# 3 Act Math Tasks

## Real World 3 Act Math Tasks Aligned to Ontario Curriculum

**Not from Ontario? Access Common Core State Standards (CCSS)**

## MFM2P

**Overall Expectation Description:**

MFM2P – Foundations of Mathematics

Grade 10, AppliedThis course enables students to consolidate their understanding of linear relations and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and hands-on activities. Students will develop and graph equations in analytic geometry; solve and apply linear systems, using real-life examples; and explore and interpret graphs of quadratic relations. Students will investigate similar triangles, the trigonometry of right triangles, and the measurement of three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

## 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:**

## 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:**

## Gas Guzzler

### What is the cost of gasoline per litre?

**Shared By:**

Kyle Pearce

**Math Topic:**

Ratios and Rates, Rates of Change, Slope, Direct Variation of a Linear Relation, Proportional Reasoning

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Counting Candy Sequel

### How many of each colour are there?

**Shared By:**

Justin Levack

Kyle Pearce

**Math Topic:**

Solving Systems of Linear Equations

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**