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Algebra 1 Solving Quadratic Equations {Bundle} in a PowerPoint Presentation

This is a bundle include the five PowerPoint lessons below and one Quiz Show game, Jeopardy Style, for review.

Solving Quadratic Equations by Graphing A.REI.4b, A.REI.11

Solving Quadratic Equations Using Square Roots A.REI.4b

Solving Quadratic Equations by Completing the Square A.REI.4a, A.REI.4b, A.SSE.3b, F.IF.8a

Solving Quadratic Equations Using the Quadratic Formula A.REI.4a, A.REI. 4b

Solving Systems of Linear and Quadratic Equations A.REI.7

Quiz Show Game Solving Quadratic Equations A.REI.4, A.REI.4a, A.REI.4b, A.REI.7, A.REI.11, A.SSE.3b, F.IF.8a

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 Review lesson applies to the Common Core Standard:

High School: Algebra » Reasoning with Equations & Inequalities A.REI.4, A.REI.4a, A.REI.4b, A.REI.7, A.REI.11

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.

Solve systems of equations.

7. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.

Represent and solve equations and inequalities graphically.

11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

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. You will need 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.

** Are you looking for the Algebra 1 Curriculum Bundle?** Click here!

**This resource is for one teacher only. ** You may not upload this resource to the internet in any form. Additional teachers must purchase their own license. If you are a coach, principal or district interested in purchasing several licenses, please contact me for a district-wide quote at prestonpowerpoints@gmail.com. This product may not be uploaded to the internet in any form, including classroom/personal websites or network drives.

This is a bundle include the five PowerPoint lessons below and one Quiz Show game, Jeopardy Style, for review.

Solving Quadratic Equations by Graphing A.REI.4b, A.REI.11

Solving Quadratic Equations Using Square Roots A.REI.4b

Solving Quadratic Equations by Completing the Square A.REI.4a, A.REI.4b, A.SSE.3b, F.IF.8a

Solving Quadratic Equations Using the Quadratic Formula A.REI.4a, A.REI. 4b

Solving Systems of Linear and Quadratic Equations A.REI.7

Quiz Show Game Solving Quadratic Equations A.REI.4, A.REI.4a, A.REI.4b, A.REI.7, A.REI.11, A.SSE.3b, F.IF.8a

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 Review lesson applies to the Common Core Standard:

High School: Algebra » Reasoning with Equations & Inequalities A.REI.4, A.REI.4a, A.REI.4b, A.REI.7, A.REI.11

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.

Solve systems of equations.

7. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.

Represent and solve equations and inequalities graphically.

11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

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

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.

Total Pages

*400

Answer Key

N/A

Teaching Duration

N/A

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