TExES Exam Mathematics 7-12 2 — Questions and Answers
Question 1: Which teaching strategy helps students connect abstract algebraic concepts to real-world contexts?
- Drill-and-practice with abstract equations only
- Using contextual word problems and modeling scenarios (Correct answer)
- Avoiding calculators to build fluency
- Teaching formulas without deriving them
Correct answer: Using contextual word problems and modeling scenarios
Contextual word problems anchor abstract algebra in meaningful situations, improving comprehension and motivation.
Question 2: What is the slope of the line passing through points (2, 4) and (6, 12)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (12 - 4) / (6 - 2) = 8 / 4 = 2, representing a rise of 2 units for every 1 unit of horizontal run.
Question 3: Which representation of a function shows input-output pairs explicitly?
- A graph
- An equation
- A table of values (Correct answer)
- A verbal description
Correct answer: A table of values
A table of values lists specific input-output pairs, making the function's behavior explicit for each given x-value.
Question 4: A 7th-grade student struggles with integer operations. Which activity BEST supports conceptual understanding?
- Rote memorization of sign rules
- Using a number line to model addition and subtraction of integers (Correct answer)
- Skipping integers and moving to fractions
- Providing only procedural worksheets
Correct answer: Using a number line to model addition and subtraction of integers
A number line makes integer operations visual and concrete, helping students understand directionality and magnitude.
Question 5: Which transformation preserves the size and shape of a figure?
- Dilation
- Reflection (Correct answer)
- Compression
- Shear
Correct answer: Reflection
A reflection is an isometry — it preserves both the size and shape of the original figure while flipping it over a line.
Question 6: Which statistical display is BEST for showing the distribution and spread of a data set?
- Bar graph
- Pie chart
- Box plot (Correct answer)
- Pictograph
Correct answer: Box plot
A box plot displays the five-number summary (minimum, Q1, median, Q3, maximum), effectively showing distribution and spread.
TExES Exam Mathematics 7-12 2
Which teaching strategy helps students connect abstract algebraic concepts to real-world contexts?