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EngageNY

Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

For Students 10th - 12th Standards
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 
Lesson Plan
EngageNY

Why Call It Tangent?

For Students 10th - 12th Standards
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...
Lesson Plan
EngageNY

Graphing the Sine and Cosine Functions

For Students 10th - 12th Standards
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 3)

For Students 9th - 10th Standards
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
Lesson Plan
EngageNY

Solution Sets to Equations with Two Variables

For Students 9th - 10th Standards
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...
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

Distance and Complex Numbers 2

For Teachers 11th - 12th Standards
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th activity in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to...
Lesson Plan
EngageNY

Justifying the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
The 14th lesson in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the...
Assessment
EngageNY

End-of-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
Lesson Plan
EngageNY

Vectors and Translation Maps

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

Fundamental Theorem of Similarity (FTS)

For Teachers 8th Standards
How do dilated line segments relate? Lead the class in an activity to determine the relationship between line segments and their dilated images. In the fourth section in a unit of 16, pupils discover the dilated line...
Lesson Plan
EngageNY

Informally Fitting a Line

For Teachers 8th Standards
Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...
Lesson Plan
EngageNY

The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m

For Teachers 8th Standards
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
Lesson Plan
EngageNY

Equations of Graphs of Proportional Relationships Involving Fractions

For Teachers 7th Standards
The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...
Lesson Plan
EngageNY

Square Roots

For Students 8th Standards
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
Lesson Plan
EngageNY

Identifying Proportional and Non-Proportional Relationships in Tables 2

For Teachers 7th Standards
Not all relationships with a pattern are proportional. Show your class why in the fourth installment of a 22-part series. The instructional activity builds upon previous parts and has pupils analyze tables to determine whether they...
Lesson Plan
Illustrative Mathematics

High School Graduation

For Teachers 7th - 9th Standards
An exercise in finding the approximate time that a name would be called at a graduation. Estimating time may be difficult for some of the class, so this resource would not be a good choice for learning this standard. It does end with a...
Worksheet
Curated OER

Count the Pictures: Numbers to 10

For Students K - 1st
Help your young learners master 1:1 correspondence by counting pictured objects, and to communicate answers in multiple choice format. Given a number, they choose which of 3 rows of objects is the correct match. Four opportunities to...
Worksheet
Curated OER

The Flower and the Fly

For Students 9th - Higher Ed
It's like a biological "Beauty and the Beast!" The fascinating mutualism between a South African meganosed fly and a deep-throated geranium builds a case study in coevolution for your biology buffs to analyze. After reading about this...
PPT
Curated OER

Unit 6b -Year 5

For Teachers 4th - 5th
If you have some 9-10 year olds who are ready for some 5th year math, then check out this UK math unit. There are 172 slides that cover all of the basic multiplication tables, relate those to division, fractions, sequencing, and an...
Lesson Plan
National Research Center for Career and Technical Education

Finance: Depreciation (Double Declining)

For Teachers 6th - 12th Standards
Of particular interest to a group of business and finance pupils, this lesson plan explores depreciation of automobile values by comparing the double declining balance to the straight line method. Mostly this is done through a slide...
Lesson Plan
Curated OER

Analyzing Poetic Devices: Robert Hayden's "Those Winter Sundays" and Theodore Roethke's "My Papa's Waltz"

For Teachers 10th - Higher Ed
Analyze the poetic devices used in Robert Hayden's "Those Winter Sundays" to those found in Theodore Roethke's "My Papa's Waltz." Critical analysts discuss poetic meter and rhythm and its relationship to theme. They compare and contrast...
Lesson Plan
Curated OER

Historic Journey From Taiwan To China

For Teachers 9th - 12th
Learners research information about Taiwan. They list information about the relationship between Taiwan and China in the before journey column. In the after journey column, have students predict what happen to this relationship.
Lesson Plan
Curated OER

Symbiosis and Co-evolution

For Teachers 7th - 12th
By choosing a species and researching an adaptive symbiotic relationship it shares with another species, your students are able to investigate a symbiotic relationship in a lab setting. They create a presentation using a variety of...

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