Basic Math Reference Sheet
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MATRICES - Basic Operations with Technology
This lesson on using the calculator for matrix operations will guide students to answer the questions:
Is it possible to use technology to do operations with matrices?
What are the benefits to using technology for matrix calculations?
What are the steps to store a matrix in the calculator?
How do we perform basic matrix operations with technology?
Does a calculator do all matrix operations in the correct order?
What does it mean when we get an error response (i.e.invalid dimension)?
How do we
9th - 12th
Algebra 2, Other (Math), PreCalculus
Also included in: MATRICES - 10 lesson BUNDLE
Polynomials Reference Sheet
Our reference sheets are designed to scaffold student’s understanding while learning and practicing new concepts or to review concepts. Students can use the Polynomials Reference Sheet as a guide while learning polynomial vocabulary and when working to simplify, add, subtract, multiply, and divide polynomials. This guide is perfect for supporting students at all levels, ensuring that all learners can be successful during class activities and on assessments. Alternatively, the blank version can b
8th - 10th
Algebra, Math, PreCalculus
Basic Trigonometric Reference
Right Triangle Trigonometric Functions Reference Sheet. Includes a blank worksheet for students to fill out and a completed reference sheet. I use this in my students' interactive notebook. Special right triangles. Sine, cosine, tangent, cosecant, secant, cotangent.
9th - 12th
Geometry, Other (Math), PreCalculus
Graphing Cotangent Functions | Lesson Packet, Reference Sheet, Worksheet, Keys
How to graph cotangent [cot] functions step-by-step. Introducing the basic graph of cotangent parent function with Table of Values by evaluating the unit circle using the cotangent equation [y=cot x]. How to graph any cotangent function transformation [y=acot (bx-c)+d] step-by-step with vertical asymptotes and 5 critical points. Comparing and contrasting reciprocal trigonometric functions [cotangent vs. tangent] graphs, equations, and properties (domain, range, period, etc.).THIS ZIP-FILE INCLU
11th - 12th, Higher Education
Calculus, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
+2
Basic Trig Identities w/ Unit Circle
A good study guide or cheat sheet for the basic trigonometry identities. The sheet also contains a unit circle.
10th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
Basic Unit Circle in Degrees Practice
This self checking digital worksheet is perfect for practicing finding trig values using the unit circle. This resource gives students one of the three basic trig functions (sin, cos, tan) and an angle in degrees and they have to evaluate and find the exact value without using a calculator. This no prep practice is perfect for your students in class or at home as a digital homework. This resource is perfect for instant feedback using google sheets. This digital practice worksheet is made up o
10th - 12th
Math, Other (Math), PreCalculus
Precalculus Study Guide: Function
⭐ Precalculus Function Basics – Visual Concept Cards | Definitions, Diagrams, Graphs & Examples ⭐Support your students’ understanding of foundational precalculus concepts with this comprehensive set of function concept cards. Each card clearly introduces a key topic with student-friendly definitions, helpful diagrams, and illustrative graphs. When sample problems enhance understanding, fully worked solutions are included so students can see each step and learn how to solve problems accuratel
9th - 12th
Algebra, Algebra 2, PreCalculus
Trigonometric Identities
Trigonometric Identities Reference Sheet – PrecalculusGive your students a clear, organized, and comprehensive guide to mastering trigonometry with this all-in-one Trigonometric Identities Reference Sheet. Designed specifically for precalculus learners, this resource brings together every essential identity students need to simplify expressions, prove identities, and solve trigonometric equations with confidence. This easy-to-read sheet includes: Reciprocal and quotient identities Pythagorean
10th - 12th
Algebra 2, Math, PreCalculus
Deriving Trigonometric Identities from scratch - detailed solutions
Starting with the basic identities - a whole collection of identities are systematically developed. Complete with restrictions and comments.
Works best as a worksheet. When complete should be used for reference and studying.
Depending of the students - the package should take about an hour.
I have included a detailed answer sheet with comments.
