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Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 46
Standard: 4.NBT.6
Divide.
5,675 ÷ 5
1,230 ÷ 5
2,863 ÷ 5
Answers: 1,135; 246; 572r3
Day 47
Standard: 4.NBT.6
Solve the following division problems. Describe any patterns you see.
30/5
300/5
3,000/5
30,000/5
300,000/5
Answers: 6; 60; 600; 6,000; 60,000; each time the dividend increases by a power of 10 so does the
quotient.
Day 48
Standard: 4.NBT.6
How many yards are in 174 feet? Explain your answer.
Answer: 58 yards
Page 1
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 49
Standard: 4.NBT.6
Ms. Mehta pays Trinh, Bernardo, Dwight, and Cheryl $13 each week for walking her
dogs. This week she gives them a $10 bill and three $1 bills. How can they share the
money?
Possible Answers: They can change the $10 bill for ten $1 bills and change the $1 bill for four quarters.
Then each friend would get three $1 bills and a quarter.
Day 50
Standard: 4.NBT.6
A group of 46 people want to ride in vans to a sound and light show. Any people who
do not fit in the vans will take a train. The group has 6 vans that carry 7 people each.
How many people will ride the train? To find the answer, do you use the quotient, the
remainder, or do you increase the quotient to the next whole number? Explain.
Answers: 4 people will ride the train; you use the remainder
Day 51
Standard: 4.NBT.5 and 4.NBT.6
Solve each of the following problems.
a. 674 ÷ 4
c. 973 ÷ 5
b. 78 x 7 =
d. 34 x 54 =
Answers: a. 168r2; b. 546; c. 194r4; d. 1,836
Page 2
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 52
Standard: 4.NBT.5 and 4.NBT.6
Explain how to multiply and divide by powers of ten in your head. Use specific
examples in your explanation.
Possible Answers: If you multiply by 10 there is one zero at the end of the product, if you multiply by
100 there are two zeros at the end of the product, the pattern continues. If you divide by ten there is
one less zero at the end of the quotient, if you divide by 100 there are two less zeros, the pattern
continues.
Day 53
Standard: 4.OA.1and 4.OA.2
Mr. Canfield sells between 100 and 150 tickets to a charity dinner. Mrs. Nakagawa sells
three times as many tickets as Mr. Canfield sells. How many tickets could Mrs.
Nakagawa sell? How did you find your answer?
Answers: Multiply 100 x 3 = 300 and 150 x 3 = 450. Mrs. Nakagawa could sell between 300 and 450
tickets.
Day 54
Standard: 4.OA.1 and 4.OA.2
Together two DVD’s cost $32. One DVD costs $4 than the other. How much did each
DVD cost? Use comparison bars to help you.
Answer: One DVD cost $14 the other cost $18.
Page 3
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 55
Standard: 4.OA.2
Felix is drawing an animal. Its head is 1/3 as long as it’s body. Its tail is as long as it’s
head and body together. The total length of the animal is 40 centimeters. How long is
each part of the animal – the head, the body, and the tail? Use a drawing to help you
solve the problem.
Answer:
40 centimeters
5 cm
15 centimeters
20 centimeters
The tail measures 20 cm, the body 15 cm, and the head 5cm.
Day 56
Standard: 4.OA.3, 4.NBT.4, 4.NBT.5
Anwar sold tickets for a school fair. Adult tickets cost $8, and student tickets cost $5.
Anwar sold 12 tickets for $87. How many student tickets did he sell? Explain your
reasoning.
Answer: 3 student tickets
Day 57
Standard: 4.OA.3, 4.NBT.4, 4.NBT.5
Mr. Pena is buying some clothes to wear on a camping trip. He needs two shirts that
each cost $75, and boots that cost $55. How can you use mental math to find out how
much Mr. Pena’s new clothes will cost?
Possible Answers: Add $75 + $25 = $100, add $25 + $50 + $5 = $80, then add $100 + $80 = $180
Page 4
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 58
Standard: 4.OA.3
Only 1,500 people are allowed in an auditorium at one time. Exactly, 1,436 people
attend a band concert in the auditorium on Friday. The attendance at a band concert
in the auditorium on Saturday is 1,475. How many people in all attended the concerts
on Friday and Saturday? Was any information not needed?
