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Introduction to Mathematical Modeling
In this mathematical modeling learning exercise, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.
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Mine Shaft Grade 8 Slope
Eighth graders investigate slopes using real life scenario. For this algebra lesson, 8th graders model and interpret real life data. They plot their data in a coordinate plane and discuss the results with the class.
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Solving Systems of Equations
Students identify the quadrants and axis of a coordinate plane. In this algebra lesson, students discover the ocrrect way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and range and...
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Linear Graph
Students solve linear equations and graph the different functions. In this algebra lesson, students graph piecewise functions using the slope and y-intercept and the given restrictions on the domain of the line. They discuss rate of...
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Secant Line Approximation of the Tangent Line
Pupils perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
101 Questions
Stacking Cups
Facilitate an understanding of equality using a modeling task. After watching different-sized cups being stacked, learners use their math skills to determine when the height of each cup tower will be the same. Meant as an introduction to...
Virginia Department of Education
Middle School Mathematics Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
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Rate Equations, Slope Functions and Concavity
In this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. ...
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Computing Derivatives
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
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Solving Systems of Equations by graphing for Algebra One
Students watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...
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Determination of a Rate Law
Students determine the rate law for a chemical reaction. They use graphical techniques in the analysis of experimental data.
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Slope Calculation
Middle schoolers practice calculating the slope of a line. They explain how the formula is derived and identify properties that are associated with positive, negative and undefined slopes. They complete an online activity as well.
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Linear Functions
In this linear functions learning exercise, students problem solve and calculate the answers to five linear equations associated with volume, point-slope forms, initial value forms and slope-intercept forms.
Foundation for Water & Energy Education
How is Flowing Water an Energy Source? Activity C
Can the force of falling water through a tube vary by altering the diameter of the tube or its height? That is what physical scientists aim to discover in this activity, the third in successively more revealing activities on the power of...
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Applying Properties to Variables
Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...
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A.P. Calculus Exam Prep
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
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MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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Using Linear Models
In this Algebra II worksheet, 11th graders examine models whose behavior can be described by a linear function. The four page worksheet contains explanation of topic, three guided problems, and eight practice problems. ...
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Whose Line is it Anyway?
Students solve systems of equations. In this algebra instructional activity, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.
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Strike a Pose: Modeling in the Real World (There's Nothing to It!)
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
Alabama Learning Exchange
We Love to Graph!
Young scholars experience graphing points. For this graphing points lesson, students play an on-line game where they must name 10 coordinate pairs correctly. Young scholars play a maze game where they maneuver a robot using...
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More of U.S.
Explore graphical representation of a real-life data set and determine the exponential regression model for the data in your classroom. Students also compare the estimated value to the given value by determining the percent error.
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Fitness Day
Students develop skills and a comfort level in interpreting economic concepts through graphic analysis.
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Writing Linear Equations in Different Forms
Can your class write linear equations three different ways? Here is a study guide that includes slope-intercept, standard, and point-slope forms. Learners are given the slope and a point on the line, or two points and are asked to write...