Monday, July 15, 2013

Resources from stemcollaborative.org

Here are some resources for project ideas and lesson plans for adaptation to your students' needs.

JAE

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Number and Operations

In grades 6 – 8, all students should:
  • Understand numbers, ways of representing numbers, relationships among numbers, and number systems
  • Understand meaning of operations and how they relate to one another
  • Compute fluently and make reasonable estimates
Concept
Activity/Web Link
Description
Produced by
Fractions, Decimals and Percents
Use fractions, decimals, and percents to determine an unknown height.
Determine an unknown height using the decimal value of equivalent ratios.
Use fractions to size up a biscuit recipe.
Ratios and Proportions
Resize a figure to fit the scale of a diorama.
Use the proportional relationship between similar triangles to determine unknown heights.
Explore what happens to area when you scale up a painting proportionally.
Calculate the dimensions of a house that has been scaled up by a factor of 10.
Scale up menu items to feed a crowd at a family reunion.
Discover the relationship between an object’s distance from a light source and the size of its shadow.
Explore the proportional relationship between the length of musical pipes and their frequency.
Learn about the proportional relationships among time, distance, and speed.
Write and solve proportions when ratios are given as fractions, decimals, and percents.
Solve problems by using proportions.
Fractions, Decimals and Percents
Determine the proportional relationship between battery charge and the number of photos one can take.
Control the mass and velocity of a bumper car.
Write and compare ratios using fractions and decimals.
Ratios and Proportions
Photo Booth– Rechargeable Batteries
Determine the proportional relationship between battery charge and the number of photos one can take.
Estimating and Predicting
Bumper Cars– Storing and Using Energy in a Battery
Control the mass and velocity of a bumper car.
Selecting Appropriate method of computation and reasonable of result
Drag Racing - Horsepower
Calculate horsepower and explore accelerating from 0 to 60 mph.
Computing fluently
Roller Coaster - The Inclined Plane
Determine the amount of force required to pull roller coasters up inclined planes.
Parachute Drop - The Pulley
Explore and calculate force using different weights of people and different numbers of pulleys.
Seesaw – The Lever
Explore different weights and positions needed to balance a seesaw.
Ring the Bell – Acceleration
Explore the force that is necessary to “ring the bell.”
Roller Coaster – Scale Factor
Explore scale factors of roller coasters, dinosaurs and statues.
Determining Unit Rate
Photo Booth– Rechargeable Batteries
Determine the proportional relationship between battery charge and the number of photos one can take.
Bumper Cars– Storing and Using Energy in a Battery
Control the mass and velocity of a bumper car.
Determine unit rates.
Converting Units of measurement between metric and customary
Bumper Cars– Storing and Using Energy in a Battery
Control the mass and velocity of a bumper car.
Parachute Drop - The Pulley
Explore and calculate force using different weights of people and different numbers of pulleys.
Roller Coaster – Scale Factor
Explore scale factor of roller coasters, dinosaurs and statues.

Algebra

In grades 6 – 8, all students should:
  • Understand patterns, relationships, and functions
  • Represent and analyze mathematical situations and structures using algebraic symbols
  • Use mathematical models to represent and understand quantitative relationships
  • Analyze change in various contexts
Concept
Link
Description
Produced by
Different forms of representation for a relationship
Observe how the relationship of radius vs. area of circle is represented in a graph.
Enter data in a table and see how it translates into a graph.
Compare the graphical representations of inverse and direct proportions.
Modeling problems with graphs, tables, and equations
Complete a table comparing the dimensions of a house those of a larger-scale version.
Complete a table with the ingredients for a scaled-up recipe.
Complete a table with measurements of shadows at different distances from a movie projector.
Complete a table that demonstrates the relationship between the length of musical pipes and their frequency.
Complete a table that illustrates how distance, time, and speed are related.
Analyze change
Use a graph to determine how big a skillet needs to be to cook 108 pieces of chicken.
Answer questions about rate based on graphs of distance vs. speed and time vs. speed.
Comparing, graphing and interpreting data
Photo Booth– Rechargeable Batteries
Determine the proportional relationship between battery charge and the number of photos one can take.
Modeling problems with graphs, tables, and equations
Bumper Cars– Storing and Using Energy in a Battery
Control the mass and velocity of a bumper car.
Drag Racing – Horsepower
Calculate horsepower and explore accelerating from 0 to 60 mph.
Roller Coaster - The Inclined Plane
Determine the amount of force required to pull roller coasters up inclined planes.
Parachute Drop - The Pulley
Explore and calculate force using different weights of people and different numbers of pulleys.
Seesaw – The Lever
Explore different weights and positions needed to balance a seesaw.
Ring the Bell – Acceleration
Explore the force that is necessary to “ring the bell.”
Roller Coaster – Scale Factor
Explore scale factors of roller coasters, dinosaurs and statues.

