Common Core Algebra I.Unit 8.Lesson 1.Introduction to Quadratic Functions
Middle school / math / algebra.
emathinstruction
Sep 20, 2016
In this lesson we learn the basics of quadratic functions and the terminology associated with them. Graphing calculators are used to construct tables of values for plotting parabolas.
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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.
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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.
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Unit 12: Introduction to quadratic functions
Intro to quadratics & parabolas.
- Parabolas intro (Opens a modal)
- Interpreting a parabola in context (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!
Equivalent quadratic expressions
- Multiply monomials by polynomials: Area model (Opens a modal)
- Multiplying binomials: area model (Opens a modal)
- Multiplying binomials intro (Opens a modal)
- Warmup: Multiplying binomials (Opens a modal)
- Multiplying binomials (Opens a modal)
- Multiply monomials by polynomials (basic): area model Get 3 of 4 questions to level up!
- Multiply binomials: area model Get 3 of 4 questions to level up!
- Multiply binomials intro Get 3 of 4 questions to level up!
- Multiply binomials Get 3 of 4 questions to level up!
Graphing from the factored form
- Graphing quadratics in factored form (Opens a modal)
- Graph quadratics in factored form Get 3 of 4 questions to level up!
Graphs that represent situations
- Interpret a quadratic graph (Opens a modal)
- Quadratic word problems (factored form) (Opens a modal)
- Interpret a quadratic graph Get 3 of 4 questions to level up!
- Quadratic word problems (factored form) Get 3 of 4 questions to level up!
Graphing from the vertex form
- Vertex form introduction (Opens a modal)
- Graphing quadratics: vertex form (Opens a modal)
- Graph quadratics in vertex form Get 3 of 4 questions to level up!
Changing the vertex
- Intro to parabola transformations (Opens a modal)
- Shifting parabolas (Opens a modal)
- Scaling & reflecting parabolas (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 Equations (Algebra 1 Curriculum - Unit 8) | All Things Algebra®
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Description
This Quadratic Equations Unit Bundle contains guided notes, homework assignments, four quizzes, study guide and a unit test that cover 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
ADDITIONAL COMPONENTS INCLUDED:
(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice. Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.
(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes; this is the PDF in Google Slides. I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead!
Please download the preview to see a sample outline along with a collage of some of the pages.
This resource is included in the following bundle(s):
Algebra 1 Second Semester Notes Bundle
Algebra 1 Curriculum Algebra 1 Curriculum (with Activities)
More Algebra 1 Units:
Unit 1 – Algebra Basics
Unit 2 – Multi-Step Equations & Inequalities
Unit 3 – Relations & Functions
Unit 4 – Linear Equations
Direct & Inverse Variation (Mini-Unit)
Unit 5 – Systems of Equations & Inequalities
Unit 6 – Exponents and Exponential Functions
Unit 7 – Polynomials & Factoring
Unit 9 – Linear, Quadratic, and Exponential Functions
Unit 10 – Radical Expressions & Equations
Unit 11 – Rational Expressions & Equations
Unit 12 – Statistics
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they 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. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].
COPYRIGHT TERMS: This resource may not 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.
© All Things Algebra (Gina Wilson), 2012-present
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We will also introduce some important terminology. Exercise #3: Consider the quadratic function y x. 2. 2 x 8 . (a) Using your calculator to help generate a table, graph this parabola on the grid given. Show a table of values that you use to create the plot. y. (b) State the range of this function. x.
Lesson #4 Homework 1. Write each quadratic in vertex form by Completing the Square. Then, identify the quadratic's vertex (turning point). (a) y = x2 —12x +40 (c) y = x 2 — 24x+146 (b) y = x2 + 4x+ 14 (d) y —8x+6 cable is attached at the same height from two poles and hangs between them such that its height above the
Unit 8 - Quadratic Equations: Sample Unit Outline TOPIC HOMEWORK DAY 1 Introduction to Quadratic Equations: Standard Form, Axis of Symmetry, Vertex, Minimum, Maximum HW #1 DAY 2 Graphing Quadratic Equations HW #2 DAY 3 Vertex Form of a Quadratic Equation; Transformations HW #3 DAY 4 Quiz 8-1 None DAY 5 Quadratic Roots and the Discriminant HW #4
In this lesson students first learn how to graph a simple quadratic by hand and then graph a more complex one using calculator technology. Through this, stud...
Unit 8 - Solving Quadratic Equations. Unit 8 - Videos. Lesson 1 (stop at 3:05) Lessons 2 - 4. Lessons 6 (stop at 6:45) Lesson 8 (start at 6:50) Lessons 9-10. Lesson 12. Lesson 13. Lesson 14. Unit 8 - Answer Keys. Lesson #1 Simplifying Radicals Lesson #2 Intro to Quadratics (Day 1) ... Unit 8 - Blank Lessons
UNIT 8 QUADRATICS HOMEWORK I DATE Homework 1: Introduction to Quadratics Directions: Answer all questions. Show all work! !! Learning Target: I CAN identify key features of a quadratic equation. Directions: Complete the following statements. 1. The standard form of a quadratic equation is 2. The curve formed by a quadratic equation is called a 3.
