Alabama- Mathematics: 12th Grade

Alabama High School Graduation Exam    Adopted: 2007

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I: The student will be able to perform basic operations on algebraic expressions.

I.1: Apply order of operations

Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions
 Order of Operations

I.2: Add and subtract polynomials

Addition and Subtraction of Polynomials
 Addition of Polynomials - Activity A

I.3: Multiply polynomials

Multiplying Exponential Expressions

I.4: Factor polynomials

Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

II: The student will be able to solve equations and inequalities.

II.1: Solve multi-step equations of first degree

Modeling One-Step Equations - Activity B
 Modeling and Solving Two-Step Equations
 Solving Two-Step Equations

II.2: Solve quadratic equations that are factorable

Modeling the Factorization of ax2+bx+c

II.3: Solve systems of linear equations

Modeling Linear Systems - Activity A
 Solving Linear Systems by Graphing
 Special Types of Solutions to Linear Systems
 Systems of Linear Equations - Activity A

II.4: Solve multi-step inequalties

Solving Inequalities Using Multiplication and Division
 Solving Linear Inequalities using Addition and Subtraction

IV: The student will be able to apply formulas.

IV.1: Find perimeter, circumference, area, volume of geometric figures

Area of Parallelograms - Activity A
 Circle: Circumference and Area
 Prisms and Cylinders - Activity A
 Rectangle: Perimeter and Area
 Surface and Lateral Area of Prisms and Cylinders

IV.2: Find the distance, midpoint, slope of line segments when given two points

Defining a Line with Two Points
 Distance Formula - Activity A
 Slope - Activity B

V: The student will be able to apply graphing techniques.

V.1: Graph or identify graphs of linear equations

Linear Functions

V.2: Graph lines given certain conditions

Defining a Line with Two Points
 Point-Slope Form of a Line - Activity A
 Slope-Intercept Form of a Line - Activity A

V.3: Graph solution sets of inequalities

Compound Inequalities
 Solving Inequalities Using Multiplication and Division
 Solving Linear Inequalities using Addition and Subtraction

V.4: Identify graphs of common relations

Quadratic and Absolute Value Functions

VI: The student will be able to represent problem situations.

VI.1: Translate verbal or symbolic information into algebraic expressions; or identify equations or inequalities that represent graphs or problem situations.

Using Algebraic Equations
 Using Algebraic Expressions

VII: The student will be able to solve problems involving a variety of algebraic and geometric concepts

VII.1: Apply properties of angles and relationships between angles.

Investigating Angle Theorems - Activity A
 Investigating Angle Theorems - Activity B

VII.2: Apply Pythagorean Theorem

Distance Formula - Activity A
 Pythagorean Theorem - Activity A

VII.3: Aply properties of similar polygons

Perimeters and Areas of Similar Figures
 Similar Polygons

VII.4: Apply properties of plane and solid geometric figures

Area of Parallelograms - Activity A
 Circle: Circumference and Area
 Polygon Angle Sum - Activity A
 Prisms and Cylinders - Activity A
 Rectangle: Perimeter and Area
 Surface and Lateral Area of Prisms and Cylinders
 Triangle Angle Sum - Activity A

VII.5: Determine measures of central tendency

Density Laboratory
 Describing Data Using Statistics

VII.6: Determine probabilities

Compound Independent Events
 Compound Independent and Dependent Events
 Theoretical and Experimental Probability

VII.7: Solve prblems: Direct variation

Beam to Moon (Ratios and Proportions)
 Direct Variation
 Estimating Population Size
 Perimeters and Areas of Similar Figures
 Proportions and Common Multipliers

VII.8: Solve Problems: Algebraic Concepts

Distance-Time and Velocity-Time Graphs

Correlation last revised: 3/17/2015

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.