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Parallel Task Samples You’ve Seen Goal Choice 1 Choice 2 Common questions Students will solve problems based on real-life situations involving linear relations. Together, Brandon and Alexis had $7.50. Together, Brandon and Alexis had $7.50. • Could one of them have $6? Explain. Brandon had $2 more than Alexis. • Could one of them have a whole number of dollars? Explain. Brandon had $2.90 more than Alexis. How much did each have? How much did each have? • How could you represent the problem? How do you know there are no other answers? • How did you solve it? How do you know there are no other answers? Students will use information about the slope of a line to tell other things about the line. A line of slope -2/3 A line of slope 2/3 goes goes through (-4,-1). through (-4,-1). What is What is the the equation? equation? • How do you know there are no other answers? • Do you know which way your line slants? How do you know? • Could (-4, 3) be on your line? Explain. • Could (-3.0) be on your line? Explain. • What do you need to know to write the line’s equation? • How can you get that information? Students will solve problems based on real-life situations involving linear relations. Lisa has quarters and nickels worth $1.15. Amy had half as many quarters as Lisa and twice as many nickels. Her money is worth 80¢. How many nickels does Lisa have? Lisa has quarters and nickels worth $1.15. Amy had half as many quarters as Lisa and twice as many nickels. Her money is worth 80¢. • How do you know that Amy has an even number of nickels? How many nickels does Lisa have? • Does Amy have to have an even number of quarters? Solve the problem using number sense. • How do you know each had fewer than 5 quarters? Model the problem with equations and solve it. Students will demonstrate connections between operations with polynomials and operations with numbers by representing those polynomial operations. • Did you need to know how much each coin was worth or just the relationship between nickels and quarters? Use algebra tiles to Use algebra tiles to model model two two polynomials that polynomials that add multiply to 6x2 + 8x + 2. to 6x2 + 8x + 2. • How did you solve the problem? • How do you know you’re right? • What algebra tiles can you use to show 6x2 + 8x + 2? • Is there any other way to model that polynomial? • How did you arrange your tiles? • How did you figure out how to start? • Is there any other way you could have arranged the tiles?