New Brunswick

N Number

• N.1 Develop number sense.

  • N.1.1 Demonstrate an understanding of place value for numbers:

    • N.1.1.1 greater than one million

      • Place values in whole numbers up to 1 million (6-A.1)

    • N.1.1.2 less than one thousandth.

      • Decimal place values (6-B.2)

  • N.1.2 Solve problems involving large numbers, using technology.

    • Add and subtract whole numbers: word problems (6-D.2)

  • N.1.3 Demonstrate an understanding of factors and multiples by:

    • N.1.3.1 determining multiples and factors of numbers less than 100

      • Identify factors (6-I.2)
      • Prime factorization (6-I.3)
      • Greatest common factor (6-I.5)
      • Least common multiple (6-I.6)
      • GCF and LCM: word problems (6-I.7)

    • N.1.3.2 identifying prime and composite numbers

      • Prime or composite (6-I.1)

    • N.1.3.3 solving problems involving multiples.

      • Least common multiple (6-I.6)
      • GCF and LCM: word problems (6-I.7)

  • N.1.4 Relate improper fractions to mixed numbers.

    • Convert between improper fractions and mixed numbers (6-J.13)

  • N.1.5 Demonstrate an understanding of ratio, concretely, pictorially and symbolically.

    • Write a ratio (6-P.1)
    • Write a ratio: word problems (6-P.3)
    • Identify equivalent ratios (6-P.5)
    • Write an equivalent ratio (6-P.6)
    • Ratio tables (6-P.7)

  • N.1.6 Demonstrate an understanding of percent, (limited to whole numbers) concretely, pictorially and symbolically.

    • What percentage is illustrated? (6-Q.1)
    • Convert between percents, fractions and decimals (6-Q.4)
    • Compare percents to each other and to fractions (6-Q.6)
    • Compare percents and fractions: word problems (6-Q.7)
    • Percents of numbers and money amounts (6-Q.11)
    • Percents of numbers: word problems (6-Q.12)
    • Find what percent one number is of another (6-Q.13)
    • Find what percent one number is of another: word problems (6-Q.14)
    • Sale prices (6-T.1)
    • Which is the better coupon? (6-T.2)
    • Percents - calculate tax, tip, mark-up and more (6-T.5)

  • N.1.7 Demonstrate an understanding of integers, concretely, pictorially and symbolically.

    • Understanding integers (6-C.1)
    • Integers on number lines (6-C.2)
    • Compare and order integers (6-C.4)

  • N.1.8 Demonstrate an understanding of multiplication and division of decimals (1-digit whole number multipliers and 1-digit natural number divisors).

    • Multiply a decimal up to tenths by a whole number (6-G.5)
    • Divide decimals by whole numbers (6-G.18)
    • Divide decimals by whole numbers: word problems (6-G.19)

  • N.1.9 Explain and apply the order of operations, excluding exponents, with and without technology (limited to whole numbers).

    • Evaluate numerical expressions (5-V.4)

PR Patterns and Relations

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

  • PR.1.1 Demonstrate an understanding of the relationships within tables of values to solve problems.

    • Ratio tables (6-P.7)
    • Complete a table for a two-variable relationship (6-Z.4)
    • Write a two-variable equation (6-Z.5)

  • PR.1.2 Represent and describe patterns and relationships using graphs and tables.

    • Complete a table for a two-variable relationship (6-Z.4)
    • Write a two-variable equation (6-Z.5)
    • Identify the graph of an equation (6-Z.6)

• PR.2 Represent algebraic expressions in multiple ways.

  • PR.2.3 Represent generalizations arising from number relationships using equations with letter variables.

    • Simple interest (6-T.7)
    • Write variable expressions: word problems (6-W.2)

  • PR.2.4 Demonstrate and explain the meaning of preservation of equality concretely, pictorially and symbolically.

    • Solve one-step equations with whole numbers (6-X.6)
    • Solve one-step equations with decimals (6-X.7)

SS Shape and Space

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

  • SS.1.1 Demonstrate an understanding of angles by:

    • SS.1.1.1 identifying examples of angles in the environment

    • SS.1.1.2 classifying angles according to their measure

      • Measure angles with a protractor (6-AA.2)

    • SS.1.1.3 estimating the measure of angles using 45°, 90° and 180° as reference angles

      • Estimate angle measurements (6-AA.6)

    • SS.1.1.4 determining angle measures in degrees

      • Measure angles with a protractor (6-AA.2)

    • SS.1.1.5 drawing and labelling angles when the measure is specified.

