Discovery activities for algebra 2
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For example, the July 2008 Consumer Reports magazine contained the following data from tests they performed on the Toyota Camry. What is the constant rate of change in fuel economy with respect to speed? Games break the monotony of taking notes and solving problems, taking notes and solving problems. Chirps per 15 seconds Temperature °F Temperature °C 15 20 25 30 55 60 65 70 o. Find this value and record it below, rounding to the thousandths place. So you begin to construct a table and record the following data.

Set your table so that the input values are the temperatures in degrees Fahrenheit and record the output temperatures in degrees Celsius in the third row, rounding to the tenths place. Suppose the total number of credits a student takes is represented by the variable n and the cost to attend City College is represented by the variable C. This means the quantities most likely exhibit a linear relationship and that the regression line has a positive slope. Your goal is to build a garden with dimensions that will produce the maximum amount of area. Find an equation that gives the reaction distance R in feet as a function of the speed x in miles per hour. The table below contains data from the U.

If the number of chirps is used to determine the temperature, then state the independent variable or input and the dependent variable or output. Unit Circle Discovery The unit circle is generally a circle used in trigonometry with a radius of one. Use the points selected in part f to find the slope of your best fit line. First find the answer by solving an equation algebraically. Contextual situations will provide the need to find values of trigonometric functions by using given points on the terminal sides of standard position angles. Find the x-value that satisfies the equation,.

What is the rate of change or slope? You will learn about Numbers, Polynomials, Inequalities, Sequences and Sums, many types of Functions, and how to solve them. Find a second equation that gives the time in minutes as a function of the rate R to travel the distance between Center City and Pythagorean Airport. What is the practical range of the area function? How do the two rules compare in estimating temperature by counting the number of chirps made by a cricket? Write a linear equation that gives the fine y in terms of the speed x. Verify your answer to part j algebraically by substituting the given input value of 77 into the equation found in part h and evaluating the resulting expression. Solve this quadratic equation by factoring.

And how do you go about learning it? The independent variable determines the value of the dependent variable. Suppose we consider speed to be a variable represented by R for rate in mph and let be time in hours. As the speed of the Camry increases by 10 mph, what happens to the fuel economy? You are going 70 mph but most of the surrounding cars are moving faster. I teach factoring by grouping earlier in the unit, so once students get to this point in the problem, they are able to just apply the factoring by grouping method to finish the problems. Ask each group to choose a runner. Describe any patterns you observe in the table above.

The first group to get all of their questions correct wins three points. What is the practical domain for the equation you created in part g? Explain what the answer to part j indicates about the bookstore situation. A simple way to create a review worksheet is to merge previous assignments into one, and then scale the number of questions to 24. Develop a second equation by substituting the expression for y, found in part b, in the area equation given below. Using these variables, setup two equations for the incomes from Companies A and B. Hint: Find b by substituting the slope m, found in part f , and a given point from the data table into and then solve for b. What is the first x-value or speed for which the equation makes sense? Have them move their desks together.

In this unit, students will expand their understanding of trigonometry as they are asked to use the circle to define the trigonometric functions. All of the answers must be written on the paper you gave them. Label the side opposite the house as y and the two sides connecting the y-side to the house as x. Explain why it is important to analyze the population data of a country, state or town. What is the practical domain of the area function? This should give you an idea of the time of travel between the highway and High Tech Place at different speeds.

If a team submits wrong answers three times then they are disqualified from that round. What are the two related variables in this problem situation? If the cost to attend State College is represent by S, then write a formula that expresses the cost S in terms of the number of credits taken n. The problems are engaging and lead us to explorations outside the book that enhance learning significantly. The projected speed limit along Hypotenuse Highway is 60 mph, but vehicles will travel at different speeds depending on traffic and driving habits. Hatter is now comfortable with the measurements in gallons.