## Real World Math Related Posts

## Airplane Problem – Trip to Toronto

From Subitizing and Unitizing to Multiplicative and Algebraic Thinking This 3 act math task was designed specifically to have a very low floor in order to be useful from primary grades and a high ceiling with an opportunity for many extensions so the task can be used in junior and intermediate classrooms. While I believe this task can touch on many different specific expectations at man...

## Solar Panels

Proportional Reasoning With Green Energy This is a 3 Act Math Task that focuses on "Green Energy" proportional reasoning questions related to solar panels in order to address proportions both visually using area models and proportions written as equivalent fractions. Special thanks goes to Dave Raney from CPE Inc. for allowing us to use his video and photos as well as Kathleen Quenneville, ...

## Calvin’s Clearance

Working With Percentages to Estimate & Calculate Discounts The following lesson resource material provides Real World Math Problems that were created with the Grade 6 Ontario Mathematics Curriculum in mind, but can be used in all intermediate grades to reenforce an understanding of percentages and discounts. Throughout the lesson, students are asked to estimate the cost of each item of clot...

## Fast Clapper

Using Real World Rates and Proportional Reasoning The following 3 act math task shared by Nathan Kraft (@nathankraft1) involves proportional reasoning with opportunities to address learning goals around rates, proportions, rates of change and creating equations. Jon Orr and I have used this task in presentations a number of times over the past few months and many have asked us to share o...

## Railing Reconstruction

Introducing Angle Geometry: Constructing Related Lines From Grade 7 to 9 in the Ontario Math Curriculum, student understanding of angle geometry is extended to include (but not limited to) the following specific expectations: Grade 7 constructing related lines (i.e., parallel; perpendicular; intersecting at 30º, 45º, and 60º), using angle properties and a variety of tools (e.g., comp...

## Penny a Day

Introducing Exponential Notation and Exponential Relations In Ontario, exponential notation is introduced in grade 8 in order to pave way for topics such as area of a cirlce and Pythagorean Theorem. As students reach secondary, exponential notation becomes increasingly more important as more complex functions are introduced in each course. Recently, I had a number of teachers emailing me fo...

## Walk Out Sequel feat. @Desmos Activity & @Knowledgehook Gameshow!

Using Context to Introduce Parallel, Perpendicular or Neither This 3 act math task was created using video clips from the Walk Out 3 Act Math Task as a way to get students wondering about parallel and perpendicular lines. Here's the expectation from the grade 9 academic course in Ontario: AG2.04 - identify, through investigation, properties of the slopes of lines and line segments (e....

## Piling Up Systems of Linear Equations

Contextual Tasks for Practicing Solving Systems of Linear Equations There has been a lot of requests for more contextual and/or 3 act math tasks related to solving systems of linear equations when I work with teachers. A big realization I've come to this past year is that making students curious with contextual tasks doesn't necessarily have to involve a relevant question. Dan Meyer has discuss...

## Tech Weigh In Sequel

Introducing Systems of Equations With Context and Visuals Recently, I've shared a few tasks related to linear relations with a push to explore multiple strategies including simple systems of equations. The intention of this post is to take students from working with partial variation linear relations to systems of linear equations. While I'm excited to share the sequel to the Tech Weigh ...

## Walk Out

Introducing Distance-Time Graphs & Graphing Stories This 3 act math task was created as a simple, yet powerful way to introduce distance-time graphs and other various graphs of linear and non-linear relationships between two variables. In particular, I'm looking to address the following specific expectations from the grade 9 math courses in Ontario: Grade 9 Applied LR4.02 & Grade 9 Acade...

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