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201 9 Name: Date: Student Exploration: Solving Formulas for any Variable Vocabulary : formula , solve Prior Knowledge Questions (Do these BEFORE using the Gizmo.) Laura has $ 18 .45 left after buying a shirt for $ 16.80 and a sweater for $ 24 .75 . 1. How m uch money did Laura start with? ____________ 2. Explain how you figured this out . Gizmo Overview In the Solving Formulas for any Variable Gizmo , you will be given a formula (a rule or relationship between variables) expressed as an equation . You will solve each formula for a variable, by isolating that variable, step -by -step. Here’s how the Gizmo looks at first: The formula for you to solve is here. The tiles give you four choices for the next step. Choose the one you th ink is correct and drag it into the white area above. Read your feedbac k in the Gizmo . (No feedback is g iven for correct answers.) Click Proceed to go to the next step. Continue until you solve the formula for the correct variable . Then click New for a new problem to work on. Click Undo to undo your last choice. Click New to go to a different problem. 201 9 Activity: Solving the formula Get the Gizmo ready :  You should see the formula d = rt. If not, click Refresh in your browser. 1. When you begi n, you should see the formula shown to the right . This is short for “distan ce = rate  time .” A. What mathematical operation “attaches” r and t in this formula? B. What operation undoes the operation that “attaches” r and t? C. Choose the correct step to solve the formula for r. If your choice is incorrect, read the given feedb ack and try again. What is r equal to? ____________ 2. Click New . Y ou should now see the formula shown at the right in the Gizmo. This is the slope -intercept formula. A. The first thing you want to do is isolate the mx term. What should your first step be ? B. Choose the correct first step . The equation should now be y – b = mx . What should you do next to isolate x? C. What is x equal to? ______________________ 3. Click Undo twice to get back to the beginning . You should still be solving y = mx + b for x. This time, divide each side by m first. Choose the correct tile for this step. A. What simplified equation do you get after dividing ? B. Choose the next correct step. What is x equal to? C. The result should be the same as the first one . Both methods (subtracting b first or dividing by m first) are valid. Tell which method you prefer and why. 4. Click New . Work through more problems in the Gizmo. Be sure to read the feedback in the Gizmo along the way. (Activity continued on next page) 201 9 Activity (continued from previous page) 5. Solve each formula for the indicated variable . Write all your steps in the space below each problem. A. Solve C = 2 r for r. B. Solve f = for T. C. Solve K = C + 273 for C. D. Solve A + B + C = 180 for B. E. Solve V = lwh for w. F. Solve S = 180( n – 2) for n. T 1