##### Ontario Alignment By Grade

##### Ontario Alignment By Overall Expectation

## 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 Academic LR3.02:**

- LR4.02 – describe a situation that would explain the events illustrated by a given graph of a relationship between two variables (Sample problem: The walk of an individual is illustrated in the given graph, produced by a motion detector and a graphing calculator. Describe the walk [e.g., the initial distance from the motion detector, the rate of walk].);

# Task 1, Act 1 – Introduce the Problem

Show this video.

Ask students what they wonder? What questions come to mind?

Write down some of the questions/ideas that students share.

# Task 1, Act 2 – Give Some Information

Show this video.

Students are now given the distance of the walk and the amount of time it took me to walk the distance.

By now, either students will have come to the conclusion or you can share the question that we’re hoping to begin with:

What does the distance-time graph look like of my walk?

I usually have my students sketch out a graph on their desks using non-permanent markers, but you might opt to give them a grid like this one that Dan Meyer and the BuzzMath folks shared on their Graphing Stories website.

Then, I’ll get my kids into Knowledgehook Gameshow to do the remainder of the task interactively. I’ll play videos (there are 10 different walks) and students can sketch the graph, select from options I send to their screens, and then upload a solution of their work.

Note that when I embed questions on my blog, the upload solution option does not work.

Here’s the first Knowledgehook question:

# Task 1, Act 3 – Show the Answer

After students have responded and you’ve shared out some of their sketches to the projector to discuss as a group, you can play the Act 3 video.

My kids had some fun doing this activity in class. Obviously, if you have calculator-based rangers (CBRs) for your TI-83’s or digital versions that connect to your tablets/phones, that is an obvious cool activity to do as well. You can also have students create their own videos with their iPads/tablets like Jon Orr does with his class.

# Interactive Math Task Activity Page

Send your students through an interactive math task with Embedded Gameshow (like the questions you see above). This is similar to the Interactive Math Learning Journeys I have posted in the past.

# Task Resources:

Here’s all the videos on YouTube for all 10 of the walks:

Task 1 [act 1 | act 2 | act 3]

Task 2 [act 2 | act 3]

Task 3 [act 2 | act 3]

Task 4 [act 2 | act 3]

Task 5 [act 2 | act 3]

Task 6 [act 2 | act 3]

Task 7 [act 2 | act 3]

Task 8 [act 2 | act 3]

Task 9 [act 2 | act 3]

Task 10 [act 2 | act 3]

Here’s a YouTube Playlist with ALL of the walks. Pretty convenient to have all the acts of the ten walks in one, big playlist.

## Download The Task and Resources

Grab all the videos, images and resources by clicking download below:

Download

## DOWNLOAD THE COMPLETE GUIDE

Take the learning with you by **downloading the complete guide** that you can save and print to share with colleagues during your next **professional learning community** meeting or for your own independent learning!

## Share With Your Tribe:

## About Kyle Pearce

I’m Kyle Pearce and I am a former high school math teacher. I’m now the K-12 Mathematics Consultant with the Greater Essex County District School Board, where I uncover creative ways to spark curiosity and fuel sense making in mathematics. Read more.

Access Other Real World Math Tasks

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Grade 7 [Data Management and Probability - DP3, Geometry and Spatial Sense - GS1, Measurement - M2, Number Sense and Numeration - NS1, Number Sense and Numeration - NS2, Number Sense and Numeration - NS3, Patterning and Algebra - PA1, Patterning and Algebra - PA2]

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MCR3U [Characteristics of Functions - CF1, Characteristics of Functions - CF2, Exponential Functions - EF2, Exponential Functions - EF3, Trigonometric Functions - TF3]

MCT4C [Exponential Functions - EF1, Trigonometric Functions - TF3]

MCV4U [Derivatives and Their Applications - DA2]

MDM4U [Counting and Probability - CP2, Organization of Data For Analysis - DA2, Probability Distributions - PD1, Statistical Analysis - SA1, Statistical Analysis - SA2]

MEL4EMFM1P [Linear Relations - LR1, Linear Relations - LR2, Linear Relations - LR3, Linear Relations - LR4, Measurement and Geometry - MG1, Measurement and Geometry - MG2, Measurement and Geometry - MG3, Number Sense and Algebra - NA1, Number Sense and Algebra - NA2]

MFM2P [Measurement and Trigonometry - MT1, Measurement and Trigonometry - MT2, Measurement and Trigonometry - MT3, Modelling Linear Relations - LR1, Modelling Linear Relations - LR2, Modelling Linear Relations - LR3, Quadratic Relations in y = ax^2 + bx + c Form - QR1, Quadratic Relations in y = ax^2 + bx + c Form - QR2, Quadratic Relations in y = ax^2 + bx + c Form - QR3]

MHF4U [Characteristics of Functions - CF3, Exponential and Logarithmic Functions - EL2, Exponential and Logarithmic Functions - EL3]

MPM1D [AG3, Analytic Geometry - AG1, Analytic Geometry - AG2, LR1, LR2, LR3, MG1, MG2, MG3, NA1, Number Sense and Algebra - NA2]

MPM2D [AG1, AG2, AG3, QR2, Quadratic Relations - QR3, Quadratic Relations - QR4, T2, T3]

Functions [F-BF.1, F-BF.3, F-IF.4, F-LE.1, F-LE.2, F-LE.3, F-TF.5]

Geometry [G-C.5, G-C.8, G-C.9, G-GMD.3, G-GMD.4, G-GPE.4, G-GPE.5, G-GPE.7, G-MG.1, G-MG.2, G-SRT.11]

Grade 1 [1.NBT.4, 1.OA.1]

Grade 2 [2.NBT.5, 2.OA.2]

Grade 3 [3.NBT.2, 3.NF.1, 3.NF.3, 3.OA.1, 3.OA.5, 3.OA.9]

Grade 4 [4-MD.3, 4.MD.2, 4.NBT.6, 4.NF.3, 4.OA.1]

Grade 5 [5.MD.1, 5.MD.3, 5.MD.4, 5.MD.5, 5.NBT.6, 5.NF.1, 5.OA.1, 5.OA.2, 5.OA.3]

Grade 6 [6.EE.1, 6.EE.2, 6.G.1, 6.G.2, 6.NS.1, 6.RP.2, 6.RP.3]

Grade 7 [7.EE.4, 7.G.3, 7.G.4, 7.G.6, 7.RP.1, 7.RP.3, 7.SP.2, 7.SP.6]

Grade 8 [8.EE.1, 8.EE.5, 8.EE.6, 8.EE.7, 8.EE.8, 8.F.2, 8.F.3, 8.F.4, 8.F.5, 8.G.5, 8.G.7, 8.G.9, 8.SP.1]

Practice [MP.1, MP.2, MP.3, MP.4, MP.6, MP.7]

Statistics & Probability [S-ID.6, S-MD.4]

Hi! I love this activity, but I’m having trouble accessing the Knowledgehook questions that are embedded. When I log into Knowledgehook I see my teacher “mainpage” but no active gameshows. When I have a student log in, their account shows no active gameshows? I feel like I’m missing something obvious – any ideas? Thanks!