Nunavut

N Number

• N.1 Develop number sense.

  • N.1.1 Represent and describe whole numbers to 10 000, pictorially and symbolically.

    • Place values review (4-A.7)
    • Word names for numbers (4-A.8)
    • Even or odd: arithmetic rules (4-A.13)
    • Roman numerals (4-A.16)
    • Prime and composite numbers (4-A.17)

  • N.1.2 Compare and order numbers to 10 000.

    • Put numbers in order (4-A.20)

  • N.1.3 Demonstrate an understanding of addition of numbers with answers to 10 000 and their corresponding subtractions (limited to 3 and 4-digit numerals) by:

    • N.1.3.1 using personal strategies for adding and subtracting

      • 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)
      • Complete the addition sentence - up to three digits (3-C.10)
      • Balance addition equations - up to three digits (3-C.11)
      • Properties of addition (4-B.14)
      • Choose numbers with a particular sum (4-B.17)
      • Choose numbers with a particular difference (4-C.15)

    • N.1.3.2 estimating sums and differences

    • N.1.3.3 solving problems involving addition and subtraction.

      • Add two numbers up to three digits - word problems (3-C.9)
      • Word problems with extra or missing information (4-I.5)
      • Solve word problems using guess-and-check (4-I.6)
      • Multi-step word problems (4-I.10)

  • N.1.4 Explain the properties of 0 and 1 for multiplication and the property of 1 for division.

    • Properties of multiplication (4-E.21)
    • Relate multiplication and division (4-G.6)

  • N.1.5 Describe and apply mental mathematics strategies, such as:

    • N.1.5.1 skip counting from a known fact to determine basic multiplication facts to 9 × 9 and related division facts.

      • Multiplication facts up to 10 (4-E.1)
      • Division facts up to 10 (4-H.1)
      • Division facts up to 10: word problems (4-H.2)

    • N.1.5.2 using doubling or halving to determine basic multiplication facts to 9 × 9 and related division facts.

    • N.1.5.3 using doubling or halving and adding or subtracting one more group to determine basic multiplication facts to 9 × 9 and related division facts.

    • N.1.5.4 using patterns in the 9s facts to determine basic multiplication facts to 9 × 9 and related division facts.

    • N.1.5.5 using repeated doubling to determine basic multiplication facts to 9 × 9 and related division facts.

  • N.1.6 Demonstrate an understanding of multiplication (2- or 3-digit by 1-digit) to solve problems by:

    • N.1.6.1 using personal strategies for multiplication with and without concrete materials

      • Multiply one-digit numbers by three-digit numbers (3-H.18)
      • Multiply one-digit numbers by three-digit numbers: word problems (3-H.19)
      • Multiply 1-digit numbers by 2-digit numbers (4-E.11)
      • Multiply 1-digit numbers by 2-digit numbers: word problems (4-E.12)
      • Inequalities with multiplication (4-E.33)

    • N.1.6.2 using arrays to represent multiplication

    • N.1.6.3 connecting concrete representations to symbolic representations

    • N.1.6.4 estimating products.

      • Estimate products: multiply by 1-digit numbers (4-E.25)

  • N.1.7 Demonstrate an understanding of division (1-digit divisor and up to 2-digit dividend) to solve problems by:

    • N.1.7.1 using personal strategies for dividing with and without concrete materials

      • Division facts up to 10 (4-H.1)
      • Division facts up to 10: word problems (4-H.2)
      • Choose numbers with a particular quotient (4-H.12)
      • Divisibility rules (4-H.17)
      • Divisibility rules: word problems (4-H.18)
      • Inequalities with division (4-H.20)

    • N.1.7.2 estimating quotients

    • N.1.7.3 relating division to multiplication.

