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Common Core: Math
CCLS - Math: F.IF.8
- Interpreting Functions
- Analyze Functions Using Different Representations
- State Standard:
- Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- Student Outcomes Students use geometric series to calculate how much money should be saved each month to have 1 million in assets within a specified amount of time.
- Topic E is a culminating series of lessons driven by MP.4, Modeling with Mathematics. Students apply what they have learned about mathematical models and exponential growth to financial literacy...
- Student Outcomes Students create exponential functions to model real-world situations. Students use logarithms to solve equations of the form f(t) = a ∙ bct for t. Students decide which type of model...
- Student Outcomes Students gather experimental data and determine which type of function is best to model the data. Students use properties of exponents to interpret expressions for exponential...
- Topic D opens with a hands-on simulation and modeling activity in which students gather data and apply the analysis of Lesson 22 in Topic C to model it with an exponential function (A-CED.2, F-LE.5...
- Exponential and Logarithmic Functions In this module, students synthesize and generalize what they have learned about a variety of function families. They extend the domain of exponential functions...
- Students apply their experiences from Topic A as they transform quadratic functions from standard form to vertex form, (x) = a(x - h)2 + k in Topic B. The strategy known as completing the square is...
- Student Outcomes Students graph a variety of quadratic functions using the form f(x) = ax2 + bx + c (standard form). Students analyze and draw conclusions about contextual applications using the key...
- Student Outcomes Students graph simple quadratic equations of the form y = a(x - h)2 + k (completed-square or vertex form), recognizing that (h,k) represents the vertex of the graph and use a graph...
- Student Outcomes Students solve complex quadratic equations, including those with a leading coefficient other than 1, by completing the square. Some solutions may be irrational. Students draw...
- Algebra I Module 5: A Synthesis of Modeling with Equations and Functions In Module 5, students synthesize what they have learned during the year about functions to select the correct function type in...
- Algebra I Module 4: Polynomial and Quadratic Expressions, Equations, and Functions In earlier modules, students analyze the process of solving equations and developing fluency in writing,...