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Functions-Classifying and Mapping Relations Workbook

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CAS Take on Maths
248 Followers
Grade Levels
9th - 12th, Homeschool
Standards
Formats Included
  • Zip
Pages
Workkbook ( Scaffolded notes, worksheets, answers & mini notes) + Activity
$8.10
$8.10
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CAS Take on Maths
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Description

CLASSIFYING AND MAPPING RELATIONS WORKBOOK

Scaffolded notes + worksheets + activity + solutions + mini folded notes to

learn and practise:

  • Understand the types of relations
  • Identify types of relations in a given domain and range in forms such as mapping diagrams, sets of ordered pairs and a table of values.
  • Classify a variety of types of graphs as a specific type of relation and as a function or not a function.
  • Understand the formal definition of a function as a set of ordered pairs (x, y) of real numbers such that each x-value is exactly connected to one y-value.

THIS RESOURCE INCLUDES: (7 files in one zip)

• File 1: Resources Description and other info

• File 2: Teacher Notes for transparencies and whiteboards

• File 3: Workbook A (Fill in the blank notes + Worksheets)

• File 4: Workbook B (Filled notes + Worksheets)

• File 5: Solutions

• File 6: Relations Map activity

• File 7: Student mini folded notes

There are two styles of the workbook.

- Style 1: Cover, fill in the blank notes and worksheets

- Style 2: Cover, filled notes and worksheets

Total pages in each workbook: 14

Easy classroom preparation:

For teacher notes: print the notes on transparencies or display them on a whiteboard.

• For the workbook: print and staple all pages together to make a book.

• For the activity: print the activity. Students need scissors and glue.

• For the mini folded notes: print, fold and glue the pages to make a mini notebook.

Grades: 9th & 12th

Learning Outcomes:

  • Define a relation as any set of ordered pairs (x, y) of real numbers.
  • Define a function and a relation as mappings between sets, and as a rule or a formula that defines one variable quantity in terms of another.
  • Identify types of relations in a given domain and range in forms such as mapping diagrams, sets of ordered pairs and a table of values.
  • Understand the formal definition of a function as a set of ordered pairs (x, y) of real numbers such that each x-value is exactly connected to one y-value.
  • Write a possible equation for relations.
  • Classify a variety of types of graphs as a specific type of relation and as a function or not a function.

Also comply with Australian Curriculum:

Use function notation, domain and range, independent and dependent variables (ACMMM023)

Understand the concept of the graph of a function (ACMMM024)

Other products about functions:


My other resources:

Number Skills

Fractions

Decimals

Percentages

Pythagoras' Theorem

Geometry

Financial mathematics

Consumer Maths

Algebra Resources

Numbers and Exponents

Polynomials Topic

Functions Topic

Indices Topic

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Total Pages
Workkbook ( Scaffolded notes, worksheets, answers & mini notes) + Activity
Answer Key
Included
Teaching Duration
N/A
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Standards

to see state-specific standards (only available in the US).
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (𝘹, 𝘺) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If 𝘧 is a function and 𝘹 is an element of its domain, then 𝘧(𝘹) denotes the output of 𝘧 corresponding to the input 𝘹. The graph of 𝘧 is the graph of the equation 𝘺 = 𝘧(𝘹).
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

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