Education and Early Childhood Learning

General Learning Outcome: Develop number sense.

• 7.N.1. Determine and explain why a number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10, and why a number cannot be divided by 0.
  [C, R]

• 7.N.2. Demonstrate an understanding of the addition, subtraction, multiplication, and division of decimals to solve problems (for more than 1-digit divisors or 2-digit multipliers, technology could be used).
  [ME, PS, T]

• 7.N.3. Solve problems involving percents from 1% to 100%.
  [C, CN, ME, PS, R, T]

• 7.N.4. Demonstrate an understanding of the relationship between repeating decimals and fractions, and terminating decimals and fractions.
  [C, CN, R, T]

• 7.N.5. Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially, and symbolically (limited to positive sums and differences).
  [C, CN, ME, PS, R, V]

• 7.N.6. Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and symbolically.
  [C, CN, PS, R, V]

• 7.N.7. Compare and order fractions, decimals (to thousandths), and integers by using

  • benchmarks
  • place value
  • equivalent fractions and/or decimals

  [CN, R, V]

General Learning Outcome: Use patterns to describe the world and solve problems.

• 7.PR.1. Demonstrate an understanding of oral and written patterns and their corresponding relations.
  [C, CN, R]

• 7.PR.2. Construct a table of values from a relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.
  [C, CN, R, V]

---

General Learning Outcome: Represent algebraic expressions in multiple ways.

• 7.PR.3. Demonstrate an understanding of preservation of equality by

  • modelling preservation of equality, concretely, pictorially, and symbolically
  • applying preservation of equality to solve equations

  [C, CN, PS, R, V]

• 7.PR.4. Explain the difference between an expression and an equation.
  [C, CN]

• 7.PR.5. Evaluate an expression given the value of the variable(s).
  [CN, R]

• 7.PR.6. Model and solve problems that can be represented by one-step linear equations of the form x + a = b, concretely, pictorially, and symbolically, where a and b are integers.
  [CN, PS, R, V]

• 7.PR.7. Model and solve problems that can be represented by linear equations of the form

  • $ax+b=c$
  • $ax=b$
  • $\frac{x}{a}=b,a\ne 0$

  concretely, pictorially, and symbolically, where a, b, and c are whole numbers.
  [CN, PS, R, V]

General Learning Outcome: Use direct or indirect measurement to solve problems.

• 7.SS.1. Demonstrate an understanding of circles by

  • describing the relationships among radius, diameter, and circumference of circles
  • relating circumference to pi (π)
  • determining the sum of the central angles
  • constructing circles with a given radius or diameter
  • solving problems involving the radii, diameters, and circumferences of circles

  [C, CN, R, V]

• 7.SS.2. Develop and apply a formula for determining the area of

  • triangles
  • parallelograms
  • circles

  [CN, PS, R, V]

---

General Learning Outcome: Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

• 7.SS.3. Perform geometric constructions, including

  • perpendicular line segments
  • parallel line segments
  • perpendicular bisectors
  • angle bisectors

  [CN, R, V]

---

General Learning Outcome: Describe and analyze position and motion of objects and shapes.

• 7.SS.4. Identify and plot points in the four quadrants of a Cartesian plane using ordered pairs.
  [C, CN, V]

• 7.SS.5. Perform and describe transformations of a 2-D shape in all four-quadrants of a Cartesian plane (limited to integral vertices).
  [C, CN, PS, T, V]

General Learning Outcome: Collect, display, and analyze data to solve problems.

• 7.SP.1. Demonstrate an understanding of central tendency and range by

  • determining the measures of central tendency (mean, median, mode) and range
  • determining the most appropriate measures of central tendency to report findings

  [C, PS, R, T]

• 7.SP.2. Determine the effect on the mean, median, and mode when an outlier is included in a data set.
  [C, CN, PS, R]

• 7.SP.3. Construct, label, and interpret circle graphs to solve problems.
  [C, CN, PS, R, T, V]

---

General Learning Outcome: Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

• 7.SP.4. Express probabilities as ratios, fractions, and percents.
  [C, CN, R, T, V]

• 7.SP.5. Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
  [C, ME, PS]

• 7.SP.6. Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table, or another graphic organizer) and experimental probability of two independent events.
  [C, PS, R, T]