PRE-ALGEBRA CURRICULUM MAPPING
Mary Frank Yates
AUGUST/SEPTEMBER
Chapters 1 and 2
Concepts
Integers
Comparing and Ordering Integers
Addition, Subtraction, Multiplication, and Division of Integers
Variables and Expressions
Problem Solving
Order of Operation
Commutative, Associative, and Distributive Properties
Identity Properties
Perimeter, Area, and Average Formulas
Area Formulas: Parallelograms, Triangles, and Trapezoids
Skills
The student will be able to
 determine the absolute value of an integer.
 determine the opposite of an integer.
 compare integers.
 write integers in ascending and descending order.
 add, subtract, multiply, and divide integers.
 apply problem solving strategies.
 translate word descriptions into algebraic expressions.
 evaluate algebraic expressions.
 follow a step by step process to solve problems.
 use order of operations to simplify numerical expressions.
 use the Commutative, Associative, Distributive, and Identity Properties.
 compute the perimeter and area of squares and rectangles.
 find the average of a set of data.
 find the area of parallelograms, triangles, and trapezoids.
Assessment
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Homework Assignments
Hand-In Assignments
Weekly Tests
Technology
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Overhead Projector
OCTOBER
Chapters 3 and 4
Concepts
Solve Simple Inequalities
Solving Equations Using Addition, Subtraction, Multiplication, and Division
Inverse Operations
Solving Multi-step Equations
Translating Word Expressions to Algebraic Expressions
Problem Solving: Writing Equations
Factors and Multiples
Divisibility Tests
Prime Numbers
Prime Factorization
Problem Solving Strategies
Exponents
GCF and LCM
Skills
The student will be able to
 find the solution of an equation or inequality.
 solve equations using addition, subtraction, multiplication, and division.
 use strategies in problem solving.
 solve equations using inverse operations.
 solve equations using a multi-step process.
 translate word expressions to algebraic expressions.
 solve word problems by writing equations.
 list the factors and multiples of a number.
 apply the tests for divisibility by 2, 3, 4, 5, 6, 8, 9, and 10.
 explore prime numbers by using patterns.
 determine whether a number is prime or composite.
 write the prime factorization of a number.
 simplify expressions containing exponents.
 evaluate expressions containing exponents.
 find the GCF and LCM of two or more numbers.
Assessment
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Homework Assignments
Hand-In Assignments
Weekly Tests
Technology
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Overhead Projector
NOVEMBER
Chapters 5
Concepts
Add, Subtract, Multiply, and Divide Fractions.
Problem Solving Strategies
Using Reciprocals to Solve Equations
Skills
The student will be able to
 show that two fractions are equivalent.
 write fractions in lowest terms.
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apply problem solving strategies
multiply fractions
multiply mixed numbers
find the reciprocal of a number
solve multiplication equations using the Multiplication Property of Reciprocals
divide fractions and mixed numbers
add, subtract, and compare fractions having like denominators.
Assessment
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Homework Assignments
Hand-In Assignments
Weekly Tests
Technology
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Overhead Projector
DECEMBER
Finish Chapter 5
Review for Mid-term Exam
Concepts
Adding and Subtracting Fractions with Unlike Denominators
Subtracting Mixed Numbers
Skills
The student will be able to
 add fractions with unlike denominators.
 subtract fractions with unlike denominators.
 subtract mixed numbers.
Assessment
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Homework Assignments
Hand-In Assignments
Weekly Tests
Midterm Exam
Technology
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Overhead Projector
JANUARY
Chapter 6
Concept
Ratio and Proportion
Solving Proportions
Ratio and Measurement
Problem Solving Strategies Collecting Data
Problem Solving Strategies Recording Chances
Probability
Independent and Dependent Events
Making Choices
Permutations
Skills
The student will be able to
 make comparisons by using ratios.
 solve proportions.
 use proportions to solve problems.
 convert customary units of measure.
 find lengths using scale drawings.
 apply strategies in problem solving.
 explore probability with experiments.
 determine the probability of a simple event.
 calculate the probabilities of independent and dependent events.
 find the total number of choices by using the Fundamental Counting Principle.
