Grade 5 - Mathematics (2016)

NUMBER General Outcome Develop number sense.

PATTERNS AND RELATIONS (Patterns) General Outcome Use patterns to describe the world and to solve problems.

PATTERNS AND RELATIONS (Variables and Equations) General Outcome Represent algebraic expressions in multiple ways.

SHAPE AND SPACE (Measurement) General Outcome Use direct and indirect measurement to solve problems.

SHAPE AND SPACE (3-D Objects and 2-D Shapes) General Outcome Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

SHAPE AND SPACE (Transformations) General Outcome Describe and analyze position and motion of objects and shapes.

STATISTICS AND PROBABILITY (Data Analysis) General Outcome Collect, display and analyze data to solve problems.

STATISTICS AND PROBABILITY (Chance and Uncertainty) General Outcome Use experimental or theoretical probabilities to represent and solve problems involving uncertainty

Represent and describe whole numbers to 1 000 000.

Use estimation strategies in problem-solving contexts.

Apply mental mathematics strategies and number properties in order to understand and recall basic multiplication facts (multiplication tables) to 81 and related division facts.

Apply mental mathematics strategies for multiplication.

Demonstrate, with and without concrete materials, an understanding of multiplication (2-digit by 2-digit) to solve problems.

Demonstrate, with and without concrete materials, an understanding of division (3-digit by 1-digit), and interpret remainders to solve problems.

Demonstrate an understanding of fractions by using concrete, pictorial and symbolic representations to: 

. Describe and represent decimals (tenths, hundredths, thousandths), concretely, pictorially and symbolically.

Relate decimals to fractions and fractions to decimals (to thousandths).

Compare and order decimals (to thousandths) by using:

Demonstrate an understanding of addition and subtraction of decimals (limited to thousandths).

Determine the pattern rule to make predictions about subsequent elements.

Express a given problem as an equation in which a letter variable is used to represent an unknown number (limited to whole numbers).

Solve problems involving single-variable, one-step equations with whole number coefficients and whole number solutions.

Identify 90º angles.

Design and construct different rectangles, given either perimeter or area, or both (whole numbers), and make generalizations.

Demonstrate an understanding of measuring length (mm) by:

Demonstrate an understanding of volume by:

Demonstrate an understanding of capacity by:

Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are:

Identify and sort quadrilaterals, including:

Identify and describe a single transformation, including a translation, rotation and reflection of 2-D shapes

Perform, concretely, a single transformation (translation, rotation or reflection) of a 2-D shape, and draw the image

Differentiate between first-hand and second-hand data.

Construct and interpret double bar graphs to draw conclusions.

Describe the likelihood of a single outcome occurring, using words such as:

Compare the likelihood of two possible outcomes occurring, using words such as:

using personal strategies for adding and subtracting

estimating sums and differences 

solving problems involving addition and subtraction.

using personal strategies for adding and subtracting

estimating sums and differences 

solving problems involving addition and subtraction.

create sets of equivalent fractions

compare fractions with like and unlike denominators.

benchmarks 

place value

equivalent decimals.

using personal strategies for adding and subtracting

estimating sums and differences

solving problems involving addition and subtraction.

selecting and justifying referents for the unit mm

modelling and describing the relationship between mm and cm units, and between mm and m units.

selecting and justifying referents for cm^3 or m^3 units

estimating volume, using referents for cm^3 or m^3

measuring and recording volume (cm^3 or m^3 ) 

constructing right rectangular prisms for a given volume.

describing the relationship between mL and L

selecting and justifying referents for mL or L units

estimating capacity, using referents for mL or L

measuring and recording capacity (mL or L).

parallel

intersecting

perpendicular

vertical

horizontal

rectangles according to their attributes.

squares according to their attributes.

trapezoids according to their attributes.

parallelograms according to their attributes.

rhombuses according to their attributes.

impossible

possible

certain

less likely

equally likely

more likely.