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  • Alberta Standards
  • Mathematics: Grade 8

Alberta - Mathematics: Grade 8

Alberta Curriculum and Program of Studies | Adopted: 2026

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

1: Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculations.


1.1.1.A.SP4: Compare and order rational numbers.

Screenshot of a math worksheet on rational numbers, opposites, and absolute values using a number line for comparisons.

Rational Numbers, Opposites, and Absolute Values

Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying grids and a number line for comparing and ordering decimal numbers graphically.

Comparing and Ordering Decimals

Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying area grids and a number line for comparing percents, fractions, and decimals greater than 1.

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP5: Determine a rational number between any two given rational numbers.

Screenshot of a math worksheet on rational numbers, opposites, and absolute values using a number line for comparisons.

Rational Numbers, Opposites, and Absolute Values

Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying grids and a number line for comparing and ordering decimal numbers graphically.

Comparing and Ordering Decimals

Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying area grids and a number line for comparing percents, fractions, and decimals greater than 1.

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP6: Investigate fractions that result in repeating decimals.

A computer screen displays a math worksheet on percents, fractions, and decimals with area comparisons.

Percents, Fractions, and Decimals

Compare a quantity represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying area grids and a number line for comparing percents, fractions, and decimals greater than 1.

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP7: Add, subtract, multiply, and divide any two rational numbers.

Computer screen displaying an area model for dividing fractions, with adjustable numerators and denominators.

Dividing Fractions

Divide fractions using area models. Adjust the numerators and denominators of the divisor and dividend and see how the area model and calculation change. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displays a math worksheet on dividing mixed numbers with step-by-step feedback for corrections.

Dividing Mixed Numbers

Choose the correct steps to divide mixed numbers. Use step-by-step feedback to diagnose and correct incorrect steps. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying graphic models for adding and subtracting fractions with unlike denominators.

Fractions with Unlike Denominators

Find the sum or difference of two fractions with unlike denominators using graphic models. Find the least common denominator graphically. 5 Minute Preview


Lesson Info
Launch Gizmo
A math worksheet that shows multiplying mixed numbers with step-by-step feedback for corrections.

Multiplying Mixed Numbers

Choose the correct steps to multiply mixed numbers. Use the step-by-step feedback to diagnose incorrect steps. 5 Minute Preview


Lesson Info
Launch Gizmo
Graphing calculator displaying a dynamic area model for multiplying two decimals on a shaded grid.

Multiplying with Decimals

Multiply two decimals using a dynamic area model. On a grid, shade the region with width equal to one of the decimals and height equal to the other decimal and find the area of the region. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying a number line illustrating sums and differences of decimal numbers using area models.

Sums and Differences with Decimals

Find the sum or difference of two decimal numbers using area models. Find the decimals and their sum or difference on a number line. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying a coordinate system for multiplying fractions using an area model with adjustable vertical and horizontal areas.

Multiplying Fractions

Multiply two fractions using an area model. Vary the vertical area to change one fraction and vary the horizontal area to change the other. Then examine the intersection of the areas to find the product. 5 Minute Preview


Lesson Info
Launch Gizmo
A screen displaying various types of fractions, including proper, improper, and mixed fractions.

Modeling Fractions (Area Models)

Model and compare fractions using area models. Set the denominators with the arrow buttons, and then set the numerators with the arrow buttons or by clicking in the models. Compare fractions visually, on a number line, or numerically using the least common denominator. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying various numbers related to multiplying decimals using an area model.

Multiplying Decimals (Area Model)

Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece (partial product). Add these areas together to find the whole area (product). 5 Minute Preview


Lesson Info
Launch Gizmo
Image of various colored tables focusing on the topic of adding fractions with fraction tiles.

Adding Fractions (Fraction Tiles)

Add fractions with the help of the Fractionator, a fraction-tile-making machine in the Gizmo. Model sums by placing the tiles on side-by-side number lines. Explore the usefulness of common denominators in adding. Express sums as improper fractions or mixed numbers. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP8: Assess the reasonableness of a sum, difference, product, or quotient, using estimation.

Fractions worksheets for kids focusing on estimating sums and differences using area models for comparison.

Estimating Sums and Differences

Estimate the sum or difference of two fractions using area models. Compare estimates to exact sums and differences. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying various numbers related to multiplying decimals using an area model.

Multiplying Decimals (Area Model)

Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece (partial product). Add these areas together to find the whole area (product). 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP10: Solve problems involving rational numbers in real-world situations.

A computer screen displays a math worksheet on dividing mixed numbers with step-by-step feedback for corrections.

