Prime Time: Using Factors and Multiples
Learning Targets
- I can find factors of a number
- I can find multiples of a number
- I can find the greatest common factor (GCF) of two or more numbers.
- I can find the least common multiple (LCM) of two or more numbers.
- I can find the prime factorization of a number.
- I can identify square, prime, and composite numbers.
- I can evaluate numerical expressions involving whole number exponents. This means that when numbers are joined together by operations (+,-,x, /) I can use the "order of operations" rules to simplify the expression.
- I can use the distributive property to evaluate numerical expressions. This means that when numbers are joined together by multiplication and parentheses, I can use the distributive property to simplify the expression.
Video Notes Links and Additional Resources/Practice
Factors
I can find factors of a number.
- Video tutorial #1: https://www.youtube.com/watch?v=0NvLtTwnUHs
- Video tutorial #2: https://www.youtube.com/watch?v=G0wIJ4qhQW4
- Identifying factors practice: https://www.khanacademy.org/math/pre-algebra/pre-algebra-factors-multiples/pre-algebra-factors-mult/e/factor-pairs
- Factor feeder game: http://www.hoodamath.com/games/factorfeeder.html
- Factor board game: https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Factor-Game/
Square, Prime, and Composite Numbers
I can identify square, prime, and composite numbers.
- Video tutorial #1 (prime and composite): https://www.youtube.com/watch?v=jpMYfW9XziU
- Video tutorial #2 (square): https://www.youtube.com/watch?v=PDyyvPdi1tI
- Video tutorial #3 (all): https://www.youtube.com/watch?v=LPlPybHzSPw
- Prime/composite numbers practice: https://www.mathgames.com/skill/4.98-prime-and-composite-numbers
- Number ninja game: http://www.abcya.com/number_ninja_factors.htm
- Once you slice a composite number, two factors will appear. If either of those factors is a composite number, slice it to earn more points! For example, 20 is a composite number. Two factors are 4 and 5. Could you slice either the 4 or 5 to earn more points? How do you know?
- King Kong's prime number game: http://www.xpmath.com/forums/arcade.php?do=play&gameid=60
- Square numbers matching game: https://www.purposegames.com/game/square-numbers-1-25-quiz
Multiples
I can find multiples of a number.
- Video tutorial #1: https://www.youtube.com/watch?v=Sn9Iy2rK-wg
- Video tutorial #2: https://www.youtube.com/watch?v=rUrLuTMq-sw&t=10s
- Catch the stars multiple game: http://www.sheppardsoftware.com/mathgames/catchthestars/multiples/catchthestarsF9.htm
- Pumpkin multiples game: https://www.mathplayground.com/multiples.html
- Find the multiples game: https://www.turtlediary.com/game/finding-factors.html
Least Common Multiple (LCM)
I can find the least common multiple of two or more numbers.
- Video tutorial #1: https://www.youtube.com/watch?v=Z6-LksV08qU&t=62s
- Video tutorial #2: https://www.youtube.com/watch?v=D6yHKOYJiso
- LCM practice: https://www.mathgames.com/skill/6.53-least-common-multiples-lcm
- LCM fruit splat game: http://www.sheppardsoftware.com/mathgames/fractions/LeastCommonMultiple.htm
Greatest Common Factor (GCF)
I can find the greatest common factor of two or more numbers.
- Video tutorial #1: https://www.youtube.com/watch?v=jFd-6EPfnec
- Video tutorial #2: https://www.youtube.com/watch?v=y4MG3m5uJQg
- GCF practice: https://www.mathgames.com/skill/6.52-greatest-common-factors-gcf
- GCF fruit splat game: https://www.sheppardsoftware.com/mathgames/fractions/GreatestCommonFactor.htm
Prime Factorization
I can find the prime factorization of a number.
- Video tutorial #1: https://www.youtube.com/watch?v=ZKKDTfHcsG0
- Video tutorial #2: https://www.youtube.com/watch?v=GNOFzUJxIFs
- Making factor trees practice: https://www.transum.org/Maths/Activity/Prime/
- Prime factorization practice: https://www.khanacademy.org/math/pre-algebra/pre-algebra-factors-multiples/pre-algebra-prime-factorization-prealg/e/prime_factorization
- Prime factorization spinner game: http://www.math-play.com/Spinner-Game-Prime-Factorization/Spinner-Game-Prime-Factorization.html
Distributive Property
I can use the distributive property to evaluate numerical expressions. This means that when numbers are joined together by multiplication and parentheses, I can use the distributive property to make them simpler.
- Video tutorial #1: https://www.youtube.com/watch?v=VZ0jG3W53nE
- Video tutorial #2: https://www.youtube.com/watch?v=Q3wfb0CPhIY
- Video tutorial #3: https://www.youtube.com/watch?v=u3dexXyyb3c
- The example 2(x + 3) is a good introduction to evaluating expressions with variables. We will revisit the distributive property with variables later in the year.
- Battleship game: https://www.quia.com/ba/15357.html
- When multiplied together, a negative number and a postive number become negative. For example, -5 x 3 = -15. 7 x -m = -7m.
- When multiplied together, two negative numbers become positive. For example, -9 x -8 = -72. -6 x -b = 6b.
I can evaluate numerical expressions involving whole-number exponents. This means that when numbers are joined together by operations (+, -, x, /), I can use "order of operations" rules to make them simpler.
- Video tutorial #1: https://www.youtube.com/watch?v=HdU_rf7eMTI
- Video tutorial #2: https://www.youtube.com/watch?v=ClYdw4d4OmA
- Video tutorial #3: https://www.youtube.com/watch?v=EfgtWthLvk4
- Step-by-step tutorial: http://www.learnalberta.ca/content/mejhm/index.html?ID1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.INTE&lesson=html/object_interactives/order_of_operations/use_it.html
- Don't worry if you come across negative numbers here. We'll study those later in the year. The point of this activity is correctly identifying which operation comes first according to "order of operations" rules.
- Step-by-step tutorial: http://www.softschools.com/math/order_of_operations/games/
- Practice problems with exponents: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-order-of-operations/e/evaluating-numerical-expressions-with-exponents
- Who wants to be a hundredaire? game: http://www.math-play.com/Order-of-Operations-Millionaire/order-of-operations-millionaire-game.htmll
- Matching game: https://www.quia.com/cm/16544.html?AP_rand=1140871684
- Work the problems out on a separate sheet of paper and show all steps. Make only one change per line. Showing all of your work will help you be successful in this game!