New Brunswick · Grade 5
Mathematics, Grade 5
New Brunswick’s Grade 5 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 9
- Skills
- 38
- Provincial exam
- Yes
- Official curriculum
- New Brunswick Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, numbered by unit.
Unit 1 · 17 skills
Number
Numbers and Estimation
Whole numbers to 1 000 000
I can read, write, and describe numbers up to a million.
Skill 1.1
Front-end rounding and compensation
I can estimate using front-end rounding and compensation.
Skill 1.2
Compatible numbers
I can estimate using compatible numbers.
Skill 1.3
Mental Math, Multiplication, and Division
Skip-counting and doubling/halving for facts to 81
I can use skip-counting and doubling to find facts to 81.
Skill 1.4
Nines patterns and repeated doubling/halving
I can use 9s patterns and repeated doubling to find facts.
Skill 1.5
Annexing zero and halving/doubling for multiplication
I can multiply mentally by annexing zero and by halving and doubling.
Skill 1.6
Using the distributive property
I can multiply mentally by breaking a number into parts.
Skill 1.7
Multiplying 2-digit by 2-digit
I can multiply two 2-digit numbers.
Skill 1.8
Dividing with remainders
I can divide a 3-digit number and interpret the remainder.
Skill 1.9
Fractions and Decimals
Equivalent fractions
I can find fractions that name the same amount.
Skill 1.10
Comparing fractions with like and unlike denominators
I can compare fractions even when the bottoms differ.
Skill 1.11
Decimals to thousandths
I can show and describe decimals to thousandths.
Skill 1.12
Decimals and fractions to thousandths
I can write a decimal to thousandths as a fraction and back.
Skill 1.13
Comparing decimals with benchmarks
I can compare decimals using benchmarks.
Skill 1.14
Comparing decimals with place value and equivalents
I can compare decimals by place value and by writing equivalents.
Skill 1.15
Adding decimals to thousandths
I can add decimals to thousandths.
Skill 1.16
Subtracting decimals to thousandths
I can subtract decimals to thousandths.
Skill 1.17
The official wording · 17 outcomes
- 1.1
- Represent and describe whole numbers to 1 000 000.
- 1.2
- Use estimation strategies, including: front-end rounding; compensation
- 1.3
- compatible numbers in problem-solving contexts.
- 1.4
- Apply mental mathematics strategies and number properties, such as: skip counting from a known fact; using doubling or halving
- 1.5
- using patterns in the 9s facts; using repeated doubling or halving to determine answers for basic multiplication facts to 81 and related division facts.
- 1.6
- Apply mental mathematics strategies for multiplication, such as: annexing then adding zero; halving and doubling
- 1.7
- using the distributive property.
- 1.8
- Demonstrate an understanding of multiplication (2-digit by 2-digit) to solve problems.
- 1.9
- Demonstrate, with and without concrete materials, an understanding of division (3-digit by 1-digit) and interpret remainders to solve problems.
- 1.10
- Demonstrate an understanding of fractions by using concrete and pictorial representations to: create sets of equivalent fractions
- 1.11
- compare fractions with like and unlike denominators.
- 1.12
- Describe and represent decimals (tenths, hundredths, thousandths) concretely, pictorially and symbolically.
- 1.13
- Relate decimals to fractions (to thousandths).
- 1.14
- Compare and order decimals (to thousandths), by using: benchmarks
- 1.15
- place value; equivalent decimals.
- 1.16
- Demonstrate an understanding of addition and subtraction of decimals (limited to thousandths).
- 1.17
- Demonstrate an understanding of addition and subtraction of decimals (limited to thousandths).
Key ideas
Numbers to a million have ones, thousands, and millions periods.
From a known fact, skip-count on to a nearby fact.
Equivalent fractions name the same part, like 1/2 and 2/4.
Each digit's place tells its value.
Doubling a 4s fact gives an 8s fact.
Watch out for
- Misgrouping the periods when reading.
- Adding the wrong number of groups.
- Changing only the top or only the bottom.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 2 skills
Patterns and Relations
Patterns & Relations
Pattern Rules and Equations
Pattern rules and predictions
I can find a pattern's rule and predict later terms.
Skill 2.1
One-step equations
I can solve a one-step equation with one variable.
Skill 2.2
The official wording · 2 outcomes
- 2.1
- Determine the pattern rule to make predictions about subsequent terms (elements).
- 2.2
- Solve problems involving single-variable, one-step equations with whole number coefficients and whole number solutions.
Key ideas
A pattern rule tells how each term relates to the position.
We use the rule to predict a term we cannot see.
We undo the operation to isolate the variable.
We keep both sides balanced.
Watch out for
- Describing only the difference, not the full rule.
- Extending term-by-term instead of using the rule.
- Doing the operation instead of undoing it.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 15 skills
Shape and Space
Perimeter, Area, and Length
Rectangles from perimeter or area
I can build rectangles for a given perimeter or area and draw conclusions.
Skill 3.1
Measuring length (mm and km)
I can measure and reason about length in millimetres and kilometres.
