Quebec

3.A Arithmetic

• 3.A.U Understanding and writing numbers

  • 3.A.U.A Natural numbers less than 100 000

    • 3.A.U.A.1 Counts or recites counting rhymes involving natural numbers

      • 3.A.U.A.1.b counts forward or backward

        • Count forward and backward by fives and tens (3-A.8)
        • Count forward and backward by twos, fives and tens (3-A.9)

      • 3.A.U.A.1.c skip counts (e.g. by twos)

        • Skip-counting by twos (3-A.1)
        • Skip-counting by fives (3-A.2)
        • Skip-counting by tens (3-A.3)
        • Skip-counting by fives and tens (3-A.4)
        • Skip-counting by twos, fives and tens (3-A.5)
        • Skip-counting stories (3-A.6)
        • Skip-counting sequences (3-A.7)
        • Skip-counting puzzles (3-A.10)

    • 3.A.U.A.2 Counts collections (using objects or drawings)

      • 3.A.U.A.2.c counts a collection by grouping or regrouping

        • Place value models up to hundreds (3-B.1)
        • Place value models up to thousands (3-B.2)

      • 3.A.U.A.2.d counts a pre-grouped collection

    • 3.A.U.A.3 Reads and writes any natural number

      • Write numbers in words: up to 1000 (3-A.17)
      • Write numbers in words: up to 100 000 (3-A.18)

    • 3.A.U.A.4 Represents natural numbers in different ways or associates a number with a set of objects or drawings emphasis on apparent, accessible groupings using objects, drawings or unstructured materials (e.g. tokens, nesting cubes, groups of ten objects placed inside a bag and ten of these bags placed inside another container)

      • 3.A.U.A.4.b emphasis on exchanging apparent, non-accessible groupings, using structured materials (e.g. base ten blocks, number tables)

        • Place value models up to hundreds (3-B.1)
        • Place value models up to thousands (3-B.2)
        • Place value names up to hundreds (3-B.3)
        • Place value names up to ten thousands (3-B.4)

      • 3.A.U.A.4.c emphasis on place value in non-apparent, non-accessible groupings, using materials for which groupings are symbolic (e.g. abacus, money)

        • Roman numerals I, V, X, L, C, D, M (3-A.19)
        • Count coins and bills: up to $5 bill (3-R.1)
        • Count coins and bills: up to $20 bill (3-R.2)

    • 3.A.U.A.5 Composes and decomposes a natural number in a variety of ways (e.g. 123 = 100 + 23, 123 = 100 + 20 + 3, 123 = 50 + 50 + 20 + 3, 123 = 2 × 50 + 30 - 7, 123 = 2 × 60 + 3)

      • Convert to/from a number: up to hundreds (3-B.7)
      • Convert to/from a number: up to ten thousands (3-B.8)
      • Convert between place values: up to hundreds (3-B.9)
      • Convert between place values: up to ten thousands (3-B.10)
      • Convert from expanded form: up to hundreds (3-B.11)
      • Convert from expanded form: up to ten thousands (3-B.12)
      • Convert between standard and expanded form: up to hundreds (3-B.13)
      • Convert between standard and expanded form: up to ten thousands (3-B.14)

    • 3.A.U.A.6 Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12, 52 = 104 ÷ 2)

    • 3.A.U.A.7 Compares natural numbers

      • Comparing numbers: up to 1000 (3-A.20)
      • Comparing numbers: up to 100 000 (3-A.21)
      • Pick the greatest/least number: up to 1000 (3-A.22)
      • Pick the greatest/least number: up to 100 000 (3-A.23)

    • 3.A.U.A.8 Arranges natural numbers in increasing or decreasing order

      • Put numbers up to 1000 in order (3-A.24)
      • Put numbers up to 100 000 in order (3-A.25)

    • 3.A.U.A.9 Describes number patterns, using his/her own words and appropriate mathematical vocabulary (e.g. even numbers, odd numbers, square numbers, triangular numbers, prime numbers, composite numbers)

      • Even or odd (3-A.12)
      • Even or odd: arithmetic rules (3-A.13)

    • 3.A.U.A.10 Locates natural numbers using different visual aids (e.g. hundreds chart, number strip, number line)

      • Number lines: up to 1000 (3-A.16)

