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The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
Students discuss the importance of fundamental theorems in math. In this calculus lesson plan, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how...
Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
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"A Slice of the Cone"

For Teachers 9th - 11th
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
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Related Rates

For Teachers 12th
Twelfth graders rewrite word problems using equations. In this calculus lesson, 12th graders solve real world situation using the derivative. They solve problems on rate, and distance.
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Rectilinear Motion

For Teachers 12th
Twelfth graders rewrite word problems using algebraic expressions. In this calculus lesson, 12th graders calculate the velocity, time and acceleration while analyzing real life scenarios. They solve problems related to when the...
Lesson Plan
Curated OER

Total Distance versus Displacement

For Teachers 12th
Twelfth graders differentiate between total distance and displacement. In this calculus lesson, 12th graders rewrite word problems using calculus terminology and solve for distance in miles per hour. They analyze and solve word...
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Related Rates

For Teachers 12th - Higher Ed
Twelfth graders solve problems using related rates. For this calculus lesson, the students solve word problems following 8 different key steps. They solve 4 problems related to the real world.
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The Football Kick An Application of Parametric Equations

For Teachers 12th
Twelfth graders define parametric equations and take the derivative of parametric equations. In this calculus lesson, 12th graders solve word problems using parametric equations to find x,y and z. They observe graphics and complete...
Lesson Plan
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The Definite integral and Area Under a Curve

For Teachers 11th - 12th
Students define integrals and explore how they relate to the areas under a curve. In this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area under...
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Average Value of a Function

For Teachers 11th - 12th
Students investigate the average value of a function given different interval values. In this calculus lesson, students explore word problems and apply their knowledge of average value to find the answer. They apply previous knowledge to...
Lesson Plan
Curated OER

Highs and Lows

For Teachers 8th - 11th
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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Enumeration

For Teachers 8th - 11th
In this calculus lesson, young scholars review counting using the principles of Enumeration. They use random selections to count and convert word problems and count. There are 21 problems with an answer key.
Lesson Plan
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Related Rates

For Teachers 12th
Twelfth graders define and investigate problems involving rates. In this calculus activity, 12th graders complete worksheets with word problems dealing with related rates, distance and time. They complete review problems on the board...
Lesson Plan
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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...
Lesson Plan
West Contra Costa Unified School District

Particle Motion

For Teachers 11th - Higher Ed Standards
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
Lesson Plan
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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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Optimization

For Teachers 9th - 12th Standards
Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
Lesson Plan
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The Spread of Disease with Differential Equations

For Teachers 12th
Twelfth graders solve problems using differential equations.  In this Calculus lesson, 12th graders analyze data regarding the spread of a flu virus.  Students use the symbolic capacity of the TI-89 to develop a model and...
Lesson Plan
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Mathematices: Pre-Calculus

For Teachers 11th - 12th
Students relate polynomials to real life situations. In this algebra lesson, students graph equations through modeling and data collection. They must be comfortable doing word problems.
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Decode Word Is..

For Teachers 8th - 10th
Students solve problems using patterns. In this algebra lesson, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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Angles in Standard Positions

For Teachers 9th - 11th
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
Lesson Plan
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Mathematics Lesson for Grade 12

For Teachers 12th
Twelfth graders examine multiple aspects of statistics. In this mathematical reasoning lesson, 12th graders solve problems on probability, logarithms, exponential relationships and transforming rectilinear shapes. This resource contains...
Lesson Plan
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Making Movies

For Teachers 7th - 12th
Young scholars use interactive white boards to solve math problems. In this math problems lesson plan, students produce math casts where they can solve problems, write out descriptions, and communicate what they know and do not know on...
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The Right Angle

For Teachers 9th - 11th
In this algebra worksheet, students rewrite word problems using an algebraic equation to find the answer. There are 14 questions with an answer key.

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