EDEL 4370 Posttest 2

Ms. Roberts is working with her 5th grade students to develop expressions based on problem situations. She poses the following scenario: Billy has six times as many books as George. What expression can be used to represent this situation? Use the variable B to represent the number of books that Billy has and the variable G to represent the number of books that George has. Which of the following expressions could be used?

B = 6G *

Ms. Sierra is working with her 5th grade students to develop expressions based on problem situations. She poses the following scenario: Gary works three hours less than Landry. What equation can be used to represent this situation? (Let G represent the number of hours worked by Gary and L represent the number of hours worked by Landry.) The most common answers that your students come up with are: Equation 1: G=3-L Equation 2: G-3=L Equation 3: G=L-3 Which equation is correct?

G=L-3

Rachel had sixteen dollars. For her birthday she got twenty-eight more dollars but spent twenty-five on a new pair of shoes. How much money does she have now?

$19 *

At the school carnival, Carol sold 3 times as many raffle tickets as Sam. If the two of them sold 152 tickets all together, how many raffle tickets did Carol sell?

114 tickets *

Three elementary teachers are having a discussion on effective methods for helping children conceptualize the meaning of the equal sign. Mr. A has his students solving equations such as 4 + 5 = ___ - 1. Mr. B has his students solve equations that look like 7 + 5 = ____. Mr. C has his students solve equations that look like 7 + ___ = 13. Mr. D has his students work with a balance where they add and subtract values from both sides and keep the scale balanced. Whose method would LEAST likely help students build a good understanding of the equal sign?

Mr. B *

All of the following are effective methods for helping children understand the meaning of the equal sign EXCEPT:

Placing focus mainly on computations *

Randy has 15 puppies. Josie has 4 more puppies than Randy. If Josie gives 6 of his puppies away, how many puppies does Josie have now?

a. 13 puppies*

Problem type(s) where no change in quantities is described include:

a. Compare * b. Part-part-whole *

Problem type(s) where a change in quantities is described include: Select one or more:

a. Join * e. Separate *

You give your students the following equation and ask them to solve: "Blank box minus eight equals 21" One of your students, Sammy, says "the blank box is 13 because 21 - 8 equals 13." What are your thoughts on the Sammy's reasoning?

a. This is not mathematically correct.

What problem type(s) are represented below: Julia has 25 kittens. Eight are male and the rest are females. She gives four of the female kittens to her friend. How many female kittens does she have left?

a. separate problem * d. part-part-whole problem *

What problem types are represented below? Rachel had sixteen dollars. For her birthday she got twenty-eight more dollars but spent twenty-five on a new pair of shoes. How much money does she have now?

a. separate problem * b. join problem *

Suppose that you are given the following growing pattern: 14, 26, 38,... Which of the following processes could be used to find whether 60 is a term in the sequence?

a. using the equation 14 + 12(n-1) = 60, solve for n. If n is a whole number, then 60 is a term in the sequence. * e. subtract 12 from 60, then repeatedly continue to subtract 12 from the result. If 14, 26, and 38 are part of that sequence, then 60 is a term of the pattern. *

What problem type(s) does the word problem below illustrate? "There are 18 students in Miss Lily's class. Eight are boys and the rest are girls. If three girls transferred to another school this semester. How many girls are there in Miss Lily's class now?"

b. Part-part whole and Separate *

What problem type(s) does the word problem below illustrate? "Jenny has some marbles. She gave Kate 13 marbles. Now Jenny has 19 marbles. How many marbles did Jenny give away?"

b. Separate *

Suppose that you are given the following growing pattern: 1, 5, 9, 13, 17, ... Which of the following processes could be used to find the 15th term of this sequence?

b. add four to 17, then continue to add four to the previously found term nine more times * d. using the expression 1 + 4(n-1) substitute 15 for n and solve *

Julia has 25 kittens. Eight are male and the rest are females. She gives four of the female kittens to her friend. How many female kittens does she have left?

c. 13 kittens *

What problem type(s) does the word problem below illustrate? "Stella has some dolls. Her parents gave her 8 more dolls on her birthday. Now Stella has 23 dolls. How many dolls did she have before her birthday?"

c. Join *

You give your second grade students to following equation: "18 plus 17 equals blank box plus 29" George says "Twenty-nine is two more than 27, so the missing number must be two more than 18" What do you think about George's reasoning?

c. This is not mathematically correct. *

Randy has 15 puppies. Josie has 4 more puppies than Randy. If Josie gives 6 of his puppies away, how many puppies does Josie have now?

c. compare problem * e. separate problem *

Suppose that you are given the following growing pattern: 1, 3, 5, 7, 9, ... What is the 15th term of this sequence?

d. 29 *

George had 25 pencils. Thirteen are red and the rest are yellow. George gives eight of his yellow pencils away. How many yellow pencils does George have now?

d. 4 pencils *

The expression 80n could be used to represent the following scenarios?

d. the total cost in cents of n candy bars at a cost of 80 cents for each candy bar *

Suppose that you are given the following growing pattern 14, 26, 38, ... Which of the following numbers is a term in the pattern?

e. 122 *

What problem type(s) is represented in the word problem below? A day prior to his birthday Robert had 7 toy cars left in his collection. This year his parents gave him some more toy cars for his birthday. He now has 19 toy cars. If his parents gave him 3 more toy cars this year than last year, how many toy cars did his parents give to him last year?

join problem *

What problem type(s) are represented below: At the school carnival, Carol sold 3 times as many raffle tickets as Sam. If the two of them sold 152 tickets all together, how many raffle tickets did Carol sell?

part-part-whole problem * compare problem *

Suppose you have a balanced scale. On the left side we have two cube weights and one cylinder weight. On the right side you have four cube weights. The weights on the scale are balanced. If each cube weight weighs 3 pounds and each cylinder weight weighs N pounds. Which of the following processes could be used to represent the solving for the weight of the cylinder?

subtract two 3-pound cubes from both sides *

A day prior to his birthday Robert had 7 toy cars left in his collection. This year his parents gave him some more toy cars for his birthday. He now has 19 toy cars. If his parents gave him 3 more toy cars this year than last year, how many toy cars did his parents give to him last year

9 toy cars *

What problem type(s) does the word problem below illustrate? "Luck, Mike, and Sally are friends that collect Pokemon card. Luck has 18 Pokemon cards. Mike has 9 more cards than Luck. If Mike gives 7 of his cards to Sally, how many cards does Mike have now?"

Compare and Separate *