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Grade on only secure skills __________ Name ______________________ Grade on all skills combined __________ Date of test_______________ Unit 1 – Number Theory End-of-Unit Test and Goal Evaluation For each of the goals below, the shaded area represents the level of mastery expected. An X is marked in the box corresponding to the student’s level of skill development. Secure Goal # Correct Beginning Developing Secure Draw arrays to model multiplication ___ of 8 0-2 3–6 7-8 1. Draw all possible arrays for the number 8. Write a number model next to each array. Secure Goal Know basic multiplication facts 2. Draw all the possible arrays for 18. Write a number model next to each array. # Correct Beginning Developing Secure ___ of 12 0-4 5-10 11 - 12 2. 6 x 7 = ____ 7 x 8 = ____ 4 x 7 = ____ 5 x 9 = ____ 4 x 4 = ____ 3 x 8 = ____ 8 x 8 = ____ 9 x 4 = ____ 2 x 5 = ____ 9 x 6 = ____ EM 3rd Edition - 2007 3 x 3 = ____ *12 x 6 = ____ Secure Goal # Correct Beginning Developing Secure Identify even and odd numbers ___ of 6 0–2 3–4 5-6 Secure Goal # Correct Beginning Developing Secure List the factors of a number ___ of 4 0–1 2 3–4 3. Write even or odd after each number. 67 __________ 32 __________ 790 __________ 213 __________ 9,425 __________ 13, 204 __________ 4. List all the factors of the following numbers. 24: __________________________________________________ 42: _________________________________________________ 36: _________________________________________________ 64: _________________________________________________ EM 3rd Edition - 2007 Developing/Secure Goal # Correct Beginning Developing Secure Use the divisibility tests to determine if a number is divisible by another number ___ of 4 0–1 2 3–4 5. Use the divisibility tests to check whether the following numbers are divisible by 2, 3, 5, 6, 9, or 10. All even numbers are divisible by 2. A number is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 5 if it ends in 0 or 5. A number is divisible by 6 if it is divisible by both 2 and 3. A number is divisible by 9 if the sum of its digits is divisible by 9. A number is divisible by 10 if it ends in 0. Place an “X” in the box if it is divisible by that number Number 1,098 5890 36,540 90 EM 3rd Edition - 2007 Divisible… by 2? by 3? By 6? by 9? by 5? by 10? Developing/Secure Goal # Correct Beginning Developing Secure Identify prime and composite numbers ___ of 4 0-1 2 3-4 6. Tell whether each number is prime or composite. 16 _________________________ 11 _________________________ 9_________________________ 7_________________________ 1__________________________ EM 3rd Edition - 2007 Developing/Secure Goal # Correct Beginning Developing Secure Understand how square numbers and their square roots are related ___ of 3 0–1 2 3 7. List all the factors of the square numbers. Fill in the missing blanks. ***Reminder: Use a factor rainbow to help you. 16: ____2 = 16 The square root of 16 is ____. 8. List all the factors of the square numbers. Fill in the missing blanks. ***Reminder: Use a factor rainbow to help you. 25: ____2 = 25 The square root of 25 is ____. 9. List all the factors of the square numbers. Fill in the missing blanks. ***Reminder: Use a factor rainbow to help you. 64: ____2 = 64 The square root of 64 is ____. EM 3rd Edition - 2007 Beginning/Developing Goal Rename numbers written in exponential notation 10. Fill in the blanks. Factor String # Correct Beginning Developing Secure ___ of 6 0-2 3-4 5-6 Exponential Notation Square Number 7x7 32 81 EM 3rd Edition - 2007 Beginning Goal # Correct Beginning Developing Secure Find the prime factorization of numbers ___ of 2 0 1 2 11. Write the prime factorization of the number. 48 12. Write the prime factorization of the number. 56 EM 3rd Edition - 2007 Prime Factorization ____________________ Prime Factorization ____________________