      • Multiplication facts up to 10 (4-E.1)
      • Division facts up to 10 (4-H.1)

  • N.1.8 Demonstrate an understanding of fractions less than or equal to one by using concrete and pictorial representations to:

    • N.1.8.1 name and record fractions for the parts of a whole or a set

      • Understand fractions: fraction bars (4-T.5)
      • Understand fractions: area models (4-T.6)
      • Show fractions: fraction bars (4-T.7)
      • Show fractions: area models (4-T.8)
      • Match fractions to models (4-T.11)
      • Unit fractions: modelling word problems (4-T.20)
      • Unit fractions: word problems (4-T.21)
      • Fractions of a whole: modelling word problems (4-T.22)
      • Fractions of a whole: word problems (4-T.23)
      • Fractions of a group: word problems (4-T.24)

    • N.1.8.2 compare and order fractions

      • Find equivalent fractions using area models (4-U.1)
      • Graph equivalent fractions on number lines (4-U.4)
      • Equivalent fractions (4-U.5)
      • Patterns of equivalent fractions (4-U.7)
      • Write fractions in lowest terms (4-U.8)
      • Compare fractions with like numerators or denominators using models (4-V.2)
      • Compare fractions using models (4-V.3)
      • Graph and compare fractions with like numerators or denominators on number lines (4-V.5)
      • Compare fractions using ½ as a benchmark (4-V.6)
      • Compare fractions with like numerators or denominators (4-V.9)
      • Compare fractions (4-V.10)
      • Compare fractions with like denominators in recipes (4-V.11)
      • Order fractions with like numerators or denominators (4-V.13)
      • Order fractions (4-V.14)
      • Find smaller or larger fractions (4-V.15)

    • N.1.8.3 model and explain that for different wholes, two identical fractions may not represent the same quantity

    • N.1.8.4 provide examples of where fractions are used.

      • Fractions of time units (4-Q.6)
      • Compare fractions with like denominators in recipes (4-V.11)

  • N.1.9 Describe and represent decimals (tenths and hundredths) concretely, pictorially and symbolically.

    • What decimal number is illustrated? (4-X.1)
    • Model decimals and fractions: up to hundredths (4-X.2)
    • Understanding decimals expressed in words: up to hundredths (4-X.3)
    • Place values in decimal numbers: up to hundredths (4-X.4)
    • Equivalent decimals: up to hundredths (4-X.6)
    • Graph decimals on number lines: up to hundredths (4-X.7)
    • Decimal number lines: up to hundredths (4-X.8)
    • Number sequences involving decimals: up to hundredths (4-X.22)

  • N.1.10 Relate decimals to fractions (to hundredths).

    • Graph fractions as decimals on number lines: up to hundredths (4-X.9)
    • Convert fractions to decimals: up to hundredths (4-X.11)
    • Convert decimals to fractions: up to hundredths (4-X.12)
    • Convert decimals between standard and expanded form using fractions: up to hundredths (4-X.13)
    • Compare decimals and fractions on number lines: up to hundredths (4-X.20)
    • Compare decimals and fractions: up to hundredths (4-X.21)

  • N.1.11 Demonstrate an understanding of addition and subtraction of decimals (limited to hundredths) by:

    • N.1.11.1 using compatible numbers to solve problems.

      • Round decimals: up to hundredths (4-X.14)

    • N.1.11.2 estimating sums and differences to solve problems.

      • Estimate sums and differences of decimals: up to hundredths (4-Z.9)

    • N.1.11.3 using mental math strategies to solve problems.

      • Round decimals: up to hundredths (4-X.14)
      • Solve decimal problems using diagrams: up to tenths (4-Y.10)
      • Add decimal numbers: up to hundredths (4-Z.1)
      • Subtract decimal numbers: up to hundredths (4-Z.2)
      • Add and subtract decimals up to hundredths: word problems (4-Z.3)
      • Choose decimals with a particular sum or difference: up to hundredths (4-Z.4)
      • Add three or more decimals: up to hundredths (4-Z.5)
      • Add three or more decimals up to hundredths: word problems (4-Z.6)
      • Complete the addition or subtraction sentence: up to hundredths (4-Z.7)
      • Inequalities with addition and subtraction: up to hundredths (4-Z.8)

PR Patterns and Relations

• PR.1 Use patterns to describe the world and solve problems.

  • PR.1.1 Identify and describe patterns found in tables and charts, including a multiplication chart.

