Manitoba · Grade 5
Mathematics, Grade 5
Manitoba’s Grade 5 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 8
- Skills
- 37
- Provincial exam
- None
- Official curriculum
- Manitoba Education
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 20 skills
Number
Numbers to 1 000 000
Reading and writing numbers to a million
I can read and write numbers up to a million.
Official code: 5.N.1
Expanded notation to a million
I can write a large number in expanded form and back.
Official code: 5.N.1
Estimation and Mental Math
Front-end rounding and compensation
I can estimate using front-end rounding and compensation.
Official code: 5.N.2
Compatible numbers for estimating
I can estimate using compatible numbers.
Official code: 5.N.2
Multiplication facts to 81
I can use skip-counting and doubling to find multiplication facts.
Official code: 5.N.3
The 9s pattern and division facts
I can use the 9s pattern and connect multiplication to division.
Official code: 5.N.3
Mental strategies for bigger multiplication
I can multiply bigger numbers mentally.
Official code: 5.N.4
Using the distributive property
I can multiply using the distributive property.
Official code: 5.N.4
Multiplication and Division Algorithms
Multiplying with personal strategies and area models
I can multiply larger numbers with an area model.
Official code: 5.N.5
The standard multiplication algorithm
I can multiply using the standard algorithm and estimate first.
Official code: 5.N.5
Dividing and interpreting remainders
I can divide larger numbers and decide what to do with the remainder.
Official code: 5.N.6
The standard division algorithm
I can divide using long division and estimate first.
Official code: 5.N.6
Fractions and Decimals
Equivalent fractions
I can make equivalent fractions for a fraction.
Official code: 5.N.7
Comparing fractions with unlike denominators
I can compare fractions even when the denominators differ.
Official code: 5.N.7
Decimals to thousandths
I can show and read decimals to thousandths.
Official code: 5.N.8
Connecting decimals and fractions to thousandths
I can turn decimals into fractions to thousandths and back.
Official code: 5.N.9
Ordering decimals with benchmarks
I can order decimals using benchmarks and place value.
Official code: 5.N.10
Ordering decimals with equivalent decimals
I can order mixed decimals by making them equivalent.
Official code: 5.N.10
Adding and subtracting decimals
I can add and subtract decimals to thousandths.
Official code: 5.N.11
Estimating and solving decimal problems
I can estimate a decimal sum and solve decimal problems.
Official code: 5.N.11
The official wording · 20 outcomes
- 5.N.1
- Represent and describe whole numbers to 1 000 000.
- 5.N.1
- Represent and describe whole numbers to 1 000 000.
- 5.N.2
- Apply estimation strategies, including � front-end rounding � compensation in problem-solving contexts.
- 5.N.2
- Apply estimation strategies, including � compatible numbers in problem-solving contexts.
- 5.N.3
- Apply mental math strategies to determine multiplication and related division facts to 81 (9 x 9).
- 5.N.3
- Apply mental math strategies to determine multiplication and related division facts to 81 (9 x 9).
- 5.N.4
- Apply mental mathematics strategies for multiplication, such as n annexing then adding zeros n halving and doubling
- 5.N.4
- Apply mental mathematics strategies for multiplication, such as n using the distributive property
- 5.N.5
- Demonstrate an understanding of multiplication (1- and 2-digit multipliers and up to 4-digit multiplicands), concretely, pictorially, and symbolically, by n using personal strategies
- 5.N.5
- Demonstrate an understanding of multiplication (1- and 2-digit multipliers and up to 4-digit multiplicands), concretely, pictorially, and symbolically, by n using the standard algorithm n estimating products
- 5.N.6
- Demonstrate an understanding of division (1- and 2-digit divisors and up to 4-digit dividends), concretely, pictorially, and symbolically, and interpret remainders by n using personal strategies
- 5.N.6
- Demonstrate an understanding of division (1- and 2-digit divisors and up to 4-digit dividends), concretely, pictorially, and symbolically, and interpret remainders by n using the standard algorithm n estimating quotients
- 5.N.7
- Demonstrate an understanding of fractions by using concrete and pictorial representations to n create sets of equivalent fractions
- 5.N.7
- Demonstrate an understanding of fractions by using concrete and pictorial representations to n compare fractions with like and unlike denominators
- 5.N.8
- Describe and represent decimals (tenths, hundredths, thousandths) concretely, pictorially, and symbolically.
- 5.N.9
- Relate decimals to fractions (tenths, hundredths, thousandths).
- 5.N.10
- Compare and order decimals (tenths, hundredths, thousandths) by using � benchmarks � place value
- 5.N.10
- Compare and order decimals (tenths, hundredths, thousandths) by using � equivalent decimals
- 5.N.11
- Demonstrate an understanding of addition and subtraction of decimals (to thousandths), concretely, pictorially, and symbolically, by � using personal strategies � using the standard algorithms
- 5.N.11
- Demonstrate an understanding of addition and subtraction of decimals (to thousandths), concretely, pictorially, and symbolically, by � using estimation � solving problems
Key ideas
We write large numbers with spaces, not commas: 934 567.
Front-end rounding uses the leading digits: 253 + 615 is more than 200 + 600.
Partial products break both factors by place value: 36 x 42 = (30 + 6) x (40 + 2).
Equivalent fractions name the same quantity, like 1/2 and 2/4.
Each place moving left is ten times the one before.
Watch out for
- Using commas instead of spaces.
- Rounding to the wrong leading place value.
- Missing a partial product.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 3 skills
Patterns and Relations
Patterns and Equations
Pattern rules and predictions
I can find a pattern rule and use it to predict.
Official code: 5.PR.1
Writing single-variable equations
I can write an equation using a letter for the unknown.
Official code: 5.PR.2
Solving single-variable equations
I can solve a one-step equation for the letter variable.
