The animated power point key is a new edition to this lesson. It enables the whole class to check their answer as they go. It is colorful, and some parts of the key explain how to do the problem. This really saves me time as a teacher. Furthermore, students love it when I project the answers onto a smart board or promethean board so they can check their answers as they go. It helps them learn better and see their errors more quickly. It also leads to great class discussions.
Note : Students will need a graphing calculator for certain parts of this lesson.
Product Description: Students are always more engaged and excited in math class when the data they are analyzing has real world significance. That is why this 8-page activity opens up with a table that shows the approximate population of some states along with the number of members each state has in the House of Representatives. The information is based on the 2010 census.
Students will have to make a scatter plot of this real world data and then decide if the scatter plot shows positive, negative, or no correlation. Students will then draw a best-fit line through the data. Students will then use a graphing calculator to determine the equation for the line of best fit. Students are given step-by-step instructions of how to enter the data into L1 and L2 of the graphing calculator, and how to use the linear regression feature to generate the equation. The directions are specifically for the TI-84 calculator.
Then using their graph and equation, students will estimate how many house members various states have based on the 2010 population. They will then use their equation to estimate the total population of the United States based on the fact that there are a total of 435 house members. Students will be encouraged to search the Internet to see how accurate their answers are.
Students will also graph data relating the population of various states to the number of United States senators. Student will quickly realize that the number of senators is always 2 no matter the population size, and therefore the slope or rate for this scenario is 0.
The lesson closes with a table showing the relationship between time and money. Students will see a negative correlation here, and again have the opportunity to draw a best-fit line and generate an equation with the graphing calculator.
My students were so engaged during this activity that they wanted to continue working on it after class had ended! I hope your students are just as engaged.
Note:The zipped file contains the 1- page “instructions for use please read” file, the 8-page student packet, the PowerPoint key that contains 24 animated slides, and the 8-page"regular" key. The instructions, lesson, and "regular" key are PDF files. The slides are done in PowerPoint. There is also 1 page on copyright information.