1. Strategies for Creating Assessment Tasks

4. Show More than one Way

5. a.Solve this equation using at least two different approaches. b. Which method do you think is best. Why do you think so?

6. The city of Elk Grove currently has 37,000 people and is growing at 14,000 people per year. Davis has a population of 61,000 and is growing at 9,000 people per year. In how many years will the two towns have the same population? Show more than one way to determine the answer, and be sure one of the ways is an appropriate equation or equations.

12. Show how to solve this problem in as many ways as you can. Be sure at least one way includes using algebraic equations. Two fast growing bamboo plants are growing side by side. Today the thick one is 28” tall, and the skinny one is 6” tall. Each plant grows 2” a day. In how many days will the thick bamboo be exactly twice as tall as the skinny bamboo?

16. Pause! Think, Describe a Strategy

17. Rewrite the expression so there are only positive exponents and bases are not repeated. Before you start, describe your first step.

18. Think before solving! a. Read the equation and list the operations on the variable. b. List the ‘undo’ operations. c. Write the algebraic steps of your solution.

19. a. d. b. e. c. List the operation on the variable, the undo operation and solve algebraically.

20. Work Backwards:

21. Let and write an equation that will take at least four operations to solve. OR Choose a number and write an equation that will take at least four steps to solve. OR Write a quadratic equation with as two of its roots.

22. Write two linear equations whose graphs Intersect at (-11, 3). OR Write two linear equations with graphs that are parallel. OR Write two equivalent, linear equations that appear to be different but that have graphs that are the same line.

23. Give an Example of……

24. Write out at least 5 examples that show what you know about exponents.

28. Write an equation for: A linear function and draw its graph. OR more open Any function and draw its graph.

33. Make up a word problem that you would use an equation with ratios to solve. Then show how to solve your problem.

37. Draw the graph and then write an equation for a parabola that opens downward and does not have its vertex at the origin. OR What are some other areas where you might ask students to give and example?

38. Identify and Correct Errors

39. Jeremy thinks that (x + y) 2 = x 2 + y 2 but you know better. Explain to Jeremy, in as many ways as you can why he is mistaken.

42. Ramon’s group was trying to rewrite They came up with: 15 Is their answer correct? If they are correct show how you know. If they are not, identify their error and explain.

43. Use algebra to determine the point of intersection for the graphs of the pair of equations below. 3x + 7y = –1 and x + y = –2 –7x + –7y= 14 10x = –15 x = –1.5 y = –.5

45. Think of an error your students often make. How could you turn that into a “correct the error” question?

46. Explain your reasoning:

47. Is y = (x – 3)(x – 5) equivalent to y = 2(x – 3)(x – 5)? Justify your reasoning. Is 0 = (x – 3)(x – 5) equivalent to 0 = 2(x – 3)(x – 5)? Justify your answer.

48. A triangle is cut out of a piece of cardboard so that its sides measure 6 cm, 12cm, and 15cm. Its area is 34 square cm. Another triangle is cut out of the same piece of cardboard, but its sides measure only 2 cm, 4cm, and 5 cm. Find the area of the smaller triangle. Explain completely how you solved the problem.

51. Strategies for Creating Problems: Show more than one way. Pause: Describe a Strategy Work Backwards Give an Example of…. Identify/Explain Errors. Explain Your Reasoning

52. GROWTH OVER TIME PROBLEMS

53. Write down everything you know about these two functions. and

54. ONE PROBLEM QUIZZES

55. LESSONS LEARNED: Write an acceptable solution for Every Problem you give Write an acceptable answer for every question you ask, especially when asking to EXPLAIN or JUSTIFY!

56. Balanced: Procedures, Reasoning & Explanation, Problem Solving. Focused on Key Problems-- NOT Comprehensive. Expected Problems First Majority of problems from previous chapters Flexible/plenty of time.

57. Judy Kysh San Francisco State judykysh@gmail.com Strategies for Creating Assessment Tasks