Saskatchewan Common Mathematics Assessments Post Assessment Outcome: N6.2 Demonstrate understanding of factors and multiples (concretely, pictorially, and symbolically) including: determining factors and multiples of numbers less than 100; relating factors and multiples to multiplication and division; determining and relating prime and composite numbers. 1. Use a hundreds chart. Start at 3. Find the first 6 multiples of 3. Level 1 List the multiples: ___________________________________________________________________ 2. List the first 6 multiples of each number: a) 9, _____________________________________________________________ b) 12, ____________________________________________________________ 3. List all the factors of each number: a) 12, ________________________________________ b) 98, _______________________________________ 4. Use the table to sort the numbers 30 to 50 as prime or composite. prime composite 5. a) Create a factor tree for the following number. 32 b) List the factors of 32 that are prime. ________________________________________ 6. List all the factors for each number. Circle those that are prime. a) 64 ________________________________________________________ b) 78 ________________________________________________________ Level 2 7. Use the Venn diagram provided to find the common factors of 18 and 24. 8. Draw a Venn diagram to display the common factors of 18 and 42. 9. Use these numbers: 83, 77, 47, 56, 81, 126, 63, 108, 29. Which numbers are: a) Multiples of 9? ___________________________________ b) Prime numbers? _________________________________ c) Composite numbers? ______________________________ 10. Draw 3 different factor trees for 72. Level 3 11. Tasha wants to plant equal numbers of marigolds and petunias. Marigolds come in trays of 8. Petunias come in trays of 6. What is the least number of trays of marigolds and petunias Tasha needs to have the same amount of each flower to plant? Show your work here. 12. Julia has a bead loom to make a bracelet. She wants to use 24 beads and put all beads in rows of equal lengths. Julia wants the number of beads in each row to be factors of 24. How many possible arrangements can she make? Show work here. 13. Two TV movies start at 7:00 P.M. One channel airs commercials every 6 minutes. The other airs commercials every 9 minutes. When will the two channels start commercial breaks at the same time? Show work here. Level 4 Teacher Section Teacher Notes: Question Indicator Answer Key: 1. 2. N6.2 c N6.2 b,d N6.2 f, i N6.2 e 1 1 6, 9, 12, 15, 18, 21 a) 18, 27, 36, 45, 54, 63 1 a) 1, 2, 3, 4, 6, 12 1 1 2 2 2 2 10. N6.2 e N6.2 f N6.2 i N6.2 i N6.2 c,e,f N6.2 h prime – 31, 37, 41, 43, 47 composite - 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50 Factor tree may include: 1, 2, 4, 8, 16, 32 a) 1, 2, 4, 8, 16, 32, 64 b) 1, 2, 3, 6, 13, 26, 39, 78 common factors: 1, 2, 3, 6 common factors: 1, 2, 3, 6 a) 63, 81, 108, 126 b) 29, 47, 83 c) 56, 63, 77, 81, 108, 126 11. N6.2 h 3 12. N6.2 h 4 13. N6.2 h 4 3. 4. 5. 6. 7. 8. 9. Level Answer b) 12, 24, 36, 48, 60, 72 b) 1, 2, 7, 14, 49, 98 3 # of # in tray # of petunias # in tray marigolds 1 8 1 6 2 16 2 12 3 24 3 18 4 32 4 24 5 40 5 30 1 row of 24, 2 rows of 12, 3 rows of 8, 4 rows of 6, 6 rows of 4, 8 rows of 3, 12 rows of 2 8:18 PM, 8:36 PM, 8:54 PM Outcome: N6.2 Demonstrate understanding of factors and multiples (concretely, pictorially, and symbolically) including: determining factors and multiples of numbers less than 100; relating factors and multiples to multiplication and division; determining and relating prime and composite numbers. up to Level 1 up to Level 2 up to Level 3 up to Level 4 Description of Levels: (based on Marzano, 2007) There is a partial understanding of some of the simpler details and processes. Prior knowledge is understood. P5.1 b, e N6.2 b, c, d, e, f, i Indicators and Learning Targets for each Level: Describe a pattern found in a chart. Verify whether a number belongs to a given pattern. Solve questions involving factors, multiples, and prime factors. Analyze whole numbers to determine if they are prime or composite. I can identify numbers in a pattern. Studentfriendly descriptions of learning targets. I can identify and understand prime and composite numbers. I can list the factors and multiples of a given number. No major errors or omissions regarding the simpler details or processes, but major errors or omissions regarding the complex processes may be present. N6.2 c, e, f, i No major errors or omissions regarding any of the information and/or processes that were explicitly taught. This is the target level for proficiency. N6.2 h In addition to level 3 performance, indepth inferences and applications go beyond what was explicitly taught. Analyze two whole numbers for their common factors. I can identify the common factors of two numbers. Solve situational questions involving factors, multiples and prime factors. I can solve simple word problems using factors, multiples and prime factors. N6.2 h Solve problems that are complex or involve multiple steps I can solve multistep word problems using factors, multiples and prime factors.