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Standards/Math/Alabama/MM.14

MM.14

MM Mathematical Modeling
MM.1
MM.10
MM.11
MM.12
MM.13
MM.14
MM.15
MM.16
MM.17
MM.18
MM.19
MM.2
MM.20
MM.21
MM.22
MM.3
MM.4
MM.5
MM.6
MM.7
MM.8
MM.9

Use elements of the Mathematical Modeling Cycle to make predictions based on measurements that change over time, including motion, growth, decay, and cycling.

Example Problems
g′(x)=5g(x)
and
g(3)=2

Solve the equation.
w′(t)=3w(t)
and
w(2)=7

Solve the equation.
m′(x)=8m(x)
and
m(1)=5

Solve the equation.
Khan Academy Resources
Warmup: exponential vs. linear growthExponential growth vs. decayGraphing exponential growth & decayInterpret quadratic modelsGraphs of exponential growthExponential vs. linear modelsQuadratic word problems (vertex form)Exponential vs. linear growth over timeLinear vs. exponential growth: from dataQuadratic word problems (factored form)Graphing exponential growth & decayInterpreting a parabola in contextInterpret quadratic models: Factored formGraphs of exponential growthQuadratic word problems (vertex form)Linear vs. exponential growth: from dataExponential decay introQuadratic word problems (factored form)Exponential vs. linear models: verbalInterpret quadratic models: Vertex formModeling with basic exponential functions word problemLinear vs. exponential growth: from data (example 2)
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