Lesson Plan
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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...
Assessment
Illustrative Mathematics

Modeling London's Population

For Students 9th - 12th Standards
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
Assessment
1
1
Balanced Assessment

Telephone Service

For Students 9th - 12th Standards
Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...
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 instructional activity that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend...
Printables
Curriculum Corner

Order of Operations Task Cards (1)

For Students 3rd - 7th Standards
See how well learners know how to solve expressions using the order of operations. Use this packet that includes 28 task cards that requires pupils to evaluate expressions with variables, solve expressions using the correct...
Interactive
1
1
PHET

Gas Properties

For Students 6th - Higher Ed Standards
We can't see most gases and we can't see things at the molecular level — but that's about to change! A simulation shows pupils the activity of molecules in a gas. The simulation allows scholars to vary the volume, heat, and...
Interactive
PHET

Geometric Optics

For Students 6th - 12th Standards
What would happen if your entire world was flipped upside down? In addition to changing the distance and size of an object, lenses flip the image upside down. The simulation allows scholars to vary the object, move the object, move the...
Activity
Noyce Foundation

Once Upon a Time

For Students K - 12th Standards
Examine the relationship between time and geometry. A series of five lessons provides a grade-appropriate problem from elementary through high school. Each problem asks learners to compare the movement of the hands on a clock to an angle...
Lesson Plan
Science Matters

Energy from Water Wheels

For Teachers 6th Standards
Historians believe the first vertical water wheel was invented in Rome during the Augustan Age. The sixth lesson in the series of 10 has scholars experiment with designing their own water wheels. Through testing various pastas and...
Interactive
Laboratory for Atmospheric and Space Physics

Orbit Simulator

For Students 9th - 12th Standards
Researchers think they have evidence of a new planet deep in our solar system that is the size of Neptune and orbits the sun far beyond Pluto. The orbit simulator shows the orbits of our well-known planets, as well as Pluto and the comet...
Lesson Plan
EngageNY

Computing Actual Lengths from a Scale Drawing

For Teachers 7th Standards
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
Lesson Plan
EngageNY

The Relationship of Multiplication and Addition

For Teachers 6th Standards
You know 4 + 4 + 4 = 3(4), but what about x + x + x? Pairs work together to develop equivalent expressions relating multiplication and addition in the third lesson of a 36-part series. They extend their knowledge of multiplication as...
Lesson Plan
EngageNY

Writing Addition and Subtraction Expressions

For Teachers 6th Standards
Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept. 
Interactive
CK-12 Foundation

Bow and Arrow

For Students 6th - 12th Standards
Where does the energy of an arrow come from? Is it from the person, the bow, or somewhere else? A simulation allows scholars to adjust the stretch distance and the elastic constant in order to understand where the energy comes from, what...
Interactive
CK-12 Foundation

Sprinter

For Students 6th - 12th Standards
Why do sprinters wear spiked shoes? Scholars explore various styles of shoes and how they handle forces when running. Scholars adjust variables including shoe type, horizontal force, surface type, and normal force to determine which...
Interactive
CK-12 Foundation

Ramp and Piano

For Students 6th - 12th Standards
Can you lift a piano into a truck? Simulation allows scholars to explore the relationship between force, ramp length, and weight. Pupils control the variables of truck bed height, ramp length, weight of piano, and the number of friends...
Interactive
CK-12 Foundation

Heat Engine

For Students 9th - 12th Standards
How can heat power an engine? Scholars observe a heat engine working and control variables to determine the most efficient setup. They change the amount of heat input as well as the stroke length. Energy efficiency numbers prove the...
Interactive
CK-12 Foundation

Power Lines

For Students 9th - 12th Standards
How does electricity travel through power lines? The simulation demonstrates the how changes in voltage and resistance are related to the distance between power polls and the thickness of the cable. Scholars control three variables in...
Interactive
CK-12 Foundation

Galvanometer

For Students 9th - 12th Standards
In 1820, Hans Christian Orstead discovered the link between electricity and magnetism, which allows us to measure current and voltage. The simulation allows scholars to observe the inner workings of an ammeter and voltmeter as they...
Lesson Plan
EngageNY

Writing and Evaluating Expressions—Multiplication and Division

For Teachers 6th Standards
Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...
Interactive
CK-12 Foundation

Electric Motor

For Students 9th - 12th Standards
How does a direct current run a motor? Pupils control five variables in an electric motor and observe how the force diagram changes. The force, magnetic field, and current vary based on the changes in the design of the magnet and...
Interactive
CK-12 Foundation

Particle Tracks

For Students 9th - 12th Standards
Did you know physicists can identify new particles by observing the path they take in a particle accelerator? Scholars explore the variables that determine the direction and radius of the circular path different particles take. They...
Interactive
CK-12 Foundation

Electric Ice Sheet

For Students 6th - 12th Standards
Tommy is trapped on an ice bridge and needs you to balance the charges so he doesn't fall into the icy water! Scholars apply Coulomb's Law, which relates to both the strength and the distance between charges. They work with these two...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 1

For Students 8th - 10th Standards
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...

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