List of Subjects


Goals under Algebra 1
 Add and subtract functions.

Add integers.

Add matrices.
 Add rational numbers.

Adding polynomials.

Adding radical expressions.

Adding rational expressions with like denominators.

Adding rational expressions with unlike denominators.

Analyze data using mean, median, and mode.

Analyze given information to write a linear function that models a given problem
situation.

Analyze given information to write a linear inequality in one variable.

Analyze graphs
of quadratic functions and draw conclusions.

Analyze situations and formulate systems of linear equations in two unknowns to
solve problems.

Analyze situations involving linear functions and formulate linear equations or
inequalities to solve problems.

Applies properties of numbers using matrices.

Apply factorization to find LCM and GCF of algebraic expressions.

Apply quadratic equations to physical problems, such as the motion of an object
under the force of gravity.

Apply the angle sum theorem to find the missing angle in a triangle.
 Approximating the
real zeros of polynomial functions.

Calculate the probability of an event given the probability of its complement.

Calculate the slope of a line using
an equation.

Calculating the slope of a linear relation given as a table or graph

Checking whether a system of equations has one solution, no solution, or infinitely
many solutions graphically.

Choose the function for the graph including exponential and quadratic functions.

Classify real numbers.

Classifying relations as linear or nonlinear by examining graphs, equations, or
tables.
 Compares
and orders irrational numbers.

Compares and orders rational numbers.

Compre and order between rational and irrational numbers.

Compute the minimum, lower quartile, median, upper quartile, and maximum of a data
set.

Connect equation notation with function notation, such as y = x + 1 and f(x) = x
+ 1.
 Construct
and interpret scatter plots from given data.

Convert between standard form and scientific notation in realworld situations.

Convert derived
units within and between systems of measurement.

Convert quadratic expressions in general form to vertex form.

Convert quadratic expressions in vertex to general form.

Convert units from one system of measurement to another.
 Converts
numbers from scientific notation to standard notation and vice versa.
 Demonstrates
fluency with power properties of exponents.

Demonstrates understanding of scalar multiplication.

Describe the effect on perimeter, area, and volume when one or more dimensions of
a figure are changed.

Describe the transformations on the graph of y = x2.

Determine if two ratios form a proportion.

Determine locus of points satisfying a system of equations.

Determine the domain and range for quadratic functions in given situations.

Determine
the nature of the roots of quadratic equations using discriminants.
 Determine
the number of solutions for a system of equations graphically.

Determine the zeros of polynomial functions.

Determine whether a game or process is fair.

Determine whether a given relation is a function.

Determine whether or not given situations can be represented by linear functions.

Determine whether the graph of a quadratic function will intersect the xaxis in
zero, one, or two points.

Determine whether the parabola opens up or down.

Differentiate between independent, dependent, and mutually exclusive events.

Distinguish between
causation and correlation.
 Divide
integers.

Divide rational expressions by a binomial.

Divide rational expressions involving binomials.

Divide rational expressions involving monomials.

Divide rational numbers.
 Dividing
monomials by monomials.

Dividing polynomials by binomials using synthetic division.

Dividing polynomials by binomials.

Dividing polynomials by monomials.

Dividing radicals using quotient property of square roots.

Estimate each square root to the nearest whole number or tenths.

Estimate volume and surface area for right cylinders and right prisms.
 Evaluate a function
using tables, equations or graphs.

Evaluate algebraic expressions by using order of operations.

Evaluate numerical expressions using order of operations.

Evaluating expressions involving exponents.

Evaluating expressions with rational exponents.

Evaluating Radical Expressions.

Explain which types of display are appropriate for various data sets.
 Express arithmetic sums
using sigma notation.

Express the probability of an event as a fraction, a decimal, or a percent using
a sample space of 36 to 60 outcomes.

Expressing linear equations in standard form.

Factor binomials that are the differences of squares.

Factor polynomials using grouping techniques.

Factor polynomials using the greatest common factor (GCF) and the distributive property.

Factor quadratic trinomials
in the form of ax2+bx+c.

Factored form of a quadratic expression in the form of x2+bx+c.

Factoring perfect square trinomials.
 Find
(a + b)², (a  b)², and (a + b)(a  b).

Find a missing angle of a right triangle.

Find absolute value of rational numbers.

Find and Estimate cube roots
 Find
areas of sectors.

Find equations of lines passing through a given point, parallel or perpendicular
to the graph of a given equation.
 Find intercepts of linear functions.

Find intercepts of quadratic
functions.
 Find
missing side length of right triangles.

Find n th term of a geometric sequence.

Find n th term of an arithmetic sequence.

Find probability of independent, dependent, and mutually exclusive events.

Find square roots.

Find sum of arithmetic series.

Find the absolute value of a real number.

Find the area of composite figures.

Find the axis of symmetry and vertex of parabola.

