Free applied math lectures

Applied Math, Mathematics, Statistics

Lecture notes on understanding data, distributions, descriptive statistics, probabilities, predictions, laws of probabilities, the law of large numbers, expectations, payoffs, risk aversion, conditional probability, statistical inference, and some applications in sustainability and environmental modeling.

Subjects:

Grades:

10th - 12th, Higher Education

Types:

Lecture Slides (Chapter 6) Change, Exponential, and Logistic Models

Created by

Applied Math, Environment, Mathematics

Lecture notes on logarithms, change, growth rate, modeling population growth using exponential and logistic models, measuring feedback strength, nonlinear controls, changing the equilibrium, and tipping points.

Subjects:

Grades:

10th - 12th, Higher Education

Types:

Lecture Slides (Chapter 8) Game Theory and the Tragedy of the Commons

Created by

Applied Math, Economics , Mathematics

Lecture notes on market perspective/paradigm, Pareto optimal, market failure, the value of statistical life, large-scale change, Stern review, game theory, payoff matrix, the prisoner's dilemma, best responses, dominant strategies, Nash equilibrium, the idea of the commons, tragedy of the commons, managing the commons, the role of mathematics in sustainability.

Subjects:

Grades:

10th - 12th, Higher Education

Types:

Applied Math, Career and Technical Education, Engineering

TinkerCAD introduction dimension and views (part 1) acc by my YouTube video

Created by

Sarah Technology

This worksheet should be completed as you are watching a YouTube video named: TinkerCAD introduction dimensions and Views (part 1)The YouTube video explains how to sign into TinkerCAD, as well as dimensions and views, which are key concepts needed to create 3d drawings in TinkerCAD.Look for future TinkerCAD assignments like this one.

Subjects:

Grades:

3rd - 12th, Higher Education, Adult Education, Staff

Types:

Lectures, Activities, Handouts

Lecture Slides (Chapter 4) Stocks, Flows, and Equilibrium

Created by

Applied Math, Environment, Mathematics

Lecture notes on stock-flow system, calculating equilibrium states, the laws of thermodynamics, heating and insulation, energy flows in the climate system, naked-planet model, and glass-ball (greenhouse) effect.

Subjects:

Grades:

10th - 12th, Higher Education

Types:

Applied Math, Math Test Prep, Other (Math)

Introducing Data Representation

Created by

Cook-in Up Sum Fun

This power-point was created as a lesson to use to teach data representation. It is to be used with a digital board, so the students can see easily what is displayed. I had my students copy the vocabulary words into their notebooks. There is a warm-up and intro activity to get their brains thinking. It is editable just please do not turn around and sell this without my permission. Key words: Median mean Mode Data representation numerical data categorical data bar graph dot plot circle gra

Subjects:

Grades:

6th - 8th

Types:

Lectures, PowerPoint Presentations, Interactive Whiteboard

Basic Trigonometric Functions - Summary Sheet

Created by

Pharos Academy

A handy summary sheet outlining the steps taken to find:(1) Trigonometric ratios(2) Angles using trigonometric functions(3) a side length when given an angle and a side measure** Appropriate for Alberta's Math 10C curriculum** Examples provided** Blank copy is provided for students to write their own steps and examples

Subjects:

Applied Math, Math, Trigonometry

Grades:

9th - 12th

Types:

Lectures, Printables, Graphic Organizers

Probability and Stats Unit A Powerpoint

Created by

Old School Math Lessons

High School Probability and Statistics (basic level) - Unit A One Variable Statistics (5 units in the course)

Subjects:

Grades:

9th - 12th

Types:

Lectures

Lecture Slides (Chapter 5) Networks, Connections, and Behavior

Created by

Applied Math, Arithmetic, Mathematics

Lecture notes on network theory, bystander effect, homophily, Harary's Theorem, feedback and dynamic networks, and exponential model.

Subjects:

Grades:

10th - 12th, Higher Education

Types:

Lecture Slides (Chapter 2) Introduction to Mathematical Modeling

Created by

Applied Math, Mathematics

Lecture slide for an introduction to mathematical modeling.

Subjects:

Grades:

10th - 12th, Higher Education

Types:

AP Statistics 03.1.1: Bivariate (two-variables) Scatterplots

Created by

Objectives: -Given a two-variable data set, construct and interpret a scatterplot. -Identify variables as explanatory or response variables. -Describe an association in terms of: *Direction *Shape (or form) *Strength Reference Text: The Practice of Statistics, First Edition. Yates, Moore, McCabe http://www.whfreeman.com/Catalog/static/whf/yates/

Subjects:

Grades:

10th - 12th, Higher Education

Types:

AP Statistics 01.1.1: Describing Distributions Visually

Created by

Objectives: -State whether a variable is categorical or quantitative. -Manually create a dotplot and a histogram that represent given data. -Describe a distribution in terms of center, spread and shape. Reference Text: The Practice of Statistics, First Edition. Yates, Moore, McCabe http://www.whfreeman.com/Catalog/static/whf/yates/

Subjects:

Grades:

10th - 12th, Higher Education

Types:

Anthony's IB and AP Store

IB Math Applications Lecture Slides: Voronoi Diagrams (SL & HL)

Created by

Lecture slides with guided practice and independent practice problems. Aligned with Haese textbook for IB Mathematics Applications and Interpretations HL course.

