Function Notation
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Function Notation Card Match
In this activity students use their knowledge of function notation to evaluate functions and determine solutions. Students cut out all of the cards and then match each function card with its solution card. This card matching activity can be catered to the specific needs of your classroom! You could use as few as 20 cards (match 10 functions to their 10 solution cards) or all 40 cards (match 20 functions to their solutions). You can customize the answer key to your needs by highlighting only th
8th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.2
Parent Functions Interval Notation Foldable Notes & Reference
This Parent Function foldable is given in INTERVAL notation.
It gives six basic parent functions: Linear, Quadratic, Absolute Value, Cubic, Square Root and Rational.
There are two basic options. The first which gives only the equation, the graph and table of values.
The second includes each function represented with the equation, graph, table of values, domain, range, intercepts, vertex, minimum value, maximum value, odd, even, and symmetry.
8th - 12th
Algebra, Algebra 2, PreCalculus
Algebra 2 Evaluating Composite Function Notation Guided Notes Lesson Practice
Are you a High School Math Teacher looking for a set of Guided Notes for Function Notation that include: hands-on Math Lab exploration, interactive discussion prompts and exit ticket? In this resource students will explore multiple representations (tables, equations, and graphs) while staying challenged — no watered-down fluff here. What’s Included: Math Lab Exploration → hands-on opener that gets students modeling functions in real-life contexts. Direct Instruction Guided Notes → scaffolde
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.2
, HSF-BF.A.1a
, HSF-BF.A.1b
+1
Function Notation Foldable - INB
This is a great foldable to introduce/review function notation and how it can be seen. Function notation is shown using a table, graph, and an equation and asks for inputs and outputs. There also are a couple of examples that involve composition of functions. Each section has a portion for notes for students to write steps or other information that they feel is important to remember. Great for INB with open fonts for students to color in and make their own. Included is a key so you know wh
10th - 12th
Algebra, Algebra 2, PreCalculus
Also included in: Complete (and growing) Algebra Notes and Foldables for INB
Evaluating Functions, Function Notation, Multiple Representations Matching
This activity gives the students four different functions (each a different representation). The students will then match a function value (using function notation) with the answer. The four functions could be displayed for the class and the matching cards given to individual students, pairs, or small groups. (This could be a pre-assessment if given to a small group to see what they can figure out.)
9th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
Function Notation and Composition of Functions Foldable - INB
This is a great foldable to introduce/review function notation and how it expands to composition of functions. Function notation is shown using a table, graph, and an equation and asks for inputs and outputs. Composition of functions is introduced and uses both f(g(x)) and f o g notations. It does not extend to proving inverse. I use this set of notes as a precursor to using composition of functions to prove inverse. Great for INB with open fonts for students to color in and make their own.
9th - 12th
Algebra, Algebra 2, PreCalculus
Also included in: Complete (and growing) Algebra Notes and Foldables for INB
Parent Functions Set Builder Notation Foldable Notes & Reference
This Parent Function foldable is given in SET BUILDER notation.
It gives six basic parent functions: Linear, Quadratic, Absolute Value, Cubic, Square Root and Rational.
There are two basic options. The first which gives only the equation, the graph and table of values.
The second includes each function represented with the equation, graph, table of values, domain, range, intercepts, vertex, minimum value, maximum value, odd, even, and symmetry.