Skill 3.2
Volume
Referents for volume
I can choose a good referent for a cubic centimetre and a cubic metre.
Skill 3.3
Estimating volume
I can estimate a solid's volume using a referent.
Skill 3.4
Measuring and recording volume
I can measure and record a solid's volume.
Skill 3.5
Building prisms for a given volume
I can build rectangular prisms with a given volume.
Skill 3.6
Capacity
Millilitres and litres
I know 1000 millilitres make one litre.
Skill 3.7
Referents for capacity
I can choose a good referent for a millilitre and a litre.
Skill 3.8
Estimating capacity
I can estimate a container's capacity using a referent.
Skill 3.9
Measuring and recording capacity
I can measure and record how much a container holds.
Skill 3.10
Geometry and Transformations
Parallel, intersecting, and perpendicular
I can find parallel, intersecting, and perpendicular edges and sides.
Skill 3.11
Vertical and horizontal
I can find vertical and horizontal edges and sides.
Skill 3.12
Sorting quadrilaterals
I can sort quadrilaterals by their attributes.
Skill 3.13
Performing a transformation
I can slide, turn, or flip a shape and draw the image.
Skill 3.14
Identifying a transformation
I can name the transformation that moved a shape.
Skill 3.15
The official wording · 15 outcomes
- 3.1
- Design and construct different rectangles given either perimeter or area, or both (whole numbers) and draw conclusions.
- 3.2
- Demonstrate an understanding of measuring length (mm and km).
- 3.3
- Demonstrate an understanding of volume by: selecting and justifying referents for cm3 or m3 units
- 3.4
- estimating volume by using referents for cm3 or m3
- 3.5
- measuring and recording volume (cm3 or m3)
- 3.6
- constructing rectangular prisms for a given volume.
- 3.7
- Demonstrate an understanding of capacity by: describing the relationship between mL and L
- 3.8
- selecting and justifying referents for mL or L units
- 3.9
- estimating capacity by using referents for mL or L
- 3.10
- measuring and recording capacity (mL or L).
- 3.11
- Describe and provide examples of edges and faces of 3-D objects and sides of 2-D shapes that are: parallel; intersecting; perpendicular
- 3.12
- vertical; horizontal.
- 3.13
- Identify and sort quadrilaterals, including: rectangles; squares; trapezoids; parallelograms; rhombuses according to their attributes.
- 3.14
- Perform a single transformation (translation, rotation or reflection) of a 2-D shape, (with and without technology) and draw and describe the image.
- 3.15
- Identify a single transformation including a translation, a rotation and a reflection of 2-D shapes.
Key ideas
Different rectangles can share the same perimeter or the same area.
Volume counts cubic units filling a space.
Capacity is how much a container holds.
Parallel lines never meet; intersecting lines cross.
Rectangles with the same area can have different perimeters.
Watch out for
- Confusing perimeter and area.
- Confusing volume with area.
- Thinking a litre has 100 or 10 millilitres.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 4 skills
Statistics and Probability
Data and Probability
First-hand and second-hand data
I can tell first-hand data from second-hand data.
Skill 4.1
Double bar graphs
I can build and read a double bar graph.
Skill 4.2
Likelihood of a single outcome
I can describe how likely one outcome is.
Skill 4.3
Comparing the likelihood of two outcomes
I can compare how likely two outcomes are.
Skill 4.4
The official wording · 4 outcomes
- 4.1
- Differentiate between first-hand and second-hand data.
- 4.2
- Construct and interpret double bar graphs to draw conclusions.
- 4.3
- Describe the likelihood of a single outcome occurring using words, such as: impossible; possible; certain.
- 4.4
- Compare the likelihood of two possible outcomes occurring using words, such as: less likely; equally likely; more likely.
Key ideas
First-hand data is collected by us directly.
Second-hand data comes from another source, like a book or website.
A double bar graph compares two groups side by side.
A legend tells what each colour of bar represents.
Impossible means it cannot happen; certain means it always happens.
Watch out for
- Thinking all data we use is first-hand.
- Confusing the source of the data.
- Forgetting the legend.
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 New Brunswick’s own curriculum for Mathematics, Grade 5.
Strands
| Strand | Outcomes | Taught in |
|---|---|---|
| NNumber | Outcomes 11 | Taught in Unit 1 |
| PRPatterns & Relations | Outcomes 2 | Taught in Unit 2Patterns and Relations |
| SSShape and Space | Outcomes 8 | Taught in Unit 3 |
| SPStatistics and Probability | Outcomes 4 | Taught in Unit 4 |
Study it in MapleMind
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Course Companion
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Questions about Mathematics, Grade 5
What is Mathematics, Grade 5?
New Brunswick’s Grade 5 math course: 4 units and 38 skills, from Number to Statistics and Probability.
What units are in Mathematics, Grade 5?
1. Number, 2. Patterns and Relations, 3. Shape and Space and 4. Statistics and Probability.
Is there a provincial exam for Mathematics, Grade 5?
Yes. The Grade 5 Mathematics Assessment is written in New Brunswick. Next sitting: May 25, 2027.
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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