Pre-Algebra

Topics in Pre Algebra

This page lists the Learning Objectives for all 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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