Greatest Integer Function
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Graphing & Evaluating Greatest Integer Function | Practice Worksheets |Piecewise
Greatest Integer Function Practice Sheets for Graphing and Evaluating Includes 5 worksheet plus keys - 1 - Evaluating [[x]] - 1 - Evaluating and Graphing [[x]] - 2 - Graphing [[x]] - 1 - Graphing Challenging Problems [[2x+5]]
8th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.C.7b
Greatest Integer Function Notes and Practice
This is a double-sided worksheet over the greatest integer function with notes and examples on one side and practice on the other. The notes begin by defining the greatest integer function and working a few examples using the new notation. Next, a table of values is made and the greatest integer function is graphed. Also, domain and range are determined and can be found before or after the function is graphed (teacher discretion). Finally, 3 examples are graphed using one or two transformations.
9th - 12th
Applied Math, Other (Math), PreCalculus
Also included in: Parent Functions Unit Bundle
Graphing Parent Functions | Linear | Quadratic | Exponential | Absolute Value
These parent function graphic organizers help students input function table data, graph functions, and analyze different parts of each graph. They are a perfect and easy way for students to identify and learn about each parent function – including linear, quadratic, exponential, absolute value, and more! These clear and concise graphic organizers can be used as a print and go packet or add to interactive notebooks. 18 Parent Functions - Graphic Organizers:• Linear • Absolute Value • Quadratic •
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.4
+6
Parent Functions Graphic Organizers Digital and Print
These Parent Function Digital Organizers are designed for your students to learn the Key properties and graphs of Parent functions and to organize them. The digital format is Paperless and NO PREP for you! The print version is print and go with two to a page. The 16 function families included are identity ( linear), constant, absolute value, squaring function or quadratic, cubic, square root, cube root, exponential, natural exponential logarithmic, natural logarithmic, reciprocal, greatest int
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-REI.D.11
, HSF-IF.A.1
, HSF-IF.B.4
+8
Also included in: Algebra 2 Digital MEGA Bundle plus Printables
Parent Functions Poster Set | Algebra 2, Precalculus, AP Calculus Decor Chart
Transform your math classroom with these bright and engaging Parent Functions Posters—perfect for Algebra 2, Pre-Calculus, or AP Calculus! This set includes 14 high-quality posters highlighting the most common parent functions your students need to recognize and understand. Each poster features a clear title and formula, making it easy for students to visualize and compare function families. Use these as anchor charts, bulletin board displays, or reference walls to support discussions about d
8th - 12th
Algebra 2, Calculus, PreCalculus
Parent Functions: Equations, Graphs, Tables, Domain and Range Worksheet
Students will represent 12 parent functions and 6 trigonometric function with an equation, a graph, and a table of values, and they will state each function's domain and range. The parent functions include constant, linear, absolute value, greatest integer, quadratic, cubic, square root, cube root, reciprocal, reciprocal squared, exponential, and logarithmic functions. You can leave out the six trigonometric functions if your students have not studied trigonometry. Being able to quickly identif
8th - 11th
Algebra 2, PreCalculus
Also included in: Parent Functions Bundle
Graphing Equations with Anchor Points with Function Transformations HSF.BF.B.3
Transformations of functions with graphs and equations using the vertex or anchor points
An example with the quadratic function is included.
These notes work great for an INB.
Multiple versions are included for differentiation (complete, partial and unfilled notes).
