Algebra I-AB Concept Organizer
Alignment to Algebra’scool®
UNIT 1: SOLUTIONS OF LINEAR SENTENCES IN ONE VARIABLE
Algebra I AB Concept Organizer
Transitioning from previous mathematics to Algebra I
Add, subtract, multiply, and divide rational numbers and take positive rational
numbers to whole-number powers
Multiply, divide, and simplify rational numbers by using exponent rules
Work with rates, ratios, and percents to solve problems
Understand the connections from arithmetic to algebra
Understand the meaning of variables and variable expressions
Apply the concept of absolute value to simple equations
Solve simple equations using mental math
Simplify numerical expressions using the properties of real numbers including the
distributive property
Evaluate algebraic expressions
Translate phrases into algebraic expressions
Understand and solve equations in one variable (including absolute value)
Solve linear equations in one variable (including proportions)
Graph solutions to equations on a number line
Solve application problems
1.3
1.4, 11.1, 11.2
4.2, 4.4
2.1, 2,2
6.1, 6.2
3.2, 5.1
1.2, 1.3, 1.4, 1.5, 2.3, 2.4
2.5
2.2
3.2, 3.3, 3.4, 3.5, 3.6, 4.2, 4.3,
4.4, 6.1, 6.2
1.1
4.2, 4.3, 4.4
UNIT 2: SOLUTIONS AND GRAPHS OF LINEAR SENTENCES IN ONE AND TWO VARIABLES
Algebra I AB Concept Organizer
Understand and graph linear equations in one and two variables using a variety
of techniques
Verify that a point lies on, above, or below a line
Evaluate the slope of a line
Graph a linear function by plotting points, using intercepts, and using the slope and yintercept
Sketch the region defined by a linear inequality
Identify characteristics of parallel and perpendicular lines
Understand and derive linear equations using a variety of techniques
Derive the equation of a line given the slope and a point on the line
Derive the equation of a line given 2 points on the line
Derive the equation of a line parallel or perpendicular to a given line through a given
point
Understand and solve inequalities in one variable (including absolute value)
Solve inequalities in one variable
Solve linear absolute value inequalities
Graph inequality solutions (including absolute value) on a number line
CA Concept Organizer Algebra IAB Alignment to Algebra'scool.doc
August 31, 2007
Page 1 of 2
7.2
8.1
7.2
7.3, 7.4
8.1
8.3
8.3
8.3
5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7
6.3, 6.4, 6.5
6.3, 6.4, 6.5
Algebra I-AB Concept Organizer
Alignment to Algebra’scool®
UNIT 3: SOLUTIONS AND GRAPHS OF SYSTEMS OF LINEAR SENTENCES IN TWO VARIABLES; QUADRATIC
EQUATIONS AND FUNCTIONS
Algebra I AB Concept Organizer
Understand and solve systems of linear equations and linear inequalities
graphically and algebraically
Solve systems of equations by graphing
Solve systems of linear inequalities by graphing
Solve systems of two linear equations using substitution and elimination
Solve application problems using the above techniques
10.1
10.4
10.2, 10.3
10.5
Understand how to solve quadratic equations and how to interpret the graphs of
quadratic functions
Solve quadratic equations by:
(1) Graphing (x-intercepts)
(2) Finding square roots
(3) Using the quadratic formula
Relate the graph of a quadratic function to its related quadratic equation
Solve application problems using the above techniques
14.2, 14.3
13.2
13.5
14.2
14.3
UNIT 4: QUADRATIC EQUATIONS AND FUNCTIONS; OPERATIONS ON POLYNOMIALS; OPERATIONS WITH
RATIONAL EXPRESSIONS AND RATIONAL EQUATIONS
Algebra I AB Concept Organizer
Understand monomials and polynomials and perform operations on them
(including factoring) and apply to solutions of quadratic equations
Perform operations on monomials and polynomials
Factor 2nd degree polynomials over the integers
Use the zero-product rule and factoring as well as completing the square to solve
simple quadratics
Solve application problems using the above techniques
11.1, 11.2, 11.3, 11.4, 11.5, 11.6,
11.7
12.1, 12.2, 12.3, 12.4, 12.5, 12.6,
12.7
13.3, 13.4
13.6
Understand the arithmetic of rational expressions
Simplify rational expressions
Perform arithmetic operations on and with rational expressions
15.1, 15.2, 15.3, 15.4
15.1, 15.2, 15.3, 15.4
Understand and solve rational equations in one variable
Solve rational equations
Solve applications problems using the above techniques
16.1, 16.2, 16.3, 16.4
16.2, 16.3, 16.4
CA Concept Organizer Algebra IAB Alignment to Algebra'scool.doc
August 31, 2007
Page 2 of 2