4.OA.4. Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.
Anchor Standard/Mathematical Practice(s)
3-Construct viable arguments and critique the reasoning of other 6-Attend to precision 7-Look for and make use of structure.
Information Technology Standard
4.TT.1.1 Use technology tools to gather and organize data
Revised Bloom's Level of thinking
Understanding Evaluating
Learning Target/Task Analysis
This standard requires students to demonstrate understanding of factors and multiples of whole numbers. This standard also refers to prime and composite numbers. Prime numbers have exactly two factors, the number one and their own number. For example, the number 17 has the factors of 1 and 17. Composite numbers have more than two factors. For example, 8 has the factors 1, 2, 4, and 8. A common misconception is that the number 1 is prime, when in fact; it is neither prime nor composite. Another common misconception is that all prime numbers are odd numbers. This is not true, since the number 2 has only 2 factors, 1 and 2, and is also an even number. Prime vs. Composite: A prime number is a number greater than 1 that has only 2 factors, 1 and itself. Composite numbers have more than 2 factors. Students investigate whether numbers are prime or composite by • building rectangles (arrays) with the given area and finding which numbers have more than two rectangles (e.g. 7 can be made into only 2 rectangles, 1 x 7 and 7 x 1, therefore it is a prime number) • finding factors of the number Students should understand the process of finding factor pairs so they can do this for any number 1 - 100, Example: Factor pairs for 96: 1 and 96, 2 and 48, 3 and 32, 4 and 24, 6 and 16, 8 and 12. Multiples can be thought of as the result of skip counting by each of the factors. When skip counting, students should be able to identify the number of factors counted e.g., 5, 10, 15, 20 (there are 4 fives in 20).
I can...
find factor pairs for a whole number between 1-100. find multiples of a whole number. determine prime numbers. determine composite numbers.
Create and solve an equation from a given word problem.
Over the summer, Raul read 8 books. Natalia read 4 times as many books. How many books did Natalia read? Draw a picture or create a model of the problem, write an equation with a symbol for the unknown variable, and solve.
Common Core Standard
4.OA.4. Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.Anchor Standard/Mathematical Practice(s)
3-Construct viable arguments and critique the reasoning of other6-Attend to precision
7-Look for and make use of structure.
Information Technology Standard
4.TT.1.1 Use technology tools to gather and organize dataRevised Bloom's Level of thinking
UnderstandingEvaluating
Learning Target/Task Analysis
This standard requires students to demonstrate understanding of factors and multiples of whole numbers. Thisstandard also refers to prime and composite numbers. Prime numbers have exactly two factors, the number one
and their own number. For example, the number 17 has the factors of 1 and 17. Composite numbers have more
than two factors. For example, 8 has the factors 1, 2, 4, and 8.
A common misconception is that the number 1 is prime, when in fact; it is neither prime nor composite. Another
common misconception is that all prime numbers are odd numbers. This is not true, since the number 2 has only
2 factors, 1 and 2, and is also an even number.
Prime vs. Composite:
A prime number is a number greater than 1 that has only 2 factors, 1 and itself. Composite numbers
have more than 2 factors.
Students investigate whether numbers are prime or composite by
• building rectangles (arrays) with the given area and finding which numbers have more than two
rectangles (e.g. 7 can be made into only 2 rectangles, 1 x 7 and 7 x 1, therefore it is a prime
number)
• finding factors of the number
Students should understand the process of finding factor pairs so they can do this for any number 1 -
100,
Example:
Factor pairs for 96: 1 and 96, 2 and 48, 3 and 32, 4 and 24, 6 and 16, 8 and 12.
Multiples can be thought of as the result of skip counting by each of the factors. When skip counting,
students should be able to identify the number of factors counted e.g., 5, 10, 15, 20 (there are 4 fives in
20).
I can...
find factor pairs for a whole number between 1-100.find multiples of a whole number.
determine prime numbers.
determine composite numbers.
Essential Vocabulary
multiplication/multiply, division/divide, factor pairs, factor, multiple, prime, composite
Sample Assessments
Create and solve an equation from a given word problem.
Over the summer, Raul read 8 books. Natalia read 4 times as many books. How many books did Natalia read? Draw a picture or create a model of the problem, write an equation with a symbol for the unknown variable, and solve.
Differentiation
Intervention:
http://daretodifferentiate.wikispaces.com/Choice+BoardsUse area models to see all possible factors and for prime and composite numbers
Use equal subsets of counters to find factors.
Enrichment:
Play Raging Rectangles from Third Grade Strategies book
http://www.adaptedmind.com/Fourth-Grade-Math-Worksheets-And-Exercises.htmlInstructional Resources
http://mathstory.com/mathlessons/arrayrace.htmhttp://www.beaconlearningcenter.com/WebLessons/CameronsTrip/default.htm
Rectangles and Factors NCDPI
Games for factors and multiples
Quantiles Activity
Illuminations Factorize GameNotes and Additional Information