Curriculum Guide

Online Manipulatives

Math Toolkit

## NUMBER OUTCOME 7.1

Demonstrate an understanding of division through the development and application of divisibility strategies for 2, 3, 4, 5, 6, 8, 9, and 10, and through an analysis of division involving zero.

Demonstrate an understanding of division through the development and application of divisibility strategies for 2, 3, 4, 5, 6, 8, 9, and 10, and through an analysis of division involving zero.

## NUMBER OUTCOME 7.2

Expand and demonstrate understanding of the addition, subtraction, multiplication, and division of decimals to greater numbers of decimal places, and the order of operations.

Expand and demonstrate understanding of the addition, subtraction, multiplication, and division of decimals to greater numbers of decimal places, and the order of operations.

## NUMBER OUTCOME 7.3

Demonstrate an understanding of the relationships between positive decimals, positive fractions (including mixed numbers, proper fractions and improper fractions), and whole numbers.

Demonstrate an understanding of the relationships between positive decimals, positive fractions (including mixed numbers, proper fractions and improper fractions), and whole numbers.

## NUMBER OUTCOME 7.4

Expand and demonstrate an understanding of percent to include fractional percentages between 1% and 100%.

Expand and demonstrate an understanding of percent to include fractional percentages between 1% and 100%.

## NUMBER OUTCOME 7.5

Develop and 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).

Develop and 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).

## NUMBER OUTCOME 7.6

Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and symbolically.

Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and symbolically.

## PATTERNS & RELATIONS OUTCOME 7.1

Demonstrate an understanding of the relationships between oral and written patterns, graphs and linear relations.

Demonstrate an understanding of the relationships between oral and written patterns, graphs and linear relations.

• Choral Counting / Counting Collections

## PATTERNS & RELATIONS OUTCOME 7.2

Demonstrate an understanding of equations and expressions

Demonstrate an understanding of equations and expressions by:

• distinguishing between equations and expressions
• evaluating expressions
• verifying solutions to equations.

## PATTERNS & RELATIONS OUTCOME 7.3

Demonstrate an understanding of one- and two-step linear equations of the form ax/b + c = d (where a, b, c, and d are whole numbers, c ≤ d and b ≠ 0) by modeling the solution of the equations concretely, pictorially, physically, and symbolically and explaining the solution in terms of the preservation of equality.

Demonstrate an understanding of one- and two-step linear equations of the form ax/b + c = d (where a, b, c, and d are whole numbers, c ≤ d and b ≠ 0) by modeling the solution of the equations concretely, pictorially, physically, and symbolically and explaining the solution in terms of the preservation of equality.

• Choral Counting / Counting Collections

## PATTERNS & RELATIONS OUTCOME 7.4

Demonstrate an understanding of linear equations of the form (where a and b are integers) by modeling problems as a linear equation and solving the problems concretely, pictorially, and symbolically.

Demonstrate an understanding of linear equations of the form (where a and b are integers) by modeling problems as a linear equation and solving the problems concretely, pictorially, and symbolically.

## SHAPE & SPACE OUTCOME 7.1

Demonstrate an understanding of circles including circumference and central angles.

Demonstrate an understanding of circles including circumference and central angles.

## SHAPE & SPACE OUTCOME 7.2

Develop and apply formulas for determining the area.

Develop and apply formulas for determining the area of:

• triangles
• parallelograms
• circles.

## SHAPE & SPACE OUTCOME 7.3

Demonstrate an understanding of 2-D relationships involving lines and angles.

Demonstrate an understanding of 2-D relationships involving lines and angles.

• Choral Counting / Counting Collections

## SHAPE & SPACE OUTCOME 7.4

Demonstrate an understanding of the Cartesian plane and ordered pairs with integral coordinates.

Demonstrate an understanding of the Cartesian plane and ordered pairs with integral coordinates.

## SHAPE & SPACE OUTCOME 7.5

Expand and demonstrate an understanding of transformations (translations, rotations, and reflections) of 2-D shapes in all four quadrants of the Cartesian plane.

Expand and demonstrate an understanding of transformations (translations, rotations, and reflections) of 2-D shapes in all four quadrants of the Cartesian plane.

## STATISTICS & PROBABILITY OUTCOME 7.1

Demonstrate an understanding of the measures of central tendency and range for sets of data.

Demonstrate an understanding of circles including circumference and central angles.

## STATISTICS & PROBABILITY OUTCOME 7.2

Demonstrate an understanding of circle graphs.

Demonstrate an understanding of circle graphs.

## STATISTICS & PROBABILITY OUTCOME 7.3

Demonstrate an understanding of theoretical and experimental probabilities for two independent events where the combined sample space has 36 or fewer elements.

Demonstrate an understanding of circles including circumference and central angles.