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Lesson Plan
Illustrative Mathematics

Track Practice

For Teachers 6th - 8th Standards
And they're off! While two runners are at track practice, your mathematicians' job is to find out who leaves the other in the dust. The activity provides a variety of data that can be computed into unit rates for comparisons. Available...
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Lesson Plan
Illustrative Mathematics

Cooking with the Whole Cup

For Teachers 6th - 7th Standards
Whoops! Travis accidentally put too much butter into the recipe. Your bakers must find out how to alter the recipe to accommodate different changes by using unit rates and ratios . The activity has multiple parts and calculations with...
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Worksheet
Curated OER

Seven Rates and Ratio Problems Using Tables

For Students 5th - 8th
For this rates and ratios worksheet, students complete tables given rates. This worksheet contains seven multi-part problems where students discover the steps to ratio problems.
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Interactive
Curated OER

Solving Equations with the Variable on Both Sides

For Students 9th - 12th
In this online math worksheet, students solve equations which have the variable on both sides. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific teaching...
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Worksheet
Curated OER

Recursion, Roots and Newton's Methods

For Students Higher Ed
In this recursion instructional activity, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page...
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Worksheet
Curated OER

Successive Approximation and Euler's Method

For Students Higher Ed
In this approximation worksheet, students use the Euler's method to interpret a piecewise linear function. They explore why the approximation produced using a smaller stepsize is a better approximation. This four-page worksheet...
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Lesson Plan
Curated OER

Population: Logistically Speaking

For Teachers Higher Ed
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
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Worksheet
Helping with Math

Solving Equations with Two-Stepping! (4 of 4)

For Students 6th - 8th Standards
Here are 12 two-step algebraic equations to be solved. The first problem is completed as an example to your class, but the remaining can be worked right on the page. An answer key is available by clicking on a small box at the top of the...
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Worksheet
Curated OER

Inverse Functions 8-8

For Students 9th - 10th
In this inverse function worksheet, students find the inverse function of given values. This two-page worksheet contains 12 multi-step problems.
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Lesson Plan
Curated OER

Coffee: Differential Equation

For Teachers Higher Ed
In this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.
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Lesson Plan
Curated OER

Worksheet - Chapter 1, 2 Combinations

For Teachers Higher Ed
In this combination worksheet, pupils draw Venn Diagrams, they determine the number of combinations of a particular event using tree diagrams or the fundamental counting principle. This one-page worksheet contains approximately eight...
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Worksheet
Curated OER

Matrices

For Students 9th - 10th
In this calculus worksheet, learners practice solving equations of area and integrals. There are 14 multi-step problems.
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Worksheet
Curated OER

Numerical Analysis: Nonlinear Equations

For Students Higher Ed
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
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Worksheet
Curated OER

The Little Prince and his Pendulum

For Students Higher Ed
In this function worksheet, students read a fairy tale about a prince on a tiny planet. They explore the length of a pendulum and gravitational acceleration. Students use the multi-variable change rule to compute the rate of change. ...
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Worksheet
Curated OER

Numerical Analysis: Polynomial Interpolation

For Students Higher Ed
In this polynomial worksheet, students find interpolating functions that can be expressed as a linear combination of basis functions. This four-page worksheet contains five multi-step problems.
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Worksheet
Curated OER

Application of Differentiation: Optimization

For Students Higher Ed
In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
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Worksheet
Curated OER

Primes and Triples

For Students 12th - Higher Ed
In this primes instructional activity, students list three triples that are generated by formulas. They explain how to generate these formulas and discuss the Pythagorean Triples. This one-page instructional activity contains one...
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Worksheet
Curated OER

Order of Operations

For Students 5th - 7th
In this order of operations practice worksheet, students use their problems solving skills to solve 20 multi-step problems according to the order of operations.
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Lesson Plan
Curated OER

Order of Operations 6

For Teachers 6th - 8th
In this order of operations practice worksheet, students use their problems solving skills to solve 20 multi-step problems according to the order of operations.
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Worksheet
Curated OER

Ratio and Proportion: Write and Interpret

For Students 8th - 10th
In this ratio and proportion worksheet, students explore example problems. Afterwards, they read story problems and use ratios and proportions to find the solution. This three-page worksheet contains six multi-step problems,
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Worksheet
Curated OER

Local Linearity and the Microscope Approximation

For Students Higher Ed
For this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
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Worksheet
Curated OER

Rotation of Tasks for Solving Linear Equations

For Students 9th - 10th
In this linear systems worksheet, students solve systems of equations using three different methods: substitution, adding and subtracting, and graphing. This two-page worksheet contains three multi-step problems.
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Worksheet
Curated OER

Complex Analysis: Rectangular Form

For Students Higher Ed
For this rectangular form worksheet, students write numbers in rectangular form. They solve complex numbers, and find the value of a function. This two-page worksheet contains approximately 12 multi-step problems.
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Worksheet
Curated OER

Population Models and Qualitative Analysis, Part 2

For Students Higher Ed
In this population model learning exercise, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions over...