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
Interval Notation Practice (Functions)
These activities requires NO PREP, student and teacher documents included.
It is a riddle worksheet where students have an answer bank and they use that to solve a (slightly cheesy) joke. Kids like this activities because they make the math meaningful, and FUN, and teachers like them because the answer bank gives students a tool to self-assess.
Because of answer banks for students and answer sheets for adults, this activity is great for homeschool and special ed students too!
This worksheet
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.2
1.2 - Function Notation f(x) (MCR3U Grade 11 Functions / Pre-Calculus)
Ontario Curriculum Expectations:A1.2 - represent linear and quadratic functions using function notation, given their equations, tables of values, or graphs, and substitute into and evaluate functions.
11th
Algebra, Calculus, PreCalculus
Function Notation - Lesson and Practice
This lesson on function notation includes a powerpoint for instruction, a worksheet on function notation (with included answer key), and a bonus worksheet on domain and range of quadratic functions.
11th - 12th
Graphing, PreCalculus
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
Composition of Inverse Trig Functions (including Arc notation) with Answer Key
This 16-question assignment tests students' knowledge of trig functions and inverse trig functions by asking them to compose two functions. This assignment requires students to understand the six trig functions, the unit circle, and the composition of functions. Some questions can be completed entirely in a single quadrant, and others require answers from two different quadrants. None of these problems require a calculator. This assignment utilizes both negative one and arc notation. If yo
9th - 12th, Higher Education
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
+1
Function Notation and Function Operations Graphic Organizer
This is a graphic organizer explaining the different function operations. No examples included, just definitions and notations.
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-APR.A.1
, HSF-IF.A.2
Precalculus Unit 1 - Functions & Notations
Unit 1 - Functions & NotationsUnit notes for students: 26 pages totalSection 1.1 - FunctionsSection 1.2 - Function ValuesSection 1.3 - Function CharacteristicsSection 1.4 - Piecewise FunctionsSection 1.5 - Function TransformationsStudent ActivitiesHighlighting Activity for Function Characteristics (Section 1.3)Student Exploration Activity for Transformations (Section 1.5)Creating a foldable for Function Transformations (Section 1.5)Teacher Handouts & Instruction PagesTeacher Answer KeysAnswer ke
9th - 12th
Algebra 2, Math, 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
Functions 3 - Function Notation worksheet and lesson
This worksheet packet will help students understand and use function notation to evaluate functions at different values. It also shows how to write a composition of functions. Click here to SAVE by buying the Functions Bundle which includes a FREE review and test.Click here to view the accompanying instructional video for this work packet. This helpful packet has five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led examples to explain the proble
10th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
Also included in: Functions worksheet Bundle with FREE review and test videos not included
Domain, Range, Function notation
A lesson for algebra going over domain and range of ordered pairs, and finding domain and range on graphs using interval notation. Goes over how to tell if a relation is a function or not by looking at ordered pairs, an equation or a graph. Also goes over function notation.
9th - 12th
Algebra, Algebra 2, PreCalculus
Function Notation - Differentiated - Leveled Practice
Differentiate your Function Notation lesson as easy as 1, 2, 3!Do you see a WIDE range of abilities in your math classroom? Are you noticing the gap among your students widening from the impact of the pandemic and remote/hybrid learning? Are you looking to push your teaching to the next level but don't quite have the time to plan for a differentiated lesson? Easily differentiate your lesson and support your students where they are at with this leveled practice that asks them to evaluate using
10th - 12th
Algebra 2, Math, PreCalculus
Composition of Inverse Trig Functions (including Arc notation)
This 16-question assignment tests students' knowledge of trig functions and inverse trig functions by asking them to compose two functions. This assignment requires students to understand the six trig functions, the unit circle, and the composition of functions. Some questions can be completed entirely in a single quadrant, and others require answers from two different quadrants. None of these problems require a calculator. This assignment utilizes both negative one and arc notation. If yo
9th - 12th, Higher Education
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
+1
Characteristics of Linear Functions Notes and Practice
Are you looking for engaging lessons on the characteristics of linear functions? These lessons are ready to use and include everything you need to teach your students about the characteristics of linear functions. In these lessons your students will learn how to identify the following characteristics: Discrete vs ContinuousDomain and Rangex and y interceptsEnd BehaviorIncreasing and DecreasingStudents will also learn about interval notation. These lessons include:✨ 6 pages of notes ✨ 2 pages o
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
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
Different Types of Functions | Name That Function | Function Characteristics
Different Types of Functions | Name That Function | Function Characteristics Looking for a way to organize your functions? These function templates are perfect for students to keep track of each function they learn about. Different Types of Functions: Linear, Absolute Value, Quadratic, Cubic, Square Root, Power, and Exponential Students can analyze each function by creating a graph and table. Students can identify x- and y-intercepts, minimum and maximum, domain and range (interval and inequali
8th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
8.F.A.1
, 8.F.A.2
, 8.F.A.3
+6
Parent Functions Lesson Unit 1 Precalculus
⭐⭐ This Precalculus Honors lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Parent Functions. Your students will graph and analyze 18 functions for characteristics such as domain, range, intercepts, discontinuity, asymptotes, use limit notation for end-behavior. ⭐⭐ ✅ Lesson 1.5 Piecewise Functions is a two-day lesson with an emphasis on the learning objectives: ★ Recognize 20 basic pare
10th - 12th, Higher Education
Math, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7a
, HSF-IF.C.7b
+3
Also included in: Functions and Graphs MEGA Bundle Precalculus (Unit 1)
Functions, Domain and Range Lesson - Algebra 2 Curriculum
Notes and assignment over a review of relations, functions, domain and range for Algebra 2. In this lesson, students will determine if a relation is a function given a graph, table of values, mapping diagram or list. Then students will determine domain and range of the relation. TUTORIAL VIDEO included (no prep to you!) and can be found on my YouTube Channel: Mandy’s Math World - the video is on the Foundations for Functions Unit Playlist! This is GREAT for students who are absent or who nee
9th - 12th
Algebra, Algebra 2, PreCalculus
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
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