Today’s Materials
Reasoning about Solving Equations
(part 1)
Lesson 7
Download for free at openupresources.org.
2019 Open Up Resources |
Hanger Diagrams
Warm Up
What do you notice? What do you wonder?
balanced
unbalanced
In the two diagrams, all the triangles weigh the same and all the squares weigh the same.
For each diagram, come up with…
Let’s see how a balanced hanger is like an equation and how moving its weights is like solving an equation.
Today’s Goals
Hanger and
Equation Matching
Activity 1
On each balanced hanger, figures with the same letter have the same weight.
Begin with Quiet Work Time. (5-10 min.)
Share your thinking with a partner.
7 = 3w + 1
2z + 3 = 5
3x + 2 = 3
6 = 2y + 3
Use Hangers
to Understand
Equation Solving
Activity 2
Work on your own for �5-10 min.
Share your thinking as a team.
7 = 3x + 1
2y + 10 = 31
6.8 = 2z + 2.2
4w + 3/2 = 17/2
“Are you ready for more?”
When you have the time, visit the site https://solveme.edc.org/Mobiles.html to solve some trickier puzzles that use hanger diagrams like the ones in this lesson. You can even build new ones. (If you want to do this during class, check with your teacher first!)
Work with your team to draw a hanger diagram that corresponds with this equation:
4x + 6 = 9.2
After that, one partner should solve using the equation, and the other partner solves by reasoning with the diagram.
How was solving the equation and diagram alike and different?
Today’s Goals
Solve the Equation
Cool Down