Dividing Mixed Numbers

Choose the correct steps to divide mixed numbers. Use step-by-step feedback to diagnose and correct incorrect steps. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying graphic models for adding and subtracting fractions with unlike denominators.

Fractions with Unlike Denominators

Find the sum or difference of two fractions with unlike denominators using graphic models. Find the least common denominator graphically. 5 Minute Preview


Lesson Info
Launch Gizmo
A math worksheet that shows multiplying mixed numbers with step-by-step feedback for corrections.

Multiplying Mixed Numbers

Choose the correct steps to multiply mixed numbers. Use the step-by-step feedback to diagnose incorrect steps. 5 Minute Preview


Lesson Info
Launch Gizmo
Graphing calculator displaying a dynamic area model for multiplying two decimals on a shaded grid.

Multiplying with Decimals

Multiply two decimals using a dynamic area model. On a grid, shade the region with width equal to one of the decimals and height equal to the other decimal and find the area of the region. 5 Minute Preview


Lesson Info
Launch Gizmo
Image of various colored tables focusing on the topic of adding fractions with fraction tiles.

Adding Fractions (Fraction Tiles)

Add fractions with the help of the Fractionator, a fraction-tile-making machine in the Gizmo. Model sums by placing the tiles on side-by-side number lines. Explore the usefulness of common denominators in adding. Express sums as improper fractions or mixed numbers. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.B.SP3: Approximate an irrational number as a rounded decimal.

Square Roots

Explore the meaning of square roots using an area model. Use the side length of a square to find the square root of a decimal number or a whole number. 5 Minute Preview


Lesson Info
Launch Gizmo

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.B.SP4: Express an irrational number as an exact value.

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.B.SP6: Compare and order real numbers.

Screenshot of a math worksheet on rational numbers, opposites, and absolute values using a number line for comparisons.

Rational Numbers, Opposites, and Absolute Values

Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying grids and a number line for comparing and ordering decimal numbers graphically.

Comparing and Ordering Decimals

Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. 5 Minute Preview


Lesson Info
Launch Gizmo

Ordering and Approximating Square Roots

Order square roots on a number line. Approximate the square roots using the side lengths of square regions in a grid. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying area grids and a number line for comparing percents, fractions, and decimals greater than 1.

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1: How can the density of the number line contribute to a sense of number?

1.1.1: Students interpret rational and irrational numbers.

1.2: In what ways can rational and irrational numbers support interpretation of roots and powers?

1.2.1: Students interpret square roots of perfect and non-perfect squares.

1.3: How can proportional reasoning support problem solving?

1.3.1: Students analyze multiplicative relationships within ratios.

1.1.1.A.SP4: Compare and order rational numbers.


1.1.1.A.SP4: Compare and order rational numbers.

Screenshot of a math worksheet on rational numbers, opposites, and absolute values using a number line for comparisons.

Rational Numbers, Opposites, and Absolute Values

Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying grids and a number line for comparing and ordering decimal numbers graphically.

Comparing and Ordering Decimals

Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying area grids and a number line for comparing percents, fractions, and decimals greater than 1.

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP5: Determine a rational number between any two given rational numbers.


1.1.1.A.SP5: Determine a rational number between any two given rational numbers.

Screenshot of a math worksheet on rational numbers, opposites, and absolute values using a number line for comparisons.

Rational Numbers, Opposites, and Absolute Values

Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying grids and a number line for comparing and ordering decimal numbers graphically.

Comparing and Ordering Decimals

Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying area grids and a number line for comparing percents, fractions, and decimals greater than 1.

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP6: Investigate fractions that result in repeating decimals.


1.1.1.A.SP6: Investigate fractions that result in repeating decimals.

A computer screen displays a math worksheet on percents, fractions, and decimals with area comparisons.

Percents, Fractions, and Decimals

Compare a quantity represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying area grids and a number line for comparing percents, fractions, and decimals greater than 1.

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP7: Add, subtract, multiply, and divide any two rational numbers.


1.1.1.A.SP7: Add, subtract, multiply, and divide any two rational numbers.

Computer screen displaying an area model for dividing fractions, with adjustable numerators and denominators.

Dividing Fractions

Divide fractions using area models. Adjust the numerators and denominators of the divisor and dividend and see how the area model and calculation change. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displays a math worksheet on dividing mixed numbers with step-by-step feedback for corrections.

Dividing Mixed Numbers

Choose the correct steps to divide mixed numbers. Use step-by-step feedback to diagnose and correct incorrect steps. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying graphic models for adding and subtracting fractions with unlike denominators.

