unit 4 solving quadratic equations homework 1 answers

Unit 4: Solving Quadratic Equations

Why are we studying this.

In this unit of study, students will continue to deepen their knowledge and understand of quadratic functions. Students will learn how to solve quadratic equations algebraically and interpret them in terms of the graph and in context.

Unit Schedule and Assignments

Weekly online, notebook: unit 4, table of contents & pages, hw #8: due 11/30, hw #10: due 12/14, hw #9: due 12/7, hw #11: due 12/21.

Daily Homework Assignments (w/Answer Keys)

Graphing: practice page.

Factoring Quadratic Expressions: Practice Page

8.1: #3-19 ODD

8.2: #1-15 odd, 9.1: #4-15 all + 18, 19, 22, 9.2: #1-15 odd + 23, 24, 9.3: #1-13 odd + 15-20 all, unit assessments, unit quizzes.

Mid-Unit Quiz #1: Solving Quadratics by Graphing and Factoring - Tuesday, December 4th (Per. 1 & 3) and Wednesday, December 5th (Per. 2)

Mid-Unit Quiz #2: Solving Quadratics by Square Roots, Completing the Square, and Quadratic Formula (POP QUIZ)

Unit 4 Assessment: Tuesday, December 18th (Per. 1 & 3) and Wednesday, December 19th (Per. 2)

Solving Quadratic Equations by Graphing

Unit Foldable: Solving Quadratic Equations

In Class Slides

Practice Page

Factoring Quadratic Expressions

In Class Slides (Day 1)

Factoring Trinomials Match Up

Factoring Quadratic Expressions (Orduna - video)

8.1-8.2: Solving Quadratic Equations by Factoring

8.1 Textbook Pages

8.2 Textbook Pages

In Class Slides (Day 2)

Notes/Practice Page

Solving Quadratic Equations by Factoring (Orduna - video)

For extra tutorial videos, visit my.hrw.com and check out...

8.1: Math on the Spot Video

8.2: Math on the Spot Video

9.1: Solving Quadratic Equations by Square Roots

9.1 Textbook Pages

Notes/Practice Pages

Choose Your Own Adventure

9.2: Solving Quadratic Equations by Completing the Square

9.2 Textbook Pages

Coloring Page

9.3: Solving Quadratics by Quadratic Formula

9.3 Textbook Pages

Quadratic Formula Tic-Tac-Toe

UNIT REVIEW RESOURCES

Word Problem Practice

Solving by Different Methods

Quadratics Puzzle

4 to 1 Review Game

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Unit 14: Quadratic functions & equations

About this unit.

We've seen linear and exponential functions, and now we're ready for quadratic functions. We'll explore how these functions and the parabolas they produce can be used to solve real-world problems.

Intro to parabolas

• Parabolas intro (Opens a modal)
• Interpreting a parabola in context (Opens a modal)
• Interpret a quadratic graph (Opens a modal)
• Parabolas intro Get 3 of 4 questions to level up!
• Interpret parabolas in context Get 3 of 4 questions to level up!
• Interpret a quadratic graph Get 3 of 4 questions to level up!

Solving and graphing with factored form

• Zero product property (Opens a modal)
• Graphing quadratics in factored form (Opens a modal)
• Quadratic word problems (factored form) (Opens a modal)
• Zero product property Get 3 of 4 questions to level up!
• Graph quadratics in factored form Get 3 of 4 questions to level up!
• Quadratic word problems (factored form) Get 3 of 4 questions to level up!

Solving by taking the square root

• Solving quadratics by taking square roots (Opens a modal)
• Solving quadratics by taking square roots examples (Opens a modal)
• Quadratics by taking square roots: strategy (Opens a modal)
• Solving quadratics by taking square roots: with steps (Opens a modal)
• Solving simple quadratics review (Opens a modal)
• Quadratics by taking square roots (intro) Get 3 of 4 questions to level up!
• Quadratics by taking square roots Get 3 of 4 questions to level up!
• Quadratics by taking square roots: strategy Get 3 of 4 questions to level up!
• Quadratics by taking square roots: with steps Get 3 of 4 questions to level up!

Vertex form

• Vertex form introduction (Opens a modal)
• Graphing quadratics: vertex form (Opens a modal)
• Quadratic word problems (vertex form) (Opens a modal)
• Graph quadratics in vertex form Get 3 of 4 questions to level up!
• Quadratic word problems (vertex form) Get 3 of 4 questions to level up!

Solving quadratics by factoring

• Solving quadratics by factoring (Opens a modal)
• Solving quadratics by factoring: leading coefficient ≠ 1 (Opens a modal)
• Solving quadratics using structure (Opens a modal)
• Quadratic equations word problem: triangle dimensions (Opens a modal)
• Quadratic equations word problem: box dimensions (Opens a modal)
• Solving quadratics by factoring review (Opens a modal)
• Quadratics by factoring (intro) Get 3 of 4 questions to level up!
• Quadratics by factoring Get 3 of 4 questions to level up!
• Solve equations using structure Get 3 of 4 questions to level up!

The quadratic formula

• The quadratic formula (Opens a modal)
• Understanding the quadratic formula (Opens a modal)
• Worked example: quadratic formula (example 2) (Opens a modal)
• Worked example: quadratic formula (negative coefficients) (Opens a modal)
• Using the quadratic formula: number of solutions (Opens a modal)
• Quadratic formula review (Opens a modal)
• Discriminant review (Opens a modal)
• Quadratic formula Get 3 of 4 questions to level up!
• Number of solutions of quadratic equations Get 3 of 4 questions to level up!