For Algebra 1 print page 2, 3, 4, 5, 6, or 7
(includes Absolute Value, Quadratic and Square Root)
For Algebra 2 print page 8, 9, 10, 11, 12, or 13
(adds Cube Root and Cubic Functions)
For Pre-Calculus print page 14, 15, 16, 17,
7th - 12th, Higher Education
Algebra, Graphing, Math
Parent Functions Digital FUN Notes Doodle Pages
Your students will organize all the Parent Functions and explore their Properties and Graphs with this fun themed digital activity. They can even embellish online with digital stickers. The 15 function families included are identity, constant, absolute value, squaring function, cubic, square root, cube root, exponential, natural exponential logarithmic, natural logarithmic, reciprocal, greatest integer, sine, cosine, and tangent. What if you don't teach all of these? You can delete the s
7th - 10th
Algebra, Algebra 2, PreCalculus
CCSS
8.F.A.3
, HSF-IF.B.4
, HSF-IF.B.5
+6
Domain & Range of Parent Functions for Algebra 2
Finding the domain of functions that are NOT all real numbers such as the square root function or the reciprocal functions is tricky for students. This study on domain helps bridge the gap and isolate how to find the domain in these tricky situations which will help prepare your students for Pre-Calculus!! This is a double-sided document focusing on the domain of 10 parent functions. The 10 parent functions are: linearquadraticsquare rootabsolute valuecubiccube rootexponentiallogarithmicrecipr
9th - 12th
Algebra 2, Math, PreCalculus
Also included in: Parent Functions Unit Bundle
Parent Functions Folding Graphic Organizer Algebra 2
Covers 12 main parent functions and their specific information (domain, range, etc.. Fill in the rest of the folding graphic organizers as scaffolded notes on the 12 main parent functions. I have used this in Algebra 2, Precalculus and again in AP Calculus. My students use this constantly until they have memorized the twelve basic parent functions and their transformations. Also comes with an editable PowerPoint to make this work for your particular students. Comes with a blank graphic organi
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-BF.B.3
Parent Function Transformations Graphic Organizer for Calculus
Are your Calculus, precalculus or algebra 2 students struggling with parent functions and what happens to those functions when different transformations occur or what is important about those parent graphs? Students will define and analyze graphs by using domain and range, symmetry and more! Includes black and white, color, answer key, Google Slide and editable PowerPoint for twelve parent graphs and discusses domain, range, even/odd, important qualities, includes graph paper clips for images
9th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-BF.B.3
Essential Functions - Printable
The first page is a compilation of the graphs of 15 essential functions (linear, quadratic, cubic, constant, square root, cube root, exponential (e), logarithmic (ln), absolute value, sine, cosine, tangent, logistic, reciprocal, and greatest integer) without the equations or names. The next 4 pages feature each of these 15 essential functions in a card that includes the name of the function, its graph, and the equation of the parent function (side note: technically there is no single "parent" fu
10th - 12th
Algebra 2, Math, PreCalculus
Parent Functions Flipbook
Flipbook of Parent Functions to use throughout the school year! Functions included: Linear Quadratic Cubic Rational Trigonometric Inverse Trigonometric Logarithmic Exponential Square Root Absolute Value Greatest Integer
9th - 12th
Algebra 2, Math, PreCalculus
Guided Notes - Lesson 1.6, part 1 - Special Functions
Objective: I can write, graph, and interpret piecewise-defined functions, including step functions and absolute value functions. - Warm up finding greatest integers and absolute values - Vocab: piecewise-defined function - How to make a piecewise-defined function, notation, and what the graph can look like - Example graphing and analyzing key features (domain, range, intercepts, increasing/decreasing, positive/negative) - Application example
9th - 12th
Algebra, Algebra 2, Math
CCSS
HSF-IF.B.4
, HSF-IF.C.7b
, MP4
+1
Also included in: Algebra 2 - Unit 1 - Relations & Functions
Twelve Basic Functions Foldable 2
A fun foldable to teach or review 12 basic functions. The following functions are included: Identity, Quadratic, Cubic, Absolute Value, Square Root Function, Rational, Exponential, Logarithmic, Greatest Integer, Sine, Cosine, and Tangent.
