Place Value
What is the largest number of base ten pieces that can be used for representing 21 flats, 11 rods, and 14 small squares? (Also need to know how to find the smallest number of pieces.)
Largest number of pieces: 2,224
Smallest number of pieces: 10
Solve the following problem in two different ways:
28 x 16
448
Compare the following fractions:
1. 4/5 and 5/6
2. 4/9 and 4/5
1. 5/6
2. 4/5
Kasey has 4/6 of a bag of candy and gives Danny half of the bag of candy. How much of a bag of candy does Kasey have left?
1/6 of a bag of candy is left
A teacher challenged her class to figure out how many ways the number 197.26 could be thought about. Following is one child's answer. Indicate whether the child's reasoning is correct or incorrect. If incorrect, fix and explain.
Austin: 197.26 could be thought about as 19 tens, 7 ones, and 26 tenths
Incorrect
Should have been 19 tens, 7 ones, and 2.6 tenths or 26 hundredths.
Below is a method for solving 713 – 485. Is the method correct? Why or why not?
485 + 15 = 500
500 + 200= 700
700 + 13= 713
The answer is 228
The answer is correct
If two trapezoids and one rhombus together is 2 2/3 show/draw a picture of 1 1/3.
One trapezoid and one triangle
Barry has 2/4 of a bag of candy and Pat has 1/3 of the same size bag of candy. Their father puts the amount of candy together. How much candy is there?
10/12 of a bag of candy
Rewrite 341.09 hundred dollars in at least four different ways
possible answers: 3.4109 ten thousand dollars, 34.109 thousand dollars, 341.09 hundred dollars, 3410.9 ten dollars, and 34109 one dollars
a) Write an equation for the following word problem and solve it in two different ways (one of which being with base ten blocks):
Sally has 26 blue books and 12 red books. How many books does Sally have?
b) Write a word problem for the equation below:
21 - x = 13
a) 26 + 12 = x (Put together total unknown)
b) Various answers
Lucy has 2 blue rhombi, 1 red trapezoid, and 1 green triangle. This is 4/3 of the amount that Charlie Brown has. What pattern blocks could Charlie Brown have?
6 triangles
I have 1 1/4 gallons of water. I pour the water into buckets that hold 5/8 of a gallon.
How many buckets can I fill completely? How many gallons of water will be left over?
Solve using a picture and write an equation to match the word problem.
2 full buckets and none leftover
0.99, 0, 1, 0.09, 0.9, 0.099
a. Place in order from smallest to largest
b. Precisely plot each number on a number line
c. Find another decimal between 0.9 and 1 and plot this on the number line
d. Represent each number using base ten blocks
a. 0, 0.09, 0.099, 0, 0.9, 0.99, 1
b. show visually
c. .94
For the following problem:
- Write a division equation to match the problem
- Write a missing factor multiplication equation to match the problem
- Solve the problem using base ten blocks
I have 15 cupcakes. If I share all of the cupcakes equally among 6 people, how many cupcakes will each person get?
13 ÷ 6 = ?
6 x ? = 13
Each person would get 2 1/2 cupcakes
Macie spends 3/7 of her take-home pay on her mortgage and property taxes. Out of the remaining money she spends 1/2 on food and 1/4 on clothes. From the money left over after these expenses, she puts 1/3 into savings. What fractional part of her take-home pay does Macie have left?
2/21 of take-home pay
Write a word problem for 2/3 (3/3) - 1/2 (2/3) and solve with a picture
Ex. Kate has 2/3 of a bag of candy and gives Pat half of her candy. How much of a bag of candy does Kate have left?
(1/3 of a bag of candy)