    • 3.A.U.A.11 Identifies properties of natural numbers

      • 3.A.U.A.11.b square, prime or composite numbers

        • Prime and composite numbers (3-A.14)
        • Squares up to 100 (3-G.19)

    • 3.A.U.A.12 Classifies natural numbers in various ways, based on their properties (e.g. even numbers, composite numbers)

      • Even or odd (3-A.12)
      • Prime and composite numbers (3-A.14)

    • 3.A.U.A.13 Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value)

      • Estimate to the nearest 10 (3-O.1)
      • Round to the nearest 10 or 100 (3-O.2)
      • Round to the nearest 10 000 (3-O.3)
      • Round money amounts (3-O.4)
      • Rounding puzzles (3-O.5)

  • 3.A.U.B Fractions (using objects or drawings)

    • 3.A.U.B.2 Represents a fraction in a variety of ways, based on a whole or a collection of objects

      • Show fractions: fraction bars (3-X.8)
      • Show fractions: area models (3-X.9)
      • Identify fractions on number lines (3-X.16)

    • 3.A.U.B.3 Matches a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versa

      • Match fractions to models: halves, thirds and fourths (3-X.10)
      • Match unit fractions to models (3-X.11)
      • Match fractions to models (3-X.12)
      • Fractions of number lines: unit fractions (3-X.13)
      • Fractions of number lines (3-X.14)

    • 3.A.U.B.4 Identifies the different meanings of fractions (sharing, division, ratio)

      • Unit fractions: modelling word problems (3-X.20)
      • Fractions of a whole: modelling word problems (3-X.21)

    • 3.A.U.B.5 Distinguishes a numerator from a denominator

    • 3.A.U.B.6 Reads and writes a fraction

      • Understand fractions: fraction bars (3-X.6)
      • Understand fractions: area models (3-X.7)

    • 3.A.U.B.7 Compares a fraction to 0, 1/2 or 1

      • Graph smaller or larger fractions on number lines (3-X.19)

    • 3.A.U.B.8 Verifies whether two fractions are equivalent

      • Find equivalent fractions using area models: two models (3-Y.1)
      • Find equivalent fractions using area models: one model (3-Y.2)
      • Identify equivalent fractions on number lines (3-Y.3)
      • Find equivalent fractions using number lines (3-Y.4)
      • Select equivalent fractions (3-Y.5)
      • Find equivalent fractions (3-Y.6)

  • 3.A.U.C Decimals up to hundreths

    • 3.A.U.C.1 Represents decimals in a variety of ways (using objects or drawings)

      • What decimal number is illustrated? (3-AA.1)

    • 3.A.U.C.2 Identifies equivalent representations (using objects or drawings)

    • 3.A.U.C.3 Reads and writes numbers written in decimal notation

      • Understanding decimals expressed in words (3-AA.5)

    • 3.A.U.C.4 Understands the role of the decimal point

      • Place values in decimal numbers (3-AA.6)

    • 3.A.U.C.5 Composes and decomposes a decimal written in decimal notation

      • Convert decimals between standard and expanded form using fractions (3-AA.4)

    • 3.A.U.C.6 Recognizes equivalent expressions (e.g. 12 tenths is equivalent to 1 unit and 2 tenths; 0.5 is equivalent to 0.50)

      • Equivalent decimals (3-AA.7)

    • 3.A.U.C.7 Locates decimals on a number line

      • 3.A.U.C.7.a between two consecutive natural numbers

        • Graph decimals on number lines (3-AA.8)

    • 3.A.U.C.8 Compares two decimals

      • Compare decimals using models (3-AA.12)
      • Compare decimals on number lines (3-AA.13)
      • Inequalities with decimals (3-AA.14)

    • 3.A.U.C.9 Approximates (e.g. estimates, rounds to a given value, truncates decimal places)

      • Round decimals (3-AA.11)

    • 3.A.U.C.10 Arranges decimals in increasing or decreasing order

      • Put decimal numbers in order (3-AA.15)

    • 3.A.U.C.11 Matches

      • 3.A.U.C.11.a a fraction to its decimal

        • Model decimals and fractions (3-AA.2)
        • Convert between decimals and fractions (3-AA.3)
        • Graph fractions as decimals on number lines (3-AA.9)

