Math 208 Exam Review Questions with Verified
Correct Answers
Common Core's 8 mathematical practice standards
1. Make sense of problems and persevere in solving them
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
Make sense of problems and persevere in solving them
(a Common Core mathematical practice)
Is found in almost every math problem across the board. It means that students must understand
the problem, figure out how to solve it, and then work until it is finished. Common Core
, standards encourage students to work with their current knowledge bank and apply the skills they
already have while evaluating themselves in problem-solving. This standard is easily tested using
problems with a tougher skill level than already mastered. While students work through more
difficult problems, they focus on the process of solving the problem instead of just getting to the
correct answer.
Reason abstractly and quantitatively
(a Common Core mathematical practice)
When trying to problem solve, it is important that students understand there are multiple ways to
break apart the problem in order to find the solution. Using symbols, pictures or other
representations to describe the different sections of the problem will allow students to use
context skills rather than standard algorithms
Construct viable arguments and critique the reasoning of others
(a Common Core mathematical practice)
This standard is aimed at creating a common mathematical language that can be used to discuss
and explain math as well as support or object others' work. Math vocabulary is easily integrated
into daily lesson plans in order for students to be able to communicate effectively. "Talk moves"
are important in developing and building communication skills and can include such simple tasks
as restating a fellow classmate's reasoning or even supporting their own reason for agreeing or
disagreeing. Prompting students to participate further in class mathematical discussion will help
build student communication skills.
Model with mathematics
(a Common Core mathematical practice)
Correct Answers
Common Core's 8 mathematical practice standards
1. Make sense of problems and persevere in solving them
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
Make sense of problems and persevere in solving them
(a Common Core mathematical practice)
Is found in almost every math problem across the board. It means that students must understand
the problem, figure out how to solve it, and then work until it is finished. Common Core
, standards encourage students to work with their current knowledge bank and apply the skills they
already have while evaluating themselves in problem-solving. This standard is easily tested using
problems with a tougher skill level than already mastered. While students work through more
difficult problems, they focus on the process of solving the problem instead of just getting to the
correct answer.
Reason abstractly and quantitatively
(a Common Core mathematical practice)
When trying to problem solve, it is important that students understand there are multiple ways to
break apart the problem in order to find the solution. Using symbols, pictures or other
representations to describe the different sections of the problem will allow students to use
context skills rather than standard algorithms
Construct viable arguments and critique the reasoning of others
(a Common Core mathematical practice)
This standard is aimed at creating a common mathematical language that can be used to discuss
and explain math as well as support or object others' work. Math vocabulary is easily integrated
into daily lesson plans in order for students to be able to communicate effectively. "Talk moves"
are important in developing and building communication skills and can include such simple tasks
as restating a fellow classmate's reasoning or even supporting their own reason for agreeing or
disagreeing. Prompting students to participate further in class mathematical discussion will help
build student communication skills.
Model with mathematics
(a Common Core mathematical practice)