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Skills available for New Brunswick grade 6 math curriculum

Objectives are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.

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New Brunswick Curriculum New Brunswick Curriculum
WNCP Common Curriculum Frameworks WNCP Common Curriculum Frameworks
CAMET Foundation for the Atlantic Canada Mathematics Curriculum CAMET Foundation for the Atlantic Canada Mathematics Curriculum

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6 Number Concepts/Number and Relationship Operations

6.A Students will demonstrate number sense and apply number theory concepts.
- 6.A1 represent large numbers in a variety of forms
  - Place values in whole numbers up to 1 million (6-A.1)
  - Word names for numbers (6-A.3)
- 6.A2 represent fractions and decimals
- 6.A3 write and interpret ratios, comparing part-to-part and part-to-whole
- 6.A4 demonstrate an understanding of equivalent ratios
  - Identify equivalent ratios (6-P.5)
- 6.A5 demonstrate an understanding of the concept of percent as a ratio
  - Convert between percents, fractions and decimals (6-Q.4)
- 6.A6 demonstrate an understanding of the meaning of a negative integer
  - Understanding integers (6-C.1)
  - Integers on number lines (6-C.2)
- 6.A7 read and write whole numbers in a variety of forms
  - Word names for numbers (6-A.3)
  - Roman numerals (6-A.6)
- 6.A8 demonstrate an understanding of the place value system
  - Place values in whole numbers up to 1 million (6-A.1)
  - Decimal place values (6-B.2)
- 6.A9 relate fractional and decimal forms of numbers
  - Convert between decimals and fractions or mixed numbers (6-J.14)
  - Convert between percents, fractions and decimals (6-Q.4)
- 6.A10 determine factors and common factors
- 6.A11 distinguish between prime and composite numbers
  - Prime or composite (6-I.1)
6.B Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.
- 6.B1 compute products of whole numbers and decimals
- 6.B2 model and calculate the products of two decimal numbers
  - Multiply decimals using grids (6-G.9)
  - Multiply decimals (6-G.11)
- 6.B3 compute quotients of whole numbers and decimals
  - Divide decimals by whole numbers (6-G.18)
  - Divide decimals by whole numbers: word problems (6-G.19)
- 6.B4 model and calculate the quotients of two decimals
  - Divide decimals (6-G.21)
- 6.B5 add and subtract simple fractions using models
- 6.B6 demonstrate an understanding of the function nature of input-output situations
  - Complete a table for a two-variable relationship (6-Z.4)
  - Write a two-variable equation (6-Z.5)
- 6.B7 solve and create relevant addition, subtraction, multiplication and division problems involving whole numbers
- 6.B8 solve and create relevant addition, subtraction, multiplication and division problems involving decimals
- 6.B9 estimate products and quotients involving whole numbers only, whole numbers and decimals, and decimals only
- 6.B10 divide numbers by 0.1, 0.01 and 0.001 mentally
  - Multiply and divide decimals by powers of ten (6-G.1)
- 6.B11 calculate sums and differences in relevant contexts by using the most appropriate method
- 6.B12 calculate products and quotients in relevant contexts by using the most appropriate method

6 Patterns and Relations

6.C Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.
- 6.C1 solve problems involving patterns
  - Even or odd: arithmetic rules (5-A.18)
  - Division patterns with zeroes (6-F.6)
- 6.C2 use patterns to explore division by 0.1, 0.01 and 0.001
  - Decimal division patterns over increasing place values (5-L.2)
- 6.C3 recognize and explain how changes in base or height affect areas of rectangles, parallelograms or triangles
  - Perimeter, area and volume: changes in scale (7-BB.21)
- 6.C4 recognize and explain how changes in height, depth or length affect volumes of rectangular prisms
  - Perimeter, area and volume: changes in scale (7-BB.21)
- 6.C5 recognize and explain how a change in one term of a ratio affects the other term
- 6.C6 represent equivalent ratios using tables and graphs
  - Identify equivalent ratios (6-P.5)
- 6.C7 represent square and triangular numbers concretely, pictorially and symbolically
- 6.C8 solve simple linear equations using open frames
- 6.C9 demonstrate an understanding of the use of letters to replace open frames

