New Brunswick · Grade 6
Mathematics, Grade 6
New Brunswick’s Grade 6 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 11
- Skills
- 40
- Provincial exam
- Yes
- Official curriculum
- New Brunswick Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 13 skills
Number
Place Value and Large Numbers
Place value greater than one million
I can read and describe numbers greater than one million.
Official code: N1
Place value less than one thousandth
I can read and describe decimals smaller than one thousandth.
Official code: N1
Large numbers with technology
I can solve problems with large numbers using a calculator.
Official code: N2
Factors, Multiples, and Fractions
Factors and multiples
I can find the factors and multiples of a number.
Official code: N3
Prime and composite numbers
I can tell a prime number from a composite number.
Official code: N3
Problems involving multiples
I can solve problems using multiples.
Official code: N3
Improper fractions and mixed numbers
I can change between improper fractions and mixed numbers.
Official code: N4
Ratio, Percent, and Integers
Understanding ratio
I can write and describe a ratio comparing two amounts.
Official code: N5
Understanding percent
I can understand percent as a part out of 100.
Official code: N6
Understanding integers
I can understand and order integers, including negatives.
Official code: N7
Decimal Operations and Order of Operations
Multiplying decimals
I can multiply a decimal by a whole number.
Official code: N8
Dividing decimals
I can divide a decimal by a whole number.
Official code: N8
Order of operations
I can use the order of operations to evaluate an expression.
Official code: N9
The official wording · 13 outcomes
- N1
- Demonstrate an understanding of place value for numbers: greater than one million
- N1
- Demonstrate an understanding of place value for numbers: greater than one million; less than one thousandth.
- N2
- Solve problems involving large numbers, using technology.
- N3
- Demonstrate an understanding of factors and multiples by: determining multiples and factors of numbers less than 100
- N3
- identifying prime and composite numbers
- N3
- solving problems involving multiples.
- N4
- Relate improper fractions to mixed numbers.
- N5
- Demonstrate an understanding of ratio, concretely, pictorially and symbolically.
- N6
- Demonstrate an understanding of percent, (limited to whole numbers) concretely, pictorially and symbolically.
- N7
- Demonstrate an understanding of integers, concretely, pictorially and symbolically.
- N8
- Demonstrate an understanding of multiplication and division of decimals (1-digit whole number multipliers and 1- digit natural number divisors).
- N8
- Demonstrate an understanding of multiplication and division of decimals (1-digit whole number multipliers and 1- digit natural number divisors).
- N9
- Explain and apply the order of operations, excluding exponents, with and without technology (limited to whole numbers).
Key ideas
Place value continues past the millions period into ten- and hundred-millions.
A factor divides a number evenly; a multiple is the number times a whole number.
A ratio compares two quantities, such as 3 to 2.
We multiply as with whole numbers, then place the decimal point.
Each digit's place tells its value.
Watch out for
- Misgrouping the periods when reading.
- Confusing factors with multiples.
- Treating a ratio as a total instead of a comparison.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 4 skills
Patterns and Relations
Patterns & Relations
Patterns, Tables, and Equations
Relationships in tables of values
I can find and use the relationship in a table of values.
Official code: PR1
Patterns with graphs and tables
I can show a pattern with both a table and a graph.
Official code: PR2
Equations with letter variables
I can write an equation with a letter variable for a relationship.
Official code: PR3
Preservation of equality
I can keep an equation balanced when I change both sides.
Official code: PR4
The official wording · 4 outcomes
- PR1
- Demonstrate an understanding of the relationship within tables of values to solve problems.
- PR2
- Represent and describe patterns and relationships using graphs and tables.
- PR3
- Represent generalizations arising from number relationships using equations with letter variables.
- PR4
- Demonstrate and explain the meaning of preservation of equality concretely, pictorially and symbolically.
Key ideas
A table pairs input values with output values by a rule.
Finding the rule lets us fill in missing values.
A table and a graph can show the same pattern.
Points on the graph come from the table's pairs.
A letter can stand for a changing quantity in a rule.
Watch out for
- Looking only down a column, not across the rule.
- Assuming the rule is always 'add.'.
- Plotting points in the wrong order (x, y).
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 15 skills
Shape and Space
Angles
Identifying and classifying angles
I can find and classify angles by their measure.
Official code: SS1
Estimating angles with reference angles
I can estimate an angle using reference angles.
Official code: SS1
Measuring and drawing angles
I can measure an angle in degrees and draw one of a given measure.
Official code: SS1
Angle Sums and Measurement Formulas
Angle sum of a triangle
I can use the fact that a triangle's angles add to 180 degrees.
Official code: SS2
Angle sum of a quadrilateral
I can use the fact that a quadrilateral's angles add to 360 degrees.
Official code: SS2
Perimeter of polygons
I can find the perimeter of a polygon using a formula.
Official code: SS3
Area of rectangles
I can find the area of a rectangle using a formula.
Official code: SS3
Volume of right rectangular prisms
I can find the volume of a rectangular prism using a formula.