Find the distance between two points on a coordinate plane.

Find the domain and range of function.

Find the domain and range of inverse of a function

Find the domain and range of rational functions.

Find the domain and range of the exponential functions.

Find the inverse of a function.

Find the lateral area and surface area of a regular pyramid.

Find the lateral area and surface area of a right circular cone.

Find the lateral area and surface area of a right cylinder.

Find the lateral area and surface area of a right prism.

Find the midpoint of a segment on the coordinate plane.

Find the number of outcomes using combinations.

Find the number of real solutions of a quadratic equation using discriminant.

Find the odds of a simple event.
 Find the position of a given
term in an arithmetic sequence.

Find the probability of a simple event.

Find the probability of two dependent events.

Find the probability of two independent events.

Find the range for a given domain using the equation.

Find the range of the data.

Find the slope of a line given on a coordinate plane.

Find the slope of a line when coordinates of two points on it are given.

Find the slopes of parallel
and perpendicular lines.

Find the sum and product of the roots of quadratic equations.

Find the sum of a finite geometric series.

Find the sum of an infinite geometric series.

Find the value of a function for a given element of the domain.

Find the volume of a circular cone.

Find the volume of a pyramid.

Find the volume of a right cylinder.

Find the volume of a right prism.

Find the volume of a sphere.

Find trigonometric ratios of sine, cosine and tangents.

Finding prime factors of integers.

Finding the roots of quadratic equations graphically.

Fit exponential models to data.

Given a linear graph, identify its slope as positive, negative, undefined, or zero,
and interpret slope as rate of change.

Graph an equation using the slope and the yintercept.

Graph factorable quadratic functions, finding where the graph intersects the xaxis
and the coordinates of the vertex.

Graph Parabolas.

Graph solution sets of absolute value equations.

Graph the solution set for a given domain.

Graph the solution set of an inequality on a number line.

Graphing absolute value functions.

Graphing exponential functions.

Graphing inequalities in the coordinate plane.

Graphing linear equations in a coordinate plane.

Graphing quadratic functions.

Graphing special functions.

Identifies all the subsets of the real number system to which a given number belongs.

Identifies and
uses different types of sampling techniques.

Identify and apply the properties of real numbers.

Identify and graph identity, step and constant functions.

Identify and graph piecewise functions.

Identify and use the properties of identity and equality.

Identify dependent and independent variables.

Identify graphs of common relations, including x = constant, y = constant, y = x,
y =
$rout(x)$
, y = x^{2}, and y = x.

Identify graphs of piecewise functions and find the domain and range.
 Identify horizontal
and vertical lines given the equations.

Identify properties used to solve equations.

Identify slopes of parallel or perpendicular lines.

Identify the multiplicative inverse of a number.

Identify types of functions from their equations.

Identify, describe, and classify polygons.

Identify, describe, and classify special quadrilaterals.

Interpret and predict the effects of changing slope and yintercept in applied situations.

Interpret the meaning of slope and intercepts in situations using data, symbolic
representations, or graphs.

Investigate, describe, and predict the effects of changes in m and b on the graph
of y = mx + b.

Know and explains between which two consecutive integers an irrational number lies.

Knows to graph rational
numbers on a number line.

Locate irrational numbers at the approximate location on a number line.

Locate points on the coordinate
plane.
 Make conjectures
based on inductive reasoning.

Match the graph of a linear function to its x/y table.

Multiplication Principle of counting.

Multiply and divide functions.

Multiply and divide numbers in scientific notation.

Multiply integers.

Multiply rational expressions involving polynomials.

Multiply rational numbers.

Multiply square roots.

Multiplying a polynomial by a monomial.

Multiplying monomials.

Multiplying polynomials using distributive property.

Multiplying radicals.

Multiplying two binomials using the FOIL method.

Organize and analyze data in parallel boxandwhisker plots.

Organize data in matrices.

Perform simple transformations on quadratic, exponential and absolute value graphs.

Recognize and apply the
properties of a parallelogram.

Recognize and apply the properties of rectangles.

Recognize and apply the properties of rhombus.

Recognize and apply the properties of squares.

Recognize and apply the properties of trapezoids.

Recognize and use tests for congruence of right triangles.

Recognize and use the additive inverse.

Recognize arithmetic sequences.

Recognizes and identifies the graphs of linear functions.

Represent exponential functions using tables, graphs and equations.

Represent quantitative relationships graphically and interpret the meaning of a
specific part of a graph in the situation represented by the graph.

Represent quantitative relationships graphically and use the graphs to solve realworld
and mathematical problems.

Rewrite the expressions using rational exponent notation and radical notation.

Sampling and bias.

Simplify algebraic expressions by combining like terms using no more than 3 variables.

Simplify algebraic expressions containing positive and negative exponents.

Simplify and Evaluate
an expression with absolute value.

