Algebra 1 Curriculum

THE FOLLOWING UNITS AND OBJECTIVES HAVE BEEN COVERED IN CLASS DURING THE SCHOOL YEAR:

Unit 1: Solving Multi-Step Equations (SOL A.4ace)

A.4 The student will solve:

a) multistep linear equations in one variable algebraically;

c) literal equations for a specified variable; and 

e) practical problems involving equations and systems of equations. 

Algebra 1 IXL Practice:

Model and solve equations using algebra tiles (A1-J.1)

Solve two-step linear equations (A1-J.4)

Solve advanced linear equations (A1-J.5)

Solve equations with variables on both sides (A1-J.6)

Solve equations: complete the solution (A1-J.7)

Find the number of solutions (A1-J.8)

Solve linear equations: word problems (A1-J.10)

Solve linear equations: mixed review (A1-J.11)

Rearrange multi-variable equations (A1-I.9)

Linear equations: solve for y (A1-S.12)

 

 

Unit 2:  Characteristics of Linear Functions (SOL A.6ac, A.7d)

A.6 The student will:

a) determine the slope of a line when given an equation of the line, the graph of the line, or two points

on the line; and 

c) graph linear equations in two variables. 

A.7d The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including intercepts

Algebra 1 IXL Practice:

Find the slope of a graph (A1-S.3)

Find the slope from two points (A1-S.4)

Slope-intercept form: find the slope and y-intercept (A1-S.6).

Slope-intercept form: graph an equation (A1-S.7)

Complete a table and graph a linear function (A1-S.14) 

Standard form: find x- and y-intercepts (A1-S.18)

Standard form: graph an equation (A1-S.19)

Graph a horizontal or vertical line (A1-S.21)

Point-slope form: graph an equation (A1-S.22)

Transformations of linear functions (A1-S.27)

 

 

Unit 3:  Linear Functions (SOL A.6b)

A.6b The student will write the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line

Algebra 1 IXL Practice:

Slope-intercept form: write an equation from a graph (A1-S.8)

Slope-intercept form: write an equation (A1-S.9)

Slope-intercept form: write an equation from a table (A1-S.10)

Equations of horizontal and vertical lines (A1-S.20)

Slopes of parallel and perpendicular lines (A1-S.25)

Write an equation for a parallel or perpendicular line (A1-S.26)

Point-slope form: write an equation (A1-S.23)

Point-slope form: write an equation from a graph (A1-S.24) 


 

 

Unit 4:  Systems of Linear Equations (SOL A.4de)

A.4 The student will solve:

d) systems of two linear equations in two variables algebraically and graphically; and 

e) practical problems involving equations and systems of equations

Algebra 1 IXL Practice:

Is (x, y) a solution to the system of equations? (A1-U.1)

Solve a system of equations by graphing (A1-U.2)

Solve a system of equations by graphing: word problems (A1-U.3)

Find the number of solutions to a system of equations by graphing (A1-U.4)

Find the number of solutions to a system of equations (A1-U.5)

Solve a system of equations using substitution (A1-U.8)

Solve a system of equations using substitution: word problems (A1-U.9)

Solve a system of equations using elimination (A1-U.10)

Solve a system of equations using elimination: word problems (A1-U.11)

Solve a system of equations using any method (A1-U.14)

Solve a system of equations using any method: word problems (A1-U.15)

 

  

Unit 5: Introduction to Polynomials (SOL A.2)

A.2 The student will perform operations on polynomials, including:

a) applying the laws of exponents to perform operations on expressions; 

b) adding, subtracting, multiplying, and dividing polynomials; and 

c) factoring completely first- and second-degree binomials and trinomials in one variable. 

 

Algebra 1 IXL Practice:

Negative exponents (A1-V.3)

Multiplication with exponents (A1-V.4)

Division with exponents (A1-V.5)

Multiplication and division with exponents (A1-V.6)

Power rule (A1-V.7)

Multiply monomials (A1-Y.2)

Divide monomials (A1-Y.3)

Multiply and divide monomials (A1-Y.4)

Powers of monomials (A1-Y.5)

Add and subtract polynomials (A1-Z.4)

Multiply a polynomial by a monomial (A1-Z.6)

Multiply two binomials (A1-Z.8)

Multiply two binomials: special cases (A1-Z.9)

Multiply polynomials (A1-Z.10)

GCF of monomials (A1-AA.1)

Factor out a monomial (A1-AA.2)

 

 

 

Unit 6: Quadratic Functions (SOL A.7, A.9)

A.9 The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems, using mathematical models of linear and quadratic functions. 

Algebra 1 IXL Practice:

Interpret a scatter plot (A1-KK.8)

Scatter plots: line of best fit (A1-KK.12)

Find the equation of a regression line (A1-KK.13)

A.7 The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including:

b) domain and range; 

c) zeros; 

d) intercepts; 

e) values of a function for elements in its domain; and 

f) connections between and among multiple representations of functions using verbal descriptions, 

tables, equations, and graphs

Algebra 1 IXL Practice:

Characteristics of quadratic functions: graphs (A1-BB.1)

Characteristics of quadratic functions: equations (A.1-BB.2)

Complete a function table: quadratic functions (A1-BB.3)

Graph quadratic functions in vertex form (A1-BB.5)

Match quadratic functions and graphs (A1-BB.13)

 

 

Unit 7: Solving Quadratic Equations (SOL A.2bc, A.4b)

A.2 The student will perform operations on polynomials, including:

b) adding, subtracting, multiplying, and dividing polynomials; and 

c) factoring completely first- and second-degree binomials and trinomials in one variable. 

Algebra 1 IXL Practice:

Divide polynomials by monomials (A1-GG.5)

Factor quadratics with leading coefficient 1 (A1-AA.4)

Factor quadratics with other leading coefficients (A1-AA.5)

Factor quadratics: special cases (A1-AA.6)

Factor by grouping (A.1-AA.7)

Factor polynomials (A.1-AA.8)

A.4b The student will solve quadratic equations in one variable algebraically 

Algebra 1 IXL Practice:

Solve a quadratic equation using the zero product property (A1-BB.7)

Solve a quadratic equation by factoring (A1-BB.8)

Solve a quadratic equation using the quadratic formula (A1-BB.11)

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UNITS AND OBJECTIVES THAT HAVE NOT BEEN COVERED IN CLASS DURING THE SCHOOL YEAR:


Unit 8: Simplify and evaluate expressions

A.1 (Objective completed in previous units) The student will:

a) represent verbal quantitative situations algebraically; and

b) evaluate algebraic expressions for given replacement values of the variables. 


A.2a (Objective completed in previous units) The student will perform operations on polynomials, including applying the laws of exponents to perform operations on expressions


A.3 The student will simplify:

a) square roots of whole numbers and monomial algebraic expressions; 

b) cube roots of integers; and 

c) numerical expressions containing square or cube roots. 



Unit 9:  Inequalities

A.5 The student will:

a) solve multistep linear inequalities in one variable algebraically and represent the solution graphically; 

b) represent the solution of linear inequalities in two variables graphically; 

c) solve practical problems involving inequalities; and 

d) represent the solution to a system of inequalities graphically.



Unit 10:  Functions

A.7 The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including:

a) determining whether a relation is a function; 

b) domain and range; 

c) zeros; 

d) intercepts; 

e) values of a function for elements in its domain; and 

f) connections between and among multiple representations of functions using verbal descriptions, 

tables, equations, and graphs


A.8 The student, given a data set or practical situation, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically.