## Tuesday, November 17, 2015

### How tos Look through the book and consider various ideas for your How to Explain Everything. List at least three
strong ideas here and give three ideas you have about different ways to demonstrate your lesson.

Remember, I did How to Round Numbers. My examples included rounding up, rounding down, rounding using decimals and finally leaving one example for the audience to solve. Once given enough time, I gave the answer.

Be sure that you list three different ideas with three different ways to demonstrate it using something we've learned already.

Idea 1: How to round number

• round up
• round down
• round using decimals
Idea 3: Determining angles
• example of acute angle
• example of right angle
• example of obtuse angle

1. Idea 1: Dividing with compatible numbers
•example of looking for a compatible number in the dividend
•example of doing the base fact and annexing zeros
•example of rounding up or down

Idea 2: Multiplying 2 digit by 2 digit numbers
•example of making the bow
•example of how to carry numbers
•example of putting a zero

Idea 3:How to divide
•example of how many times a number can go into an other
•example of multiplying to check
•example of the subtracting

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3. Idea 1:multiplying 3 by 3 digit numbers

Example:put the bigger number on top and the smaller number on the bottom
Example:multiply the digits on the bottom number digits to all the top number digits

Idea 2:rounding up and down

Example:underline the digit your rounding to and round the digit to the right
Example:if the number is greater than 5 round up if not round down
Example:remember 5 or above give it a shove

Idea 3: subtraction
Example:put the bigger number on top and the smaller one on the bottom
Example:take the smaller number away from the bigger one
Example:make sure to put symbols in all problems

4. Idea 1...Checking Division Problems
example...do problem without remainder
example...do problem with remainder
example...try it with two and three digit quotients

Idea 2...Estimating
example...use rounding up
example...use rounding down
example...use compatible numbers

Idea 3...Multiplication
example...use bow tie method
example...use box method
example...use partial products method

5. Idea 1: Rounding
Example... Use estimating up
Example... Use estimating down
Example... Use estimating with decimals up and down

Idea 2: multiplying 2 digit by 2 digit numbers
Example... Use the bow tie method
Example... Annexing the 0
Example... Lining up the numbers

Example... Rounding up
Example... Rounding down
Example... Multiply or divide the new rounded number

6. Idea1 : rounding up and down
Example:If the next number is higher than 5 you round up
ExampleIf the next number is lower than 4 round down
Example:If it is a hard problem you should round

Idea2:check multiplication problems
Example: use partial products to check the answer
Example:you can use division

Idea3 :check division problems
Example : you can a diagram
Example: we can use the answer to the divisor you will get the answer of the dividend
Example:you can estimate first so you know were answer will be

1. idea1 : rounding up and down
Example:If the next number is higher than 5 you round up
ExampleIf the next number is lower than 4 round down
Example:If it is a hard problem you should round

Idea2:check multiplication problems
Example: use partial products to check the answer
Example:you can use division

Idea3 :check division problems
Example : you can a diagram
Example: you use the quotient and the divisor and multiply it and you will get the dividend
Example:you can estimate first so you know were answer will be

7. Henry:
Idea1 how to write and solve an exponent
3 1 2 3
5 5x5x5=

5 1 2 3 4 5
1 1x1x1x1x1=

3. 1 2 3
10 10x10x10=

Idea2 how to turn a remainder into a decimal
10%4

20%8

30%7

Idea3 how to add fractions with similar denominators

3\5+1\5=4\5

4\5+1\5=1

5/100+97/100=1 1\50

8. Idea 1: Checking Multiplication
Example: Bow tie method
Example: Box method
Example: Partial products

Idea 2: Estimating
Example: Use compatible numbers
Example: Use rounding
Example: Use patterns/basic facts

Idea 3: Place Value
Example: 980,765 including 0
Example: 197,234,586 in the hundred millions
Example: 23.14 in the hundredths place

Vela

9. idea 1: estimating quotients
exemple:321÷8=? 321≈320 and I don't round the 8 320÷8= 40
example: 349÷3=? 349≈360 360÷9=40
example: 476÷7=? 476≈490 490÷7=70

example: 0.63+0.74=1.37
example:1.270+3.828=5.098
example:9.039+6.30400=15.34300

idea 3 subtracting 2 digit numbers by 1 digit numbers
example: 79-8=71
example:27-7=20
example:91-9=82
ANNA

10. Idea 1: Multiplcation
example:65x9
example:72x43
example:897x34

Idea 2: Rounding
example:rounding down
example:rounding up
example:compatible numbers

example:carrying

11. idea 1 :Breaking up numbers so easeyer to multiply.
example:2 digit
example:3 digit
Example: multiplying with zeros inside the numbers

idea 2:subtracting
example:Subtracting 2 digits
example:subtracting 3 digits or more
example:subtracting decimals

idea 3:rounding
example:rounding up
example:rounding down
example:rounding decimals

12. Idea 1: Rounding Whole Numbers and Decimals
example:8790=9000
example:4321=4000
example:7.987=8.0 or 8

Idea 2: Subtracting Decimals
example:7.89-5.1=6.79
example:6.09-3.78=2.31
example:7.2-3.54=3.69

example:7.1+9.8=16.9
example:7.05+8.15=15.2
example:7.5 +3.987=11.487

13. idea1 : rounding up and down
Example:If the next number is higher than 5 you round up
ExampleIf the next number is lower than 4 round down
Example:If it is a hard problem you should round

Idea2:check multiplication problems
Example: use partial products to check the answer
Example:you can use division

