New Brunswick

5.N Number

• Develop number sense

  • 5.N1 Represent and describe whole numbers to 1 000 000.

    • Expanded form up to 100 000 (5-A.1)
    • Expanded form up to 1 000 000 (5-A.2)
    • Place value up to 100 000 (5-A.3)
    • Place value up to 1 000 000 (5-A.4)
    • Relationship between place values (5-A.5)
    • Convert between place values (5-A.6)
    • Word names for numbers up to 100 000 (5-A.7)
    • Word names for numbers up to 1 000 000 (5-A.8)
    • Spell word names for numbers up to 100 000 (5-A.9)
    • Spell word names for numbers up to 1 000 000 (5-A.10)

  • 5.N2 Use estimation strategies including: front-end rounding; compensation; and compatible numbers in problem-solving contexts.

    • Use compensation to add (5-B.10)
    • Estimate sums and differences of whole numbers (5-B.14)
    • Estimate sums and differences: word problems (5-B.15)
    • 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.N3 Apply mental mathematics strategies and number properties, such as: skip counting from a known fact; using doubling or halving; using patterns in the 9s facts; and using repeated doubling or halving to determine answers for basic multiplication facts to 81 and related division facts.

    • Multiplication facts to 10 (5-C.1)
    • Multiplication facts to 12 (5-C.2)
    • Division facts to 10 (5-D.1)
    • Division facts to 10: word problems (5-D.2)
    • Division facts to 12 (5-D.3)
    • Division facts to 12: word problems (5-D.4)

  • 5.N4 Apply mental mathematics strategies for multiplication, such as: annexing then adding zero; halving and doubling; and using the distributive property.

    • Multiplication patterns over increasing place values (5-C.5)
    • Multiply numbers ending in zeroes (5-C.6)
    • Multiply numbers ending in zeroes: word problems (5-C.7)
    • Multiply using properties (5-C.9)

  • 5.N5 Demonstrate an understanding of multiplication (2-digit by 2-digit) to solve problems.

    • Multiply 2-digit numbers by 2-digit numbers using area models I (5-C.13)
    • Multiply 2-digit numbers by 2-digit numbers using area models II (5-C.14)
    • 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.N6 Demonstrate, with and without concrete materials, an understanding of division (3-digit by 1-digit) and interpret remainders to solve problems.

    • 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.N7 Demonstrate an understanding of fractions by using concrete and pictorial representations to: create sets of equivalent fractions and compare fractions with like and unlike denominators.

    • Show fractions: fraction bars (5-N.1)
    • Show fractions: area models (5-N.2)
    • Identify fractions (5-N.3)
    • Fractions of a whole: word problems (5-N.4)
    • Fractions of a group: word problems (5-N.5)
    • Identify fractions on number lines (5-N.6)
    • Graph fractions on number lines (5-N.7)
    • 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)
    • Graph and compare fractions on number lines (5-P.1)
    • Benchmark fractions (5-P.2)
    • Compare fractions using benchmarks (5-P.3)
    • Compare fractions (5-P.4)
    • Compare fractions and mixed numbers (5-P.5)

  • 5.N8 Describe and represent decimals (tenths, hundredths, thousandths) concretely, pictorially and symbolically.

    • Understanding decimals expressed in words: up to thousandths (5-H.1)
    • Place values in decimal numbers up to thousandths (5-H.2)
    • Expanded form of decimals up to thousandths (5-H.4)
    • Equivalent decimals up to thousandths (5-H.5)

  • 5.N9 Relate decimals to fractions (to thousandths).

    • Convert fractions to decimals: up to thousandths (5-H.10)
    • Convert decimals to fractions: up to thousandths (5-H.11)
    • Convert decimals between standard and expanded form using fractions: up to thousandths (5-H.12)
    • Compare decimals and fractions: up to thousandths (5-H.13)
    • Put assorted decimals and fractions in order: up to thousandths (5-H.14)

  • 5.N10 Compare and order decimals (to thousandths) by using: benchmarks; place value; and equivalent decimals.

    • Compare decimal numbers up to thousandths (5-H.7)
    • Put decimals in order: up to thousandths (5-H.8)
    • Compare, order and round decimals: word problems (5-H.9)

  • 5.N11 Demonstrate an understanding of addition and subtraction of decimals (limited to thousandths).

