GACE Mathematics 3

Question 1

A Georgia 5th-grade teacher assesses student understanding of decimal place value. Which task best reveals conceptual understanding?

Accepted Answer

Asking students to explain why 0.3 is greater than 0.09 using place value language

Answer

Asking students to explain using place value language reveals whether they understand the meaning of decimal positions, not just procedures.

Question 2

According to Georgia Standards of Excellence, which concept is introduced in kindergarten mathematics?

Accepted Answer

Counting to 100 and understanding numbers 0-20

Answer

Georgia's kindergarten GSE standards focus on counting to 100 and developing number sense for values 0-20.

Question 3

A Georgia teacher uses 'number talks' in her classroom. What is the PRIMARY purpose of this instructional routine?

Accepted Answer

Building mental math fluency and number sense through student discussion

Answer

Number talks develop mental computation strategies and number sense by having students share and discuss their mental math approaches.

Question 4

Which Georgia Standard of Excellence concept requires students to understand that the equal sign represents a relationship of balance?

Accepted Answer

Algebraic Reasoning / Operations and Algebraic Thinking

Answer

Understanding the equal sign as a balance or relational symbol is a key algebraic thinking concept within the Operations and Algebraic Thinking domain.

Question 5

A Georgia student says, 'I can't do math — I'm just not a math person.' Which teacher response best reflects GACE Mathematics pedagogy?

Accepted Answer

Affirming a growth mindset by highlighting the student's recent mathematical progress

Answer

Affirming a growth mindset by citing specific progress counters fixed-ability beliefs and builds mathematical identity.

GACE - Georgia Assessments for the Certification of Educators Practice Test

GACE - Georgia Assessments for the Certification of Educators Practice Test

GACE Mathematics 3