Piecewise Functions – Guided Notes & Homework
- Grades
- High School
- Pages
- 24
- File type
- Answer key
- Included
- Subject
- Math, Algebra
- Topic
- Piecewise functions, Step functions
- Answer key
- Included
- Standards
- HSF-IF.C.7
Product description
From the author
This is a Piecewise Functions Guided Notes + Homework Set.
Students will learn more about this math skill as they walk through guided notes allowing them to learn and apply as they go along.
A homework assignment is included to further student understanding of this algebra skill.
Answer key included.
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In the classroom
Teaching tips & learning objectives
Learning objectives
Evaluate a piecewise function by selecting the rule that includes the input
Graph each function piece over its stated domain
Apply piecewise models to overtime earnings and stepped prices
Teaching tips
Use the starred boundary-value questions to discuss which interval includes an input.
Follow the notes’ separate-table method for graphing each piece.
Compare the overtime-pay example with the yogurt price-by-weight example.
Skills covered
Evaluating piecewise functions — students compute values like f(2), g(7), and g(-28) by selecting the piece whose condition holds.
Graphing piecewise functions — domains are split with invisible walls and each piece is tabled and plotted separately.
Modeling with functions — an overtime-earnings comparison and a frozen-yogurt pricing scenario turn piecewise rules into real answers.
Good to know
Questions teachers ask about this resource
How do the notes organize graphing?
They divide the domain at its boundaries and provide separate tables for the pieces before students plot the graph.
Which applications are included?
Examples include overtime earnings, bulk T-shirt pricing and frozen-yogurt pricing by weight.
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Curriculum
Standards, concepts & topics
Standards
Standards
- HSF-IF.C.7
Core concepts
Core concepts
Piecewise functions
Step functions
Function evaluation
Graphing
Function notation
Topics
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