The Franklin Institute's Resources for Science Learning x
Home (Main Navigation - Resources for Science Learning @ The Franklin Institute)For Learners (Main Navigation - Resources for Science Learning @ The Franklin Institute)For Educators (Main Navigation - Resources for Science Learning @ The Franklin Institute)Leadership (Main Navigation - Resources for Science Learning @ The Franklin Institute)Partnership (Main Navigation - Resources for Science Learning @ The Franklin Institute)About Us (Main Navigation - Resources for Science Learning @ The Franklin Institute)

December Solutions

Number Theory | Measurement | Geometry |
Patterns, Algebra, and Functions | Data, Statistics, and Probability |
Grab Bag

Remember: These are open-ended problems. There could be other solutions than the ones we are giving.

Number Theory

1. Each family brought 6 chairs.

2. 37, 39, 41, 43

3. 400/35 = 11 times

4. Orange = 10 dogs, yellow = 8, green =8, red = 6, blue = 7, purple = 9

5. Sam should go with CheapWheels. The difference increases with mileage.


Measurement

6. The area of the den is double that of the kitchen so the cost should double.

7. Square E - If B is 5 by 5, and F is 4 by 4, then E is 1 by 1.
Square D - If B is 5 by 5 and E is 1 by 1, then C is 6 by 6 and D is C + E.
D = 7 by 7 = 49 square units

8. L x W x H = V
5 x 4 x H = 60
H = 60/20 H = 3 so each square is 3 x 3. Original dimensions are l = 11 and w= 10 so original area is 110 cm squared.


Geometry

9. Answers will vary.

10. Several possible answers.

11. In order to do this problem, you need to divide the shape into smaller shapes. You will have a large rectangle 35 x 26; a rectangle 35 x 4; 2 rectangles 4 x 26 and 2 right triangles 4 x 26. The total area is 1570 cm squared.


Patterns, Algebra, And Functions

12. Tuesday of next week.

13. 210 blocks

14. 3 outstanding days


Data, Statistics, And Probability

15. Check graphs. Gum is 1/4 of the circle, Plain is about 1/3, Chocolate is a little more than 1/3 and Cookies are what is left.

16. Mean = 79.3; Median = 92.  Decide if student's logic makes sense but should reflect the idea that all of Samantha's grades were terrific except 1. Therefore, that grade should not count as heavily.

17. Two


Grab Bag

18. Answers will vary. Check diagrams.

HOW DID YOU DO?

 

December Problems

Back to Open-Ended Math Index