Nova Scotia

5.A Students will demonstrate number sense and apply number theory concepts.

• 5.A1 represent whole numbers to the millions

  • Word names for numbers up to 100 000 (5-A.7)

• 5.A2 interpret and model decimal tenths, hundredths, and thousandths

  • What decimal number is illustrated? (5-G.1)

• 5.A3 interpret, model, and rename fractions

  • Show fractions: fraction bars (5-N.1)
  • Show fractions: area models (5-N.2)
  • Identify fractions (5-N.3)
  • Find equivalent fractions using area models (5-O.1)
  • Equivalent fractions (5-O.3)
  • Write fractions in lowest terms (5-O.5)

• 5.A4 demonstrate an understanding of the relationship between fractions and division

  • Fractions of a whole: word problems (5-N.4)
  • Fractions of a group: word problems (5-N.5)
  • Fractions of a number (5-S.16)
  • Fractions of a number: word problems (5-S.17)

• 5.A5 explore the concepts of ratio and rate informally

  • Write a ratio (6-P.1)
  • Write a ratio: word problems (6-P.3)
  • Equivalent rates (6-P.10)

• 5.A6 read and represent numbers to millions

  • Place value up to 1 000 000 (5-A.4)
  • Convert between place values (5-A.6)
  • Word names for numbers up to 100 000 (5-A.7)

• 5.A7 read and represent decimals to thousandths

  • What decimal number is illustrated? (5-G.1)
  • Understanding decimals expressed in words: up to thousandths (5-H.1)
  • Place values in decimal numbers up to thousandths (5-H.2)

• 5.A8 compare and order large numbers

  • Compare numbers up to 1 000 000 (5-A.13)

• 5.A9 compare and order decimals

  • Compare decimals on number lines (5-G.10)
  • Compare decimal numbers up to thousandths (5-H.7)
  • Put decimals in order: up to thousandths (5-H.8)

• 5.A10 compare and order fractions using conceptual methods

  • Graph and compare fractions on number lines (5-P.1)
  • Compare fractions (5-P.4)
  • Order fractions with like denominators (5-P.6)
  • Order fractions with like numerators (5-P.7)
  • Order fractions review (5-P.9)

• 5.A11 recognize and find factors of numbers

  • Choose numbers with a particular product (5-C.10)
  • Choose numbers with a particular quotient (5-D.11)
  • Prime factorization (5-F.2)
  • Divisibility rules (5-F.3)
  • Divisibility rules: word problems (5-F.4)
  • Greatest common factor (5-F.5)
  • Least common multiple (5-F.6)

5.B Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

• 5.B1 find sums and differences involving decimals to thousandths

  • Add and subtract decimals up to hundredths: word problems (5-I.5)
  • Add and subtract decimal numbers up to thousandths (5-J.3)
  • Choose decimals with a particular sum or difference: up to thousandths (5-J.5)
  • Complete the decimal addition or subtraction sentence: up to thousandths (5-J.6)
  • Inequalities with decimal addition and subtraction: up to thousandths (5-J.7)

• 5.B2 multiply 2-, 3-, and 4-digit numbers by 1-digit numbers

  • Multiply by 1-digit numbers (5-C.3)
  • Multiply by 1-digit numbers: word problems (5-C.4)

• 5.B3 find the product of two 2-digit numbers

  • Multiply 2-digit numbers by 2-digit numbers: complete the missing steps (5-C.15)
  • Multiply 2-digit numbers by 2-digit numbers (5-C.16)
  • Multiply 2-digit numbers by 2-digit numbers: word problems (5-C.17)

• 5.B4 divide 2-, 3-, and 4-digit numbers by single-digit divisors and investigate division by 2-digit divisors

  • Division facts to 12 (5-D.3)
  • Division facts to 12: word problems (5-D.4)
  • Divide by 1-digit numbers (5-D.5)
  • Divide by 1-digit numbers: word problems (5-D.6)
  • Divide by 1-digit numbers: interpret remainders (5-D.7)

• 5.B5 find simple products of whole numbers and decimals

  • Multiply a decimal by a 1-digit whole number (5-K.7)
  • Multiply decimals and whole numbers: word problems (5-K.10)
  • Inequalities with decimal multiplication (5-K.15)
  • Multiply money amounts with decimals: word problems (5-M.6)

• 5.B6 divide decimal numbers by single-digit whole numbers

  • Divide money amounts with decimals: word problems (5-M.8)

• 5.B7 determine whether an open sentence is always, sometimes, or never true

• 5.B8 solve and create addition and subtraction problems involving whole number and/or decimals

  • Add and subtract whole numbers up to 1 000 000: word problems (5-B.4)
  • Add and subtract decimals up to hundredths: word problems (5-I.5)
  • Add and subtract money amounts (5-M.1)
  • Add and subtract money: word problems (5-M.2)

