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Common Core: Math
Grades: Grade 11
15 Results
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- The focus in this topic is on polynomial arithmetic and how it is analogous to operations with integers. The module opens with a lively lesson that engages students in writing polynomial expressions...
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- This topic focuses on factoring polynomials and the advantages of factored form of a polynomial to both solve equations and sketch graphs of polynomial functions. Students solve problems involving...
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- Students solve polynomial, rational, and radical equations, and apply these types of equations to real-world situations. They examine the conditions under which an extraneous solution is introduced...
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- Students extend their facility with solving polynomial equations to working with complex zeros. Complex numbers are introduced via their relationship with geometric transformations. The topic...
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- Students will use trigonometric functions to model periodic phenomena (F-TF.B.5) by fitting sinusoidal functions to data (S-ID.B.6a). Students use the properties of the graphs of sinusoidal...
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- In this topic, students develop an understanding of the six basic trigonometric functions as functions of the amount of rotation of a point on the unit circle (F-TF.A.1), and then translate that...
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- In Topic A, students both review what they already know about exponential expressions and functions with integer exponents, and extend the meaning of an exponential expression to allow for first...
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- At the beginning of Topic B, students apply the properties of exponents to solve exponential equations numerically (F-BF.1a) as a way to motivate the need for logarithms, which are first introduced...
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- In Topic C, students graph logarithmic functions, identifying key features (F-IF.4, F-IF.7) and discover how the logarithmic properties are evidenced in the graphs of corresponding logarithmic...
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- 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...
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- 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...
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- Chance experiments, sample space, and events such as unions, intersections, and complements are explained. Probabilities of unions and intersections are calculated using data in two-way tables and...
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- Smooth curves are used to model given data distributions, eventually using the normal distribution to model data distributions that are bell shaped and symmetric. Tables and technology are used to...
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- The purposes of and differences among observational studies, surveys, experiments are explored along with how randomization relates to each. Data from random samples are used to estimate a...
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- Conclusions are drawn based on data from a statistical experiment. Simulation is used to explore whether an oberved difference in group means is significant. Published reports based on statisical...