Fractions with Unlike Denominators

Find the sum or difference of two fractions with unlike denominators using graphic models. Find the least common denominator graphically. 5 Minute Preview


Lesson Info
Launch Gizmo
A math worksheet that shows multiplying mixed numbers with step-by-step feedback for corrections.

Multiplying Mixed Numbers

Choose the correct steps to multiply mixed numbers. Use the step-by-step feedback to diagnose incorrect steps. 5 Minute Preview


Lesson Info
Launch Gizmo
Graphing calculator displaying a dynamic area model for multiplying two decimals on a shaded grid.

Multiplying with Decimals

Multiply two decimals using a dynamic area model. On a grid, shade the region with width equal to one of the decimals and height equal to the other decimal and find the area of the region. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying a number line illustrating sums and differences of decimal numbers using area models.

Sums and Differences with Decimals

Find the sum or difference of two decimal numbers using area models. Find the decimals and their sum or difference on a number line. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying a coordinate system for multiplying fractions using an area model with adjustable vertical and horizontal areas.

Multiplying Fractions

Multiply two fractions using an area model. Vary the vertical area to change one fraction and vary the horizontal area to change the other. Then examine the intersection of the areas to find the product. 5 Minute Preview


Lesson Info
Launch Gizmo
A screen displaying various types of fractions, including proper, improper, and mixed fractions.

Modeling Fractions (Area Models)

Model and compare fractions using area models. Set the denominators with the arrow buttons, and then set the numerators with the arrow buttons or by clicking in the models. Compare fractions visually, on a number line, or numerically using the least common denominator. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying various numbers related to multiplying decimals using an area model.

Multiplying Decimals (Area Model)

Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece (partial product). Add these areas together to find the whole area (product). 5 Minute Preview


Lesson Info
Launch Gizmo
Image of various colored tables focusing on the topic of adding fractions with fraction tiles.

Adding Fractions (Fraction Tiles)

Add fractions with the help of the Fractionator, a fraction-tile-making machine in the Gizmo. Model sums by placing the tiles on side-by-side number lines. Explore the usefulness of common denominators in adding. Express sums as improper fractions or mixed numbers. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP8: Assess the reasonableness of a sum, difference, product, or quotient, using estimation.


1.1.1.A.SP8: Assess the reasonableness of a sum, difference, product, or quotient, using estimation.

Fractions worksheets for kids focusing on estimating sums and differences using area models for comparison.

Estimating Sums and Differences

Estimate the sum or difference of two fractions using area models. Compare estimates to exact sums and differences. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying various numbers related to multiplying decimals using an area model.

Multiplying Decimals (Area Model)

Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece (partial product). Add these areas together to find the whole area (product). 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.A.SP10: Solve problems involving rational numbers in real-world situations.


1.1.1.A.SP10: Solve problems involving rational numbers in real-world situations.

A computer screen displays a math worksheet on dividing mixed numbers with step-by-step feedback for corrections.

Dividing Mixed Numbers

Choose the correct steps to divide mixed numbers. Use step-by-step feedback to diagnose and correct incorrect steps. 5 Minute Preview


Lesson Info
Launch Gizmo
A computer screen displaying graphic models for adding and subtracting fractions with unlike denominators.

Fractions with Unlike Denominators

Find the sum or difference of two fractions with unlike denominators using graphic models. Find the least common denominator graphically. 5 Minute Preview


Lesson Info
Launch Gizmo
A math worksheet that shows multiplying mixed numbers with step-by-step feedback for corrections.

Multiplying Mixed Numbers

Choose the correct steps to multiply mixed numbers. Use the step-by-step feedback to diagnose incorrect steps. 5 Minute Preview


Lesson Info
Launch Gizmo
Graphing calculator displaying a dynamic area model for multiplying two decimals on a shaded grid.

Multiplying with Decimals

Multiply two decimals using a dynamic area model. On a grid, shade the region with width equal to one of the decimals and height equal to the other decimal and find the area of the region. 5 Minute Preview


Lesson Info
Launch Gizmo
Image of various colored tables focusing on the topic of adding fractions with fraction tiles.

Adding Fractions (Fraction Tiles)

Add fractions with the help of the Fractionator, a fraction-tile-making machine in the Gizmo. Model sums by placing the tiles on side-by-side number lines. Explore the usefulness of common denominators in adding. Express sums as improper fractions or mixed numbers. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.B.SP3: Approximate an irrational number as a rounded decimal.


1.1.1.B.SP3: Approximate an irrational number as a rounded decimal.

Square Roots

Explore the meaning of square roots using an area model. Use the side length of a square to find the square root of a decimal number or a whole number. 5 Minute Preview


Lesson Info
Launch Gizmo

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.B.SP4: Express an irrational number as an exact value.


