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EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
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,...
EngageNY
Which Real Number Functions Define a Linear Transformation?
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...
EngageNY
The Geometric Effect of Some Complex Arithmetic 2
The 10th lesson in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and another...
Odell Education
Curve of Best Fit
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
Curated OER
Real-World Linear Programming
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...
Mathematics Assessment Project
Representing Functions of Everyday Situations
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...
Illustrative Mathematics
Buying a Car
Teenagers love to think about driving and buying their first car. The intent of this resource is to create an equation for the list price of a car and add the appropriate state tax. Once your teens understand the calculation, ask them to...
Odell Education
Equation Vocabulary
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.
Odell Education
Types of Variations
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...
Curated OER
Pedal Power
Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...
Odell Education
Properties
Examine some properties that don't require a general contractor. Scholars first complete a mental math activity that uses the properties of real numbers. A separate activity formalizes these properties.
Curated OER
Real World Equations!
Help your math class "get the picture" in a quadratic equation lesson that integrates digital photography. Individuals take pictures to help them model the shape of an item or situation using algebraic equations. They discover how to...
Georgia Department of Education
The Basketball Star
Have learners use math to prove they are sports stars! Assess a pupil's ability to create and analyze data using a variety of graphs. The class will be motivated by the association of math and basketball data.
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Odell Education
Simply Radical
Simplifying is radical, dude! After reviewing how to simplify square roots of whole numbers, scholars consider how to simplify square roots of algebraic monomials. Also taken under consideration is how to simplify cube roots of whole...
Curated OER
Solving Systems of Equations
Students, using algebraic operations, solve and check linear equations. At the beginning of class, they write a paragraph comparing the solving of math problems to solving real life problems. Students observe solving systems of two...
Curated OER
Flying with Pythagoras
A lengthy narrative about Pythagoras and his learners precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided.
Curated OER
How Does Your Population Grown?
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
Curated OER
Working With Equations
Students create a mathematical formula to help plan ration supplies for a polar expedition. Using basic algebra skills, students identify the variables in planning for rations. They create an equation to help plan the expedition....
Curated OER
Graphing Inequalities in Equations
Can a person solve and graph inequalities in one variable? Sounds impossible but it's not! Young mathematicians solve and graph inequalities in algebraic equations. They find a range of possible values for a variable as they solve...
Curated OER
What Is It?
You have to love lessons that foster problem solving strategies. This one has upper graders devise and employ their own strategy to solve given problems after they have used classics like guess/check, substitution, make a table, and look...
Curated OER
The Tortoise And The Hare
Students use the children's story of The Tortoise And The Hare in order to investigate the graphing of equations. The story is converted to an algebraic word problem for them to solve. Students investigate the relationships of data and...
Curated OER
Shadows and Skyscrapers
Eighth graders explain the relationship between the position of the sun, a city's latitude and shadow length. Ratio's, geometry, and algebra are used to determine the shadow lengths and building heights. A sun angle (altitude) charts to...