6 Shape and Space

6.D Students will demonstrate an understanding of and apply concepts and skills associated with measurement.
- 6.D1 use the relationship among particular SI units to compare objects
  - Convert and compare metric units (6-R.2)
- 6.D2 describe mass measurements in tonnes
- 6.D3 demonstrate an understanding of the relationship between capacity and volume
  - Convert between cubic metres and litres (6-R.5)
- 6.D4 estimate and measure angles using a protractor
  - Measure angles with a protractor (5-JJ.8)
- 6.D5 draw angles of a given size
  - Measure angles with a protractor (5-JJ.8)
- 6.D6 solve measurement problems involving length, capacity, area, volume, mass and time
- 6.D7 demonstrate an understanding of the relationships among the bases, heights and areas of parallelograms
  - Area of trapezoids (6-DD.9)
- 6.D8 demonstrate an understanding of the relationship between the area of a triangle and the area of a related parallelogram
- 6.D9 demonstrate an understanding of the relationships between the three dimensions of rectangular prisms and volume and surface area
  - Volume of cubes and rectangular prisms (6-DD.22)
  - Volume of triangular prisms (6-DD.23)
6.E Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.
- 6.E1 describe and represent the various cross-sections of cones, cylinders, pyramids and prisms
- 6.E2 make and interpret orthographic drawings of 3-D shapes made with cubes
- 6.E3 make and apply generalizations about the sum of the angles in triangles and quadrilaterals
  - Find missing angles in triangles and quadrilaterals (6-AA.12)
  - Sums of angles in polygons (6-AA.14)
- 6.E4 make and apply generalizations about the diagonal properties of trapezoids, kites, parallelograms and rhombi
- 6.E5 sort the members of the quadrilateral "family" under property headings
  - Classify quadrilaterals (6-AA.9)
- 6.E6 recognize, name, describe and represent similar figures
  - Similar and congruent figures (6-BB.10)
- 6.E7 make generalizations about the planes of symmetry of 3-D shapes
- 6.E8 make generalizations about the rotational symmetry property of all members of the quadrilateral "family" and of regular polygons
  - Reflection, rotation and translation (6-BB.2)
- 6.E9 recognize and represent dilatation images of 2-D figures and connect to similar figures
- 6.E10 predict and represent the result of combining transformations
  - Reflection, rotation and translation (6-BB.2)

6 Data Management and Probability

6.F Students will solve problems involving the collection, display and analysis of data.
- 6.F1 choose and evaluate appropriate samples for data collection
  - Identify representative and biased samples (6-FF.7)
- 6.F2 identify various types of data sources
  - Identify representative and biased samples (6-FF.7)
- 6.F3 plot coordinates in four quadrants
- 6.F4 use bar graphs, double bar graphs and stem-and-leaf plots to display data
- 6.F5 use circle graphs to represent proportions
  - Circle graphs (6-EE.15)
- 6.F6 interpret data represented in scatterplots
- 6.F7 make inferences from data displays
- 6.F8 demonstrate an understanding of the difference between mean, median and mode
- 6.F9 explore relevant issues for which data collection assists in reaching conclusions
6.G Students will represent and solve problems involving uncertainty.
- 6.G1 conduct simple simulations to determine probabilities
- 6.G2 evaluate the reliability of sampling results
  - Identify representative and biased samples (6-FF.7)
- 6.G3 analyse simple probabilistic claims
  - Identify representative and biased samples (6-FF.7)
- 6.G4 determine theoretical probabilities
  - Probability of one event (6-GG.3)
  - Probability of opposite, mutually exclusive and overlapping events (6-GG.4)
- 6.G5 identify events that might be associated with a particular theoretical probability

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6 Number Concepts/Number and Relationship Operations

6.A Students will demonstrate number sense and apply number theory concepts.

