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  • Ontario Standards
  • Mathematics: 9th Grade

Ontario - Mathematics: 9th Grade

ON--Locally Developed Compulsory Credit Courses | Adopted: 2005

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

DMSV: : Developing and Consolidating Money Sense


DMSV.01: : interpret, write, and round decimal numbers with understanding in everyday money situations;

1.1.1: : Understanding and Using Decimals

DMS1.05: : interpret numerical information drawn from the media or through conversation and explain its significance, using familiar references (e.g., I read in the newspaper that an athlete earned $250 000 last year. How many hours would you need to work to earn that much money?);

Screenshot of Box-and-Whisker Plots

Box-and-Whisker Plots

Construct a box-and-whisker plot to match a line plots, and construct a line plot to match a box-and-whisker plots. Manipulate the line plot and examine how the box-and-whisker plot changes. Then manipulate the box-and-whisker plot and examine how the line plot changes. 5 Minute Preview


Lesson Info
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Screenshot of Estimating Population Size

Estimating Population Size

Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Polling: City

Polling: City

Poll residents in a large city to determine their response to a yes-or-no question. Estimate the actual percentage of yes votes in the whole city. Examine the results of many polls to help assess how reliable the results from a single poll are. See how the normal curve approximates a binomial distribution for large enough polls. 5 Minute Preview


Lesson Info
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Screenshot of Real-Time Histogram

Real-Time Histogram

Try to click your mouse once every 2 seconds. The time interval between each click is recorded, as well as the error and percent error. Data can be displayed in a table, histogram, or scatter plot. Observe and measure the characteristics of the resulting distribution when large amounts of data are collected. 5 Minute Preview


Lesson Info
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DCMV: : Developing and Consolidating Concepts in Measurement


DCMV.01: : estimate and measure length, capacity, and mass, in order to consolidate understanding of the metric system;

2.1.1: : Understanding and Using the Metric System

DCM1.08: : estimate and use measurements of length, capacity, and mass in everyday applications (e.g., the distance from the school to the skating rink is about 1 km; the cups in the cafeteria hold about 350 mL; one protein bar has a mass of about 85 g).

Screenshot of Beam to Moon (Ratios and Proportions) - Metric

Beam to Moon (Ratios and Proportions) - Metric

Apply ratios and proportions to find the weight of a person on the moon (or on another planet). Weigh an object on Earth and on the moon and weigh the person on Earth. Then set up and solve the proportion of the Earth weights to the moon weights. 5 Minute Preview


Lesson Info
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DCMV.03: : solve problems, carry out investigations, estimate, and measure, using metric units, to consolidate understanding of perimeter, area, and volume

2.3.1: : Understanding and Applying Perimeter, Area, and Volume

DCM3.01: : explore and describe situations from everyday life and the workplace that require calculation or measurement of perimeter (e.g., fencing, wall paper borders, the baseboard around a room, the distance around a track or a baseball diamond);

Screenshot of Perimeter and Area of Rectangles

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview


Lesson Info
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DCM3.02: : estimate, measure, and calculate perimeters drawn from applications in everyday life and the workplace;

Screenshot of Perimeter and Area of Rectangles

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview


Lesson Info
Launch Gizmo

DCM3.04: : explore and describe situations from everyday life and the workplace that require calculating and measuring area (e.g., buying wallpaper, floor tiles, sod, patio slabs);

Screenshot of Area of Parallelograms

Area of Parallelograms

Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Perimeter and Area of Rectangles

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview


Lesson Info
Launch Gizmo

DCM3.05: : investigate the areas of a variety of rectangles and triangles, using concrete materials (e.g., square tiles, interlocking cubes, rectangular and triangular pattern blocks, triangle models, grid paper);

Screenshot of Area of Parallelograms

Area of Parallelograms

Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Perimeter and Area of Rectangles

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Square Roots

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
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DCM3.07: : predict and explain, from experiences involving concrete materials, that the area of any rectangle can be found by multiplying its length by its width;

Screenshot of Area of Triangles

Area of Triangles

Use a dynamic triangle to explore the area of a triangle. With the help of an animation, see that any triangle is always half of a parallelogram (with the same base and height). Likewise, a similar animation shows the connection between parallelograms and rectangles. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Perimeter and Area of Rectangles

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview


Lesson Info
Launch Gizmo

DCM3.08: : estimate and calculate the areas of rectangles and triangles, drawn from applications in everyday life and the workplace;

Screenshot of Area of Parallelograms

Area of Parallelograms

Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Perimeter and Area of Rectangles

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview


Lesson Info
Launch Gizmo

DCM3.09: : estimate and calculate the areas of regions that can be broken into rectangles (e.g., L-shaped floor plan, a garden, a roof);

Screenshot of Area of Triangles

Area of Triangles

Use a dynamic triangle to explore the area of a triangle. With the help of an animation, see that any triangle is always half of a parallelogram (with the same base and height). Likewise, a similar animation shows the connection between parallelograms and rectangles. 5 Minute Preview


Lesson Info
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DCM3.10: : explore and describe situations from everyday life and the workplace that require calculation or measurement of volume (e.g., the size of a package, the amount of soil to purchase, the volume of air in a room, amount of liquid medication);

