Factoring Bot Blueprint Anchor Chart Factoring Bot Blueprint
Master the Art of Polynomial Processing
Unit Reference
CODE: FACTOR-01
START HERE
Input your Polynomial
Is there a
GCF?
(Common numbers or letters in EVERY term?)
YES
NO
FACTOR IT OUT!
Divide every term by the GCF. Put the GCF outside the parentheses.
2x² + 4x → 2x(x + 2)
SCAN THE REMAINDER
Look at what is left inside the parentheses.
Can you factor the quadratic?
(Find factors of 'c' that add to 'b')
YES
NO
FINAL PROCESSING
Write as:GCF (Binomial) (Binomial)
STOP & CHECK
If it can't be factored further, you are finished! Keep the GCF in your final answer.
Robot Protocol 01: The GCF Rule
"The GCF is like a robot's battery. You pull it out to work on the machine, but you must put it back in the final assembly or the machine won't work!"
Factoring Bot Workspace Worksheet Factoring Bot Workspace
Daily Processing Sheet • Algebra Support
Name:
Date:
Phase 1: Vocabulary Circuits
Connect each robot part (term) to its correct function (definition) by drawing a line.
Monomial
Binomial
GCF
Quadratic
The biggest number/variable shared by all terms.
A polynomial with exactly two terms.
An expression with only one term.
An expression where the highest power is 2.
Phase 2: Video Intel
Key Secret from Justin:
"Always try to find a _________ first, especially when there's a leading coefficient!"
Phase 3: Processing Trials
Use your newly assembled Factoring Bot to solve these 3 problems. Show your work steps clearly!
Problem 1: \(2x^2 + 10x + 12\)
GCF Check → Factor
Step 1: Pull out GCF
Step 2: Factor Binomials
Final Answer:
Problem 2: \(3x^2 - 12x - 15\)
Large Factor Logic
Step 1: Pull out GCF
Step 2: Factor Binomials
Final Answer:
Problem 3: \(5x^3 - 45x\)
Variable GCF Alert
Step 1: Pull out GCF
Step 2: Factor Binomials
Final Answer:
Factoring Bot Slides Presentation Factoring Bot
Polynomial Processing Protocol • Grade 8-10
Objective: Create a Visual Flowchart
5 Minutes
Phase 1: Vocabulary Circuits
Check your Workspace Sheet.
Match the Robot Terms to their Functions .
READY TO START?
05:00
START TIMER
10 Minutes
Phase 2: Video Intel
Embedded media
PAUSE @ 1:05
Why did it fail?
PAUSE @ 3:45
THE SUMMARY SLIDE
PAUSE @ 5:00
Independent Trial
25 Minutes
Phase 3: Build a Factoring Bot
1
Cut out the Process Shapes from your Assembly Kit.
2
Paste them onto your Blueprint Poster to make a flowchart.
3
Use your new Bot to solve the 3 practice problems on your worksheet!
Protocol Tip:
"GCF must go in the FINAL answer!"
Test Your Tech!
Show your Flowchart to a partner.
Explain your steps
Give constructive feedback
Factoring Bot Assembly Kit Factoring Bot Assembly Kit
Cut, Paste, and Build Your Decision Logic
Assembly Instructions
Carefully cut out each shape on this page.
Arrange them on a piece of construction paper or your blueprint poster.
Connect the shapes with Arrows to show the path a robot would take!
START
Input Polynomial
Is there a GCF?
FACTOR IT OUT!
Put it outside ( ).
Can you factor the quadratic?
GCF (Binom)(Binom)
END
Double Check Answer
Connection Arrows (Cut Multiple)
Factoring Bot Teacher Answer Key Factoring Bot Master Key
Teacher Reference & Answer Guide
Warm-Up Answer Key
Monomial: An expression with only one term.
Binomial: A polynomial with exactly two terms.
GCF: The biggest number/variable shared by all terms.
Quadratic: An expression where the highest power is 2.
Practice Problem Solutions
Problem 1: \(2x^2 + 10x + 12\)
1. GCF: Divide by 2 → \(2(x^2 + 5x + 6)\)
2. Factor Quadratic: Factors of 6 that add to 5 are 2 and 3.
FINAL: \(2(x+2)(x+3)\)
Problem 2: \(3x^2 - 12x - 15\)
1. GCF: Divide by 3 → \(3(x^2 - 4x - 5)\)
2. Factor Quadratic: Factors of -5 that add to -4 are -5 and +1.
FINAL: \(3(x-5)(x+1)\)
Problem 3: \(5x^3 - 45x\)
1. GCF: Divide by 5x → \(5x(x^2 - 9)\)
2. Factor Quadratic: This is a difference of squares. Factors of -9 that add to 0 are 3 and -3.
FINAL: \(5x(x+3)(x-3)\)
Teacher Implementation Tips
Modification for SPED: If students struggle with the multiplication/addition of the trinomial, provide a multiplication chart or a "Factor Finder" list for numbers like 6, 5, and 9.
Activity Support: During the "Build a Bot" activity, ensure students connect the "YES" path from the GCF diamond back to the main flow. Emphasize that the GCF is extracted but kept .
Video Pauses: At 3:45, have students take a screenshot or copy the summary table. This is the logic they are building with their cut-out bot.