Simplify complex rational expressions

Simplify expressions containing negative exponents.

Simplify expressions containing square roots.

Simplify expressions involving powers of monomials.

Simplify expressions involving quotients of monomials.

Simplify expressions using commutative and associative properties.
 Simplify expressions
using distributive property.

Simplify numerical expressions involving negative and zero exponents
 Simplify
radical expressions in which the radicand is not a perfect square.
 Simplify radical expressions
using the rules.

Simplify rational expressions involving polynomials.

Simplify square roots.

Solve 2 by 2 systems of linear equations by simple substitution.

Solve and graph linear inequalities.

Solve direct variation problems.

Solve equations with the variable on both sides.

Solve exponential equations and power equations.

Solve inverse variation problems.

Solve mixture problems.

Solve onestep linear equations.

Solve problems algebraically that involve area and circumference of a circle.

Solve problems algebraically that involve area and perimeter of a polygon.

Solve problems algebraically that involve volume and surface area of right circular
cylinders or right rectangular prisms.

Solve problems by computing simple and compound interest.

Solve problems involving angles of elevation or depression.

Solve problems involving exponential decay.

Solve problems involving exponential growth.

Solve problems involving percent of change.

Solve problems involving percents.

Solve problems involving ratios and proportions.

Solve problems involving similar triangles.

Solve problems requiring conversion of units within the U.S. customary system, and
within the metric system.

Solve problems that involve discounts, markups, commissions, and profit

Solve problems that require knowledge of triangle and quadrilateral properties.

Solve problems
using the Pythagorean theorem and its converse.

Solve problems using trigonometric ratios.

Solve proportions.

Solve quadratic equations that do not have real solutions.

Solve quadratic equations using zero product property .

Solve radical equations.

Solving a system of three equations in three variables.

Solving absolute value equations.

Solving absolute value inequalities.

Solving and graphing compound inequalities.

Solving equations and formulas.

Solving equations by using addition.

Solving equations containing decimals.

Solving equations for a specified variable.

Solving equations using division.

Solving equations using multiplication.

Solving equations using subtraction.

Solving equations with grouping symbols.

Solving inequalities using addition.

Solving inequalities using division.

Solving inequalities using multiplication.

Solving inequalities using subtraction.

Solving multistep equations.

Solving multistep linear inequalities.

Solving quadratic equations by completing the square.

Solving quadratic equations by factoring.

Solving quadratic equations by finding square roots.

Solving rational equations using cross products.

Solving rational equations using the LCD.

Solving systems of equations by the substitution method.

Solving systems of equations by using the elimination method (addition and subtraction).

Solving systems of equations
graphically.

Solving systems of inequalities by graphing in a coordinate plane
 Solving
systems of inequalities using algebraic method or graphs.

Solving systems of one quadratic and one linear equations.

Subtract integers.
 Subtract matrices.

Subtract rational numbers.

Subtracting polynomials.

Subtracting radical expressions.

Subtracting rational
expressions with like denominators.

Subtracting rational expressions with unlike denominators.

Switch between verbal descriptions, tables, graphs and equation representation of
functions.

The commutative and associative properties for addition and multiplication.

Translate algebraic
expressions as verbal expressions and vice versa.

Translate between equations and tables.

Translate verbal phrases into algebraic symbols assigning a variable to each unknown
quantity.

Understand and use basic exponential functions as models of real phenomena.

Understand Pythagorean triples.

Use and
evaluate the accuracy of summary statistics to describe and compare data sets.

Use estimates
of irrational numbers in appropriate situations.

Use histograms to display data and interpret the displayed data.

Use permutations to count the number of ways an event can happen.
 Use properties
of isosceles and equilateral triangles.

Use rate of change to solve problems.

Use scatter plot to describe the correlation between the two variables.

Use scatter plots to interpret
trends in data.

Use SSS, SAS, and ASA postulates to test for triangle congruence.
 Use the AAS Theorem to test
triangle congruence.

Use the basic concepts or properties of set theory.

Use the laws of exponents for integer exponents.

Use the properties of 45º45º90º and 30º60º90º triangles.

Use the rate of change to write a linear equation for a situation or a table.

Use the
rational zero theorem to find all possible rational zeros of a polynomial function.

Using the quadratic formula
to solve quadratic equations.

Vertical line test to identify functions.

Write a linear equation to a data.

Write a statement in ifthen form.

Write an equation in the form of y = mx + b.

Write an equation of a line given its graph.

Write an equation of a line given the slope and a point on the line.
 Write an equation of a line given two
points on a line.

Write an equation of a line with a given slope and a yintercept.
 Write and graph direct
variation equations.

Write linear equation in slope intercept form from given situation.
 Write recursive formula.
 Write
the converse, inverse, and contrapositive of an ifthen statement.
 Writing equations for line of fit.