Idea3 :check division problems
Example : you can a diagram
Example: you use the quotient and the divisor and multiply it and you will get the dividend
Example:you can estimate first so you know were answer will be

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15. Idea 1: Order of Operations
example: [9+8]
- multiply and divide from the left to the right
example: 2*10
- add and subtract from the left to the right
example: 7+9

Idea 2: Dividing compatible Numbers
- estimate the dividend
- start to divide the dividend
- put the the numbers on top of the dividend

Idea 3: Multiply the hundreds
- multiply in the ones place
- multiply in the tenths place
- multiply in the hundredths place

16. Idea 1 Rounding down
Example: 2734
Round the tens place. Look at the tens place (3). Now look to the right of it. This is the ones place. This number determines if you round up or down. In this case, we are rounding down because if the
number is 4 or below we round down. 4<5 so it goes down and changes to a zero. This makes your
new rounded number 2730.

Idea 2: Rounding up
Example:4365
Look at the hundreds place (3). Now look to the right of it. This is the tens place. This number determines if you're rounding the hundreds place up or down. In this case we are rounding up because if the number is 5 or above then you round up. 6>5 and 4 so we round up. You now change the 6 and the 5 to a 0. Our new rounded number is 4300.

Idea 3: Rounding decimals down
Example:67.34
Rounding decimals is almost the same thing as rounding whole numbers. Look at the ones place (7). Now look at the number to the right of it. This is the tenths place. This number determines if we are rounding up or down. In this case we are rounding down because 3<5. Now we change the 3 and4 to zeros. Our new rounded number is 67.00.

17. idea 1 multiplication
example : use the box method
example : annex zeros to make problem easier
example : use the distributive property method

idea 2 division
example : annex zeros to make problem easier to solve
example : when estimating use compatible numbers to make the dividing easier
example : use multiplication to check answer

example : to make sure to line up ones tens and hundreds
example :make sure to place the value dot on the right place of the addends
example : annex the zeros in the end

18. idea 1 rounding decimals up and down ex: 13.45
step 1) look to the right of the number if it is 5 or greater than 5 round up,ex:45 would round to 50 step 2) if the number to the right is less than 5 than you round down ex:13 would round to 10
step 3) if the number to the right is 0 than there is no reason to round ex: 30 would round to 30. your rounded number is 10.50.

idea 2 adding decimals ex: 14.3 + 2.30
step 1) look at the zeros and see if they are needed if not take them away ex:12.30=12.3 now it will make it easier to add.
step 2) add the tenths place ex: 3 + 3=6
step 3) add the wholes/ones place ex: 14 + 2=16

idea 3 rounding the hundreds tens and thousands place ex: 5,256
step 1) look at the thousands place and the number to the right of it, the number is less than 5 so round down ex: 5,200 rounds to 5,000.
step 2) look at the hundreds place look at the number to the right of it the number is 5 so round up ex: 5,250 rounds to 5,300
step 3) look at the tens place and look at the number to the right of it the number is greater than 5 so round up ex: 5,256 rounds to 5,260

19. Idea 1: rounding
Example 28 Round to the tens place, look at the 8 round up because it is greater than 5 so 28 rounded to the tens place is 30
Example 43 round down because 3 is less than 5 so 43 rounded to the tens place is 40
Example 2.549 rounded to the tenths place is 2.500 because 4 is less than 5 so we round down and turn all the digits after the four into zeros

Idea 2: Converting fractions into decimals
Example ¼ is Equivalent to 0.25 because ¼ can be changed into 25/100 and that is equal to .25
Example 2/5 +3/5=5/5 and 5/5 is Equal to 100/100 witch can be converted to 1.00
Example 1 2/5 first you can convert 2/5 to 4/10 Equivalent to 0.4 then add 1 to get 1.4

Idea 3: Multiplication
Example 2x16 First you have to multiply the tens place 2x10=20 then multiply the ones place 2x6=12 then add them together 20+12=32 and 32=2x16
Example 12x34 first you multiply the tens place 10x30=300 then multiply the ones 2x4=8 then add them together and get 308=12x34
Example 123x456 first you multiply the hundreds place 100x400 to get 40,000
Then multiply the tens place 20x50 to get 1,000 then finally multiply the ones place 3x6 to get 18 then add them all together and get the final product 41,018=123x456

20. Idea 1. Mental Math for addition
Example: add digits numbers under ten
Example: add decimals that go up to the tenth's place
Example:add numbers above above 100 and below 1000

Idea 2: exponents
Example: do cubed and squared exponents
Example: do exponents with numbers 4 and under, and the exponents small like 3 to the power of 3
Example:do exponents with low numbers, but higher powers

Idea 3: division
Example: divide numbers under 10
Example: divide one -digit numbers with 3-digit numbers easy to work with
Example: divide 2-digit numbers by 3-digit numbers

21. Idea1: rounding
Example: rounding up in the thousands
Example: rounding down in the thousands
Example: rounding up in the hundred thousands

Idea2: multiplying
Example: multiply one digit by one digit
Example: multiply one digit by two digit
Example: multiply two digit by two digit

Idea3: dividing
Example: annex the zeros
Example: carrying the numbers
Example: remember the remainder

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23. Idea 1:multiplying
1.Multiply by splitting the numbers
2.multiply using the bow tie method
3.Carrying
Idea 2: dividing
1.divide using compatible numbers
2.make numbers easier to divide
3.divide by drawing a model