Name:
Name: Date:
Aim: How can I find the GCF of my expression and factor it out?
|Questions / Main Ideas |Notes / Answers / Definitions / Examples / Sentences |
|/Vocabulary | |
|Warm Up: |DOK2: What is the Greatest Common Factor of 16 and 24? |
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|CHOOSE YOUR LEVEL |STEPS: |
| |Find all the FACTORS of each number |
| |Circle the COMMON factors |
| |Choose the GREATEST of those |
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| |Factors of 16: Factors of 24: |
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| |DOK3: What is the GCF of 16x3 and 24x8? HINT – expand out the x values |
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| |DOK4: What is a rule you can use to determine the GCF when variables are involved? Create an example using a coefficient and two |
| |different types of variables in each expression. |
|Mathcabulary | |
| |Factors are numbers we can multiply together to get another number: |
|A factor |Example: 2 and 3 are factors of 6, because 2 × 3 = 6. |
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| |A Prime Number can be divided evenly only by 1 or itself. |
|Prime Number |And it must be a whole number greater than 1. |
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|Greatest Common Factor |The highest number that divides exactly into two or more numbers. |
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|Factoring | |
| |Factoring: Finding what to multiply together to get an expression. |
|Mini-Lesson |[pic] |
|Factoring out the GCF |What are the steps to factoring using GCF? |
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|Step 1: |1) List out all the factors of each coefficients (number in front of the variables) & determine the largest factor they share |
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| |2) Look to see if ALL terms share a variable – if yes: take out the |
|Step 2: | |
| |________________ exponent of the two |
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|Step 3: |3) Place your GCF on the outside of a set of parentheses & determine what remains (REMEMBER: When multiplying variables we _________ the|
| |exponents |
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| |4) CHECK YOUR ANSWER by distributing it back and making sure that nothing still remains in common inside the parentheses! |
|Step 4: | |
|Mini Lesson |[pic]VISUAL REPRESENTATION |
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Name: Date: Period:
Exit Slip
Option 1: Did Allison factor out the GCF correctly? Explain why or why not. If it is incorrect, fix it!
Original Expression: 2x3 - 10x6
Factored Answer: 2x(x2 - 5x5)
Option 2: Create a step-by-step guide for factoring out the GCF for the following expression: 14xy3 - 21x^2
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