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  • Ontario Standards
  • Mathematics: 10th Grade

Ontario - Mathematics: 10th 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.

EMSV: : Extending Money Sense


EMSV.01: : solve problems drawn from everyday situations involving money, demonstrating skill, and understanding in the use of decimal numbers;

1.1.1: : Understanding and Using Decimal Numbers in Solving Problems

EMS1.06: : solve problems involving sales tax, discounts, restaurant tips, and commission earnings (e.g., A skateboard costs $49.99 before taxes. You have $60.00. Do you have enough to buy the skateboard? Justify your answer.);

Screenshot of Percent of Change

Percent of Change

Apply markups and discounts using interactive "percent rulers." Improve number sense for percents with this dynamic, visual tool. Reinforce the original cost (or original price) as the baseline for percent calculations. 5 Minute Preview


Lesson Info
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EMS1.08: : solve problems involving the accomplishment of a particular goal, including investigating, planning, gathering, and organizing data, and making relevant calculations (e.g., plan a special event within a given budget).

Screenshot of Percent of Change

Percent of Change

Apply markups and discounts using interactive "percent rulers." Improve number sense for percents with this dynamic, visual tool. Reinforce the original cost (or original price) as the baseline for percent calculations. 5 Minute Preview


Lesson Info
Launch Gizmo

EUMV: : Extending Understanding of Measurement


EUMV.01: : make estimates and measurements to extend understanding of the metric system;

2.1.1: : Estimating and Measuring Using the Metric System

EUM1.03: : estimate, using standard units, measurements of length, capacity, and mass that arise from their everyday experience (e.g., the distance from school to the motor vehicle office is about 15 km; the mass of the refrigerator is about 75 kg; the capacity of a gasoline tank is about 60 L);

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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EUM1.08: : describe applications from everyday life and the workplace that involve a combination of perimeter, area, volume, mass, capacity, time, and/ or money (e.g., a landscaping project may require the use of perimeter for purchasing fencing, area for purchasing sod, volume for purchasing soil, and require the job to be completed within a specified time).

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 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 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
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EUMV.03: : solve problems involving measurements of circles, rectangles, cylinders, and rectangular prisms, using metric units in applications drawn from everyday life and the workplace;

2.3.1: : Solving Problems Involving Circumference, Perimeter, Area, and Volume

EUM3.02: : determine an approximate value for π (pi) by investigating the relationship between the circumference and the diameter of a circle, using concrete materials to obtain measurements;

Screenshot of Circumference and Area of Circles

Circumference and Area of Circles

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


Lesson Info
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EUM3.03: : validate the formula for the circumference of a circle by comparing measurements of the circumference to the calculations, using the formula C = π d;

Screenshot of Circumference and Area of Circles

Circumference and Area of Circles

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


Lesson Info
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EUM3.04: : solve authentic problems requiring the calculation of the circumference of a circle;

Screenshot of Circumference and Area of Circles

Circumference and Area of Circles

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


Lesson Info
Launch Gizmo

EUM3.08: : validate the formula for the area of a circle by comparing approximate measurements of the area to the calculations, using the formula A = πr² (e.g., measure the area and radius of several circles, using concrete materials);

Screenshot of Circumference and Area of Circles

Circumference and Area of Circles

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


Lesson Info
Launch Gizmo

EUM3.09: : construct reasonably accurate diagrams of the angles 180°, 90°, 45°, 30°, and 60°, by dividing a given circle into the appropriate number of parts (e.g., to construct an angle of 45°, divide a given circle into eight equal parts);

Screenshot of Inscribed Angles

Inscribed Angles

Resize angles inscribed in a circle. Investigate the relationship between inscribed angles and the arcs they intercept. 5 Minute Preview


Lesson Info
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EUM3.11: : establish that the volume of a cylinder is found by multiplying the area of its base by its height by comparing the structure of a prism to that of a cylinder (e.g., the top and bottom are identical and the sides are perpendicular to the top and bottom);

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

EUM3.12: : solve problems drawn from everyday situations involving the perimeters and the areas of circles and rectangles, and the volumes of cylinders and rectangular prisms.

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

EPRV: : Extending Understanding of Proportional Reasoning


EPRV.01: : solve problems drawn from everyday situations, demonstrating skill and understanding in the use of fractions, percentages, ratios, and rates;

3.1.1: : Applying Fractions, Percent, Ratio, and Rate in Solving Problems

EPR1.07: : write ratios describing relationships in the school environment (e.g., the ratio of silver cars to white cars in the parking lot today is 7:15);

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

EPR1.09: : solve problems using proportions (e.g., In making punch, the ratio of fruit juice to water is 1:3. How much water should be added if you have 3 litres of fruit juice?);

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 Direct and Inverse Variation

Direct and Inverse Variation

Adjust the constant of variation and explore how the graph of the direct or inverse variation function changes in response. Compare direct variation functions to inverse variation functions. 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 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
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

EPRV.02: : communicate information drawn from a variety of sources;

3.2.1: : Communicating Information

EPR2.02: : construct a variety of graphs (straight line, bar, circle), with and without the use of technology, to assist in identifying patterns in data or drawing conclusions from data;

Screenshot of Stem-and-Leaf Plots

Stem-and-Leaf Plots

Build a data set and compare the line plot of the data set to the stem-and-leaf plot. 5 Minute Preview


Lesson Info
Launch Gizmo

EPRV.03: : use literacy skills (reading, writing, listening, and speaking) to extend understanding of proportional reasoning.

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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