Patterns
Han writes the letters a, b, c, d and then repeats them in that order, over and over.
What is the 5th letter Diego will type? What about the 10th? The 20th?
5th- a
10th- b
20th- d
Mai has a sheet of stickers with 23 rows and 8 stickers in each row.
Does Mai have more or less than 100 stickers? Explain your reasoning.
Mai has more than 100 stickers because 20x8 would only be 160 which is already more than 100.
If 5 pencils cost 95 cents, how much does each pencil cost? Explain or show your reasoning.
Each pencil costs 19 cents.
An author took a 4-hour airplane flight for a work trip. The plane flew 478miles each hour. How many miles did she travel?
1,912 miles traveled
What is Ms. DeWalt's favorite color?
Yellow
Here is a rectangle pattern. A side length grows by 3 inches each time.
What are the side lengths of each rectangle in the pattern?
If the pattern continues, could 30 inches be a side length of the rectangle?
What would be perimeter of the rectangle on the 10th step?
5 and 8
No it will skip right over 30.
Perimeter on the 10th step is 76 in.
7x573
4,011
Clare has 194 square tiles. Can Clare put all of her tiles in 6 rows with the same number of tiles in each row? Explain or show your reasoning.
No there will be a remainder.
The table shows the number of students who have different numbers of pets at a school. How many pets do all the students have together? Explain or show your reasoning.
1,965 pets.
How many pets does Ms. DeWalt have.
(extra points for what kind of pets)
3
2 cats and 1 dog
Mai follows a rule to build a pattern of square blocks. What might the next 2 shapes in Mai's pattern look like? Sketch the shapes or describe them.
Will Mai's pattern ever use 20 squares? Explain your reasoning.
It will not ever have 20 squares because all the shape make odd numbers and 20 is an even number.
Use the standard algorithm to solve:
4 x 3,516 =
14,064
A long, rectangular hallway is 8 feet wide and has an area of 368 square feet. How long is the hallway?
Write a multiplication equation and a division equation that represent the situation.
Find the length of the hallway. Explain or show your reasoning.
Multiplication Equation- 8 x ____ = 368 ft.
Division Equation- 368 -:- 8 =
The Hallway is 46 ft.
A builder is covering the floor of a rectangular room that is 23 feet by 25 feet with tiles that are 1 foot by 1 foot. The tiles are sold in boxes of 12. Diego says 59 boxes are needed to cover the floor, and that there will be a few leftover tiles.
Is Diego's answer reasonable? Explain or show your reasoning.
His answer is not reasonable because 59 boxes of 12 will be way too many. They will only need 48 boxes of tiles with only 1 tile left over.
How many years has Ms. DeWalt lived in Arizona?
21 years
Tyler draws this picture and writes the following equations:
1+3+5=9
How does the equation relate to the picture?
The picture contains 9 total dots and 1, 3, and 5, represent each of the shaded colors.
Use the method that works best for you to find the product.
47 x 62 =
2,914
Use partial quotients to find the value of 637 -:- 4 =
159 R1
The area of a rectangle is 720 square centimeters. One side is 6 centimeters longer than the other. What is the perimeter of the rectangle? Explain or show your reasoning.
One side is 24 cm and the other is 30 cm.
Perimeter- 108 cm
2013
A growing pattern of squares that makes rectangles is shown:
What would be the area and perimeter of steps 4 and 5?
Step 4 Area: 5
Step 4 Perimeter: 12
Step 5 Area: 6
Step 5 Perimeter: 14
There are 4,218 students in school district A. School district B has 3 times as many students as school district A. How many students are in school district B? Explain or show your reasoning.
12,654 students in school B
Because 4,218 x 3 = 12,654
There are 875 peaches at the orchard. Each box contains 9 peaches. How many boxes are needed for the peaches? Explain your reasoning.
98 boxes. One box will have less than the others (the remainder)
Tyler scored 126 points in 9 basketball games.
If Tyler scored the same number of points each game, how many points did he score in each game? Explain or show your reasoning.
Diego scored 5 more points than Tyler did in each game. How many points did Diego score in the 9 games? Explain or show your reasoning.
He scored 14 points per game.
Diego scored 171 points per game.
What seven Disney movies does Ms. DeWalt have tattooed on her?
Up, Lion King, Pirates of the Caribbean, Aladdin, Bugs Life, Moana, and Coco.