Lesson Plan
EngageNY

Determining Discrete Probability Distributions 2

For Teachers 11th - 12th Standards
Investigate how long-run outcomes approach the calculated probability distribution. The 10th installment of a 21-part module continues work on probability distributions from the previous lesson. They pool class data to see how conducting...
Lesson Plan
EngageNY

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
Show budding mathematicans how to find the sine of pi over 12. The third instructional activity in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using...
Lesson Plan
EngageNY

Waves, Sinusoids, and Identities

For Teachers 11th - 12th Standards
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
Lesson Plan
EngageNY

Numbers in Exponential Form Raised to a Power

For Teachers 8th Standards
Develop an understanding of the properties of exponents through this series of activities. This third lesson of 15 explores the patterns associated with the power property. Scholars expand the powers before applying the property.
Lesson Plan
EngageNY

Proofs of Laws of Exponents

For Teachers 8th Standards
Apply pupil understanding of exponent properties to prove the relationships. In the sixth lesson of the series, individuals are expected to prove relationships using mathematical statements and reasoning.
Lesson Plan
EngageNY

Angle Sum of a Triangle

For Students 8th Standards
Prove the Angle Sum Theorem of a triangle using parallel line and transversal angle relationships. Pupils create a triangle from parallel lines and transversals. They find angle measures to show that the angles of a triangle must total...
Lesson Plan
EngageNY

Existence and Uniqueness of Square Roots and Cube Roots

For Students 8th Standards
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
Lesson Plan
EngageNY

Decimal Expansions of Fractions, Part 2

For Students 8th Standards
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
Lesson Plan
EngageNY

Comparing Data Distributions

For Teachers 6th Standards
Box in the similarities and differences. The 19th lesson plan in a unit of 22 presents class members with multiple box plots to compare. Learners use their understanding of five-number summaries and box plots to find similarities and...
Lesson Plan
EngageNY

Solving Problems by Finding Equivalent Ratios

For Teachers 6th Standards
Combine total quantities and equivalent ratios in problem solving. The fifth instructional activity in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or...
Lesson Plan
EngageNY

Actions for a Position Paper: Identify, Discuss, Write

For Teachers 6th Standards
Anchors aweigh, it's time to write! After viewing an anchor chart detailing the parts of a position paper, pupils share their plans for their essays with a partner. Next, they write the rough draft of their body paragraphs. 
Lesson Plan
EngageNY

Distributions and Their Shapes

For Teachers 9th - 10th Standards
What can we find out about the data from the way it is shaped? Looking at displays that are familiar from previous grades, the class forms meaningful conjectures based upon the context of the data. The introductory lesson to...
Lesson Plan
EngageNY

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

For Students 10th - 12th Standards
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Lesson Plan
EngageNY

Complex Numbers as Solutions to Equations

For Students 10th - 12th Standards
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 
Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 1)

For Students 9th - 10th Standards
Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...
Lesson Plan
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1
EngageNY

Solving Inequalities

For Students 9th - 10th Standards
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
Lesson Plan
EngageNY

An Appearance of Complex Numbers 1

For Teachers 11th - 12th Standards
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Lesson Plan
EngageNY

Matrix Multiplication and Addition

For Teachers 11th - 12th Standards
To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...
Lesson Plan
EngageNY

Getting a Handle on New Transformations 1

For Teachers 11th - 12th Standards
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
Lesson Plan
EngageNY

Vectors and Translation Maps

For Teachers 11th - 12th Standards
Discover the connection between vectors and translations. Through the instructional activity, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then...
Lesson Plan
1
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EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Lesson Plan
EngageNY

Translating Lines

For Students 8th Standards
Define parallel lines through transformations. The third lesson of 18 examines the result of the translation of a line. Two possible outcomes include coinciding lines and parallel lines.
Lesson Plan
EngageNY

The Graph of a Linear Equation—Horizontal and Vertical Lines

For Teachers 8th Standards
Graph linear equations in standard form with one coefficient equal to zero. The lesson plan reviews graphing lines in standard form and moves to having y-coefficient zero. Pupils determine the orientation of the line and, through a...