## 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 discussed it multiple times (like here and here), but it still takes a lot of reflection to start identifying what is important when trying to hook your students in. Continuing the series of Tech Weight and the Tech Weight Sequel, we take the same context of weighing random items to give us some additional practice. You'll quickly notice that these tas...

## 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 In task, I think it is important that you explore some of the following tasks prior to introducing systems of equations. Check these out with your students as suggested prerequisites prior to introducing the new tasks from this post: Stacking Paper - Proportional Reasoning / Direct Variation Linear Relations Stacking Paper Sequel - Partia...

## Camera Case & Pads of Paper Weigh In

3 Act Math With Partial Variation Linear Relations Here's another task that is a good next step once you've tackled the Tech Weigh In 3 act math task that covers direct and partial variation linear relations. This task gives students another chance to get some exposure to partial variation linear relations and could provide an opportunity for the teacher to begin consolidating the topic by moving towards some more abstract concepts like the slope formula and finding linear equations given two points. Similar tasks to check out would be Stacking Paper, Stacking Paper Sequel and Thick Stacks. Special thanks to Justin Levack again for coming up with the "weigh in" idea and pushing me to actually record this with him when we are all runni...

## Tech Weigh In

Direct and Partial Variation Linear Relations In the Ontario grade 9 applied and academic math courses, students do a lot of work with direct (proportional) and partial variation linear relations. This task was created to assist in adding context to these types of relations and help students build an understanding of both by using intuition, logic, and prior knowledge. Special thanks to Justin Levack for coming up with the idea and pushing me to actually record this with him when I was running out of steam at the end of the school year! Task #1 - iPad 2 Weigh In Act 1 - Introduce the Problem Show this video: https://youtu.be/33TJ8siIYuw What's the question? Get your students talking about what they think this mat...

## How Lesson Failures Can Still Provide Value

Turning a Less Than Effective Lesson Into a Growth Opportunity Today, we extended our learning goal from the previous day from: I can find the point of intersection of two linear relations on a graph and interpret the meaning of the intersection point related to a real world situation. to the following learning goal: I can solve multi-step linear equations using a variety of tools and strategies. (i.e.: 2x + 7 = 6x - 1) For years, I would simply extend our work solving linear equations in Slope/Y-Intercept (y = mx + b) Form by adding additional terms on both sides of the equation. However, I found that we were quickly moving from a deep conceptual understanding of rate of change and initial value to no meaning at all...

## Thick Stacks

This Task Is Now in a Multi-Touch Book! Grab It! Learn more about what's inside this multi-touch book for iBooks here. Or, consider using this task in an interactive way via Google Sites. Finding the Equation of a Line Given Two Points This 3 Act Math Task is yet another sequel to the Stacking Paper and Stacking Paper - Sequel 3 Act Math Tasks where we look at linear relations with respect to a real world situation involving packages of paper stacked into a tower. While the original task begins with a direct variation requiring only basic proportional reasoning skills, the previous sequel had students looking at a partial variation linear relation with an initial value being the height of a table and were required...