• 3.A.M Meaning of operations involving numbers

  • 3.A.M.A Natural numbers less than 100 000

    • 3.A.M.A.1 Determines the operation(s) to perform in a given situation

      • Add and subtract data from tables (3-M.9)
      • Addition and subtraction word problems (3-M.10)
      • Multiplication and division word problems (3-M.11)
      • Addition, subtraction, multiplication and division word problems (3-M.13)
      • Two-step addition and subtraction word problems (3-M.15)
      • Two-step multiplication and division word problems (3-M.16)
      • Two-step mixed operation word problems (3-M.17)
      • Multi-step word problems (3-M.18)

    • 3.A.M.A.2 Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of addition and subtraction)

      • 3.A.M.A.2.a transformation (adding, taking away), uniting, comparing

        • Use models to add three-digit numbers - without regrouping (3-C.5)
        • Use models to add three-digit numbers - with regrouping (3-C.6)
        • Add two numbers up to three digits - word problems (3-C.9)
        • Add three or more numbers up to three digits - word problems (3-C.13)
        • Add two numbers up to four digits - word problems (3-C.17)
        • Add three or more numbers up to four digits - word problems (3-C.21)
        • Subtract numbers up to three digits - word problems (3-D.7)

      • 3.A.M.A.2.b composition of transformations: positive, negative

    • 3.A.M.A.3 Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of multiplication and division)

      • 3.A.M.A.3.b rectangular arrays, repeated addition, Cartesian product, area, volume, repeated subtraction, sharing, number of times x goes into y, and comparisons (using objects, diagrams or equations)

        • Count equal groups (3-E.1)
        • Identify multiplication expressions for equal groups (3-E.2)
        • Write multiplication sentences for equal groups (3-E.3)
        • Identify multiplication expressions for arrays (3-E.5)
        • Write multiplication sentences for arrays (3-E.6)
        • Make arrays to model multiplication (3-E.7)
        • Write multiplication sentences for number lines (3-E.8)
        • Multiplication facts up to 10: word problems (3-H.7)
        • Multiplication word problems with facts up to 5: find the missing factor (3-H.8)
        • Multiplication word problems with facts up to 10: find the missing factor (3-H.9)
        • Compare numbers using multiplication: word problems (3-H.11)
        • Divide by counting equal groups (3-I.1)
        • Write division sentences for groups (3-I.2)
        • Write division sentences for arrays (3-I.4)
        • Division facts up to 5: word problems (3-L.4)
        • Division facts up to 10: word problems (3-L.5)

    • 3.A.M.A.4 Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1)

      • Balance addition equations - up to two digits (3-C.4)
      • Balance addition equations - up to three digits (3-C.11)
      • Balance equations up to four digits (3-C.19)
      • Balance subtraction equations - up to two digits (3-D.4)
      • Balance subtraction equations - up to three digits (3-D.9)
      • Multiplication sentences up to 10: true or false? (3-G.18)
      • Division sentences up to 10: true or false? (3-K.14)
      • Multiplication and division sentences up to 12: true or false? (3-M.6)

    • 3.A.M.A.5 Determines numerical equivalencies using relationships between

      • 3.A.M.A.5.b operations (the four operations), the commutative property of addition and multiplication and the associative property

        • Properties of addition (3-C.24)
        • Add using properties (3-C.25)
        • Relate addition and multiplication (3-E.9)
        • Relate multiplication and division (3-I.6)

  • 3.A.M.B Decimals up to hundreths

    • 3.A.M.B.1 Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of addition and subtraction)

      • 3.A.M.B.1.a transformation (adding, taking away), uniting, comparing

        • Add and subtract decimals - word problems (3-AA.17)

      • 3.A.M.B.1.b composition of transformations: positive, negative

    • 3.A.M.B.2 Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of multiplication and division: rectangular arrays, Cartesian product, area, volume, sharing, number of times x goes into y, and comparisons)

    • 3.A.M.B.3 Determines numerical equivalencies

      • 3.A.M.B.3.a using the relationship between operations (addition and subtraction), the commutative property of addition and the associative property

