CPM (College Preparatory Mathematics)
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Rather than the traditional “skill and drill” method to teaching, CPM focuses on “mixed-space practice”, where content is introduced and continuously reinforced across chapters. This provides students ample practice and exposure to skills before expecting mastery, promoting deep understanding and retention of content.
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Curriculum
Important Links:
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Student eBook: Students have access to the eBook. The username and password is the same as their Gahanna computer login.
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Click here for a copy of this entire chapter outline featured below.
Chapter 1: Introduction and Probability
In this chapter, you will:
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Find the likelihood that a specific event will occur.
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Calculate the probabilities of two separate events to decide which is more likely to happen.
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Find both experimental and theoretical probabilities of events.
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Add and subtract fractions, as well as write equivalent fractions.
Checkpoint: Area and perimeter of polygons
Chapter 3: Arithmetic Properties
In this chapter, you will learn how to:
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Simplify expressions with multiple operations by identifying and evaluating groups.
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Subtract and multiply positive and negative numbers.
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Build (compose) and take apart (decompose) numbers and lengths.
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Divide with fractions, mixed numbers, and decimals.
Checkpoint: Operations (+ , -, , ) with decimals and fractions
Chapter 5: Probability and Solving Word Problems
In this chapter, you will learn how to:
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Find and use percentages to solve problems.
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Calculate the probability of compound (multiple) events.
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Use experimental results to make and test conjectures about unknown sample spaces.
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Describe how the relationship between experimental and theoretical probabilities for an experiment changes as the experiment is conducted many times.
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Solve situational problems using the 5‑D Process.
Checkpoint: Order of operations
Chapter 7: Proportions and Percents
In this chapter, you will learn how to:
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Solve problems involving distance, rate, and time.
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Solve equations that have fractional or decimal coefficients.
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Find the whole amount if you only know a percentage of it, and vice versa.
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Calculate simple interest.
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Set up and solve proportional equations.
Checkpoint: Simplifying expressions
Checkpoint: Data distributions
Chapter 2: Fractions and Integer Addition
In this chapter, you will learn how to:
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Rewrite numbers in different forms in order to compare them.
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Determine whether a fraction can be rewritten as a repeating or terminating decimal.
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Build (compose) and take apart (decompose) numbers and lengths.
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Add and multiply positive and negative integers and rational numbers.
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Choose appropriate scales and set up useful graphs for data.
Checkpoint: Multiple representations of portions (FDP)
Chapter 4: Proportions and Expressions
In this chapter, you will learn how to:
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Find solutions to problems involving proportional relationships.
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Identify proportional relationships in tables, graphs, and equations.
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Calculate unit rates.
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Combine like terms and simplify algebraic expressions.
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Rewrite expressions by combining like terms and using the Distributive Property.
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Simplify and compare two algebraic expressions.
Chapter 6: Solving Inequalities and Equations
In this chapter, you will learn how to:
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Simplify and compare two algebraic expressions.
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Write and solve algebraic inequalities.
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Solve for a variable when two expressions are equal.
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Write and solve an equation to solve a word problem.
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Recognize when an equation has no solution or infinite solutions.
Checkpoint: Writing and evaluating algebraic expressions
Chapter 8: Statistics and Angle Relationships
In this chapter, you will learn how to:
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Describe, analyze and compare sets of data using measures of central tendency, such as mean and median, and using the variation, including range and inter quartile range (IQR).
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Attempt to find random and representative samples to complete a survey.
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Identify angles by their characteristics and use correct vocabulary to describe and name them.
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Construct triangles and quadrilaterals with given side lengths and/or angles and predict if they will be unique shapes.
Checkpoint: Solving multi-step equations
Chapter 9: Circles and Volume
In this chapter, you will learn how to:
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Calculate the circumferences and areas of circles.
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Find the areas of shapes made up of special quadrilaterals, circles, and triangles.
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Calculate the volumes of some three-dimensional shapes.
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Find the surface areas and volumes of rectangular prisms.
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Checkpoint: Unit rate and proportions