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Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
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Epidemic or False Alert?
In this rate worksheet, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page worksheet contains...
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Worksheet 24 - Fall 1995
In this math instructional activity, 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.
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The Ocean Floor - Science
Students draw a quick plan of an ocean floor as seen from the side; including the edge of a continent, a continental shelf, a continental slope, a basin, a trench, and a range. They require their definitions to do this.
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Mobile vs. Money
Learners research the internet and use the information they find to plot straight line graphs. They use graphs to make comparisons of the various packages offered. Students interpret graphs and solve problems based on varying parameters.
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Coffee: Differential Equation
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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Linear Quadratic Systems
In this linear quadratic system instructional activity, students explore a system with a linear and a quadratic equation. With the given equations, students graph the parabola. They identify the axis of symmetry, the slope, points of...
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Nine Quadrilateral Problems Involving Angle Measures and Classification
In this quadrilaterals worksheet, students calculate the measure of angles in five parallelograms, name a quadrilateral, and find values of given variables in three diagrams. The solutions are provided.
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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.
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The Extraordinary Life of the Alaskan Tundra
Pupils investigate the characteristics of the tundra on the North Slope of Alaska. They conduct Internet research, develop a chart of the types of vegetation, plant growth, and fauna found on the tundra, identify examples in their own...
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Binary Numbers
In this algebra learning exercise, students perform binary addition, subtraction and division to find the binary base for decimals between 0-31. There are 31 questions.
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Higher Order Taylor Polynomials
In this polynomial activity, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
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Solving Systems of Linear Equations Graphically
Students solve systems of equations graphically. In this algebra lesson plan, students find the point of intersection of two lines if they are not parallel. They rewrite the equation in the y=mx + b form and graph using slope and intercept.
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Troublesome Towers
Students observe solids and identify parts that make up the surface area. In this geometry lesson, students calculate the surface are of solids and cones. They find polygons and solids in the real world.
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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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Population Models and Qualitative Analysis, Part 2
In this population model instructional activity, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions...
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Topic 7.5 - Hyperbolas
In this hyperbola learning exercise, students analyze 2 graphs of hyperbolas and write the equation for each. They then answer 5 questions in which they analyze an equation and write the coordinates of the vertices, coordinates of the...
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Problem Solving: Graphing Functions
In this graphing functions worksheet, students solve 6 word problems, finding ordered pairs, missing coordinates and numbers, slopes of lines and functions.
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Coordinates and Equations
In this algebra worksheet, students solve linear equations and plot their results on the coordinate plane. There are 20 problems using slopes and intercepts to help graph linear equations.
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Graphing Linear Equations on the TI
Young scholars graph linear equations on the TI calculator. In this algebra lesson, students rewrite equations in the slope intercept form and use the calculator to graph their problem. They work together to interpret the graphs off of...
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Diagonals to Quadrilaterals II
Learners identify the properties of different polygons. In this geometry lesson, students find the slope of a line and calculate the distance between two lines. They differentiate between similar and congruent polygons.
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Graphing Linear Equations
Students graph linear equations. For this algebra lesson, students perform transformation on linear equations. They identify the slope and y-intercept of each line.
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Discovering The Ratio Pi And The Diameter
Students relate the ratio of Pi to the diameter of a circle. In this geometry lesson, students investigate the relationship of the chord of the circle the the number Pi. They define ration, chord, circumference and diameter and find...
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This Building is Tall
High schoolers calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
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