Curated OER
Introducing Trigonometry
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain...
Curated OER
Investigating Transformations
In this trigonometry instructional activity, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page instructional activity contains explanation, examples, and forty-seven...
Virginia Department of Education
Atomic Structure: Periodic Table
The fifth lesson of seven in the series outlines an in-depth analysis of the periodic table. After direct instruction, pupils take turns practicing in the group before beginning independent study. The assessments include a quiz and an...
Curated OER
Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
Curated OER
Implicit Differentiation Problems
For this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.
Curated OER
Worksheet 36
For this math worksheet students find the solution u(x,y) of Laplace's equation in a given rectangle with specified boundaries. Students use the chain rule to compute values for a function and relate this answer to Laplace's equation....
Curated OER
Worksheet 38-Spring 1996
In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
Curated OER
Numerical Analysis: Introduction to Root Finding
For this introduction to root finding worksheet, students write equations to solve distance problems. They explore the bisection method of Bolzano. This four-page worksheet contains approximately ten problems.
Curated OER
Worksheet 22-Fall 1995
In this math activity, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
Curated OER
Maximum and Minimum Points
For this maximum and minimum points worksheet, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box that has...
Curated OER
Vectors
In this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that passes...
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 3
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
Concord Consortium
Line of Sight
There's no way around it—learners must use trigonometry to model the line of sight around a race track! Using the starting line as the origin, pupils model the straight line distance to any car using a trigonometric expression. The...
Mathematics Assessment Project
College and Career Readiness Mathematics Test A1
A six-page test covers content from several different high school math courses. It incorporates a few short answer, graphing, and word problems. It also allows room for mathematical reasoning and analysis.
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 2
Math can be a problem in eighth grade. Sample items show how problem solving exists within the eighth grade standards. Part of the Gr. 8 Claim 2 - 4 Item Slide Shows series, the presentation contains eight items to illustrate the...
Curated OER
Arc Length Lesson
Students find the length of the arc of a circle. In this geometry instructional activity, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and...
Curated OER
From Dust Grains to Dust Balls
In this formation of planets worksheet, students solve 6 problems including finding the equation for the mass of rocks as a function of time, finding the equation for the rate of growth of the mass of rocks and integrating these equations.
Curated OER
MuscleMania
Students learn three different types of muscles. By building a model of the arm, they learn its basic anatomy and how muscles function in relationship to bones. They perform an experiment on the relationship between muscle size and...
Curated OER
Modeling a Planetary Nebula
In this modeling a planetary nebula learning exercise, students use a diagram to calculate the intensity at different radii from the center of the nebula. Students use the Pythagorean Theorem to determine the distance between two points...
Curated OER
Estimating Maximum Cell Sizes
In this estimating cell sizes worksheet, students read about the relationship between a cell's size and the rate of cell waste diffusion. Students solve 4 problems including writing the equation for the rate of waste exchange, finding...
Curated OER
Calculus Practice BC
In this calculus worksheet, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
Curated OER
AP Calculus Practice Exam
In this calculus learning exercise, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
Curated OER
Cartesian Geometry
In this geometry worksheet, learners plot coordinate pairs and connect the points to create different shapes. They give th shapes its polygon's name. They differentiate between simple functions and rectangular hyperbola.