Gizmos for Newfoundland and Labrador - Mathematics: 7th Grade (NL--Newfoundland and Labrador Curriculum adopted 2015)

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.

1: : Patterns and Relations

1.7PR: : Patterns and Relations

1.7PR2: : Create a table of values from a linear relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.

1.7PR2.1: : Create a table of values for a given linear relation by substituting values for the variable.

1.7PR2.2: : Create a table of values, using a linear relation, and graph the table of values (limited to discrete elements).

1.7PR2.5: : Match a given set of linear relations to a given set of graphs.

1.7PR2.6: : Match a given set of graphs to a given set of linear relations.

1.7PR4: : Explain the difference between an expression and an equation.

1.7PR4.1: : Explain what a variable is and how it is used in a given expression.

1.7PR4.2: : Identify and provide an example of a constant term, numerical coefficient and variable in an expression and an equation.

1.7PR4.3: : Provide an example of an expression and an equation, and explain how they are similar and different.

1.7PR4.4: : Represent a given oral or written pattern using an algebraic expression.

1.7PR4.5: : Represent a given oral or written pattern using an equation.

1.7PR5: : Evaluate an expression, given the value of the variable(s).

1.7PR7: : Model and solve, concretely, pictorially and symbolically, problems that can be represented by linear equations of the form:

1.7PR7.a: : ax + b = c

1.7PR7.b: : ax - b = c

1.7PR7.c: : ax = b

1.7PR7.d: : x/a = b, a ≠ 0 where a, b and c are whole numbers.

1.7PR7.1: : Model a given problem with a linear equation and solve the equation, using concrete models, e.g., counters, integer tiles.

2: : Integers

2.7N: : Number

2.7N6: : Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.

2.7N6.1: : Explain, using concrete materials such as integer tiles and diagrams, that the sum of opposite integers is zero.

2.7N6.2: : Solve a given problem involving the addition and subtraction of integers.

2.7N6.3: : Add two given integers, using concrete materials or pictorial representations, and record the process symbolically.

2.7N6.4: : Illustrate, using a number line, the results of adding negative and positive integers.

2.7N6.5: : Subtract two given integers, using concrete materials or pictorial representations, and record the process symbolically.

2.7N6.6: : Illustrate, using a number line, the results of subtracting negative and positive integers.

3: : Fractions, Decimals, and Percents

3.7N: : Number

3.7N2: : 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, the use of technology is expected).

3.7N2.1: : Solve a given problem involving the addition of two or more decimal numbers.

3.7N2.2: : Solve a given problem involving the subtraction of decimal numbers.

3.7N2.4: : Solve a given problem involving the multiplication of decimal numbers with two digit multipliers (whole numbers or decimals) without the use of technology.

3.7N2.6: : Solve a given problem involving the multiplication or division of decimal numbers with more than 2-digit multipliers or more than 1-digit divisors (whole numbers or decimals) with the use of technology.

3.7N2.8: : Check the reasonableness of solutions using estimation.

3.7N3: : Solve problems involving percents from 1% to 100%.

3.7N3.1: : Express a given percent as a decimal or fraction.

3.7N3.2: : Solve a given problem that involves finding a percent.

3.7N4: : Demonstrate an understanding of the relationship between positive terminating decimals and positive fractions and between positive repeating decimals and positive fractions.

3.7N4.2: : Match a given set of fractions to their decimal representations.

3.7N7: : Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using:

3.7N7.b: : place value

3.7N7.c: : equivalent fractions and/or decimals.

3.7N7.1: : Order the numbers of a given set that includes positive fractions, positive decimals and/or whole numbers in ascending or descending order, and verify the result using a variety of strategies.

3.7N7.2: : Position fractions with like and unlike denominators from a given set on a number line, and explain strategies used to determine order.

3.7N7.5: : Identify a number that would be between two given numbers in an ordered sequence or on a number line.

