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Exploring Quadratics

Learn how to solve quadratic equations, graph parabolas, and solve real world quadratic problems.
Elizabeth Kretsch
Average rating:
5.0
Number of reviews:
(131)
Star Educator
Class

What's included

4 live meetings
3 hrs 20 mins in-class hours

Class Experience

Exploring quadratics investigates solving quadratics, graphing quadratic equations and real world applications.   The lessons begin by identifying and defining a quadratic equation. Two methods to solve a quadratic equation, factoring and the quadratic formula, are explained with step by step illustrations.  Next, a graphing activity creates the visual representation of the quadratic equation.  Real world problems are formulated and solved using the the methods learned.  The lessons end with the learners creating a mind map of quadratics to visually summarize the concepts and relationships.

Each lesson begins with an opening activity to prepare for the topic in the lesson  Questions on the homework from the previous lesson will be discussed, if requested.  An activity or interactive discussion is used to explain the concept of the week.  Example problems follow and are illustrated with step by step instructions.  Finally, learners work in pairs or individually to apply the methods and strategies in the lesson.   Learners are encouraged to share their solutions and workings for these exercises with the group.   The lesson ends with an assessment activity, for example a fun true false task, to check understanding.

Week One     Solving quadratic equations by factoring
Week Two     Solving quadratic equations using the quadratic formula
Week Three   Graphing quadratic equations
Week Four     Real world applications with quadratics

The lessons use slides for visual support, discussions, and activities.  Pre-Algebra or a similar course is a prerequisite. Learners may enroll who are currently taking a Pre-Algebra course.

Learning Goals

Learners can solve quadratic equations by factoring.
Learners can solve quadratic equations using the quadratic formula.
Learners can graph quadratic equations.
Learners can solve real world applications with quadratic equations.
learning goal

Other Details

Supply List
Paper, pencil, and calculator.  
We will use the websites www.desmos.com and www.quizziz.com during the lessons.  No account is necessary.
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Sources
Paper, pencil, graph paper, and calculator.
Joined June, 2020
5.0
131reviews
Star Educator
Profile
Teacher expertise and credentials
Non-US Teaching Certificate in Mathematics
Master's Degree in Mathematics from University of North Carolina
Master's Degree in Secondary Education from University of Leiden, NL
Bachelor's Degree in Mathematics from College of William and Mary
I am a passionate educator with a love for teaching and tutoring mathematics.  I am a certified secondary mathematics teacher who has guided learners from 10 to adults since 2012.  I specialize in helping learners overcome common stumbling blocks encountered in middle school and high school math.  I provide individual support through one-to-one tutoring sessions and offer weekly small group lessons covering core math subjects.

I have a bachelor’s degree in math and computer science and master’s degrees in operations research and secondary mathematics education.   This extensive background enables me to offer a comprehensive approach in my math lessons.  I have a passion for international education.  I have taught and tutored students from diverse cultural backgrounds in the Netherlands, England, the United States, and through online platforms worldwide.  I embrace the opportunity to incorporate the experiences of my learners into my math lessons, thus creating a globally enriched learning environment.  

In my classroom, I guide learners to become active participants and explore math concepts through investigations.  I encourage students to share their ideas during the lessons to build their mathematics skills, confidence and communication abilities.  When tackling math problems together, I encourage discussing strategies and alternative methods to develop critical analytical thinking.  This approach ensures that all learnings’ styles with the class are acknowledged and addressed. 

Teaching for me is similar to working on a complex puzzle.  With each question posed by a learner, I search to identify their knowledge gaps and connect the missing puzzle pieces.  I formulate clear explanations and guidance by asking probing questions that direct learners towards the solution.  I am committed to lifelong learning and continuously review and refine my teaching strategies based on student feedback and questions. 

I am excited to explore the world of mathematics with your learner.

Reviews

Live Group Class
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$60

for 4 classes

1x per week, 4 weeks
50 min
Completed by 4 learners
Live video meetings
Ages: 13-17
3-6 learners per class

This class is no longer offered
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