CAMET

Skills available for CAMET grade 5 math curriculum

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CAMET Foundation for the Atlantic Canada Mathematics Curriculum CAMET Foundation for the Atlantic Canada Mathematics Curriculum

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5 Number Concepts/Number and Relationship Operations

5.A Students will demonstrate number sense and apply number theory concepts.
- 5.A1 represent whole numbers to the millions
  - Word names for numbers up to 100 000 (5-A.7)
- 5.A2 interpret and model decimal tenths, hundredths and thousandths
- 5.A3 interpret, model and rename fractions
  - Identify fractions (5-N.3)
- 5.A4 demonstrate an understanding of the relationship between fractions and division
  - Fractions of a number (5-S.16)
  - Fractions of a number: word problems (5-S.17)
- 5.A5 explore the concepts of ratio and rate informally
  - Write a ratio: word problems (6-P.3)
  - Equivalent rates (6-P.10)
- 5.A6 read and represent numbers to millions
- 5.A7 read and represent decimals to thousandths
- 5.A8 compare and order large numbers
  - Compare numbers up to 1 000 000 (5-A.13)
- 5.A9 compare and order decimals
  - Compare decimal numbers up to thousandths (5-H.7)
  - Put decimals in order: up to thousandths (5-H.8)
- 5.A10 compare and order fractions using conceptual methods
  - Compare fractions and mixed numbers (5-P.5)
  - Order fractions review (5-P.9)
- 5.A11 recognize and find factors of numbers
5.B Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.
- 5.B1 find sums and differences involving decimals to thousandths
- 5.B2 multiply 2-, 3- and 4- digit numbers by 1-digit numbers
  - Multiply by 1-digit numbers (5-C.3)
  - Multiply by 1-digit numbers: word problems (5-C.4)
- 5.B3 find the product of two 2-digit numbers
- 5.B4 divide 2-, 3- and 4-digit numbers by single-digit divisors and investigate division by 2-digit divisors
- 5.B5 find simple products of whole numbers and decimals
- 5.B6 divide decimal numbers by single-digit whole numbers
  - Divide money amounts with decimals: word problems (5-M.8)
- 5.B7 determine whether an open sentence is always, sometimes, or never true
- 5.B8 solve and create addition and subtraction problems involving whole numbers and/or decimals
- 5.B9 solve and create multiplication and division problems involving whole numbers and/or decimals
- 5.B10 estimate sums and differences involving decimals to thousandths
  - Estimate sums and differences of decimals using rounding: up to thousandths (5-J.8)
- 5.B11 estimate products and quotients of two whole numbers
- 5.B12 estimate products and quotients of decimal numbers by single-digit whole numbers
  - Estimate products of decimals (5-K.1)
- 5.B13 perform appropriate mental multiplications with facility
- 5.B14 divide numbers mentally when appropriate
  - Divide by powers of ten (5-L.1)
- 5.B15 multiply whole numbers by 0.1, 0.01 and 0.001 mentally
  - Multiply a decimal by a power of ten (5-K.2)
  - Divide by powers of ten (5-L.1)

5 Patterns and Relations

5.C Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.
- 5.C1 use place value patterns to extend understanding of the representation of numbers to millions
  - Place value up to 1 000 000 (5-A.4)
  - Convert between place values (5-A.6)
- 5.C2 recognize and explain the pattern in dividing by 10, 100 and 1000 and in multiplying by 0.1, 0.01 and 0.001
  - Divide by powers of ten (5-L.1)
- 5.C3 solve problems using patterns
- 5.C4 rearrange factors to make multiplication simpler
  - Prime factorization (5-F.2)
- 5.C5 recognize and explain how a change in one factor affects a product or quotient
- 5.C6 predict how a change in unit affects an SI measurement
- 5.C7 manipulate the dimensions of a rectangle so that the area remains the same
  - Area of squares and rectangles (5-NN.4)
- 5.C8 demonstrate an understanding that the multiplicative relationship between numerators and denominators is constant for equivalent fractions
  - Equivalent fractions (5-O.3)
- 5.C9 represent measurement relationships using tables and two-dimensional graphs