 Find the number of permutations in a given situation.
Assessment
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Homework Assignments
Hand-In Assignments
Weekly Tests
Technology
 Overhead Projector
FEBRUARY
Chapter 7 and First Half of Chapter 8
Concepts
Rational Expressions
Rational Numbers
Decimals and Fractions
Repeating Decimals
Estimating Sums and Differences
Problems Solving Exploration: Powers of Ten
Scientific Notation
Problem Solving Exploration: The Metric System
Products and Quotients of Decimals
Meaning of Percent
Decimals and Percents
Finding the Percent of a Number
Interest
Skills
The student will be able to
 evaluate rational expressions
 compare rational numbers.
 add, subtract, multiply, and divide rational numbers.
 write a decimal in expanded form.
 write a fraction for a decimal.
 write rational numbers as decimals.
 estimate sums and differences of decimals.
 add and subtract decimals.
 explore rules for multiplying powers.
 write numbers in scientific notation.
 compute products and quotients in scientific notation.
 explore how the powers of ten are related to changing units in the metric system.
 estimate products and quotients of decimals.
 multiply and divide decimals.
 write a fraction as a percent.
 write a decimal as a percent.
 find the percent of a number.
 compute simple interest.
 compute compound interest.
Assessment
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Homework Assignments
Hand-In Assignments
Weekly tests
Technology
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Overhead Projector
MARCH
Finish Chapter 8 and Chapter 10
Concepts
Discount
Solving Percent Equations
Percent Increase and Decrease
Set of Real Numbers
Addition Property of Inequality
Multiplication Property of Inequality
Solving Inequalities
SKILLS
The student will be able to
 compute the discount.
 find the sale price of an item.
 solve percent equations.
 find percent increase and decrease.
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graph an inequality.
describe the solution set of an inequality.
solve and graph an inequality that involves addition or subtraction.
solve and graph an inequality that involves multiplication.
solve inequalities using a multi-step process.
Assessment
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Homework Assignments
Hand-In Assignments
Weekly Tests
Technology
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Overhead Projector
APRIL
Chapters 11, 12, and 14
Concepts
Coordinate Graphs
Graphing Linear Equations Using An X/Y Table
Square Roots
Pythagorean Theorem
Similar Triangles
Angles and Angle Measure
Parallel and Perpendicular Lines
Triangles
Polygons
Circumference and Area of Circles
Circle Graphs
Skills
The student will be able to
 find coordinates of points.
 graph points in a coordinate plane.
 graph a linear equation using an x/y table.
 explore square roots.
 determine the length of a side of a right triangle.
 solve problems involving right triangles.
 solve problems involving similar figures.
 measure and classify angles.
 determine the measure of complementary and supplementary angles.
 find the measure of vertical angles, corresponding angles, alternate interior angles, and alternate
exterior angles.
 classify triangles by sides and by angles.
 find the measures of the angles of a triangle.
 classify polygons
 find the measures of the angles of a quadrilateral.
 find the circumference and area of a circle.
 set up and draw a circle graph.
Assessment
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Homework Assignments
Hand-In Assignments
Weekly Tests
Technology
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Overhead Projector
MAY
Chapter 9
CONCEPTS
Misleading Graphs
Using Data from Tables and Graphs
Organizing and Presenting Data
Measure of Central Tendency
Stem and Leaf Plots
Box and Whisker Plots
SKILLS
The student will be able to
 discover ways in which graphs can be misleading.
 use information presented in graphs and tables.
 organize data as a frequency table and as a histogram.
 find the mean, median, and mode of a set of data.
 construct and stem and leaf plot.
 construct a box and whisker plot and analyze its data.
Assessment
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Homework Assignments
Hand-In Assignments
Weekly Tests
Technology
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Overhead Projector