For this project, you need to the simple outline of a cartoon character, such as Pikachu, or one of the Power Puff Girls. The simpler and more angular the character's outline is, the easier the project will be. Next, draw an X-axis and a Y-axis on a piece of graphing paper. Then, use the outline of the character as a reference to sketch an even more rudimentary outline of the cartoon character on the graph paper, making a dot at each point where the lines connect. It should resemble the game connect the dots, with the dots already connected to form a general shape of the cartoon character. Write the location of the points next to each dot, for example, one dot might be located at (4, 2). Then, use each dot to calculate the y-intercept and the slope, and write the equations next to each corresponding line.
You will need to have a cricket available, or at least nearby for this project. The frequency of a cricket's chirping corresponds to the temperature. As a result, you can use a linear equation to calculate the temperature from the frequency of a cricket's chirping. First, listen to the cricket and count how many times it chirps within one minute. Next, input the number of chirps per minute as the x, in the linear equation y = 0.20x + 6, and solve for y. This will be the approximate temperature in Celcius. To convert Celcius to Fahrenheit, multiply the number by 9, then divide the resulting number by 5, and then add 32.
You will need to form a group of two to four people. Brainstorm ideas for a board game that you can play with linear equations and a die. You'll need to come up with the rules for the game. For example, you could make a simple game with the rule that after you roll the die, you have to input the number as x in the linear equation y = 4 + 3x - 8, and the resulting number is the amount of spaces you have to move ahead or backward on the board. The person who gets to the finish line first wins. After you've come up with your linear equation game rules, make the game board using poster board and markers or paints, according to your plan. You should have a die available to play, as well as some kind of place markers. After you construct your game, either play it in your group or trade games with another group so that you can become familiar with different rules and equations.
Create a simple linear equation, such as y = 4x + 3. Then draw an x-axis and a y-axis on a sheet of graph paper. Roll a die to get a number between 1 and 6. Input the number as x in the equation. So, if you rolled a 5, for the equation y = 4x + 3, x would equal 5 and y would equal 23. Put a dot on the intersection of the x and y points you determined on the graph. Roll the die again and input the result for x, then solve the equation for y, and graph your result. Continue this process 18 more times, for a total of 20 times, and see if there is any spot on the graph where your results are more dense. Do the points tend to gather, or are the points spread evenly across the graph?