6.A1 represent large numbers in a variety of forms

6.A2 represent fractions and decimals

6.A3 write and interpret ratios, comparing part-to-part and part-to-whole

6.A4 demonstrate an understanding of equivalent ratios

6.A5 demonstrate an understanding of the concept of percent as a ratio

6.A6 demonstrate an understanding of the meaning of a negative integer

6.A7 read and write whole numbers in a variety of forms

6.A8 demonstrate an understanding of the place value system

6.A9 relate fractional and decimal forms of numbers

6.A10 determine factors and common factors

6.A11 distinguish between prime and composite numbers

6.B Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

6.B1 compute products of whole numbers and decimals

6.B2 model and calculate the products of two decimal numbers

6.B3 compute quotients of whole numbers and decimals

6.B4 model and calculate the quotients of two decimals

6.B5 add and subtract simple fractions using models

6.B6 demonstrate an understanding of the function nature of input-output situations

6.B7 solve and create relevant addition, subtraction, multiplication and division problems involving whole numbers

6.B8 solve and create relevant addition, subtraction, multiplication and division problems involving decimals

6.B9 estimate products and quotients involving whole numbers only, whole numbers and decimals, and decimals only

6.B10 divide numbers by 0.1, 0.01 and 0.001 mentally

6.B11 calculate sums and differences in relevant contexts by using the most appropriate method

6.B12 calculate products and quotients in relevant contexts by using the most appropriate method

6 Patterns and Relations

6.C Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

6.C1 solve problems involving patterns

6.C2 use patterns to explore division by 0.1, 0.01 and 0.001

6.C3 recognize and explain how changes in base or height affect areas of rectangles, parallelograms or triangles

6.C4 recognize and explain how changes in height, depth or length affect volumes of rectangular prisms

6.C5 recognize and explain how a change in one term of a ratio affects the other term

6.C6 represent equivalent ratios using tables and graphs

6.C7 represent square and triangular numbers concretely, pictorially and symbolically

6.C8 solve simple linear equations using open frames

6.C9 demonstrate an understanding of the use of letters to replace open frames

6 Shape and Space

6.D Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

6.D1 use the relationship among particular SI units to compare objects

6.D2 describe mass measurements in tonnes

6.D3 demonstrate an understanding of the relationship between capacity and volume

6.D4 estimate and measure angles using a protractor

6.D5 draw angles of a given size

6.D6 solve measurement problems involving length, capacity, area, volume, mass and time

6.D7 demonstrate an understanding of the relationships among the bases, heights and areas of parallelograms

6.D8 demonstrate an understanding of the relationship between the area of a triangle and the area of a related parallelogram

6.D9 demonstrate an understanding of the relationships between the three dimensions of rectangular prisms and volume and surface area

6.E Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

6.E1 describe and represent the various cross-sections of cones, cylinders, pyramids and prisms

6.E2 make and interpret orthographic drawings of 3-D shapes made with cubes

6.E3 make and apply generalizations about the sum of the angles in triangles and quadrilaterals

6.E4 make and apply generalizations about the diagonal properties of trapezoids, kites, parallelograms and rhombi

6.E5 sort the members of the quadrilateral "family" under property headings

6.E6 recognize, name, describe and represent similar figures

6.E7 make generalizations about the planes of symmetry of 3-D shapes

6.E8 make generalizations about the rotational symmetry property of all members of the quadrilateral "family" and of regular polygons

6.E9 recognize and represent dilatation images of 2-D figures and connect to similar figures

6.E10 predict and represent the result of combining transformations

6 Data Management and Probability

6.F Students will solve problems involving the collection, display and analysis of data.

6.F1 choose and evaluate appropriate samples for data collection

6.F2 identify various types of data sources

6.F3 plot coordinates in four quadrants

6.F4 use bar graphs, double bar graphs and stem-and-leaf plots to display data

6.F5 use circle graphs to represent proportions

6.F6 interpret data represented in scatterplots

6.F7 make inferences from data displays

6.F8 demonstrate an understanding of the difference between mean, median and mode

6.F9 explore relevant issues for which data collection assists in reaching conclusions

6.G Students will represent and solve problems involving uncertainty.

6.G1 conduct simple simulations to determine probabilities

6.G2 evaluate the reliability of sampling results

6.G3 analyse simple probabilistic claims

6.G4 determine theoretical probabilities

6.G5 identify events that might be associated with a particular theoretical probability

4-6.1 Number Concepts/Number and Relationship Operations