Geometry

In grades 6 – 8, all students should:
  • Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
  • Specify locations and describe spatial relationships using coordinate geometry and other representational systems
  • Apply transformations and use symmetry to analyze mathematical situations
  • Use visualization, spatial reasoning, and geometric modeling to solve problems
Concept
Activity/Web Link
Description
Produced by
Transformations – Reflections
Place picnic tables to reflect a given arrangement.
Transformations – Rotations
Place, size, and rotate a shape to represent a snack bar in a park.
Place, reflect, and rotate objects in an obstacle course.
Pythagorean Theorem
Find the distance between two light posts.
Calculate the amount of material needed to cover a ramp.
Calculate the amount of material needed to cover a ramp and install rails along the sides.
Pythagorean Theorem
Roller Coaster- The Inclined Plane
Determine the amount of force required to pull roller coasters up inclined planes.
Transformations - Translations
Determine the coordinates needed to move a skateboarder along a rail.
Place and translate objects in an obstacle course.
Describe the translations needed to move a person on a coordinate plane.
Two- and three-dimensional geometric shapes
Use similarity to help determine an unknown height.
Explore what happens to area when the dimensions of similar rectangles are increased proportionally.
Observe what happens to volume when three-dimensional objects are scaled up.
Explore what happens to the area of a circle when its radius is increased.
Spatial relationships using coordinate geometry
Observe how the relationship between a circle’s radius and its area is represented graphically.
Applying geometry to areas outside mathematics classroom
See how proportional reasoning is used to create large-scale murals.

Measurement

In grades 6 – 8, all students should:
  • Understand measurable attributes of objects and the units, systems, and processes of measurement
  • Apply appropriate techniques, tools, and formulas to determine measurements
Concept
Link
Description
Produced by
Proportional Reasoning
Place and size a pond in a park.
Place and size a skateboard ramp in a park.
Place and size a garden in an environmental center.
Place and size a gazebo in an environmental center.
Discover the proportional relationship between the length of a musical pipe and its frequency or pitch.
Measure an unknown height using information about a known height.
Scale a figure for placement in a diorama.
Explore the proportional relationships among speed, distance, and time.
Calculate an unknown height using shadows and similar triangles.
Determine the dimensions, area, and volume of a house using a 1:10 scale.
Determine how much more paint is needed when the length and width of a painting are doubled or tripled.
Explore the relationship between the size of an object’s shadow and its distance from a light source.
Scale up recipes for a family reunion.
Scale up a skillet to cook chicken for a crowd.
Applying the Process of Measurement
Roller Coaster – Scale Factor
Explore scale factors of roller coasters, dinosaurs and statues.
Scale Factors
Measure distances on a map and calculate the actual distances.
Volume of a Cylinder
Calculate the volume of a pond and the amount of water needed to fill it.
Calculate the volume of a pond and the amount of water needed to fill it.
Area of a Circle
Calculate the number of goldfish that can be placed in a pond.
See how increasing the radius of a circle affects its area.
Perimeter and Circumference
Calculate the number of cans of spray paint needed to paint the lines on a basketball court.
Perimeter and Area
Solve problems using perimeters and areas of rectangles.
Area of a Composite Figure
Find areas of composite figures in order to cover areas in a park with rubberized mulch.
Find area of composite figure in order to cover it with topsoil.
Find area of composite figure in order to cover it flooring.
Rates and derived measurements
Calculate speed in mph based on distance traveled in a set time or time taken to travel a set distance.
Solving Problems Using Velocity and Mass
Bumper Cars– Storing and Using Energy in a Battery
Control the mass and velocity of a bumper car.

Data and Probability

In grades 6 – 8, all students should:
  • Understand and apply basic concepts of probability
Concept
Link
Description
Produced by
Using proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations
Photo Booth– Rechargeable Batteries
Determine the proportional relationship between battery charge and the number of photos one can take.
Bumper Cars– Storing and Using Energy in a Battery
Control the mass and velocity of a bumper car.
Drag Racing – Horsepower
Calculate horsepower and explore accelerating from 0 to 60 mph.
Roller Coaster - The Inclined Plane
Determine the amount of force required to pull roller coasters up inclined planes.
Parachute Drop - The Pulley
Explore and calculate force using different weights of people and different numbers of pulleys.
Seesaw – The Lever
Explore different weights and positions needed to balance a seesaw.
Ring the Bell – Acceleration
Explore the force that is necessary to “ring the bell.”
Roller Coaster– Scale Factor
Explore scale factors of roller coasters, dinosaurs and statues.

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