Unit 9: Having Fun with Functions

• Students will learn and use the terminology and symbolism associated with functions.

Unit Focus

Reading Process

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Writing Process Strand

Prewriting

The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn diagram, web, story map, plot pyramid) to develop a personal organizational style.

Algebra Body of Knowledge

Real and Complex Number Systems

• Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.

Relations and Functions

• Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions.
• Determine the domain and range of a relation.
• Solve real-world problems involving relations and functions.

Linear Equations and Inequalities

Write an equation of a line that models a data set and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.

Quadratic Equations

• Graph quadratic equations with and without graphing technology.
• Use graphing technology to find approximate solutions of quadratic equations.

Mathematical Reasoning and Problem Solving

• Decide whether a given statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities, rational or radical expressions, or logarithmic or exponential functions).

Lesson 1: Functions

We will explore a number of relations through the use of tables and graphs. We will create tables and graphs for specific problems. We will also link equations to functions when given a function.

Reading Process

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Writing Process Strand

Prewriting

• The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn diagram, web, story map, plot pyramid) to develop a personal organizational style.

Algebra Body of Knowledge

Relations and Functions

• Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions.
• Determine the domain and range of a relation.

Lesson 2: The Function of X

Reading Process

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Algebra Body of Knowledge

Relations and Functions

• Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions.

Lesson 3: Graphing Functions

Reading Process

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Algebra Body of Knowledge

Linear Equations and Inequalities

• Write an equation of a line that models a data set and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.

Mathematical Reasoning and Problem Solving

• Decide whether a given statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities, rational or radical expressions, or logarithmic or exponential functions).

Lesson 4: Graphing Quadratics

Reading Process Strand

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Algebra Body of Knowledge

Real and Complex Number Systems

• Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.

Quadratic Equations

• Graph quadratic equations with and without graphing technology.
• Use graphing technology to find approximate solutions of quadratic equations.