Completing the square intro

• Completing the square (Opens a modal)
• Worked example: Completing the square (intro) (Opens a modal)
• Worked example: Rewriting expressions by completing the square (Opens a modal)
• Worked example: Rewriting & solving equations by completing the square (Opens a modal)
• Completing the square (intro) Get 3 of 4 questions to level up!
• Completing the square (intermediate) Get 3 of 4 questions to level up!

More on completing the square

• Solve by completing the square: Integer solutions (Opens a modal)
• Solve by completing the square: Non-integer solutions (Opens a modal)
• Worked example: completing the square (leading coefficient ≠ 1) (Opens a modal)
• Solving quadratics by completing the square: no solution (Opens a modal)
• Proof of the quadratic formula (Opens a modal)
• Solving quadratics by completing the square (Opens a modal)
• Completing the square review (Opens a modal)
• Quadratic formula proof review (Opens a modal)
• Solve equations by completing the square Get 3 of 4 questions to level up!
• Completing the square Get 3 of 4 questions to level up!

Strategizing to solve quadratic equations

• Strategy in solving quadratic equations (Opens a modal)
• Strategy in solving quadratics Get 3 of 4 questions to level up!

Quadratic standard form

• Finding the vertex of a parabola in standard form (Opens a modal)
• Graphing quadratics: standard form (Opens a modal)
• Quadratic word problem: ball (Opens a modal)
• Graph quadratics in standard form Get 3 of 4 questions to level up!
• Quadratic word problems (standard form) Get 3 of 4 questions to level up!

Features & forms of quadratic functions

• Forms & features of quadratic functions (Opens a modal)
• Worked examples: Forms & features of quadratic functions (Opens a modal)
• Vertex & axis of symmetry of a parabola (Opens a modal)
• Finding features of quadratic functions (Opens a modal)
• Interpret quadratic models: Factored form (Opens a modal)
• Interpret quadratic models: Vertex form (Opens a modal)
• Graphing quadratics review (Opens a modal)
• Creativity break: How does creativity play a role in your everyday life? (Opens a modal)
• Features of quadratic functions: strategy Get 3 of 4 questions to level up!
• Features of quadratic functions Get 3 of 4 questions to level up!
• Graph parabolas in all forms Get 3 of 4 questions to level up!
• Interpret quadratic models Get 3 of 4 questions to level up!

Comparing quadratic functions

• Comparing features of quadratic functions (Opens a modal)
• Comparing maximum points of quadratic functions (Opens a modal)
• Compare quadratic functions Get 3 of 4 questions to level up!

Transforming quadratic functions

• Intro to parabola transformations (Opens a modal)
• Shifting parabolas (Opens a modal)
• Scaling & reflecting parabolas (Opens a modal)
• Quadratic functions & equations: FAQ (Opens a modal)
• Shift parabolas Get 3 of 4 questions to level up!
• Scale & reflect parabolas Get 3 of 4 questions to level up!

Quadratic Equation Worksheets (pdfs)

Free worksheets with answer keys.

Enjoy these free sheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

• Solve Quadratic Equations by Factoring
• Solve Quadratic Equations by Completing the Square
• Quadratic Formula Worksheet (real solutions)
• Quadratic Formula Worksheet (complex solutions)
• Quadratic Formula Worksheet (both real and complex solutions)
• Discriminant Worksheet
• Sum and Product of Roots
• Radical Equations Worksheet

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Unit 4 Solving Quadratic Equations Homework 1

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All Things Algebra®

Algebra 1 Unit 8: Quadratic Equations

This unit includes 88 pages of guided notes, homework assignments, four quizzes, a study guide, and a unit test that cover the topics listed in the description below.

• Description
• Additional Information
• What Educators Are Saying

This unit contains the following topics:

• Introduction to Quadratic Equations (Standard Form, Vertex, Axis of Symmetry, Maximum, Minimum) • Graphing Quadratic Equations by Table (Review of Domain/Range included) • Vertex Form and Transformations • Quadratic Roots (Identifying by Graphing) • The Discriminant • Solving Quadratic Equations by Factoring • Solving Quadratic Equations by Square Roots • Solving Quadratic Equations by Completing the Square • Solving Quadratic Equations by the Quadratic Formula • Review of all Methods • Applications: Area and Consecutive Integers • Projectile Motion • Linear vs. Quadratic Models

This unit does not contain activities.

This is the guided notes, homework assignments, quizzes, study guide, and unit test only.  For suggested activities to go with this unit, check out the ATA Activity Alignment Guides .

This resource is included in the following bundle(s):

Algebra 1 Curriculum Algebra 1 Curriculum (with Activities)

License Terms:

This purchase includes a single non-transferable license, meaning it is for one teacher only for personal use in their classroom and can not be passed from one teacher to another.  No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.  A t ransferable license is not available for this resource.

Copyright Terms:

No part of this resource may be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

What standards is this curriculum aligned to?

What format are the files in, will i have access to materials if they are updated, are answer keys included, are videos included.

I really appreciated the depth and various methods that this unit went into for solving quadratic equations. My child kept getting confused about the various methods and the individual practice and then the comparison practice really helped him.

-ELIZABETH B.

All Things Algebra is one of my favorite curriculums to use. The linear progression of the concepts, organization of the guided notes, and progressive difficulty of the practice problems makes using her resources for all spectrum of learners very straight forward. You are able to Tier the practice and assignments based on the student need by removing the problems you don't wish them to complete. (I typically did this by printing off the original and then using white out to eliminate problems.) I also love that she has the instructional videos for the notes. OMG - time saver! If a student was absent, I just had them watch the instruction video for notes and then we completed the practice problems together.

All Things Algebra units and activities always provide rigorous materials that help my students grasp the material. This was my first year teaching quadratics and I knew I needed to add this unit to my curriculum. Thank you for another great resource.