Exponents - Product Rule
I can simplify expressions with exponents using the product rule.
Exponents - Quotient Rule
I can simplify expressions with exponents using the quotient rule.
Exponents - Negative Exponents Rule
I can simplify expressions with exponents using the negative exponents rule.
I can simplify expressions with exponents using the power of a power rule.
Exponents - Zero Exponent Rule
I can simplify expressions with exponents using the zero exponent rule.
Exponents - All Rules
I can simplify expressions with exponents using multiple laws of exponents.
I can write numbers in standard form and using scientific notation.
Exponential Growth
I can represent exponential growth using a table.
Exponential Functions
I can compare growth factors of different exponential functions.
Comparing Linear and Exponential Functions
I can compare properties of linear and exponential functions.
Growth Factors and Growth Rates
I can explain how the growth factor and growth rate are related.
How Does the Function Grow?
I can determine how the initial value affects the growth pattern in an exponential function.
Exponential Decay
I can represent exponential decay using a table or graph.
I can simplify expressions with exponents using the product rule.
- Video tutorial #1: https://www.youtube.com/watch?v=m-wZxnOW7Cc
- Video tutorial #2: https://www.youtube.com/watch?v=qLAW7QdLJTE
- Product rule practice:
- Who wants to be a millionaire? game: https://www.quia.com/rr/180013.html?AP_rand=1798710981
Exponents - Quotient Rule
I can simplify expressions with exponents using the quotient rule.
- Video tutorial #1: https://www.youtube.com/watch?v=CqGaQsoFyfY
- Video tutorial #2: https://www.youtube.com/watch?v=wuycrk_82a8
- Quotient rule practice:
Exponents - Negative Exponents Rule
I can simplify expressions with exponents using the negative exponents rule.
- Video tutorial #1: https://www.youtube.com/watch?v=rrwIvum2i7M
- Video tutorial #2: https://www.youtube.com/watch?v=Sqjy1RGYn_M
- Negative exponents practice:
I can simplify expressions with exponents using the power of a power rule.
- Video tutorial #1: https://www.youtube.com/watch?v=39l-MZFUEzY
- Video tutorial #2 (0:00 - 9:24): https://www.youtube.com/watch?v=HZHPjyov5ww
- Power of a power rule practice:
Exponents - Zero Exponent Rule
I can simplify expressions with exponents using the zero exponent rule.
- Video tutorial #1: https://www.youtube.com/watch?v=AxbG30aVImg
Exponents - All Rules
I can simplify expressions with exponents using multiple laws of exponents.
- Video tutorial #1 (super base rap song): https://www.youtube.com/watch?v=QIZTruxt2rQ
- Video tutorial #2: https://www.youtube.com/watch?v=OEN9kENpvtU
- Video tutorial #3: https://www.youtube.com/watch?v=Zt2fdy3zrZU
- Multiple laws of exponents practice:
- Battleship game (product and power of a power): https://www.quia.com/ba/53930.html
- Dinosaur dig game (all): http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.EXPO&lesson=html/object_interactives/exponent_laws/use_it.html
- Negative and zero exponents matching game: https://www.purposegames.com/game/negative-and-zero-exponents-quiz
I can write numbers in standard form and using scientific notation.
- Video tutorial #1: https://www.youtube.com/watch?v=Q_klLmTSyyw
- Video tutorial #2: https://www.youtube.com/watch?v=i6lfVUp5RW8&t=602s
- Scientific notation practice: https://www.mathgames.com/skill/8.22-convert-between-standard-and-scientific-notation
- Jeopardy game: http://www.math-play.com/scientific-notation-jeopardy/scientific-notation-jeopardy-game.html
- Time challenge game: http://www.xpmath.com/forums/arcade.php?do=play&gameid=21
- Quizlet game (choose the option you like best): https://quizlet.com/_68xfw4
- Video tutorial #1: https://www.youtube.com/watch?v=ciFOlirz4Js
- Video tutorial #2: https://www.youtube.com/watch?v=UADVIDjdaVg
- Operations with scientific notation practice:
- Multiplying: https://www.mathgames.com/skill/8.26-multiply-numbers-written-in-scientific-notation
- Dividing: https://www.mathgames.com/skill/8.30-divide-numbers-written-in-scientific-notation
- Both: https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-computing-scientific-notation/e/multiplying_and_dividing_scientific_notation
Exponential Growth
I can represent exponential growth using a table.