1.1.1.B.SP4: Express an irrational number as an exact value.

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview


Lesson Info
Launch Gizmo

1.1.1.B.SP6: Compare and order real numbers.


1.1.1.B.SP6: Compare and order real numbers.

Screenshot of a math worksheet on rational numbers, opposites, and absolute values using a number line for comparisons.

Rational Numbers, Opposites, and Absolute Values

Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying grids and a number line for comparing and ordering decimal numbers graphically.

Comparing and Ordering Decimals

Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. 5 Minute Preview


Lesson Info
Launch Gizmo

Ordering and Approximating Square Roots

Order square roots on a number line. Approximate the square roots using the side lengths of square regions in a grid. 5 Minute Preview


Lesson Info
Launch Gizmo
Computer screen displaying area grids and a number line for comparing percents, fractions, and decimals greater than 1.

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview


Lesson Info
Launch Gizmo

2: Algebra: Generalizing arithmetic with expressions, equations, and inequalities supports problem solving in real-world situations.


2.1.1.A.SP1: Express an algebraic term as multiplication of a coefficient and variable factors and vice versa.

Modeling the Factorization of ax2+bx+c

Factor a polynomial with a leading coefficient greater than 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

Modeling the Factorization of x2+bx+c

Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP2: Justify that an algebraic expression is a polynomial.

Modeling the Factorization of ax2+bx+c

Factor a polynomial with a leading coefficient greater than 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

Modeling the Factorization of x2+bx+c

Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP4: Classify a polynomial according to number of terms.

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP5: Relate the value of the exponent in an algebraic term to the degree of the algebraic term.

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP6: Name algebraic terms according to degree.

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP7: Determine the degree of a polynomial.

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP9: Add and subtract monomials by combining like terms.

Addition and Subtraction of Functions

Explore the graphs of two polynomials and the graph of their sum or difference. Vary the coefficients in the polynomials and investigate how the graphs change in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Addition of Polynomials

Add polynomials using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

2.2: In what ways can flexibility with numbers facilitate the process of solving equations?

2.2.1: Students solve single-variable linear equations involving rational numbers.

2.3: In what ways can multiple values be generalized?

2.3.1: Students interpret inequalities.

2.1.1.A.SP1: Express an algebraic term as multiplication of a coefficient and variable factors and vice versa.


2.1.1.A.SP1: Express an algebraic term as multiplication of a coefficient and variable factors and vice versa.

Modeling the Factorization of ax2+bx+c

Factor a polynomial with a leading coefficient greater than 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

Modeling the Factorization of x2+bx+c

Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP2: Justify that an algebraic expression is a polynomial.


2.1.1.A.SP2: Justify that an algebraic expression is a polynomial.

Modeling the Factorization of ax2+bx+c

Factor a polynomial with a leading coefficient greater than 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

Modeling the Factorization of x2+bx+c

Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP4: Classify a polynomial according to number of terms.


2.1.1.A.SP4: Classify a polynomial according to number of terms.

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP5: Relate the value of the exponent in an algebraic term to the degree of the algebraic term.


2.1.1.A.SP5: Relate the value of the exponent in an algebraic term to the degree of the algebraic term.

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP6: Name algebraic terms according to degree.


2.1.1.A.SP6: Name algebraic terms according to degree.

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP7: Determine the degree of a polynomial.


2.1.1.A.SP7: Determine the degree of a polynomial.

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview


Lesson Info
Launch Gizmo

2.1.1.A.SP9: Add and subtract monomials by combining like terms.


2.1.1.A.SP9: Add and subtract monomials by combining like terms.

Addition and Subtraction of Functions

Explore the graphs of two polynomials and the graph of their sum or difference. Vary the coefficients in the polynomials and investigate how the graphs change in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Addition of Polynomials

Add polynomials using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview


Lesson Info
Launch Gizmo

3: Geometry: The properties of geometric objects are explained through justification and proof.


3.1: In what ways can similarity refine reasoning about geometric objects?

3.1.1: Students interpret similarity through scale factor.

3.2: How might multiple geometric relationships influence interpretation of a geometric object?

3.2.1: Students analyze and explain triangle problems, using theorems.

4: Measurement: Attributes such as length, area, volume, and angle are quantified by measurement.


4.1: In what ways can a 3-D shape be modelled to support its measurement?

4.1.1: Students analyze the surface area of right 3-D shapes, using 2-D models.

5.1.1.A.SP1: Calculate the slope of a line, given two points on the line.