• 5.B9 solve and create multiplication and division problems involving whole numbers and/or decimals

  • Multiply by 1-digit numbers: word problems (5-C.4)
  • Multiply numbers ending in zeroes: word problems (5-C.7)
  • Multiply 2-digit numbers by 2-digit numbers: word problems (5-C.17)
  • Multiply three or four numbers: word problems (5-C.19)
  • Multiply 3-digit numbers by 2-digit numbers: word problems (5-C.23)
  • Division facts to 12: word problems (5-D.4)
  • Divide by 1-digit numbers: word problems (5-D.6)
  • Divide numbers ending in zeroes: word problems (5-D.10)
  • Divide 4-digit numbers by 2-digit numbers: word problems (5-D.20)
  • Multiply decimals and whole numbers: word problems (5-K.10)
  • Multiply money amounts with decimals: word problems (5-M.6)
  • Divide money amounts with decimals: word problems (5-M.8)
  • Multi-step word problems (5-W.3)
  • Word problems with extra or missing information (5-W.5)

• 5.B10 estimate sums and differences involving decimals to thousandths

  • Estimate sums and differences of decimals using rounding: up to thousandths (5-J.8)

• 5.B11 estimate products and quotients of two whole numbers

  • Estimate products (5-C.11)
  • Estimate products: word problems (5-C.12)
  • Estimate quotients (5-D.12)
  • Estimate quotients: word problems (5-D.13)

• 5.B12 estimate products and quotients of decimals by single-digit whole numbers

  • Estimate products of decimals (5-K.1)

• 5.B13 perform appropriate mental multiplications with facility

  • Multiply by 1-digit numbers (5-C.3)
  • Multiply numbers ending in zeroes (5-C.6)
  • Multiply a decimal by a power of ten (5-K.2)

• 5.B14 divide numbers mentally when appropriate

  • Division facts to 12 (5-D.3)
  • Divide by powers of ten (5-L.1)

• 5.B15 multiply whole numbers mentally by 0.1, 0.01, 0.001

  • Multiply a decimal by a power of ten (5-K.2)

5.C Students will explore, recognize, represent, and apply patterns and relationships, both informally and formally.

• 5.C1 use place value patterns to extend understanding of the representation of numbers to millions

  • Place value up to 1 000 000 (5-A.4)
  • Convert between place values (5-A.6)

• 5.C2 recognize and explain the patterns in dividing by 10, 100, and 1000 and/or in multiplying by 0.1, 0.01, 0.001

  • Divide by powers of ten (5-L.1)

• 5.C3 solve problems using patterns

  • Even or odd: arithmetic rules (5-A.18)
  • Multiplication patterns over increasing place values (5-C.5)
  • Division patterns over increasing place values (5-D.8)
  • Decimal division patterns over increasing place values (5-L.2)
  • Patterns of equivalent fractions (5-O.4)
  • Use a rule to complete a number sequence (5-Z.5)
  • Complete an increasing number sequence (5-Z.8)
  • Complete a geometric number sequence (5-Z.9)
  • Number sequences: word problems (5-Z.10)
  • Number sequences: mixed review (5-Z.11)
  • Time patterns (5-HH.10)

• 5.C4 rearrange factors to make multiplication simpler

  • Multiply three or four numbers (5-C.18)

• 5.C5 recognize and explain how a change in one factor affects a product or quotient

• 5.C6 predict how a change in unit affects an SI measurement

  • Which metric unit of length is appropriate? (5-II.1)
  • Compare and convert metric units of length (5-II.2)
  • Compare and convert metric units of mass (5-II.4)
  • Compare and convert metric units of capacity (5-II.6)

• 5.C7 manipulate the dimensions of a rectangle so that the area remains the same

• 5.C8 demonstrate an understanding that the multiplicative relationship between numerators and denominators is constant for equivalent fractions

  • Find equivalent fractions using area models (5-O.1)
  • Graph equivalent fractions on number lines (5-O.2)
  • Equivalent fractions (5-O.3)
  • Patterns of equivalent fractions (5-O.4)

• 5.C9 represent measurement relationships using tables and two-dimensional graphs

5.D Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

• 5.D1 solve simple problems involving the perimeters of polygons

  • Perimeter with whole number side lengths (5-NN.1)
  • Perimeter with decimal side lengths (5-NN.2)
  • Area of figures on grids (5-NN.9)

• 5.D2 calculate areas of irregular shapes

  • Area of figures on grids (5-NN.9)

• 5.D3 determine the measures of right angles, acute angles, and obtuse angles

  • Types of angles (5-JJ.6)
  • Measure angles with a protractor (5-JJ.8)