- Video tutorial #1: https://www.youtube.com/watch?v=IwhZS4mS7Nw
- Video tutorial #2: https://www.youtube.com/watch?v=x36yjjdtGjM
- Representing exponential growth in a table practice: https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/exponential-vs-linear-growth/e/exponential-vs-linear-growth
- Video tutorial #1 (0:00 - 7:44): https://www.youtube.com/watch?v=GGytywqpGXA&t=223s
- Video tutorial #2: https://www.youtube.com/watch?v=dDnatQBMEu4
Exponential Functions
I can compare growth factors of different exponential functions.
- Explore growth factors of exponential functions: https://www.desmos.com/calculator/3fisjexbvp
- The b value represents the growth factor. Increase the b value from 2 to 4, 7, 10, 15, and 20. What do you notice about the rate that the function grows as b increases?
- Decrease the b value to 1, 0.5, 0.2, and 0.1. What happens when the b value is a decimal? (We'll talk more about this situation when we discuss exponential decay.)
- Video tutorial #1 (table): https://www.youtube.com/watch?v=SkESEwKzlr8
- Video tutorial #2 (graph): https://www.youtube.com/watch?v=UyyUgTElJAE
- Video tutorial #1: https://www.youtube.com/watch?v=QeLWzVkgzxc
- Interpreting exponential functions practice: https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/exponential-expressions-alg1/e/interpret-exponential-expressions-word-problems
- Video tutorial #1: https://www.youtube.com/watch?v=mx-CcauJqoQ
- Video tutorial #2: https://www.youtube.com/watch?v=eqPqx5yrFsg
- Writing exponential function equations practice:
- https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/exponential-functions-from-tables-and-graphs/e/construct-basic-exponential-functions-from-table-or-graph
- https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/graphs-of-exponential-growth/e/graphing-exponential-growth-intro
- Quizizz game: https://quizizz.com/admin/quiz/5b81ed209e903c001992477c/exponential-functions-practice
- Click on the green "Solo" button to get started.
Comparing Linear and Exponential Functions
I can compare properties of linear and exponential functions.
- Video tutorial #1: https://www.youtube.com/watch?v=TVX9pSPJwYA
- Video tutorial #2: https://www.youtube.com/watch?v=EITZBgr9xR8
- Linear vs. exponential growth practice:
Growth Factors and Growth Rates
I can explain how the growth factor and growth rate are related.
- Video tutorial #1: https://www.youtube.com/watch?v=bMm9jJ4sjRM
- Video tutorial #2: https://www.youtube.com/watch?v=Sr6Nh2qWdZA
- Writing more exponential functions practice:
- https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/exponential-expressions-alg1/e/exponential-expressions-word-problems
- https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/exponential-expressions-alg1/e/exponential-expressions-word-problems-algebraic
How Does the Function Grow?
I can determine how the initial value affects the growth pattern in an exponential function.
- Explore initial value of exponential functions: https://www.desmos.com/calculator/3fisjexbvp
- The a value represents the initial value (and it's also the y-intercept). Move the slider for the a value to numbers between 0 and 10. How much does the function's growth change?
- Move the a value back to 1. Increase the b value from 2 to 4, 7, 10, 15, and 20. Does the a value (initial value) or b value (growth factor) have a larger effect on the function's rate of growth?
Exponential Decay
I can represent exponential decay using a table or graph.
- Video tutorial #1: https://www.youtube.com/watch?v=v4IdaXvyE7U
- Video tutorial #2: https://www.youtube.com/watch?v=fe1Hsqyetzk
- Representing exponential decay practice: https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/exponential-decay-alg1/e/exponential-growth-vs-decay
- What do you notice about the size of the b value in an exponential decay function?
- Video tutorial #1: https://www.youtube.com/watch?v=PPz9GpJw3hA&t=41s
- Video tutorial #1: https://www.youtube.com/watch?v=xe51LAgZWlA
- Video tutorial #2 (half-life): https://www.youtube.com/watch?v=S0ssoKEi-mc
- Video tutorial #3 (word problems): https://www.youtube.com/watch?v=QJsKTTkIjFk
- Writing even more exponential functions practice:
- https://mathbitsnotebook.com/Algebra1/FunctionGraphs/FNGTypeGrowthDecayPractice.html
- Watch out! Some situations model exponential growth, while others model exponential decay.
- https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/exponential-decay-alg1/e/graphs-of-basic-exponential-functions
- https://mathbitsnotebook.com/Algebra1/FunctionGraphs/FNGTypeGrowthDecayPractice.html
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