ALGEBRA IB CURRICULUM MAPPING
Mary Frank Yates
August/September
Review of Algebra I-A
Concepts
Order of Operation
Exponents
Commutative, Associative, and
Distributive Properties
Combining Like Terms
Solution Set of Sentences
Opposites and Absolute Value
Addition, Subtraction,
Multiplication, and Division
Of Real Numbers
Mixed Operations
Removing Parentheses: Negative
Factors
Solving Equations
Translate English to Algebra
Solve Equations with Fractions
And Decimals
Percents
Solving Inequalities
Solving Absolute Value Equations
And Inequalities
Polynomial and Powers
Factoring Polynomials
Solving Quadratic Equations by
Factoring
Skills
The student will be able to
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use order of operation.
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simplify expressions containing exponents.
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recognize the Commutative, Associative, and Distributive Properties.
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use the Distributive Property.
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combine like terms.
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find the solution of an open sentence.
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simplify expressions involving opposites and absolute value.
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add, subtract, multiply, and divide real numbers.
  simplify numerical expressions.
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simplify expressions containing negative factors.
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translate English to Algebra.
solve equations using decimals and fractions.
solve problems involving percents.
solve and graph inequalities.
solve absolute value equations and inequalities.
add, subtract, and multiply polynomials.
use the laws of exponents.
factor polynomials.
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solve quadratic equations by factoring.
Assessment
Homework Assignments
Weekly Tests
Hand-In Assignments
Technology
Overhead Projector
Calculator Operations
October
Finish Review of Algebra I-A if
necessary
Chapter 8
Concepts
Simplify Rational Expressions
Multiply Rational Expressions
Divide Rational Expressions
Adding and Subtracting Rational
Expressions: Like Denominators
Adding and Subtracting Rational
Expressions: Unlike Denominators
Adding and Subtracting:
Polynomial Denominators
Dividing Polynomials
Complex Rational Expressions
Skills
The student will be able to
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simplify rational expressions by writing polynomials in convenient form.
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multiply rational expressions.
  divide rational expressions.
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add and subtract rational expressions with like denominators.
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add and subtract rational expressions with unlike denominators.
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add and subtract rational expressions with unlike polynomial denominators.
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divide polynomials.
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simplify complex fractions and complex rational expressions.
Assessment
Homework Assignments
Weekly Tests
Hand-In Assignments
Technology
Overhead Projector
Calculator Operations
November
Chapter 9
Concepts
Rational Equations
Ratios and Proportion
Literal Equations
Problem Solving: Motion
Problem Solving: Work
Dimensional Analysis
Skills
The student will be able to
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solve equations containing rational expressions.
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solve proportions.
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solve literal equations.
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solve motion problems.
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solve work problems.
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convert from one unit of measurement to another by using dimensional analysis.
Assessment
Homework Assignments
Weekly Tests
Hand-In Assignments
Technology
Overhead Projector
Calculator Operations
December
1st Half Chapter 10
Review for Midterm
Concepts
Coordinates of Points in a Plane
Relations and Functions
Values of a Function
Equations with Two Variables
Skills:
The student will be able to
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plot points on a coordinate plane.
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identify the quadrant in which a given point is located.
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give the coordinates of a point in a plane.
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graph relations and functions.
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determine the domain and range of a relation.
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determine whether a relation is a function.
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find values of a function using the f(x) notation.
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determine the range of a function for a given domain.
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solve an equation in two variables from a given replacement set.
Assessment
Homework Assignments
Weekly Tests
Hand-In Assignments
Midterm Exam
Technology
Overhead Projector
Calculator Operations
Assessment
Homework Assignments
Weekly Tests
Hand-In Assignments
Midterm Exam
Technology
Overhead Projector
Calculator Operations
January
2nd Half Chapter 10
Chapter 11
Concepts
Graphing Linear Equations
Direct Variation
Inverse Variation
Slope of a Line
Equation of a Line: Point Slope Form
Equation of a Line: Slope Intercept Form
Line Relationships
Graphing Linear Inequalities
Skills
The student will be able to
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graph linear equations using an x/y table.
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determine whether a relation is a function by using the Vertical Line Test.
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find the missing values in a direct variation.
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find the missing values in an inverse variation.
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find the slope of a line.
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write an equation of a line given a point on the line and the slope.
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write an equation of the line given two points on the line.
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write an equation of a line given a graph.
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graph a linear equation using slope intercept form.
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graph a linear equation using s and y intercepts.
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determine whether lines are parallel or perpendicular using slope.
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graph linear inequalities.
Assessment
Homework Assignments
Weekly Tests
Hand-In Assignments
Technology
Overhead Projector
Calculator Operations
February
Chapter 12
Concepts
Solving Systems of Equations by
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Graphic Method
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Addition Method
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Substitution Method
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Multiplication Method
Digit Problems
Age Problems
Coin and Mixture Problems
Motion Problems
Systems of Inequalities
Skills
The student will be able to
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solve systems of linear equations by graphing.
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solve systems of equations by the substitution method.
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solve systems of equations using the multiplication method.
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solve two-digit number problems using systems of equations.
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solve age problems using systems of equations.
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solve coin and mixture problems using systems of equations.
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solve motion problems using systems of equations.
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solve systems of inequalities by graphing.
Assessment
Homework Assignments
Weekly Tests
Hand-In Assignments
Technology
Overhead Projector
Calculator Operations
March
Chapter 13
Concepts
Rational and Irrational Numbers
Square Roots
Approximating Square Roots
Pythagorean Theorem
Simplify Radicals
Adding and Subtracting
Radicals
Multiplying Radicals
Dividing Radicals
Radical Equations
Skills
The student will be able to
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express rational numbers as decimals.
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write terminating and repeating decimals as fractions.
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determine if a decimal is rational or irrational.
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find square roots of positive numbers.
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approximate square roots by using a square root table and a calculator.
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use Pythagorean Theorem.
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simplify square roots in which radicands contain variables raised to even or odd powers.
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add and subtract radicals.
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multiply radicals.
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divide radicals.
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solve radical equations.
Assessment
Homework Assignments
Weekly Tests
Hand – In Assignments
Technology
Overhead Projector
Calculator Operations
April
Chapter 14
Concepts
Square Root Property
Completing the Square
Quadratic Formula
Problem Solving: Quadratic
Equations and Geometry
Quadratic Functions
Quadratic Functions and the
Discriminate
Skills
The student will be able to
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solve quadratic equations by using the Square Root Property.
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solve quadratic equations by completing the square.
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solve quadratic equations by using the quadratic formula.
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solve geometric problems that lead to quadratic equations.
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graph quadratic functions.
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find coordinates of the vertex and the equation for the axis of symmetry of a parabola.
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find maximum or minimum point of a quadratic function.
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find the x-intercepts of a quadratic function.
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find the number of solutions of a quadratic equation using the discriminate.
Assessment
Homework Assignments
Weekly Tests
Hand-In Assignments
Technology
Overhead Projector
Calculator Operations
May
Chapter 16
Review for Final Exam
Concepts
Probability of an Event
Probability: Compound
Events
Mean, Median, and Mode
Skills
The student will be able to
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determine the probability of an event.
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determine the probability of an event that is certain to happen or one that cannot happen.
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determine the probability of independent events.
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determine the probability of compound events.
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find mean, median, and mode of a set of data.
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construct a frequency table and find the mean, median, and mode for the data in the table.
Assessment
Homework Assignments
Weekly Test
Hand-In Assignments
Final Exam
Technology
Overhead Projector
Calculator Operations