Pencils are packed 10 in a box. A carton holds 10 boxes.
1. Jose has 1 carton and 4 boxes. How many pencils does Jose have all together?
2. Laura needs to pack 370 pencils. How many boxes does Laura need?
3. If Laura puts the boxes in cartons, how many cartons can she completely fill?
4. If Mrs. Acosta needs 10 pencils for each of her 26 students how many different combinations of boxes and cartons can she buy?
5. Mrs. Acosta finds that cartons are cheaper than boxes and asks you which combination she should purchase. What would you suggest? Why?
Write one number in each space to make the equation true. For each equation, draw a picture or write a sentence that tells how you know. Add additional pages as necessary.
Consider each equation and determine if you think it is true or false. If the equation is true, show why in at least two different ways. If it is false, show why it is false and what would be required to make the equation true.
4 + 5 = 9
12 - 5 = 9
7 = 3 + 4
8 + 2 = 10 + 4
7 + 4 = 15 – 4
8 = 8
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
How many ways can you add 7 and 8 by creating a group of 10?
Draw a picture for each solution.
Pick one of your solutions and write a story problem that could be used to model your solution.
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
Sara has 526 beads. How many hundreds, tens, and ones does she have?
If she gives 58 of her beads to Susan, how many hundreds, tens, and ones does Sara have left?
Explain your thinking and your solution.
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
Sophia has $3.50 and wants to buy 4 mini candy bars, 5 candy necklaces, and 2 gumballs.
1. Does Sophia have enough money to buy everything she wants?
2. If you think she does not, how much more money does she need? If you think she has enough money, how much change should she expect?
Be sure to show all calculations and to answer each question using a complete sentence.
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
1. Mrs. Becker’s has 22 students going on a field trip. If five children fit in each car, how many cars are needed?
2. Mr. Wall’s 16 students are going on the same fieldtrip. If seven children fit in each van, how many vans are needed?
3. How many more vehicles is Mrs. Becker’s class taking than Mr. Wall’s? How do you know?
Fresno County Office of Education • Larry Powell, Superintendent
Melinda Riccardi, Math on Call Program Producer, mriccardi@fcoe.org (559) 265-4044
1. Every house in a neighborhood has a number as part of its address. Using the digits 0-9, follow the clues below to find all possible house numbers.
The house number has three different digits.
The sum of the three digits is 6.
The number does not begin with 0.
What could the house number be? (List all possible numbers.)
2. How many house numbers can be formed if the problem is the same except that the three digits need not be different?
Consider each riddle. Answer each riddle using a complete sentence that tells what you think the plane figure is and why.
1. I am a quadrilateral with exactly one pair of opposite sides that are parallel. What am I?
2. I am a quadrilateral with both pairs of opposite sides parallel and four right angles. What am I?
3. I am a three sided figure with two sides congruent and one 90 degree angle. What am I?
4. I am a special rectangle with four congruent sides. What am I?
5. I am a quadrilateral listed above, but I am not a parallelogram. What am I?
1. A rectangle has an area of 96 square feet. One dimension is 24 feet. What is the other dimension?
2. Find the dimensions of three other rectangles that have an area of 96 square feet.
Show how you know.
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