Lesson Plan
Curated OER

BASE-ic Space Travel

For Teachers 4th - 5th
In this 3-day place-value lesson, upper-elementary kids investigate the base 5 and base 2 systems as an introduction to exponents and powers. They create a pocket chart to help ground their understanding of bases, exponents, and powers,...
Lesson Plan
Curated OER

Linear Approximation

For Teachers 9th - 12th Standards
Pupils practice examining the tangent to a function to estimate the value of the function near the point of tangency. They view errors associated with those approximations, determine overestimates and find intervals that guarantee a...
Worksheet
Curated OER

Numerical Analysis: Successive Intervals

For Students Higher Ed
In this successive interval worksheet, students find the approximation of a root, using the Bisection Algorithm. They identify intervals, and use algebraic manipulation to identify functions that have a fixed point.
Lesson Plan
Curated OER

Estimation, Sampling, and Beyond

For Teachers 5th - 8th
Students examine an ISS EarthKAM image of farm land in Texas and New Mexico. They select sample region of image and count the number of fields in that region. They estimate how many fields are in the entire region.
Worksheet
Curated OER

Three Calculus Overview Problems

For Students 11th - Higher Ed
In this calculus overview worksheet, students: find the equation of a tangent line, curve sketch, and find limits.  Students should have covered continuity as well.
Lesson Plan
Illustrative Mathematics

Estimating Square Roots

For Teachers 7th - 9th Standards
No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...
Lesson Plan
Curated OER

A Bubble Full of Math

For Teachers 2nd - 3rd
Students compare estimated lengths with actual lengths.
Lesson Plan
Curated OER

Math and Literature

For Teachers K
Students listen to the reading of "The Button Box" and use buttons provided to tell a story about a chosen button, compare their own buttons to those in the reading. They estimate how many buttons are in a bag and sort buttons based on...
Worksheet
Curated OER

Taylor's Theorem

For Students Higher Ed
In this Taylor's Theorem learning exercise, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They...
Worksheet
Noyce Foundation

Time to Get Clean

For Students 3rd - 5th Standards
It's assessment time! Determine your young mathematicians' understanding of elapsed time with this brief, five-question quiz.
Worksheet
Curated OER

Taylor's Theorem and Error in Tangent Line Approximations

For Students Higher Ed
In this tangent line approximation worksheet, students answer two essay questions about the approximation error when related to a function. They answer three short answer problems. Students graph one function and its tangent line.
Worksheet
Curated OER

Greater Than, Less Than

For Students 1st - 2nd
In this comparing numbers practice worksheet, students use estimation to determine whether each of the 10 pairs of number sentences should be marked as greater than or less than.
Worksheet
Curated OER

Linear Systems: Least Squares Approximations

For Students Higher Ed
In this least squares approximation worksheet, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find the...
Worksheet
Curated OER

Infinite Series

For Students 11th - Higher Ed
In this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
Worksheet
Curated OER

Approximating a Multivariable Function

For Students 11th - Higher Ed
In this math worksheet, students practice approximating the multivariable functions. They also complete the two problems in the form of a quiz.
Worksheet
Curated OER

Numerical Integration

For Students 11th - Higher Ed
In this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
Worksheet
Curated OER

Reasonable Answers

For Students 3rd - 4th
In this reasonable answers worksheet, students solve 6 word problems in which estimation is used. Students circle the most reasonable answer from 3 choices.
Worksheet
Curated OER

Worksheet 12

For Students 11th - Higher Ed
In this math worksheet, students state the Alternating Series Test and give an example of it. They also write down an alternating series which does not converge.
Worksheet
Curated OER

Equal Estimates- Decimals

For Students 3rd - 5th
In this decimal estimation learning exercise, students estimate a set of addition and subtraction problems, rounding to the nearest whole number, then place each problem in the box that contains its estimated sum or difference.
Worksheet
Curated OER

Numerical Analysis: Discrete Least Squares

For Students Higher Ed
In this discrete least squares learning exercise, students use a linear algebra approach to discrete last squares approximation. This two-page learning exercise contains approximately 10 problems.
Worksheet
Curated OER

Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
Worksheet
Curated OER

Worksheet 22

For Students 11th - Higher Ed
For this math worksheet, students apply the following: In physics, the equation W=Fd gives the amount W of energy expended in moving a distance d by applying a constant force F.
Worksheet
Curated OER

Worksheet 14

For Students 11th - Higher Ed
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
Worksheet
Curated OER

Bug Bite

For Students 3rd - 6th
In this addition worksheet, students add three to five numbers together with regrouping and match the answer to the letter in the problem to solve a riddle. Students solve 15 problems and answer 2 questions.