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October 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. He will use the coupon and pay $.35 each. That would be $4.20 - $1 = $3.20 instead of $3.99.

2. Sara is right because there are more possibilities of getting an even number answer.

3. They bought curtain rods, bath mat, slacks, and a drill.

4. 36 ways

5. Use the formula d = r t. The rate is 5.4 km/hr. Students should draw a diagram first to help.


Measurement

6. 145 ft, 10 in.  Students need to remember to change feet to yards.

7. 24 cm by 36 cm. To get 4 times the area you need to double each dimension.

8. 20.57 feet or 20 ft 7 in.


Geometry

9. 7 m by 1 m

10. Answers will vary depending on which shapes they choose.

11. They need to remember that the sum of the measures of the angles in a triangle is 180 degrees and that the sum of the angles of a quadrilateral is 360 degrees. Angle A = 125 degrees.


Patterns, Algebra, And Functions

12. Check chart for pattern. There are 11 possible pizzas.

13. 36 children. Use a tree diagram.

14. z + 1/2 z + ( z + 1/2 z) + 3 z = 888
6 z = 888
z = 148
Zemo travels 148 space miles, Orb travels 72 space miles, Yuko travels 222, and Sam goes 444.


Data, Statistics, And Probability

15. All heads; all tails; 1 head, 3 tails; 2 heads, 2 tails; 1 tail, 3 heads; the probability of 2 heads and 2 tails = 1/5 or 20%

16. There are 60 possibilities. Bar Graph-possible scale is to count by 2's or 5's. Same for Line Graph. Check for labels, title, and spacing. To make the Circle Graph, children need to make ratios.

  • Doritos = 20/60 = 1/3
  • Popcorn = 15/60 = 1/4
  • Candy = 12/60 = 1/5
  • Chips = 10/60 = 1/6
  • Pretzels = 3/60 = 1/20

When they make the circle graph, they can use central angles or they can estimate. That is up to the teacher.

17. 2


Grab Bag

18. Answers will vary. Check diagrams.

HOW DID YOU DO?

 

October Problems

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