121 results
High school precalculus lessons for Microsoft Word
Learning Activities for the Pre-AP* Algebra II and Pre-calculus Classrooms
This book contains interactive learning activities that can be used as exploratory lessons and class discussions to develop topics in Algebra II and Pre-calculus. Topics include a variety of different topics that are typically found in each of these two courses. They are designed to foster analytically thinking that all students need, but that students of Pre-AP* and AP* classes need in order to be successful in AP Calculus and/or AP Statistics. A complete list of topics can be seen by downlo
Subjects:
Grades:
11th - 12th
Types:
Key Features of Polynomial Graphs Interactive Notes and Student Practice Pages
After you have introduced some basic concepts about polynomial functions and their graph to students, begin introducing them to analyzing the key features of the graph: zeros, turning points, local extrema, intervals where the function is positive & negative, and intervals where the function is increasing & decreasing. These scaffolded notes and practice pages work great for students to understand this complex topic. The only thing students need besides the note or practice page you give
Subjects:
Grades:
9th - 11th
Types:
CCSS:
Also included in: Polynomial Functions Resource Bundle (PrBL PBL Unit)
Transformations!
Algebra 2 level Transformations packet highlights Linear, Absolute Value, Radical, Quadratic, Logarithmic, and Exponential functions. It includes 10 lessons with teacher guided problems for listing transformations, adjusting points to graph transformed functions without a calculator, applying rules of transformations to create new functions, and a bonus lesson for graphing logarithms using three points. Could be used for a quick basic (possibly independent) run down for an honors class or coul
Subjects:
Grades:
9th - 12th
Precalculus: Sequences and Series Note Packet
Sequences and Series Guided Note Packet for Precalculus.Covers 9 Lessons:1) Sequences2) Summation Notation3) Arithmetic Sequence4) Arithmetic Series5) Geometric Sequence6) Geometric Series7) Expanding a Binomial using Pascal’s Triangle8) The Binomial Theorem (with a mini-lesson on factorials)9) Mathematical InductionEditable download in Microsoft Word. Total of 16 pages!Each lesson includes the main concepts/formulas/theorems and several examples that vary in difficulty.
Subjects:
Grades:
9th - 12th
Types:
Ferris Wheel Investigation - Discovering Sine and Cosine Graphs
This is generally aTWO-DAY investigation that the students do in small groups.The students use their knowledge of 30-60-90 triangles to come up with the values for sine and cosine within the context of a Ferris wheel. Extentions include discussion of co-terminal angles, unit circle, amplitude, period, and phase shift. Prerequisite knowledge: Special Right Triangles and Radian measure. I do this BEFORE discussing the unit circle and end up referring to this investigation throughout our discussion
Subjects:
Grades:
10th - 12th
Types:
Vertical Horizontal Slant Asymptotes of Rational Functions
This is a guided note sheet that covers the topic of vertical, horizontal and slant asymptotes. Although this is not a "fun" activity, I think at the PreCalculus level it is necessary to discuss mathematical topics that are thought provoking without clouding the concept. The flow of the lesson has students discuss with the teacher the hows and whys of each asymptote and is followed by how to graph rational functions without the aid of a graphing calculator. The lesson also includes how to det
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education
Types:
Binomial Probability (Bernoulli) Discovery
If you flips 8 fair coins, what is the probability of getting exactly 3 heads?
Binomial probability is a topic that has confused statistics, probability, and algebra students for years. I have written a discovery-based, guided inquiry lesson where students will "see" the patterns that emerge from solving binomial probability problems.
I have had much success with this lesson in years past, and I hope you'll take a look.
Subjects:
Grades:
9th - 12th
Types:
Polynomial Functions Resource Bundle (PrBL PBL Unit)
Polynomials Unit for Pre-Calculus, Algebra II, or Honors Algebra I. This bundle includes launch activities (explorations/labs) all the way through the summative assessment in the form of a test or an essay. This is a Problems Based Learning unit design.
Subjects:
Grades:
9th - 12th
Logarithms Desmos Activity
This lesson/activity was designed to have students explore the transformations of logarithms using online graphing software through Desmos.com. This can be used as an independent investigation (if students have access to computers/personal devices) or as a guided lesson. It serves as a great reference tool for the logarithms unit.
Subjects:
Grades:
12th, Higher Education
Types:
Algebra 2: Exponentials and Logarithms (Unit 9)
This is a whole chapter introducing fundamental Algebra 2 concepts in graphing Exponential and Logarithmic functions as well as understanding the key relationship between the two ideas. This chapter does not cover all the rules for logarithms, just the change of base formula as well as translating between exponential and logarithm forms. The three targets are specifically: "Target EL1: I can graph exponential and logarithmic functions." and "Target EL2: I can rewrite equivalent forms of exponent
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Domain, Range, and Is it a function? Cards
This is a great activity to do once you have taught how to find the domain, range, and determining functions. I used it as a warm-up after the lesson had been taught. You give each student a set of the cards (I recommend copying them on different colors of paper, that way they aren't as easy to get mixed up). The first thing you can do is have the students seperate them into 2 columns, 1 for functions, the other for nonfunctions. Once they have them seperated, you can have them find the doma
Subjects:
Grades:
8th - 12th
Types:
Conic Sections Unit: Circles, Parabolas, Ellipses, Hyperbolas; Alg 2/PreCalculus
Conic Sections Unit: Circles, Parabolas, Ellipses, Hyperbolas. Used in Algebra 2 and PreCalculus. This is a four week unit on conic sections and includes the following:
Pages 1-43: Lesson Plans
Pages 44-67: Worksheets, Crossword Puzzle, Research Projects with Rubrics, Assessment Project, Review.
