Handout
Prince Edward Island

Fact Learning, Mental Computation, Estimation

For Teachers 4th - 6th Standards
Need help with mental math in your classroom? This guide is full of tips, tricks, and examples to help the teacher encourage learners to use their brain instead of a calculator. Practice problems are included with reasons how...
Lesson Plan
Willow Tree

Simplifying Square Roots

For Students 7th - 10th Standards
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root...
Handout
Charleston School District

Comparing and Ordering Irrational Numbers on a Number Line

For Students 8th - 9th Standards
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
Handout
Charleston School District

Scientific Notation Operations

For Students 8th Standards
How do you operate with numbers in scientific notation? The resource provides examples on how to divide and multiply with numbers written in scientific notation. The handout and video also cover the procedure for addition and subtraction...
Handout
Charleston School District

Evaluation of Roots

For Students 8th Standards
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
Handout
Charleston School District

Estimating Values of Expressions

For Students 8th Standards
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
Handout
Charleston School District

Solving Systems Graphically

For Students 8th - 9th Standards
When guess and check gets old, it's time to start graphing! An instructive lesson explains how to solve a system of linear equations using graphing. Equations are in both slope-intercepts and standard form. 
Lesson Plan
Willow Tree

Perimeter of Common Geometric Figures

For Students 8th - 11th Standards
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
Lesson Plan
Willow Tree

Approximating a Line of Best Fit

For Students 9th - 12th Standards
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Activity
International Technology Education Association

Sizing Up the Clouds

For Teachers 6th - 8th Standards
How much rain can that cloud make? Through a simulation, the class estimates the amount of candy rain contained in different cup clouds. After probing the clouds using different methods, class members adjust their estimates. Participants...
Handout
Quia

Ixl Learning: Estimating Products

For Students 3rd - 5th
Brush up on your math skills relating to estimating products then try some practice problems to test your understanding.
Handout
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Estimating Quotients

For Students 4th - 7th
This is a question about the best way to estimate the answer to a division problem. The answer offers a basic definition of estimation, along with several methods and the positive and negative aspects of each.
Handout
Math Is Fun

Math Is Fun: Approximate Solutions

For Students 6th - 8th Standards
Sometimes it is difficult to solve an equation exactly. But an approximate answer may be good enough!
Handout
Wolfram Research

Wolfram Math World: Trapezoidal Rule

For Students 9th - 10th
This site from MathWorld.com give a formula for a two point trapezoidal approximation for the area under a curve.
Handout
Math Open Reference

Math Open Reference: Linear Approximations

For Students 9th - 10th
Learn about linear approximations with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Handout
Wolfram Research

Wolfram Math World: Simpson'e 3/8 Rule

For Students 9th - 10th
This MathWorld site presents a modification of Simpson's Rule called Simpson'e 3/8 Rule.
Handout
Wolfram Research

Wolfram Math World: Spearman Rank Correlation Coefficient

For Students 9th - 10th Standards
This page gives a description of the Spearman Rank Correlation Coefficient, which is an approximation to the exact correlation coefficient, r. It is somewhat easier to compute than the exact correlation coefficient. Also provides links...
Handout
University of Georgia

University of Georgia: Inter Math: Pi

For Students 9th - 10th
This site opens with a very brief description of pi with an approximation. There are links to related terms, everyday examples, challenging problems, more information, and the interactive check point involving pi located in the left-hand...
Handout
Wolfram Research

Wolfram Math World: Relative Error

For Students 9th - 10th
A brief definition of relative error plus links to pages on absolute error, error propagation, and percentage error.
Handout
Texas A&M University

Differentials

For Students 9th - 10th
Detailed site explaining differentials. This site has downloadable examples and papers on differentiation.
Handout
Northwestern University

North Western: Taylor and Maclaurin Series Approximations [Pdf]

For Students 9th - 10th
The site gives the Taylor and Maclaurin Series Approximation.
Handout
Fact Monster

Fact Monster: Rounding Numbers

For Students 1st - 4th Standards
The lesson explores how to round numbers. Explanations and examples are included in the tutorial.

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