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Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Assessment
Inside Mathematics

Aaron's Designs

For Teachers 8th Standards
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
Assessment
Inside Mathematics

Rugs

For Teachers 8th Standards
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
Assessment
Inside Mathematics

Rhombuses

For Teachers 9th - 12th Standards
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Lesson Plan
Virginia Department of Education

Integers: Multiplication and Division

For Teachers 7th
Rules are meant to be broken ... but not integer multiplication and division rules. Learners use chips to model integer multiplication and division. The results of the activity help them develop integer rules for these operations.
Lesson Plan
Virginia Department of Education

Sales Tax and Tip

For Teachers 7th Standards
Don't forget to tip your server. Future consumers learn how to calculate sales taxes and tips. Pairs use actual restaurant menus to create an order and determine the total bill, including taxes and tips.
Worksheet
Curated OER

Worksheet 19

For Students 11th - Higher Ed
In this math learning exercise, students try to fit a line to a set of data. Then they use the least squares method is based on minimizing the sum of the squares of the errors.
Worksheet
Curated OER

Numerical Analysis

For Students 11th - Higher Ed
In this math worksheet, students practice converting binary numbers from one base to another. Then they read the related vocabulary definitions.
Worksheet
Curated OER

Numerical Analysis/ Floating Point Numbers and Round-O Error

For Students 12th - Higher Ed
In this math learning exercise, students examine the examples using the concepts of floating point numbers and round off error. Then they compute the data for the given functions.
Worksheet
Curated OER

Riemann Sums and Error Stacks

For Students Higher Ed
In this Riemann sums learning exercise, students use accumulation to find the estimate for the area of a given shape. Students use Riemann sums to estimate the area under the curves and error stacks to bound the error of their...
Worksheet
Curated OER

Finding Roots and Newton's Method

For Students Higher Ed
For this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
Worksheet
Curated OER

Reviewing the First Unit

For Students Higher Ed
In this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...
Worksheet
Curated OER

Estimate Length Problems

For Students 7th
For this estimation of length worksheet, 7th graders complete 10 different problems that involve estimation of numbers. First, they solve each of the length problems shown by using the pictures. Then, students count one apple equal to...
Worksheet
Curated OER

Estimate Weight or Volume

For Students 5th
In this estimation with weight and volume worksheet, 5th graders solve and complete 6 problems that include estimating objects. First, they determine which item illustrated weighs more. Then, students determine which figure illustrated...
Worksheet
Curated OER

Estimate the Number of Objects

For Students 7th
For this estimating the number of objects worksheet, 7th graders complete 12 different problems that include estimation of numbers. First, they guess how many of each object there is in each problem. Then, students check their work by...
Worksheet
Curated OER

Calculator

For Students 4th
In this mathematical calculations learning exercise, 4th graders complete 12 multiplication problems by using a calculator. Students also develop an estimate for these problems.
Worksheet
Curated OER

Lab 3: Length as an Application of Integration

For Students Higher Ed
In this integration worksheet, students graph a function that is a quarter circle curve. They calculate lengths of curves by approximation using the distance formula. Students use a computer program to calculate the approximation of the...
Worksheet
Curated OER

Reasonable Answers

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

Equal Estimates- Decimals

For Students 3rd - 5th
In this decimal estimation worksheet, 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

Standard Numerical Quadrature

For Students 11th - Higher Ed
For this math worksheet, students explore the concept of numerical quadrature by reading the definition. Students sketch an approximation for the trapezoid.
Worksheet
Curated OER

Numerical Integration

For Students 11th - Higher Ed
In this math worksheet, students practice using the concept of numerical integration. They also practice the approximation for the unit circle.
Worksheet
Curated OER

Multivariable Calculus: The Gradient

For Students Higher Ed
In this gradient worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...
Worksheet
Curated OER

Multivariable Calculus: The Jacobian Matrix

For Students Higher Ed
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.
Worksheet
Curated OER

Riemann Sums and the Definite Integral

For Students Higher Ed
For this integral worksheet, students use Riemann sums to estimate their answers. They answer story (or word) problems about distance/speed. Students are given a defined interval and use the Riemann sum to find the endpoints of the...

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