This page lists the Learning Objectives for each core lesson in Unit 5
of 13.
Introduction to Integers
The student will be able to:
- Name real-life situations that involve opposites.
- Define the set of integers, positive and negative numbers, opposites, and signs.
- Name an integer to represent a real-life situation.
- Name the opposite of an integer.
- Name real-life situations that reflect integer opposites.
- Apply integer concepts to solve problems.
Absolute Value
The student will be able to:
- Define absolute value.
- Find the absolute value of each integer in a set of numbers.
- Write the absolute value of an integer using the proper notation.
- Find all integers that satisfy a given condition for absolute value.
- Apply absolute value concepts to solve problems.
Comparing and Ordering Integers
The student will be able to:
- Compare two integers, using the proper inequality symbol.
- Order a set of integers from least to greatest.
- Order a set of integers from greatest to least.
- Apply the procedures for comparing and ordering integers to solve problems.
Adding Integers
The student will be able to:
- Recognize the relationship between a negative integer and owing money.
- Review the definition of absolute value.
- Add integers using a procedure involving absolute value.
- Apply the procedure for integer addition to solve problems.
Subtracting Integers
The student will be able to:
- Subtract integers using an arithmetic procedure.
- Apply the procedure for integer subtraction to solve problems.
Multiplying Integers
The student will be able to:
- Define the Associative Law of Multiplication.
- State the rules for multiplying integers.
- Multiply 2 integers with like signs, applying the rules for multiplying integers.
- Multiply 2 integers with unlike signs, applying the rules for multiplying integers.
- Multiply 3 integers, two at a time, applying the rules for multiplying integers.
- Recognize that the Associative Law of Multiplication applies to integer multiplication.
- Apply the procedure for integer multiplication to solve problems.
Dividing Integers
The student will be able to:
- State the rules for dividing integers.
- Divide integers with like signs, applying the rules for dividing integers.
- Divide integers with unlike signs, applying the rules for dividing integers.
- Apply the procedure for integer division to solve problems.
Operations With Integers
The student will be able to:
- State the rules and procedures for adding, subtracting, multiplying and dividing integers.
- Apply the procedures for all four integer operations to solve mixed-review problems.
Practice Exercises
The student will be able to:
- Identify the concepts and procedures needed to solve each problem.
- Apply integer concepts to solve problems.
- Construct a list of integers in order from least to greatest.
- Construct a list of integers in order from greatest to least.
- Evaluate problems involving integer operations
Challenge Exercises
The student will be able to:
- Analyze each problem to identify the given information.
- Identify the concepts and procedures needed to solve each problem.
- Apply integer concepts to solve non-routine problems.
- Identify connections between integers and the real world.
- Develop strong problem-solving skills.
Solutions
The student will be able to:
- Analyze the solution for each exercise presented in this unit.
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