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Unknown Addends and Factors

4th Grade

4.N.1.7

Looking for students with great detective skills!!

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What is an ADDEND?

An addend is any of the numbers being added together.

And the sum is the grand total.

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What is a FACTOR?

Factors are numbers that are multiplied together to get a product.

A product is the result of multiplying factors.

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Let’s review!!

3, 3, 4, and 1 are ADDENDS

6 and 5 are SUMS

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Let’s review

6 x 4 = 24

24 is the PRODUCT

6 and 4 are FACTORS

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Important Symbols

This is the “greater than” symbol. It tells us that the value to the left is greater than the value to the right.

100 > 98

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Important Symbols

This is the “less than” symbol. It tells us that the value to the left is less than the value to the right.

100 < 120

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Important Symbols

This is the “equal” symbol. It tells us that the value to the left is equal to the value to the right.

300 = 300

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Let’s practice using symbols.

536 ____ 563

5,451 = 5,451

5,451 is equal to 5,451

5,451 ______5,451

400 > 40

400 is greater than 40

400 _____ 40

536 < 563

536 is less than 563

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Ready for a Challenge??

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Gather your problem solving skills and help me detect the correct symbol for these mathematical equations.

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Try solving this inequality.

201 + 3 _______ 198 + 5

We have to determine if the equations are equal.

STEP 1 is to find the value of each side.

201 + 3 equals 204 and 198 + 5 equals 203.

These values are not equal.

204 is greater than 203 so we will insert a “greater than” symbol because 201 + 3 is greater than 198 + 5.

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What if a number is missing? Can you become a detective to find the missing number?

The equal sign in the center tells us that both values must have the same sum.

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Step 1 - find the value of 45 + 7

45 + 7 = 52

Since the left side of the equal sign equals 52, we know that the right side must equal 52 as well.

Step 2 - Think, “What plus 10 equals 52?”

(You could also subtract 10 from 52. (52 - 10 = ?)

n would need to be 42 to make each side equal 52.

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Give this one a try. Remember that the “less than” symbol tells us that the value on the left must be smaller than the value on the right.

We can add 35 and 4 to find the sum 39. We now need to pick a number from the list that is greater than 39 when added to 6. A good way to solve this one is using the process of elimination.

  1. 33 + 6 = 39 (this does not fit the inequality because it equals the left side.)
  2. 28 + 6 = 34 (this does not fit the inequality because it is less than the left side)
  3. 32 + 6 = 38 (this does not fit the inequality because it is less than the left side)
  4. 36 + 6 = 42 (42 is greater than 39 so this makes the inequality true)

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Let’s try this with multiplication.

Step 1 - Multiply 25 x 6

Step 2 - m x 2 must have the same value as 25 x 6 since there is an equal sign between the two values.

25 x 6 = 150

150 = m x 2

75 x 2 = 150

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One more example...

12 x 8 = 96 We are looking for a value that is smaller than the left equation.

Since 12 is represented on each side, we can pick a number that is smaller than 8 and know that the value will be less than 96. Seven is the logical choice.

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You are experts!!

Time to take a Study Island Assessment.

  1. Screen share your screen with me.
  2. Open a new window and log into Study Island.
  3. Take the assessment titled Unknown Addends and Factors.
  4. Let me know your final score when you finish.