8th - 12th, Adult Education
Algebra, Algebra 2, PreCalculus
Composition of Functions FUN Notes Doodle Pages plus Practice
These FUN notes on Operations and Composition of Functions with Practice will be a hit with your students and can be used as homework, assessment, or enrichment. This engaging format will help your students to succeed while learning and practicing their skills with Operations and Composition of Functions. Included are notes and practice problems using both common notations, parentheses and ○. Students practice a variety of problems using up to four functions. When done, they then embellish th
8th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-SSE.B.3
, HSA-APR.A.1
, HSF-IF.C.9
Sets of Numbers Foldable - Set-Builder and Interval Notation Notes and Practice
This foldable is intended to introduce students to or reinforce their understanding of set-builder and interval notation for sets of numbers, whether they use them as solutions to equations or inequalities or for writing the domain and range of a function. There are examples of each type as well as an explanation of what the notation means. This resource comes with sample interactive notebook pages to help you best use the foldable, but it can also be used in a standard notebook or binder. Th
9th - 12th
Algebra 2, Calculus, PreCalculus
Evaluating Inverse Trig Functions Foldable Organizer
This Evaluating Inverse Trig Functions Foldable Organizer will help your students grasp the concepts and also get practice with Composite Inverse Trig Functions. Your students fill-in the properties and then practice 16 well chosen representative problems. Also included are 6 completed examples for reference. Problems include straightforward problems such as sin_inverse(1/2) and more complex problems like sin(sin_inverse of π/2) or arcsin(sin(3π)). Both notations, sin^-1 and arcsin for i
10th - 12th
Math, Other (Math), PreCalculus
Also included in: AP PreCalculus Unit 3 Trig Functions Activity Bundle
Algebra 2 Domain and Range Interval Notation Guided Notes Lesson Practice
Are you a High School Math Teacher looking for a set of Guided Notes for Domain and Range that include: hands-on Math Lab exploration, interactive discussion prompts and exit ticket? In this resource students will explore multiple representations (tables, equations, and graphs) while staying challenged — no watered-down fluff here. What’s Included: Math Lab Exploration → hands-on opener that gets students modeling functions in real-life contexts. Direct Instruction Guided Notes → scaffolded
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.4
+1
Domain and Range Foldable - Interval Notation
This hands-on activity contains 35 different problems targeting a variety of ways domain and range can be represented using INTERVAL Notation. It includes: 1. Definitions of Domain and Range 2. Finding domain and Range given a Table, Mapping, Equation, points on a graph, ordered pairs, 3. Finding domain and Range given a vast variety of functions: straight lines, parabolas, real-life graphs and charts. A special feature includes the teacher answer key with special notes emphasizing the
8th - 12th
Algebra, Algebra 2, PreCalculus
Domain and Range Foldable - Set Builder Notation
This hands-on activity contains 35 different problems targeting a variety of ways domain and range can be represented using SET BUILDER Notation.
It includes:
1. Definitions of Domain and Range
2. Finding domain and Range given a Table, Mapping, Equation, points on a graph, ordered pairs,
3. Finding domain and Range given a vast variety of functions: straight lines, parabolas, real-life graphs and charts.
A special feature includes the teacher answer key with special notes emphasizing
8th - 12th
Algebra, Algebra 2, PreCalculus
DIGITAL TASK CARDS - All about FUNctions
These 8 virtual task cards are perfect for schools and students doing online learning! Students are given a function and its graph and asked to find the zeros, domain, range, symmetry, and whether it is even, odd, or neither. The six questions on the final slide correspond to the answers on each task card. After answering the six questions, students will total their answer to get "13". If a student doesn't find the answer, they must go back and fix their mistakes. Can be used in pairs, groups, o
9th - 12th
Algebra 2, Math, PreCalculus
Exponential Growth Transformations Notes with Interval Notation
Exponential Growth Transformations Notes with Interval Notation show the step-by-step process of the basic transformations of exponential growth functions. * f(x)=2^(x ) to g(x) = a(bx –h) + k. * Vertical Compression * Vertical Stretch * Horizontal Shifts to right and left * Vertical Shifts up and down * Reflection over x-axisTARGETS • Special education requirements for written notes. • at-risk students.• the need for differentiated instruction. • the need for int
8th - 12th, Adult Education
Algebra, Algebra 2, PreCalculus
Function Unit - Algebra 2/Precalc
10 main ideas - with definitions, examples, activities #1 - definition of a function, function notation, input/output #2 - finding domain graphically (uses desmos activity you will need to activate, search for domain/range @ teacher.desmos.com) #3 - finding domain algebraically - cut and paste, matching activity to develop understanding of restricted vs. unrestricted domain; 2nd matching activity where students find domain or function, write domain in interval notation and match to graph #4 - ty
