<p>Teaching Math with Technology Name: Date: 9th Grade Algebra: With a partner, brainstorm what you remember from Pre-Algebra about FUNCTIONS and their properties:</p><p>The Function Machine:</p><p> x f(x) 1 2</p><p>3</p><p>4</p><p>5</p><p>6</p><p>7</p><p> x f(x) 1</p><p>2</p><p>3</p><p>4</p><p>5</p><p>6</p><p>7 10th Grade Algebra II:</p><p>What is a COMPOSITE FUNCTION?</p><p>In-class examples:</p><p>Notes from video example:</p><p>11th Grade Math Analysis:</p><p>Let’s apply what you learned about composite functions in 10th grade to a REAL WORLD EXAMPLE:</p><p>You make a purchase at a local hardware store, but what you've bought is too big to take home in your car. For a small fee, you arrange to have the hardware store deliver your purchase for you. You pay for your purchase, plus the sales taxes, plus the fee. The taxes are 7.5% and the fee is $20. </p><p>(i) Write a function t(x) for the total, after taxes, on the purchase amount x. Write another function f(x) for the total, including the delivery fee, on the purchase amount x.</p><p>(ii) Calculate and interpret (f o t)(x) and (t o f )(x). Which results in a lower cost to you?</p><p>(iii) Suppose taxes, by law, are not to be charged on delivery fees. Which composite function must then be used? Graph this function on your calculator.</p><p>(iv) Use this function to find out how much you would pay for a $47.50 order. 12th Grade AP Calculus:</p><p>When a function is inside another function, use the CHAIN RULE to find the derivative. So, the chain rule can be used to take the derivative of a composite function.</p><p>As we watch the first three segments of the video tutorial, copy examples and definitions into your notes.</p><p>What are the three steps to use the chain rule?</p><p>1.</p><p>2.</p><p>3.</p><p>Discussion of technology in education Teaching Math with Technology HW Name: Date:</p><p>1. Visit the Virginia DOE website and choose a math SOL. Write the SOL here:</p><p>2. Now, think of a way to teach this SOL using some sort of technology in the classroom. Is this effective or would a traditional instructional method work better?</p><p>3. Evaluate f(g(x)) for x=2 where f(x)= x2 and g(x) = x + 3.</p><p>4. Find the derivative of f(x) = cos3x using the Chain Rule. </p>