# 3 Act Math Tasks

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

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

## Grade 6

**Overall Expectation Description:**

The Grade 6 Ontario Curriculum consists of five mathematical strands:

- Number Sense and Numeration
- Measurement
- Geometry and Spatial Sense
- Patterning and Algebra
- Data Management and Probability

## Related 3 Act Math Tasks:

## Donut Delight

### How many doughnuts are there?

**Shared By:**

Brennan Jones

Brian Marks

Graham Fletcher

Kyle Pearce

Mike Wiernicki

**Math Topic:**

Multiplication, Division, Proportional Reasoning

**Ontario Curriculum Alignment:**

- Grade 3 [Number Sense and Numeration - NS1, Number Sense and Numeration - NS3]
- Grade 4 [Number Sense and Numeration - NS3]
- Grade 5 [Number Sense and Numeration - NS3]
- Grade 6 [Number Sense and Numeration - NS1]
- Grade 7 [Number Sense and Numeration - NS3]
- Grade 8 [Number Sense and Numeration - NS3]
- MFM1P [Number Sense and Algebra - NA1]
- MPM1D [Number Sense and Algebra - NA2]

**Common Core State Standard Alignment:**

## 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:**

## Solar Panels

### How much greenhouse gas emissions can they offset?

**Shared By:**

Kyle Pearce

**Math Topic:**

Proportional reasoning, proportions, direct variation linear relations

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Calvin’s Clearance

### What is the sale price?

**Shared By:**

Kyle Pearce

**Math Topic:**

Percentages and Discounts

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Placing Toothpicks

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

**Shared By:**

Justin Levack

Kyle Pearce

**Math Topic:**

Patterning, Proportional / Direct Variation Linear Relations

**Ontario Curriculum Alignment:**

- Grade 6 [Patterning and Algebra - PA1, Patterning and Algebra - PA2]
- Grade 7 [Patterning and Algebra - PA1, Patterning and Algebra - PA2]
- Grade 8 [Patterning and Algebra - PA1, Patterning and Algebra - PA2]
- MAT1L
- MAT2L
- MFM1P [Linear Relations - LR1, Linear Relations - LR2, Linear Relations - LR3, Number Sense and Algebra - NA1]
- MPM1D [LR2, Number Sense and Algebra - NA2]

**Common Core State Standard Alignment:**

## R2D2 Post-Its by @MrOrr_geek

### How many post-it notes will it take to fill the board?

**Shared By:**

Jon Orr

**Math Topic:**

Measurement of Area, Proportional Reasoning

**Ontario Curriculum Alignment:**

- Grade 6 [Measurement - M2, Number Sense and Numeration - NS3]
- Grade 7 [Measurement - M2, Number Sense and Numeration - NS3]
- Grade 8 [Measurement - M2, Number Sense and Numeration - NS3]
- MAT1L
- MAT2L
- MFM1P [Measurement and Geometry - MG2, Number Sense and Algebra - NA1]
- MPM1D [MG2, Number Sense and Algebra - NA2]

**Common Core State Standard Alignment:**

## Doritos Roulette: Hot or Not?

### How Many Chips Are Hot?

**Shared By:**

Kyle Pearce

**Math Topic:**

probability, expected value, ratios, fractions, proportions.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Eiffel Tower Trek

### How many stairs are there?

**Shared By:**

Mishaal Surti

**Math Topic:**

Proportional Reasoning, Rate of Change, Ratio, Measurement, Length

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Big Cheques

### How many times bigger is the printed cheque vs. the original?

**Shared By:**

Kyle Pearce

**Math Topic:**

Proportional Reasoning, Ratios/Rates, Percentages, Direct Variation.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

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