Number and OperationsIn grades 6 – 8, all students should:


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. 
AlgebraIn grades 6 – 8, all students should:


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 largerscale version. 

Complete a table with the ingredients for a scaledup 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. 
GeometryIn grades 6 – 8, all students should:


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 threedimensional 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 threedimensional 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 largescale murals. 
MeasurementIn grades 6 – 8, all students should:


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 ProbabilityIn grades 6 – 8, all students should:
 
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. 