Algebra 1 Solving Quadratic Equations by Completing the Square in a PowerPoint Presentation.
This slideshow lesson is very animated with a flow-through technique. I developed the lesson for my Algebra 1 class, but it can also be used for upper level class reviews. This lesson teaches how to solve quadratic equations by completing the square and solve a real-life problem by using completing the square of quadratic equations to find distance away from the end of the diving platform a diver will normally enter the water.
The presentation has 33 slides with LOTS of whiteboard practice. Use as many or as few of the problems to help your students learn each concept. For more PowerPoint lessons & materials visit Preston PowerPoints
Students often get lost in multi-step math problems. This PowerPoint lesson is unique because it uses a flow-through technique, guided animation, that helps to eliminate confusion and guides the student through the problem. The lesson highlights each step of the problem as the teacher is discussing it, and then animates it to the next step within the lesson. Every step of every problem is shown, even the minor or seemingly insignificant steps. A helpful color-coding technique engages the students and guides them through the problem (Green is for the answer, red for wrong or canceled numbers, & blue, purple & sometimes orange for focusing the next step or separating things.) Twice as many examples are provided, compared to a standard textbook. All lessons have a real-world example to aid the students in visualizing a practical application of the concept.
This lesson applies to the Common Core Standard:
High School: Algebra » Reasoning with Equations & Inequalities A.REI.4a, A.REI.4b
Solve equations and inequalities in one variable.
4. Solve quadratic equations in one variable.
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.
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.
High School: Algebra » Seeing Structure in Expressions A.SSE.3b
Write expressions in equivalent forms to solve problems.
3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
High School: Functions » Interpreting Functions F.IF.8a
Analyze functions using different representations.
8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
a. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
Please note that these PowerPoints are NOT EDITABLE
. They WILL NOT
work with Google Slides, Adobe Connect, or LibreOffice. You will need a full version of the PowerPoint software.
If you need an alternative version because your country uses different measurements, units, slight wording adjustment for language differences, or a slide reordering just ask.
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*This lesson contains 19 problems. Each problem in this lesson uses several pages in order to achieve the animated flow-through technique.