• 3.A.O Operations involving numbers

  • 3.A.O.A Natural numbers

    • 3.A.O.A.1 Approximates the result of

      • 3.A.O.A.1.b any of the four operations involving natural numbers

        • Estimate sums up to 1000 (3-O.7)
        • Estimate sums up to 1 000 000 (3-O.8)
        • Estimate sums: word problems (3-O.9)
        • Estimate differences up to 1000 (3-O.10)
        • Estimate differences up to 1 000 000 (3-O.11)
        • Estimate differences: word problems (3-O.12)
        • Estimate sums and differences: word problems (3-O.13)
        • Estimate products (3-O.14)
        • Estimate products: word problems (3-O.15)
        • Estimate quotients (3-O.16)
        • Estimate quotients: word problems (3-O.17)
        • Estimate sums, differences, products and quotients: word problems (3-O.18)
        • Two-step word problems: identify reasonable answers (3-O.19)

    • 3.A.O.A.2 Builds a repertoire of memorized addition and subtraction facts

      • 3.A.O.A.2.b Develops various strategies that promote mastery of number facts and relates them to the properties of addition

      • 3.A.O.A.2.c Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts

        • Add one-digit numbers (3-C.1)
        • Subtraction facts: up to 18 (3-D.1)

    • 3.A.O.A.3 Develops processes for mental computation

      • 3.A.O.A.3.b Uses his/her own processes to determine the product or quotient of two natural numbers

        • Multiplication facts for 2, 5, 10 (3-G.1)
        • Multiplication facts up to 5 (3-G.5)
        • Multiplication facts for 6, 7, 8 and 9 (3-G.9)
        • Multiplication facts up to 10 (3-G.13)
        • Multiplication facts to 12 (3-G.20)
        • Division facts for 2, 5 and 10 (3-K.1)
        • Division facts up to 5 (3-K.4)
        • Division facts for 6, 7, 8 and 9 (3-K.6)
        • Division facts up to 10 (3-K.9)
        • Division facts up to 12 (3-K.15)

    • 3.A.O.A.4 Develops processes for written computation (addition and subtraction)

      • 3.A.O.A.4.b Uses conventional processes to determine the sum of two natural numbers of up to four digits

        • Add two numbers up to two digits (3-C.2)
        • Use models to add three-digit numbers - without regrouping (3-C.5)
        • Use models to add three-digit numbers - with regrouping (3-C.6)
        • Add two numbers up to three digits (3-C.7)
        • Addition input/output tables - up to three digits (3-C.8)
        • Add two numbers up to three digits - word problems (3-C.9)
        • Addition up to three digits: fill in the missing digits (3-C.14)
        • Add two numbers up to four digits (3-C.15)
        • Addition input/output tables - up to four digits (3-C.16)
        • Add two numbers up to four digits - word problems (3-C.17)
        • Addition up to four digits: fill in the missing digits (3-C.22)

      • 3.A.O.A.4.c Uses conventional processes to determine the difference between two natural numbers of up to four digits whose result is greater than 0

        • Subtract numbers up to two digits (3-D.2)
        • Subtract numbers up to three digits (3-D.5)
        • Subtraction input/output tables - up to three digits (3-D.6)
        • Subtract numbers up to three digits - word problems (3-D.7)
        • Subtraction up to three digits: fill in the missing digits (3-D.10)
        • Subtract numbers up to four digits (3-D.11)
        • Subtraction input/output tables - up to four digits (3-D.12)
        • Subtraction up to four digits: fill in the missing digits (3-D.14)

    • 3.A.O.A.6 Builds a repertoire of memorized multiplication and division facts

      • 3.A.O.A.6.a Builds a memory of multiplication facts (0 × 0 to 10 × 10) and the corresponding division facts, using objects, drawings, charts or tables

        • Count equal groups (3-E.1)
        • Multiplication input/output tables (3-H.4)
        • Multiplication input/output tables: find the rule (3-H.5)
        • Divide by counting equal groups (3-I.1)
        • Division input/output tables (3-L.3)

      • 3.A.O.A.6.b Develops various strategies that promote mastery of number facts and relate them to the properties of multiplication

        • Relate addition and multiplication (3-E.9)
        • Relate multiplication and division (3-I.6)

      • 3.A.O.A.6.c Masters all multiplication facts (0 × 0 to 10 × 10) and the corresponding division facts