Official code: 5.PR.2
The official wording · 3 outcomes
- 5.PR.1
- Determine the pattern rule to make predictions about subsequent elements.
- 5.PR.2
- Solve problems involving single-variable (expressed as symbols or letters), one-step equations with whole-number coefficients, and whole-number solutions.
- 5.PR.2
- Solve problems involving single-variable (expressed as symbols or letters), one-step equations with whole-number coefficients, and whole-number solutions.
Key ideas
A pattern rule describes how each element relates to the one before.
We can write a rule as an expression, like r + 5, to predict elements.
A letter variable, like n, stands for an unknown number.
A story problem can be written as a one-step equation.
We find the value of the variable that makes the equation true.
Watch out for
- Describing only two terms instead of the rule.
- Predicting without using the rule.
- Placing the variable in the wrong term.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 10 skills
Shape and Space
Measurement
Rectangles with given perimeter or area
I can build rectangles for a given perimeter or area.
Official code: 5.SS.1
Measuring in millimetres
I can measure in millimetres and relate mm, cm, and m.
Official code: 5.SS.2
Referents and estimating volume
I can pick referents for cubic units and estimate volume.
Official code: 5.SS.3
Measuring and building volume
I can measure volume and build a prism for a given volume.
Official code: 5.SS.3
Millilitres and litres
I can relate millilitres and litres and pick referents.
Official code: 5.SS.4
Estimating and measuring capacity
I can estimate and measure how much a container holds.
Official code: 5.SS.4
Geometry and Transformations
Parallel, perpendicular, and more
I can describe parallel, perpendicular, and intersecting lines.
Official code: 5.SS.5
Sorting quadrilaterals
I can sort quadrilaterals by their attributes.
Official code: 5.SS.6
Performing transformations
I can slide, turn, or flip a shape and describe the image.
Official code: 5.SS.7
Identifying transformations
I can name whether a shape was slid, turned, or flipped.
Official code: 5.SS.8
The official wording · 10 outcomes
- 5.SS.1
- Design and construct different rectangles given either perimeter or area or both (whole numbers), and draw conclusions.
- 5.SS.2
- Demonstrate an understanding of measuring length (mm) by � selecting and justifying referents for the unit mm � modelling and describing the relationship between mm and cm units, and between mm and m units
- 5.SS.3
- Demonstrate an understanding of volume by � selecting and justifying referents for cm3 or m3 units � estimating volume by using referents for cm3 or m3
- 5.SS.3
- Demonstrate an understanding of volume by � measuring and recording volume (cm3 or m3) � constructing rectangular prisms for a given volume
- 5.SS.4
- Demonstrate an understanding of capacity by � describing the relationship between mL and L � selecting and justifying referents for mL or L units
- 5.SS.4
- Demonstrate an understanding of capacity by � estimating capacity by using referents for mL or L � measuring and recording capacity (mL or L)
- 5.SS.5
- Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes, that are � parallel � intersecting � perpendicular � vertical � horizontal
- 5.SS.6
- Identify and sort quadrilaterals, including � rectangles � squares � trapezoids � parallelograms � rhombuses according to their attributes.
- 5.SS.7
- Perform a single transformation (translation, rotation, or reflection) of a 2-D shape, and draw and describe the image.
- 5.SS.8
- Identify a single transformation (translation, rotation, or reflection) of 2-D shapes.
Key ideas
Many rectangles can share the same perimeter or the same area.
Parallel lines never meet; perpendicular lines meet at a right angle.
For a given perimeter, the shape closest to a square has the greatest area.
Intersecting lines cross; vertical and horizontal describe direction.
A millimetre is very small, about the thickness of a fingernail.
Watch out for
- Confusing perimeter and area.
- Confusing parallel and perpendicular.
- Thinking one perimeter or area means one rectangle.
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.
Official code: 5.SP.1
Double bar graphs
I can make and read a double bar graph.
Official code: 5.SP.2
Impossible, possible, and certain
I can describe how likely a single outcome is.
Official code: 5.SP.3
Comparing likelihoods
I can compare how likely two outcomes are.
Official code: 5.SP.4
The official wording · 4 outcomes
- 5.SP.1
- Differentiate between first-hand and second-hand data.
- 5.SP.2
- Construct and interpret double bar graphs to draw conclusions.
- 5.SP.3
- Describe the likelihood of a single outcome occurring, using words such as � impossible � possible � certain
- 5.SP.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; second-hand data comes from another source.
Some questions are best answered with first-hand data, others with second-hand.
A double bar graph compares two sets of data side by side.
A legend tells which bar is which group.
An impossible event never happens; a certain event always happens.
Watch out for
- Thinking all data must be collected personally.
- Confusing first-hand and second-hand data.
- Leaving off the legend so the bars can't be told apart.
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.
Number Blitz
Can you keep up?
It starts easy. It doesn’t stay that way.
Free, no account needed
The official curriculum
This page follows Manitoba’s own curriculum for Mathematics, Grade 5.
Study it in MapleMind
MapleMind teaches Mathematics, Grade 5 one skill at a time. Each skill gets a short lesson, practice as you go and a check worth up to three stars. It remembers where you stopped.
Course Companion
Your year in one workbook
A fun way to keep Mathematics, Grade 5 organized, get to know your child better and see early when they need a hand. Fill it in on a screen, or print it.
- Pages
- 30
- Fillable fields
- 1,514
- Price
- $4.99
Questions about Mathematics, Grade 5
What is Mathematics, Grade 5?
Manitoba’s Grade 5 math course: 4 units and 37 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?
No. Manitoba 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.
Get ready for Mathematics, Grade 5
Practise every skill of Mathematics, Grade 5 in MapleMind, free with daily limits.
