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...
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...
Flipped Math
Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...
Curated OER
Juggling Slopes
Students identify the slope of a line. In this algebra lesson, students label slopes as positive, negative, zero or undefined. They use the slope formula to find the slope algebraically and graphically.
Curated OER
Graphing Linear Equations and Slopes
Students explore linear equations, parallel lines, perpendicular lines and slopes. Using computers with graphic calculators and word processing, students examine the relationship between the slopes of perpendicular lines and parallel...
Curated OER
Slope & Rate of Change
This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....
Curated OER
Exploring the Slopes of Parallel and Perpendicular Lines
Young scholars calculate the slope of parallel and perpendicular lines.In this algebra lesson, students differentiate between parallel and perpendicular lines. They graph their lines using the slope of the equation.
Curated OER
Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with the...
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.
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.
Flipped Math
Calculus AB/BC - The Power Rule
There has to be a quicker way. Pupils learn the power rule that allows for a shortcut to take the derivative of terms to a power. Using the newly found rule, scholars find the slope of the tangent line to a function at a given x value....
Curated OER
Rate of Change Graphically
Young scholars calculate the rate of change. In this algebra lesson, students identify the slope and discuss the different properties of lines as they relate to rate. A discuss doubling time, zero slope and being in two places at once.
Willow Tree
Graphing
So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...
Curated OER
Plugging Into The Best Price
Examine data and graph solutions on a coordinate plane with this algebra lesson. Young problem-solvers identify the effect of the slope on the steepness of the line. They use the TI to graph and analyze linear equations.
Curated OER
Solving Systems of Linear Equations Graphically
Students solve systems of equations graphically. For this algebra lesson, 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.
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
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...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative....
Mathematics Assessment Project
College and Career Readiness Mathematics Test C1
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
PBL Pathways
College Costs 2
What is the financial benefit for attending a community college for the first two years before transferring to a four-year college? The second part of the educational lesson asks young scholars to explore this question through data...
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...
Curated OER
Equal Differences Over Equal Intervals 1
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover the...
Curated OER
Compound Inequalities and Graphing
Put geometry skills to the test! Learners solve compound inequalities and then graph the inequalities on a coordinate plane using their geometric skills. They identify the slope and y-intercept in order to graph correctly. I like this...