EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
Curated OER
Worksheet 12: Functions
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
Curated OER
Four Matrix, Eigenvalue, and Eigenvector Problems
In this matrix worksheet, learners solve a system of differential equations, find eigenvalues and eigenvector in two problems, and solve a word problem using a system.
Curated OER
Euler's Method Introduction
Young mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.
Curated OER
Slope Fields
Learners create and analyze slope fields. In this calculus instructional activity, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
Curated OER
Graphing Equations
Students differentiate between linear and quadratic functions. In this algebra lesson plan, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
Curated OER
Representation of Quadratic Functions
Students use a table, graph or equation to represent a quadratic function. In this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
Curated OER
Standard Linear Form
Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...
Curated OER
Whose Line is it Anyway?
Students solve systems of equations. In this algebra lesson, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.
Curated OER
Euler Encore 1
In this math worksheet, students use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given rectangles and...
Curated OER
Differentials
Students engage in a lesson that is about finding the differentials of an equation. They practice computing the differential and apply them to obtaining the approximations for cube roots. The lesson includes examples for the teacher to...
Alabama Learning Exchange
Solving Formulas for the Given Variable
Recycle, reuse, and rearrange! Young scholars learn to rearrange formulas to highlight a variable of interest. They then use their new formulas to make calculations.
EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Scholastic
Adding and Subtracting Ten
Developing fluency with basic addition and subtraction is fundamental to the success of all young mathematicians. This four-day lesson series begins with learners using ten-frames and hundreds charts to recognize patterns when adding and...
Virginia Department of Education
Quadratic Curve of Best Fit
Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.
Curated OER
Review for Test on Derivatives.
Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...
Texas Instruments
Cylindrical Soda Can
Young scholars explore an application of differentiation in this calculus lesson. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has the...
Curated OER
Slope Fields
Twelfth graders define and sketch slope fields. In this calculus lesson, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check their work for the right...
Curated OER
Implicit Differentiation
Students define and use implicit differentiation to solve equations. In this calculus lesson plan, students take the derivative implicitly to find x and y values. They apply this knowledge to real life scenarios.
Curated OER
Differential Equations and Population Growth
Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
Curated OER
Exploring Derivatives Using Lists
Learners explore lists and determine the derivative for that list. They use regressions to discover equations.