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The Golden Ratio
Seventh graders investigate a ratio found in nature and in numerous pieces of artwork throughout history. The lesson is cross-curricular and builds a sense of appreciation of design for students.
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Triangles
In this triangles worksheet, students solve six word problems where they determine the angles measures in different triangles.
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Pythagorean Theorem
Students discover the Pythagorean Theorem. In this discovering the Pythagorean Theorem lesson, students measure the lengths of various triangles to the nearest centimeter. Students record their measurements in a table. ...
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Introduction to Field Mapping with a Compass and Pace
Students practice using compass and calibrate their own pace, take field measurements of pre-set course with compass and pace, convert measurements into map, using angles and vectors, and make composite class map by adjusting different...
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Up For Change?
Students explore similar objects. They participate in a series of hands-on, multimedia and online activities to examine how the edge length affects the angle measures, perimeters and areas of similar regular polygons. Students find the...
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Mini-Metric Olympics
Students participate in a Mini-Olympics with measurements. In this measurement lesson, students throw items and predict how far they will go. They measure the actual distance and find the difference between that and their estimate.
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Planets in Proportion
Learners apply estimation strategies and proportional reasoning to determine a scale comparing the planetary bodies to Earth. They convert measurements of time and distance using scientific notation. Both the metric and customary units...
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Rules of the Roll
Middle schoolers roll a ball down a plank and measure the distance it travels. Students graph the distances the ball travels as they change the height of the incline (increase slope).
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How Do Things Fall?
Learners study forces by examining the force of gravitational attraction. They observe how objects fall and measure the force of gravitational attraction upon objects. Students discover that, since gravitational constants are different...
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Algebra/Geometry Institute Summer 2009 - Triangles and the Pythagorean Theorem
Seventh graders find the perimeter and area of triangles. In this finding the perimeter and area of triangles lesson, 7th graders find the perimeter and area of triangles given two sides. Students find the missing side by...
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Cells All Around
Learners measure the size of an epithelial cell and to estimate the number of epithelial cells in a given area of the body. After watching a video on cells, student groups perform an experiment using a microscope to view some of their...
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Scaling Down Art
Learners change the scale of a work of art using ratios, percentages, and proportions. While this is technically an art lesson, there is quite a bit of mathematics involved in converting to the correct scale.
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Picking Pythagoras
Students discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
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Proportions
Students perform mathematical operations to create proportional measurements, after listening to the David Schwartz book, If You Hopped Like a Frog.
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Area: Algebra/Geometry Institute Summer 2009
Students compute the area of a rectangle. In this area lesson, students measure the sides of rectangles and squares. They cut figures, measure them, and determine the area of each given figure. Students justify their...
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Catching Rays
Students investigate solar collectors. In this energy lesson, students create and demonstrate solar collectors. They will use measurement, data collecting, and analyze their findings to determine the best orientations for their solar...
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You Are What You Eat (Grades 5-8)
Students gain an enhanced understanding of the relationship between proper nutrition and good health. Through use of video, hands-on activities and interaction, students measure energy in food, and recognize sources of vitamins and...
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How Far Did They Go?
Students create a map. In this direction and distance instructional activity, students come up with familiar places in the community and calculate the distances from these places to the school. Students create a map that displays these...
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Suspension Bridges: Connecting Lives
Students explore bridges. In this bridge lesson, students design and build a suspension bridge after visiting related websites and reviewing famous bridges in non-fiction books. Students follow the instructions from the...
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Scatter Plots
Seventh graders investigate how to make and set up a scatter plot. In this statistics lesson, 7th graders collect data and plot it. They analyze their data and discuss their results.
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Getting to the Point
Learners determine location by using the technique of triangulation. They imagine that they are out in the wilderness and have come to the top of a ridge. How can one identify the ridge on the topo map? How can one figure out where you...
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A Tough Nut to Crack
Children, based on a set of criteria, evaluate the quality of pecans. They research recorded history of pecan trees as well as how their seeds moved across western Missouri into southeastern Kansas, Oklahoma, Texas and Mexico. In...
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Equations in Motion: Design and construct a mobile
Students participate in a lesson that covers the concepts of solving equations and inequalities. To master the concept they must demonstrate visually and verbally how both sides of an equation must be balanced. They construct a balanced...
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A Wet Welcome Home
Learners investigate data collection and analysis. In this Algebra I lesson, students create a scatter plot and find the equation of best fit in a simulation of a leaking water pipe.