You will need the following items:
When your student has completed his work on paper, come back to the computer to complete the rest of the assessment.
Use this tool as an opportunity to help you determine your student’s understanding of the concepts.
For each problem, first check to see if the student answered it correctly. Then ask your student to explain to you how he arrived at each of his answers, or “teach back” the solution. Based on your student’s response, choose the statement(s) that most accurately describe how your student solved the problem. (IMPORTANT: Several of the questions require multiple responses. Be sure to mark ALL appropriate responses.)
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Your student’s performance indicates that he would be more successful in a previous level. Here are some additional steps you can take.
Your student’s performance indicates that he may be ready for Zeta. Here are some additional steps you should take.
Your student is ready for Zeta. The following skills were taught in previous levels of Math-U-See and are not specifically retaught in Zeta. You will want to make sure your student has mastered these skills before beginning.
View a detailed analysis of the assessment.
Return to the Placement Assessments to try the test for the next level, Pre-Algebra.
CORRECT ANSWER: 9,983
Ask the student to explain how he determined the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER: 9,983
The student was expected to know how to multiply multiple-digit numbers using the traditional method. The student needed to demonstrate he could regroup (or “carry”) as necessary to find the product.
SKILL: Multiply three-digit numbers by two-digit numbers with regrouping.
CORRECT ANSWER: 9,983
The student was expected to know how to multiply multiple-digit numbers using the traditional method. The student needed to demonstrate he could regroup (or “carry”) as necessary to find the product.
SKILL: Multiply three-digit numbers by two-digit numbers with regrouping.
CORRECT ANSWER:
Ask the student to explain how he determined the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER:
The student needed to perform long division to solve the problem and write a remainder to show that he was unable to divide evenly.
SKILL: Divide a three-digit dividend by a two-digit divisor.
CORRECT ANSWER:
The student needed to perform long division to solve the problem and write a remainder to show that he was unable to divide evenly.
SKILL: Divide a three-digit dividend by a two-digit divisor.
CORRECT ANSWER:
Ask the student to explain how he found the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER:
The student needed to simplify the fraction to lowest terms. The student could have solved this problem in one of three ways:
Solution A:
Find the prime factors of the numerator and denominator. and
Next, the student needed to divide (or cancel) any common factors and multiply the remaining factors.
Solution B:
Identify the Greatest Common Factor (GCF) of the numerator and denominator. The divide the numerator and denominator by the GCF.
Solution C:
Identify a common factor of the numerator and denominator. Then divide until it is simplified to lowest terms.
SKILL: Simplify a fraction to lowest terms.
CORRECT ANSWER:
The student needed to simplify the fraction to lowest terms. The student could have solved this problem in one of three ways:
Solution A:
Find the prime factors of the numerator and denominator. and
Next, the student needed to divide (or cancel) any common factors and multiply the remaining factors.
Solution B:
Identify the Greatest Common Factor (GCF) of the numerator and denominator. The divide the numerator and denominator by the GCF.
Solution C:
Identify a common factor of the numerator and denominator. Then divide until it is simplified to lowest terms.
SKILL: Simplify a fraction to lowest terms.
CORRECT ANSWER: x = 13
Ask the student to explain how he found the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER: x = 13
The student could have solved this problem in one of two ways:
Solution A:
Multiply both sides of the equation bybecause it is the reciprocal (opposite) of 7.
or
Solution B:
Divide both sides by 7 because division is the inverse (opposite)operation of multiplication.
SKILL: Solve for an unknown factor.
CORRECT ANSWER: x = 13
The student could have solved this problem in one of two ways:
Solution A:
Multiply both sides of the equation bybecause it is the reciprocal (opposite) of 7.
or
Solution B:
Divide both sides by 7 because division is the inverse (opposite)operation of multiplication.
SKILL: Solve for an unknown factor.
CORRECT ANSWER:
Ask the student to explain how he found the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER:
The student needed to multiply the fractions and express the answer in lowest terms. InZeta, students should be able to work comfortably with fractions and be able to apply efficient problem solving strategies. The student could have solved this problem in one of three ways:
Solution A:
1) Divide (cancel) common factors.
2) Multiply the fractions.
Solution B:
1) Multiply the fractions.
2) Divide the answer by the Greatest Common Factor (GCF) to simplify the answer.
Solution C:
1) Multiply the fractions.
2) Divide by several common factors to simplify the answer.
SKILL: Multiply fractions and simplify the answer to lowest terms.
CORRECT ANSWER:
The student needed to multiply the fractions and express the answer in lowest terms. InZeta, students should be able to work comfortably with fractions and be able to apply efficient problem solving strategies. The student could have solved this problem in one of three ways:
Solution A:
1) Divide (cancel) common factors.
2) Multiply the fractions.