5 Shape and Space

5.D Students will demonstrate an understanding of and apply concepts and skills associated with measurement.
- 5.D1 solve simple problems involving the perimeters of polygons
  - Perimeter with whole number side lengths (5-NN.1)
- 5.D2 calculate areas of irregular shapes
  - Area of figures on grids (5-NN.9)
- 5.D3 determine the measure of right, acute and obtuse angles
  - Types of angles (5-JJ.6)
  - Measure angles with a protractor (5-JJ.8)
- 5.D4 demonstrate an understanding of the relationship among particular SI units
- 5.D5 develop formulas for areas and perimeters of squares and rectangles
  - Perimeter with whole number side lengths (5-NN.1)
  - Area of squares and rectangles (5-NN.4)
- 5.D6 solve simple problems involving volume and capacity
  - Volume of rectangular prisms made of unit cubes (5-NN.13)
- 5.D7 estimate angle size in degrees
  - Estimate angle measurements (6-AA.6)
- 5.D8 determine which unit is appropriate in a given situation and solve problems involving length and area
  - Which metric unit of length is appropriate? (5-II.1)
5.E Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.
- 5.E1 draw a variety of nets for various prisms and pyramids
  - Nets of three-dimensional figures (5-MM.4)
- 5.E2 identify, describe and represent the various cross-sections of cubes and rectangular prisms
  - Three-dimensional figures viewed from different perspectives (5-MM.5)
- 5.E3 make and interpret isometric drawings of shapes made from cubes
- 5.E4 explore relationships between area and perimeter of squares and rectangles
  - Perimeter with whole number side lengths (5-NN.1)
  - Area of squares and rectangles (5-NN.4)
- 5.E5 predict and construct figures made by combining two triangles
- 5.E6 recognize, name, describe and represent perpendicular lines/segments, bisectors of angles and segments, and perpendicular-bisectors of segments
  - Parallel, perpendicular and intersecting lines (5-JJ.5)
- 5.E7 recognize, name, describe and construct right, obtuse and acute triangles
  - Classify triangles (5-KK.3)
- 5.E8 make generalizations about the diagonal properties of squares and rectangles and apply them
- 5.E9 make generalizations about the properties of translations and reflections and apply them
  - Lines of symmetry (5-LL.1)
  - Rotational symmetry (5-LL.2)
- 5.E10 explore rotations of one-quarter, one-half and three-quarter turns, using a variety of centres
  - Rotational symmetry (5-LL.2)
- 5.E11 make generalizations about the rotational symmetry properties of squares and rectangles and apply them
  - Rotational symmetry (5-LL.2)
- 5.E12 recognize, name and represent figures that tessellate
- 5.E13 explore how figures can be dissected and transformed into other figures

5 Data Management and Probability

5.F Students will solve problems involving the collection, display and analysis of data.
- 5.F1 use double bar graphs to display data
- 5.F2 use bar graphs to display and interpret data
  - Interpret bar graphs (5-FF.4)
  - Complete bar graphs (5-FF.6)
- 5.F3 use coordinate graphs to display data
  - Objects on a coordinate plane (5-AA.2)
  - Coordinate planes as maps (5-AA.7)
- 5.F4 create and interpret line graphs
  - Interpret line graphs (5-FF.2)
  - Create line graphs (5-FF.3)
- 5.F5 group data appropriately and use stem-and-leaf plots to describe the data
  - Interpret stem-and-leaf plots (5-FF.17)
- 5.F6 recognize and explain the effect of changes in data on the mean of that data
  - Changes in mean, median, mode and range (7-DD.8)
- 5.F7 explore relevant issues for which data collection assists in reaching conclusions
5.G Students will represent and solve problems involving uncertainty.
- 5.G1 conduct simple experiments to determine probabilities
  - Find the probability (5-GG.2)
  - Make predictions (5-GG.3)
- 5.G2 determine simple theoretical probabilities and use fractions to describe them
  - Find the probability (5-GG.2)

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5 Number Concepts/Number and Relationship Operations

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

5.A1 represent whole numbers to the millions

5.A2 interpret and model decimal tenths, hundredths and thousandths

5.A3 interpret, model and rename fractions

5.A4 demonstrate an understanding of the relationship between fractions and division

