Difference Quotient Teacher Resources
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Showing 1 - 20 of 30 resources
Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change
Pupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric difference quotients to approximate instantaneous rate of changes.
9th - 12th Math 3 Views 17 Downloads CCSS: Designed
Local Linearity, Differentiability, and Limits of Difference Quotients
Students explore the local linearity of several functions at different points. They investigate the local linearity given a function and a point and then connect that notion with the function's differentiability at that point.
10th - 12th Math 3 Views 5 Downloads
Functions and Derivatives
Students derive functions given a limit. In this calculus lesson, student define the derivative of f at x=a, knowing the derivative is a point or just a number. This assignment requires students to work independently as much as possible.
11th - 12th Math 4 Views 22 Downloads
Investigation the Derivatives of Some Common Functions
Students investigate the derivative of a function. In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions. The lesson promotes the idea of the derivative as a function and uses numerical and graphical investigations to form conjectures about common derivative formulas.
9th - 12th Math 3 Views 14 Downloads CCSS: Designed
Here is one lesson on interpreting algebraic expressions. Pupils evaluate expressions given an input, play a game in cooperative groups, match algebraic expressions to their quantity in context, and participate in a group discussion. The plan concretely connects the abstract expressions of Algebra to real-life situations.
8th - 9th Math 20 Views 13 Downloads CCSS: Designed
Strategies for Solving Problems
Students develop strategies for solving problem situations. In this "actions" for problem situations lesson, students examine each operation (addition, subtraction, multiplication, and division) for further understanding. Then by using act it out, mental images, making models, and drawing pictures to represent "actions" in problem situations, students determine the operation needed for solution.
4th - 6th Math 99 Views 313 Downloads
Internet Phone Subscribers Soar
High schoolers investigate logistic models by making a scatter plot of internet phone users over 5 years. They find a logistic model that fits their data and then discuss what the instantaneous rate of change means in the context of the problem.
11th - 12th Math 3 Views 30 Downloads
Using Math Virtual Manipulatives
Virtual math manipulatives are tools designed to help pupils understand mathematical concepts. Sixth graders will use a manipulative called Laser Beams to practice estimating to find sums, differences, quotients, and products. This is fine as a way to practice a skill, but it is inadequate as a mode of teaching.
6th Math 3 Views 4 Downloads
Motion of Related Objects - Introducing Related Rates
Young scholars explore the concept of related rates. For this related rates lesson, students collect data about the position of a ball as it is dropped and the shadow of the ball. Young scholars calculate the rates of the ball position v.
10th - 12th Math 9 Views 26 Downloads
Functions and Velocity
Students calculate the velocity of object as they land or take off. In this calculus instructional activity, students are taught how to find the velocity based on the derivative. They graph a picture the represent the scenario and solve for the velocity.
9th - 11th Math 3 Views 8 Downloads
Partial Derivatives for a Function of Two Variables
In this partial derivatives worksheet, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four multivariable derivatives.
Higher Ed Math 3 Views 2 Downloads
Graph And Their Derived Function
Students analyze graphs and determine their general shape. In this calculus lesson, students solve functions by taking the derivative, sketch tangent lines and estimate the slope of the line using the derivative. They graph and analyze their answers.
10th - 12th Math 4 Views 25 Downloads
Derivatives: Instantaneous Rate of Change
Students explore the concept of derivatives. In this derivatives lesson, students find the derivatives of the cosine function on the Ti-Nspire. Students use the definition of derivative to find the derivative of the cosine function as h approaches zero.
11th - 12th Math 3 Views 12 Downloads
In this college level algebra worksheet, pupils determine the domain and range of a function, determine the average rate of change given an interval and the function, and graph a polynomial function. The two-page worksheet contains four questions.
11th - Higher Ed Math 3 Views 35 Downloads