Parabola Power Facilitation Guide
Parabola Power Shifts
Teacher Facilitation Guide
Subject
Algebra 1
Duration
55-60 Minutes
Objective
Match quadratic equations to graphs using transformations.
Materials
Slide Deck, Cornell Notes, Card Sort Sets
Instructional Flow
1
Warm-up: Defining Key Terms (5 min)
Review prior knowledge of parabolas. Students should define:
- Vertex: The maximum or minimum point of the parabola.
- Reflection: Flipping the graph (typically across the x-axis).
2
Video & Cornell Notes (10 min)
Watch "Graphing Quadratic Functions Using Transformations". Pause at key timestamps:
0:17 Pause: Ask students to predict what a negative sign will do.
1:25 Crucial Pause: Ask which way \( (x-1)^2 \) moves. Address the misconception that "minus" means "left".
2:03 Practice: Have students attempt the two final complex problems independently on their note sheets.
3
Card Sort Activity (20 min)
Students work in pairs to match 10 Equations to 10 Graphs. Watch for students confusing \( (x+h) \) and \( (x-h) \).
4
Extension & Wrap-up (10 min)
Students select one match and write a 1-2 sentence justification on the back of their Cornell notes or a separate exit ticket.
Card Sort Answer Key
Eq A: y = x² Graph 1 (Parent)
Eq B: y = -x² Graph 2 (Reflection)
Eq C: y = x² + 2 Graph 3 (Up 2)
Eq D: y = -x² - 1 Graph 4 (Down 1, Reflect)
Eq E: y = (x - 1)² Graph 5 (Right 1)
Eq F: y = -(x + 2)² Graph 6 (Left 2, Reflect)
Eq G: y = -(x - 3)² + 2 Graph 7 (Vertex: 3, 2, Down)
Eq H: y = (x + 2)² - 4 Graph 8 (Vertex: -2, -4, Up)
Eq I: y = (x + 2)² Graph 9 (Left 2, Up)
Eq J: y = (x - 2)² Graph 10 (Right 2, Up)
Parabola Power Cornell Notes
Parabola Power Shifts
Cornell Note-Taking Guide
Name:
Date:
Warm-Up: Key Definitions
Vertex
Reflection
Cues / Questions
Class Notes & Sketches
Parent Function
\( y = x^2 \)
Reflection
What does the negative sign do?
Vertical Shift (\( k \))
\( y = x^2 \pm k \)
Horizontal Shift (\( h \))
\( y = (x \pm h)^2 \)
Complex Practice: Identify Vertex & Sketch
1. \( y = -(x - 3)^2 + 2 \)
Vertex: (____, ____)
2. \( y = (x + 2)^2 - 4 \)
Vertex: (____, ____)
Summary
In 2-3 sentences, explain how the values of h and k change the position of the vertex.
Parabola Power Presentation Slides
Parabola Power Shifts
MASTERING QUADRATIC TRANSFORMATIONS
Watch
Note
Sort
Warm-up
Objective
Students will collaborate to match quadratic equations in vertex form to their corresponding graphs.
Task 1
Define Vertex in your own words.
Task 2
Define Reflection in the context of a graph.
Transformation Lab
Taking Cornell Notes
Embedded media
Note-Taking Focus
- The effect of the minus sign
- Vertical shifts (up/down)
- Horizontal shifts (left/right)
"Set the inside equal to zero to find the new origin..."
Card Match Challenge
1
Work in pairs to match each Equation card to its Graph card.
2
Watch out for "Trick Pairs" that look similar but have different shifts.
3
Once finished, raise your hand for a Verification Check.
y = (x-2)²
Final Challenge
Pick one pair from your set and write a short explanation of why they match.
Sentence Starter:
"Equation __ matches Graph __ because the value of __ causes the graph to shift ____ units..."