Answer: 2,911 people; 1,500 people allowed in the auditorium was not needed
Day 59
Standard: 4.OA.3, 4.NBT.4,
The Yoo family’s entertainment center is in four sections that stand side by side. The
sections are two drawer units of the same size, a bookcase, and a TV cabinet. The TV
cabinet is as wide as the bookcase and the drawer units together. One drawer unit is
15 inches wide and ½ the width of the bookcase. How wide is the entire entertainment
center?
Answer: 120 inches or 10 feet
Day 60
Standard: 4.OA.3, 4.NBT.6
Mount McKinley in Alaska is the highest point in the United States. It was measured at
20,320 feet. This is four times higher than Mt. Nimble in the North Pole. How tall is Mt
Nimble?
Possible Answers: 5,080 feet
Page 5
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 61
Standard: 4.OA.3, 4.NBT.4, 4.NBT.5, 4.NBT.6
An 88-foot fence has a post every 8 feet and a post at each end. How many posts are
in the fence? Explain your answer.
Answer: 12 posts
Day 62
Standard: 4.OA.3, 4.NBT.4, 4.NBT.5, 4.NBT.6
Mr. Natori has 6 bags of books, with the same number of books in each bag. He gave
one of the bags to his daughter. Now he has 20 books left. How many books did Mr.
Natori start with? Explain your answer.
Answers: 24 books
Day 63
Standard: 4.OA.3, 4.NBT.4, 4.NBT.5, 4.NBT.6
Mrs. Dugan is making benches to sell. The benches either have 6 legs or 4 legs. She
uses 38 legs to make 8 benches. How many of each kind does she make? Explain your
answer.
Answer: 3 benches with 6 legs and 5 benches with 4 legs
Day 64
Standard: 4.OA.3, 4.NBT.4, 4.NBT.5, 4.NBT.6
Students are raising money for a trip to the state capital. They raised $546 during a work
week. They had raised $179 before the work week. Now they only have to raise $180.
About how much do they need for the trip? Explain your answer.
Answer: about $900
Page 6
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 65
Standard: 4.OA.3
Three groups want to make reservations on a plane that can hold 335 passengers. The
groups are 118 people going to a convention, 75 people who won a free trip and 144
people from a cancelled flight. Can all these people fit on the plane? Do you need
and exact or an estimated answer? Explain.
Answer: No, there are 337 people so two people will not fit. You need an exact answer.
Day 66
Standard: 4.G.1
Have students write large upper-case letters that include an angle – for example, A, K,
L, M, V, T, and so on. Ask students to name the angles in the letters.
Possible Answers: A- acute and obtuse angles, K – acute and obtuse angles, L – right angle, M – acute
angles, V – acute angle, T – right angles
Day 67
Standard: 4.G.1
Find, describe, and sketch three angles in your classroom that are not right angles.
Possible Answers: accept any description that is visible and not a right angle
Day 68
Standard: 4.G.1
Use sometimes, always, or never to complete these sentences:
1. If a parallelogram has two sets of parallel sides, then triangles are ___________
parallelograms.
2. If two equilateral triangles share one side, they __________________ form a
rhombus.
Answer: 1. Never; 2. Always
Page 7
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 69
Standard: 4.MD.5
An angle measures 130 degrees. How many five-degree angles could you create within
this angle?
Possible Answers: 130/ 5= 26 five degree angles are within 130 degrees
Day 70
Standard: 4.MD.5
Martin says that an angle that turns through ¼ of a circle that is 10 inches across is
bigger than an angle that turns through ¼ of a circle that is 5 inches across. Is Martin
correct? Explain your answer.
Possible Answers: Martin is NOT correct. Any circle, no matter the size, has the same amount of
degrees and so a ¼ turn on a circle that is 5 inches would be exactly the same as a ¼ turn on a circle
that is 10 inches.
Day 71
Standard: 4.MD.5
Read aloud Sir Circumference and the First Round Table by Cindy Neuschwander.
Discuss the idea of circles being composed of multiple angles.
Possible Answers: Discussion
Day 72
Standard: 4.MD.5
Use diagrams, vocabulary, and reasoning to explain what an angle is.
Possible Answer: An angle is a figure formed by two rays or line segments that share one end point.
Students should have drawings to help explain this idea.
Page 8
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 73
Standard: 4.MD.6
Use this data to divide a circle into parts showing a class’s preferences for pets. Don’t
forget to give your diagram a title.
