Sample Work for Algebra 1BUnit 3: Quadratic Functions and Equations

Lesson 1: Quadratic Graphs and Their Properties Objective: Can you graph quadratic functions of the form y = ax2 and

y = ax2 + c

An axis of symmetry is ______

A maximum is ______

A minimum is ______

A parabola is ______

A quadratic function is ______

A quadratic parent function is ______

The standard form of a quadratic function is ______

A vertex is ______

Points to ponder: What are two methods for graphing quadratic equations?

Practice work:Read p. 534-537. P. 538-539, 7-48 (all).

  • Explain your answer for #14
  • Explain your answer for #26:

Lesson 2: Quadratic Functions (2 day lesson)Objective: Can you graph quadratic functions of the form y = ax2+bx +c?

Practice work:Read pp. 541-544. P. 544-545, 7-40 (all).

  • Show your work for #14 (-b/2a):
  • Explain your answer for #26:

Lesson 3: Solving Quadratic Equations Objective: Can you solve quadratic equations by graphing and using square roots?

A quadratic equation is:______

The root of an equation is ______

The standard form of a quadratic equation is ______

The zero of a function is ______

Points to ponder: How are the solutions for a quadratic equation related to the graph of its quadratic function?

Practice work:Read p. 548-550. P 551, 9-41 (all)

Show your work for number 30:

Show your work for number 36:

Lesson 4: Factoring to Solve Quadratic Equations (2 day lesson)Objective: Can you solve quadratic equations by factoring?

The zero product property is ______

Practice work:Read pp. 555-557 P. 558, 8-45 (all)

Show your work for # 21

Show your work (answer the questions) for # 34

Lesson 5: Skipped! You will NOT have to do this lesson or its assessment. 

Lesson 6: The Quadratic Formula and its discriminant (2 day lesson)

Objective: Can you solve quadratic equations by using the quadratic formula?

The discriminant is ______

The quadratic formula is:______

Points to ponder: What methods have you learned thus far to solve quadratic equations? Which one is your favorite and why?

Practice work:Read pp. 567-571P. 571-572, 7-42 (all)

  • Show your work for #15:
  • Show your work for #42:

Lesson 7: Linear, Quadratic and Exponential Models (2 day lesson)

Objective: Can you choose a linear, quadratic or exponential model for data?

Points to ponder: In a table of values:

How do you determine the first difference?______

How do you determine the second differences?______

How do you determine the ratios?______

Practice work:Read pp. 574-577 P. 578-579, 6-25 all

  • Explain your answer for #14
  • Show your work for #21 (answer all questions)

Lesson 8: Systems of Linear and Quadratic Equations Objective: Can you solve a system of linear and quadratic equations?

Points to ponder: What are the 3 methods for solving a system of nonlinear equations?

Practice work:Read pp. 582-584 Pp. 585-586, 8-32 Show your work for #19 and #32

Challenge: Complete this correctly to get extra points on a quiz! (Extra Credit 3.8)

Lesson 9: Quadratic Functions and Equations Unit Review (2 day lesson)

MathXL End of Chapter Practice and review

Congratulations! You have just completed the Unit 3 Sample Work Study Guide! Please review all of the pages in this document for completeness. You will now submit this document for your SW assignment for Unit 3. Please be sure to include your full name.