Numerical Expressions & Coordinate Planes
Decimals
Fractions
Line Plots & Volume & Area
Other
100
Evaluate the expression. 32 ÷ [8 + (15 - 9) ÷ 2 + 5. SHOW YOUR WORK.
2
100
Alejandro rounded the number 76.518 to 76.5. Jiro rounded the same number 76.52. Who is correct? Explain your reasoning.
They both are! Depending on what number you round to you would get either number.
100
Draw a model to represent ¾ x 2/5. Solve as well.
3/10, model will vary.
100
Keiko built the solid figure shown below. Each unit cube is 1 cubic inch. What is the volume of the solid figure? Look at your answer document for the figure.
15 cubic units
100
Make a flowchart with the following shapes: Rhombus, Quadrilateral, Rectangle, Trapezoid, Square, and Parallelogram.
Quadrilateral-> Trapezoid-> Parallelogram-> Rhombus/Rectangle->Square
200
The table shows the number of months of cell phone use and the total cost. What is the rule for the cell phone use? What is the rule for the total cost? What is the relationship between the number of months and the total cost? Cell Phone Use (in months) 3 6 9 12 Total Cost (in dollars) $120 $240 $360 $480
Cell phone use: Add 3 Total Cost: Add $120 Relationship: Cell phone use times 40
200
Solve. 7.23 x 4.6
33.258
200
Mr. Graham buys clay for the art class in 25-pound blocks. He gave out a total of 15 pounds of clay to a class of students for a project. Each student got 1/2 pound of clay. How many students are in the class?
30 students.
200
What is a unit cube? What is the volume of any unit cube?
A cube with all side lengths of 1 cubic unit. The volume is 1 cubic unit.
200
Cody made two figures out of clay. He used the whole block. The volume of the two figures is 360 cubic centimeters. What could be the dimensions of the block of clay?
Answers will vary.
300
Juan added a set of parentheses and a set of brackets in the expression below. Juan's expression has a value of 40. 15 ÷ 3 x 5 + 4 x 8
[15 ÷ (3 x 5) + 4] x 8
300
Emilio bought cheddar cheese and Swiss cheese to make grilled cheese sandwiches. The cheddar cheese weighed 4.56 pounds. The Swiss cheese weighed 2.79 pounds. How many more pounds did the cheddar cheese weigh than the Swiss cheese? How much cheese did he get altogether?
Cheddar cheese weighed 1.77 pounds more than the Swiss cheese. The cheese weighed 7.35 pounds altogether.
300
Kyle has 2/3 of a carton of eggs. He uses ½ of the eggs that are left. Draw a model to represent the problem. Write and solve an equation for the model.
2/3 x 1/2= 1/3 of the left over eggs. Model will vary.
300
Adam stacked some wooden boards into piles. Each board has the same dimension. What is the volume of one wooden board, and what is the volume if Adam stacked 4 boards? Look on your answer document for the image of the board.
168 cubic inches, and 672 cubic inches.
300
Mr. Wu wants to put strings of lights on his patio. He needs 12 meters of lights in all. He can buy strings of lights in these packages: 225-centimeter string or 275-centimeter string. Mr. Wu wants to get as close to 12 meters as he can without going over. Which package should he buy and how much of that package should he buy?
225-centimeter string package, need to buy 5 of them.
400
What is the coordinate pair of the point and describe how you would have plotted it. (Look on answer document for coordinate plane.)
(1, 3) You go over one on the x-axis, along the bottom. Then you go up three on the y-axis, along the side. Where the two points meet you put your point.
400
Explain the relationship between the two 5's and the two 7's in the number 455.727.
The 5 in the ones place is 1/10 the size of the 5 in the tens place, or the 5 in the tens place is 10 times the size of the 5 in the ones place. The 7 in the tenths place is 100 times the 7 in the thousandths place, or the 7 in the thousandths place is 1/100 the size of the 7 in the tenths place.
400
Five friends picked 7 pounds of apples. They will share the apples equally. Write and solve an equation to represent the problem. How much does each friend get?
7 ÷ 5= 1 2/5 of the apples.
400
Michaela sold bags of sweet potatoes at a farmer's market. She recorded the weights of the bags she sold on the line plot. What is total amount of weight of all the bags? Use the line plot on your answer document.
17 pounds.
400
Dom says that all squares have 4 right angles and 4 congruent sides. A rhombus has 4 congruent sides, so a rhombus is a square. Is he correct? Dom also drew a figure with 4 sides. It has 2 pairs of parallel and congruent sides. List all of the figures he could have drawn.
No a square is rhombus but a rhombus is not always a square. Rhombus doesn't have to have 4 right angles and a square does. Parallelogram, rhombus, rectangle, or square.
500
After school, Kerry rides her bike to the library. She checks out a book and then rides her bike to Monica's house. The girls do some homework and then decide to walk to the park. Describe the path that Kerry took to get to each location using North, South, East, and West. (Look on answer document for coordinate plane.)
School to Library: 2 west, 5 north Library to Monica's House: 4 west, 2 south Monica's House to the park: 1 east, 2 south
500
Solve 64.94 ÷ 8.5. Then EXPLAIN the steps.
7.64. First you have to move the decimal back one place in the dividend and divisor, these means you multiply both numbers by 10. Then you bring the decimal up to the quotient line. and see how many times 85 goes into 649. Then you continue dividing like normal.
500
Jake's ride home from band camp takes 4 1/2 hours. Lela's ride home is 1 1/3 times as long as Jake's ride home. Amy's ride home is 3/4 as long as Jake's ride home. Calculate how long each ride took, and put them in order from longest ride to shortest ride.
Lela's is the longest ride: 6 hours Jake's is the middle ride: 4 1/2 Amy's is the shortest ride: 3 3/8
500
Mr. Collins replaced a section of a sidewalk at the corner of his house. He needed to find the volume of concrete he would use. He calculated the volume by finding the volume of the two sections labeled A and B. What is the total volume of the sidewalk? (Look at picture on answer document).
17856 cubic inches.
500
Melina wants to sew a boarder of 3 yards long for a quilt. She has 4 pieces of purple ribbon, each are 2 feet long. Does she have enough ribbon for the boarder? If yes, how much does she have left over, if not, how much more does she need?
No she needs 1 more foot.
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