This page lists the Learning Objectives for each core lesson in Unit 7 of 13.
Order of Operations
The student will be able to:
- Define arithmetic operations, fraction bar, and vinculum.
- State the basic rules for order of operations.
- Recognize the need for such rules in mathematics.
- Evaluate examples in which the above rules are applied to arithmetic expressions.
- Apply order of operations rules to solve problems.
Operations With Exponents
The student will be able to:
- Evaluate a sample problem that includes an exponent in the arithmetic expression.
- State the expanded rules for order of operations (including exponents).
- Evaluate examples in which the revised rules are applied to arithmetic expressions.
- State the PEMDAS mnemonic for recalling rules for order of operations.
- Apply the revised rules for order of operations to solve problems.
Operations With Integers
The student will be able to:
- Evaluate examples in which integers are included in arithmetic expressions.
- Identify the use of parentheses and brackets in problems that involve integers.
- Evaluate examples in which fractions are included in arithmetic expressions.
- Identify the use of division in problems that involve fractions.
- State the revised rules for order of operations.
- Apply all rules for order of operations to solve problems.
Algebraic Expressions
The student will be able to:
- Define variables, numerical expressions, and algebraic expressions.
- Evaluate examples in which written phrases are translated into algebraic expressions.
- Evaluate real-world problems in which verbal phrases are translated into algebraic expressions.
- Identify the use of different letters to represent a variable.
- Apply procedures for translating verbal phrases in algebraic expressions to solve problems.
Algebraic Equations
The student will be able to:
- Evaluate examples in which open sentences are translated into algebraic equations.
- Evaluate examples that translate real-world problems into algebraic equations.
- Identify the use of different variables in the equations presented.
- Apply procedures for translating open sentences in algebraic equations to solve problems.
Practice Exercises
The student will be able to:
- Evaluate arithmetic expressions by applying the order of operations.
- Create algebraic expressions for verbal phrases.
- Create algebraic equations for sentences.
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 pre-algebra concepts to solve real-world problems.
- Identify connections between pre-algebra 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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