5.1.1.A.SP1: Calculate the slope of a line, given two points on the line.

Slope

Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes. 5 Minute Preview


Lesson Info
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5.1.1.A.SP10: Solve problems involving rate of change from various representations modelling real-world situations.

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Distance-Time Graphs

Create a graph of a runner's position versus time and watch the runner complete a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. 5 Minute Preview


Lesson Info
Launch Gizmo

Distance-Time and Velocity-Time Graphs

Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time. 5 Minute Preview


Lesson Info
Launch Gizmo

Distance-Time Graphs - Metric

Create a graph of a runner's position versus time and watch the runner complete a 40-meter dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. 5 Minute Preview


Lesson Info
Launch Gizmo

Distance-Time and Velocity-Time Graphs - Metric

Create a graph of a runner's position versus time and watch the runner run a 40-meter dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP11: Prove that a linear function has exactly one 𝑥-intercept.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP12: Express, as an ordered pair, the 𝑥- and 𝑦-intercepts of a linear function from a graph or equation.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP13: Express a linear function as an equation in slope-intercept form, given the graph.

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP14: Graph a linear function, given the equation.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP15: Express a horizontal or vertical line as an equation.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP16: Graph horizontal and vertical lines.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
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5.1.1.A.SP4: Investigate how 𝑏 and 𝑚 in the equation 𝑦 = 𝑚𝑥 + 𝑏 affect the vertical position and steepness of a graph.


5.1.1.A.SP4: Investigate how 𝑏 and 𝑚 in the equation 𝑦 = 𝑚𝑥 + 𝑏 affect the vertical position and steepness of a graph.

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP5: Prove that the slope of a vertical line is undefined.


5.1.1.A.SP5: Prove that the slope of a vertical line is undefined.

Slope

Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP6: Distinguish between graphs of linear and non-linear functions.


5.1.1.A.SP6: Distinguish between graphs of linear and non-linear functions.

Linear Functions

Determine if a relation is a function from the mapping diagram, ordered pairs, or graph. Use the graph to determine if it is linear. 5 Minute Preview


Lesson Info
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5.1.1.A.SP7: Investigate how variations of slope and 𝑦-intercepts contextually affect the rate of change of a linear function.


5.1.1.A.SP7: Investigate how variations of slope and 𝑦-intercepts contextually affect the rate of change of a linear function.

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP9: Graph a linear function, given slope and one point on the line.


5.1.1.A.SP9: Graph a linear function, given slope and one point on the line.

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP10: Solve problems involving rate of change from various representations modelling real-world situations.


5.1.1.A.SP10: Solve problems involving rate of change from various representations modelling real-world situations.

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Distance-Time Graphs

Create a graph of a runner's position versus time and watch the runner complete a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. 5 Minute Preview


Lesson Info
Launch Gizmo

Distance-Time and Velocity-Time Graphs

Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time. 5 Minute Preview


Lesson Info
Launch Gizmo

Distance-Time Graphs - Metric

Create a graph of a runner's position versus time and watch the runner complete a 40-meter dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. 5 Minute Preview


Lesson Info
Launch Gizmo

Distance-Time and Velocity-Time Graphs - Metric

Create a graph of a runner's position versus time and watch the runner run a 40-meter dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP11: Prove that a linear function has exactly one 𝑥-intercept.


5.1.1.A.SP11: Prove that a linear function has exactly one 𝑥-intercept.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP12: Express, as an ordered pair, the 𝑥- and 𝑦-intercepts of a linear function from a graph or equation.


5.1.1.A.SP12: Express, as an ordered pair, the 𝑥- and 𝑦-intercepts of a linear function from a graph or equation.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP13: Express a linear function as an equation in slope-intercept form, given the graph.


5.1.1.A.SP13: Express a linear function as an equation in slope-intercept form, given the graph.

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP14: Graph a linear function, given the equation.


5.1.1.A.SP14: Graph a linear function, given the equation.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP15: Express a horizontal or vertical line as an equation.


5.1.1.A.SP15: Express a horizontal or vertical line as an equation.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

5.1.1.A.SP16: Graph horizontal and vertical lines.


5.1.1.A.SP16: Graph horizontal and vertical lines.

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview


Lesson Info
Launch Gizmo

6: Statistics: The science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making.


6.1: In what ways can representation clarify a distribution?

6.1.1: Students analyze distribution of data, using shape.

7: Probability: Modelling randomness and quantifying the likelihood of events can inform decision making where uncertainty exists.


7.1: In what ways can multiple events affect probability?

7.1.1: Students interpret probability of independent and dependent events.

Correlation last revised: 8/4/2026

About STEM Cases

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