NT105 Arizona Mathematics
(Middle Grades and Early
Secondary)
,QUESTIONS
Question 1
Which pair stays within the focus of “Measurement and Geometry”, without
switching to “Statistics, Probability, and Discrete Mathematics”? The pair must
contain two distinct concerns. One concern to retain is “Utilizing the coordinate
plane to analyze geometric figures using slope, distance, and midpoint
formulas”.
A. Utilizing the coordinate plane to analyze geometric figures using slope, distance, and
midpoint formulas; Applying formulas to calculate perimeter, circumference, area, surface
area, and volume of one-, two-, and three-dimensional figures
B. Analyzing sequences, series, arithmetic progressions, and geometric progressions; Analyzing
sequences, series, arithmetic progressions, and geometric progressions
C. Analyzing sequences, series, arithmetic progressions, and geometric progressions; Applying
formulas to calculate perimeter, circumference, area, surface area, and volume of one-, two-,
and three-dimensional figures
D. Utilizing the coordinate plane to analyze geometric figures using slope, distance, and
midpoint formulas; Analyzing sequences, series, arithmetic progressions, and geometric
progressions
Correct Answer: A
Full Explanation: Measurement and Geometry: Utilizing the coordinate plane to analyze
geometric figures using slope, distance, and midpoint formulas. Measurement and Geometry:
Applying formulas to calculate perimeter, circumference, area, surface area, and volume of one-,
two-, and three-dimensional figures. Statistics, Probability, and Discrete Mathematics: Analyzing
sequences, series, arithmetic progressions, and geometric progressions. B: This repeats a different
focus rather than covering two distinct concerns in the requested area. C: This describes
“Statistics, Probability, and Discrete Mathematics”, rather than the requested focus. D: This
describes “Statistics, Probability, and Discrete Mathematics”, rather than the requested focus.
2
,QUESTIONS
Question 2
For “Mathematical Processes and Number Sense”, “Evaluating the
reasonableness of solutions, estimating answers, and verifying results through
alternative methods” has been addressed. Which further task extends the
review within that area?
A. Analyzing the characteristics, domain restrictions, asymptotes, and graphs of rational and
radical functions
B. Representing relations and functions algebraically, graphically, tabularly, and verbally
C. Applying principles of basic number theory, including prime factorization, greatest common
divisor (GCD/GCF), and least common multiple (LCM)
D. slope, intercepts, vertex, and coefficients
Correct Answer: C
Full Explanation: Mathematical Processes and Number Sense: Applying principles of basic
number theory, including prime factorization, greatest common divisor (GCD/GCF), and least
common multiple (LCM). Mathematical Processes and Number Sense: Evaluating the
reasonableness of solutions, estimating answers, and verifying results through alternative
methods. A: This describes “Patterns, Algebra, and Functions”, rather than the requested focus. B:
This describes “Patterns, Algebra, and Functions”, rather than the requested focus. D: This
describes “Interpreting parameters”, rather than the requested focus.
3
, QUESTIONS
Question 3
Choose the pair that jointly addresses “Patterns, Algebra, and Functions”
instead of combining it with “Mathematical Processes and Number Sense”. The
pair must contain two distinct concerns. One concern to retain is “Modeling and
solving growth, decay, compound interest, and other real-world phenomena
using exponential and logarithmic models”.
A. Performing operations with fractions, decimals, ratios, proportions, and percentages;
Performing operations with fractions, decimals, ratios, proportions, and percentages
B. Performing operations with fractions, decimals, ratios, proportions, and percentages;
Analyzing the characteristics, domain restrictions, asymptotes, and graphs of rational and
radical functions
C. Modeling and solving growth, decay, compound interest, and other real-world phenomena
using exponential and logarithmic models; Performing operations with fractions, decimals,
ratios, proportions, and percentages
D. Modeling and solving growth, decay, compound interest, and other real-world phenomena
using exponential and logarithmic models; Analyzing the characteristics, domain restrictions,
asymptotes, and graphs of rational and radical functions
Correct Answer: D
Full Explanation: Patterns, Algebra, and Functions: Modeling and solving growth, decay,
compound interest, and other real-world phenomena using exponential and logarithmic models.
Patterns, Algebra, and Functions: Analyzing the characteristics, domain restrictions, asymptotes,
and graphs of rational and radical functions. Mathematical Processes and Number Sense:
Performing operations with fractions, decimals, ratios, proportions, and percentages. A: This
repeats a different focus rather than covering two distinct concerns in the requested area. B: This
describes “Mathematical Processes and Number Sense”, rather than the requested focus. C: This
describes “Mathematical Processes and Number Sense”, rather than the requested focus.
