EngageNY
Making Scale Drawings Using the Parallel Method
How many ways can you create a dilation? Many! Individuals strengthen their understanding of dilations by using various methods to create them. The new technique builds on pupils' understanding of the ratio method. Using the ratio,...
Illustrative Mathematics
Finding Trig Values
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the...
Mathematics Assessment Project
Circles and Squares
Squares, and circles ... and squares, and more circles. In this high school assessment task, pupils investigate the ratio of areas of two squares that are circumscribed and inscribed in a circle. They then determine the ratio of the area...
Curated OER
Scale Drawing: Perimeter and Area of a Room
Using a scale drawing with some dimensions missing, aspiring do-it-yourself homeowners calculate the remaining sides of a compound-shaped room. They apply the principles of ratio and proportion to determine how much crown molding will be...
Curated OER
Scale Drawing: Insulating an Attic
Have your aspiring contractors compute the length of two walls in a compound-shaped attic when given a scale drawing of it and the other dimensions. They find the area, determine the number of rolls of insulation they will need to...
Curated OER
Scale Drawing: Insulating Another Attic
Give your future household repair specialists a real-life chance to apply the concepts of ratio and proportion. Using a scale drawing, they calculate the missing dimensions of two walls of a compound-shaped attic. They then figure how...
Alabama Learning Exchange
Comparing Fuel Economy
Compute fuel economy and gas mileage. Why? So you can teach rates and ratios, of course! Middle schoolers calculate the rate of miles per gallon for various vehicles. They research each vehicle, its mileage per gallon, and cost per...
Curated OER
Introduction to Cause and Effect
Teach your special education students about cause and effect with this SMART board activity. After analyzing real-life examples of cause and effect -'What happens when you eat too much? What happens when you don't get enough sleep?"-...
Curated OER
M&M's and the Scientific Method
Sixth graders explore the scientific method by conducting an in class experiment. In this scientific averages lesson, 6th graders discuss the concept of the scientific method, and define the different mathematical averages, mean, median...
Yummy Math
Curiosity Landed on Mars
Out of this world math and science are mixed together on a worksheet that would be a great enrichment activity classrooms that are studying our solar system. The information presented is best suited toward middle school math, and...
TOPS Learning Systems
PI in the SKY
What is pi anyway? After this set of activities, your pupils should have multiple answers to this question. Investigate pi with various experiments and discoveries. Calculate the ratio circumference/diameter for different sized...
University of Adeaide
Basic Trigonometry and Radians
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
National Sailing Hall of Fame
Sail Area Calculations
Do bigger sails mean that the sailboat goes faster? Middle and high schoolers compare sailboats, and learn that simply calculating sail area is not enough. A slideshow presentation demonstrates how to calculate the Sail...
NASA
Project X-51
In a nose-cone to nose-cone competition, which rocket will prevail? Teams form rocket companies to design and build a rocket while competing against other teams in an economic challenge. The team that comes up with the best benefit/cost...
Curated OER
Refraction B2—When is Light Reflected Internally?
Physics is phun in this lesson. Young physicists use a lightbox to test how and where light is refracted and reflected as it travels through transparent materials. Angles of incidence and refraction, sine of both angles, and the...
Balanced Assessment
Star from Square
Quilting is not only beautiful and unique—it is a mathematical art. Show your classes how to design a quilting block while practicing area and circumference of circles. Scholars create a star from a square and then find the circumference...
EngageNY
Special Lines in Triangles (part 2)
Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Tech Museum of Innovation
Hoop Glider Design Challenge
The fourth installment of a five-part unit has young engineers designing and testing hoop gliders. They adjust the ratio of the front loop and back loop of the glider to determine the best design for the longest flight.
EngageNY
Counting Problems
Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...
Noyce Foundation
Measuring Mammals
Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...
Chemistry Collective
Virtual Lab: Acid Dilution Problem
There's no risk of injury when working with virtual HCl! Challenge your young chemists with making calculations to create a 3M solution of HCl from the concentrated acid. They first calculate the correct ratios of HCl and water and then...
Flipped Math
Special Right Triangles I
Introduce a special relationship with right triangles. Learners discover the ratio of the sides in a 30-60-90 triangle. After watching several examples and seeing two different methods, pupils find unknown sides in triangles. Scholars...
Curated OER
Measurement and Conversion of Units in a Recipe
In a cross-curricular measurement and literacy lesson, your class will identify and compare cooking measurement instruments. They read a recipe and sequence a set of similar instructions in which the steps have been mixed up....
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