Curated OER
Solar Kit Lesson # 12 - Calibration Curve for a Radiation Meter
Scientists need to have mastered algebraic slope-intercept concepts in order for this lesson to be effective. They will measure and graph solar panel output as a function of the amount of radiation striking it, discovering that there is...
Curated OER
Stars and Slopes
More of a math lesson than physics or space science, high schoolers take a set of data and plot it on a log-log coordinate system. The write-up for day two was never completed, but day one, "Stars and Slopes," is complex and cohesive....
College Board
AP Calculus: Slope Fields
Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...
Balanced Assessment
On Averages and Curves
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
Curated OER
Why Is a Demand Curve Downsloping? The Law of Diminishing Marginal Utility
Challenge your class with this economy activity. Learners plot information on a demand curve, fill in a table of marginal utility, solve problems, and answer questions.
Curated OER
Rates and Slopes: An Astronomical Perspective
In this rates and slopes worksheet, students solve 2 problems where they find the rate corresponding to the speed of the galaxies in a Hubble diagram for galaxies and they calculate the rate of the sunspot number change between indicated...
Curated OER
10-7-09 Quiz: Slope and Area
In this slope and area worksheet, students solve 2 short answer multi-step problems. Students determine the length of a wire given dimensions of a rectangle. Students find the slope of a line through a point on a curve.
Curated OER
Slope Fields
Students create and analyze slope fields. For this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
Curated OER
Mathematical Modeling
Study various types of mathematical models in this math lesson plan. Learners calculate the slope to determine the risk in a situation described. They respond to a number of questions and analyze their statistical data. Then, they...
Curated OER
Slope Field Solutions
In this slope field worksheet, students draw possible solution curves to a differential equation. Three problems are provided on this on-page worksheet.
Curated OER
Slope Field Matching
In this slope field worksheet, students match the slope field with the matching differential equation. They sketch possible solution curves to match given initial conditions. This two-page worksheet contains approximately 14 problems.
Curated OER
The Slope of Land in Your Community
Students participate in finding the slope of a sand pile and then other materials. In this geology lesson, students describe what happens to the piles of materials when they are poured through a funnel. Students measure the slope using a...
College Board
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
Curated OER
The Slope of a Curve
Students graph the slopes of a line using the intercepts. In this precalculus lesson, students identify the properties of a curve slope. They find the limit and use a graping calculator to graph their lines.
Curated OER
Surfing the Waves
Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...
Curated OER
Interesting Properties of Cubic Functions to Discover Graphically or Numerically
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function. They...
Curated OER
Scientists Track the Rising Tide
In this tracking the rising tide worksheet, students use the data in a graph showing the seal level change versus time from 1900 to 2000 to answer 3 questions about the rising tides. Students determine the slope of a line drawn from 1920...
Concord Consortium
Shooting Arrows through a Hoop
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
Curated OER
Curve Sketching Review Worksheet
In this curve sketching activity, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
Curated OER
Slope of Line
In this algebra worksheet, students calculate the slope of a line. They graph a linear equation given the slope and y-intercept and identify the slope and y-intercept given a linear graph. There are 15 questions.
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
College Board
2005 AP® Calculus AB Free-Response Questions Form B
Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.
College Board
2004 AP® Calculus AB Free-Response Questions Form B
The test is not all about skills. The six free-response questions contain two real-world application problems. Those items deal with populations and velocities. The other four questions ask pupils to show their knowledge of calculus...
Curated OER
Worksheet 14
In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.