Module 3: Solving Quadratic Equations
Overview
This Module helps students to explore the process of solving quadratic equations. Students will use mathematical modeling and reasoning to make connections to solving systems of equations. Students will complete various activities from watching Youtube videos to completing Google Docs and FlipGrids explaining their rationale. Students will also read articles to analyze applications of solving systems of equations and follow along with Khan Academy and Emaze presentations.
Solving Quadratic Equations
Module 3:
Solving Quadratic Equations
Teacher Version
- Each Lesson is made to be used within a 50 minute period.
- Each Module is made to be completed within a 5-day week.
- Each Module is based on some of the material from the Open Stax Elementary Algebra 2e: https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/ElementaryAlgebra2e-WEB_1.pdf
- Some of the questions are based on this textbook: http://www.wallace.ccfaculty.org/book/Beginning_and_Intermediate_Algebra.pdf
- Google Classroom that supports these lessons can be accessed with code: lpazqtb
Standards:
Technology:
EMPOWERED LEARNER 1C- Students use technology to seek feedback that informs and improves their practice and to demonstrate their learning in a variety of ways.
CREATIVE COMMUNICATOR 6C- Students communicate complex ideas clearly and effectively by creating or using a variety of digital objects such as visualizations, models, or simulations.
Mathematics:
CCSS.MATH.CONTENT.HSA.REI.B.4- Solve quadratic equations in one variable.
CCSS.MATH.CONTENT.HSA.REI.B.4.A- Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions. Derive the quadratic formula from this form.
CCSS.MATH.CONTENT.HSA.REI.B.4.B- Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
CCSS.MATH.CONTENT.HSA.CED.A.1- Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
CCSS.MATH.CONTENT.HSA.SSE.B.3.A- Factor a quadratic expression to reveal the zeros of the function it defines.
CCSS.MATH.PRACTICE.MP2-Reason abstractly and quantitatively.
CCSS.MATH.PRACTICE.MP4-Model with mathematics.
CCSS.MATH.PRACTICE.MP6-Attend to precision.
Daily Outline:
Day 1: QUADRATIC FORMULA
- (30 minutes) Students will follow along with the Powerpoint presentation that introduces them to solving quadratic equations with the quadratic formula.
- https://docs.google.com/presentation/d/19_PvCH3nGPaglO8NJwBrkuM15wlSNFRTc84V5KVxhsI/edit#slide=id.p1
- (5 minutes) Students will watch a Youtube video that plays a song to help students memorize the quadratic formula.
- (15 minutes) Students will complete a Google Forms exit slip over the quadratic formula.
Day 2: SQUARE ROOTS METHOD
- (20 minutes) Students will follow a Khan Academy Youtube video that will show an example of solving quadratic equations using the square root method.
- (30 minutes) Students will follow the Emaze presentation that will show them how to use the square root method and when to use it.
Day 3: COMPLETING THE SQUARE
- (10 minutes) Students will read the article about how and when to use the complete the square method.
- (10 minutes) Students will watch a video of me giving an example of using the complete the square method.
- (15 minutes) Students will complete the Kahoot Review Game that will assess their knowledge of using completing the square.
- (15 minutes) Students will complete the exit slip for completing the square.
Day 4: FACTORING AND ZERO PRODUCT PROPERTY
- (35 minutes) Students will follow along with the Emaze presentation that will introduce the factoring method and the zero product property.
- (15 minutes) Students will complete the exit slip for the day.
Day 5: Applications Day
- (10 minutes) Students will watch the Youtube video that will go through an example that is like the quadratic applications they will work on next.
- (40 minutes) Complete the Quadratics Application worksheet in the Google Doc.