  • SS.1.2 Demonstrate that the sum of interior angles is:

    • SS.1.2.1 180° in a triangle

      • Find missing angles in triangles and quadrilaterals (6-AA.12)

    • SS.1.2.2 360° in a quadrilateral.

      • Find missing angles in triangles and quadrilaterals (6-AA.12)

  • SS.1.3 Develop and apply a formula for determining the:

    • SS.1.3.1 perimeter of polygons

      • Perimeter (6-DD.1)
      • Area and perimeter of figures on grids (6-DD.13)
      • Area and perimeter: word problems (6-DD.14)
      • Rectangles: relationship between perimeter and area (6-DD.15)
      • Compare area and perimeter of two figures (6-DD.16)

    • SS.1.3.2 area of rectangles

      • Area of squares and rectangles (6-DD.3)
      • Area between two rectangles (6-DD.12)
      • Area and perimeter: word problems (6-DD.14)
      • Rectangles: relationship between perimeter and area (6-DD.15)
      • Compare area and perimeter of two figures (6-DD.16)
      • Area with mixed numbers (7-BB.5)

    • SS.1.3.3 volume of right rectangular prisms.

      • Volume of cubes and rectangular prisms (6-DD.22)

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

  • SS.2.4 Construct and compare triangles, including:

    • SS.2.4.1 scalene, in different orientations.

      • Classify triangles (6-AA.7)

    • SS.2.4.2 isosceles, in different orientations.

      • Classify triangles (6-AA.7)

    • SS.2.4.3 equilateral, in different orientations.

      • Classify triangles (6-AA.7)

    • SS.2.4.4 right, in different orientations.

      • Classify triangles (6-AA.7)

    • SS.2.4.5 obtuse, in different orientations.

      • Classify triangles (6-AA.7)

    • SS.2.4.6 acute, in different orientations.

      • Classify triangles (6-AA.7)

  • SS.2.5 Describe and compare the sides and angles of regular and irregular polygons.

    • Classify quadrilaterals (6-AA.9)
    • Find missing angles in triangles and quadrilaterals (6-AA.12)
    • Sums of angles in polygons (6-AA.14)

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

  • SS.3.6 Perform a combination of translation(s), rotation(s) and/or reflection(s) on a single 2-D shape, with and without technology, and draw and describe the image.

    • Reflection, rotation and translation (6-BB.2)

  • SS.3.7 Perform a combination of successive transformations of 2-D shapes to create a design, and identify and describe the transformations.

  • SS.3.8 Identify and plot points in the first quadrant of a Cartesian plane using whole number ordered pairs.

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

  • SS.3.9 Perform and describe single transformations of a 2-D shape in the first quadrant of a Cartesian plane (limited to whole number vertices).

    • Reflection, rotation and translation (6-BB.2)

SP Statistics and Probability

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

  • SP.1.1 Create, label and interpret line graphs to draw conclusions.

    • Interpret line graphs (6-EE.16)
    • Create line graphs (6-EE.17)
    • Interpret double line graphs (6-EE.18)
    • Create double line graphs (6-EE.19)

  • SP.1.2 Select, justify and use appropriate methods of collecting data, including:

    • SP.1.2.1 questionnaires

    • SP.1.2.2 experiments

    • SP.1.2.3 databases

    • SP.1.2.4 electronic media.

  • SP.1.3 Graph collected data and analyze the graph to solve problems.

    • Interpret pictographs (6-EE.1)
    • Create pictographs (6-EE.2)
    • Interpret line plots (6-EE.5)
    • Create line plots (6-EE.6)
    • Create frequency tables (6-EE.7)
    • Interpret bar graphs (6-EE.9)
    • Create bar graphs (6-EE.10)
    • Interpret double bar graphs (6-EE.11)
    • Create double bar graphs (6-EE.12)
    • Interpret line graphs (6-EE.16)
    • Create line graphs (6-EE.17)
    • Interpret double line graphs (6-EE.18)
    • Create double line graphs (6-EE.19)

• SP.2 Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

  • SP.2.4 Demonstrate an understanding of probability by:

    • SP.2.4.1 identifying all possible outcomes of a probability experiment

      • Combinations (6-GG.1)
      • Compound events: find the number of outcomes (6-GG.8)

    • SP.2.4.2 differentiating between experimental and theoretical probability

    • SP.2.4.3 determining the theoretical probability of outcomes in a probability experiment

      • Probability of one event (6-GG.3)
      • Probability of opposite, mutually exclusive and overlapping events (6-GG.4)

    • SP.2.4.4 determining the experimental probability of outcomes in a probability experiment

    • SP.2.4.5 comparing experimental results with the theoretical probability for an experiment.