Algebra 1B
The following learning targets represent the major concepts studied and assessed in this course.
Unit 0
Linear Relationships and Functions
- 01 Solve problems involving operations with rational numbers, including order of operations.
- 02 Evaluate expressions at specific values of the variables.
- 03 Recognize and combine like terms.
- 04 Simplify an expression, including those that require the distributive property.
- 05 Work with radical and integer exponents.
- 06 Analyze and interpret dot plots, histograms & boxplots, including shape, outliers, center, spread (SOCS).
- 07 Solve equations, recognize equivalent forms, and determine the number of solutions.
- 08 Graph a linear equation/inequality, and determine the points that are in the solution set of a function, and evaluate functions for inputs in their domain.
Unit E
Linear Systems
- E1 Find and interpret the solution to a system of equations by graphing, table, or guess and check.
- E2 Find and interpret the solution to a system of equations algebraically.
- E3 Write and solve systems of equations in context and interpret the solution.
- E4 Represent a system of linear inequalities graphically, including in context.
Unit F
Exponential Functions and Equations
- F1 Write equations of exponential functions, given a graph, table, word problem, or key features of that function.
- F2 Graph an exponential function, determine the points that are in the solution set of an exponential function, and evaluate exponential functions for inputs in their domain.
- F3 Identify key features of exponential functions, interpret parameter changes and analyze the effect of translations and scale changes on exponential functions.
- F4 I can recognize linear and exponential functions from a table, graph, equation, in context, and compare their rates of change for a given interval.
- F5 I can write geometric sequences in recursive and explicit form.
Unit G
Polynomial Operations and Models
- G1 Identify parts of an expression using polynomial terminology (constant, term, degree, leading coefficient, coefficient, monomial, binomial, trinomial).
- G2 Multiply polynomials, including in context.
- G3 Add and subtract polynomials, including in context.
- G4 Simplify expressions involving radicals and rational exponents.
Unit H
Quadratic Functions and Equations
- H1 Graph a quadratic function in standard form and identify its key features.
- H2 Divide a polynomial by a monomial and rewrite a polynomial in factored form, including in context.
- H3 Solve a quadratic equation using an appropriate method (factor, complete the square, square root method, quadratic formula, graph), including in context.
Unit I
Functions and Models
- I1 Graph and rewrite a quadratic function in equivalent forms and identify its key features (vertex, standard, and intercept/factored forms).
- I2 Compare linear, exponential, and quadratic functions, and compare their rates of change for a given interval.
- I3 Solve a system of equations involving linear and quadratic functions algebraically and/or graphically, including in context.
Unit A
Data Analysis
- A1 Analyze and interpret dot plots, histograms & boxplots, including shape, outliers, center, spread (SOCS).
- A2 Summarize bivariate categorical data in two-way frequency tables.