[A] Algebra

MAT-HS.A Overview: [A] Algebra

MAT-HS.A-SSE Domain: [A-SSE] Seeing Structure in Expressions

• MAT-HS.A-SSE.01 Interpret expressions that represent a quantity in context
  • SSE.01.a Interpret parts expressions, such as terms, factors, and coefficients
  • SSE.01.b Interpret expressions by viewing one or more of their parts as a single entity
• MAT-HS.A-SSE.02 Use the structure of an expression to Identify ways to rewrite it
• MAT-HS.A-SSE.03 Choose and produce an equivalent form of an expression
  • MAT-HS.A-SSE.03.a factor a quadratic expression to reveal the zeros of the function it define
  • SSE.03.b Complete the square in a quadratic expression to reveal the maximum or mini
  • SSE.03.c Use the properties of exponents to transform expressions for exponential fu
• MAT-HS.A-SSE.04 Derive the formula for the sum of a finite geometric series

MAT-HS.A-APR Domain: [A-APR] Arithmetic with Polynomials and Rational Expressions

• MAT-HS.A-APR.01 Understand that polynomials form a system analogous to the integers
• MAT-HS.A-APR.02 Know and apply the Remainder Theorem
• MAT-HS.A-APR.03 Identify zeros of polynomials when suitable factorizations are available
• MAT-HS.A-APR.04 Prove polynomial identities and use them to describe numerical relationships
• MAT-HS.A-APR.05 Know and apply the Binomial Theorem for the expansion of (x + y)^n
• MAT-HS.A-APR.06 Rewrite simple rational expressions in different forms
• MAT-HS.A-APR.07 Understand rational expressions form a system analogous to rational numbers

MAT-HS.A-CED Domain: [A-CED] Creating Equations*

• MAT-HS.A-CED.01 Create equations and inequalities in one variable, Use them to Solve problems
  • MAT-HS.A-CED.01.a Create and solve linear equations in one variable.
  • MAT-HS.A-CED.01.b Create and solve exponential equations in one variable.
  • MAT-HS.A-CED.01.c Create and solve linear inequalities in one variable
  • MAT-HS.A-CED.01.d Create and solve exponential inequalities in one variable
  • MAT-HS.A-CED.01.e Create quadratic equations
  • MAT-HS.A-CED.01.f Create simple rational equations
  • MAT-HS.A-CED.01.g Create exponential equations
• MAT-HS.A-CED.02 Create and graph equations in two or more variables to represent relationships
  • MAT-HS.A-CED.02.a Create and graph linear equations in two or more variables.
  • A-CED.02.b Create and graph exponential equations in two or more variables.
• MAT-HS.A-CED.03 represent constraints by equations or inequalities and interpret solutions
• MAT-HS.A-CED.04 Rearrange formulas to highlight a quantity of interest

MAT-HS.A-REI Domain: [A-REI] Reasoning with Equations and Inequalities

• MAT-HS.A-REI.01 Explain each step in solving a simple equation
• MAT-HS.A-REI.02 Solve simple rational and radical equations in one variable
  • A-REI.03.a Solve linear equations in one variable
  • REI.03.b Solve linear inequalities in one variable
• MAT-HS.A-REI.03 Solve linear equations and inequalities in one variable
• MAT-HS.A-REI.04 Solve quadratic equations in one variable
  • MAT-HS.A-REI.04.a Use the method of completing the square to transform any quadratic equation
  • A-REI.04.b Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square
• MAT-HS.A-REI.05 Prove a solution set for 2 variable equation A + N times 2 var equation B
• MAT-HS.A-REI.06 Solve systems of linear equations in two variables exactly and with graphs
• MAT-HS.A-REI.07 Solve and graph a system of a linear and a quadratic equation in 2 variables
• MAT-HS.A-REI.08 Represent a system of linear equations as a single matrix equation
• MAT-HS.A-REI.09 Find inverse of a matrix and use it to solve systems of linear equations
• MAT-HS.A-REI.10 Understand a graph is the set of an equation's solutions
• MAT-HS.A-REI.11 Explain why the xcoord. of where y=f(x) and y=g(x) intersect Solve f(x) = g(x)
• MAT-HS.A-REI.12 graph the solutions to a linear inequality in two variables as a half plane

A Sample of HS Math Concept ALGEBRA to Become Ready for College and Career