Happy Valentines Day! My students LOVED this activity that I found on-line last Friday. (The credit is on the first page of the activity!) There are four pages total. Print each page in a different color. Each page has either 12 equations in vertex form, 12 graphs, 12 axis of symmetry, or 12 vertexes. The goal is to match the aos, vertex, and graph to each equation. It is a great and FUN activity that students can work on together instead of writing the problems down. The different color paper helps students realize what information is missing. It is a quick 6-8 minute activity. This includes explanation and clean-up. I time each class to see who finish in the least amount of time. I used this is a warm-up but it would also be a great summary tool at the end of class. Hope your students LOVE this as much as mine did!
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I picked up some food at Wendy's during the spring in 2009. The bag my food was in (picture above) had the following phrase: "We figured out that there are 256 ways to personalize a Wendy's hamburger. Luckily someone was paying attention in math class." I began to wonder how did the marketing team come up with that number? I began to realize that the topic I was soon teaching my 9th graders, permutations and combinations, was more than sufficent math to calculate the number of ways to personalize a Wendy's hamburger. I developed a project based around the bag. In class, we discussed the number of toppings available at Wendy's (9 total) and then decided to use combinations to figure out the number of arrangements possible since order does not matter. Students could easily answer those questions. The hardest part for students was how to set up the calculations. You find the number of combinations of 9 objects (toppings) taken 0 at a time (the number of hamburger personalizations with nothing on it), the the number of combinations of 9 objects (toppings) taken 1 at a time (the number of hamburger personalizations with 1 topping), and continue the process till the 9 are taken at a time (the number of hamburger personalizations with all toppings). Students typically pick up the pattern once started. I let my students use their scientific calculators to solve. 9C0 = 1 9C1 = 9 9C2 = 36 9C3 = 84 9C4 = 126 9C5 = 126 9C6 = 84 9C7 = 36 9C8 = 9 9C9 = 1 Total: 512 ways to personalize a Wendy's hamburger The bag is wrong! I then have students write a letter to Wendy's, requesting the bag to be changed. (They will not, appartently enough bags have been printed for the next 5 years!) I have a rubric to grade the letters and set the peramertors of the letter. This is what I count as the project grade. Each student brings 2 copies of the letter so that I can grade one and send another to Wendy's. Your students get a coupon for a special treat! The activity is a great way to show how permutations/combinations is used in everyday life and in various fields. I have always gotten a positive response to the project and how many times are you given a free frosty at school? EXTRA CREDIT/EXTENSION: Why does the bag say there are 256 ways to personalize a hamburger? Show the math to support your answer. Handouts used in class:
During a session at the Tennessee Independent School Association conference last fall in Chattanooga, TN I was introduced to the idea of 'chalking.' Teachers at Baylor School said that whenever a pretty day came up you could expect to see math problems worked out around the school's campus in chalk. I knew my girls at Hutchison would love this! So this past spring when the weather was nice we would go outside and chalk. I divided the class into groups of 2-4 and gave each group a different problem and 1 piece of chalk (to cut down on non-related ground decorating.) The girls LOVED it!!! I found it helpful to do the problems that got the most 'ughs' with chalk. The joy of being outdoors and writing with chalk got rid of those. For my Pre-Algebra 2 students we did triangles and my Algebra kids did DRT problems. The beauty with chalk is that when it rains, its gone! No clean-up. The girls did a great at staying on task and following directions. I also enjoyed the change in scenery and the extra Vitamin D. ___ |
Natalie Turbiville
Educator who loves math and working with students. Archives
May 2016
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