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CK-12 Foundation
Solving Problems by Factoring: Building a Doghouse
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...
101 Questions
Square Partitions
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...
College Board
1998 AP® Calculus AB Free-Response Questions
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...
Radford University
Maximizing Light Through a Window
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...
Curated OER
Matter and Motion 3
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...
Teach Engineering
Graphing Equations on the Cartesian Plane: Slope
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...
McGraw Hill
Kepler's Second Law Interactive
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....
Curated OER
Linear/Planar Geometry - Week 5
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...
Curated OER
The Farmer's Problem
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.
Curated OER
Solving Systems by the Elimination Method
Pupils solve equations by elimination and use the TI to graph the lines and find the point of intersection.
Curated OER
Math 53 - Midterm 1 Review
In this math activity, students eliminate the parameter to find a Cartesian equation of the curve given by the parametric equations.
Curated OER
Math 53 - Review for Midterm 1
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.
Curated OER
Earthquakes
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.
Curated OER
Solving Algebraic Expressions
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.
Curated OER
The Calculus Whiz Who Owned a Box Company
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.
Texas Instruments
Exploring Quadratics in Factored Form
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...
Curated OER
Picture Frames and Algebra
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...
Curated OER
Algebra Match
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.
Curated OER
Functions
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...
Curated OER
Linear - Quadratic Systems
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...
Pennsylvania Department of Education
Adding and Subtracting Rational Numbers to Solve Problems
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...
Curated OER
Systems and Applications
In this algebra worksheet, 11th graders solve 14 systems of equations using substitution or elimination and 14 word problems.
Curated OER
Connecting Algebraic Reasoning to Models
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...
Curated OER
Using Scientific Notation
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.