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[Audio] M1L2: Solving Quadratic Equations by Graphing Today’s Vocabulary Quadratic equation. Standard form of quadratic equation. Learning outcomes: Solve quadratic equation by graphing. Success criteria: Some students Get above 90% in the Alef Exit ticket. All students Get above 60 % in the Alef exit ticket. Most student Get above 70 % in the Alef exit ticket. Student Book P. 13 Alef.

[Audio] Class roadmap Starter Big Idea 5 Min Teacher Explain 10 Min Alef Check My Understanding 10 Min Students Group Activities 15 Min Alef Exit Ticket 5 Min.

[Audio] M1 L2 Solving Quadratic Equations by Graphing Starter Find the x-intercept(s) of each function. 2. 1. L.O: Solve quadratic equation by graphing. S.C: All students Get above 60 % in the Alef exit ticket. Most student Get above 70 % in the Alef exit ticket. Some students can Get above 90% in the Alef Exit ticket Student Book P.13.

[Audio] Learn Solving Quadratic Equations by Graphing A quadratic equation is an equation that includes a quadratic expression. Key Concept: Standard Form of a Quadratic Equation One method for finding the roots of a quadratic equation is to find the zeros of a related quadratic function. You can identify the solutions or roots of an equation by finding the x-intercepts of the graph of a related function. Often, exact roots cannot be found by graphing. You can estimate the solutions by finding the integers between which the zeros are located on the graph of the related function..

[Audio] Example : Solve Quadratic Equations. Worksheet P.7 Use the related graph of each equation to determine its solutions. 1. x2 + 2x + 3 = 0 2. x2 ‒ 3x ‒ 10 = 0 3. –x2 ‒ 8x – 16 = 0 no zeros no real solution The zeros are −2 and 5. The solutions are −2 and 5. The zeros is −4. The solutions is −4..

[Audio] Example : Solve Quadratic Equations. Axis of symmetry vertex The zeros of the function are 3 and 7. Therefore, the solutions of the equation are x = 3 or x = 7..

[Audio] Example 1 : One Real Solution x y Axis of symmetry vertex.

[Audio] . Check Solve x2 + 7x = 31x 144 by graphing. x — _ 12.

[Audio] M1 L2 Solving Quadratic Equations by Graphing Example 2 : Two Real Solutions Worksheet P.8 Use a quadratic equation to find two real numbers with a sum of 24 and a product of 143. L.O: Solve quadratic equation by graphing. x y 14 3 13 0 12 11 0 10 3 S.C: All students Get above 60 % in the Alef exit ticket. Most student Get above 70 % in the Alef exit ticket. Axis of symmetry Some students can Get above 90% in the Alef Exit ticket vertex Student Book P.13.

[Audio] . Check Use a quadratic equation to find two real numbers with a sum of and a product of 306. — and —9 —34 —43.

[Audio] M1 L2 Solving Quadratic Equations by Graphing Example 3 : Estimate Roots Worksheet P.8 L.O: Solve quadratic equation by graphing. S.C: All students Get above 60 % in the Alef exit ticket. Most student Get above 70 % in the Alef exit ticket. Some students can Get above 90% in the Alef Exit ticket Student Book P.13.

[Audio] . Check Use a graph to find all of the solutions of x2 + 9x 5 = 0. Select all of the pairs of consecutive integers between which the roots are located. between -10 and -9, between 0 and 1.

[Audio] M1 L2 Solving Quadratic Equations by Graphing Check your understanding: P.9 Solve each equation by graphing. If the exact roots cannot be found, state the consecutive integers between which the roots are located. L.O: Solve quadratic equation by graphing. 18. ‒x2 ‒ 4x = 0 S.C: All students Get above 60 % in the Alef exit ticket. Most student Get above 70 % in the Alef exit ticket. Some students can Get above 90% in the Alef Exit ticket Student Book P.13.

[Audio] one solution is –4, and the other solution is 0..

[Audio] Alef. Alef. L.O:. Solve quadratic equation by graphing..