IXL - WNCP grade 7 math curriculum

$IXL$

Practice Reports Awards Provincial Curriculum Membership

WNCP

Skills available for WNCP grade 7 math curriculum

Objectives are in black and IXL math skills are in blue. Hold your mouse over the name of a skill to view a sample problem. Click on the name of a skill to practise that skill.

Document:

2006 WNCP Common Curriculum Frameworks 2006 WNCP Common Curriculum Frameworks

Print curriculum

7 Number

7.1 Develop number sense.
7.1.1 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.
- Number theory: Divisibility rules (Grade 7 - A.4)
7.1.2 Demonstrate an understanding of the addition, subtraction, multiplication and division of decimals (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected) to solve problems.
7.1.3 Solve problems involving percents from 1% to 100%.
7.1.4 Demonstrate an understanding of the relationship between positive repeating decimals and positive fractions, and positive terminating decimals and positive fractions.
- Fractions and mixed numbers: Understanding fractions (Grade 7 - F.3)
- Rational numbers: Convert between decimals and fractions or mixed numbers (Grade 7 - H.2)
7.1.5 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).
7.1.6 Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.
7.1.7 Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using:
7.1.7.1 benchmarks
7.1.7.2 place value
7.1.7.3 equivalent fractions and/or decimals.

7 Patterns and Relations

7.1 Use patterns to describe the world and solve problems.
7.1.1 Demonstrate an understanding of oral and written patterns and their equivalent linear relations.
7.1.2 Create a table of values from a linear relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.
7.2 Represent algebraic expressions in multiple ways.
7.2.3 Demonstrate an understanding of preservation of equality by:
7.2.3.1 modelling preservation of equality, concretely, pictorially and symbolically
- Single-variable equations: Model and solve equations using algebra tiles (Grade 7 - U.2)
7.2.3.2 applying preservation of equality to solve equations.
7.2.4 Explain the difference between an expression and an equation.
7.2.5 Evaluate an expression given the value of the variable(s).
7.2.6 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.
- Single-variable equations: Model and solve equations using algebra tiles (Grade 7 - U.2)
- Single-variable equations: Solve one-step linear equations (Grade 7 - U.3)
7.2.7 Model and solve problems that can be represented by linear equations of the form:
7.2.7.1 ax + b = c
7.2.7.2 ax = b
- Percents: Solve percent equations (Grade 7 - K.7)
- Single-variable equations: Solve one-step linear equations (Grade 7 - U.3)
7.2.7.3 x/a= b, a does not equal 0
7.2.7.4 concretely, pictorially and symbolically, where a, b and c are whole numbers.

7 Shape and Space

7.1 Use direct or indirect measurement to solve problems.
7.1.1 Demonstrate an understanding of circles by:
7.1.1.1 describing the relationships among radius, diameter and circumference of circles
- Geometry: Parts of a circle (Grade 7 - O.21)
- Geometry: Circles: calculate area, circumference, radius and diameter (Grade 7 - O.22)
- Geometry: Circles: word problems (Grade 7 - O.23)
7.1.1.2 relating circumference to pi
- Geometry: Circles: calculate area, circumference, radius and diameter (Grade 7 - O.22)
- Geometry: Circles: word problems (Grade 7 - O.23)
7.1.1.3 determining the sum of the central angles
- Geometry: Find missing angles in triangles and quadrilaterals (Grade 7 - O.9)
- Geometry: Interior angles of polygons (Grade 7 - O.11)
7.1.1.4 constructing circles with a given radius or diameter
7.1.1.5 solving problems involving the radii, diameters and circumferences of circles.
- Geometry: Circles: word problems (Grade 7 - O.23)
7.1.2 Develop and apply a formula for determining the area of:
7.1.2.1 triangles
- Geometry: Area of triangles and trapezoids (Grade 7 - O.19)
7.1.2.2 parallelograms
- Geometry: Area of rectangles and parallelograms (Grade 7 - O.18)
7.1.2.3 circles.
- Geometry: Circles: calculate area, circumference, radius and diameter (Grade 7 - O.22)
- Geometry: Circles: word problems (Grade 7 - O.23)
7.2 Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.
7.2.3 Perform geometric constructions, including:
7.2.3.1 perpendicular line segments
- Geometry: Parallel, perpendicular, intersecting (Grade 7 - O.2)
7.2.3.2 parallel line segments
- Geometry: Parallel, perpendicular, intersecting (Grade 7 - O.2)
7.2.3.3 perpendicular bisectors
- Geometry: Find lengths and measures of bisected lines and angles (Grade 7 - O.24)
7.2.3.4 angle bisectors.
- Geometry: Find lengths and measures of bisected lines and angles (Grade 7 - O.24)
7.3 Describe and analyze position and motion of objects and shapes.
7.3.4 Identify and plot points in the four quadrants of a Cartesian plane using integral ordered pairs.
- Coordinate graphs: Points on coordinate graphs (Grade 7 - Q.1)
- Coordinate graphs: Quadrants and axes (Grade 7 - Q.2)
- Coordinate graphs: Coordinate graphs as maps (Grade 7 - Q.3)
7.3.5 Perform and describe transformations (translations, rotations or reflections) of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral number vertices).
- Transformations: Identify reflections, rotations and translations (Grade 7 - P.1)
- Transformations: Translations: graph the image (Grade 7 - P.2)
- Transformations: Translations: find the coordinates (Grade 7 - P.3)
- Transformations: Reflections: graph the image (Grade 7 - P.4)
- Transformations: Reflections: find the coordinates (Grade 7 - P.5)
- Transformations: Rotations: graph the image (Grade 7 - P.6)
- Transformations: Rotations: find the coordinates (Grade 7 - P.7)
- Transformations: Symmetry (Grade 7 - P.8)

7 Statistics and Probability

7.1 Collect, display and analyze data to solve problems.
7.1.1 Demonstrate an understanding of central tendency and range by:
7.1.1.1 determining the measures of central tendency (mean, median, mode) and range
7.1.1.2 determining the most appropriate measures of central tendency to report findings.
7.1.2 Determine the effect on the mean, median and mode when an outlier is included in a data set.
- Charts and graphs: Interpret box-and-whisker plots (Grade 7 - N.14)
- Statistics: Changes in mean, median, mode and range (Grade 7 - Y.4)
7.1.3 Construct, label and interpret circle graphs to solve problems.
- Charts and graphs: Interpret circle graphs (Grade 7 - N.10)
- Charts and graphs: Circle graphs and central angles (Grade 7 - N.11)
7.2 Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.
7.2.4 Express probabilities as ratios, fractions and percents.
7.2.5 Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
- Probability: Compound events: find the number of outcomes (Grade 7 - X.5)
- Probability: Counting principle (Grade 7 - X.6)
7.2.6 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.