JAE
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Number and Operations
In grades 6 – 8, all students should:
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Concept
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Activity/Web Link
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Description
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Produced by
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Fractions, Decimals and Percents
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Use fractions, decimals, and percents to determine an unknown height.
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Determine an unknown height using the decimal value of equivalent ratios.
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Use fractions to size up a biscuit recipe.
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Ratios and Proportions
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Resize a figure to fit the scale of a diorama.
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Use the proportional relationship between similar triangles to determine unknown heights.
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Explore what happens to area when you scale up a painting proportionally.
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Calculate the dimensions of a house that has been scaled up by a factor of 10.
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Scale up menu items to feed a crowd at a family reunion.
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Discover the relationship between an object’s distance from a light source and the size of its shadow.
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Explore the proportional relationship between the length of musical pipes and their frequency.
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Learn about the proportional relationships among time, distance, and speed.
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Write and solve proportions when ratios are given as fractions, decimals, and percents.
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Solve problems by using proportions.
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Fractions, Decimals and Percents
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Determine the proportional relationship between battery charge and the number of photos one can take.
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Control the mass and velocity of a bumper car.
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Write and compare ratios using fractions and decimals.
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Ratios and Proportions
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Photo Booth– Rechargeable Batteries
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Determine the proportional relationship between battery charge and the number of photos one can take.
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Estimating and Predicting
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Bumper Cars– Storing and Using Energy in a Battery
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Control the mass and velocity of a bumper car.
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Selecting Appropriate method of computation and reasonable of result
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Drag Racing - Horsepower
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Calculate horsepower and explore accelerating from 0 to 60 mph.
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Computing fluently
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Roller Coaster - The Inclined Plane
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Determine the amount of force required to pull roller coasters up inclined planes.
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Parachute Drop - The Pulley
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Explore and calculate force using different weights of people and different numbers of pulleys.
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Seesaw – The Lever
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Explore different weights and positions needed to balance a seesaw.
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Ring the Bell – Acceleration
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Explore the force that is necessary to “ring the bell.”
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Roller Coaster – Scale Factor
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Explore scale factors of roller coasters, dinosaurs and statues.
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Determining Unit Rate
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Photo Booth– Rechargeable Batteries
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Determine the proportional relationship between battery charge and the number of photos one can take.
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Bumper Cars– Storing and Using Energy in a Battery
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Control the mass and velocity of a bumper car.
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Determine unit rates.
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Converting Units of measurement between metric and customary
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Bumper Cars– Storing and Using Energy in a Battery
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Control the mass and velocity of a bumper car.
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Parachute Drop - The Pulley
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Explore and calculate force using different weights of people and different numbers of pulleys.
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Roller Coaster – Scale Factor
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Explore scale factor of roller coasters, dinosaurs and statues.
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Algebra
In grades 6 – 8, all students should:
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Concept
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Link
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Description
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Produced by
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Different forms of representation for a relationship
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Observe how the relationship of radius vs. area of circle is represented in a graph.
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Enter data in a table and see how it translates into a graph.
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Compare the graphical representations of inverse and direct proportions.
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Modeling problems with graphs, tables, and equations
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Complete a table comparing the dimensions of a house those of a larger-scale version.
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Complete a table with the ingredients for a scaled-up recipe.
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Complete a table with measurements of shadows at different distances from a movie projector.
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Complete a table that demonstrates the relationship between the length of musical pipes and their frequency.
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Complete a table that illustrates how distance, time, and speed are related.
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Analyze change
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Use a graph to determine how big a skillet needs to be to cook 108 pieces of chicken.
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Answer questions about rate based on graphs of distance vs. speed and time vs. speed.
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Comparing, graphing and interpreting data
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Photo Booth– Rechargeable Batteries
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Determine the proportional relationship between battery charge and the number of photos one can take.
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Modeling problems with graphs, tables, and equations
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Bumper Cars– Storing and Using Energy in a Battery
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Control the mass and velocity of a bumper car.
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Drag Racing – Horsepower
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Calculate horsepower and explore accelerating from 0 to 60 mph.
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Roller Coaster - The Inclined Plane
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Determine the amount of force required to pull roller coasters up inclined planes.
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Parachute Drop - The Pulley
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Explore and calculate force using different weights of people and different numbers of pulleys.
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Seesaw – The Lever
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Explore different weights and positions needed to balance a seesaw.
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Ring the Bell – Acceleration
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Explore the force that is necessary to “ring the bell.”
