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.);

Percent of Change

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).

Percent of Change

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);

Beam to Moon (Ratios and Proportions) - Metric

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).

Area of Parallelograms
Beam to Moon (Ratios and Proportions) - Metric
Perimeter and Area of Rectangles
Prisms and Cylinders

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;

Circumference and Area of Circles

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;

Circumference and Area of Circles

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

Circumference and Area of Circles

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);

Circumference and Area of Circles

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);

Inscribed Angles

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);

Prisms and Cylinders

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.

Area of Parallelograms
Perimeter and Area of Rectangles
Prisms and Cylinders

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);

Beam to Moon (Ratios and Proportions) - Metric
Estimating Population Size
Part-to-part and Part-to-whole Ratios

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?);

Beam to Moon (Ratios and Proportions) - Metric
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios

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;

Stem-and-Leaf Plots

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

Geometric Probability