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M4.1 – Multiply whole numbers fluently up to 3 digits by 2 digits and divide numbers up to
4 digits by 1 digit and by 10 to solve problems. (N.FL.04.10, N.FL.04.11)
1. There are 365 days in one year. How many days are in 12 years?
2. Lansing has 25 elementary schools. There are 247 students in each school. How many
elementary students are there altogether in Lansing?
3. 256 students are going to the zoo. They have to be divided into groups so that each teacher has
one group. There are 8 teachers. How many students will be in each group?
4. A fruit farm packs oranges in boxes that hold 10 each. One day it packs 2650 oranges. How
many boxes did they use?
5. Julia has been collecting pennies since she was 3 years old. She used a machine at the bank to
count her pennies. She had 4,380 pennies. How many dimes would that be?
6. James thinks that the number 15 is a factor of 330. Determine whether he is correct.
7. 21 x 3 can be re-written as which of the following:
a.
b.
c.
d.
(20 x 1) + (3 x 1)
(21 x 3) + (1 x 3)
(20 x 3) + (1 x 3)
(21 x 20 x 3)
8. Estimate the answer to 34 x 27
9. Find the errors in each of these multiplication problems:
25
x73
75
175
250
25
x43
615
820
8815
10. You want to give your baseball cards to your 5 best friends. You have 455 baseball cards.
How many would each get, if you share them equally?
M4.2 – Solve contextual problems involving adding and subtracting fractions where one
denominator is a multiple of the other. (Students can use various representations to figure
these out.)
1. A cake recipe requires 1 2/3 cup of sugar for the frosting and 2/3 cup of sugar for the cake.
How much sugar is that altogether?
2. 1/10 of the M&M’s in a bag are red and 1/5 are blue. What fraction of all the M&M’s are red
and blue? What fraction of the M&M’s are NOT red or blue?
3. You give 1/3 of a pan of brownies to Susan and 1/6 of the pan of brownies to Patrick. How
much of the pan of brownies did you give away? How much do you have left?
4. You go out for a long walk. You walk 3/4 mile and then sit down to take a rest. Then you walk
3/8 of a mile. How far did you walk altogether? (segments on a number line)
5. Pam walks 7/8 of a mile to school. Paul walks 1/2 of a mile to school. How much farther does
Pam walk than Paul? (segments on a number line)
6. A school wants to make a new playground by cleaning up an abandoned lot that is shaped like
a rectangle. They give the job of planning the playground to a group of students. The students
decide to use 1/4 of the playground for a basketball court and 3/8 of the playground for a soccer
field. How much is left for the swings and play equipment? Draw a picture to show this.
7. Show how to add 5/8 + 1/4 on a number line or by using fraction strips.
8. Show how to subtract 1 1/2 – 3/4 on a number line or by using fraction strips.
9. Find the value of x: 1/8 + x = 5/8
10. Find the value of y: 3/4 - y = 1/2
M4.3 – Add and subtract decimals through hundredths.
There are additional questions in this group that probe students’ understanding of the concept of
decimals, because it is possible for students to learn to add and subtract them without
understanding what they mean (“Just line up the decimals and add as you would with whole
numbers.”)
1. You have a quarter in your pocket. Write how much that is worth in dollars, using the correct
symbols.
2. The distance from your house to school is 0.3 miles. How much is that as a fraction of a mile?
3. How can you write 1/4 as a decimal?
How can you write 3/10 as a decimal?
4. How much money is this in cents: $0.45
5. Which is larger, 0.8 or 0.45. Explain your answer.
6. Which point on the number line below best represents 1.75?
A
B
0
A
B
C
D
C
1
D
2
Point A
Point B
Point C
Point D
7. John needs $2.50. He has $0.75. How much more money does he need?
8. A swimmer is in a 100 meter race. She swims the first half of the race in 32.34 seconds and
the last half of the race in 34.83 seconds. How long did it take her to swim the whole race?
9. John walks 0.7 miles to school and Nina walks 0.4 miles to school. How much farther does
John walk than Nina?
10. One pencil weighs 28.3 grams. How much do 5 pencils weigh?
M4.4 – Understand and solve problems involving perimeter, area and surface area of basic
geometric shapes.
1. A sandbox for the playground was built from wood boards, in the shape of a rectangle. It has
sides of 10 feet and 12 feet. What total length of boards was needed to build the sandbox?
10 ft
12 ft
2. The playground planning committee needs to order sand for the sandbox. Sand comes in bags.
Each bag covers 2 square feet of the sandbox. Find the area of the sandbox and then determine
how many bags of sand are needed.
3. A house and garage are in the shape of a rectangle and a square. Find the total floor area of the
house and garage.
30 ft
16 ft
16 ft
4. A present is wrapped in a box like the one below. How much paper is needed to wrap it, in
square inches? The box is 14 inches long, 8 inches wide and 7 inches high.
14 in.
7 in.
8 in.
M4.5 – Recognize plane figures that have line symmetry and sketch flips, slides and turns
of two-dimensional figures. (G.TR.04.04, G.TR.04.05)
1. Which of these shapes has line symmetry? Show this by drawing the line of symmetry on the
figure, then circling the correct answer.
2. Which transformation has taken place to create figure B from figure A?
A. tessellation
B. copy
C. flip
D. slide
M4.6 – Use bar graphs and find the median and range of a set of data.
1. The number of points scored by a high school football team in 9 games is listed below. Find
the range of points scored and the median number of points. What does the median tell you?
GAME
1
2
3
4
5
6
7
8
9
POINTS
7
13
18
24
7
9
3
18
13
2. During July, the third and fourth graders kept track of the number of minutes they read each
week. Use this graph to figure out how many minutes total the third graders read in July.