Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this learning exercise, 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...
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...
EngageNY
Addition and Subtraction Formulas 2
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...
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
Rays and Angles
Students view examples of a ray, opposite rays, collinear rays, angles, and straight angles. They discuss and demonstrate how to use a protractor and complete worksheet problems on rays and angles.
Curated OER
Angle Sum and Difference
In this angle sum and difference worksheet, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...
Curated OER
Geometry of Triangles Using a Protractor
Seventh graders use a protractor to measure angles and solve a problem involving distance. In this measuring angles with a protractor lesson plan, 7th graders calculate the distance of a line on a diagram by using a protractor to measure...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Curated OER
Algebra and Trigonometry - Week 3: Story Problems
In this story problem worksheet, students read story problems, write equations, and solve. They use the law of sines, the law of cosines, the distance formula, and rates to solve problems. This two-page worksheet contains seven story...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 5
Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and how to...
Los Angeles County Office of Education
Assessment For The California Mathematics Standards Grade 4
Have scholars show what they know with a 20-page assessment aligned to the California State Standards. The test covers concepts such as large and whole numbers, all four mathematical operations, fractions, decimals, geometric figures,...
Curated OER
Fitting Periodic Functions-Distant Planets
In this periodic functions worksheet, students use given data of the speed of a star and find the best fit periodic function that follows the trend in data. They determine the amplitude, offset phase and the formula for the angle. They...
Curated OER
Application of Delta-Epsilon Definition of the Limit
Students create a Hexaflexagon using a formula. In this calculus lesson, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and investigate angles.
Curated OER
Area Applet
Elementary math classes calculate the area of a shape and explain the correlation between the size of the perimeter and the areas that can be contained within that perimeter. They also explain the effect the shape of the perimeter has on...
Bowels Physics
Work, Energy, and Power
Work, energy, and their relationship to power: what is the common thread? Explore this with your class as they learn the concepts of work and energy, both kinetic and potential, before completing multiple practice problems to demonstrate...
Curated OER
Identities and Trigonometric Values
Students solve trigonometric equations. In this precalculus lesson, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
Curated OER
Area Lesson Plan
Learners explore geometry by using computer applications. In this spatial measurement lesson, students discuss the difference between area, weight, volume and other forms of measurement. Learners utilize computer applications to find the...
Curated OER
Trigonometric Functions
For this trigonometric functions worksheet, 11th graders solve and complete 5 different sets of problems. First, they find each angle using angle addition/subtraction formulas as shown. Then, students prove each of the identities provided.
Curated OER
Volumes in 3-D
In this geometry worksheet, 11th graders calculate the volume of there dimensional shapes using the formula for cylinders. They are given the height and the base and asked to calculate the volume. There are 4 problems.
Curated OER
Organic Chemistry Problem Set Exam 1
Though there are technically only 13 questions on this exam, they take up six pages and make a thorough assessment of organic chemistry principles. There are plenty of diagrams to label or complete. Emission spectra are displayed for...
Curated OER
VSEPR And Polarity
For this VSEPR theory worksheet, students evaluate the electron-pair geometry of organic and inorganic molecules. They construct Lewis structures and resonance structures for 17 compounds and complete 3 short answer questions.
Curated OER
Noon Project Revisited
Students, just like Eratosthenes, try to use math to calculate immeasurable objects. Teachers need to try out the calculations before having your class do them. They should take notes to be included with their own calculations and drawings.
Curated OER
Water Usage and Conservation
Young scholars investigate water usage at school and at home. They use graphs and tables to evaluate water usage. Students describe possible water conservation measures. They use graphs and tables to relate data as part of a written report.