5.A5 explore the concepts of ratio and rate informally

5.A6 read and represent numbers to millions

5.A7 read and represent decimals to thousandths

5.A8 compare and order large numbers

5.A9 compare and order decimals

5.A10 compare and order fractions using conceptual methods

5.A11 recognize and find factors of numbers

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

5.B1 find sums and differences involving decimals to thousandths

5.B2 multiply 2-, 3- and 4- digit numbers by 1-digit numbers

5.B3 find the product of two 2-digit numbers

5.B4 divide 2-, 3- and 4-digit numbers by single-digit divisors and investigate division by 2-digit divisors

5.B5 find simple products of whole numbers and decimals

5.B6 divide decimal numbers by single-digit whole numbers

5.B7 determine whether an open sentence is always, sometimes, or never true

5.B8 solve and create addition and subtraction problems involving whole numbers and/or decimals

5.B9 solve and create multiplication and division problems involving whole numbers and/or decimals

5.B10 estimate sums and differences involving decimals to thousandths

5.B11 estimate products and quotients of two whole numbers

5.B12 estimate products and quotients of decimal numbers by single-digit whole numbers

5.B13 perform appropriate mental multiplications with facility

5.B14 divide numbers mentally when appropriate

5.B15 multiply whole numbers by 0.1, 0.01 and 0.001 mentally

5 Patterns and Relations

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

5.C1 use place value patterns to extend understanding of the representation of numbers to millions

5.C2 recognize and explain the pattern in dividing by 10, 100 and 1000 and in multiplying by 0.1, 0.01 and 0.001

5.C3 solve problems using patterns

5.C4 rearrange factors to make multiplication simpler

5.C5 recognize and explain how a change in one factor affects a product or quotient

5.C6 predict how a change in unit affects an SI measurement

5.C7 manipulate the dimensions of a rectangle so that the area remains the same

5.C8 demonstrate an understanding that the multiplicative relationship between numerators and denominators is constant for equivalent fractions

5.C9 represent measurement relationships using tables and two-dimensional graphs

5 Shape and Space

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

5.D1 solve simple problems involving the perimeters of polygons

5.D2 calculate areas of irregular shapes

5.D3 determine the measure of right, acute and obtuse angles

5.D4 demonstrate an understanding of the relationship among particular SI units

5.D5 develop formulas for areas and perimeters of squares and rectangles

5.D6 solve simple problems involving volume and capacity

5.D7 estimate angle size in degrees

5.D8 determine which unit is appropriate in a given situation and solve problems involving length and area

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

5.E1 draw a variety of nets for various prisms and pyramids

5.E2 identify, describe and represent the various cross-sections of cubes and rectangular prisms

5.E3 make and interpret isometric drawings of shapes made from cubes

5.E4 explore relationships between area and perimeter of squares and rectangles

5.E5 predict and construct figures made by combining two triangles

5.E6 recognize, name, describe and represent perpendicular lines/segments, bisectors of angles and segments, and perpendicular-bisectors of segments

5.E7 recognize, name, describe and construct right, obtuse and acute triangles

5.E8 make generalizations about the diagonal properties of squares and rectangles and apply them

5.E9 make generalizations about the properties of translations and reflections and apply them

5.E10 explore rotations of one-quarter, one-half and three-quarter turns, using a variety of centres

5.E11 make generalizations about the rotational symmetry properties of squares and rectangles and apply them

5.E12 recognize, name and represent figures that tessellate

5.E13 explore how figures can be dissected and transformed into other figures

5 Data Management and Probability

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

5.F1 use double bar graphs to display data

5.F2 use bar graphs to display and interpret data

5.F3 use coordinate graphs to display data

5.F4 create and interpret line graphs

5.F5 group data appropriately and use stem-and-leaf plots to describe the data

5.F6 recognize and explain the effect of changes in data on the mean of that data

5.F7 explore relevant issues for which data collection assists in reaching conclusions

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

5.G1 conduct simple experiments to determine probabilities

5.G2 determine simple theoretical probabilities and use fractions to describe them

4-6.1 Number Concepts/Number and Relationship Operations