The students in Roberto’s class are growing wheatgrass seedlings in different conditions for a science project. Roberto noticed that Patricia’s seedlings are 1 1/2 times a tall as his own. He also notices that Cody’s seedlings are 3/4 as tall as his own.
1. Which of the seedling cups must belong to each student? Explain your reasoning.
2. Roberto’s seedlings are 8 inches tall. Find the height in inches of the wheatgrass in the other two cups. Solve the problem in at least two ways.
Fresno County Office of Education • Larry Powell, Superintendent
Your classmate Evelyn says,
When you multiply by a number, you will always get a result larger than the number you start with. Look, I can show you.
Start with 7.
Multiply by 5. 7×5=35
The answer is 35, and 35 >7
35 is bigger than 7.
It even works for fractions.
Start with 1/2.
Multiply by 4. 1/2 × 4 = 2
The answer is 2, and 2 > 1/2
2 is bigger than 1/2.
Do you agree with Evelyn? Why or why not? For what numbers will Evelyn's rule work? For what numbers will Evelyn's rule not work? Explain and give examples.
Attach additional pages as necessary.
1. A student claims that 4/5 is closer to one than 5/4, do you agree? Explain why or why not using a number line.
2. Find four fractions equivalent to the number five. Use a number line to explain why they are equivalent.
Fresno County Office of Education • Larry Powell, Superintendent
Carl Veater, Math on Call Program Producer, cveater@fcoe.org, (559) 265-3065
Fax: (559) 265-3041
1. Create a number line and use it to demonstrate why -6 -4 = -10.
2. On the same number line show why 2(-4) = -8.
Explain your process completely.
Fresno County Office of Education • Larry Powell, Superintendent
Carl Veater, Math on Call Program Producer, cveater@fcoe.org, (559)265-3065
Fax: (559) 265-3041
2011-2012
Susie has 200 beads and 120 of them are red. What percent of her beads are red and what percent are not red?
Pam is going to give Susie some of her green beads, how many green beads would she have to give Suzie so that she would have 40% red beads?
Fresno County Office of Education • Larry Powell, Superintendent
Melinda Riccardi, Math on Call Program Producer, mriccardi@fcoe.org (559) 265-4044
Fax: (559) 265-3041
If a dart is thrown at the following tangram dartboard and we assume the dart lands at random on the board, what is the probability of the dart landing in each of the identified areas?
1. Area A 2. Area B 3. Area C
Be sure to show all thinking used to solve each part of the problem.
Fresno County Office of Education, Larry Powell, Superintendent
Melinda Riccardi, Math on Call Program Producer, mriccardi@fcoe.org
(559) 265-4044 FAX: (559) 265-3041
2010-2011
Xavier wants to join a basketball league this summer. There are three different teams that have openings. Xavier was able to collect data for the last five games that each of the teams played and organize it in a table.
1. If Xavier uses the mean to rank the teams, which team will he join?
2. If he uses the median to rank the teams, which team will he join?
3. If you are the coach of the Stars team, what kind of data would you use to get Xavier to join your team? Why?
4. Represent this data in your choice of a type of a graph.
You are given two quarters and a six-sided number cube labeled 1-6. You are then asked to flip the first quarter, roll the number cube, and then flip the second quarter.
A. Make a tree diagram, table, or list of all the possible outcomes below.
B. How many possible outcomes are there? What is the probability of flipping heads and tails (or tails and heads) and rolling a number greater than 3?
Fresno County Office of Education • Larry Powell, Superintendent
In ▲ABC, line segment DE is parallel to line segment AB, and line segment DF is parallel to line segment AC. If the measure of angle C is 70◦, and the measure of angle B is 45◦, find the measures of the angles labeled 1, 2, 3, 4, and 5. For each angle, be sure to show all calculations and to justify how you know.
Fresno County Office of Education • Larry Powell, Superintendent
Melinda Riccardi, Math on Call Program Producer, mriccardi@fcoe.org (559) 265-4044
Each adult on an airplane carries 73 pounds of luggage. Each child carries 32 pounds of luggage. There are 84 passengers on the flight, and twelve of them are children. The weight capacity of the luggage compartment is 10,000 pounds. How many pounds of luggage capacity are unused? How many more adults could this flight hold before the luggage capacity was filled? How many more children?
Show all calculations and answer each question using a complete sentence.
