1. Find the weight of the bears
Name
Date
Teacher

2. Goals/Outcomes
Determine how much the scale would read if all three bears were weighed at the same time.
Calculate how many kilograms each bear weighs.
Accurately explain how conclusions were drawn in solution process.

3. Rationale
Since we knew the mass of the bears in pairs, we were able to calculate individual weights by adding the weights of the 3 sets together.
We developed a system of equations for all 3 sets by labeling the bears by size.
The weight of the medium bear was found by and found the weight of the first.
Then we created an equation to solve for the large and small bears by writing new equations.

4. Solving Method #1 M + L = 10.6 kg 3.6 + L = 10.6 kg L = 7.0 kg
S + L = 8.5 kg
S + M = 6.1 kg
2S + 2M + 2L = 24.2 kg 2
S + M + L = 12.1 kg
(S + L) + M = 12.1 kg
8.5 + M = 12.1 kg
M =3.6 kg
M + L = 10.6 kg
3.6 + L = 10.6 kg
L = 7.0 kg
S + M = 6.1 kg
S = 6.1 kg
S = 2.5 kg

5. Solving Method #2 Small Bear Medium Large Weight (in kg) X 10.6 8.5
6.1

6. Solving Method #3
We developed a system of equations for all 3 sets by labeling the bears by size.
The weight of the medium bear was found by and found the weight of the first.
Then we created an equation to solve for the large and small bears by writing new equations.

7. Task Questions
Determine how much the scale would read if all three bears were weighed at the same time kg
Calculate how many kilograms each bear weighs. Small Bear = 2.5kg
Medium Bear = 3.6kg
Large Bear = 2.5kg

8. Real-World Connections
If I want to modify a recipe for 4 people to feed 24 people how can I change the recipe.
Determine mileage between cities and how much gas is needed.

9. Conclusions -What I learned?
I reviewed how to solve one and two step equations.
I also learned how to set up a system of equations.
I learned by using system of equations that I can find the values of two or more unknowns.
I also learned how to use multiple representations in problem situations.