10th - 12th, Adult Education, Higher Education
Algebra, Math, PreCalculus
Trig Values Table for Unit Circle Special Values Organizer
This color-coded table of Common Reference Angles of the Unit Circle helps students learn the basic trig values in both radians and degrees. Students can discover patterns by way of the colors. The trig values are in exact fraction form, no slashes. I give this to my PreCalculus and Calculus students the first week of class in a plastic page protector and tell them to keep it handy (except during tests). It certainly is an improvement over having them stare at the ceiling when they need sin(
10th - 12th
Algebra, Other (Math), PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.3
, HSF-TF.A.4
Also included in: PreCalculus Trig Foldable Notes Bundle
Right Triangle Trigonometry Guided Notes as Foldable
Are you working on special right triangles, basic right triangle trigonometric functions (SOH-CAH-TOA), simplifying radicals and the first quadrant of the unit circle? This basic trig note guide sheet created as a folding graphic organizer is great for high school geometry students to reference while learning trigonometry. Includes an EDITABLE PowerPoint Version! ✅Purpose: To help students understand when to use which trigonometric function and to begin to understand the first quadrant of the u
9th - 12th
Algebra 2, Geometry, PreCalculus
Trig Functions & Trig Identities | High School Unit Bundle | Algebra 2
Trigonometry worksheets for the complete Algebra 2 unit — from basic trig review and right triangle trig word problems through trig unit circle guided notes, graph trig functions worksheets, inverse trig worksheets, and a full set of trig identities worksheets. This bundle covers all 14 lessons with 850+ practice problems, plus 3 reviews, 3 quizzes, 2 tests, a cheat sheet, and 2 real-world inquiry projects — 25 complete resources in one download. 📦 What's Included 14 Guided Notes & Worksheets —
9th - 12th
Algebra 2, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.B.5
+5
12th Grade Precalculus - Unit 6: Trig Applications, Vectors & Polar Coordinates
12th Grade PreCalculus USA This resource includes:-9 Presentations -9 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 6 – Trigonometric Applications, Vectors & Polar Coordinates6.1 Law of Sines and applications (including ambiguous case) 6.2 Law of Cosines and applications (non-right triangles, bearings problems) 6.3 Area of oblique triangles and related formulas 6.4 Introduction to vectors in the plane: magnitude, direction, and component form 6.5 Vector operations
12th
Geometry, PreCalculus
Also included in: 12th Grade Precalculus - Full Course Curriculum
12th Grade Precalculus - Unit 5: Analytic Trigonometry & Trigonometric Equations
12th Grade PreCalculus USA This resource includes:-9 Presentations -9 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 5 – Analytic Trigonometry & Trig Equations5.1 Fundamental identities: reciprocal, Pythagorean, and quotient identities 5.2 Simplifying trig expressions using identities 5.3 Verifying trig identities (step-by-step algebraic proof style) 5.4 Sum and difference formulas for sine, cosine, and tangent 5.5 Double-angle and half-angle identities 5.6 Produc
12th
Geometry, PreCalculus
Also included in: 12th Grade Precalculus - Full Course Curriculum
12th Grade Precalculus - Unit 9: Counting, Binomial Theorem, and Probability
12th Grade PreCalculus USA This resource includes:-8 Presentations -8 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 9: Counting, Binomial Theorem, and Probability9.1 Fundamental counting principle; factorial notation; organized counting (lists/tree diagrams) 9.2 Permutations (with/without repetition) and combinations; choosing vs arranging 9.3 Binomial coefficients and Pascal’s triangle; combinations as coefficients 9.4 Binomial theorem; binomial expansion; genera
12th
PreCalculus, Statistics
Also included in: 12th Grade Precalculus - Full Course Curriculum
12th Grade Precalculus - Unit 8: Sequences and Series
12th Grade PreCalculus USA This resource includes:-7 Presentations -7 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 8: Sequences and Series8.1 Sequence notation; explicit vs recursive; term vs index 8.2 Arithmetic sequences; arithmetic series; sigma notation; partial sums 8.3 Geometric sequences; geometric series; sigma notation; partial sums 8.4 Finite vs infinite geometric series; convergence and why the formula works 8.5 Summation properties (linearity, splitti
12th
Other (Math), PreCalculus
Also included in: 12th Grade Precalculus - Full Course Curriculum
12th Grade Precalculus - Unit 3 – Exponential, Logarithmic, and Power Functions
12th Grade PreCalculus USA This resource includes:-9 Presentations -9 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 3 – Exponential, Logarithmic & Power Functions3.1 Exponential functions review: continuous growth/decay, base e 3.2 Graphs and transformations of exponential functions; interpreting parameters in context 3.3 Logarithms as inverses of exponentials; notation, evaluation, and basic properties 3.4 Graphs and transformations of logarithmic functions; doma
12th
PreCalculus
Also included in: 12th Grade Precalculus - Full Course Curriculum
Polar Graphs Hot Topics Task Cards Infographic and Practice Precalculus
⭐⭐This Polar Graphs Hot Topic is made for your Precalculus students to gain proficiency in their ability to recognize behavior of polar curves and their respective equations. Also, for your AP Calculus students to review some basic polar graphs prior to motion, area and polar topics in the AP Calculus BC course content.⭐⭐ You will find a SET OF PRACTICE QUESTIONS that can be used as a homework assignment, a set of TASK CARDS, and an INFOGRAPHIC that students can use as a reference tool. Th
10th - 12th
Calculus, Other (Math), PreCalculus
Logarithmic Functions:Scaffolded Problems including Real-World Apps(Grade 10-12)
Logarithmic Functions: 31 Scaffolded Problems including Real-World Apps (Grade 10-12)Master Logarithms from Theory to Real-World Application!Equip your Grade 10-12 students with a deep, conceptual understanding of logarithms. This 13-page comprehensive resource is designed for Algebra 2 and Pre-Calculus classrooms, taking students from basic transformations to high-level scientific challenges. What’s Included?This pack features 31 carefully curated problems divided into 6 progressive parts to
10th - 12th
Algebra 2, PreCalculus
Trig Identities Activity Card Sort | Digital Printable | Algebra 2 Precalculus
This Trigonometric Identities Card Sort is great for your Algebra 2 Honors students as well as your Precalculus students! You get the printable cards on quarter sheets of paper and the digital version of all cards with movable answers! Included is also a Student Work Booklet for them to show their work as well as a cheat sheet so they can refer to the rules as they work! There are 30 question cards and 30 answer cards that your students will match to their equivalent counterparts. The dig
11th - 12th
Algebra 2, PreCalculus
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