Math Final

The following equation represents which use of variables? 13- b = 8?

A. placeholder

A child asks, "Which ice cream flavor got the most votes?" This is an example of which of the following types of graph comprehension?

A. reading the data

One of the first properties that children focus on is

A. the number of sides and corners

Is the following statement an example of recursive expression or an explicit equation? If n is the value of one term, then n + 3 is the value of the next term

a. recursive

Which of the following is not an example of a square number?

c. 13

The shaded area in the following model illustrates what multiplication problem?

c. 3/4 x 3/4

The following equation represents which use of variables?

c. Formulas and functions

Common names for quadrilaterals include all of the following, except:

c. triangles

Three key benchmarks include the following

0, 1/2, 1

She estimates that it must have been about 6 miles total since it's about a mile from her house to her friend's house and then about two miles from there to the park. Which estimation strategy is Maria using?

b. chunking

Percents are special ratios based on

100

Using clock arithmetic, what would be the answer for 8 + 4 mod 10?

2

In order to help students make generalizations, the following instructional sequence should be followed:

A. closed sentence, open sentence, generalizations

A student solved the problem, 132 + 222 + 348 + 435, in the following manner: 100 + 200 + 300 + 400. Which estimation strategy is he using?

A. front end

When teaching algorithms, which of the following two things must be taken into consideration?

A. materials and C. place values

Which average is most affected by extreme scores?

A. mean

Mary went to one store and noticed the following price sticker: 5 candies for 10 cents. She then went to another store and noticed the following price sticker for the same candies: 21 candies for 63 cents. This is an example of which kind of proportional problem?

A. numerical- comparison

Geometry is seen as the second most important area in which grade span?

A. 3-5

Barry explained how he mentally solved the problem, 24 + 23. He said "I added 20 plus 20 which makes 40, added 4 plus 3 which makes 7, and then added 40 plus 7 to get 47" Which mental computation strategy is Barry using?

A. adding from the left

A student looks at a triangle and says: "It looks like my roof." The statement, "it looks like my roof" indicates that this student is at what van hiele level of geometric thought?

B. 1

All of the following are common percent benchmarks, except for:

B. 15%

The following is a pictorial model for a mixed number. Which mixed number matches the model?

B. 2 1/2

The following is a pictorial model for a decimal problem. Which problem represents the model?

B. 2.3 x 2.3

The place value grid below contains a decimal. The decimal should be identified as:

C. 43 and 7 hundredths

Regrouping is an important concept that students must understand is they are to understand the subtraction algorithm. To that extent, 483 can be regrouped as all of the following except:

C. 48 tens, 3 ones

The following is a pictorial model for a division problem. Which problem represents the model?

D. 4 divided by 1/2

The following is a pictorial model for an improper fraction. Which improper fraction matches the model?

D. 5/6

According to research, what percentage of instructional time is devoted to written computation?

D. 70-90%

Which of the following are common attributes that are measured in most elementary mathematics programs?

D. all of the above

Your text states that division is difficult for which of the following reasons?

D. all of the above

In order to develop student's conceptual understanding of fractions, concrete materials should be used. Some examples of concrete materials include the following:

D. all of the above (fraction bars, pattern blocks, counters)

Which of the following ratios is not proportional to 3:4?

E. 18:24

Which of the following is not an average?

d. range

After measuring the length of his book, Jim says "it is 6" what is he violating?

B. a measurement must include both a number and a unit

Two elementary school students are trying to determine which of the two jars hold more sand. In order to determine which holds more, they pour the sand from one container to the other. This is an example of what?

B. comparing two objects directly

A student solved the problem, 24 x 9, in the following manner: 24 is close to 25 and 9 is close to 10, therefore, 25 x 10 is 250. Which estimation strategy is she using?

B. compatible numbers

If you have 2/7 of a piece of chocolate, how many more pieces will be needed to make a whole?

C. 5

Some words used in connection with estimation include all of the following, except:

C. exact

Your text gives several reasons for teaching measurement. Which of the following is not one of those reasons?

B. helps students to compute answers quickly and efficiently.

Which type of graph looks like a bar graph but is used with continuous data rather than discrete data?

B. histogram

Mario has 10 marbles that he would like to share equally with his 5 friends. Which part-whole model will best illustrate this situation?

B. length

Students in Mrs. Anderson's class collects weather data for 6 hours. What kind of graph would be most appropriate for this type of data?

B. line graph

What kind of graph is particularly useful for showing trends over time?

B. line graph

Student builds a tower of unifix cube towers, what average is found?

B. mode

In regards to fraction symbols, which connection do most textbooks concentrate on?

B. model and symbol

Jimmy solved 43 + 38 in the following manner: 40 plus 30 equals 70, 3 + 8 equal 11, therefore the answer is 70 plus 11 equals 81. In solving the problem, which strategy did Jimmy use?

B. partial sum

Billy had four cookies and he wants to share them equally among his five friends. Which meaning of fractions does this best represent?

B. quotient

Which area formula is the first children encounter?