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Roller Coaster – Scale Factor
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Explore scale factors of roller coasters, dinosaurs and statues.
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Geometry
In grades 6 – 8, all students should:
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Concept
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Activity/Web Link
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Description
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Produced by
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Transformations – Reflections
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Place picnic tables to reflect a given arrangement.
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Transformations – Rotations
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Place, size, and rotate a shape to represent a snack bar in a park.
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Place, reflect, and rotate objects in an obstacle course.
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Pythagorean Theorem
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Find the distance between two light posts.
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Calculate the amount of material needed to cover a ramp.
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Calculate the amount of material needed to cover a ramp and install rails along the sides.
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Pythagorean Theorem
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Roller Coaster- The Inclined Plane
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Determine the amount of force required to pull roller coasters up inclined planes.
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Transformations - Translations
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Determine the coordinates needed to move a skateboarder along a rail.
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Place and translate objects in an obstacle course.
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Describe the translations needed to move a person on a coordinate plane.
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Two- and three-dimensional geometric shapes
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Use similarity to help determine an unknown height.
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Explore what happens to area when the dimensions of similar rectangles are increased proportionally.
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Observe what happens to volume when three-dimensional objects are scaled up.
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Explore what happens to the area of a circle when its radius is increased.
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Spatial relationships using coordinate geometry
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Observe how the relationship between a circle’s radius and its area is represented graphically.
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Applying geometry to areas outside mathematics classroom
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See how proportional reasoning is used to create large-scale murals.
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Measurement
In grades 6 – 8, all students should:
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Concept
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Link
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Description
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Produced by
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Proportional Reasoning
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Place and size a pond in a park.
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Place and size a skateboard ramp in a park.
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Place and size a garden in an environmental center.
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Place and size a gazebo in an environmental center.
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Discover the proportional relationship between the length of a musical pipe and its frequency or pitch.
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Measure an unknown height using information about a known height.
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Scale a figure for placement in a diorama.
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Explore the proportional relationships among speed, distance, and time.
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Calculate an unknown height using shadows and similar triangles.
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Determine the dimensions, area, and volume of a house using a 1:10 scale.
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Determine how much more paint is needed when the length and width of a painting are doubled or tripled.
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Explore the relationship between the size of an object’s shadow and its distance from a light source.
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Scale up recipes for a family reunion.
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Scale up a skillet to cook chicken for a crowd.
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Applying the Process of Measurement
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Roller Coaster – Scale Factor
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Explore scale factors of roller coasters, dinosaurs and statues.
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Scale Factors
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Measure distances on a map and calculate the actual distances.
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Volume of a Cylinder
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Calculate the volume of a pond and the amount of water needed to fill it.
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Calculate the volume of a pond and the amount of water needed to fill it.
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Area of a Circle
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Calculate the number of goldfish that can be placed in a pond.
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See how increasing the radius of a circle affects its area.
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Perimeter and Circumference
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Calculate the number of cans of spray paint needed to paint the lines on a basketball court.
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Perimeter and Area
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Solve problems using perimeters and areas of rectangles.
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Area of a Composite Figure
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Find areas of composite figures in order to cover areas in a park with rubberized mulch.
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Find area of composite figure in order to cover it with topsoil.
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Find area of composite figure in order to cover it flooring.
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Rates and derived measurements
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Calculate speed in mph based on distance traveled in a set time or time taken to travel a set distance.
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Solving Problems Using Velocity and Mass
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Bumper Cars– Storing and Using Energy in a Battery
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Control the mass and velocity of a bumper car.
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Data and Probability
In grades 6 – 8, all students should:
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Concept
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Link
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Description
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Produced by
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Using proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations
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Photo Booth– Rechargeable Batteries
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Determine the proportional relationship between battery charge and the number of photos one can take.
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Bumper Cars– Storing and Using Energy in a Battery
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Control the mass and velocity of a bumper car.
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Drag Racing – Horsepower
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Calculate horsepower and explore accelerating from 0 to 60 mph.
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Roller Coaster - The Inclined Plane
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Determine the amount of force required to pull roller coasters up inclined planes.
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Parachute Drop - The Pulley
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Explore and calculate force using different weights of people and different numbers of pulleys.
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Seesaw – The Lever
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Explore different weights and positions needed to balance a seesaw.
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Ring the Bell – Acceleration
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Explore the force that is necessary to “ring the bell.”
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Roller Coaster– Scale Factor
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Explore scale factors of roller coasters, dinosaurs and statues.
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