Manitoba · Grade 6
Mathematics, Grade 6
Manitoba’s Grade 6 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 5
- Skills
- 31
- Provincial exam
- None
- Official curriculum
- Manitoba Education
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 12 skills
Number
Place Value to Millions and Beyond
Place value past a million and below a thousandth
I can read place values past a million and smaller than a thousandth.
Official code: 6.N.1
Where big and small numbers appear
I can find real places where huge and tiny numbers are used.
Official code: 6.N.1
Solving big-number problems
I can solve problems with large numbers and check if my answer makes sense.
Official code: 6.N.2
Factors and multiples
I can find the factors and multiples of a number.
Official code: 6.N.3
Prime and composite numbers
I can tell prime from composite numbers and use them to solve problems.
Official code: 6.N.3
Improper fractions and mixed numbers
I can change improper fractions to mixed numbers and back.
Official code: 6.N.4
Understanding ratio
I can write and use ratios to compare quantities.
Official code: 6.N.5
Understanding percent
I can show a percent and change it to a fraction or decimal.
Official code: 6.N.6
Understanding integers
I can place and order integers on a number line.
Official code: 6.N.7
Multiplying and dividing decimals
I can multiply and divide decimals using the standard algorithms.
Official code: 6.N.8
Estimating and solving decimal problems
I can estimate a decimal product and place the decimal point correctly.
Official code: 6.N.8
Order of operations
I can use the order of operations to solve multi-step problems.
Official code: 6.N.9
The official wording · 12 outcomes
- 6.N.1
- Demonstrate an understanding of place value for numbers � greater than one million � less than one-thousandth
- 6.N.1
- Demonstrate an understanding of place value for numbers � greater than one million � less than one-thousandth
- 6.N.2
- Solve problems involving large numbers, using technology.
- 6.N.3
- Demonstrate an understanding of factors and multiples by � determining multiples and factors of numbers less than 100
- 6.N.3
- Demonstrate an understanding of factors and multiples by � identifying prime and composite numbers � solving problems involving factors or multiples
- 6.N.4
- Relate improper fractions to mixed numbers.
- 6.N.5
- Demonstrate an understanding of ratio, concretely, pictorially, and symbolically.
- 6.N.6
- Demonstrate an understanding of percent (limited to whole numbers), concretely, pictorially, and symbolically.
- 6.N.7
- Demonstrate an understanding of integers, concretely, pictorially, and symbolically.
- 6.N.8
- Demonstrate an understanding of multiplication and division of decimals (involving 1-digit whole-number multipliers, 1-digit natural number divisors, and multipliers and divisors that are multiples of 10), concretely, pictorially, and symbolically, by � using personal strategies � using the standard algorithms
- 6.N.8
- Demonstrate an understanding of multiplication and division of decimals ... by � using estimation � solving problems
- 6.N.9
- Explain and apply the order of operations, excluding exponents (limited to whole numbers).
Key ideas
Each place to the left is ten times greater; each place to the right is ten times smaller.
The pattern of ones, tens, hundreds repeats in every group, so we can read numbers of any size.
Large numbers appear in populations, distances, and money.
Small decimals appear in science, medicine, and measurements.
We choose the operation the problem calls for, then compute with a calculator.
Watch out for
- Thinking the pattern of place values changes for very large numbers.
- Confusing thousandths with ten-thousandths.
- Thinking tiny decimals are never used in real life.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 4 skills
Patterns and Relations
Patterns, Tables, and Graphs
Relationships in tables of values
I can find the rule in a table of values and predict terms.
Official code: 6.PR.1
Patterns with graphs and tables
I can show a pattern as a table and a graph.
Official code: 6.PR.2
Generalizing with letter variables
I can write a general rule using letters as variables.
Official code: 6.PR.3
Preservation of equality
I can keep an equation balanced by doing the same to both sides.
Official code: 6.PR.4
The official wording · 4 outcomes
- 6.PR.1
- Demonstrate an understanding of the relationships within tables of values to solve problems.
- 6.PR.2
- Represent and describe patterns and relationships using graphs and tables.
- 6.PR.3
- Represent generalizations arising from number relationships using equations with letter variables.
- 6.PR.4
- Demonstrate and explain the meaning of preservation of equality, concretely, pictorially, and symbolically.
Key ideas
A table of values pairs an input with an output following a rule.
The rule lets us predict any missing value in the table.
A pattern can be recorded in a table and then plotted as points.
The graph of a linear pattern lies along a straight line.
A letter variable can stand for any number in a general rule.
Watch out for
- Describing only one column instead of the relationship between them.
- Predicting without applying the rule consistently.
- Connecting discrete points that should stay separate.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 11 skills
Shape and Space
Angles and Measurement
Classifying and estimating angles
I can classify angles and estimate their measure.
Official code: 6.SS.1
Measuring and drawing angles
I can measure and draw angles with a protractor.
Official code: 6.SS.1
Interior angle sums
I can show the interior angles of a triangle add to 180°.
Official code: 6.SS.2
Perimeter and area formulas
I can build and use formulas for perimeter and area.