        • Multiply by 0 (3-F.1)
        • Multiply by 1 (3-F.2)
        • Multiply by 2 (3-F.3)
        • Multiply by 3 (3-F.4)
        • Multiply by 4 (3-F.5)
        • Multiply by 5 (3-F.6)
        • Multiply by 6 (3-F.7)
        • Multiply by 7 (3-F.8)
        • Multiply by 8 (3-F.9)
        • Multiply by 9 (3-F.10)
        • Multiply by 10 (3-F.11)
        • Multiplication facts up to 10 (3-G.13)
        • Multiplication facts up to 10: true or false? (3-G.14)
        • Divide by 1 (3-J.1)
        • Divide by 2 (3-J.2)
        • Divide by 3 (3-J.3)
        • Divide by 4 (3-J.4)
        • Divide by 5 (3-J.5)
        • Divide by 6 (3-J.6)
        • Divide by 7 (3-J.7)
        • Divide by 8 (3-J.8)
        • Divide by 9 (3-J.9)
        • Divide by 10 (3-J.10)
        • Division facts up to 10 (3-K.9)
        • Division facts up to 10: true or false? (3-K.10)
        • Multiplication and division facts up to 5: true or false? (3-M.3)
        • Multiplication and division facts up to 10: true or false? (3-M.4)

    • 3.A.O.A.7 Develops processes for written computation (multiplication and division)

      • 3.A.O.A.7.a Uses his/her own processes as well as materials and drawings to determine the product or quotient of a three-digit natural number and a one-digit natural number, expresses the remainder of a division as a fraction, depending on the context

        • Multiply one-digit numbers by two-digit numbers using area models I (3-H.12)
        • Multiply one-digit numbers by two-digit numbers using area models II (3-H.13)
        • Multiply one-digit numbers by two-digit numbers (3-H.14)
        • Multiply one-digit numbers by two-digit numbers: word problems (3-H.15)
        • Multiply one-digit numbers by three-digit numbers using area models I (3-H.16)
        • Multiply one-digit numbers by three-digit numbers using area models II (3-H.17)
        • Multiply one-digit numbers by three-digit numbers (3-H.18)
        • Multiply one-digit numbers by three-digit numbers: word problems (3-H.19)
        • Divide two-digit numbers using area models (3-L.6)
        • Divide two-digit numbers (3-L.7)
        • Divide two-digit numbers: word problems (3-L.8)
        • Divide two-digit numbers with remainders using arrays (3-L.9)
        • Divide two-digit numbers with remainders (3-L.10)
        • Divide three-digit numbers using area models (3-L.11)
        • Divide three-digit numbers (3-L.12)
        • Divide three-digit numbers: word problems (3-L.13)

    • 3.A.O.A.8 Determines the missing term in an equation (relationships between operations): a × b = __, a × __ = c, __ × b = c, a ÷ b = __, a ÷ __ = c,__ ÷ b = c

      • Multiplication facts for 2, 5 and 10: find the missing factor (3-G.4)
      • Multiplication facts up to 5: find the missing factor (3-G.8)
      • Multiplication facts for 6, 7, 8 and 9: find the missing factor (3-G.12)
      • Multiplication facts up to 10: find the missing factor (3-G.16)
      • Multiplication facts up to 10: select the missing factors (3-G.17)
      • Multiplication facts up to 12: find the missing factor (3-G.21)
      • Division facts up to 10: find the missing number (3-K.12)
      • Division facts up to 10: select the missing numbers (3-K.13)

    • 3.A.O.A.13 Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes

      • 3.A.O.A.13.c series of numbers and family of operations

        • Relate addition and multiplication for equal groups (3-E.4)
        • Relate addition and multiplication (3-E.9)
        • Relate multiplication and division for groups (3-I.3)
        • Relate multiplication and division for arrays (3-I.5)
        • Relate multiplication and division (3-I.6)

    • 3.A.O.A.14 Adds new terms to a series when the first three terms or more are given

      • Number sequences (3-A.11)
      • Number sequences involving decimals (3-AA.10)

    • 3.A.O.A.15 Uses a calculator and

      • 3.A.O.A.15.b becomes familiar with its × and ÷ functions

  • 3.A.O.B Fractions (using objects or diagrams)

    • 3.A.O.B.1 Generates a set of equivalent fractions

      • Find equivalent fractions using area models: two models (3-Y.1)
      • Find equivalent fractions using area models: one model (3-Y.2)
      • Identify equivalent fractions on number lines (3-Y.3)
      • Find equivalent fractions using number lines (3-Y.4)
      • Select equivalent fractions (3-Y.5)
      • Find equivalent fractions (3-Y.6)
      • Write fractions in lowest terms (3-Y.7)

