Education and Early Childhood Learning

General Learning Outcome: Develop number sense.

• 5.N.1. Represent and describe whole numbers to 1 000 000.
  [C, CN, T, V]

• 5.N.2. Apply estimation strategies, including

  • front-end rounding
  • compensation
  • compatible numbers

  in problem-solving contexts.
  [C, CN, ME, PS, R, V]

• 5.N.3. Apply mental math strategies to determine multiplication and related division facts to 81 (9 x 9).
  [C, CN, ME, R, V]

  Recall of multiplication facts to 81 and related division facts is expected by the end of Grade 5

• 5.N.4. Apply mental mathematics strategies for multiplication, such as

  • annexing then adding zeros
  • halving and doubling
  • using the distributive property

  [C, CN, ME, PS, R]

• 5.N.5. Demonstrate an understanding of multiplication (1- and 2-digit multipliers and up to 4-digit multiplicands), concretely, pictorially, and symbolically, by

  • using personal strategies
  • using the standard algorithm
  • estimating products

  to solve problems.
  [C, CN, ME, PS, V]

• 5.N.6. Demonstrate an understanding of division (1- and 2-digit divisors and up to 4-digit dividends), concretely, pictorially, and symbolically, and interpret remainders by

  • using personal strategies
  • using the standard algorithm
  • estimating quotients

  to solve problems.
  [C, CN, ME, PS]

• 5.N.7. Demonstrate an understanding of fractions by using concrete and pictorial representations to

  • create sets of equivalent fractions
  • compare fractions with like and unlike denominators

  [C, CN, PS, R, V]

• 5.N.8. Describe and represent decimals (tenths, hundredths, and thousandths), concretely, pictorially, and symbolically.
  [C, CN, R, V]

• 5.N.9. Relate decimals to fractions (tenths, hundredths, thousandths).
  [CN, R, V]

• 5.N.10. Compare and order decimals (tenths, hundredths, thousandths) by using

  • benchmarks
  • place value
  • equivalent decimals

  [CN, R, V]

• 5.N.11. Demonstrate an understanding of addition and subtraction of decimals (to thousandths), concretely, pictorially, and symbolically, by

  • using personal strategies
  • using the standard algorithms
  • using estimation
  • solving problems

  [C, CN, ME, PS, R, V]

General Learning Outcome: Use patterns to describe the world and solve problems.

• 5.PR.1. Determine the pattern rule to make predictions about subsequent elements.
  [C, CN, PS, R, V]

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General Learning Outcome: Represent algebraic expressions in multiple ways.

• 5.PR.2. Solve problems involving single-variable (expressed as symbols or letters), one-step equations with whole-number coefficients, and whole-number solutions.
  [C, CN, PS, R]

General Learning Outcome: Use direct or indirect measurement to solve problems.

• 5.SS.1. Design and construct different rectangles given either perimeter or area, or both (whole numbers), and draw conclusions.
  [C, CN, PS, R, V]

• 5.SS.2. Demonstrate an understanding of measuring length (mm) by

  • selecting and justifying referents for the unit mm
  • modelling and describing the relationship between mm and cm units, and between mm and m units

  [C, CN, ME, PS, R, V]

• 5.SS.3. Demonstrate an understanding of volume by

  • selecting and justifying referents for the units cm³ or m³
  • estimating volume by using referents for cm³ or m³
  • measuring and recording volume (cm³ or m³)
  • constructing different rectangular prisms for a given volume

  [C, CN, ME, PS, R, V]

• 5.SS.4. Demonstrate an understanding of capacity by

  • describing the relationship between mL and L
  • selecting and justifying referents for mL or L units
  • estimating capacity by using referents for mL or L
  • measuring and recording capacity (mL or L)

  [C, CN, ME, PS, R, V]

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General Learning Outcome: Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

• 5.SS.5. Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are

  • parallel
  • intersecting
  • perpendicular
  • vertical
  • horizontal

  [C, CN, R, T, V]

• 5.SS.6. Identify and sort quadrilaterals, including

  • rectangles
  • squares
  • trapezoids
  • parallelograms
  • rhombuses

  according to their characteristics.
  [C, R, V]

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General Learning Outcome: Describe and analyze position and motion of objects and shapes.

• 5.SS.7. Perform a single transformation (translation, rotation, or reflection) of a 2-D shape, and draw and describe the image.
  [C, CN, V]

• 5.SS.8. Identify a single transformation (translation, rotation, or reflection) of 2-D shapes.
  [C, T, V]

General Learning Outcome: Collect, display, and analyze data to solve problems.

• 5.SP.1. Differentiate between first-hand and second-hand data.
  [C, R, T, V]

• 5.SP.2. Construct and interpret double bar graphs to draw conclusions.
  [C, PS, R, T, V]

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General Learning Outcome: Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

• 5.SP.3. Describe the likelihood of a single outcome occurring, using words such as

  • impossible
  • possible
  • certain

  [C, CN, PS, R]

• 5.SP.4. Compare the likelihood of two possible outcomes occurring, using words such as

  • less likely
  • equally likely
  • more likely

  [C, CN, PS, R]