Subjects:

Applied Math, Geometry, Math

Grades:

11th - 12th

Types:

Lectures, Scaffolded Notes, Lesson

Applying for a Job

Created by

Curriculum That Matters

To be successful in the real world is getting a job. Once you have a job (working for your teacher) you get paid for you work each week. You then pay your bills and try to stay out of debt. The richest student sets the "A" and anyone left with debt doesn't pass. This lesson is the first of a 15 unit course on Financial Literacy and Personal Finance. Every class starts with learning how to get a job and keep a job.

Subjects:

Applied Math, Career and Technical Education, For All Subjects

Grades:

Not Grade Specific

Types:

Lectures, PowerPoint Presentations, Activities

AP Statistics 06.2.1: Probability Basics

Created by

Probability Basics Objectives: -Write the sample space for a set of events. Count the outcomes in a sample space by using: **A branching (tree) diagram. **The multiplication principle. -Apply the basic rules of probability to solve problems. -Describe what is meant by the complement of an event. -Describe what it means to say that two events are disjoint. **Use the addition rule for disjoint events to answer “or” probability questions. Reference Text: The Practice of Statistics, First Edition.

Subjects:

Grades:

10th - 12th, Higher Education

Types:

AP Statistics 02.2.1: The Standard Normal Distribution

Created by

Objectives: -State mean and standard deviation for The Standard Normal Distribution -Given a raw score from a normal distribution, find the standardized “z-score” -Use the Table of Standard Normal Probabilities to find the area under a given section of the Standard Normal curve. Reference Text: The Practice of Statistics, First Edition. Yates, Moore, McCabe http://www.whfreeman.com/Catalog/static/whf/yates/

Subjects:

Grades:

10th - 12th, Higher Education

Types:

Applied Math, Chemistry, Physical Science

Understanding the pH scale with Legos and Logs

Created by

Kaiser Science

Understanding the pH scale using Legos and Logs (no hard math necessary!) An easy way to teach about acids and bases, pH scale, how the pH scale is related to logarithms - and drives the ideas home with a simple Lego based lab :-) A great example of graphing and applied mathematics.

Subjects:

Grades:

9th - 11th

Types:

Lectures, Activities, Lesson

CCSS:

HSF-BF.A.1

NGSS:

HS-PS1-1

AP Statistics 05.2.1: Designing Experiments

Created by

Designing Experiments Objectives: -Describe the difference between an observational study and an experiment. -Draw a schematic diagram of a completely randomized experiment that allows comparison between a treatment group and a control group. -State the three principles of experimental design. -Describe what is meant by “statistically significant”. -Describe what is meant by a “double blind” experiment. Reference Text: The Practice of Statistics, First Edition. Yates, Moore, McCabe http://www.

Subjects:

Grades:

10th - 12th, Higher Education

Types:

AP Statistics 06.3.1: Conditional Probability

Created by

Conditional Probability Objectives: -Recognize whether a conditional probability problem calls for the use of the “or” case rules or the “and” case rules. -Apply the “or” case rules for disjoint and dependent cases. -Apply the “and” case rules for independent and dependent cases. Reference Text: The Practice of Statistics, First Edition. Yates, Moore, McCabe http://www.whfreeman.com/Catalog/static/whf/yates/

Subjects:

Grades:

10th - 12th, Higher Education

Types:

Applied Math, Geometry, Graphing

Transformations Student Notes page

Created by

Darci B

Here is the handout I give my students for my transformations unit. It is a fill in the blank handout that students actively participate with during notes in class. There is a power point that I have created to go along with this handout that is for sale for $3.00. Kids typically enjoy this unit because there are a LOT of examples and pictures that they get a kick out of. Enjoy :)

Subjects:

Grades:

6th - 10th

Types:

Lectures, Handouts, Printables

AP Statistics 01.2.1: Measures of Center and Spread

Created by

Objectives: -Define specific measures of center and spread in a distribution -Recognize notation for mean, median, and the 5-number summary of data -Calculate same manually and on TI -Determine outliers by the 1.5 IQR rule -Draw boxplots manually and on TI -Describe RESISTANCE as it applies to mean and median Reference Text: The Practice of Statistics, First Edition. Yates, Moore, McCabe http://www.whfreeman.com/Catalog/static/whf/yates/

Subjects:

Grades:

10th - 12th, Higher Education

Types:

AP Statistics 05.1.1: Simple Random Samples

Created by

Simple Random Samples Objectives: -Describe the difference between a population and a sample. -Describe the difference between a census and a survey. -Describe what is meant by bias in a sample. -Describe what is meant by a: *Voluntary Response Sample. *Convenience Sample. *Simple Random Sample. -Use a Table of Random Digits to construct a Simple Random Sample of specified size from a population. Reference Text: The Practice of Statistics, First Edition. Yates, Moore, McCabe http://www.whfreem

Subjects:

Grades:

10th - 12th, Higher Education

Types:

AP Statistics 09.3.2: The Central Limit Theorem

Created by

The Central Limit Theorem Objectives: -Perform an activity that demonstrates the effect of the Central Limit Theorem. -Write a statement of The Central Limit Theorem. Reference Text: The Practice of Statistics, First Edition. Yates, Moore, McCabe http://www.whfreeman.com/Catalog/static/whf/yates/

Subjects:

Grades:

10th - 12th, Higher Education

Types: