EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 3)
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
Concord Consortium
Going Up
Going on up—and up and up! An open-ended task asks learners to model the movement of an amusement ride with parametric equations. They then analyze their equations to determine how the shadow of the ride's car moves as it rises at a...
Curated OER
Taylor and Maclaurin Series
In this Taylor and Maclaurin series worksheet, students answer 10 questions about Taylor and Maclaurin series. Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
NASA
The Lunar Lander – Ascending from the Moon
What angle? Groups determine the height of the lunar lander as it ascends from the surface of the moon and calculate the angle of elevation of the lunar lander at specific times and distances. The provided series of questions lead the...
EngageNY
One-Step Equations—Multiplication and Division
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
Curated OER
Review for Test
Twelfth graders review logs and derivatives in preparation for their test. In this calculus lesson, 12th graders review inverse functions, log functions, derivatives of implicity and the three definitions of e. They prove derivatives...
Curated OER
Challenge Discussion Sheet 10: Limits
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
Curated OER
AP Calculus Exam
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
Curated OER
Kepler's 3rd Law
Students derive the velocity in a circular orbit of any radius. They derive the Earth escape velocity and prove Kepler's 3rd law for circular orbits # A simple formula for the orbital period in a circular Earth orbit of given radius.
Curated OER
Kepler's Third Law
Students use Kepler's third law to derive the velocity in a circular orbit of any radius, and identify the Earth escape velocity.
EngageNY
Unknown Angles
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include basic...
EngageNY
Building Logarithmic Tables
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the lesson has scholars use given...
EngageNY
Solving Exponential Equations
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
EngageNY
Why Were Logarithms Developed?
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
Curated OER
Computing Indefinite Integrals
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
Curated OER
Identities and Trigonometric Values
Young scholars solve trigonometric equations. In this precalculus instructional activity, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different...
Curated OER
Newton's Theory of Universal Gravitation
Students explore how Newton tied together the gravity observed on Earth and the motion of the Moon. They apply an earlier lesson about centripetal forces.