Manitoba

4.N Number

• Develop number sense.

  • 4.N.1 Compare and order numbers to 10,000.

    • Place value models (4-A.1)
    • Convert between standard and expanded form (4-A.2)
    • Value of a digit (4-A.3)
    • Relationship between place values (4-A.4)
    • Convert between place values (4-A.5)
    • Identify place value names (4-A.6)
    • Place values review (4-A.7)
    • Word names for numbers (4-A.8)

  • 4.N.2 Compare and order numbers to 1000.

    • Compare numbers (4-A.19)
    • 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), concretely, pictorially, and symbolically, by

    • 4.N.3.a using personal strategies.

    • 4.N.3.b using the standard algorithms.

      • Add numbers up to three digits (4-B.7)
      • Complete the addition sentence: up to three digits (4-B.9)
      • Add numbers up to four digits (4-B.10)
      • Complete the addition sentence: up to four digits (4-B.12)
      • Choose numbers with a particular sum (4-B.17)
      • Subtract numbers up to three digits (4-C.7)
      • Complete the subtraction sentence: up to three digits (4-C.9)
      • Subtract numbers up to four digits (4-C.10)
      • Complete the subtraction sentence: up to four digits (4-C.12)
      • Choose numbers with a particular difference (4-C.15)

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

      • Estimate sums (4-B.18)
      • Estimate sums: word problems (4-B.19)
      • Estimate differences (4-C.16)
      • Estimate differences: word problems (4-C.17)

    • 4.N.3.d solving problems.

      • Add numbers up to three digits: word problems (4-B.8)
      • Add numbers up to four digits: word problems (4-B.11)
      • Subtract numbers up to three digits: word problems (4-C.8)
      • Subtract numbers up to four digits: word problems (4-C.11)
      • Multi-step word problems involving subtraction (4-I.7)

  • 4.N.4 Explain the properties of 0 and 1 for multiplication, and the property of 1 for division.

    • Multiply by 0 (3-F.1)
    • Multiply by 1 (3-F.2)
    • Divide by 1 (3-J.1)

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

    • 4.N.5.a skip-counting from a known fact to develop an understanding of basic multiplication facts to 9 × 9 and related divsion facts.

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

    • 4.N.5.b using halving/doubling to develop an understanding of basic multiplication facts to 9 × 9 and related divsion facts.

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

    • 4.N.5.c using doubling and adding one more group to develop an understanding of basic multiplication facts to 9 × 9 and related divsion facts.

    • 4.N.5.d using patterns in the 9s facts to develop an understanding of basic multiplication facts to 9 × 9 and related divsion facts.

      • Multiply by 9 (3-F.10)
      • Divide by 9 (3-J.9)

    • 4.N.5.e using repeated doubling to develop an understanding of basic multiplication facts to 9 × 9 and related divsion facts.

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

    • 4.N.6.a using personal strategies for multiplication with and without concrete materials.

      • Multiply 1-digit numbers by 2-digit numbers (4-E.11)
      • Multiply 1-digit numbers by 3-digit numbers using expanded form (4-E.15)
      • Multiply 1-digit numbers by 3-digit numbers (4-E.17)

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

      • Identify multiplication expressions for arrays (4-D.5)
      • Write multiplication sentences for arrays (4-D.6)
      • Make arrays to model multiplication (4-D.7)
      • Multiply 1-digit numbers by teen numbers using grids (4-E.8)

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

      • Multiply 1-digit numbers by 2-digit numbers using area models I (4-E.9)
      • Multiply 1-digit numbers by 2-digit numbers using area models II (4-E.10)
      • Multiply 1-digit numbers by 2-digit numbers: word problems (4-E.12)
      • Multiply 1-digit numbers by 3-digit numbers using area models I (4-E.13)
      • Multiply 1-digit numbers by 3-digit numbers using area models II (4-E.14)
      • Distributive property: find the missing factor (4-E.22)
      • Multiply using the distributive property (4-E.23)

    • 4.N.6.d estimating products.

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

  • 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.

      • Divide by counting equal groups (4-G.1)
      • Write division sentences for groups (4-G.2)
      • Write division sentences for arrays (4-G.4)
      • Divide using arrays (4-G.7)
      • Divide using area models (4-G.8)
      • Divide using repeated subtraction (4-G.9)
      • Divide using the distributive property (4-G.10)
      • Divide 2-digit numbers (4-H.3)
      • Divide 2-digit numbers: word problems (4-H.4)
      • Divide 2-digit numbers with remainders (4-H.5)
      • Divide 2-digit numbers and interpret remainders (4-H.6)

    • 4.N.7.b estimating quotients.

      • Estimate quotients using compatible numbers (4-H.14)
      • Estimate quotients: word problems (4-H.16)

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

      • Relate multiplication and division for groups (4-G.3)
      • Relate multiplication and division for arrays (4-G.5)
      • Relate multiplication and division (4-G.6)

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

    • 4.N.8.a name and record fractions for the parts of a whole or a set.

      • Identify halves, thirds and fourths (4-T.1)
      • Make halves, thirds and fourths (4-T.2)
      • Make sixths and eighths (4-T.3)
      • Make halves, thirds, fourths, sixths and eighths (4-T.4)
      • 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: halves, thirds and fourths (4-T.9)
      • Match unit fractions to models (4-T.10)
      • Match fractions to models (4-T.11)
      • Fractions of number lines: unit fractions (4-T.12)
      • Fractions of number lines: halves, fourths and eighths (4-T.13)
      • Fractions of number lines (4-T.14)
      • Identify unit fractions on number lines (4-T.15)
      • Identify fractions on number lines (4-T.16)
      • Graph unit fractions on number lines (4-T.17)
      • Graph fractions on number lines (4-T.18)

    • 4.N.8.b compare and order fractions.

