EngageNY
Scale Drawings
Are you searching for a purpose for geometric constructions? Use an engaging approach to explore dilations. Scholars create dilations using a construction method of their choice. As they build their constructed dilation, they...
Curated OER
Scale/Ratio
Investigate the use of ratios in scale drawings. Learners scale objects up or down using ratios then find the actual size of something using ratios. They apply their knowledge of ratios as they make their own telescopes in science...
Curated OER
The Stained Glass Window
Middle schoolers use centimeter rulers and the attached worksheet containing a scale drawing of a stained glass window. The actual measurements of the stained glass window are given, and students are asked to find the actual measurement...
Balanced Assessment
Ostrich and Seahorse
Examine the relationship between ratios and scale. Young math scholars compare ratios of two models. They use the ratios to make a comparison between the two models. Each image uses a different scale, which requires learners to think...
EngageNY
How Do Dilations Map Lines, Rays, and Circles?
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
Balanced Assessment
Multi-Figures
Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...
Curated OER
Scale Drawing
Students use ratio and proportions to solve problems. In this geometry lesson, students apply ratio and proportions to real life scenarios.
Bowland
Alien Invasion
Win the war of the worlds! Scholars solve a variety of problems related to an alien invasion. They determine where spaceships have landed on a coordinate map, devise a plan to avoid the aliens, observe the aliens, and break a code to...
Discovery Education
Architects in Action
Hands-on and real-world applications are great ways to teach mathematical concepts. Creative thinkers examine how ratios are used to create scale models of buildings and structures. They practice working with ratios by looking at a map...
Achieve
Framing a House
If members of your class wonder where they can use the math they learn in middle school, let them discover the answer. Learners apply geometry concepts of scale and measure to calculate the costs of framing a house addition.
Achieve
Dairy Barn
Agriculture is truly a math-based profession! Help the dairy farmer determine the supplies needed to complete his barn. Using given dimensions, learners build equations and use units to determine the correct amount of materials.
Bowland
Torbury Festival
Have you been to Torbury Fair? In the set of four lessons, learners solve a myriad of problems related to a music festival, including situations involving floods, market stalls, cows, and emergency plans.
Balanced Assessment
Don't Fence Me In
Investigate the complexities of design problems using geometric concepts. The task asks scholars to design a fence for a horse based on the distance it can travel within one hour. It is a seemingly simple task — until individuals learn...
Curated OER
Scale
Students apply concepts of scales to solve problems. In this geometry lesson, students solve real world problems using scales, proportions and ratios. They predict the actual size of a model given the scale drawings.
Achieve
Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
Curated OER
Super Size It, Please!
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...
EngageNY
Logarithms—How Many Digits Do You Need?
Forget your ID number? Your pupils learn to use logarithms to determine the number of digits or characters necessary to create individual ID numbers for all members of a group.
Illustrative Mathematics
Dilating a Line
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...
Curated OER
Building Scales and Ratios
Students solve problems using scales and ratios. In this algebra lesson, students create drawings using scales of 1:12. They follow a key to help them draw different buildings using the right scales. They also complete word problems as a...
Achieve
Fences
Pupils design a fence for a backyard pool. Scholars develop a fence design based on given constraints, determine the amount of material they need, and calculate the cost of the project.
Curated OER
A Walk on the West Side
Learners comprehend what makes up the physical community. Read and construct scale drawings and models. Explore the history of infrastructures and how the contributions of science, math and industry have led to the development of their...
Curated OER
Scale factors: Ratios and Proportions
Pupils create building and models using scale factors. In this geometry lesson plan, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
Curated OER
Solving Equations Using Models
Explore mathematics by analyzing images. As they view pictures on the SMART Board, individuals must write corresponding algebraic equations. They utilize models to visualize the math expressions.
Illustrative Mathematics
Running a Mile
The single question in this activity has multiple ways to be solved. Two boys ran a mile. Their times were similar, except one time was a fraction of the other. Who ran faster? In demonstrating the answer to this problem, upper graders...