Interactive
CK-12 Foundation

Solving Problems by Factoring: Building a Doghouse

For Students 8th - 10th Standards
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
Activity
101 Questions

Square Partitions

For Teachers 6th - 8th Standards
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...
AP Test Prep
College Board

1998 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a peek into the exam. Released items from the Calculus AB exam provide pupils insight into how questions appear on the exam. The six questions range from finding the area under a curve and the volume of the revolution to working...
Performance
Radford University

Maximizing Light Through a Window

For Teachers 9th - 12th Standards
Let there be plenty of light. For a perimeter of 10 feet, scholars determine the maximum area of a window composed of a rectangle and a semicircle. They draw diagrams and then write and solve equations to find the height and radius for...
Lesson Plan
Curated OER

Matter and Motion 3

For Teachers 11th - Higher Ed
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
Lesson Plan
1
1
Teach Engineering

Graphing Equations on the Cartesian Plane: Slope

For Teachers 7th - 9th Standards
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...
Interactive
McGraw Hill

Kepler's Second Law Interactive

For Students 9th - Higher Ed
Kepler decided to think outside the box and discovered that planets orbit in elliptical patterns. An engaging activity demonstrates the elliptical orbit pattern in relationship to the area of a planet to explain Kepler's Second Law....
Lesson Plan
Curated OER

Linear/Planar Geometry - Week 5

For Teachers 12th - Higher Ed
In this plane geometry worksheet, students combine the basis of plane geometry and linear problems to solve problems. They determine total surface area, the length of a line, and the sum of the edges of a three-dimensional figure. This...
Worksheet
Curated OER

The Farmer's Problem

For Students 7th - 10th
In this farmer's problem, students determine the maximum area that can be enclosed under given circumstances.  This one-page worksheet contains 1 problem.  The answer is provided.
Lesson Plan
Curated OER

Solving Systems by the Elimination Method

For Teachers 9th - 12th Standards
Pupils solve equations by elimination and use the TI to graph the lines and find the point of intersection.
Worksheet
Curated OER

Math 53 - Midterm 1 Review

For Students 11th - Higher Ed
In this math activity, students eliminate the parameter to find a Cartesian equation of the curve given by the parametric equations.
Worksheet
Curated OER

Math 53 - Review for Midterm 1

For Students Higher Ed
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
Lesson Plan
Curated OER

Earthquakes

For Teachers 8th
Eighth graders demonstrate the mathematical components of a scientific problem as well as illustrate how real world problems can be solved using math. They demonstrate math skills such as rate calculation, graphing, and linear equations.
Lesson Plan
Curated OER

Solving Algebraic Expressions

For Teachers 7th - 8th
Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
Lesson Plan
Curated OER

The Calculus Whiz Who Owned a Box Company

For Teachers 10th - 12th
Learners use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
Lesson Plan
Texas Instruments

Exploring Quadratics in Factored Form

For Teachers 9th - 12th Standards
Young mathematicians explore quadratics equations in this instructional activity. They investigate the relationship between the standard form and factored form of quadratic equations. Learners then examine the relationship between the...
Lesson Plan
Curated OER

Picture Frames and Algebra

For Teachers 8th - 9th
Learners evaluate the area of a picture frame and write algebraic representations. In this algebra lesson, students work in groups to find the area of different picture frames.  Learners then write algebraic expressions and present...
Lesson Plan
Curated OER

Algebra Match

For Teachers 12th
Twelfth graders identify the parts of an algebraic equation. They consider the many uses of algebra in daily life. They play a game, Algebra Match, where student pairs work to solve equations listed on index cards.
Worksheet
Curated OER

Functions

For Students 10th
In this functions worksheet, 10th graders solve and complete 6 different types of problems. First, they find the largest value of a given function. Then, students determine the values of the constants a, b, c, dso that the curve is a...
Worksheet
Curated OER

Linear - Quadratic Systems

For Students 10th - 11th
In this quadratic system worksheet, students solve systems of linear equations. This one-page worksheet contains two story problems where students write their own system of equations and then solve. The remaining eight problems are...
Lesson Plan
Pennsylvania Department of Education

Adding and Subtracting Rational Numbers to Solve Problems

For Teachers 9th - 12th
Students explore the concept of probability.  In this probability instructional activity, students use area to determine probability.  Students use charts and spinners to help determine the probability of events such as...
Lesson Plan
Curated OER

Systems and Applications

For Teachers 11th
In this algebra worksheet, 11th graders solve 14 systems of equations using substitution or elimination and 14 word problems.
Lesson Plan
Curated OER

Connecting Algebraic Reasoning to Models

For Teachers 5th - 6th
Students analyze relating a model to an algebraic equation and visa versa. Patterns are reviewed in detail and then in pairs new models are created and then translated into a word problem or equation. They illustrate their models on...
Worksheet
Curated OER

Using Scientific Notation

For Students 8th - 10th
In this scientific notation activity, students practice calculating area, speed, and volume being sure to write the answers in correct scientific notation. Students complete 11 problems.

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