SEQUENCES AND EQUATIONS NAME HOUR PROBLEM 1 A.) Predict the next 3 terms 8, 10, 12,14, , , B.) Predict what the equation for the pattern might be. C.) What will the value be for the . term? D.) What is the first, second, third, etc. terms in our sequence? E.) What pattern in my terms do I see? What equation could I build? Is this like an X-Y table? Guess and check. Prove it works for the first few terms D.) Let’s use the equation to find the PROBLEM 2 A.) Predict the next 3 terms 2,4,6,8 , , . term? B.) Predict what the equation for the pattern might be. C.) What will the value be for the . term? D.) What is the first, second, third, etc. terms in our sequence? E.) What pattern in my terms do I see? What equation could I build? Is this like an X-Y table? Guess and check. Prove it works for the first few terms D.) Let’s use the equation to find the PROBLEM 3 A.) Predict the next 3 terms 10, 5, 0, -5, , , . term? B.) Predict what the equation for the pattern might be. C.) What will the value be for the . term? D.) What is the first, second, third, etc. terms in our sequence? E.) What pattern in my terms do I see? What equation could I build? Is this like an X-Y table? Guess and check. Prove it works for the first few terms D.) Let’s use the equation to find the . term? PROBLEM 4 Predict the next 3 terms 3, 0, -3, -6 , , B.) Predict what the equation for the pattern might be. C.) What will the value be for the . term? D.) What is the first, second, third, etc. terms in our sequence? E.) What pattern in my terms do I see? What equation could I build? Is this like an X-Y table? Guess and check. Prove it works for the first few terms D.) Let’s use the equation to find the PROBLEM 5 A.) Predict the next 3 terms 20, 30, 40 , , . term? B.) Predict what the equation for the pattern might be. C.) What will the value be for the . term? D.) What is the first, second, third, etc. terms in our sequence? E.) What pattern in my terms do I see? What equation could I build? Is this like an X-Y table? Guess and check. Prove it works for the first few terms D.) Let’s use the equation to find the PROBLEM 6 A.) Predict the next 3 terms 10, 0, -10, -20 , , E.) Write your equation so far with the value next to x. . term? B.) Predict what the equation for the pattern might be. C.) What will the value be for the . term? F.) Now use your x-y values from D. to get the “alone” number G.) Prove it works by using x=1 and x=2 to make sure you got it. H.) Let’s use the equation to find the . term? D.) What is the first, second, third, etc. terms in our sequence? FORMATIVE ASSESSMENT 1.) Write an equation for the following sequence AND use it to find the 72nd term. -4, -1, 2, 5, EQUATION SHOW WORK FOR 72ND TERM 2.) Which of the following equations best describes the sequence? 9, 7, 5, 3 a.) y=x+2 b.) y=x-2 c.) y=-2x + 13 d.) y=2x+13 3.) 12, 6, 0, -6 a.) y= -6x+18 b.) y= 6x-18 c.) y= -6x + 13 d.) y= 6x-13 TEACHER NOTES Start with a simple sequence on a students own paper. Have them predict the next 3-4 terms. Then ask them wha the 200th term would be. Have them understand that they need to do it a bunch. That sucks.