Newfoundland and Labrador

4.N Number

• 4 Develop number sense.

  • 4.N.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)

  • 4.N.2 Compare and order numbers to 10 000.

    • Put numbers in order (4-A.20)

  • 4.N.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:

    • 4.N.3.a 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)

    • 4.N.3.b estimating sums and differences

    • 4.N.3.c 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)

  • 4.N.4 Explain and apply 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)

  • 4.N.5 Describe and apply mental mathematics strategies, such as:

    • 4.N.5.a 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)

    • 4.N.5.b using doubling or halving to determine basic multiplication facts to 9 × 9 and related division facts.

    • 4.N.5.c using doubling or halving and adding or subtracting one more group to determine basic multiplication facts to 9 × 9 and related division facts.

    • 4.N.5.d using patterns in the 9s facts to determine basic multiplication facts to 9 × 9 and related division facts.

    • 4.N.5.e using repeated doubling to determine basic multiplication facts to 9 × 9 and related division facts.

  • 4.N.6 Demonstrate an understanding of multiplication (2- or 3-digit by 1-digit) to solve problems by:

    • 4.N.6.a 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)

    • 4.N.6.b using arrays to represent multiplication

    • 4.N.6.c connecting concrete representations to symbolic representations

    • 4.N.6.d estimating products

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

    • 4.N.6.e applying the distributive property.

  • 4.N.7 Demonstrate an understanding of division (1-digit divisor and up to 2-digit dividend) to solve problems by:

    • 4.N.7.a 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)

    • 4.N.7.b estimating quotients

    • 4.N.7.c relating division to multiplication.

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

  • 4.N.8 Demonstrate an understanding of fractions less than or equal to one by using concrete, pictorial and symbolic representations to:

    • 4.N.8.a 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)

    • 4.N.8.b 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)

    • 4.N.8.c model and explain that for different wholes, two identical fractions may not represent the same quantity

    • 4.N.8.d provide examples of where fractions are used.

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

  • 4.N.9 Represent and describe 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)

  • 4.N.10 Relate decimals to fractions and fractions to decimals (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)

  • 4.N.11 Demonstrate an understanding of addition and subtraction of decimals (limited to hundredths) by:

    • 4.N.11.a using personal strategies to determine sums and differences

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

    • 4.N.11.b estimating sums and differences

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

    • 4.N.11.c using mental mathematics 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)

4.PR Patterns and Relations

• 4 Use patterns to describe the world and to solve problems.

  • 4.PR.1 Identify and describe patterns found in tables and charts, including 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)

  • 4.PR.2 Translate among different representations of a pattern, such as a table, a chart or concrete materials.

  • 4.PR.3 Represent, describe and extend 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)

  • 4.PR.4 Identify and explain mathematical relationships, using charts and diagrams, to solve problems.

• 4 Represent algebraic expressions in multiple ways.

  • 4.PR.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)

  • 4.PR.6 Solve one-step equations involving a symbol to represent an unknown number.

    • Solve variable equations (4-J.7)

4.SS Shape and Space

• 4 Use direct and indirect measurement to solve problems.

  • 4.SS.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)

  • 4.SS.2 Read and record calendar dates in a variety of formats.

    • Read a calendar (3-S.8)

  • 4.SS.3 Demonstrate an understanding of area of regular and irregular 2-D shapes by:

    • 4.SS.3.a 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)

    • 4.SS.3.b selecting and justifying referents for the units cm² or m²

    • 4.SS.3.c estimating area, using referents for cm² or m²

    • 4.SS.3.d 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)

    • 4.SS.3.e 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)

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

  • 4.SS.4 Describe and construct right rectangular and right triangular prisms.

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

• 4 Describe and analyze position and motion of objects and shapes.

  • 4.SS.5 Demonstrate an understanding of line symmetry by:

    • 4.SS.5.a identifying symmetrical 2-D shapes

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

    • 4.SS.5.b creating symmetrical 2-D shapes

    • 4.SS.5.c drawing one or more lines of symmetry in a 2-D shape.

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

  • 4.SS.6 Demonstrate an understanding of congruency, concretely and pictorially.

4.SP Statistics and Probability

• 4 Collect, display and analyze data to solve problems.

  • 4.SP.1 Demonstrate an understanding of many-to-one correspondence.

  • 4.SP.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)