Algebra
Quarter 1 | Quarter 2 | Quarter 3| Quarter 4

Quarter 1

UNIT 1:
a. Recognize, describe, represent, and/or extend patterns and functional
relationships that are expressed numerically, algebraically, and/or
geometrically.
b. Represent and interpret relations and functions in a real-world context
using numbers, graphs, tables, oral/written descriptions, equations, and
technology.
 

UNIT 2:

a. Simplify and evaluate numerical and algebraic expressions.
b. Apply addition, subtraction, multiplication, and/or division of algebraic
expressions to mathematical and real-life problems.
c. Solve a one variable equation for the unknown.
d. Solve a literal equation for a specific variable.
e. Solve and graph a one variable inequality for the unknown, interpret it in
the context of the problem, and apply the solution to a real-world
application.
f. Solve and interpret absolute value expressions, equations, and inequalities.

Unit 3

a. Describe the graph of a non-linear function and discuss its appearance in
terms of the basic concepts of maxima and minima, zeros (roots), rate of
change, domain and range, and continuity.
b. Describe how the graphical model of a non-linear equation represents a
given problem and estimate the solution.
c. Interpret data and/or make predictions using a given curve of best fit.
d. Recognize and describe non-linear functions that are expressed numerically,
algebraically, and/or graphically.


Quarter 2
UNIT 4:
a. Represent linear functions numerically, algebraically, and/or graphically.
b. Determine the equation for a line, solve linear equations, and/or describe
the solutions using numbers, symbols, and/or graphs.
c. Determine and interpret properties of linear functions, including slope,
intercepts, dependent and independent variables, and continuity, in the
context of a real-world situation.
d. Interpret data and/or make predictions by finding and using a line of best
fit.
e. Identify, describe, and apply properties of a direct variation.
f. Solve linear inequalities and describe the solutions using numbers,
symbols, and/or graphs.
g. Write, solve, graph, and/or interpret an inequality in the context of a real-
world problem.
 
UNIT 5: 
Represent, interpret, and manipulate data in matrices to solve real-world
problems.
b. Use the concepts of ratio, rate, percent, and proportion to solve problems.
c. Determine the experimental probability of an event using real-world data.
d. Calculate theoretical probability and use simulations or statistical
inference from data to estimate the probability of an event. 
e. Use measures of central tendency and/or variability to draw informed
conclusions.
f. Organize and analyze data using a histogram, stem-and-leaf plot or box-
and-whisker plot.
g. Make informed decisions and predictions based upon the results of
simulations and data from research.
h. Design and/or conduct an investigation that uses statistical methods to
analyze data and communicate results.
i. Investigate and communicate the use and misuse of statistics.

Quarter 3
Unit 6

a. Organize and interpret graphs of systems of linear equations with two
unknowns.
b. Solve and describe, using numbers, symbols, and/or graphs, if and where
two straight lines intersect.
c. Write a system of equations for a real-world situation that is expressed
verbally, numerically, algebraically, and graphically.
d. Write, solve, graph and/or interpret a system of linear inequalities in the
context of a real-world problem.

Unit 7

a. Apply addition, subtraction, multiplication, and/or division of algebraic
expressions to mathematical and real-world problems.
b. Simplify expressions using laws of exponents.
c. Read and write numbers in scientific notation.
d. Recognize and describe exponential functions that are expressed
numerically, algebraically, and/or graphically.
e. Represent exponential functions numerically, algebraically, and/or
graphically. 
f. Solve a real-world problem involving an exponential function.   


Quarter 4

a. Write polynomials in standard form.
b. Add and subtract polynomials.
c. Multiply polynomials.
d. Represent a polynomial as a product of a monomial and a polynomial.
e. Represent a quadratic polynomial as a product of two linear factors.
f. Recognize and describe quadratic functions that are expressed
numerically, algebraically, and/or graphically.
g. Identify the properties of a quadratic function represented numerically,
algebraically, and/or graphically.
h. Represent quadratic functions numerically, algebraically, and/or
graphically.
i. Solve a quadratic equation by graphing and/or factoring.
j. Evaluate expressions by adding, subtracting, multiplying, dividing, and
simplifying radicals.
k. Solve a quadratic equation using the quadratic formula.
l. Solve a real-world problem involving a quadratic function.