Algebra B is the second year of a two-year program leading to the Algebra Regents exam. This course covers the Common Core Learning Standards at a slower pace. Units of study may include Relationships between Quantities, Linear and Exponential Relationships, Descriptive Statistics, Expressions and Equations, and Quadratic Functions and Modeling.
Quarter 1
Sep- Nov
Unit or Topic Skills:
I can combine like terms on the same side or from opposite sides of an equation.
I can add/subtract polynomials with integer coefficients.
I can add/subtract terms with decimal or fractional coefficients.
I can multiply monomials by monomials and by polynomials.
I can multiply two binomials.
I can multiply polynomials.
I can identify and define algebraic properties (e.g. distributive, commutative, etc)
I can solve linear equations.
I can solve linear inequalities, graph the solution on a number line and state it in interval and set notation.
I can translate verbal expressions into algebraic equations and inequalities.
I can solve word problems using linear equations.
I can read, write, and graph compound inequalities.
I can identify and define sets of numbers (real, rational, irrational, whole, natural, integer).
I can graph linear equations and systems of linear equations.
I can graph linear inequalities.
I can solve a system of linear equations algebraically.
Quarter 2
Nov- Jan
Unit or Topic Skills:
I can solve word problems using systems of equations.
I can solve word problems using systems of inequalities.
I can factor expressions by GCF (Greatest Common Factor), DOTS (Difference of Two Squares), and trinomial methods.
I can factor completely by using multiple factoring methods on an expression.
I can evaluate a function algebraically.
I can identify and graph a linear function.
I can evaluate a function based on a graph.
I can state the domain and range from a graph.
I can model a situation with a function.
I can find the slope of a line from a graph by counting.
I can determine the slope of a line using two points and the slope formula.
I can use the slope formula to find average rate of change.
I can graph piecewise functions.
Quarter 3
Jan- Apr
Unit or Topic Skills:
I can recognize transformations with functions.
I can solve function word problems.
I can identify and graph an exponential function.
I can use the formula for exponential growth and decay to compute a future value.
I can recognize and graph quadratic functions.
I can determine key features of a quadratic function- including: vertex, max, min and axis of symmetry and roots.
I can solve a quadratic-linear system graphically.
I can solve simple quadratic functions by taking the square root.
I can solve a quadratic function by factoring, completing the square and quadratic formula.
I can solve quadratic equation word problems (e.g., area problems).
I can evaluate what is an appropriate algebraic method to use to solve a quadratic equation including: factoring, completing the square and quadratic formula.
Quarter 4
Apr-Jun
Unit or Topic Skills:
Given a set of one variable data, I can compute mean, median, mode, range.
Given a set of data I can use the graphing calculator to determine: mean, median, standard deviation, Interquartile range.
I can construct a histogram from a given set of data.
I can construct a box plot from a given set of data.
I can construct a scatterplot from a set of data and estimate a line of best fit.
I can use the graphing calculator to determine the line of best fit with linear regression and use the resulting linear equation to predict a future value.
I can recognize correlations and determine when a correlation is causal.
I can use the graphing calculator to find the exponential equation with exponential regression and use the resulting equation to predict a future value.
I can recognize an arithmetic and recursive sequence.
I can write an equation that describes an arithmetic sequence using either the arithmetic sequence formula or linear regression. I can use the equation to find a given term.
I can use the recursive sequence notation to predict future terms.
Review for Algebra 1 Regents Exam