Fresh watermelon contains 99% water by weight. 300 pounds of watermelon are placed in storage, but by the time they are brought to market, it is found that they contain only 98% water by weight. How much do these dried-up watermelon weigh?
Show your solution in at least two different ways (equations, graph, words, diagram, etc.)
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
1. Study or build the tile pattern. On graph paper, draw figures 0, 4, and 5.
2. Use an input/output table to represent the number of tiles in each figure.
3. Use your table to graph the pattern.
4. Write a general rule that would allow you to find the number of tiles for any figure number. Write a few sentences describing how the equation relates to the physical pattern.
A solution is 99% water and 1% solid. What fraction of the water must evaporate for the solution to become 98% water?
Explain your reasoning and solution in 1 - 2 paragraphs. Be sure to include your strategies and procedures for solving this POW. What was your plan for solving this problem? Did you run into problems? How did your thinking or approach change as you worked on the problem? Explain your solution so that a fifth grade student might be able to understand and apply your method.
Fresno County Office of Education • Larry Powell, Superintendent
If the diagonal, d, has a length of √3 meters, what is the surface area of this cube? Show all drawings and sub problems used to arrive at the solution. Be sure to answer the question using a complete sentence.
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
A science class built some solar-powered robots. Students raced the robots in the parking lot of the school. The graphs show the distance d, in meters, that each of three robots traveled after t seconds.
1. What does the point tell you about how far that robot has traveled?
2. Carla said that the ratio between the number of seconds each robot travels and the number of meters it has traveled is constant. Is she correct? Explain.
3. How fast is each robot traveling? How can you see this in the graph?
4. What rate is each robot traveling in kilometers per hour?
In the fraction x^5/3^x (x to the fifth power divided by three raised to the power of x) , x is an integer greater than 4 and the entire fraction is equal to a positive integer. What is the value of x?
**Be sure to show all steps and thinking used to solve.
Fresno County Office of Education • Larry Powell, Superintendent
Carl Veater, Math on Call Program Producer, cveater@fcoe.org, (559) 265-3065
Susie has red, blue, and green beads; 2/5of her beads are red. The fraction of blue beads is equal to the fraction of red beads squared plus1/4. If there are 200 beads all together how many of them are green?
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
Damian wants to build a tree house to enjoy on his summer break. His dad has some extra pieces of plywood that are 24 in. by 96 in. If Damian wants the inside floor of his tree house to be 5ft by 9ft and the height to be at least 5ft. tall, how many pieces of plywood will he need?
Be sure to show all calculations and thinking used to justify your conclusion.
Fresno County Office of Education • Larry Powell, Superintendent
Maria and Adam love to snow board. They are about to go down their favorite hills. The hill Maria skis can be represented by the following ordered pairs (2,4), (0, 0), (3, 9), (1,1). Adam’s hill can be represented by the following ordered pairs (1, 0.5), (2,2), (4, 8), (0,0).
Write a paragraph that describes each of their hills. In your paragraph answer the following questions: What function could be written for each of their hills? Who is the better snow boarder and why?
Which of these cars would go farthest on a full tank of gas in the city and which car would go farthest on the highway? The Dodge Challenger has a tank capacity that is 1/2 gallon more than the Chevrolet Corvette. The Ford Mustang has a tank capacity that is 2 gallons less than the Chevrolet Corvette. The sum of all the tanks capacities is 52 1/2 gallons. Show all calculations and steps taken to solve the problem. Attach additional pages as necessary.
Fresno County Office of Education • Larry Powell, Superintendent