      • Graph smaller or larger fractions on number lines (4-T.19)
      • Compare fractions with like denominators using models (4-V.1)
      • 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 denominators on number lines (4-V.4)
      • 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 using ½ as a benchmark: find the missing numerator (4-V.7)
      • Compare fractions with like denominators (4-V.8)
      • 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 denominators (4-V.12)
      • Order fractions with like numerators or denominators (4-V.13)
      • Order fractions (4-V.14)

    • 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.

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

    • Count coins and bills up to $100 (4-O.1)
    • Understanding decimals expressed in words: up to tenths (4-W.2)
    • Place values in decimal numbers: up to tenths (4-W.3)
    • Graph decimals on number lines: up to tenths (4-W.4)
    • Decimal number lines: up to tenths (4-W.5)
    • What decimal number is illustrated? (4-X.1)
    • 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)

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

    • Model decimals and fractions: up to tenths (4-W.1)
    • Convert fractions to decimals: up to tenths (4-W.7)
    • Convert decimals to fractions: up to tenths (4-W.8)
    • Convert decimals between standard and expanded form using fractions: up to tenths (4-W.9)
    • Model decimals and fractions: up to hundredths (4-X.2)
    • Convert fractions to decimals: denominators of 10 and 100 (4-X.10)
    • 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)

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

    • 4.N.11.a using compatible numbers to solve problems.

      • Add and subtract money amounts (4-O.5)
      • Add and subtract money amounts: word problems (4-O.6)
      • Making change (4-O.7)
      • Find the change, price or amount paid (4-O.8)
      • Add decimal numbers: up to tenths (4-Y.1)
      • Subtract decimal numbers: up to tenths (4-Y.2)
      • Add and subtract decimals up to tenths: word problems (4-Y.3)
      • Add three or more decimals: up to tenths (4-Y.5)
      • Add three or more decimals up to tenths: word problems (4-Y.6)
      • Complete the decimal addition or subtraction sentence: up to tenths (4-Y.7)
      • 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)
      • 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)

    • 4.N.11.b estimating sums and differences to solve problems.

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

    • 4.N.11.c using mental math strategies to solve problems.

      • Choose decimals with a particular sum or difference: up to tenths (4-Y.4)
      • Choose decimals with a particular sum or difference: up to hundredths (4-Z.4)

4.PR Patterns and Relations

• Use patterns to describe the world and solve problems.

  • 4.PR.1 Identify and describe patterns found in tables and charts, including a multplication chart.

    • Addition patterns over increasing place values (4-B.16)
    • Subtraction patterns over increasing place values (4-C.14)
    • Input/output tables with addition, subtraction, multiplication and division (4-L.13)

  • 4.PR.2 Reproduce a pattern shown in a table or chart using concrete materials.

  • 4.PR.3 Represent and describe patterns and relationships using charts and tables to solve problems.

    • Compare number patterns (4-L.8)

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

    • Sort shapes into a Venn diagram (4-K.5)
    • Use Venn diagrams to solve problems (4-K.6)

• Represent algebraic expressions in multiple ways.

  • 4.PR.5 Express a 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 syymbol to represent an unknown number.

    • Solve variable equations: addition and subtraction (4-J.5)
    • Solve variable equations: multiplication and division (4-J.6)
    • Solve variable equations (4-J.7)

4.SS Shape and Space

• Use direct or indirect measurement to solve problems.

  • 4.SS.1 Read and record time using digital and analog clocks, including 24-hour clocks.

    • Match clocks and times (4-Q.1)
    • Match analogue and digital clocks (4-Q.2)
    • Read clocks and write times (4-Q.3)

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

  • 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)
      • Select figures with a given area (4-S.5)
      • Select two figures with the same area (4-S.6)
      • Tile a rectangle and find the area (4-S.7)

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

    • 4.SS.3.c estimating area by usinf referents for cm² or m².

    • 4.SS.3.d determining and recording area (cm² or m²).

      • Multiply to find the area of a rectangle made of unit squares (4-S.8)
      • Find the area or missing side length of a rectangle (4-S.11)
      • Find the areas of complex figures by dividing them into rectangles (4-S.12)
      • Find the areas of complex figures (4-S.13)

    • 4.SS.3.e constructing different rectangles for a given area (cm² or m²) in order to demonstrate that many rectangles have the same area.

      • Create figures with a given area (4-S.9)
      • Create rectangles with a given area (4-S.10)

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

  • 4.SS.4 Solve problems involving 2-D shapes and 3-D objects.

    • Which two-dimensional figure is being described? (4-R.1)

  • 4.SS.5 Describe and construct rectangular and triangular prisms.

    • Identify three-dimensional figures (4-R.2)
    • Which three-dimensional figure is being described? (4-R.5)
    • Nets of three-dimensional figures (4-R.6)

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

  • 4.SS.6 Demonstrate an understanding of line symmetry by

    • 4.SS.6.a identifying symmetrical 2-D shapes.

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

    • 4.SS.6.b creating symmetrical 2-D shapes.

    • 4.SS.6.c drawing one or more lines of symmetry in a 2-D shape.

      • Draw lines of symmetry (4-R.27)
      • Count lines of symmetry (4-R.28)

4.SP Statistics and Probability

• 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 pictographs (4-N.2)
    • Create pictographs (4-N.3)
    • Interpret bar graphs (4-N.6)
    • Create bar graphs (4-N.8)