Question 1

Which of the following organizations publishes a syllabus for Advanced Placement Calculus?

Accepted Answer

A) The College Board. 
B) The National Council of Teachers of Mathematics. 
C) Each state's Department of Education. 
D) Project Achieve. 
E) TIMSS researchers.

Question 2

Which of the following describes a significant emphasis of the Common Core State Standards?

Accepted Answer

A) Inquiry-based learning. 
B) Use of technology. 
C) Big ideas of mathematics. 
D) Integrated curriculum at the secondary and middle school levels. 
E) All of the above.

Question 3

List the Conceptual Categories of the Common Core State Standards for Mathematics. Then, describe how the Standards are used for curriculum planning and for writing objectives.

Accepted Answer

The answer of List the Conceptual Categories of the Common...

Question 4

According to a study published in 2001, which of the following is true about the achievement of students enrolled in the integrated verses the traditional sequence of mathematics courses?

Accepted Answer

A) Students continue to be successful on the SAT but are less likely to complete upper-level mathematics classes. 
B) Students tend to be less successful on tests such as the SAT but tend to complete more upper-level mathematics classes. 
C) Students tend to score about the same on SAT tests but are more likely to complete upper-level mathematics classes. 
D) Students tend to score higher on AP exams but are less likely to complete upper- level mathematics classes. 
E) Students tend to score about the same on SAT and AP exams but are less likely to complete upper-level mathematics classes.

Question 5

Consider the following objective: "Given a spherical object, a tape measure, and a calculator, the student will determine the diameter, circumference, surface area, and
 volume of the object." Under which classification would this objective be placed?

Accepted Answer

A) Affective. 
B) Knowledge & skill. 
C) Concept. 
D) Application. 
E) Psychomotor.

Question 6

According to Bloom's original Taxonomy, which of the following represents the highest level of cognition?

Accepted Answer

A) Application. 
B) Evaluation. 
C) Knowledge. 
D) Analysis. 
E) Comprehension.

Question 7

Which of the following describes a current shift in educational practice?

Accepted Answer

A) More districts are using pupil performance objectives. 
B) States are moving away from the use of goals. 
C) Educators are moving away from the use of behavioral objectives. 
D) Fewer districts are using Standards in lesson planning. 
E) Checklists of required skills are becoming more common.

Question 8

Consider the following objective: "The student will display interest and curiosity in problem solving." Under which classification would this objective be placed?

Accepted Answer

A) Active. 
B) Affective. 
C) Cognitive. 
D) Concept. 
E) Psychomotor.

Question 9

Which of the following describes a group of related Standards in the Common Core State Standards for Mathematics?

Accepted Answer

A) Grouping. 
B) Conceptual Category. 
C) Domain. 
D) Cluster. 
E) Core.

Question 10

Which of the following is NOT listed by NCTM as a primary reason why students need to possess mathematical competence?

Accepted Answer

A) Thinking and problem solving are needed in the workplace. 
B) The scientific and technical communities use mathematics frequently. 
C) Algebra and geometry skills are required in every profession. 
D) Knowledge of mathematics can be personally satisfying. 
E) Mathematics should be recognized as a part of cultural heritage.

Question 11

If you add a matrix representing a triangle to a 2 x 3 matrix having rows of 2, 2, 2 and 0, 0, 0, what is the result?

Accepted Answer

A) A translation of 2 units to the right. 
B) A translation of 2 units up. 
C) A dilation with a scale factor of 2. 
D) A reflection over the line y = 2. 
E) A reflection over the line x = 2.

Question 12

Explain at least four ways of locating resources that support teaching to a set of Standards beyond the textbook and its related teacher's manual.

Accepted Answer

The answer of Explain at least four ways of locating...

Question 13

Which of the following can generally be done on a "hand-held computer" that cannot be done with a "graphing calculator?"

Accepted Answer

A) Manipulate algebraic symbols. 
B) Sketch graphs of trigonometric functions. 
C) Perform computation with matrices. 
D) Determine maxima and minima for quadratic functions. 
E) Find combinations and permutations.

Question 14

What does the Common Core State Standards for Mathematics consider a "core curriculum"?

Accepted Answer

A) Pre-K to 12 curriculum for all students. 
B) Pre-K to 8 curriculum for all students. 
C) Middle school curriculum for all students. 
D) Three years of high school curriculum for all students. 
E) Four years of high school curriculum for all students.

Question 15

Which type of objective is most likely to require a student to explain how or why a problem was solved in a particular way?

Accepted Answer

A) Affective. 
B) Performance. 
C) Concept. 
D) Psychomotor. 
E) Knowledge & skill.

Exam 4: Standards, Objectives, and Resources