandths).
- N10
- compare and order decimals (to thousandths) by using benchmarks, place value, and equivalent decimals.
- N11
- demonstrate an understanding of addition and subtraction of decimals (limited to thousandths).
Key ideas
Each place is ten times the place to its right.
Multiplying by 0 always gives 0 (the zero property).
We can break the dividend into friendly parts to divide.
Expanded notation writes a number as the sum of its place values.
Dividing by 0 is not possible — it is undefined.
Watch out for
- Adding 'and' when reading a large whole number.
- Thinking 8 ÷ 0 equals 0.
- Dropping the remainder without noting it.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 2 skills
Patterns and Relations
Pattern Rules and Equations
Pattern rules and predictions
I can find a pattern rule and predict later terms.
Official code: PR01
One-step equations with a variable
I can solve a one-step equation with a letter variable.
Official code: PR02
The official wording · 2 outcomes
- PR01
- determine the pattern rule to make predictions about subsequent terms.
- PR02
- solve problems involving single-variable, one-step equations with whole number coefficients and whole number solutions.
Key ideas
A pattern rule can be written as an expression, like r + 5.
The rule lets us predict terms far ahead without listing them all.
A letter stands for the unknown, like n in n + 2 = 5.
We find the value that makes both sides equal.
Watch out for
- Finding a rule that fits only the first few terms.
- Confusing the term number with the term value.
- Using the wrong operation to undo the equation.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 7 skills
Measurement
Perimeter, Area, and Length
Rectangles for a given perimeter or area
I can build rectangles for a given perimeter or area and notice patterns.
Official code: M01
The millimetre
I know a good referent for a millimetre.
Official code: M02
Millimetres, centimetres, and metres
I know how millimetres, centimetres, and metres relate.
Official code: M02
Volume and Capacity
Volume: referents and estimating
I know that volume uses cubic units and can estimate it.
Official code: M03
Measuring volume and building prisms
I can measure a volume with cubes and build prisms for a given volume.
Official code: M03
Capacity: millilitres and litres
I know that 1000 mL make 1 L, and good referents for each.
Official code: M04
Estimating and measuring capacity
I can estimate and measure how much a container holds.
Official code: M04
The official wording · 7 outcomes
- M01
- design and construct different rectangles, given a perimeter or an area or both (whole numbers), and make generalizations.
- M02
- demonstrate an understanding of measuring length (mm) by ▪ selecting and justifying referents for the unit millimetre (mm)
- M02
- demonstrate an understanding of measuring length (mm) by ▪ modelling and describing the relationship between millimetre (mm) and centimetre (cm) units, and between millimetre (mm) and metre (m) units
- M03
- demonstrate an understanding of volume by ▪ selecting and justifying referents for cubic centimetre (cm3) or cubic metre (m3) units ▪ estimating volume using referents for cubic centimetre (cm3) or cubic metre (m3)
- M03
- demonstrate an understanding of volume by ▪ measuring and recording volume (cm3 or m3) ▪ constructing rectangular prisms for a given volume
- M04
- demonstrate an understanding of capacity by ▪ describing the relationship between millilitre (mL) and litre (L) units ▪ selecting and justifying referents for millilitre (mL) and litre (L) units
- M04
- demonstrate an understanding of capacity by ▪ estimating capacity using referents for millilitre (mL) and litre (L) ▪ measuring and recording capacity (mL or L)
Key ideas
Rectangles with the same perimeter can have different areas.
Volume is the space a 3-D object takes up, measured in cubic units.
The most square-like rectangle gives the greatest area for a perimeter.
A centimetre cube is a referent for a cubic centimetre.
A millimetre is a tiny unit — about the thickness of a dime.
Watch out for
- Thinking same perimeter means same area.
- Confusing volume (cubic units) with area (square units).
- Confusing perimeter (distance around) with area (space inside).
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 5 skills
Geometry
Lines and Right Angles
Parallel, perpendicular, and other lines
I can name lines as parallel, intersecting, perpendicular, vertical, or horizontal.
Official code: G01
Right angles
I can identify and sketch right angles.
Official code: G05
Transformations
Translations (slides)
I can slide a shape and describe how far and which way it moved.
Official code: G03
Rotations (turns)
I can turn a shape and describe the turn.
Official code: G03
Reflections (flips)
I can flip a shape over a line and describe the image.
Official code: G03
The official wording · 5 outcomes
- G01
- describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are parallel, intersecting, perpendicular, vertical, and horizontal.
- G05
- identify right angles.
- G03
- perform a single transformation (translation, rotation, or reflection) of a 2-D shape (with and without technology) and draw and describe the image.
- G03
- perform a single transformation (translation, rotation, or reflection) of a 2-D shape (with and without technology) and draw and describe the image.
- G03
- perform a single transformation (translation, rotation, or reflection) of a 2-D shape (with and without technology) and draw and describe the image.
Key ideas
Parallel lines never meet; perpendicular lines cross at a square corner.
A translation slides a shape without turning or flipping it.
Vertical lines go up and down; horizontal lines go side to side.
We describe a slide by its direction and how far it moved.
A right angle is a square corner, like the corner of a book.
Watch out for
- Confusing intersecting with perpendicular (perpendicular is a special square-corner cross).
- Turning or flipping the shape during a slide.
- Mixing up vertical and horizontal.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 5 · 4 skills
Statistics and Probability
Data and Double Bar Graphs
First-hand and second-hand data
I can tell first-hand data from second-hand data.
Official code: SP01
Double bar graphs
I can build and read a double bar graph.
Official code: SP02
Likelihood
Impossible, possible, and certain
I can describe how likely a single outcome is.
Official code: SP03
Comparing two outcomes
I can compare how likely two outcomes are.
Official code: SP04
The official wording · 4 outcomes
- SP01
- differentiate between first-hand and second-hand data.
- SP02
- construct and interpret double bar graphs to draw conclusions.
- SP03
- describe the likelihood of a single outcome occurring, using words such as impossible, possible, and certain.
- SP04
- compare the likelihood of two possible outcomes occurring, using words such as less likely, equally likely, or more likely.
Key ideas
First-hand data is what we collect ourselves.
An impossible event can never happen; a certain event always happens.
Second-hand data comes from another source, like a newspaper.
A possible event might or might not happen.
A double bar graph compares two sets of data side by side.
Watch out for
- Calling data found online first-hand.
- Calling a rare-but-possible event impossible.
- Thinking all data must be collected personally.
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 Nova Scotia’s own curriculum for Mathematics, Grade 5.
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Questions about Mathematics, Grade 5
What is Mathematics, Grade 5?
Nova Scotia’s Grade 5 math course: 5 units and 34 skills, from Number to Statistics and Probability.
What units are in Mathematics, Grade 5?
1. Number, 2. Patterns and Relations, 3. Measurement, 4. Geometry and 5. Statistics and Probability.
Is there a provincial exam for Mathematics, Grade 5?
Yes. The Nova Scotia Assessment: Reading, Writing, and Mathematics/Mathématiques in Grade 6 is written in Nova Scotia.
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.
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