8th - 12th
Algebra 2, Graphing, PreCalculus
Also included in: Functions Bundle
Parent Functions & Graphs Lesson | Warm-Up | Guided Notes | Homework
Build student engagement and participation as you teach functions. This Parent Functions and Graphs Lesson covers graphs of linear, absolute value, quadratic, and greatest integer functions by analyzing continuity, intercepts, local minima and maxima, intervals of increase and decrease, end behavior, asymptotes, domain and range in a creative, comprehensive, and clear way. Scaffolding is embedded right into the guided notes that students complete while you teach. Students remain motivated to pr
9th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.4
+6
Guided Notes - Lesson 1.6, part 2 - Special Functions
Objective: I can write, graph, and interpret piecewise-defined functions, including step functions and absolute value functions. - Warm up graphing a piecewise-defined function, and finding greatest integers - Vocab: step function, greatest integer function - What is a step function, graph, domain and range - Application example - What is the greatest integer function, notation, and graph - Example
9th - 12th
Algebra, Algebra 2, Math
CCSS
HSF-IF.B.4
, HSF-IF.C.7b
, MP4
+1
Also included in: Algebra 2 - Unit 1 - Relations & Functions
Parent Functions (Algebra) Foldable
Students create an 8 door (shutter) foldable on the types of parent functions - identity, constant, absolute value, reciprocal, cubic, square root, quadratic and greatest integer. Inside the foldable, students draw the function and can include information such as the equation, domain, range, X & Y intercept etc. Use this as part of an interactive notebook. More notes, games & foldables available at Sandy's Science.
8th - 12th
Algebra 2, Math
Special Functions Introductory Notes
This 2 page set of introductory notes on special funtions is a great way to introduce step functions, absolute value functions, constant functions and piecewise functions. Students will have the opportunity to first learn the greatest integer function, practice some examples and then go right into graphing a step function.
9th - 12th
Algebra 2
Graphing Families of Functions Worksheet
This worksheet is a good review of graphing different types of functions. I used this in my PreCalculus class. There are 24 total functions to graph. Types of functions: linear, absolute value, piecewise (including step and greatest integer functions), square root, rational, quadratic, cubic, and quartic polynomials. A scanned answer key of the graphs is included.
8th - 12th
Algebra 2, Graphing, PreCalculus
FREE AP Calculus AB/BC | Unit 0: PreCalculus Review | Notes and Homework
Product Description - Class: AP Calculus AB/BC Topic: Unit 0: PreCalculus Review Lesson 0.1 – Types of Functions Lesson 0.2 – Intro to Trigonometry Topics covered include: - linear, quadratic, cubic, exponential logarithmic, rational, absolute value, square root, greatest integer (step), trigonometric, polar, and parametric functions - trig ratios - degrees vs. radians - unit circle - inverse trig - trig identities _________________________________________________
9th - 12th
Calculus, Other (Math), PreCalculus
Graphing Step Functions Notes: Domain, Range, and Continuity
This notes sheet breaks down graphing step functions into clear, manageable steps, helping students understand how and why the graph “jumps” between intervals. It includes structured examples that highlight key features like domain, range, endpoints, and open vs. closed circles, while also reinforcing the greatest integer function and showing students how to graph step functions using a calculator. As a teacher, this resource takes the guesswork out of introducing step functions. It’s ready to u
9th - 12th
Algebra 2, PreCalculus
Properties of Functions and Function Library
This is an intense 28 page packet that covers topics and examples for the basics of functions
domain and range
continuity
intervals of increase and decrease
extrema
symmetry
asymptotes
x and y intercepts
end behavior
and then the following function families
linear
quadratic
cubic
square root
cube root
absolute value
reciprocal
exponential
logs
sine
cosine
greatest integer
all functions have a place for a sketch, table of values, function behavior (inc/dec/constant), end behavior, symmetry, domai
10th - 12th
Algebra 2, Calculus, PreCalculus
Piecewise Functions Bundle-Lesson, Guided Notes, Worksheet, Assessment & Warmup
Piecewise Functions Bundle- Complete, Standards-Aligned ResourceTransform your students’ understanding of piecewise functions with this comprehensive, classroom-tested bundle! Designed to engage and support learners at every stage, this resource includes everything you need to teach, practice and assess piecewise functions with clarity. What’s Included:PowerPoint Lesson- A Visually engaging, step-by-step introduction to piecewise functions, including graphing piecewise functions, evaluating and
9th - 12th
Algebra 2, PreCalculus
CCSS
HSF-IF.A.2
, HSF-IF.C.7
, HSF-IF.C.7b
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