HW: Complete Desmos: Polynomial Functions.

We played a 10 question Kahoot game on graphing polynomials. Students also played a matching game in class, called Desmos Polygraph Polynomials. Then students used the rest of class to work a Desmos: Polynomial Functions. We reviewed how to determine the "a" value of the polynomial.
HW: Complete Desmos: Polynomial Functions.
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We completed 4 columns, in our packet on graphing polynomials, where the graph was given and we determined the end behavior, zeros & multiplicity, and then its equation in factored form. We checked our equation using desmos to see if it matched our given graph. Students used this same process as they worked through 2 desmos activities: match my polynomial and polynomial functions in factored form.
Use the video links for review or practice: www.youtube.com/watch?v=Iva5GFghJoE https://www.youtube.com/watch?v=ICUWu4BvhTo www.youtube.com/watch?v=m9PM6Z2b55A www.youtube.com/watch?v=Mp55wMhgHtM https://www.youtube.com/watch?v=e7goaMfIxAU HW: Complete the 2 desmos activities. Turn in the math riddle (match the graph with the equation) if you have not done so. Students checked through their 3 problems in the Graphing Polynomials Packet. Then students completed the desmos activity: polynomial features & vocabulary. As a class, we discussed multiplicity and how it affects the graph at the x-intercept. Our conclusion was that a zero with an even multiplicity will turn or bounce at the x-axis while a zero with odd multiplicity will cut through the x-axis.
Use the videos for extra practice or review: www.youtube.com/watch?v=K5RgAbdxgDs www.youtube.com/watch?v=gA9_LPjcSoQ https://www.youtube.com/watch?v=v3Yzjt6YSY8 https://www.youtube.com/watch?v=PciYbwyN8ZM HW: Complete the matching activity (math riddle): What animal has more lives than a cat? Students received their Test #5 back today. Retakes must be completed by December 7th. We used our prior knowledge to make some simple graphs of even and odd degree polynomials (like y = x, y = x^2, and y = x^3). We used desmos.com to investigate the end behavior of cubic, quartic, quintic and other higher degree polynomials with lead coeffecients that were positive or negative.
We came up with this generalization: For polynomials with even degrees, if a> 0 then the end behavior is up, up. For polynomials with even degrees, if a< 0 then the end behavior is down, down. For polynomials with ODD degrees, if a> 0 then the end behavior is down, up. For polynomials with ODD degrees, if a< 0 then the end behavior is up, down. Use the links for review or practice: www.youtube.com/watch?v=jD-KEBl1z9k https://www.youtube.com/watch?v=S-KNbPZUTOE HW: Complete Demos : Polynomial Features and Vocabulary. Complete the 3 highlighted problems (factored or standard form & end behavior) on the Graphing Polynomials Packet. Students turned in any missing work and completed their test #5.
Have a Happy Thanksgiving! The partner quiz from last week was passed back. Students also received their math recommendations today. These will be re-examined in February/March.
Students were able to check their review from Friday with the answer key on their google classroom (Stream tab). We went over questions from the review as well as questions from the partner quiz last week. HW: Complete any missing work - test #5 is tomorrow, 11/20. Students received a review guide for their upcoming test on Tuesday, 11/20. They had the class period to work on it.
HW: Complete the review guide and any missing work. Students started class by working on an 8 questions DE Quiz on Polynomials. Then students worked with their partners to complete the partner quiz on polynomials. Lastly, students were divided up into 2 teams and we played Polynomial Jeopardy as review.
HW: Complete any missing work. Turn in WS Made in the Shade & WS Factors & Zeros. Our test is next Tuesday, 11/20. Students checked their work (9 - 16) on the process of factoring quartic trinomials that fit the pattern
ax^4 + bx^2 + c. Then we used our factoring skills to solve 6 polynomial equations on WS 5.3. Students then worked on problems 1 & 2 on the check for understanding (on the back of Made in the Shade Worksheet). Lastly, students worked with a partner on their quiz 7: operations with polynomials, factors & zeros. Use the video link for practice or review: https://www.youtube.com/watch?v=PHc8B6MuE8s https://www.youtube.com/watch?v=SNqTdD-vL2I https://www.youtube.com/watch?v=WJinpSDeuJY https://www.youtube.com/watch?v=_ghwoHfRH2E On the last part of the video, you have learned how to write with complex numbers so you can solve w^2 = -11 - use i. HW: Complete Made in the Shade Worksheet & 1 - 3 on the back. Students worked with a partner to identify which sum or difference of cubes were factored correctly. We checked this in class. Then we went over questions on WS 5.3 1 - 7. Students had factored these already and we looked at how to find the zeros. We used the zero product property again and some of the equations were solved in 1 or 2 steps. Other quadratics that were set equal to zero we used the quadratic formula or completing the square (when a = 1 and b = an even number). Some of these quadratic produced real solutions while other had complex solutions.
Use the video links for review or practice: https://www.khanacademy.org/math/algebra2/polynomial-functions/finding-zeros-of-polynomials/v/finding-roots-or-zeros-of-polynomial-1 HW: Complete the front side of the sum/difference of cubes puzzle |
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