Pages 69-89: A and B Form Quizzes and Tests for the Unit.
Subjects:
Grades:
9th - 12th, Higher Education, Adult Education, Staff
Types:
Honors Precalculus - Prerequisites Chapter Note Packet, Pacing Guide
Chapter P - Prerequisites Note Packet-pacing guide (55 minute classes, 5 times in a 6 day cycle)-homework assigned (from Precalculus: Graphical, Numerical, Algebraic)
Subjects:
Grades:
10th - 11th
Also included in: Chapters P,1,2 - Note Packets, Filled in Note Packet, Cumulative Test
Algebra 2: Mid-Term Review (Unit 7)
This is a fairly small chapter introducing reviewing fundamental Algebra 2 concepts in solving and graphing functions, as well as identifying key features of those functions. Some of the topics that students will be expected to remember are: Absolute Value functions, Quadratic Functions, Polynomials, Square Roots, Cube Roots, and solving equations that use these types of operators. THIS WOULD BE AN EXCELLENT INTRODUCTION PACKET FOR ADVANCED PRE-CALCULUS CLASSES TO GIVE BEFORE STARTING OFFICIAL M
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Radical Expressions & Rational Exponents Review & Assessment
The problems and activities within this document are designed to assist students in achieving the following standards: HSN.RN.A and HSA.REI.A, as well as the standards for mathematics practice and the literacy standards. They are also designed to help the teacher assess the students’ abilities when it comes to working with the ideas within the standards.
This folder contains problems designed for review and assessment, related to radical functions and rational exponents, some of which are simil
Subjects:
Grades:
6th - 12th, Higher Education, Adult Education, Staff
Types:
Logarithms Extension
Certain images can evoke powerful emotional responses such as the picture of a devastating earthquake on the cover of this activity. Coupled with the fact that logarithms are used to define the intensity of earthquakes, this image might provide the impetus for individuals to delve further into the study of logarithms. But to really arouse your students’ interests in studying logarithms, inform them that logarithms have been used to detect fraud in accounting data and were instrumental in determ
Subjects:
Grades:
10th - 12th
Types:
Trigonometric Functions Sign Card Sort Activity
When we began solving problems to calculate the values of trigonometric functions, my students struggled time and again with how to know if a value should be positive or negative. This simple activity asks students to determine where on the unit circle each of the six trigonometric functions are positive and negative. Give students one class period to sort out positive and negative for every function; then they can glue down the cards for a reference sheet to use on their homework the rest of th
Subjects:
Grades:
10th - 12th
Types:
CCSS:
Special Right Triangles and the Unit Circle Guided Notes
These are guided notes I used to reteach right triangle trig and teach students to use special right triangles to generate points on the unit circle. It includes definitions and examples that you can use to guide your lesson. Diagrams are included for each example.
Subjects:
Grades:
10th - 12th
Types:
Divide Complex Numbers using Conjugates Guided Notes
Guided notes and practice problems on dividing complex numbers. Word document can be edited.
Subjects:
Grades:
9th - 12th
Types:
Lesson Plan: Infinites and Differentiations
This is a comprehensive resource of the topics. It can be used as hand-out or its content can be copied and pasted if you want to develop your own lesson plan.
The following topics are covered in this minilesson:
Limit of a Function
General Rules of Limits
Indeterminate Limits
Rationalizing Method
Squeeze Lemma
Differentiability at a Target Point
heck Your Understanding
Differentiating Polynomials
Formula of Derivative Based on the Concept of Limit
General Procedure for Derivative o
Subjects:
Grades:
12th, Higher Education
Types:
CCSS:
Asymptotes and Holes
This asymptote unit will be all you need! AFTER you have taught factoring and domain and range using a graph you are ready for this five to seven day unit. Students will start this unit by determining the domain of a function algebraically. Then they will use that knowledge to determine vertical asymptotes and PODs. The lessons continue with horizontal asymptotes which prepares them for calculus by looking at the end behavior (limits).
I have written 5 complete lessons which include a warm up,
Subjects:
Grades:
11th - 12th
Types:
Imaginary Numbers/Powers of i Introduction (discovery)
The imaginary unit, i, is a difficult concept that many students struggle to grasp. In this discovery based activity, students learn what i is, discover the patterns within the imaginary unit, and solve problems with their newfound knowledge. Instead of telling the students what to do, let them see it for themselves.
Subjects:
Grades:
9th - 12th
Types:
PreCalculus 30 - Chapter 7/8 Notes LOG AND EXPONENTIAL FUNCTIONS
This editable note package pairs perfectly with the Saskatchewan Curriculum and WNCP. It covers the topic of exponential and logarithmic functions, including conversions of logs/exponentials, graphing, transformations, word problems, and solving equations. Hand-in assignments are also included with this note package. The bundle also contains the smart notebook files, and other freebies. Enjoy!
Subjects:
Grades:
12th
Types:
Also included in: PreCalculus 30 - Chapter 7/8 EXPONENTIAL & LOG FUNCTION **Bundle**
Intuition Versus Proof
Recently, I watched The Man Who Knew Infinity, which is a 2015 British biographical drama film based on the 1991 book of the same name by Robert Kanigel. The two main characters of the story are Srinivasa Ramanujan, “a Mathematician Brilliant Beyond Comparison,” and the English mathematician G. H. Hardy. Their collaboration resulted in the creation of many amazing mathematical theorems.One of the underlying themes of the story (in my opinion) involved Ramanujan’s intuitive ability to produce e
Subjects:
Grades:
10th - 12th
Types:
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