Learning Topics:
Order of operations, order of operations with exponents, PEMDAS, order of operations with integers, writing algebraic expressions, writing algebraic equations.
Learning Objectives for all Pre-algebra Lessons in Unit 7.
Order of Operations
The student will be able to:
- Define arithmetic operations, fraction bar and vinculum.
- Restate the basic rules for order of operations.
- Recognize the need for such rules in mathematics.
- Evaluate arithmetic expressions by applying the rules.
- Apply order of operations rules to complete five interactive exercises.
Operations With Exponents
The student will be able to:
- Examine an arithmetic expression that includes an exponent.
- Restate the expanded rules for order of operations.
- Examine examples in which the expanded rules are applied to arithmetic expressions.
- Describe how to evaluate an arithmetic expression using the order of operations.
- Restate the PEMDAS mnemonic for the order of operations.
- Evaluate arithmetic expressions by applying the expanded rules.
- Apply the revised rules to complete five interactive exercises.
Operations With Integers
The student will be able to:
- Define integers.
- Review the order of operations and PEMDAS.
- Evaluate examples in which integers are included in arithmetic expressions.
- Describe the use of parentheses and brackets to decipher expressions involving integers.
- Examine examples in which fractions are included in arithmetic expressions.
- Describe how division applies to expressions that include fractions.
- Evaluate arithmetic expressions by applying the expanded rules.
- Summarize the complete set of rules for the order of operations, including brackets and fractions.
- Apply the expanded rules to complete five interactive exercises.
Algebraic Expressions
The student will be able to:
- Define variables, numerical expressions and algebraic expressions.
- Examine examples in which phrases are translated into algebraic expressions.
- Examine real-world problems in which phrases are translated into algebraic expressions.
- Explain the use of different letters to represent a variable.
- Translate phrases in algebraic expressions.
- Apply procedures to complete five interactive exercises.
Algebraic Equations
The student will be able to:
- Define algebraic equation.
- Examine examples in which open sentences are translated into algebraic equations.
- Examine real-world problems in which open sentences are translated into algebraic equations.
- Explain how different variables can be used to represent unknown quantities in the equations presented.
- Translate open sentences in algebraic equations.
- Apply procedures to complete five interactive exercises.
Practice Exercises
The student will be able to:
- Examine ten interactive exercises for all topics in this unit.
- Determine which rules and procedures are needed to complete each practice exercise.
- Compute answers by applying appropriate rules and procedures.
- Self-assess knowledge and skills acquired from this unit.
Challenge Exercises
The student will be able to:
- Evaluate ten interactive exercises with word problems for all topics in this unit.
- Analyze each word problem to identify the given information.
- Formulate a strategy for solving each problem.
- Apply strategies to solve routine and non-routine problems.
- Synthesize all information presented in this unit.
- Identify connections between pre-algebra and the real world.
- Develop problem-solving skills.
Solutions
The student will be able to:
- Examine the solution for each exercise presented in this unit.
- Identify which solutions need to be reviewed.
- Compare solutions to completed exercises.
- Identify and evaluate incorrect solutions.
- Repeat exercises that were incorrectly answered.
- Identify areas of strength and weakness.
- Decide which rules and procedures need to be reviewed from this unit.
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