GACE Mathematics 2

Question 1

A Georgia high school geometry teacher is teaching the Pythagorean Theorem. Which real-world context best supports student understanding?

Accepted Answer

Finding the diagonal distance across a rectangular park

Answer

Calculating compound interest

Answer

Solving quadratic equations

Answer

Determining the slope of a line

Question 2

According to GACE Mathematics content, what is the sum of the interior angles of any triangle?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Answer

360 degrees

Question 3

A Georgia 6th-grade teacher is introducing ratios. Which statement correctly defines a ratio?

Accepted Answer

A ratio is a comparison of two quantities by division

Answer

A ratio is the result of adding two quantities

Answer

A ratio always results in a whole number

Answer

A ratio must compare quantities with the same units

Question 4

Which data display is MOST appropriate for showing how a class's test scores are distributed across score ranges in a Georgia classroom?

Accepted Answer

Histogram

Answer

Pie chart

Answer

Scatter plot

Answer

Line graph

Question 5

A Georgia Algebra I student is asked to identify the slope of the line y = -3x + 7. What is the slope?

Accepted Answer

-3

Answer

7

Answer

3

Answer

-7

Question 6

Under GACE Mathematics pedagogy standards, what does 'mathematical discourse' in a Georgia classroom primarily involve?

Accepted Answer

Students discussing and justifying their mathematical thinking with peers

Answer

The teacher lecturing while students take notes

Answer

Students silently completing independent practice worksheets

Answer

The teacher correcting student errors on the board