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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! |

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|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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