Solution B:
1) Multiply the fractions.
2) Divide the answer by the Greatest Common Factor (GCF) to simplify the answer.
Solution C:
1) Multiply the fractions.
2) Divide by several common factors to simplify the answer.
SKILL: Multiply fractions and simplify the answer to lowest terms.
CORRECT ANSWER:
Ask the student to explain how he found the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER:
The student needed to know how to divide the fractions; then he needed to convert the answer from an improper fraction to a mixed number.
This could have been solved in one of two ways.
Solution A:
1) Multiply the first factor by the reciprocal of the second factor.
2) Change the improper fraction to a mixed number.
Solution B:
1) Find a common denominator.
2) Divide the numerators; then divide the denominators.
3) Convert the improper fraction to a mixed number.
CORRECT ANSWER:
SKILL: Divide fractions and simplify the answer to lowest terms.
CORRECT ANSWER:
The student needed to know how to divide the fractions; then he needed to convert the answer from an improper fraction to a mixed number.
This could have been solved in one of two ways.
Solution A:
1) Multiply the first factor by the reciprocal of the second factor.
2) Change the improper fraction to a mixed number.
Solution B:
1) Find a common denominator.
2) Divide the numerators; then divide the denominators.
3) Convert the improper fraction to a mixed number.
CORRECT ANSWER:
SKILL: Divide fractions and simplify the answer to lowest terms.
CORRECT ANSWER:
Ask the student to explain how he found the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER:
The student needed to know how to add mixed numbers that require regrouping by completing the following:
1) Find a common denominator for the fractions.
2) Add the fractions; then add the whole numbers.
3) Convert the improper fraction to a mixed number and regroup.
SKILL: Add mixed numbers with unlike denominators and simplify the answer to lowest terms.
CORRECT ANSWER:
The student needed to know how to add mixed numbers that require regrouping by completing the following:
1) Find a common denominator for the fractions.
2) Add the fractions; then add the whole numbers.
3) Convert the improper fraction to a mixed number and regroup.
SKILL: Add mixed numbers with unlike denominators and simplify the answer to lowest terms.
CORRECT ANSWER:
Ask the student to explain how he found the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER:
The student needed to know how to subtract mixed numbers that require regrouping (borrowing) by completing the following steps:
1) Find a common denominator.
2) Regroup (borrow) from the whole number.
3) Subtract the fractions; then subtract the whole numbers.
SKILL: Subtract mixed numbers with unlike denominators and simplify the answer to lowest terms.
CORRECT ANSWER:
The student needed to know how to subtract mixed numbers that require regrouping (borrowing) by completing the following steps:
1) Find a common denominator.
2) Regroup (borrow) from the whole number.
3) Subtract the fractions; then subtract the whole numbers.
SKILL: Subtract mixed numbers with unlike denominators and simplify the answer to lowest terms.
CORRECT ANSWER:
Ask the student to explain how he found the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER:
The problem could be solved in one of three ways:
Solution A:
1) Convert the mixed numbers to improper fractions.
2) Multiply by the reciprocal of the second factor.
3) Divide (or cancel) the common factors.
4) Multiply the numerators and denominators.
Solution B:
1) Convert the mixed numbers to improper fractions.
2) Multiply by the reciprocal of the second factor.
3) Divide the answer by the Greatest Common Factor (GCF) or another common factor.
Solution C:
1) Convert the mixed numbers to improper fractions.
2) Find a common denominator.
3) Divide the numerators; then divide the denominators.
SKILL: Divide mixed numbers and simplify the answer to lowest terms.
CORRECT ANSWER:
Ask the student to explain how he found the answer. Which of the following statements characterized his response? CLICK ALL THAT APPLY.
CORRECT ANSWER:
The student had to identify the measure of the line and express the fraction in lowest terms.
SKILL: Find the measure to the nearest fraction of an inch simplified to lowest terms.
CORRECT ANSWER:
The student had to identify the measure of the line and express the fraction in lowest terms.
SKILL: Find the measure to the nearest fraction of an inch simplified to lowest terms.
The next two questions are just for the instructor to complete. Choose the statement that best describes your student’s work during the written part of the assessment.
How long did it take the student to complete the assessment? Click on the best response.
A student who has mastered the prerequisite concepts should be able to complete the written assessment in about 30 minutes.
A student who has mastered the prerequisite concepts should be able to complete the written assessment in about 30 minutes.
How often did the student ask for help or hints as to how to solve a problem? (Note: this is different than asking for clarification about how a question is worded.) Click on the best response.
A student who has mastered the prerequisite concepts should feel confident in his or her ability to solve the problems and should not need to ask for assistance.
A student who has mastered the prerequisite concepts should feel confident in his or her ability to solve the problems and should not need to ask for assistance.