Number and OperationsIn grades 6 – 8, all students should:
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Concept |
Activity/Web Link |
Description |
Produced by |
Fractions, Decimals and Percents |
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 |
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 |
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 | Photo Booth– Rechargeable Batteries |
Determine the proportional relationship between battery charge and the number of photos one can take. |
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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. |
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Bumper Cars– Storing and Using Energy in a Battery |
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 |
Bumper Cars– Storing and Using Energy in a Battery |
Control the mass and velocity of a bumper car. |
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Parachute Drop - The Pulley |
Explore and calculate force using different weights of people and different numbers of pulleys. |
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Roller Coaster – Scale Factor |
Explore scale factor of roller coasters, dinosaurs and statues. |
AlgebraIn grades 6 – 8, all students should:
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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. |
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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 |
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 |
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 |
Photo Booth– Rechargeable Batteries |
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 |
Bumper Cars– Storing and Using Energy in a Battery |
Control the mass and velocity of a bumper car. |
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Drag Racing – Horsepower |
Calculate horsepower and explore accelerating from 0 to 60 mph. |
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Roller Coaster - The Inclined Plane |
Determine the amount of force required to pull roller coasters up inclined planes. |
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Parachute Drop - The Pulley |
Explore and calculate force using different weights of people and different numbers of pulleys. |
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Seesaw – The Lever |
Explore different weights and positions needed to balance a seesaw. |
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Ring the Bell – Acceleration |
Explore the force that is necessary to “ring the bell.” |
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Roller Coaster – Scale Factor |
Explore scale factors of roller coasters, dinosaurs and statues. |
GeometryIn grades 6 – 8, all students should:
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Concept |
Activity/Web Link |
Description |
Produced by |
Transformations – Reflections |
Place picnic tables to reflect a given arrangement. |
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Transformations – Rotations |
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 |
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 |
Roller Coaster - The Inclined Plane |
Determine the amount of force required to pull roller coasters up inclined planes. |
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Transformations - Translations |
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 |
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 |
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 |
See how proportional reasoning is used to create large-scale murals. |
MeasurementIn grades 6 – 8, all students should:
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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. |
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Measure an unknown height using information about a known height. | |||
Scale a figure for placement in a diorama. |
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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. |
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Scale Factors |
Measure distances on a map and calculate the actual distances. |
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Volume of a Cylinder |
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 |
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 |
Calculate the number of cans of spray paint needed to paint the lines on a basketball court. |
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Perimeter and Area |
Solve problems using perimeters and areas of rectangles. |
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Area of a Composite Figure |
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 |
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 |
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:
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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. |