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Reasoning
Place Value
Add & Subtract
Thinking Strategies
Other
100
What does it mean to clearly communicate your reasoning.
What is... to give a reason for your thinking and explain in numbers, words, or models so that others can understand why you think the way you do.
100
What is the least value of the number: 1,034.089? How do you know?
What is 0.009? nine thousandths Nine is in the thousandths place and each place value to the left of the decimal is 1/10 times as great.
100
12.87 + 0.78 =
What is 13.65?
100
This thinking strategy requires you to use information that you have already learned.
What is drawing on (using) background knowledge?
100
Round 5.098 to the nearest hundredth.
What is 5.1?
200
Explain how you would round 49.85 to the nearest whole number.
What is.... 8 is in the tenths place, so you would round the greater place value up to a higher value. Since it is 9, it too would need to be rounded up, so the tens place would increase in value as well (50).
200
Compare. Which is greater? 0.309 or 0.39 How do you know?
What is 0.39? Nine is greater than 0 in the hundredths place.
200
4.702 - 3.89 =
What is 0.812?
200
This thinking strategy requires you to read carefully, determine the situation, and figure out the possible operation to use to solve a problem.
What is monitor for meaning or determine importance?
200
Round 34.529 to the nearest whole number, tenth, and hundredth place.
What is: 35 34.5 34.53?
300
How do you argue that one hundredth is a smaller value than one tenth?
What is 1/10 is equal to 0.1 and tenths in unit fractions are larger pieces than hundredths, so one tenth is a larger value than one hundredth.
300
Find a number in the thousandths place between 67.076 and 67.08
What is 67.077, 67.078, 67.079
300
23.09 - 7.53 =
What is 15.56??
300
This thinking strategy helps you comprehend mathematical information.
What is asking questions?
300
Estimate the difference $288.69 - $89.10
What is $200?
400
Randy caught a fish that weighed 3.73 kg and his brother caught a fish that weighed 5.08 kg. About how many kilograms of fish did the boys catch? How do you know your total is reasonable? What is the actual total?
What is 9 kilograms? 3.73 kg is closer to 4 kg and 5.08 kg is closer to 5 kg (4 and 5 total 9 kg). 8.81 kg total
400
Show 386.407 in expanded form. Say the number aloud in word for first.
What is 300 + 80 + 6 + 0.4 + 0.007
400
Estimate the total. Find the actual total and compare the difference. 554.09 + 36.99
What is 587 or 590? 591.08 1.08 or 4.08
400
This thinking strategy helps you visualize by making a picture in your mind.
What is making mental models?
400
How do the values of the digit 3 in the number 333.333 change for each place value?
What is.... As the place value moves left one place, the number increase in value 10 times (3 x 10 = 30)
500
Write a number in which the digit 5 is one tenth the value of the digit 5 in 9.254. Explain your reasoning.
What is 0.005? Value decreases (divide by 10 or multiply by 1/10)
500
Which is great, the value of the digit 8 in 7.819 or the value of the digit 8 in 208? Explain.
What is 208 (ones place)?
500
How can you use the Associative Property to add mentally? 2.4 + 15.78 + 2.6
What is :group (2.6 + 2.4) to mentally add to 5. Use mental math to add 5 to 15.78 = 20.78
500
These thinking strategies help you use information given and what you already know and then reflect on the process of learning.
What are inferring and synthesizing?
500
Show 98.704 in expanded form using powers of ten. Say the number in word form.
What is (9 x 10) + (8 x 1) + (7 x 1/10) + (4 x 1/1000)? Ninety-eight and seven hundred four thousandths