Quarter 1

Quarter 2

Quarter 3

Quarter 4

Unit 1: Descriptive and Inferential Statistics

Students will learn best practices to plan, interpret, and critique studies using

samples within a population to make inferences about the population, at-large.

AA.DSR.2

AA.MM.1

AA.MP.1-5

Unit 2: Exponential and Logarithmic Functions

Students will find inverses of functions by hand, in models, charts, and graphs and verify by composition or graphing that one function is an inverse of another. Introduction of composition of functions to verify inverses is included as a strategy/method for this unit (in addition to numerical and graphical verification). Based on what students already know, students will explore logarithmic functions as inverses of exponential functions. They will move into graph logarithmic and exponential functions and identify key features. Students will use logarithmic properties and inverses to solve real-life exponential and logarithmic problems in one variable.

AA.FGR.3

AA.MM.1

AA.MP.1-8

Unit 3: Radical Functions

Students will write radical functions as functions with rational exponents and use these to solve real-world problems. Students will analyze key features of radical graphs and will select tools (including technology) to model radical functions. Given real-world situations, students should solve radical/rational exponent equations in one variable (recognizing extraneous solutions) or to graph and analyze radical/rational exponent functions in two variables to arrive at conclusions to real-world problems.

AA.FGR.4

AA.MM.1

AA.MP.1-8

Unit 4: Modeling Polynomial Functions

Students will solve systems of quadratic equations and perform quadratic regressions. They will perform computations with complex numbers (addition, subtraction, and multiplication) using properties of operations. Moving into exploration of polynomial functions, students will identify the number of zeros and end behavior for any polynomial, or to write a viable equation for the polynomial, given its zeros. Students will graph and identify the key features such as zeros of polynomials of degree greater than 2 either by inspection of a pre-graphed or pre-factored equation, or by using technology.

AA.FGR.5

AA.MM.1

AA.MP.1-8

Unit 5: Investigating Linear Algebra and Matrices

Students will represent real-world data into matrices and perform calculations within a real-world context. Students will have the opportunity to use technology for matrix calculations involving matrices greater than 2x2 in dimension. Students will organize systems of linear equations into a coefficient matrix multiplied by a variable matrix, equal to a constant matrix, and will calculate and use inverse matrices to solve these systems. Students will use linear programming to solve real-world optimization problems.

AA.PAR.6

AA.MM.1

AA.MP.1,2,4,5,6,7

Unit 6: Trigonometry and the Unit Circle

Students will begin exploring angles within the unit circle as a fraction of the circumference all the way around the unit circle. They will fluently convert between degree measures and radian measures. They will explore the concepts of terminal angles on the unit circle. Students will define and analyze the x (cosine), y (sine), and r (1) values of each angle measure of 30° ( 𝜋/6 ), 45° ( 𝜋/4 ) and 60° ( 𝜋/3 ), and their associated reflected angles within one counterclockwise revolution of the unit circle. Students will also be able to find the sine, cosine, and tangent at all of these radian measures, as well. Lastly, students will solve simple trigonometric equations.

AA.GSR.7

AA.MM.1

AA.MP.1-8

Unit 7: Rational Functions

 Students will rewrite simple rational expressions, and perform addition, subtraction, multiplication, and division.

AA.FGR.8

AA.MM.1

AA.MP.1,2,4,5,7

Unit 8: Culminating Capstone Unit

 The capstone unit is an interdisciplinary unit that allows students to create a presentation, report, or demonstration that could include their models used to answer an overarching driving question.

ALL

STANDARDS

AA.MP.1-8