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Taylor, Melani

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Math Models

by Melani Taylor

Math Models

1st 6 weeks

 

 

 Exemplar Lesson 01: Characteristics of Functions (14 days)
Students will collect and organize data using various representations. They will identify the characteristics such as independent/dependent variables, domain and range, continuous/discrete, and increasing/decreasing relationships. Students will make predictions from the representations. Students will compare and evaluate functions in y = and f(x) notation. Two extra days are allotted in this lesson in case we need time for additional review or want to do supplementary activities.

   

 

 

 Exemplar Lesson 02: Comparison of Functions (11 days)
Students will investigate and compare linear and nonlinear functions, including quadratic, exponential, and rational functions. Students will collect and organize data using various representations. They will continue to identify the characteristics of functions such as independent/dependent variables, domain and range, continuous/discrete, increasing/decreasing, and inverse relationships. Students will make predictions from the representations.

 

2nd 6 weeks

Exemplar Lesson 01: Exploring Exponents
Students will generate the laws of exponents using patterns. Students will apply rules of exponents to solve problems in real-world situations.
  

Exemplar Lesson 01: Equations and Inequalities Students will solve equations and inequalities using various methods, including concrete models, tables, graphs, and algebraic methods. Students will also determine equations to represent problem situations, solve the equations, and justify the final solutions in terms of the problem situation.

Exemplar Lesson 01: Foundations of Geometry (7 days)
Students will develop an understanding of the structure of a geometric system from undefined terms including point, line, and plane to postulates and theorems. Undefined terms will be used to define foundational vocabulary for geometry. Undefined and defined terms will be used to build postulates and theorems. The segment and angle postulates will be introduced and applied to problem situations.

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