    • Addition patterns over increasing place values (4-B.16)
    • Subtraction patterns over increasing place values (4-C.14)
    • Multiplication patterns over increasing place values (4-E.20)
    • Division patterns over increasing place values (4-H.19)
    • Complete an increasing number pattern (4-L.9)
    • Complete a geometric number pattern (4-L.10)
    • Number patterns: word problems (4-L.11)
    • Number patterns: mixed review (4-L.12)
    • Input/output tables with addition, subtraction, multiplication and division (4-L.13)
    • Patterns of equivalent fractions (4-U.7)

  • PR.1.2 Reproduce a pattern shown in a table or chart using concrete materials.

  • PR.1.3 Represent and describe patterns and relationships using charts and tables to solve problems.

    • Addition patterns over increasing place values (4-B.16)
    • Subtraction patterns over increasing place values (4-C.14)
    • Multiplication patterns over increasing place values (4-E.20)
    • Division patterns over increasing place values (4-H.19)
    • Input/output tables with addition, subtraction, multiplication and division (4-L.13)
    • Patterns of equivalent fractions (4-U.7)

  • PR.1.4 Identify and explain mathematical relationships using charts and diagrams to solve problems.

• PR.2 Represent algebraic expressions in multiple ways.

  • PR.2.5 Express a given problem as an equation in which a symbol is used to represent an unknown number.

    • Write variable equations to represent word problems (4-J.4)

  • PR.2.6 Solve one-step equations involving a symbol to represent an unknown number.

    • Solve variable equations (4-J.7)

SS Shape and Space

• SS.1 Use direct or indirect measurement to solve problems.

  • SS.1.1 Read and record time using digital and analog clocks, including 24-hour clocks.

    • Elapsed time (4-Q.7)
    • Find start and end times: multi-step word problems (4-Q.8)
    • Convert between 12-hour and 24-hour time (4-Q.9)
    • Time zones - 12-hour time (4-Q.10)
    • Time zones - 24-hour time (4-Q.11)
    • Transportation schedules - 12-hour time (4-Q.12)
    • Transportation schedules - 24-hour time (4-Q.13)
    • Time patterns (4-Q.14)

  • SS.1.2 Read and record calendar dates in a variety of formats.

    • Read a calendar (3-S.8)

  • SS.1.3 Demonstrate an understanding of area of regular and irregular 2-D shapes by:

    • SS.1.3.1 recognizing that area is measured in square units

      • Find the area of figures made of unit squares (4-S.4)
      • Create figures with a given area (4-S.9)

    • SS.1.3.2 selecting and justifying referents for the units cm² or m²

    • SS.1.3.3 estimating area by using referents for cm² or m²

    • SS.1.3.4 determining and recording area (cm² or m²)

      • Find the area of figures made of unit squares (4-S.4)
      • Select figures with a given area (4-S.5)
      • Select two figures with the same area (4-S.6)
      • Create figures with a given area (4-S.9)
      • Find the area or missing side length of a rectangle (4-S.11)

    • SS.1.3.5 constructing different rectangles for a given area (cm² or m²) in order to demonstrate that many different rectangles may have the same area.

      • Create figures with a given area (4-S.9)

• SS.2 Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

  • SS.2.4 Describe and construct rectangular and triangular prisms.

    • Number of sides in polygons (4-R.8)

• SS.3 Describe and analyze position and motion of objects and shapes.

  • SS.3.5 Demonstrate an understanding of line symmetry by:

    • SS.3.5.1 identifying symmetrical 2-D shapes

      • Identify lines of symmetry (4-R.26)
      • Rotational symmetry (4-R.29)

    • SS.3.5.2 creating symmetrical 2-D shapes

    • SS.3.5.3 drawing one or more lines of symmetry in a 2-D shape.

      • Identify lines of symmetry (4-R.26)

SP Statistics and Probability

• SP.1 Collect, display and analyze data to solve problems.

  • SP.1.1 Demonstrate an understanding of many-to-one correspondence.

  • SP.1.2 Construct and interpret pictographs and bar graphs involving many-to-one correspondence to draw conclusions.

    • Interpret bar graphs (4-N.6)
    • Create bar graphs (4-N.8)