Current Unit Topic 1

Topics to Include:

Model Hanger Problems

Solving Equations

Solving Equations with Variables on Both Sides

Solving Inequalities

Future Units

Unit Topic 7

Perform arithmetic operations on polynomials.

CCSS.Math.Content.HSA.APR.A.1

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Prior Unit : Topic 6

Extend the properties of integer exponents to rational exponents. Rewrite radical expressions using rational exponents. Solve equations with rational exponents. Radicals can be rewritten using rational exponents. The properties of exponents can be used to solve equations with rational exponents.

Sketch graphs showing key features of exponential functions. Write exponential functions using tables and graphs. Compare linear and exponential functions. An exponential function models the relationship between two quantities that differ by a constant ratio. Exponential functions are modeled using f(x) = ab^x where a is the initial amount and b is the constant ratio.

Construct exponential growth and decay functions. Recognize if a situation can be modeled by exponential growth or exponential decay. Interpret the parameters of an exponential function within the context of a problem. An exponential growth function increases by a fixed percent over each interval. An exponential decay function decreases by a fixed percent over each interval. Exponential growth and decay functions can be used to model many real-world situations.

Find explicit and recursive formulas for geometric sequences. Translate between recursive and explicit formulas for geometric sequences. Construct exponential functions to represent geometric sequences. Geometric sequences are number sequences in which each term is related to the next by a common ratio. They can be represented by recursive and explicit formulas. Exponential Functions can represent geometric sequences.

Translate the graph of an exponential function vertically and horizontally, identifying the effect different values of h and k have on the graph of the function. Compare characteristics of two exponential functions represented in different ways, such as tables and graphs. The values of the constants h and k affect the graphs of exponential functions. Changing the value of k results in a vertical shift in the function’s graph. Changing the value of h results in a horizontal shift in the function’s graph.

Prior Unit : Topic 4

Use the substitution method to solve systems of equations. Represent situations as systems of equations and interpret solutions as viable/non viable options for the situation. Substitution is one method for solving systems of equations. The process involves solving one equation for a variable and substituting the solution into the system’s other equation. This results in an equation in one variable. Solve for the variable and substitute its value into one of the original equations as in the system to find the value of the second variable

Solve systems of linear equations using the elimination method. Model situations using systems of equations. Elimination is an alternate method for solving systems of equations when it is not easy to use substitution. Multiply one or both equations by a constant to get like coefficients that are opposite to use elimination.

Graph solutions to linear inequalities in two variables. Solve systems of linear inequalities in two variables. Identify solutions to systems of linear inequalities. The graph of a linear inequality in two variables shows the solutions of the inequality as a half- plane above or below the boundary line. The boundary line is included in the solution when the inequality symbol is ≤ or ≥ and excluded when the inequality symbol is < or >.

Prior Unit Topic 3 Linear Functions

Topic 3.1

Understand that a relation is a function if each element of the domain is assigned to exactly one element in the range. Determine a reasonable domain and identify constraints on a domain based on the context of the problem.

Topic 3.2

Write and evaluate a linear function using function notation. Graph a linear function and relate the domain of the function to its graph. Interpret functions represented by graphs, tables, verbal descriptions and function notation in terms of a context.

Topic 3.3

Graph transformations of linear function. Interpret the key features of a linear function and use them to write the function that the graph represents.

Topic 3.4

Fit a function to linear data shown in a scatter plot and use fitted functions to solve problems. Interpret the slope of a trend line.

Topic 3.5

Interpret the correlation coefficient for linear data. Plot and analyze residuals to assess the fit of a function. Distinguish between correlation and causation.