Percent Increase and Decrease Quiz - Page 13
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HPC: CU 6: 4.7 Day 1: Inverse Trigonometric Functions
- Arc sine, Arc Cosine, and Arc Tangent
- Evaluation inverse trig functions without a calculator
- Evaluating inverse trig functions with a calculator
- Finding value of composed trig functions
10th - 12th
PreCalculus
annotated: HPC: CU 7A: 5.1 Day 2: Fundamental Identities
- Simplify expressions by factoring and using identities
- Simplify expressions by expanding and using identities
- Simplify expressions by combining fractions and using identities
- Solving Trigonometric Equations
10th - 12th
PreCalculus
Conics - Circle Solution Summary
This presentation covers the process and steps required to determine the standard form of equation of a circle. It includes background information and data on the general properties of circles (including horizontal and vertical translations) as well as an initial review of the steps involved in “completing the square” of a quadratic expression, which is sometimes required to determine the circle standard form equation. Six (6) circle solution and graphing examples are worked out in detail in
10th - 12th
Algebra 2, Geometry, PreCalculus
Also included in: Conic Solution Summary Bundle - Precalculus
Linear Programming Applications Guided Notes
These notes include definitions, steps, and two fully broken-down examples that allow you to walk through the process of solving a linear programming application problem with your students. I used these notes in an honors precalculus course, but they could be easily modified for use in an algebra 2, advanced algebra 2, or non-honors precalculus course.
10th - 12th
Algebra 2, PreCalculus
CCSS
HSA-REI.D.12
Graphing Logarithmic Functions Practice (Editable)
Students will graph 4 logarithmic functions and State the domainState the rangeState the equation of the vertical asymptoteRewrite in exponential (implicit) formComplete an x/y table with y values specified to be in the "elbow" of the graph
10th - 12th
Algebra, Algebra 2, PreCalculus
Radians Versus Degrees Part 1 - Trigonometry
This lesson is a highly animated, and visually appealing PowerPoint. From this lesson students should understand the following: What degrees are, and how they're defined.What radians are, and how they're defined.Why there are not an integer number of radians in a full rotationThis is not a how-to lesson, but instead a lesson designed to give students an intuitive sense of what a radian is, and how the approach measuring an angle differently than how degrees approach measuring an angle. This vid
9th - 12th
Geometry, Other (Math), PreCalculus
Parabola Tic Tac Toe
First choose which partner will be “x” and which will be “o”. Take turns picking a problem listed below and solve. The answer to the problem you select should be listed below. Find the answer and mark with an “x” or an “o”. First partner to get three in a row, wins. Covers: Finding focus, directrix, and axis of symmetry. Also requires students to write an equation when given the focus, directrix, and axis of symmetry.
10th - 12th, Higher Education
Algebra 2, Other (Math), PreCalculus
Graphing Sine/Cosine Transformations (Overall Review)
This is a worksheet that requires students to graph sine and cosine functions that contain vertical/horizontal stretches, vertical/horizontal shifts, and reflections over the x and y axis.
10th - 12th
Algebra 2, PreCalculus
Also included in: Graphing Sine/Cosine Transformations Worksheet Bundle
IB Math SL Practice Mathematical Investigation 2011 (Editable)
IB recently changed Internal Assessments from having investigations of Type I and Type II to having a portfolio.
Even though IB would no longer require students to do this type of investigation, I kept this mathematical investigation around anyway, as I think the process students go through to arrive at a formula is very valuable. I basically treat it as a project.
The investigation has them look into the problem of determining the maximum number of "slices" a pizza may be cut into with a rand
10th - 12th
Geometry, Math, PreCalculus
Math 12 - The Unit Circle
Introduction to the Unit Circle Connecting the relationship between the unit circle and the coordinates of a point rotating along the unit circle connected to an angle in standard position. Connects to MH Ryerson's Pre-Calculus 12 - Section 4.2.
12th
PreCalculus
Also included in: Math 12 - Trigonometry and the Unit Circle
Graphs of Rational Functions
This is a graphic organizer to be used as notes for defining and describing graphs of rational functions. An example is given for finding vertical asymptotes and two methods for finding horizontal asymptotes. The first is to find the inverse function then see where it is undefined. The second is to divide the numerator and denominator by the highest power of x then find the value when x approaches infinity. It does not go into detail on actually graphing the functions and does not include holes.
11th
Algebra 2, Graphing, PreCalculus
Function Operation Cafe
The students will chose problems to work from a "menu" of function operations and function composition examples.
10th - 12th
Algebra, Algebra 2, PreCalculus
Factoring to Find Zeroes PPT
This PPT complements the engageNY Algebra 2 lesson on factoring to find zeroes and multiplicity of functions. It is a more advanced lesson and should only be taught after the fundamental factoring methods have been reviewed/taught to students. Groupwork at the end of the PPT refers to selections from the Holt McDougal Algebra 2 textbook.
