Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
Curated OER
Worksheet 24 - Fall 1995
In this math worksheet, students find an equation of a curve such that the slope at the point (x, y) on the curve is 3x2 +2 and (−1, 1) is a point on the curve.
Curated OER
Slope Fields
Students sketch a slope field for a given differential equation, given a slope field. They also match a slope field to a differential equation and match a slope field to a solution of a differential equation. Finally, students use a...
Curated OER
A.P. Calculus Integration Test
For this A.P. Calculus worksheet, learners complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields. Some of the problems are multiple choice, while others are...
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Curated OER
EOC Review G
In this end of course review, students factor expressions, interpret statistic problems, and identify the maximum and minimum of equations. This two-page worksheet contains 5 multi-step problems.
Curated OER
Mini Examination #2 - Limits and Derivatives
In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions. Students find the limits and derivatives of functions.
Curated OER
Slow Down - Speed Up
Pupils explore the concept of distance and time as they use a CBR to mimic distance v. time graphs. Learners walk towards and away from the monitor to create various distance v. time graphs, then discuss what motion creates certain graphs.
Curated OER
Calculus 3.6 - The Chain Rule
Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule. He shows step by step ways to solve these...
Curated OER
Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
Balanced Assessment
Catenary
Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close their...
Curated OER
Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
Texas Instruments
Logistic Growth, Differential Equations, Slope Fields
Investigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.
Curated OER
Worksheet 17: Writing Equations
In this equations worksheet, students graph the curve represented by pairs of parametric equations. They determine the slope of the line tangent to a given graph. Students find the area region lying under the curve. This two-page...
Curated OER
Stars and Slopes
Students use the slopes of various curves plotted on log-log graph paper to classify stellar objects as binary stars, supernovae, or active galaxies.The data used in this instructional activity were obtained from X-ray astronomy satellites.
Council for Economic Education
A Lesson on the Supply and Demand of Toy Fads
Let's all Hula Hoop! Scholars research the supply and demand side of toy fads in the United States. They analyze video clips and news articles to complete graphs on how the supply curve slope works in concert with the demand for products...
Curated OER
Computing Indefinite Integrals
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
Curated OER
Microeconomics Study Guide, Part I
In this economics worksheet, students respond to 38 short answer questions regarding the economic laws of supply and demand and market structure.
Curated OER
Mechanical Monsters
Young scholars experiment try to build a Lego car. For this physical science lesson students present and demonstrate the vehicle that they constructed.
Virginia Department of Education
Linear Modeling
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
Cornell University
Math Is Malleable?
Learn about polymers while playing with shrinky dinks. Young scholars create a shrinky dink design, bake it, and then record the area, volume, and thickness over time. They model the data using a graph and highlight the key features of...
Curated OER
Worksheet Two
In this math worksheet, students solve differential equations. Students use similar equations, and analyze ways they differ from one another. Students draw directional fields and sketch solutions. The final three questions are...
Curated OER
Intro to Derivatives
In this calculus worksheet, students find the line tangent to a curve using the derivative. They graph the slope and identify the line of tangency. There are 6 questions.
Curated OER
Watch Out for Landslides
Students conduct an experiment. In this landslides lesson, students learn about landslides and discuss how they could minimize the risk of landslides. Students complete an experiment to see if changing the slope of the land helps...