½ of the class prefer dogs
1/8 of the class prefer hamsters
¼ of the class prefer cats
1/8 of the class prefer birds
Possible Answer:
Day 74
Standard: 4.G.1 and 4.MD.6
Identify the following figures and explain how they are alike and how they are different.
Possible Answer: The first figure is a line, it continues in both directions forever; the second figure is a
ray, it has one endpoint and continues forever on only one direction; the third figure is a line segment,
it has two endpoints and does not continue in either direction. They are all alike because they are
two-dimensional figures.
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Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 75
Standard: 4.MD.6
Draw and label an acute, an obtuse, and a right angle.
Answer:
Right
acute
Obtuse
Day 76
Standard: 4.MD.6
Sketch and, using your protractor, measure three different angles.
Answer: Students accuracy should be checked as they work.
Day 77
Standard: 4.MD.7
A Ferris wheel rotates 40 degrees each time it stops to let passengers on and off. How
many times does it stop in a full 360 degree rotation?
Answer: If the Ferris wheel stops every 40 degrees, it would stop 9 times in a full rotation.
Day 78
Standard: 4.MD.7
A lawn sprinkler rotates 30° every 10 minutes. How long will it take the sprinkler to make
a full circle or a 360° rotation? Explain your answer.
Answer: It will take the sprinkler 120 minutes or 2 hours.
Page 10
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 79
Standard: 4.MD.7
Define and draw an example of both complementary and supplementary angles.
Possible Answers: Complementary angles add together to make an angle that measures 90°.
Supplementary angles add together to make an angle the measures 180°.
Day 80
Standard: 4.MD.7
Three angles are complimentary (they measure 90° when added together). One of the
angles measures 40 degrees and the other two angles are equal to each other. What
is the measurement of each angle? Use a picture to explain your reasoning.
Answer: The angles measure 40°, 25°, and 25°
Day 81
Standard: 4.MD.7
90°
35°
b°
Find the measurement of angle b.
Answer: 35 + 90 + b = 180, therefore b = 55°
Page 11
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 82
Standard: 4.G.2
Draw a regular trapezoid, a parallelogram, a rhombus, a rectangle, and a square.
Explain what makes them similar. Identify the shapes that have perpendicular lines.
Possible Answer: They are similar because they are all quadrilaterals (have four sides). The square
and the rectangle have perpendicular lines.
Trapezoid
parallelogram
square
rhombus
rectangle
Day 83
Standard: 4.G.2
How many triangles can you make by drawing diagonals inside a regular hexagon. Use
a drawing to explain your answer.
Answer: Six triangles can be drawn inside a regular hexagon.
Day 84
Standard: 4.G.2
Draw a figure that has exactly one right angle and two parallel sides.
Answer: a right trapezoid
Page 12
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 85
Standard: 4.G.2
Use the words sometimes, always or, never to complete the following sentences.
1. If all isosceles triangles have at least two equal sides, then equilateral triangles
are _______________ isosceles triangles.
2. If all squares have four equal sides and four equal angles, then rhombuses
are_______________ squares.
Answer: 1. Always, 2. Never
Day 86
Standard: 4.G.3
Which figure below has a greater number of lines of symmetry? How do you know?
Answer: Circle. It has an infinite number of lines of symmetry. Trapezoid has 1 line of symmetry and
hexagon has 6.
Day 87
Standard: 4.G.3
Use the words always, sometimes, and never to complete the following sentences.
1. If you draw one diagonal line from one corner to another in a rectangle, you will
___________________ form two triangles.
2. You can _____________________ draw three lines of symmetry in an isosceles
triangle.
Answer: 1. Always, 2. Never
Page 13
Fourth Grade Mathematics Daily Routines
Quarter 2 - Problem of the Day
Day 88
Standard: 4.G.3
Draw figures that meet the following requirements:
1. 6 lines of symmetry
2. 3 sides and one line of symmetry
3. No lines of symmetry
Possible Answers: 1. A regular hexagon; 2. An Isosceles triangle; 3. Any shape not symmetrical
Day 89
Standard: 4.MD.3
Draw two rectangles with the same area but different perimeters.
Possible Answers:
A = 4 square units
A = 4 square units
P = 10 units
P = 8 units
Day 90
Standard: 4.MD.3
A rectangle has a perimeter of 20 cm. One side of the rectangle is 6 cm long. What
are the lengths of the other three sides of the rectangle? Explain your answer.
Answer: Two sides are 6 cm long and two sides are 4 cm long.
Page 14