CK-12 Foundation
Normal Approximation of the Binomials Distribution: When to Approximate
Normalizing a binomial distribution — determine when it is all right. Given the rule of thumb of when it is appropriate to use the normal distribution to approximate a binomial distribution, pupils look at different scenarios. Scholars...
CK-12 Foundation
Trapezoidal and Midpoint Approximations: Area of a Skirt
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Flipped Math
Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
Flipped Math
Calculus AB/BC - Approximating Areas with Riemann Sums
There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...
Curated OER
Number: Rounding Off and Approximating
Young mathematicians access a website that leads them through three activities that enable them to practice their rounding and estimation skills when it comes to numbers and math word problems. There is also a very good worksheet...
Curated OER
Successive Approximations and Euler's Method
In this Euler's method worksheet, students compute the successive approximations for a given function. They compute the piecewise linear function to produce the approximation to the solution of the initial value problem. This four-page...
Curated OER
Approximate Answers by Rounding
In this rounding off worksheet, students calculate the approximate answers for 10 addition, division or subtraction math problems, questions and/or statements.
Curated OER
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...
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Curated OER
Approximating Measures
Fourth graders complete a worksheet about approximate measurements. In this instructional activity on approximation, 4th graders compare the wingspan of a given bird to the wingspan of other birds and classroom objects.
Kenan Fellows
Man vs. Beast: Approximating Derivatives using Human and Animal Movement
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
CK-12 Foundation
Newton's Method
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...
CK-12 Foundation
Newton's Method
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
Curated OER
Approximating Pi
Students approximate Pi using the lower and upper bound for the constant. In this algebra instructional activity, students work in groups of two to graph a circle and approximate Pi using the circumference. They repeat their estimation...
Curated OER
Approximate Answers By Rounding (pg. 1)
In this rounding number worksheet, students pick the best approximation using rounding for 4 equations, work out approximate answers for the sums by rounding to the nearest thousand in 5 problems and answer 3 place value rounding word...
Curated OER
Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
Curated OER
Building Tolerance for Poverty in Math
Students explore approximate and exact solutions. In this interdisciplinary lesson, 6th graders will be placed in 'family groups' to create a budget that is subject to random events as chosen from the 'things happen' box. This lesson...
Curated OER
Newton's Method
Student approximate the roots of E using Newtons Method. In this calculus lesson, young scholars calculate the equation of tangent a line. They use the TI to visualize the tangent line.
Curated OER
Approximating a Multivariable Function
In this math worksheet, learners practice approximating the multivariable functions. They also complete the two problems in the form of a quiz.
Curated OER
Setting Up Definite Integrals Using Local Approximations First
In this math worksheet, students practice solving the problems concerning the use of integrals. They focus upon using local approximations first for the word problems.
Curated OER
Ordering Rational Numbers and Finding Their Approximate
Middle schoolers explore the concept of ordering rational numbers on a number line. They represent rational numbers as decimals and percents. Pupils create a foldable about converting fractions to decimals to percents, and use a...
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