Lesson Plan
EngageNY

Which Real Number Functions Define a Linear Transformation?

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...
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 plan 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 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

Some Facts About Graphs of Linear Equations in Two Variables

For Teachers 8th Standards
Develop another way to find the equation of a line. The lesson introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
Lesson Plan
EngageNY

More Division Stories

For Teachers 6th Standards
Don't part with a resource on partitive division. Continuing along the lines of the previous lesson, pupils create stories for division problems, this time for partitive division problems. Trying out different situations and units allows...
Lesson Plan
EngageNY

Read Expressions in Which Letters Stand for Numbers

For Teachers 6th Standards
Pencil in the resource on writing verbal phrases into your lesson plans. The 15th installment of a 36-part module has scholars write verbal phases for algebraic expressions. They complete a set of problems to solidify this skill.
Lesson Plan
EngageNY

Solving Problems by Finding Equivalent Ratios

For Teachers 6th Standards
Combine total quantities and equivalent ratios in problem solving. The fifth lesson in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or differences of the...
Lesson Plan
1
1
Teach Engineering

Introduction to Environmental Engineering

For Teachers 7th - 9th
A series on environmental engineering introduces the class to issues that environmental engineers work to solve. This first lesson focuses on air and land issues, and looks at ways to reduce pollution.
Lesson Plan
EngageNY

Solutions of a Linear Equation

For Teachers 8th Standards
Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...
Lesson Plan
EngageNY

Grade 9 ELA Module 2, Unit 3, Lesson 5

For Teachers 9th Standards
After rereading the full text of Walter Mosley's essay "True Crime," groups complete an evidence collection tool worksheet, and then class members independently draft a multi-paragraph, evidence-based response that identifies how Mosley...
Lesson Plan
National Security Agency

Classifying Triangles

For Teachers 4th - 8th Standards
Building on young mathematicians' prior knowledge of three-sided shapes, this lesson series explores the defining characteristics of different types of triangles. Starting with a shared reading of the children's book The Greedy...
Lesson Plan
Illustrative Mathematics

Many Ways to Do Addition

For Teachers Pre-K - 1st Standards
A great aspect of teaching math is that children have the freedom to solve problems using a variety of different strategies. The focus of this lesson is for young mathematicians to become aware of many ways of answering addition...
Lesson Plan
Illustrative Mathematics

Favorite Ice Cream Flavor

For Teachers Pre-K - 2nd Standards
What better way to engage children in a math lesson than by talking about ice cream? Using a pocket chart or piece of chart paper, the class works together creating a bar graph of the their favorite ice cream flavors. Learners then work...
Lesson Plan
Illustrative Mathematics

Grandfather Tang's Story

For Teachers K - 2nd Standards
It's amazing the complex figures that can be made using only a few simple shapes. Following a class reading of the children's book Grandfather Tang's Story by Ann Tompert, young mathematicians use sets of tangrams to create models...
Lesson Plan
Illustrative Mathematics

All vs. Only Some

For Teachers Pre-K - 2nd Standards
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
Assessment
Science Matters

Formative Assessment #1: Structure/Function

For Students 5th
Just because you taught it doesn't mean they learned it! Use a quick formative assessment to check for understanding and ensure all individuals understand the role of structure and function. The lesson is the fourth in a larger series on...
Assessment
Science Matters

Electricity and Magnetism Formative Assessment #1

For Students 4th
A formative assessment is a great tool for planning further instruction. The fifth lesson of a 14-part series exploring magnetism and electricity provides questions to gauge current understanding of magnetic fields, compasses, and...
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

Analyzing Residuals (Part 2)

For Teachers 9th - 10th Standards
Learn about patterns in residual plots with an informative math activity. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
Lesson Plan
EngageNY

General Prisms and Cylinders and Their Cross-Sections

For Teachers 9th - 10th Standards
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer...
Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 2)

For Teachers 11th - 12th Standards
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Lesson Plan
EngageNY

Complex Number Division 1

For Teachers 11th - 12th Standards
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
Lesson Plan
EngageNY

Complex Number Division 2

For Teachers 11th - 12th Standards
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...
Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth activity in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what...

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