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Illustrative Mathematics
Trigonometric Ratios and the Pythagorean Theorem
Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...
Curated OER
The Story of the Candy Cane
In this reading comprehension instructional activity, students read about the origin of the candy maker's candy cane and color the candy canes. Students retell the story and color 1 candy cane.
Curated OER
Sin x = x/100
In this trigonometry activity students determine the number of solutions for the problem sin x = x/100. The one page activity contains one problem with solution.
Curated OER
Worksheet 25
In this math worksheet, students draw a graph of functions on a polar graphing system. They graph two functions by first plotting them on the vertical axis as a function of a given angle, then by plotting them at a radial distance from...
Prestwick House
The Kite Runner
Khaled Hosseini's The Kite Runner captivated the minds and hearts of readers when it was published in 2003. Review the key details, characters, and quotes from the novel with a straightforward crossword puzzle.
Curated OER
Functions
In this function learning exercise, students solve 4 different types of equations related to functions. First, they determine a particular solution to the low pass and plot the input and output of the same axes and compare. Then,...
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
Illustrative Mathematics
Calculations with Sine and Cosine
Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...
Illustrative Mathematics
Finding Trig Values
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the...
Illustrative Mathematics
Exploring Sinusoidal Functions
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Curated OER
Sum and Difference angle formulas
Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...
Curated OER
St. Augustine's Confessions by St. Augustine
In this online interactive reading comprehension worksheet, students respond to 13 multiple choice questions based on St. Augustine's Confessions. Students may submit their answers to be scored.
Curated OER
A Separate Peace by John Knowles
In this online interactive reading comprehension worksheet, students respond to 7 short answer and essay questions based on A Separate Peace. Students may also access an online quiz on the selection using the link at the bottom of...
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 4
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
Curated OER
Worksheet 7: Slope and Tangents
Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Curated OER
Typical Numeric Questions for Physics I - Motion
Seven pages with 33 multiple choice questions about motion make up this activity. Calculations must be performed in order to choose the correct answer. Physics majors will solve for angles, displacement, acceleration, speed, and time for...
Curated OER
Word Pair Analogies 4
Whether used as a vocabulary building exercise or as test preparation, this analogy activity will prove to be handy. Learners are instructed to build a bridge sentence that expresses the relationship between the pairs of words.
Curated OER
Word Pair Analogies: High-Advanced Level
Analogy worksheets are a great way to encourage critical thinking and develop vocabulary. Consider using this resource as enrichment or as a group work assignment. Learners craft a bridge sentence that expresses the relationship between...
Read Theory
Analogies 3 (Level 6)
Positive and negative may be opposites, but what does that have to do with the words clean and filthy? Ask your pupils to consider word relationships as they complete the 10 analogies presented here. Note that the exercise gradually...
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part instructional activity on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in...
Curated OER
Renaissance and Reformation Chapter Test
This is a traditional textbook chapter test on the Renaissance and Reformation, complete with eight multiple choice questions, six fill-in-the-blank, and a 10-question matching section identifying key individuals and terms from the...
Curated OER
Worksheet 24 - Derivative
In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
Curated OER
Worksheet 38-Spring 1996
In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.