EngageNY
Graphing Factored Polynomials
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
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.
EngageNY
Why Call It Tangent?
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...
EngageNY
Graphing the Sine and Cosine Functions
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...
Teach Engineering
Understanding the Air through Data Analysis
Is there a correlation or causation relationship between air pollutants? Groups develop a hypothesis about the daily variation of air pollutants, specifically ozone and CO2. Using Excel to analyze the data, the groups evaluate their...
EngageNY
Four Interesting Transformations of Functions (Part 3)
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...
EngageNY
Solution Sets to Equations with Two Variables
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...
EngageNY
Complex Number Division 1
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...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
EngageNY
Justifying the Geometric Effect of Complex Multiplication
The 14th lesson plan 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...
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 2
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...
EngageNY
Vectors and Translation Maps
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...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Education Development Center
Area Model Factoring
Introduce learners to what factoring represents and it's relationship to a square with a resource about factoring and the method of area models. The questions are scaffolded to begin with introductory questions and eventually have...
West Contra Costa Unified School District
Discovering Slope of a Line in Standard Form
From start to finish this skills practice resource provides a way for individuals to explore the standard form equation of a line. Begin with a warm-up, work through the problems, and then discover the relationship between the...
Balanced Assessment
Bathtub Graph
Represent the relationship between independent and dependent variables through a modeling situation. The activity expects learners to graph the volume of water in a bathtub during a given scenario. The graph should result in two areas of...
Yummy Math
Should NFL Quarterbacks Shave or Grow a Beard?
What does facial hair have to do with quarterback ratings? Using a set of data that provides QBR with and without facial hair, football enthusiasts determine if performance is affected. It also has learners question if the relationship...
EngageNY
Fundamental Theorem of Similarity (FTS)
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...
Consortium for Ocean Science Exploration and Engagement (COSEE)
Life in an Ocean World
How does the shell color of crabs and the habitat they live in impact the predator-prey relationship? The fourth lesson in a series of five is a game where participants try not to get eaten if they are a prey and try to eat if they are...
National Park Service
It Was a Very Good Year
Waterton-Glacier International Peace Park includes whitebark pines that are over 1,200 years old, meaning they have been there since before medieval times. The second lesson of five details how to read tree rings for climate change and...
Balanced Assessment
L to Scale
Explore the meaning of scale in relation to actual size through this activity. Young mathematicians examine scale models and determine their relationship to each other. They also find perimeter and area of each model.
EngageNY
Informally Fitting a Line
Discover how trend lines can be useful in understanding relationships between variables with a lesson plan that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to...
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
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...
BBC
The Monarch's Changing Role
Though the grandeur and elegance of the British palace remains unchanged throughout history, the role of the monarch has shifted from absolute rule to collaboration with a constitutional parliament. Young historians learn about the...
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