4: : Circles and Area

4.7SS: : Shape and Space (Measurement)

4.7SS1: : Demonstrate an understanding of circles by:

4.7SS1.a: : describing the relationships among radius, diameter and circumference

4.7SS1.b: : relating circumference to pi

4.7SS1.c: : determining the sum of the central angles

4.7SS1.e: : solving problems involving the radii, diameters and circumferences of circles.

4.7SS1.4: : Explain that, for all circles, pi is the ratio of the circumference to the diameter (C/d) and its value is approximately 3.14.

4.7SS1.6: : Explain, using an illustration, that the sum of the central angles of a circle is 360°.

4.7SS2: : Develop and apply a formula for determining the area of:

4.7SS2.a: : triangles

4.7SS2.b: : parallelograms

4.7SS2.c: : circles.

4.7SS2.1: : Illustrate and explain how the area of a rectangle can be used to determine the area of a parallelogram.

4.7SS2.2: : Generalize a rule to create a formula for determining the area of parallelograms.

4.7SS2.3: : Solve a given problem involving the area of triangles, parallelograms and/or circles.

4.7SS2.4: : Illustrate and explain how the area of a rectangle or a parallelogram can be used to determine the area of a triangle.

4.7SS2.5: : Generalize a rule to create a formula for determining the area of triangles.

4.7SS2.7: : Apply a formula for determining the area of a given circle.

4.7SP: : Statistics and Probability (Data Analysis)

4.7SP3: : Construct, label and interpret circle graphs to solve problems.

4.7SP3.2: : Identify common attributes of circle graphs, such as:

4.7SP3.2.a: : title, label or legend

4.7SP3.4: : Interpret a given circle graph to answer questions.

4.7SP3.5: : Create and label a circle graph, with and without technology, to display a given set of data.

5: : Operations with Fractions

5.7N: : Number

5.7N5: : 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).

5.7N5.2: : Determine the sum of two given positive fractions with like denominators.

5.7N5.3: : Simplify a given positive fraction by identifying the common factor between the numerator and denominator.

5.7N5.4: : Determine a common denominator for a given set of positive fractions.

5.7N5.5: : Determine the sum of two given positive fractions with unlike denominators.

5.7N5.6: : Model subtraction of positive fractions, using concrete representations, and record symbolically.

5.7N5.7: : Determine the difference of two given positive fractions.

5.7N5.8: : Model addition and subtraction of mixed numbers, using concrete representations, and record symbolically.

5.7N5.9: : Determine the sum or difference of two mixed numbers.

5.7N5.10: : Simplify the solution to a given problem involving the sum or difference of two positive fractions or mixed numbers.

5.7N5.11: : Solve a given problem involving the addition or subtraction of positive fractions or mixed numbers and determine if the solution is reasonable.

6: : Equations

6.7PR: : Patterns and Relations (Variables and Equations)

6.7PR3: : Demonstrate an understanding of preservation of equality by:

6.7PR3.a: : modelling preservation of equality, concretely, pictorially and symbolically

6.7PR3.b: : applying preservation of equality to solve equations.

6.7PR3.2: : Write equivalent forms of a given equation by applying the preservation of equality, and verify, using concrete materials, e.g., 3b = 12 is the same as 3b + 5 = 12 + 5 or 2r = 7 is the same as 3(2r) = 3(7).

6.7PR3.3: : Solve a given problem by applying preservation of equality.

6.7PR6: : Model and solve, concretely, pictorially and symbolically, problems that can be represented by one-step linear equations of the form x + a = b, where a and b are integers.

6.7PR6.2: : Draw a visual representation of the steps required to solve a given linear equation.

6.7PR6.3: : Solve a given problem using a linear equation.

6.7PR7: : Model and solve, concretely, pictorially and symbolically, problems that can be represented by linear equations of the form:

6.7PR7.a: : ax + b = c

6.7PR7.b: : ax - b = c

6.7PR7.c: : ax = b

6.7PR7.d: : x/a = b, a ≠ 0 where a, b and c are whole numbers.

6.7PR7.1: : Model a given problem with a linear equation and solve the equation using concrete models, e.g., counters, integer tiles.

