# Ontario Grade 10 - 3 Act Math Tasks

## Real World Math for Common Core and Ontario Curriculum

**CCSS:**- Grade 3
- Grade 4
- Grade 5
- Grade 6
- Grade 7
- Grade 8
- Algebra
- Functions
- Geometry
- Statistics
- Practice

The following list of

**3 Acts Real World Math Problems**for Grade 10 Mathematics in Ontario.

## Related 3 Act Math Tasks:

## Airplane Problem – Trip to Toronto

### How many seats are there?

**Shared By:**

Kyle Pearce

**Math Topic:**

Counting and Quantity (Subitizing, Unitizing), Multiplication, Algebra

**Ontario Curriculum Alignment:**

- Grade 1 [Number Sense and Numeration - NS1]
- Grade 2 [Number Sense and Numeration - NS2, Number Sense and Numeration - NS3]
- Grade 3 [Number Sense and Numeration - NS3]
- Grade 4 [Patterning and Algebra - PA2]
- Grade 5 [Patterning and Algebra - PA2]
- Grade 6 [Number Sense and Numeration - NS1]
- Grade 7 [Patterning and Algebra - PA2]
- Grade 8 [Patterning and Algebra - PA2]
- MFM1P [Number Sense and Algebra - NA2]
- MFM2P [Quadratic Relations in y = ax^2 + bx + c Form - QR3]
- MPM1D [Number Sense and Algebra - NA2]
- MPM2D [Quadratic Relations - QR4]

**Common Core State Standard Alignment:**

## Fast Clapper

### Will he beat the record?

**Shared By:**

Nathan Kraft

**Math Topic:**

Ratios, Rates, and Proportional Reasoning.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Piling Up Systems of Linear Equations

### How much does each weigh?

**Shared By:**

Kyle Pearce

**Math Topic:**

Solving systems of linear equations, point of intersection, elimination, substitution

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Tech Weigh In Sequel

### How much does each weigh?

**Shared By:**

Kyle Pearce

**Math Topic:**

Solving systems of linear equations, point of intersection, elimination, substitution

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Hot Coffee

### How many gallons fit into that coffee cup?

**Shared By:**

Dan Meyer

**Math Topic:**

Understand ratio concepts and use ratio reasoning to solve problems.

Apply geometric concepts in modeling situations.

Explain volume formulas and use them to solve problems.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Draining The Pool

### How long will it take to drain the pool?

**Shared By:**

Kyle Pearce

**Math Topic:**

Linear and non-linear relationships including classifying positive/negative, strong/weak, predicting via interpolation and extrapolation using a line/curve of best fit on a scatter plot.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Placing Toothpicks Sequel

### How many toothpicks are in the 6th figure? ... the 11th figure?

**Shared By:**

Justin Levack

Kyle Pearce

**Math Topic:**

Creating tables, graphs and equations of linear and non-linear relations.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Camera Case & Pads of Paper Weigh In

### How much does the camera case weigh?

**Shared By:**

Justin Levack

Kyle Pearce

**Math Topic:**

Partial variation, initial value and the rate of change of linear relations, finding the equation of a line given two points.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Tech Weigh In

### How much does one device weigh?

**Shared By:**

Justin Levack

Kyle Pearce

**Math Topic:**

Direct and partial variation, initial value and the rate of change of linear relations, equations of lines.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Big Nickel

### Would it be cheaper to build it using nickels?

**Shared By:**

Andrew Stadel

Cathy Yenca

Dan Meyer

Kyle Pearce

**Math Topic:**

Proportional Reasoning, Volume, Problem Solving

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**