  • 3.A.O.C Decimals

    • 3.A.O.C.1 Approximates the result of

      • 3.A.O.C.1.a an addition or a subtraction

        • Estimate sums and differences of decimals (3-AA.18)

    • 3.A.O.C.2 Develops processes for mental computation

      • 3.A.O.C.2.a adds and subtracts decimals

        • Add and subtract decimals (3-AA.16)
        • Add and subtract decimals - word problems (3-AA.17)

    • 3.A.O.C.3 Develops processes for written computation

      • 3.A.O.C.3.a adds and subtracts decimals whose result does not go beyond the second decimal place

        • Add and subtract decimals (3-AA.16)
        • Add and subtract decimals - word problems (3-AA.17)
        • Add three or more decimal numbers (3-AA.19)

3.G Geometry

• 3.G.A Space

  • 3.G.A.2 Locates objects in a plane

    • Objects on a coordinate plane (3-T.1)
    • Coordinate planes as maps (3-T.2)

  • 3.G.A.3 Locates objects on an axis (based on the types of numbers studied)

    • Number lines: up to 1000 (3-A.16)
    • Graph decimals on number lines (3-AA.8)

  • 3.G.A.4 Locates points in a Cartesian plane

    • 3.G.A.4.a in the first quadrant

      • Graph points on a coordinate plane (3-T.3)

• 3.G.B Solids

  • 3.G.B.2 Compares and constructs solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)

    • Identify three-dimensional shapes (3-V.6)

  • 3.G.B.5 Describes prisms and pyramids in terms of faces, vertices and edges

    • Count vertices, edges and faces (3-V.7)
    • Identify faces of three-dimensional shapes (3-V.8)

  • 3.G.B.6 Classifies prisms and pyramids

  • 3.G.B.7 Constructs a net of a prism or pyramid

  • 3.G.B.8 Matches the net of

    • 3.G.B.8.a a prism to the corresponding prism and vice versa

      • Nets of three-dimensional shapes (3-V.9)

    • 3.G.B.8.b a pyramid to the corresponding pyramid and vice versa

      • Nets of three-dimensional shapes (3-V.9)

• 3.G.C Plane figures

  • 3.G.C.4 Describes convex and nonconvex polygons

    • Is it a polygon? (3-V.12)

  • 3.G.C.5 Identifies and constructs parallel lines and perpendicular lines

    • Parallel, perpendicular and intersecting lines (3-V.14)

  • 3.G.C.6 Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles)

    • Parallel sides in quadrilaterals (3-V.3)
    • Draw quadrilaterals (3-V.5)

  • 3.G.C.7 Classifies quadrilaterals

    • Classify quadrilaterals (3-V.4)

• 3.G.D Frieze patterns and tessellations

  • 3.G.D.2 Observes and produces patterns using geometric figures

    • Repeating patterns (3-Q.1)
    • Find the next shape in a repeating pattern (3-Q.2)
    • Complete a repeating pattern (3-Q.3)
    • Make a repeating pattern (3-Q.4)
    • Growing patterns (3-Q.5)
    • Find the next shape in a growing pattern (3-Q.6)
    • Find the next row in a growing pattern (3-Q.7)

  • 3.G.D.3 Observes and produces frieze patterns and tessellations

    • 3.G.D.3.a using reflections

      • Reflection, rotation and translation (3-V.18)

3.M Measurement

• 3.M.A Lengths

  • 3.M.A.4 Estimates and measures the dimensions of an object using conventional units

    • 3.M.A.4.b metre, decimetre, centimetre and millimetre

      • Measure using a centimetre ruler (3-U.3)
      • Which unit of length is appropriate? (3-U.4)

  • 3.M.A.5 Establishes relationships between units of measure for length

    • 3.M.A.5.a metre, decimetre, centimetre and millimetre

      • Compare units of length (3-U.5)

  • 3.M.A.6 Calculates the perimeter of plane figures

    • Perimeter of rectangles (3-W.1)
    • Perimeter of polygons (3-W.2)
    • Perimeter of rectilinear shapes (3-W.3)
    • Perimeter of figures on grids (3-W.4)
    • Perimeter: find the missing side length (3-W.5)
    • Perimeter: word problems (3-W.6)

