Enjoy the weekend!
Students turned in their study guide, WS Graphing in Factored Form, and took their second test (4.4 - 4.5).
Enjoy the weekend!
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We went over the 4.4 - 4.5 study guide that students received on Tuesday. The solutions are posted on the algebra 3-4 page (click the tab).
HW: Turn in your study guide 4.4 - 4.5 and any missing work. Test 4.4 - 4.5 is tomorrow, 10/13. Student completed their WS Graphing in Factored Form from last Friday. We checked the first & second page together. Students also received a study guide for 4.4 - 4.5. This should be completed by Thursday, 10/12. Test will be this Friday, October 13th.
We went over questions from yesterday's 12 question review and the WS Circuit Training - Solving Quadratics by Factoring. Also, we completed our notes on graphing using intercept form which contained 5 examples. We saw how we could fairly easily create the graph from the factored form and easily found the x-intercepts. Then we found the axis of symmetry by averaging the x-intercepts. Then we used that value to determine the vertex. We used the "a" value to determine another 2 quick points on the graph. We were reminded that a y-intercept can be found by letting x = 0.
Use the link below for more practice on intercept form: https://www.youtube.com/watch?v=xCpURXGLbuE https://www.youtube.com/watch?v=SRAp7hQJi3E https://www.youtube.com/watch?v=IR56CnowYuA this has many examples including the one we did in class Then students completed their Quiz 4.5. HW: Complete the first page (front & back) of the WS Graphing in Factored Form. Students completed a 20 question review of factoring and finding the zeros of a function by using Kahoot. We went over questions from yesterday's Circuiit Training Worksheet. This was collected.
Our Quiz 4.5 is tomorrow, 10/6. Please complete today's 12 question review. Check by scanning the QR code. Turn in any missing work. Students had a work day in class. They completed their book 4.5 assignment. Then they were to complete the WS circuit training on solving quadratics by factoring.
HW: Turn in any missing work! Quiz 4.5 is tomorrow, 10/5. Test will be next week, 10/13. Students checked their work from last night on rewriting the quadratic function in intercept (factored) form. Then they found the zeros by using the zero product property.
Students had time to work on the book 4.5 assignment in class and they were to also complete the exit slip #3. HW: Complete book 4.5 assignment We looked at using the guess and check method to find a value between 0 - 10 where f(x) = x^2 - 7x - 18 would equal 0. Students found that when x = 9, f(9) = 0. This raised the question if there was a more efficient way and if there were any other zeros, besides 9. We decided to look at the graph of f(x) = x^2 - 7x - 18 using desmos. This also revealed another zero that we didn't find looking at values between 0 & 10.
Key point: a zero of a function is the value that makes the output of the function 0. Graphically, the real zeros of a function are the x-intercepts. We looked at f(x) = x^2 - 7x - 18 graphically and found the other x-intercept was -2. Which told us f(-2) = 0. Then we noticed that if we factored f(x) = x^2 - 7x - 18, we'd have f(x) = (x + 2)(x - 9). Using the zero product property we could find the zeros by solving x = 2 = 0 or x - 9 = 0. We completed the first 2 pages of the 4.5 notes. Use the links for additional practice/help https://www.khanacademy.org/math/algebra2/polynomial-and-rational/quad_factoring/v/example-1-solving-a-quadratic-equation-by-factoring https://www.youtube.com/watch?v=SDe-1lGeS0U http://www.purplemath.com/modules/solvquad.htm http://www.regentsprep.org/regents/math/algtrig/ate3/quadlesson2.htm HW: Complete the attached (to your notes) worksheet - do both sides. ALso turn in the 2 person puzzles from last Friday as well as any Circuit Training Worksheets. |
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