EngageNY
Writing the Equation for a Circle
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 1
It's all in the numbers. Determine your pupils' level of understanding of scientific notation using this assessment task. The final lesson in the series assesses scholars on the application of scientific notation in real-life...
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
EngageNY
Modeling with Quadratic Functions (part 1)
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 2
Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.
EngageNY
Rotations
Searching for a detailed lesson to assist in describing rotations while keeping the class attentive? Individuals manipulate rotations in this application-based lesson depending on each parameter. They construct models depending on the...
EngageNY
Solving Problems Using Sine and Cosine
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles....
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The instructional activity asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Space
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...
EngageNY
Interpreting Quadratic Functions from Graphs and Tables
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
EngageNY
Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways
Need a real scenario to compare functions? This lesson plan has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs.
EngageNY
Converse of the Pythagorean Theorem
Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse...
Curated OER
Around the Clock
Students discover the relationship between the circumference of a circle and its diameter. They find the length of an arc of a circle.Students use estimation strategies in real-world applications to predict results (i.e., interpolation...
Curated OER
Systems of Equations and Real Life
What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...
Curated OER
Regulation of Cell Division
Supplementing the review of mitosis and meiosis, the detailed slides give information about growth factors, cell communication, and regulator genes. A fascinating topic, your class will be inspired by the applications and developments of...
Willow Tree
Slope
Investigate the different types of slope using graphs and ordered pairs. Scholars use the slope formula to determine the slope of a line between two points. Includes examples with a slope of zero and with no slope. The activity follows a...
Curated OER
Solving Equations and Formulas
Learners rearrange equations and formulas to solve for a specified variable. Includes multi-step equations with a variety of different variables and a few real-world applications. Great for use as a study guide when presenting the...
Curated OER
Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and...
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...
Chapman University
Proof of L’Hospital’s Rule
Understanding how calculus formulas were derived connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the derivative's application in...
Curated OER
Integrating Gandhian Principles of Communal Unity in Mathematics
Fourth through sixth graders incorporate Gandhian principles into Math curriculum. They explore Gandhi's teachings on communal unity and economic equality. This has quite a bit of information about Gandhi and his observations and...
Curated OER
Differentiation Using the Chain Rule
In this calculus worksheet, students solve problems using differentiation and the chain rules. They take the derivatives of equations using specific equations. There are 21 problems with an answer key.
Curated OER
One Revolution for Robot
Students calculate the revolution and circumference of circles. In this calculus lesson, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.