Unit 3 – Algebra Basics

Unit Description

The student will perform basic operations with algebraic expressions and solve simple algebraic equations using signed numbers. Emphasis should be placed on applications throughout the unit.

Broad Learning Outcomes

Upon completion of Unit 3 students will be able to:
3.1    Determine the absolute value of a number.
3.2    Demonstrate proper use of exponents.
3.3    Find the principal square root of a perfect square.
3.4    Simplify expressions involving signed numbers.
3.5    Write numbers in scientific notation.
3.6    Simplify algebraic expressions.
3.7    Evaluate a formula or algebraic expression for given values of the variables.
3.8    Solve one-step equations using the addition and multiplication properties.
3.9    Solve problems using proportions.
3.10    Solve application problems including finding perimeter, area and volume.

Specific Objectives

Upon completion of Unit 3 students will be able to:
3.1    Determine the absolute value of a number.
3.2    Demonstrate proper use of exponents.

3.2.1    Express repeated factors using exponents.
3.2.2    Evaluate powers of numbers.

3.3    Find the principal square root of a perfect square.

3.4    Simplify expressions involving signed numbers.

3.4.1    Add and subtract signed numbers.
3.4.2    Multiply and divide signed numbers.
3.4.3    Use the proper order of operations to simplify expressions containing multiple operations on signed numbers, including powers and square roots.

3.5    Write numbers in scientific notation.

3.5.1    Convert between integer powers of 10 and equivalent decimal numbers.
3.5.2    Convert numbers between scientific notation and standard notation.

3.6    Simplify algebraic expressions.

3.6.1    Identify the properties of real numbers (Commutative, Associative, Distributive, Identity and Inverse Properties).
3.6.2    Simplify an algebraic expression by combining like terms.
3.6.3    Simplify algebraic expressions using the order of operations.

3.7    Evaluate a formula or algebraic expression for given values of the variables.

3.8    Solve one-step equations using the addition and multiplication properties.

3.8.1    Solve one-step equations using rational numbers.
3.8.2    Solve one-step equations using percents.

3.9    Solve problems using proportions.

3.10    Solve application problems including finding perimeter, area and volume.