January * Turn in HW * Make sure you are ready by end of the timer (pencil, notebook, in seat) New Year Review: TAB In
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1 January Monday Tuesday Wednesday Thursday Friday New Year's Worksheet & Review Transformations Scale Transformations Quiz * Turn in HW * Make sure you are ready by end of the timer (pencil, notebook, in seat) Jan 6 4:12 AM Why? New Year Review: TAB In When? How/Where? What if..? Dec 17 1:12 AM 1
2 WARM UP Match each translation with an algebraic expression. 1) A A' 2) A C B C' B' C A' C' 3) A 4) A C' C A' B' B C C' B B' B A' B' A. (x 1, y 4) B. (x, y 4) C. (x + 5, y ) D. (x + 2, y 5) Table of Contents 3 Scale Factor p. Jan 4 1:17 AM Scaleleo Scale Ella Jan 5 8:36 PM 2
3 From the Video: Definition: A scale factor is a number used as a multiplier in scaling. Jan 5 10:58 PM Two types of Scaling: Type 1: Makes the object bigger Type 2: Makes the object smaller Jan 5 8:53 PM 3
4 Practice: Making the object bigger Suppose the original dimensions of the walkie talkie in the video were as shown below. 12 in What were the new dimensions after "Scaleleo" made it bigger by a scale of x2? Width: 4 in Height: Suppose "Scaleleo" had made it bigger by a scale of x5. What would the new dimensions have been? Width: Height: Jan 5 11:19 PM More Practice: Making the object bigger 1) A botany student drew a sketch of a tree using a scale of 1 inch : 3 meters. Find the actual height of the tree, if it measures 2 inches in the sketch. Scale factor: Actual height: 2) The length of a snake was 2 inches in a photograph. What was the actual length of the snake, if the scale of the photograph was 1 inch : 5 feet? Scale factor: Actual length: Jan 5 11:37 PM 4
5 30 Dec 18 10:36 PM Practice: Making the object smaller Suppose the original diameter of the tires in the video were as shown below. 24 in What was the new diameter after "Scaleleo" made it smaller by a scale of x 1? 3 Diameter: Suppose "Scaleleo" had changed it by a scale of x 1. What would the new dimensions have been? 6 Diameter: Jan 5 11:28 PM 5
6 More Practice: Making the object smaller 3) A map company used a scale of 1 inch : 50 miles to depict the lengths of different rivers. What is the length of a river on map, which is actually 300 miles long? Scale factor: Map length: 4) Matt is preparing a map of different places he passes by while going to school. His school is 5 miles from his house. If he uses a scale of 1 inch: 0.5 mile, then what is the distance between his school and his house on the map? Scale factor: Map distance: Jan 5 11:37 PM Directions: The evil genius Scaleleo has escaped prison once again and has gone on a rampage scaling objects. Please help Scale Ella determine the scale factor of each object. Then determine how she needs the re scale the object to return it to its original size. Jan 5 11:04 PM 6
7 Jan 5 11:00 PM Jan 5 11:00 PM 7
8 Real World Scale Problems 5. A model of a dinosaur skeleton was made using a scale of 1 in : 15 in in a museum. If the size of the dinosaur's tail in the model is 8 in, then find its actual length. What is the scale factor? What is the actual length? 6. The length of a pole in a picture is 5 inches. The scale of the picture was given to be as 1 inch : 17 inches. What would be the actual length of the pole? What is the actual length? transformations 2 Jan 5 11:04 PM 7. The width of a window is 5 inches in an architect's blueprint. If the scale used to draw the blueprint is 1 inch : 1 foot, then what would be the actual width of the window? What is the scale factor? What is the actual width? 8. An artist drew a picture of a giant wheel and the scale he used was 1 inch : 6 feet. If the diameter of the giant wheel measured 21 inches on his drawing board, then find the actual diameter of the giant wheel. What is the scale factor? What is the actual diameter? Jan 6 12:04 AM 8
9 9. A map company used a scale of 1 inch : 150 miles to depict the lengths of different rivers. What is the length of a river on map, which is actually 900 miles long? What is the scale factor? What is the length on the map? 10. The actual height of a pillar is 36 feet. What would be the height of the pillar on the paper, if an artist used a scale of 1 cm : 6 feet while sketching it on paper? What is the scale factor? What is the height on the paper? Jan 6 12:05 AM Dec 18 9:38 PM 9
10 Table of Contents Dec 30 1:53 PM Cover T.o.C. 3 Parts of a Circle Parts of a Circle Circumference Circumference Finding d & r 9 Finding d & r Arc Length 11 Arc Length Area Formulas 13 Area Formulas Area of a Circle Finding r from A 18 Area of a Sector Area of a Sector Area of a Circle15 Finding r from A Quiz Warm Up 21 Circles Review 22 Transformations23 Foldable Notes 24 Translations 25 Translations 26 Translations 2 27 Translations 2 28 Reflections Scale Factor 31 Reflections Notes 10
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