Percent Increase and Decrease Quiz
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Differentiation
Apply differentiation to gradients, tangents and normals, increasing
and decreasing functions and rates of change (including connected
rates of change);locate stationary points, and use information about stationary points in sketching graphs (the ability to distinguish between maximum points and minimum points is required, but identification of points of inflexion is not included).
The unit includes:
1) The Limit & Differentiation
2) The Derivative and Tangent Line Problem
3) Basic Differenti
11th - 12th, Higher Education
Calculus, Math, PreCalculus
HPC: CU 1B: 1.7 Day 2: Modeling with Functions
- Comparing Functions
- Maximizing a quantity
- Mixture Problems
- Percent increase/decrease problems
- Unit Conversions
10th - 12th
PreCalculus
HPC: CU 1A: 1.2 day 2: Functions and their Properties
- Continuity of Functions
- Removable and nonremovable discontinuity
- Identifying points of discontinuity
- Finding Local Maximum and Minimums
- Identifying Intervals where function is increasing, decreasing, and constant
- Determining Boundedness of a Function
10th - 12th
PreCalculus
Functions and Their Properties Advanced Math/Pre Calculus Mini Lesson
This SmartBoard mini lesson includes determining if a relation is a function, function notation, implied vs relevant domain, findng the domain and range of a function, continuity and types of discontinuity, increasing and decreasing functions, boundedness, local extrema, even and odd functions, identifying asymptotes,and using limit notation,
10th - 12th, Higher Education
Calculus, PreCalculus
PreCalculus: Analyzing Graphs of Functions
This is available as part of a Chapter 1 Bundle for 20% off!
All of my Precalculus work is aligned with the Larson/Hostetler series.
Sections numbers may vary depending on the edition you use.
This section includes:
Domain, range and zeros
Vertical line test
Increasing/decreasing intervals
Finding maxima and minima
Even/odd function characteristics
* If background is too dark, set transparency to 70%. I do not know why the transparency is not preserved in the downloads.
10th - 12th, Higher Education
Algebra 2, PreCalculus
HPC: CU 1A: Review: Functions, Inverses and Modeling
- Match the numerical model to the corresponding graphical model and algebraic model:
- Find an algebraic model to represent the data
- Solving Equations Algebraically
- Solving Equations Graphically
- Grapher Failure
- Hidden behavior
- Solving equations Graphically
- Scatter plots
- Regression equations
- Vertical Line Test
- Defining a Function in Equation Form
- Finding the Domain of a Function
- Finding the Range of a Function
- Continuity of Functions
- Removable and nonremovable discont
10th - 12th
PreCalculus
Percent Mixture and Value Word Problems 2 Intros + 7 Assignments for Power Point
Update: I added Assignment #2B and Assignment #2C which focuses on writing equations in standard form. These assignments are coded and available at socrative. I used them today and it worked well. Included in this zip file are 7 Power Point files. 2 files are introductory lessons for whole class instruction and 5 files are assignments. A brief description of each: Intro #1 is a 20 slide intro to percent mixture problems. 2 problems are analyzed and broken into 3 true 2 variable linear equation
8th - 11th
Algebra, Algebra 2, PreCalculus
AP Statistics 01.1.2: More Visual Displays of Data
Quiz from Section 1.1.1 included.
Objectives:
-Create a manual stemplot of data.
-Create a manual timeplot of data.
-Link calculators to send and receive data.
-Create a calculator histogram and timeplot.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
10th - 12th, Higher Education
Applied Math, Math, PreCalculus
Derivatives Practice PowerPoint with Practice Problems
This PowerPoint presentation was one that I used to review derivatives with a group of Differential Calculus students. It goes over basic differentiation rules with some helpful visual aides. It includes an old quiz and a brief homework assignment. There are also a few bonus slides at the end in case the lecture is not as long as desired.
10th - 12th, Higher Education
Calculus, PreCalculus
Derivatives of Trig and Inverse Trig Functions
This is topic 18 in my AP Calculus curriculum. This PowerPoint guides students through how to apply the derivative rules for trig and inverse trig functions. You may either have students go through the PowerPoint on their own or you may do it as a whole class. It is best used with the corresponding notes that I have created for it.
9th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
HPC: CU 9: 6.3 Day 1: Parametric Equations and Motion
- Graphing parametric equations on a graphing calculator
- Graphing parametric equations by hand
- Eliminate the parameter and identify the graph of the parametric curve
- Eliminate the parameter to obtain the rectangular equation for the curve and Plot the points to graph the curve
10th - 12th
PreCalculus
HPC: CU 1B: 1.5 Day 2: Parametric Relations and Inverses
- Finding the Inverse of a Function
- Finding the domain of the inverse of a function
- Graphing the Inverse of a Function
- find the inverse of a non-invertible function by restricting its domain
10th - 12th
PreCalculus
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
video: HPC: CU 1B: 1.6 Day 1: Graphical Transformations
- Given an equation, Name the Parent Function and Describe the translation
- Sketch a graph of the transformation of functions
- Translations
- Stretches and shrinks
- Reflections
10th - 12th
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
Rational Expressions PPT
A 15-slide, multiple-example PPT that defines rational expressions, introduces students to factoring and simplifying rational expressions, has color-coded examples on multiplying and dividing rational expressions, and includes embedded exit ticket constructivist reflection questions and classwork assignments from the Holt-McDougal Algebra 2 textbook. This could also be used in conjunction with the KUTA free worksheets on simplifying, multiplying, dividing, and solving rational expressions worksh
8th - 11th
Algebra 2, Fractions, PreCalculus
Polynomials.7 Polynomial Theorems with recorded explanations on each slide
This is a double lesson on polynomial theorems, specifically the remainder theorem, the factor theorem, the conjugate factors theorems, and the rational roots theorem. I include video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans.We start by noticing that the remainder when dividing by (x-2) is the same as when we plug in 2 to the equation, and we generalize this to the remainder the
9th - 12th
Algebra 2, PreCalculus
CCSS
HSA-APR.B.2
, HSA-APR.B.3
, HSA-APR.D.6
Also included in: Polynomials Algebra 2 Unit, with complete on-slide recorded videos
HPC: CU 5: 4.2 Day 1: Trigonometric Functions of Acute Angles
- Using one trigonometric ratio to find the remaining 5
- Memorizing the Unit Circle
- Evaluating trig functions for 30, 60, and 45 degree angles
- Evaluating Trigonometric Functions using a Calculator
10th - 12th
PreCalculus
Multiple-Angle Formulas (Part 1) PowerPoint™ Presentation
This PowerPoint™ lesson teaches students from Precalculus to Calculus about Multiple-Angle Formulas. The lesson requires no extra work on the teacher's part. Display it via a projector or interactive board/tv, click through the slides which include animation and natural transitions, while walking around the room engaging with your students. This is also a great tool for asynchronous learning (easy to share with students to work through on their own time, and perfect for making videos). The less
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-TF.B.7
, HSF-TF.C.8
, HSF-TF.C.9
HPC: CU 2A: 2.4 Day 2: Real Zeros of Polynomial functions
- use the Rational Zeros Theorem to solve Polynomial Equations
- Use the graph to guess possible linear factors of f(x). Then completely factor f(x)
- write a polynomial equation given it’s zero’s an leading coefficient
- write a polynomial equation given a table of values
- upper and lower bound tests
10th - 12th
PreCalculus
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