Math Assigment
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Week12-AssigmentA.docxWeek 12, Assignment A
Building Your Own Content Knowledge of Place Value
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Many of us did not learn place value in ways that promoted a deep understanding. This assignment takes you through a progression of K-5 place value activities in order for you to develop your own content knowledge of place value. |
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Understanding our Base 10 Number System.
Watch this video and respond to the questions below.
1. Our number system is based on _ digits, which are___________. This is why we call it “Base-10”.
2. In our Base-10 number system, what happens when you get more than 9 of an object?
b.
1. What happens when both the ones place and tens place are maxed out with 9s?
c.
1. As you move to the left on the place value chart (like from ones to tens), each place represents groups that are _________ bigger than the place to it’s right.
1. Commas are used in every ____ places to make them easier to understand.
1. Each digit can stand for a different _____ based on its location in the place value chart. (Example: 3 in the 10s place has a value of 30 but a 3 in the hundreds place has a value of 300.)
1. What is the role of the 0 in our place value system?
g.
1. Write these numbers in expanded from:
h. 467
h. 904
h. 1,002
1. Extending your thinking:
i. Compare the values of the 5 in the numbers 50 and 5. Use place value to explain how you know. Hint: How many times is 5 in 50?
i.
1. Compare the numbers 500 and 5. Use place value to explain how you know. Hint: How many times is 5 is 500?
ii.
Thinking beyond naming the place.
Use your knowledge of place value to solve each of the riddles.
1. Jose has 22 crayons. How many boxes of 10 crayons could Jose create? ____ *Hint: How many groups of 10 are in 22?
2. Jose has 72 crayons. How many boxes of 10 crayons could Jose create? ____ *Hint: How many groups of 10 are in 72?
3. Jose has 172 crayons. How many boxes of 10 crayons could Jose create? _____ *Hint: How many groups of 10 are in 172?
4. Jose has 272 crayons. How many boxes of 10 crayons could Jose create? _____ *Hint: How many groups of 10 are in 272?
5. Jose has 2,172 crayons. How many boxes of 10 crayons could Jose create? _____ *Hint: How many groups of 10 are in 2,172?
Why Teach Place Value Before Multi-digit Addition & Subtraction?
Watch this video and respond to the following question:
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Why should we teach place value before moving into helping kids understand addition and subtraction? (Your response should be detailed, provide references to the video, and include your own insight.)
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Flexible Groupings
In the section above, we looked at ways to regroup multi-digit numbers to easily subtract. In this section, we continue to explore ways to flexibly group numbers. Being able to think flexibly about numbers in this way will help students be successful when adding and subtracting multi-digit numbers.
Use the virtual manipulatives to help you fill in the charts below. As you regroup your numbers in different ways you should take a screenshot to show your solutions in the chart below. An example has been done for you. If you need additional support, watch this video.
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Example: Regroup 26 as many ways as you can into rods and little cubes. Label your regroupings.
2 tens and 6 ones 1 ten and 16 ones 26 ones |
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A. Regroup 43 as many ways as you can into rods and little cubes. Label your regroupings.
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B. Regroup 135 in 5 ways. You can use flats, rods, and/or little cubes. Label your regroupings.
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C. Regroup 100 in at least 5 ways. You can use flats, rods, and/or little cubes. Label your regroupings.
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EXTENDING YOUR THINKING: D. Solve 100 - 29 using the standard algorithm. (You know...like borrowing). How does your work with the standard algorithm connect with flexible grouping?
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Extending your thinking to Decimal Place Value
Watch this video and respond to the questions below.
1. Decimals places are a way of extending the Base 10 number system so that it can represent amounts that are ______________ whole amounts.
2. Instead of using them to count groups, decimal places are used to count __________.
3. When we add place values to the left, they are worth 10 times more than the value to their ____.
4. The decimal point is a ________ that is used to separate the whole numbers from the decimals.
5. Each time we move to the left, each place is ________ bigger.
6. Each time we move to the right, each place is ___________ smaller.
7. The place value to the right of the decimal is called a _________. This is the amount you get if you take a whole and divide it into ___ equal parts.
8. In terms of apples, what does 1.7 mean? In other words, what would the drawing of apples and apple parts look like?
h.
1. Why is this place value to the right of the tenths place called a hundredth?
i.
1. What place value represents 1/10th of a hundredth?
j.
1. Write these numbers in expanded from:
k. 0.3 -
k. 0.45 -
k. 1.02 -
k. 2.018 -
1. Extending your thinking:
l. Compare the numbers 5.0 and 0.5. Use place value to explain how you know.
i.
1. Compare the numbers 5.0 and 0.05. Use place value to explain how you know.
ii.
Let’s do some 5th grade math!!!
Find each solution and then write an explanation that would help a peer understand your thinking.
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Which number has a digit in the tens place that is 1/10 the value of the digit in the hundreds place?
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Based on the number line below, which statement is true?
A. y = 5.4 B. x < 5 C. x > 5.2 D. z > 6 |
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Steven wants to write this number below in words. (3 × 100) + (2 × 1) + (6 × 1/10 ) Which shows this number in word form?
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Casey’s class was doing a project to see which group could make their toy car travel the fastest down a ramp.
Which statement is true based on the data?
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