Screenshot of Prisms and Cylinders

Prisms and Cylinders

Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder. 5 Minute Preview


Lesson Info
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DCM3.12: : predict and explain, from investigations involving the building of prisms, that the volume of a prism is given by multiplying the area of its base by its height;

Screenshot of Prisms and Cylinders

Prisms and Cylinders

Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder. 5 Minute Preview


Lesson Info
Launch Gizmo

DCM3.13: : estimate and calculate the volumes of rectangular prisms drawn from applications in everyday life and the workplace;

Screenshot of Prisms and Cylinders

Prisms and Cylinders

Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder. 5 Minute Preview


Lesson Info
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DCM3.14: : select the most appropriate standard unit to measure the perimeter, area, or volume of a figure (e.g., use centimetres squared or cm² to measure the area of a book cover, but use metres squared or m² to measure the area of a wall);

Screenshot of Area of Triangles

Area of Triangles

Use a dynamic triangle to explore the area of a triangle. With the help of an animation, see that any triangle is always half of a parallelogram (with the same base and height). Likewise, a similar animation shows the connection between parallelograms and rectangles. 5 Minute Preview


Lesson Info
Launch Gizmo

DCM3.16: : solve problems involving perimeter, area, and volume in applications drawn from everyday situations.

Screenshot of Area of Parallelograms

Area of Parallelograms

Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Perimeter and Area of Rectangles

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Prisms and Cylinders

Prisms and Cylinders

Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder. 5 Minute Preview


Lesson Info
Launch Gizmo

DPRV: : Developing Concepts in Proportional Reasoning


DPRV.01: : determine relationships among fractions, percentages, ratios, and rates by constructing diagrams, building models, and estimating measurements;

3.1.1: : Constructing Understanding of Fractions, Percentages, Ratios, and Rates

DPR1.11: : identify and use ratios, including equivalent ratios, to express the relationships among quantities represented by models and diagrams;

Screenshot of Part-to-part and Part-to-whole Ratios

Part-to-part and Part-to-whole Ratios

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


Lesson Info
Launch Gizmo

DPR1.12: : explore and describe the use of ratios from their personal experiences (e.g., ratio of ingredients in a recipe, bicycle gear ratios, the ratio of red cars to blue cars in the school parking lot is 12:10 or 6:5);

Screenshot of Beam to Moon (Ratios and Proportions) - Metric

Beam to Moon (Ratios and Proportions) - Metric

Apply ratios and proportions to find the weight of a person on the moon (or on another planet). Weigh an object on Earth and on the moon and weigh the person on Earth. Then set up and solve the proportion of the Earth weights to the moon weights. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Estimating Population Size

Estimating Population Size

Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Part-to-part and Part-to-whole Ratios

Part-to-part and Part-to-whole Ratios

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


Lesson Info
Launch Gizmo

DPR1.13: : explore and identify rates drawn from their experiences and the units used in them (e.g., the speed limit for an automobile in the city is 50 km/h);

Screenshot of Household Energy Usage

Household Energy Usage

Explore the energy used by many household appliances, such as television sets, hair dryers, lights, computers, etc. Make estimates for how long each item is used on a daily basis to get an estimate for the total power consumed during a day, a week, a month, and a year, and how that relates to consumer costs and environmental impact. 5 Minute Preview


Lesson Info
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DPRV.02: : solve problems drawn from everyday situations involving percent, ratio, rate, and fractions;

3.2.1: : Solving Problems

DPR2.02: : solve simple problems using equivalent ratios (e.g., recipes, scale diagrams);

Screenshot of Part-to-part and Part-to-whole Ratios

Part-to-part and Part-to-whole Ratios

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


Lesson Info
Launch Gizmo

DPR2.04: : calculate and compare the unit costs of items found in everyday situations (e.g., compare the cost of one bottle of water bought from a vending machine versus the cost of one bottle from a case of 24);

Screenshot of Household Energy Usage

Household Energy Usage

Explore the energy used by many household appliances, such as television sets, hair dryers, lights, computers, etc. Make estimates for how long each item is used on a daily basis to get an estimate for the total power consumed during a day, a week, a month, and a year, and how that relates to consumer costs and environmental impact. 5 Minute Preview


Lesson Info
Launch Gizmo

DPRV.03: : communicate information about proportional reasoning;

3.3.1: : Communicating Information about Proportional Reasoning

DPR3.01: : verbalize their observations and reflections regarding proportional reasoning and ask questions to clarify their understanding (e.g., talk about their own and other students’ solutions to problems);

Screenshot of Geometric Probability

Geometric Probability

Randomly throw darts at a target and see what percent are "hits." Vary the size of the target and repeat the experiment. Study the relationship between the area of the target and the percent of darts that strike it 5 Minute Preview


Lesson Info
Launch Gizmo

DPR3.02: : explain their reasoning used in problem solving and in judging reasonableness;

Screenshot of Estimating Population Size

Estimating Population Size

Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview


Lesson Info
Launch Gizmo

DPR3.03: : communicate, orally and in writing, the solutions to proportional reasoning problems and the results of investigations, using appropriate terminology, symbols, and form.

Screenshot of Geometric Probability

Geometric Probability

Randomly throw darts at a target and see what percent are "hits." Vary the size of the target and repeat the experiment. Study the relationship between the area of the target and the percent of darts that strike it 5 Minute Preview


Lesson Info
Launch Gizmo

Correlation last revised: 9/16/2020

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