4
(Middle Grades and Early
Secondary)
,QUESTIONS
Question 1
Which pair stays within the focus of “Measurement and Geometry”, without
switching to “Statistics, Probability, and Discrete Mathematics”? The pair must
contain two distinct concerns. One concern to retain is “Utilizing the coordinate
plane to analyze geometric figures using slope, distance, and midpoint
formulas”.
A. Utilizing the coordinate plane to analyze geometric figures using slope, distance, and
midpoint formulas; Applying formulas to calculate perimeter, circumference, area, surface
area, and volume of one-, two-, and three-dimensional figures
B. Analyzing sequences, series, arithmetic progressions, and geometric progressions; Analyzing
sequences, series, arithmetic progressions, and geometric progressions
C. Analyzing sequences, series, arithmetic progressions, and geometric progressions; Applying
formulas to calculate perimeter, circumference, area, surface area, and volume of one-, two-,
and three-dimensional figures
D. Utilizing the coordinate plane to analyze geometric figures using slope, distance, and
midpoint formulas; Analyzing sequences, series, arithmetic progressions, and geometric
progressions
Correct Answer: A
Full Explanation: Measurement and Geometry: Utilizing the coordinate plane to analyze
geometric figures using slope, distance, and midpoint formulas. Measurement and Geometry:
Applying formulas to calculate perimeter, circumference, area, surface area, and volume of one-,
two-, and three-dimensional figures. Statistics, Probability, and Discrete Mathematics: Analyzing
sequences, series, arithmetic progressions, and geometric progressions. B: This repeats a different
focus rather than covering two distinct concerns in the requested area. C: This describes
“Statistics, Probability, and Discrete Mathematics”, rather than the requested focus. D: This
describes “Statistics, Probability, and Discrete Mathematics”, rather than the requested focus.
2
,QUESTIONS
Question 2
For “Mathematical Processes and Number Sense”, “Evaluating the
reasonableness of solutions, estimating answers, and verifying results through
alternative methods” has been addressed. Which further task extends the
review within that area?
A. Analyzing the characteristics, domain restrictions, asymptotes, and graphs of rational and
radical functions
B. Representing relations and functions algebraically, graphically, tabularly, and verbally
C. Applying principles of basic number theory, including prime factorization, greatest common
divisor (GCD/GCF), and least common multiple (LCM)
D. slope, intercepts, vertex, and coefficients
Correct Answer: C
Full Explanation: Mathematical Processes and Number Sense: Applying principles of basic
number theory, including prime factorization, greatest common divisor (GCD/GCF), and least
common multiple (LCM). Mathematical Processes and Number Sense: Evaluating the
reasonableness of solutions, estimating answers, and verifying results through alternative
methods. A: This describes “Patterns, Algebra, and Functions”, rather than the requested focus. B:
This describes “Patterns, Algebra, and Functions”, rather than the requested focus. D: This
describes “Interpreting parameters”, rather than the requested focus.
3
, QUESTIONS
Question 3
Choose the pair that jointly addresses “Patterns, Algebra, and Functions”
instead of combining it with “Mathematical Processes and Number Sense”. The
pair must contain two distinct concerns. One concern to retain is “Modeling and
solving growth, decay, compound interest, and other real-world phenomena
using exponential and logarithmic models”.
A. Performing operations with fractions, decimals, ratios, proportions, and percentages;
Performing operations with fractions, decimals, ratios, proportions, and percentages
B. Performing operations with fractions, decimals, ratios, proportions, and percentages;
Analyzing the characteristics, domain restrictions, asymptotes, and graphs of rational and
radical functions
C. Modeling and solving growth, decay, compound interest, and other real-world phenomena
using exponential and logarithmic models; Performing operations with fractions, decimals,
ratios, proportions, and percentages
D. Modeling and solving growth, decay, compound interest, and other real-world phenomena
using exponential and logarithmic models; Analyzing the characteristics, domain restrictions,
asymptotes, and graphs of rational and radical functions
Correct Answer: D
Full Explanation: Patterns, Algebra, and Functions: Modeling and solving growth, decay,
compound interest, and other real-world phenomena using exponential and logarithmic models.
Patterns, Algebra, and Functions: Analyzing the characteristics, domain restrictions, asymptotes,
and graphs of rational and radical functions. Mathematical Processes and Number Sense:
Performing operations with fractions, decimals, ratios, proportions, and percentages. A: This
repeats a different focus rather than covering two distinct concerns in the requested area. B: This
describes “Mathematical Processes and Number Sense”, rather than the requested focus. C: This
describes “Mathematical Processes and Number Sense”, rather than the requested focus.
4