10th - 12th
Algebra 2, PreCalculus
Algebra 2 Functions Relations Domain Transformations Key Features Guided Notes
Are you a High School Math Teacher looking for a set of Guided Notes to teach Functions? This bundle covers: function notation, domain, range, parent functions, transformations, inverse functions and more! This Lessons includes: practice, exit ticket, hands-on Math Lab exploration, and interactive discussion prompts. All while staying challenged — no watered-down or cheap tricks that students will forget in a week. Lesson 1: What is a Function?Lesson 2: Function NotationLesson 3: Domain & R
9th - 11th
Algebra 2, Math Test Prep, PreCalculus
Foldable Notes: Transformations of the Absolute Value Parent Function
Included in this download is a foldable for notes and a sheet of practice problems over absolute value parent function transformations in function notation. Transformations are grouped by the direction - vertical transformations are grouped together, and horizontal transformations are grouped together. Students work through each letter individually, then the practice sheet has multiple changes at one time. The practice sheet also includes graphs! This would be perfect for an interactive noteboo
9th - 12th
Algebra, Algebra 2, PreCalculus
Also included in: Absolute Value Transformations Bundle: Notes, Task Cards & Posters
Notes - Function Transformations (Algebra 2)
Handout for guided notes seeing the effects for transformations in a table and graphically. Also practice on identifying transformations with function notation. I use this as a refresher right before piecewise functions.
9th - 12th
Algebra 2, Math, PreCalculus
How to graph Piecewise-Defined Functions using TI83/84 Worksheet
Help your Algebra and Pre-Calculus students master graphing piecewise-defined functions on a TI-83 or TI-84 calculator with this clear, student-friendly How to Graph Piecewise-Defined Functions Using TI-83/84 Worksheet. This resource provides guided practice, review, and step-by-step calculator support—perfect for introducing calculator notation, reinforcing function structure, or preparing students for assessments where technology is required. Why This ResourceMany students struggle with e
9th - 12th, Higher Education
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.C.7b
Card Sort - Square Root and Quadratic Inverses from Multiple Representations
Included in this document are 18 cards containing problems and answers. Students must determine the inverse of either square root or quadratic functions from multiple representations including graphs, equations and tables. Then students must identify key features about the inverse including intercepts, maximums and minimums, domain (including restrictions) or range in interval notation, or find specific function values. The use of graphing technology may be required for some problems. This activ
10th - 11th
Algebra 2, Math, PreCalculus
How to Write Piecewise-Defined Functions from Graphs ~ Note page | Worksheet
Help your Algebra and Pre-Calculus students build confidence writing piecewise-defined functions from graphs with this clear, structured notes page and worksheet set. Students learn step-by-step how to interpret intervals, identify function rules, and write accurate piecewise functions, making this resource perfect for practice, introduction, or skill reinforcement. Why This ResourceStudents often struggle to translate graphs into correct piecewise-defined functions, especially when determ
9th - 12th, Higher Education
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.A.2
, HSF-IF.C.7b
, HSF-BF.A.1
Composition of Functions: Cut and Paste Algebra Activity, Three Levels
Cut, match, and paste composite functions and their equations.
Three sets of progressive difficulty include 22 equations in all. Activity is easy to differentiate and appropriate for all levels, including honor students and pre-AP.
Also includes whole class follow-up with step-by-step solutions for every function.
Use with small groups or interactive notebooks.
Common Core: HSF.BF.A.1.C
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Composition of Functions, Notes and Practice
Composition of Functions: Notes and
10th - 12th, Higher Education
Algebra 2, PreCalculus
CCSS
HSF-BF.A.1c
Algebra 2 Piecewise Functions Interactive Notebook Foldable and Binder Notes
This comprehensive resource is designed to fully equip your Algebra 2 or Pre-Calculus students to master piecewise-defined functions. This versatile bundle includes guided notes suitable for an interactive notebook (INB) and a practice worksheet. It covers all necessary skills from evaluation to graphing and interpretation. What's Included? This bundle contains a total of 10 pages, including detailed answer keys, and features: Guided Notes / Interactive Notebook Pages ( 2 pages):Clear defini
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.A.2
, HSF-IF.B.5
, HSF-IF.C.7
+1
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