    • Add decimal numbers up to thousandths (5-J.1)
    • Subtract decimal numbers up to thousandths (5-J.2)
    • Add and subtract decimal numbers up to thousandths (5-J.3)
    • Add and subtract decimals up to thousandths: word problems (5-J.4)
    • 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)

5.PR Patterns & Relations

• Use patterns to describe the world and solve problems

  • 5.PR1 Determine the pattern rule to make predictions about subsequent terms (elements).

    • Find the next shape in a repeating pattern (5-Z.1)
    • Complete a repeating pattern (5-Z.2)
    • Make a repeating pattern (5-Z.3)
    • Find the next row in a growing pattern of shapes (5-Z.4)
    • Use a rule to complete a number sequence (5-Z.5)
    • Compare number patterns (5-Z.6)
    • Identify mistakes in number patterns (5-Z.7)

• Represent algebraic expressions in multiple ways

  • 5.PR2 Solve problems involving single-variable, one-step equations with whole number coefficients and whole number solutions.

    • Does x satisfy an equation? (5-CC.1)
    • Which value makes the equation true? (5-CC.2)
    • Write an equation from words (5-CC.3)
    • Model and solve equations using algebra tiles (5-CC.4)
    • Write and solve equations that represent diagrams (5-CC.5)
    • Solve addition and subtraction equations with whole numbers (5-CC.6)
    • Solve multiplication and division equations with whole numbers (5-CC.7)
    • Solve equations with whole numbers (5-CC.8)
    • Write a one-step equation: word problems (5-CC.9)
    • Which word problem matches the one-step equation? (5-CC.10)

5.SS Shape & Space

• Use direct and indirect measurement to solve problems

  • 5.SS1 Design and construct different rectangles given either perimeter or area, or both (whole numbers), and draw conclusions.

    • Rectangles: relationship between perimeter and area (5-NN.12)

  • 5.SS2 Demonstrate an understanding of measuring length (mm and km) by: selecting and justifying referents for the units mm and km; modelling and describing the relationship between mm and cm units, and between mm and m units; and modelling and describing the relationship between m and km units.

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

  • 5.SS3 Demonstrate an understanding of volume by: selecting and justifying referents for cm³ or m³ units; estimating volume by using referents for cm³ or m³; measuring and recording volume (cm³ or m³); and constructing rectangular prisms for a given volume.

    • 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.SS4 Demonstrate an understanding of capacity by: describing the relationship between mL and L; selecting and justifying referents for mL or L units; estimating capacity by using referents for mL or L; and measuring and recording capacity (mL or L).

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

• Describe 3-D objects and 2-D shapes, and analyze the relationships

  • 5.SS5 Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are: parallel; intersecting; perpendicular; and vertical or horizontal.

    • Parallel sides in quadrilaterals (5-KK.4)
    • Count vertices, edges and faces (5-MM.2)
    • Identify faces of three-dimensional figures (5-MM.3)

  • 5.SS6 Identify and sort quadrilaterals, including: rectangles; squares; trapezoids; parallelograms; and rhombuses according to their attributes.

    • Identify parallelograms (5-KK.5)
    • Identify trapezoids (5-KK.6)
    • Identify rectangles (5-KK.7)
    • Identify rhombuses (5-KK.8)
    • Classify quadrilaterals (5-KK.9)
    • Pick all the names for a quadrilateral (5-KK.10)
    • Draw quadrilaterals (5-KK.11)
    • Identify the relationships between quadrilaterals (5-KK.12)
    • Describe relationships among quadrilaterals (5-KK.13)

• Describe and analyze position and motion of objects and shapes

  • 5.SS7 Perform a single transformation (translation, rotation, or reflection) of a 2-D shape (with and without technology) and draw and describe the image.

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

  • 5.SS8 Identify a single transformation, including a translation, rotation, and reflection of 2-D shapes.

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

5.SP Statistics & Probability

• Collect, display and analyze data to solve problems

  • 5.SP1 Differentiate between first-hand and second-hand data.

  • 5.SP2 Construct and interpret double bar graphs to draw conclusions.

    • Interpret double bar graphs (5-FF.7)
    • Complete double bar graphs (5-FF.8)

• Use experimental and theoretical probabilities to solve problems

  • 5.SP3 Describe the likelihood of a single outcome occurring using words, such as: impossible; possible; and certain.

    • Understanding probability (5-GG.1)

  • 5.SP4 Compare the likelihood of two possible outcomes occurring using words, such as: less likely; equally likely; and more likely.

    • Understanding probability (5-GG.1)