MTTC Mathematics 2 ā Questions and Answers
Question 1: Which instructional strategy is most effective when teaching place value to elementary students?
- Assigning drill worksheets without manipulatives
- Using base-ten blocks to model hundreds, tens, and ones (Correct answer)
- Having students memorize place value charts
- Lecturing about positional notation
Correct answer: Using base-ten blocks to model hundreds, tens, and ones
Concrete manipulatives like base-ten blocks allow students to physically build and see the structure of place value.
Question 2: What is the sum of the interior angles of a pentagon?
- 360Ā°
- 540Ā° (Correct answer)
- 720Ā°
- 450Ā°
Correct answer: 540Ā°
The sum of interior angles of any polygon is (n-2)Ć180Ā°, so for a pentagon: (5-2)Ć180Ā° = 540Ā°.
Question 3: A data set has values: 4, 8, 6, 5, 3, 8, 9. What is the mode?
- 6
- 5
- 8 (Correct answer)
- 9
Correct answer: 8
The mode is the value that appears most frequently; 8 appears twice while all others appear once.
Question 4: Which of the following represents a proportional relationship?
- y = 2x + 3
- y = xĀ²
- y = 4x (Correct answer)
- y = x + 1
Correct answer: y = 4x
A proportional relationship has the form y = kx (passing through the origin), so y = 4x is proportional.
Question 5: A teacher is planning a lesson on fractions. Which sequence reflects the correct concrete-to-abstract progression?
- Algorithms ā diagrams ā manipulatives
- Manipulatives ā pictorial models ā symbolic notation (Correct answer)
- Symbols ā word problems ā models
- Worksheets ā manipulatives ā discussion
Correct answer: Manipulatives ā pictorial models ā symbolic notation
The CRA framework moves from concrete manipulatives, to pictorial representations, to abstract symbolic notation.
Question 6: What is the probability of rolling a 3 or a 5 on a fair six-sided die?
- 1/6
- 1/3 (Correct answer)
- 1/2
- 2/3
Correct answer: 1/3
There are 2 favorable outcomes (3 and 5) out of 6 total, so the probability is 2/6 = 1/3.
MTTC Mathematics 2
Which instructional strategy is most effective when teaching place value to elementary students?