EngageNY
How Do Dilations Map Angles?
The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure.
Civil War Trust
Map the Civil War
Mapmaking was a very important element in successfully planning attacks on enemies during the Civil War. Guide pupils through the process of pacing to find the average length of their steps, measure the distance between one object to the...
Radford University
The Wheels on the Bus
Find a cheaper way to keep buses going round and round. Small groups use their knowledge of ratios and proportions to find ways to save money on school transportation. The teams determine the number of miles buses currently travel by...
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Kentucky Educational Television
The Road to Proportional Reasoning
Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The last day of...
EngageNY
Examples of Dilations
Does it matter how many points to dilate? The resource presents problems of dilating curved figures. Class members find out that not only do they need to dilate several points but the points need to be distributed about the entire curve...
EngageNY
Informal Proofs of Properties of Dilations
Challenge the class to prove that the dilation properties always hold. The lesson develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member performing the...
EngageNY
Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day lesson plan is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given point. The...
WindWise Education
What Factors Influence Offshore Wind?
What is that out in the water on the horizon? Teams work together to study the coastline using maps to determine the best and worst locations to place an offshore wind farm. The teams then build a scale model wind farm to see what it...