Homework 1: Introduction to Quadratics. Directions: Complete the following statements. 1. The standard form of a quadratic equation is _____. 2. The curve formed by a quadratic equation is called a ... Unit 8: Quadratic Equations. Date: _____ Homework 2: Graphing Quadratic Equations. Graph each quadratic equation using a table of values. ...
The quadratic formula can be used to determine the solutions of a quadratic equation 𝑎x^2 + 𝑏𝑥 + 𝑐 = 0, where 𝑎 ≠ 0. rational number. Rational numbers are numbers that can be written as a fraction with an integer numerator and denominator. square root. The square root of a number 𝑛 is the positive number which can be squared ...
Name: _____ Unit 8: Quadratic Equations Date: ... _____ Homework 1: Introduction to Quadratics. Directions: Complete the following statements. 1. ... Directions: Find the axis of symmetry and vertex for the following quadratic equations. Then, sketch
Unit 8 Test Study Guide Name: (Quadratic Equations) Date: Topic 1: Graphing Quadratic Equations (from Standard Form and Vertex Form) Graph each equation using a table of values. Identify all key characteristics. x- Per: 1. -2x-5 2.11) -2 Axis of Symmetry: Domain: y = 2x2 + Axis of Symmetry: Domain: Axis of Symmetry: Domain: Vertex: Range ...
Solve by completing the square: Non-integer solutions. Worked example: completing the square (leading coefficient ≠ 1) Solving quadratics by completing the square: no solution. Proof of the quadratic formula. Solving quadratics by completing the square. Completing the square review. Quadratic formula proof review.
A L G E B R A 1 Unit 8: Factoring (Solving Quadratics by Factoring) Day Lesson Topic Textbook Section Homework 1 U8: L1 (Notes) Factoring Polynomials Method: Greatest Common Factor (GCF) n/a Factoring Packet # 1 - 19 ODDS ... 10.4 Unit 8 Practice Quiz 1 6 U8: QUIZ 1 QUIZ 1 n/a "Lab Prep" & Study Island 7 U8: L4.1 ...
Unit 8: Quadratics Lesson 1: Introduction to Quadratic Equations and Functions Objectives: I can graph quadratic functions. I understand the difference between linear functions and quadratics I can identify the x-intercepts, y-intercept, vertex and axis of symmetry. I can identify functions in real-life. Agenda: Video
Common Core Algebra I.Unit 8.Lesson 1.Introduction to Quadratic Functions Middle School / Math / Algebra. emathinstruction. Sep 20, 2016. 6844 views. Algebra. In this lesson we learn the basics of quadratic functions and the terminology associated with them. Graphing calculators are used to construct tables of values for plotting parabolas.
Common Core Standard: A-SSE.A.2, A-SSE.B.3, A-APR.B.3, F-IF.B.4, F-IF.C.7, F-IF.C.8
1 Unit 8 Notes: Solving Quadratics by Factoring Alg 1 ... NOTE: You should be prepared for daily quizzes. Every student is expected to do every assignment for the entire unit, or else Homework Club will be assigned! (Students with 100% Homework completion at the end of the semester will be rewarded ... 8.1 Introduction to Polynomials Monomial ...
Only a nontransferable license is available for this resource. 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. View more like this: Algebra 1, Algebra 1 Units. Description.
The term " quadratic " was briefly introducted in the section on Polynomials. Quadratics are polynomials of degree two. That is, the largest exponent on the variable is 2. "Quadratic" expressions also appeared under Factoring, in the categories of binomials and trinomials. x2 - 64 = ( x + 8) ( x - 8) ( x + 6) 2 = x2 + 12 x + 36 x2 - x - 12 ...
Quadratic equations (part 1) Unit 14. Quadratic equations (part 2) Unit 15. Quadratic equations (part 3) Course challenge ... Unit 12: Introduction to quadratic functions. 1,200 possible mastery points. Mastered. Proficient. Familiar. Attempted. Not started. Quiz. Unit test. Parabolas intro; Interpret parabolas in context; Multiply monomials by ...
Questions & Answers. This Quadratic Equations Unit Bundle contains guided notes, homework assignments, four quizzes, study guide and a unit test that cover the following topics:• Introduction to Quadratic Equations (Standard Form, Vertex, Axis of Symmetry, Maximum, Minimum) • Graphing Quadratic Equations by Table (Revie...
In this lesson, students learn the basic form of a quadratic function and graph some examples from their formulas. Terminology such as turning point and axis...