• 5.D4 demonstrate an understanding of the relationships among particular SI units

  • Compare and convert metric units of length (5-II.2)
  • Compare and convert metric units of mass (5-II.4)
  • Compare and convert metric units of capacity (5-II.6)

• 5.D5 develop formulas for areas and perimeters of squares and rectangles

  • Perimeter with whole number side lengths (5-NN.1)
  • Perimeter with decimal side lengths (5-NN.2)
  • Area of squares and rectangles (5-NN.4)

• 5.D6 solve simple problems involving volume and capacity

  • Volume of rectangular prisms made of unit cubes (5-NN.13)
  • Volume of irregular figures made of unit cubes (5-NN.14)
  • Volume of cubes and rectangular prisms (5-NN.15)

• 5.D7 estimate angle size in degrees

  • Estimate angle measurements (6-AA.6)

• 5.D8 determine which unit is appropriate in a given situation and solve problems involving length and area

  • Which metric unit of length is appropriate? (5-II.1)

5.E Students will demonstrate spatial sense and apply geometric concepts, properties, and relationships.

• 5.E1 draw a variety of nets for different prisms and pyramids

  • Nets of three-dimensional figures (5-MM.4)

• 5.E2 identify, describe, and represent the various cross-sections of cubes and rectangular prisms

  • Three-dimensional figures viewed from different perspectives (5-MM.5)

• 5.E3 make and interpret isometric drawings of shapes made from cubes

• 5.E4 explore relationships between area and perimeter of squares and rectangles

  • Perimeter with whole number side lengths (5-NN.1)
  • Perimeter with decimal side lengths (5-NN.2)
  • Area of squares and rectangles (5-NN.4)
  • Area of figures on grids (5-NN.9)
  • Use area and perimeter to determine cost (5-NN.11)

• 5.E5 predict and construct figures made by combining two triangles

• 5.E6 recognize, name, describe, and represent perpendicular lines/segments, bisectors of angles and segments, and perpendicular-bisectors of segments

  • Parallel, perpendicular and intersecting lines (5-JJ.5)

• 5.E7 recognize, name, describe, and construct right, obtuse, and acute triangles

  • Classify triangles (5-KK.3)

• 5.E8 make generalizations about the diagonal properties of squares and rectangles and apply these properties

• 5.E9 make generalizations about the properties of translations and reflections and apply these properties

  • Lines of symmetry (5-LL.1)
  • Reflection, rotation and translation (5-LL.3)

• 5.E10 explore rotations of one-quarter, one-half, and three-quarter turns using a variety of centres

  • Rotational symmetry (5-LL.2)
  • Reflection, rotation and translation (5-LL.3)

• 5.E11 make generalizations about the rotational symmetry property of squares and rectangles and apply them

  • Rotational symmetry (5-LL.2)

• 5.E12 recognize, name, and represent figures that tessellate

• 5.E13 explore how figures can be dissected and transformed into other figures

5.F Students will solve problems involving the collection, display, and analysis of data.

• 5.F1 use double bar graphs to display data

  • Create double bar graphs (6-EE.12)

• 5.F2 use pictographs and bar graphs to display and interpret data

  • Interpret bar graphs (5-FF.4)
  • Complete bar graphs (5-FF.6)
  • Interpret pictographs (5-FF.9)
  • Create pictographs (5-FF.10)

• 5.F3 use coordinate graphs to display data

  • Objects on a coordinate plane (5-AA.2)
  • Graph points on a coordinate plane (5-AA.3)
  • Coordinate planes as maps (5-AA.7)

• 5.F4 create and interpret line graphs

  • Interpret line graphs (5-FF.2)
  • Create line graphs (5-FF.3)

• 5.F5 group data appropriately and use stem-and-leaf plots to describe the data

  • Interpret stem-and-leaf plots (5-FF.17)

• 5.F6 recognize and explain the effect of certain changes in data on the mean of that data

• 5.F7 explore relevant issues for which data collection assists in reaching conclusions

  • Read a table (5-FF.1)
  • Interpret line plots (5-FF.11)
  • Create line plots (5-FF.12)
  • Interpret frequency charts: one-step problems (5-FF.13)
  • Circle graphs (5-FF.19)
  • Calculate mean, median and mode (5-GG.9)
  • Mean, median and mode: find the missing number (5-GG.10)
  • Interpret charts to find mean, median and mode (5-GG.11)

5.G Students will represent and solve problems involving uncertainty

• 5.G1 conduct simple experiments to determine probabilities

  • Find the probability (5-GG.2)
  • Make predictions (5-GG.3)

• 5.G2 determine simple theoretical probabilities and use fractions to describe them

  • Find the probability (5-GG.2)