Algebra 2 4-5 Complete Lesson: Quadratic Functions

Last updated almost 4 years ago
27 questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
Solve It! As a part of an engineering project, your team is drawing a highway tunnel on a coordinate system. The tunnel opening is in the shape of a parabola. You need to finishe the drawing.
10

Solve It! What are the coordinates of point C ?

10

Problem 1 Got It?

10

Problem 2 Graphing: Graph the quadratic equation. Zoom and pan your graph to establish an appropriate viewing window.

10

Problem 2 Got It?

10

Problem 3 Graphing: Graph the quadratic equation. Zoom and pan your graph to establish an appropriate viewing window.

10

Problem 3 Got It?

10

Problem 4 Graphing: Graph the quadratic function. Zoom and pan your graph to establish an appropriate viewing window.

10

Problem 4 Got It? The function below models the path of a kicked soccer ball. The height is y ,the distance is x, and the units are meters. Use the responses on the left to answer the questions on the right.

  • How far does the soccer ball travel?
  • How high does the soccer ball go?
  • What is a reasonable domain for the function?
  • What is a reasonable range for the function?
10
10
10
10
10
10

Vocabulary: If 5 is a zero of the function what is the value of b?

10
10

Reasoning: Using tables, how might you recognize that a quadratic equation likely has exactly one solution? No solutions?

10

Review Lesson 4-4: Factor the expression.

10

Review Lesson 4-4: Factor the expression.

10

Review Lesson 4-4: Factor the expression.

30

Review Lesson 3-5: Solve the system by elimination. Show your work on the canvas. Write your solution in the space provided. Check your answer.

30

Review Lesson 2-7: Without graphing, match each vertex, axis of symmetry, and transformation from the parent function f(x) = |x| in the left column with the appropriate absolute value function in the right column.

  • vertex: (2, 0)
  • axis of symmetry: x = -4
  • translate the parent function 2 units up and 4 units left
  • axis of symmetry: x = 2
  • vertex: (-4, 2)
  • compress the parent function horizontally by a factor of 2 and translate 4 units to the right
10

Review Lesson 4-4: Simplify the expression.

10

Review Lesson 4-4: Simplify the expression.

10

Vocabulary Review: Classify each equation based on whether or not it is a function.

  • Function
  • NOT a function
10

Use Your Vocabulary: Match each zero with its graph(s).

  • -2
  • -1
  • 1
  • 2
100

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

10

Reflection: Math Success