9th - 11th
Algebra, Algebra 2, PreCalculus
Logarithm Expansion/Condense Matching
This is a one-page matching worksheet for students to be able to recognize and evaluate logarithms that are expanded and condensed after they have learned log properties. After they match the expanded logarithm to the condensed version, they evaluate it. The solutions are on the second page. I use this as an end-of-class activity to do a check for understanding.
10th - 12th
Algebra 2, Math, PreCalculus
Logarithms Exponentials Derivatives (PP)
I use this powerpoint for 2 days.
The first day starts with review of logarithms and exponentials with and without the use of the calculator. (Could be used with a precalc class.)
There are 7 problems evaluating exponentials and 10 with logarithms.
There are also 4 problems rewriting and solving problems using the properties of logarithms.
The second day the derivative rules for logarithms are given and there are 10 questions using the derivative. Two of the questions are shown using logarit
11th - 12th, Higher Education
Calculus, PreCalculus
THREE Full AP Precalculus Practice Exams
THREE Full AP Precalculus Exams:Included are 3 full Practice Exams, each with 40 Multiple Choice Questions and 4 Free-Response Questions. These questions model the AP Exam with similar wording and concepts tested. Included in each test are: -28 Non-Calculator MCQ -12 Calculator MCQ -2 Calculator FRQ -2 Non-Calculator FRQ Thus, you get 120 Multiple Choice Questions and 12 Free-Response Questions in this bundle! What's Included?Each AP Exam comes with -A fully EDITABLE Exam, thus allowing yo
9th - 12th
Math Test Prep, PreCalculus
TI-83/84: Common Error Messages
This is a quick reference sheet I give my students so they don't have to stop class and ask me for help when they receive an ERROR message on their calculators. It shows the most common error messages that they run into during pre-calculus (WINDOW RANGE, INVALID DIM, DIM MISMATCH, SYNTAX) and how to solve it. Many of my students are intimidated by the many buttons of the TI-83/84, especially because it is so much less intuitive than their calculator apps on their phones. They've found this to
9th - 12th
Algebra 2, Graphing, PreCalculus
Precalculus Trigonometry Trivia Review Game (Questions)
A fun, interactive review game that reviews Precalculus trigonometric concepts such as radians, the unit circle, trig functions, and vectors. Designed to take 2 45-min class periods or one 80-90 minute time block. Trivia scoring sheet sold separately (or available in bundle for just a dollar more). You'll also want to have plenty of slips of scrap paper cut out for teams to write and submit their answers. I usually give about 1-3 minutes per question (depending on difficulty) and play music duri
10th - 12th
Algebra 2, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
+6
Also included in: Precalculus Trigonometry Trivia Review Game
Algebra Assignment
An algebra assignment for an extension Year 8 or 9 class that covers: expanding brackets, binomial expansion, simple and complex factorising, adding and subtracting algebraic fractions.
The document comes in *.docx form and is fully editable.
7th - 10th
Algebra, Math, PreCalculus
Daily Assessment: Functions 1; two versions (Editable)
I wrote this daily assessment for my students to show how they were progressing on the topic of functions and using function notation.
I project daily assessments at the front board for the first 10 minutes of class, and they typically cover material taught two classes ago, which gives the students a chance to do the homework and ask questions about it before they are assessed.
Since my students normally sit at tables for two, I have the kid on the left side of the table take the "left side"
9th - 11th
Algebra 2, Math, PreCalculus
Circle Vocabulary
I always start each topic with vocabulary first. Instead of having the kids write the definitions, I do cut and paste in our journals. I pull out the popsicle sticks and go through the class, making a bit of a game of it. No keys available.
9th - 12th, Higher Education
Algebra 2, Calculus, PreCalculus
Also included in: Conics Vocabulary (simple)
The Graph of a Function Circuit Training
This circuit training I think is filled with necessary skills for students to be successful in Pre-Calculus classes and Calculus classes. This circuit gives students different graphs and functions and ask specific questions about each. This is an editable document so you can change as you please. An answer key is not provided since all the answers are given.
11th - 12th
Algebra, Math, PreCalculus
CCSS
HSF-IF.B.4
Completing the Square Quadratic Equations Notes HW PowerPoint
Teach your students to Solve Quadratics by Completing the Square with this multimedia lesson containing a PowerPoint, Guided Notes, HW and more. Students traditionally have trouble with this topic. Now they can learn and understand it through multiple activities included in this resource with over 30 problems for them so solve. Included: PowerPoint Lesson with many examples, all animated. Also included are slides which develop the steps for Deriving the Quadratic Formula Printed version of t
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-REI.B.4
, HSA-REI.B.4a
, HSA-REI.B.4b
Rules of Exponents Circuit Training
This circuit training covers the rules of exponents. It covers all the rule except the rule involving roots. The problems increase in difficulty as you progress. This is an editable document so you may change as you need. An answer key is not included since all the answers are given.
9th - 12th
Algebra, Math, PreCalculus
CCSS
HSN-RN.A.1
, HSN-RN.A.2
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