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Grade Five

GRADE FIVE

      GCO A: Students will demonstrate number sense and apply number theory concepts.  Students will be expected to:

A1   represent whole numbers to the millions

A2   interpret and model decimal tenths, hundredths, and thousandths

A3   interpret, model, and rename fractions

A4   demonstrate an understanding of the relationship between fractions and division

A5   explore the concepts of ratio and rate informally

A6   read and represent numbers to millions

A7   read and represent decimals to thousandths

A8   compare and order large numbers

A9   compare and order decimals

A10 compare and order fractions using conceptual methods

A11 recognize and find factors of numbers

 

 

                      GCO B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.    Students will be expected to:

B1   find sums and differences involving decimals to thousandths

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

B3   find the product of two, 2-digit numbers

       B4    divided 2-, 3-, and 4-digit numbers by single-digit divisors and investigate division by 2-digit divisors

B5   find simple products of whole numbers and decimals

B6   divide decimal numbers by single-digit whole numbers

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

B8   solve and create addition and subtraction problems involving whole number and/or decimals

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

B10 estimate sums and differences involving decimals to thousandths

B11 estimate products and quotients of two whole numbers

B12 estimate products and quotients of decimals by single-digit whole numbers

B13 perform appropriate mental multiplications with facility

B14 divide numbers mentally when appropriate

B15 multiply whole numbers mentally by 0.1, 0.01, 0.001

 

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

                Students will be expected to:

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

        C2  recognize and explain the patterns in dividing by 10, 100, and 1000 and/or in multiplying by 0.1, 0.01, 0.001

C3   solve problems using patterns

C4   rearrange factors to make multiplication simpler

C5   recognize how a change in one factor affects a product or quotient

C6   predict how a change in unit affects an SI measurement

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

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

C9   represent measurement relationships using tables and two-dimensional graphs

 

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

                Students will be expected to:

D1   solve simple problems involving the perimeters of polygons

D2   calculate areas of irregular shapes

D3   determine the measures of right angles, acute angles and obtuse angles

D4   demonstrate an understanding of the relationships among particular SI units

D5   develop formulas for areas and perimeters of squares and other rectangles

D6   solve simple problems involving volume and capacity

D7   estimate angle size in degrees

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

 

      GCO E: Students will demonstrate spatial sense and apply geometric concepts, and relationships.  Students will be expected to:

E1    draw a variety of nets for different prisms and pyramids

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

E3    make and interpret isometric drawings of shapes made from cubes

E4    explore relationships between area and perimeter of squares and rectangles

E5    predict and construct figures made by combining two triangles

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

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

        E8   make generalizations about the diagonal properties of squares and rectangles and apply these properties

E9    make generalizations about the properties of translations and reflections and apply these properties

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

       E11   make generalizations about the rotational symmetry property of squares and rectangles and apply them

E12  recognize, name, and represent figures that tessellate

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

 

                      GCO F: Students will solve problems involving the collection, display, and analysis of data.  Students will be expected to:

F1    use double bar graphs to display data

F2    use pictographs and bar graphs to display and interpret data

F3    use coordinate graphs to display data

F4    create and interpret line graphs

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

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

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

 

                      GCO G: Students will represent and solve problems involving uncertainty.  Students will be expected to:

G1   conduct simple experiments to determine experimental probabilities

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

 

Number

N01: Students will be expected to represent, partition, and compare whole numbers to 1,000,000.

N02: Students will be expected to use estimation strategies, including front-end, front-end adjusted, rounding, and compatible numbers, in problem-solving contexts.

N03: Students will be expected to describe and apply mental mathematics strategies and number properties to recall, with fluency, answers for basic multiplication facts to 81 and related division facts.

N04: Students will be expected to apply mental mathematics strategies for multiplication, including

            - multiplying by multiples of 10, 100, and 1000

            - halving and doubling

            - using the distributive property

N05: Students will be expected to demonstrate, with and without concrete materials, an understanding of multiplication (two-digit by two-digit) to solve problems.

N06: Students will be expected to demonstrate, with and without concrete materials, an understanding of division (three-digit by one-digit), and interpret remainders to solve problems.

N07: Students will be expected to demonstrate an understanding of fractions by using concrete, pictorial, and symbolic representations to

            - create sets of equivalent fractions

            - compare and order fractions with like and unlike denominators

N08: Students will be expected to describe and represent decimals (tenths, hundredths, and thousandths) concretely, pictorially, and symbolically.

N09: Students will be expected to relate decimals to fractions and fractions to decimals (to thousandths).

N10: Students will be expected to compare and order decimals (to thousandths) by using benchmarks, place value, and equivalent decimals.

N11: Students will be expected to demonstrate an understanding of addition and subtraction of decimals (limited to thousandths).

Patterns and Relations

PR01: Students will be expected to determine the pattern rule to make predictions about subsequent terms.

PR02: Students will be expected to solve problems involving single-variable, one-step equations with whole number coefficients and whole number solutions.

Measurement

M01: Students will be expected to design and construct different rectangles, given a perimeter or an area or both (whole numbers), and make generalizations.

M02: Students will be expected to demonstrate an understanding of measuring length (mm) by

            - selecting and justifying referents for the unit millimetre (mm)

            - modelling and describing the relationship between millimetre (mm) and centimetre (cm) units, and between millimetre (mm) and metre (m) units

M03: Students will be expected to demonstrate an understanding of volume by

            - selecting and justifying referents for cubic centimetre (cm3) or cubic metre (m3) units 

            - estimating volume using referents for cubic centimetre (cm3) or cubic metre (m3)

            - measuring and recording volume (cm3 or m3) 

            - constructing rectangular prisms for a given volume

M04: Students will be expected to demonstrate an understanding of capacity by

            - describing the relationship between millilitre (mL) and litre (L) units

            - selecting and justifying referents for millilitre (mL) and litre (L) units

            - estimating capacity using referents for millilitre (mL) and litre (L)

            - measuring and recording capacity (mL or L)

 

Geometry

G01: Students will be expected to describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are parallel, intersecting, perpendicular, vertical, and horizontal.

G02: Students will be expected to name, identify, and sort quadrilaterals, including rectangles, squares, trapezoids, parallelograms, and rhombi, according to their attributes.

G03: Students will be expected to perform a single transformation (translation, rotation, or reflection) of a 2-D shape (with and without technology) and draw and describe the image.

G04: Students will be expected to identify and describe a single transformation, including a translation, rotation, and reflection of 2-D shapes.

G05: Students will be expected to identify right angles.

 

Statistics and Probability

SP01: Students will be expected to differentiate between first-hand and second-hand data.

SP02: Students will be expected to construct and interpret double bar graphs to draw conclusions.

SP03: Students will be expected to describe the likelihood of a single outcome occurring, using words such as impossible, possible, and certain.

SP04: Students will be expected to compare the likelihood of two possible outcomes occurring, using words such as less likely, equally likely, or more likely. 

                      

 

 

 


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