Official code: SS3
Triangles, Polygons, and Transformations
Constructing triangles
I can construct different kinds of triangle.
Official code: SS4
Comparing triangles
I can compare triangles by their sides and angles.
Official code: SS4
Sides and angles of polygons
I can describe and compare regular and irregular polygons.
Official code: SS5
Combining transformations on one shape
I can perform a combination of transformations on a shape.
Official code: SS6
Successive transformations to create a design
I can make a design with successive transformations and describe them.
Official code: SS7
The Cartesian Plane
Plotting points in the first quadrant
I can plot and name points in the first quadrant.
Official code: SS8
Transforming a shape on the Cartesian plane
I can transform a shape on the coordinate grid and describe it.
Official code: SS9
The official wording · 15 outcomes
- SS1
- Demonstrate an understanding of angles by: identifying examples of angles in the environment; classifying angles according to their measure
- SS1
- estimating the measure of angles using 45°, 90° and 180° as reference angles
- SS1
- determining angle measures in degrees; drawing and labelling angles when the measure is specified.
- SS2
- Demonstrate that the sum of interior angles is: 180° in a triangle
- SS2
- Demonstrate that the sum of interior angles is: 180° in a triangle; 360° in a quadrilateral.
- SS3
- Develop and apply a formula for determining the: perimeter of polygons
- SS3
- area of rectangles
- SS3
- volume of right rectangular prisms.
- SS4
- Construct and compare triangles, including: scalene; isosceles; equilateral; right; obtuse; and acute in different orientations.
- SS4
- Construct and compare triangles, including: scalene; isosceles; equilateral; right; obtuse; and acute in different orientations.
- SS5
- Describe and compare the sides and angles of regular and irregular polygons.
- SS6
- Perform a combination of translation(s), rotation(s) and/or reflection(s) on a single 2-D shape, with and without technology, and draw and describe the image.
- SS7
- Perform a combination of successive transformations of 2-D shapes to create a design, and identify and describe the transformations.
- SS8
- Identify and plot points in the first quadrant of a Cartesian plane using whole number ordered pairs.
- SS9
- 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 found where two lines meet, like a corner.
The three interior angles of any triangle sum to 180 degrees.
Triangles are named by their sides (scalene, isosceles, equilateral) or angles (right, obtuse, acute).
An ordered pair (x, y) gives across then up.
Angles are acute, right, obtuse, or straight by their size.
Watch out for
- Judging an angle by the length of its arms.
- Thinking the sum changes with the triangle's size.
- Thinking a rotated triangle is a different type.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 8 skills
Statistics and Probability
Data and Graphs
Line graphs
I can create and read a line graph.
Official code: SP1
Collecting data by questionnaires and experiments
I can collect data using questionnaires and experiments.
Official code: SP2
Collecting data from databases and electronic media
I can collect data from databases and electronic media.
Official code: SP2
Graphing and analyzing data
I can graph data and analyze it to solve a problem.
Official code: SP3
Probability
Listing possible outcomes
I can list all possible outcomes of an experiment.
Official code: SP4
Experimental versus theoretical probability
I can tell experimental probability from theoretical probability.
Official code: SP4
Determining theoretical probability
I can find the theoretical probability of an outcome.
Official code: SP4
Determining experimental probability and comparing
I can find experimental probability and compare it to theoretical.
Official code: SP4
The official wording · 8 outcomes
- SP1
- Create, label and interpret line graphs to draw conclusions.
- SP2
- Select, justify and use appropriate methods of collecting data, including: questionnaires; experiments
- SP2
- Select, justify and use appropriate methods of collecting data, including: questionnaires; experiments; databases; electronic media.
- SP3
- Graph collected data and analyze the graph to solve problems.
- SP4
- Demonstrate an understanding of probability by: identifying all possible outcomes of a probability experiment
- SP4
- differentiating between experimental and theoretical probability
- SP4
- determining the theoretical probability of outcomes in a probability experiment
- SP4
- 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 something changes over time.
The possible outcomes are everything that could happen.
We label the axes and read points to draw conclusions.
Listing them all helps us find probabilities.
A questionnaire asks people questions to gather data.
Watch out for
- Using a line graph for unrelated categories.
- Missing an outcome.
- Forgetting to label the axes.
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 6.
Strands
| Strand | Outcomes | Taught in |
|---|---|---|
| NNumber | Outcomes 9 | Taught in Unit 1 |
| PRPatterns & Relations | Outcomes 4 | Taught in Unit 2Patterns and Relations |
| SSShape and Space | Outcomes 9 | Taught in Unit 3 |
| SPStatistics and Probability | Outcomes 4 | Taught in Unit 4 |
Study it in MapleMind
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Questions about Mathematics, Grade 6
What is Mathematics, Grade 6?
New Brunswick’s Grade 6 math course: 4 units and 40 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?
Yes. The Grade 7 Mathematics Assessment is written in New Brunswick. Next sitting: May 31, 2027.
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.
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