Official code: 6.SS.3
Volume of rectangular prisms
I can build and use a formula for the volume of a rectangular prism.
Official code: 6.SS.3
Geometry and Transformations
Constructing and comparing triangles
I can sort triangles by their sides and their angles.
Official code: 6.SS.4
Regular and irregular polygons
I can tell regular from irregular polygons.
Official code: 6.SS.5
Combinations of transformations
I can slide, turn, and flip a shape in combination.
Official code: 6.SS.6
Designs from transformations
I can make a design using transformations and describe them.
Official code: 6.SS.7
Plotting in the first quadrant
I can plot points in the first quadrant using ordered pairs.
Official code: 6.SS.8
Transformations on the coordinate grid
I can transform a shape on the coordinate grid and give the new coordinates.
Official code: 6.SS.9
The official wording · 11 outcomes
- 6.SS.1
- Demonstrate an understanding of angles by � identifying examples of angles in the environment � classifying angles according to their measure � estimating the measure of angles using 45°, 90°, and 180° as reference angles
- 6.SS.1
- Demonstrate an understanding of angles by � determining angle measures in degrees � drawing and labelling angles when the measure is specified
- 6.SS.2
- Demonstrate that the sum of interior angles is � 180° in a triangle � 360° in a quadrilateral
- 6.SS.3
- Develop and apply a formula for determining the � perimeter of polygons � area of rectangles
- 6.SS.3
- Develop and apply a formula for determining the � volume of right rectangular prisms
- 6.SS.4
- Construct and compare triangles, including � scalene � isosceles � equilateral � right � obtuse � acute in different orientations.
- 6.SS.5
- Describe and compare the sides and angles of regular and irregular polygons.
- 6.SS.6
- Perform a combination of transformations (translations, rotations, or reflections) on a single 2-D shape, and draw and describe the image.
- 6.SS.7
- Perform a combination of successive transformations of 2-D shapes to create a design, and identify and describe the transformations.
- 6.SS.8
- Identify and plot points in the first quadrant of a Cartesian plane using whole-number ordered pairs.
- 6.SS.9
- Perform and describe single transformations of a 2-D shape in the first quadrant of a Cartesian plane (limited to whole-number vertices).
Key ideas
Angles are classified as acute, right, obtuse, straight, or reflex.
Triangles can be named by side lengths: scalene, isosceles, equilateral.
45°, 90°, and 180° are useful reference angles for estimating.
Triangles can be named by angles: right, obtuse, acute.
A protractor measures the opening between two rays in degrees.
Watch out for
- Confusing acute and obtuse angles.
- Thinking a triangle can only have one name.
- Estimating without using a reference angle.
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
Creating and interpreting line graphs
I can build a line graph and read conclusions from it.
Official code: 6.SP.1
Choosing how to collect data
I can pick a good way to collect data to answer a question.
Official code: 6.SP.2
Graphing and analyzing data
I can graph data and use the graph to solve a problem.
Official code: 6.SP.3
Experimental and theoretical probability
I can compare what actually happens with what probability predicts.
Official code: 6.SP.4
The official wording · 4 outcomes
- 6.SP.1
- Create, label, and interpret line graphs to draw conclusions.
- 6.SP.2
- Select, justify, and use appropriate methods of collecting data, including � questionnaires � experiments � databases � electronic media
- 6.SP.3
- Graph collected data and analyze the graph to solve problems.
- 6.SP.4
- Demonstrate an understanding of probability by � identifying all possible outcomes of a probability experiment � differentiating between experimental and theoretical probability � determining the theoretical probability of outcomes in a probability experiment � determining the experimental probability of outcomes in a probability experiment � comparing experimental results with the theoretical probability for an experiment
Key ideas
A line graph shows how a value changes over time.
Line graphs suit continuous data, where points in between have meaning.
Different questions call for questionnaires, experiments, databases, or electronic media.
We justify the method by how well it fits the question.
We choose a graph type that fits the data we collected.
Watch out for
- Using a line graph for unrelated categories.
- Forgetting a title, axes, or intervals.
- Using a questionnaire when an experiment is needed.
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 6.
Study it in MapleMind
MapleMind teaches Mathematics, Grade 6 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 6 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
- 29
- Fillable fields
- 1,418
- Price
- $4.99
Questions about Mathematics, Grade 6
What is Mathematics, Grade 6?
Manitoba’s Grade 6 math course: 4 units and 31 skills, from Number to Statistics and Probability.
What units are in Mathematics, Grade 6?
1. Number, 2. Patterns and Relations, 3. Shape and Space and 4. Statistics and Probability.
Is there a provincial exam for Mathematics, Grade 6?
No. Manitoba gives no provincial exam for Mathematics, Grade 6.
What comes after Mathematics, Grade 6?
Mathematics, Grade 7.
Can MapleMind help with Mathematics, Grade 6?
Yes. MapleMind teaches every skill of Mathematics, Grade 6, 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 6
Practise every skill of Mathematics, Grade 6 in MapleMind, free with daily limits.
