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CK-12 Foundation
Area Sums: Estimation with Rectangles
The more rectangles, the better the estimate. Using the interactive, pupils explore estimating the area under a curve using left-hand sums. Learners respond to challenge questions on how to get better estimates using the same technique.
CK-12 Foundation
Square Roots and Irrational Numbers: Estimating Radicals
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between...
CK-12 Foundation
Distance Between Two Points: Biking the Blocks
Distance estimates would be easy if the world were a grid. Scholars work to determine the distance between two structures using a coordinate plane. As an introduction, the lesson focuses on vertical and horizontal distances.
CK-12 Foundation
Sampling Distribution of a Sample Mean: The Mean of the Average Ages
What does it mean to take the mean of the mean? An easy-to-use interactive has users adjust the mean ages of different samples. Finding the average of these sample means gives an estimate of the population mean.
CK-12 Foundation
Tangent Line Approximation: Estimating Square Roots
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
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...
CK-12 Foundation
Length of a Plane Curve
Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...
CK-12 Foundation
Multiplication and Division of Radicals: Totally Radical Dude's Height
Watch as your learners reach even loftier heights of understanding. Individuals use a slider to estimate the height of a person whose height is given in radical form. Rationalizing the denominator comes in handy here.
CK-12 Foundation
Finding Exact Trigonometric Values Using Double Angle Identities: Trig Values Using Double and Half Angle Formulas
The more you know, the more you can learn. Scholars apply the double angle and half angle formulas to determine trig values based on known values. They use an interactive that provides sine and cosine values to aid calculations.
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