Pre-Algebra

Learning Topics: 

Order of operations, order of operations with exponents, PEMDAS, order of operations with integers, writing algebraic expressions, writing algebraic equations.

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.