Description
Which relations are functions? Lesson, activity, worksheet, notes & keys. Definitions of relations vs functions. Word problem, Mapping Diagram, graphs, Vertical Line Test, table of values, ordered pairs, and input, output, domain, range definitions. Writing a function equation with correct notation, i.e. introducing f(x). Practicing whether a relation is a function of x, or a function of any other variable, like h(t). Evaluating using substitutions such as f(3) and writing as an ordered pair (3, f(3)). Making predictions with real-world word problem by substitutions into function equation.
This package is a total of 37 pages!
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You might also be interested in:
ā« Intro to Function Notation - Real World Scenarios
Speaking of Functions ...
ā« Check out my Piecewise-Function Project / Activity!
Related Blogs:
ā« A Guide For Teachers: Teaching Functions & Relations
ā« Function Notation Examples: A Guide For Teachers To Teach Evaluating a Function
ā« Horizontal Line Test and 1-1 Functions
Related YouTube Videos:
ā« Vertical & Horizontal Line Test - Is it One-to-One?
ā« Evaluate The Function: A Real World Scenario
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LESSON TOPICS:
ā¤ Students finally make the important connection that Algebra 2 class is the study of functions, and there are different types of functions. Today, students start with linear functions.
ā¤ The lesson begins with a hot-air balloon word problem, where students complete a Table of Values, write a relation as the set of ordered pairs, create a Mapping Diagram, graph the linear equation while determining if it is a function using the Vertical Line test, and figure out the function equation using correct notation f(x).
ā¤ Students use the hot-air-balloon equation to make predictions.
ā¤ Given a function equation, students figure out what variable is a function of what? For example, h(t) is described as h being a function of t.
ā¤ Students practice evaluating, like h(3), using function equations as well as using the information for writing ordered pairs, like (3, h(3)).
ā¤ Students are given other examples:
- Using a vending machine [where the purpose is to give students a visual aid in representing a function (input and output)] Mapping Diagram and use to write the relation... such as $2.00 --> Snickers would written as ($2, Snickers) as an ordered pair.
- Students determine the following are functions: Sets of ordered pairs, Mapping Diagrams, and graphs using the Vertical Line Test.
ā¤ Activity- Students cut relations and copy/paste them with tape or glue on the Functions or Not Functions side.
INCLUDED:
ā¤ Step-by-step answer keys and scaffolded notes to EVERYTHING
ā¤ Full color-coded lesson - 24 Slides [PDF and SmartBoard Versions]
ā¤ Activity- Students cut relations and copy/paste them with tape or glue on the Functions or Not Functions side.
ā¤ Homework worksheet
Are Relations Functions? Lesson, Worksheet, Activity, Word Problem, Notes & Keys
Highlights
Description
Which relations are functions? Lesson, activity, worksheet, notes & keys. Definitions of relations vs functions. Word problem, Mapping Diagram, graphs, Vertical Line Test, table of values, ordered pairs, and input, output, domain, range definitions. Writing a function equation with correct notation, i.e. introducing f(x). Practicing whether a relation is a function of x, or a function of any other variable, like h(t). Evaluating using substitutions such as f(3) and writing as an ordered pair (3, f(3)). Making predictions with real-world word problem by substitutions into function equation.
This package is a total of 37 pages!
----------------------------------
You might also be interested in:
ā« Intro to Function Notation - Real World Scenarios
Speaking of Functions ...
ā« Check out my Piecewise-Function Project / Activity!
Related Blogs:
ā« A Guide For Teachers: Teaching Functions & Relations
ā« Function Notation Examples: A Guide For Teachers To Teach Evaluating a Function
ā« Horizontal Line Test and 1-1 Functions
Related YouTube Videos:
ā« Vertical & Horizontal Line Test - Is it One-to-One?
ā« Evaluate The Function: A Real World Scenario
----------------------------------
LESSON TOPICS:
ā¤ Students finally make the important connection that Algebra 2 class is the study of functions, and there are different types of functions. Today, students start with linear functions.
ā¤ The lesson begins with a hot-air balloon word problem, where students complete a Table of Values, write a relation as the set of ordered pairs, create a Mapping Diagram, graph the linear equation while determining if it is a function using the Vertical Line test, and figure out the function equation using correct notation f(x).
ā¤ Students use the hot-air-balloon equation to make predictions.
ā¤ Given a function equation, students figure out what variable is a function of what? For example, h(t) is described as h being a function of t.
ā¤ Students practice evaluating, like h(3), using function equations as well as using the information for writing ordered pairs, like (3, h(3)).
ā¤ Students are given other examples:
- Using a vending machine [where the purpose is to give students a visual aid in representing a function (input and output)] Mapping Diagram and use to write the relation... such as $2.00 --> Snickers would written as ($2, Snickers) as an ordered pair.
- Students determine the following are functions: Sets of ordered pairs, Mapping Diagrams, and graphs using the Vertical Line Test.
ā¤ Activity- Students cut relations and copy/paste them with tape or glue on the Functions or Not Functions side.
INCLUDED:
ā¤ Step-by-step answer keys and scaffolded notes to EVERYTHING
ā¤ Full color-coded lesson - 24 Slides [PDF and SmartBoard Versions]
ā¤ Activity- Students cut relations and copy/paste them with tape or glue on the Functions or Not Functions side.
ā¤ Homework worksheet
