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Open Up - Grade 7 - Mathematics - Unit 8 - Lesson 10

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Last updated 12 months ago
6 questions
1
5.OA.1
6.SP.5.c
7.SP.8.c
1
5.OA.1
6.SP.5.c
7.SP.8.c
1
5.OA.1
6.SP.5.c
7.SP.8.c
1
5.OA.1
6.SP.5.c
7.SP.8.c
1
5.OA.1
6.SP.5.c
7.SP.8.c
1
5.OA.1
6.SP.5.c
7.SP.8.c
Question 1
1.

A rare and delicate plant will only produce flowers from 10% of the seeds planted. To see if it is worth planting 5 seeds to see any flowers, the situation is going to be simulated.

Which of these options is the best simulation?

Question 2
2.

A rare and delicate plant will only produce flowers from 10% of the seeds planted. To see if it is worth planting 5 seeds to see any flowers, the situation is going to be simulated.

Which of these options is the best simulation?

Question 3
3.

The figure on the left is a trapezoidal prism. The figure on the right represents its base. Find the volume of this prism.

Question 4
4.

Jada and Elena learned that 8% of students have asthma. They want to know the probability that in a team of 4 students, at least one of them has asthma. To simulate this, they put 25 slips of paper in a bag. Two of the slips say “asthma.” Next, they take four papers out of the bag and record whether at least one of them says “asthma.” They repeat this process 15 times.
  • Jada says they could improve the accuracy of their simulation by using 100 slips of paper and marking 8 of them.
  • Elena says they could improve the accuracy of their simulation by conducting 30 trials instead of 15.
Do you agree with either of them?

Question 5
5.

Jada and Elena learned that 8% of students have asthma. They want to know the probability that in a team of 4 students, at least one of them has asthma. To simulate this, they put 25 slips of paper in a bag. Two of the slips say “asthma.” Next, they take four papers out of the bag and record whether at least one of them says “asthma.” They repeat this process 15 times.
  • Jada says they could improve the accuracy of their simulation by using 100 slips of paper and marking 8 of them.
  • Elena says they could improve the accuracy of their simulation by conducting 30 trials instead of 15.
Describe another method of simulating the same scenario.

Question 6
6.

Match each expression in the first list with an equivalent expression from the second list.

Draggable itemarrow_right_altCorresponding Item
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"Source: Open Up Resouces (Download for free at openupresources.org.)"
Roll a standard number cube 5 times. Each time a 6 appears, it represents a plant producing flowers. Repeat this process 30 times and count the fraction of times at least one number 6 appears.
Another plant can be genetically modified to produce flowers 10% of the time. Plant 30 groups of 5 seeds each and wait 6 months for the plants to grow and count the fraction of groups that produce flowers.
6(x-\frac{1}{3}y)
(8x+6y)+(2x+4y)
10(x-y)
8x-6y+2x-4y
10(x+y)
8x-6y-2x+4y
8x+6y+2x-4y
8x-(-6y-2x+4y)
8x-2x+6y-4y
(8x+6y)-(2x-4y)
8x+6y-2x+4y
(8x+6y)-(2x+4y)