• 3.M.B Surface areas

  • 3.M.B.1 Estimates and measures surface area

    • 3.M.B.1.a using unconventional units

      • Find the area of figures made of unit squares (3-W.7)
      • Tile a rectangle and find the area (3-W.10)
      • Find the area of rectangles and squares (3-W.14)
      • Area of figures on grids (3-W.16)

• 3.M.C Volumes

  • 3.M.C.1 Estimates and measures volume

    • 3.M.C.1.a using unconventional units

      • Volume (3-W.19)

• 3.M.D Angles

  • 3.M.D.1 Compares angles

    • Angles greater than, less than or equal to a right angle (3-V.15)

• 3.M.E Capacities

  • 3.M.E.1 Estimates and measures capacity using unconventional units

  • 3.M.E.2 Estimates and measures capacity using conventional units

    • Which unit of volume is appropriate? (3-U.10)

• 3.M.F Masses

  • 3.M.F.1 Estimates and measures mass using unconventional units

  • 3.M.F.2 Estimates and measures mass using conventional units

    • Which unit of mass is appropriate? (3-U.7)

• 3.M.G Time

  • 3.M.G.1 Estimates and measures time using conventional units

    • Match clocks and times (3-S.1)
    • Match analogue and digital clocks (3-S.2)
    • Read clocks and write times (3-S.3)
    • A.M. or P.M. (3-S.4)
    • Write times (3-S.5)
    • Elapsed time (3-S.6)
    • Elapsed time word problems (3-S.7)
    • Read a calendar (3-S.8)
    • Reading schedules - 12-hour time (3-S.14)
    • Reading schedules - 24-hour time (3-S.15)
    • Timelines (3-S.16)

  • 3.M.G.2 Establishes relationships between units of measure

    • Convert between seconds, minutes and hours (3-S.9)
    • Relate time units (3-S.10)
    • Convert between hours and fractions of hours (3-S.12)
    • Convert between 12-hour and 24-hour time (3-S.13)

• 3.M.H Temperatures

  • 3.M.H.1 Estimates and measures temperature using conventional units

    • Read a thermometer (3-U.1)
    • Reasonable temperature (3-U.2)

3.S Statistics

• 3.S.1 Formulates questions for a survey (based on age-appropriate topics, students' language level, etc.)

• 3.S.2 Collects, describes and organizes data (classifies or categorizes) using tables

  • Read a table (3-T.4)

• 3.S.3 Interprets data using

  • 3.S.3.b a table, a bar graph, a pictograph and a broken-line graph

    • Interpret pictographs I (3-T.5)
    • Interpret pictographs II (3-T.6)
    • Interpret bar graphs (3-T.9)
    • Use bar graphs to solve problems (3-T.11)
    • Interpret line graphs (3-T.16)

• 3.S.4 Displays data using

  • 3.S.4.b a table, a bar graph, a pictograph and a broken-line graph

    • Create pictographs I (3-T.7)
    • Create pictographs II (3-T.8)
    • Create bar graphs (3-T.10)
    • Create line graphs (3-T.17)

3.P Probability

• 3.P.1 When applicable, recognizes variability in possible outcomes (uncertainty)

  • Certain, probable, unlikely and impossible (3-BB.2)

• 3.P.2 When applicable, recognizes equiprobability (e.g. quantity, symmetry of an object [cube])

  • More, less and equally likely (3-BB.1)

• 3.P.3 When applicable, becomes aware of the independence of events in an experiment

• 3.P.4 Experiments with activities involving chance, using various objects (e.g. spinners, rectangular prisms, glasses, marbles, thumb tacks, 6-, 8- or 12-sided dice)

• 3.P.5 Predicts qualitatively an outcome or several events using a probability line, among other things

  • 3.P.5.a certain, possible or impossible outcome

    • Certain, probable, unlikely and impossible (3-BB.2)

  • 3.P.5.b more likely, just as likely, less likely event

    • More, less and equally likely (3-BB.1)

• 3.P.6 Distinguishes between prediction and outcome

• 3.P.7 Uses tables or diagrams to collect and display the outcomes of an experiment

• 3.P.8 Enumerates possible outcomes of

  • 3.P.8.b a random experiment, using a table, a tree diagram

• 3.P.9 Compares qualitatively the theoretical or experimental probability of events

• 3.P.13 Simulates random experiments with or without the use of technology