6.7PR7.4: : Solve a given problem, using a linear equation, and record the process.

6.7PR7.5: : Verify the solution to a given linear equation, using concrete materials and diagrams.

7: : Data Analysis

7.7SP: : Statistics and Probability (Data Analysis)

7.7SP1: : Demonstrate an understanding of central tendency and range by:

7.7SP1.a: : determining the measures of central tendency (mean, median, mode) and range

7.7SP1.b: : determining the most appropriate measures of central tendency to report findings.

7.7SP1.1: : Determine mean, median and mode for a given set of data, and explain why these values may be the same or different.

7.7SP1.2: : Determine the range for a given set of data.

7.7SP1.4: : Solve a given problem involving the measures of central tendency.

7.7SP2: : Determine the effect on the mean, median and mode when an outlier is included in a data set.

7.7SP2.1: : Analyze a given set of data to identify any outliers.

7.7SP2.2: : Explain the effect of outliers on the measures of central tendency for a given data set.

7.7SP2.3: : Identify outliers in a given set of data, and justify whether or not they are to be included in reporting the measures of central tendency.

7.7SP2.4: : Provide examples of situations in which outliers would and would not be used in reporting the measures of central tendency.

7.7SP4: : Express probabilities as ratios, fractions and percents.

7.7SP4.1: : Determine the probability of a given outcome occurring for a given probability experiment, and express it as a ratio, fraction and percent.

7.7SP4.2: : Provide an example of an event with a probability of 0 or 0% (impossible) and an example of an event with a probability of 1 or 100% (certain).

7.7SP5: : Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.

7.7SP5.1: : Provide an example of two independent events, such as:

7.7SP5.1.a: : spinning a four section spinner and rolling an eight-sided die

7.7SP5.1.b: : tossing a coin and rolling a twelve-sided die

7.7SP5.1.c: : tossing two coins

7.7SP5.1.d: : rolling two dice and explain why they are independent.

7.7SP: : Statistics and Probability (Chance and Uncertainty)

7.7SP6: : Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table or other graphic organizer) and experimental probability of two independent events.

7.7SP6.1: : Determine the theoretical probability of a given outcome involving two independent events.

7.7SP6.2: : Conduct a probability experiment for an outcome involving two independent events, with and without technology, to compare the experimental probability with the theoretical probability.

7.7SP6.3: : Solve a given probability problem involving two independent events.

8: : Geometry

8.7SS: : Shape and Space (3-D Objects and 2-D Shapes)

8.7SS3: : Perform geometric constructions, including:

8.7SS3.1: : Identify line segments on a given diagram that are either parallel or perpendicular.

8.7SS3.7: : Draw the perpendicular bisector of a line segment, using more than one method, and verify the construction.

8.7SS3.9: : Draw the bisector of a given angle, using more than one method, and verify that the resulting angles are equal.

8.7SS: : Shape and Space (Transformations)

8.7SS4: : Identify and plot points in the four quadrants of a Cartesian plane, using integral ordered pairs.

8.7SS4.1: : Label the axes of a four quadrant coordinate plane (or Cartesian plane), and identify the origin.

8.7SS4.2: : Identify the location of a given point in any quadrant of a Cartesian plane, using an integral ordered pair.

8.7SS4.3: : Plot the point corresponding to a given integral ordered pair on a Cartesian plane with units of 1, 2, 5 or 10 on its axes.

8.7SS4.4: : Draw shapes and designs in a Cartesian plane, using integral ordered pairs.

8.7SS4.5: : Create shapes and designs, and identify the points used to produce the shapes and designs, in any quadrant of a Cartesian plane.

8.7SS5: : 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).

8.7SS5.1: : Identify the coordinates of the vertices of a given 2-D shape on a Cartesian plane.

8.7SS5.2: : Describe the horizontal and vertical movement required to move from a given point to another point on a Cartesian plane.

Correlation last revised: 9/16/2020

Newfoundland and Labrador - Mathematics: 7th Grade

NL--Newfoundland and Labrador Curriculum | Adopted: 2015