Materials DE Marker 15 Small White Boards Reminders Use similar triangles to find the length of side x: 6 7.5 10 x 150 Get out your agenda if you see your name below. You need to come to my room tomorrow. Period 4 Period 5 Period 6 4-10 Scale Drawings and Models How do I determine scale and scale factor between models and reality? Questions: What does scale mean? Notes: Scale – the ratio of a length on a drawing or model to the length of an actual object Note: a Scale can have different units Example: Questions: What does scale factor mean? Notes: Scale Factor – gives how many TIMES larger or smaller an object is Note: a Scale Factor must have the same units and can be written using a colon (ex. 1:23,000) Example: 1:16,000,000 1:1,300,000 Questions: How do I use proportions with scale drawing? Notes: Example: A map shows 2 inches = 6 miles If we measure a distance of 2.75 inches on a map, how many miles is this in the real world? Set up a proportion: 2 𝑖𝑛𝑐ℎ𝑒𝑠 6 𝑚𝑖𝑙𝑒𝑠 = 2.75 𝑖𝑛𝑐ℎ𝑒𝑠 𝑥 𝑚𝑖𝑙𝑒𝑠 Cross multiply and solve for x. 2𝑥 = 6 2.75 𝑥= 16.5 = 8.25 𝑚𝑖𝑙𝑒𝑠 2 Questions: How do I determine scale factor? Notes: Make sure both amounts are using the SAME UNITS. 1 inch on a map = 10 feet in reality Since there at 12 inches in a foot 1 inch = 10(12) inches 1 inch = 120 inches 1:120 The scale factor from the map to reality is 120. THIS MEANS THAT IF WE MULTIPLY A MEASURMENT ON THE MAP BY 120, WE WILL GET THE LENGTH IN THE REAL WORLD. Name__________________________ Create a World 1. Think of an imaginary place a. a mountain range b. a group of islands c. Middle Earth 2. Draw a map of your imaginary place a. (2 POINTS) – made good use of color and put effort into your drawing b. (2 POINTS) – labeled at least 4 landmarks (towns, mountains, lakes, etc.) c. (1 POINT) – gave your imaginary place a name 3. (1 POINT) Make an appropriate scale for your map (i.e. 1 inch = 10 miles) a. (4 POINTS) make a table of distances that includes the distances between 4 landmarks MAKE SURE YOUR SCALE IS CORRECT (USE A RULER) BO ISLAND Whale Hangout 8 miles 15 miles 20 miles Scale: 1 inch = 5 miles 5 miles YO ISLAND Mermaid Reef From To Distance (miles) YO Island BO Island 15 miles Whale Hangout Mermaid Reef 20 Miles Mermaid Reef Yo Island 5 Miles Bo island Whale hangout 8 miles Homework Create a World Activity AND Cornell Notes Summary