B. rectangle

Students are making a heart shapes card for valentines day, folds in half.

B. symmetry

All of the following are appropriate ways to use the calculator as a computational tool, except:

B. to facilitate a search for patterns

Which of the following is an appropriate way to use the calculator as an instructional tool?

B. to facilitate a search for patterns

Elizabeth justified her generalization that whenever you add 0 to a number, you always end up with that same number by stating, "it works because my teacher told me so." This is an example of which kind of justification?

A. appeal to authority

Jenny has a circle that's been divided into six equal parts. She then shades in five of those parts. Which meaning of fractions does this best represent?

A. part-whole

Jimmy is working on finding the factors to 12 and 18. After he's found all the factors, he notices that they both have a 6. Which of the following number theory topics does this best illustrate?

B. factors and multiples

Melissa's team won 12 of their 17 games. This is an example of which type of percent problem?

B. finding what percent of one number is of another number

Is the following an example of a repeating pattern or a growing pattern?

B. growing pattern

Mary and Jim are trying to compare the widths of a window and door. In order to do so, they use strings to measure the widths. They then compare the string lengths to see which one is wider. This is an example of which type of comparison?

C. comparing two objects indirectly

Which of the following is the appropriate sequence to model algebraic problems?

C. concrete, pictorial, abstract

The price on a pair of pants was $25 and it was marked down 15%. What was its original price? This is an example of which type of percent problem?

C. find the total when only a percent is known

Katrina explained how she mentally solved the problem, 37 + 44. She said, "I added 3 plus 37 which makes 40, and then added 40 to 40 which makes 80 and then added 1 more to get 81." Which mental computation strategy is Katrina using?

C. making tens

All of the following are components of a box plot, except:

C. mode

To solve, 13 x 19, Jill thought the following: "9 times 3 is 27, 9 times 10 is 90, 10 times 3 is 30 and 10 times 10 is 100l to get the answer, I add 27 plus 90 plus 30 plus 100" Which of the following strategies is Jill using?

C. partial product

A child measures the top of her desk and the class book case with paper clips and pencils. In each case, she notices it takes more paper clips than pencils What is she demonstrating?

C. there is an inverse relationship between the number of units and the size of the unit

Which of the following statements is not a fact regarding the use of calculators?

C. using calculators always makes computations faster

What kind of graph is used mostly for discrete, or separate and distinct, data?

D. bar graph

The most difficult computational algorithm for children is

D. division

In order to develop computational fluency, all of the following recommendations should be followed, except:

D. eliminating the teaching of paper-and-pencil algorithms

Which of the following statements about the teaching of mental computation is not a recommendation?

D. encourage all students to use the same strategy for solving a problem

should we use a paper clip or a yard stick to measure the distance between our classroom and the gym? This illustrates which of the following measurement concepts?

D. one unit may be more appropriate than another to measure an object

Students are examining features of objects in the room, such as opposite sides of a book etc.

D. parallel and perpendicular lines

In order for students to understand the relationship between fractions and decimals, they must understand the following two concepts

D. partitioning and equivalence

What kind of graph is easy to interpret but is limited by the fact that it represents only a fixed moment in time, and it cannot exceed 100 percent?

D. pie graph

Which of the following fractions is not considered a friendly fraction>

E. 3/7

Which of the following is not a correct way to express 78 percent?

E. 7.8

Which of the following are examples of real-life situations that could be used to help students understand proportions.

E. all of the above

Students in Mrs. Jones class are trying to determine how much paper they will need to cover the bulletin board.

E. area

Which of the following is not a prerequisite for understanding multiplication algorithms?

E. none of the above

The mathematically appropriate way to say 1.27 is

E. one and twenty seven hundredths

Instructional goals for teaching computation include teaching children to:

E. only B and C

According to your text, which of the following should always be used to check the reasonableness of the result?

d. estimations

A teacher has students draw and replace color cubes from a bag. The class has a discussion that since they shook the bad after replacement, the cube that is drawn first has no impact on the cube that is drawn second. The teacher is reinforcing the concept.

d. independence of events

A ratio is a ______ between two or more numbers in a given order

d. multiplicative relationship

When helping to develop students' understanding of fractions, which is the most appropriate developmental sequence?

d. partitioning, words, counting, symbols

Data analysis, statistics, and probability is an important topic because:

e. all of the above

Mark measures himself and finds out that he is 3 ft 6 inches tall. Using his knowledge, he thinks that the table in the classroom must be about 4 feet since it is a little longer than he is tall. What is he using?

a. compare to a referent

Of the following attributes, which one is most easily perceived?

a. length

The number 24 is what type of number?

abundant

Jeremy's teacher gave him four stickers for one good behavior note. Which of the following is not an appropriate way to express this situation?

c. 4; 1

NCTM's Focal Points recommend that the conceptual understanding of fractions should be a focus of:

c. grade 3

A child says, "Based on this graph, I predict that the temperature will be colder in the evening". This is an example of which of the following type of graph comprehension?

c. reading beyond the data

When posing questions, which of the following things should be taken into consideration?

d. all of the above