CCSS Standards Assessed (***Graduation Requirement)
***A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients.
- Variables and Expressions
Writing Expressions with multiple operations from phrases
Writing Phrases from Expressions
Writing a Rule to describe a pattern
N.RN.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and irrational number is irrational…
- Order of Operations and Evaluating Expressions
Order of Operations
- Real Numbers and the Number Line
Classify, compare, and graph real numbers
- Properties of Real Numbers
Identify and Use properties of real numbers
Operations with Real Numbers
A.CED.1 Create equations…in one variable and use them to solve problems. Include equations arising from linear…functions.
- Solving equations
Solving one-step equations
Solving two-step equations
Solving multi-step equations
A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations…
A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
- Literal Equations and Formulas
Rewriting and Using literal equations and formulas
- Solving Proportions
Proportions and Similar Figures
Percents as Proportions
- Solving Inequalities
Write, graph, and identify solutions to inequalities
Sets and Set Theory
F.IF.1 Understand that a function from one set…to another set…assigns to each element of the domain exactly one element of the range…
- Relations Vs. Functions
Identifying Functions in their Varying Forms
Linear and Non Linear Functions
F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes…
- Graphing and Interpreting Functions
Graphing a Function Rule (Linear and Non-linear)
Continuous Vs. Discreet
F.LE.1 Recognize situations in which on e quantity changes at a constant rate per unit interval relative to another.
- Finding rate of change/slope of a linear relationship
Finding/interpreting slope of line
Finding slope from chart
Finding slope from coordinates
A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate plane…
- Direct and Inverse Variation
Interpreting, solving and graphing direct and inverse relationships.
F.IF.7 (Introduction (non mastery)) Graph linear…functions and show intercepts….
F.LE.2 Construct linear…function…given a graph, a description of a relationship, or two input-output pairs…
- Writing/Graphing Forms of Linear Equations
Slope Intercept Form
A.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
- Solving Systems of Equations
Solving by Graphing
Solving by Substitution
Solving by Elimination
- Applications of Systems of Equations
A.REI.12 Graph the solutions to linear inequalities in two variables as a half-plane and graph the solution set to a system of inequalities, showing the intersection of the corresponding half-planes.
- Graphing and Solving Systems of Inequalities
N.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values…
- Properties of Exponents
Product of Powers
Quotient of Powers
F.IF.7.e Graph exponential…functions, showing intercepts and end behavior…
- Exponential Functions
Graphing Exponential Functions
Solving Simple Exponential Functions
A.APR.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.
- Operations on polynomials
Multiplying Polynomials (Distribution, FOIL, special cases)
Factoring Quadratics a=1
Factoring Quadratics a>1
Diff of Squares
Sum/Diff of Cubes
F.IF.7.a (Final(mastery)) Graph…quadratic functions and show intercepts, maxima, and minima.
1. Quadratic Graphs and Properties
Maxima/minima/vertex/intercepts/Axis of Symmetry
A.APR.3 Identify zeros of polynomials (quadratic) when suitable factorization is available, and use the zeros to construct a rough graph of the function.
1. Zero-Product Property w/vertex formula
A.REI.4.b Solve quadratic equations by inspection…by factoring…
A.REI.4.a Use the method of completing the square to transform any quadratic equation in x into and equation in the form
1. Solving using Radicals
2. Completing the Square Method
3. Using the Quadratic Formula