Module 7.1 lessons 18 19
- 1. Module 7.1 Lessons 1819.notebook 1 September 28, 2015 Lesson 18 Aim: Computing Actual Lengths from a Scale Drawing 9/28/15 Homework: 1.) Lesson 18 Problem Set #1, 4, 6, 7 2.) Lesson 19 Problem Set #4 3.) End of Module Exam Friday 10/2 Do Now Exit Ticket from Lesson 17
- 5. Module 7.1 Lessons 1819.notebook 5 September 28, 2015 Example 1: Basketball at Recess? Vincent proposes an idea to the student government to install a basketball hoop along with a court marked with all the shooting lines and boundary lines at his school for students to use at recess. He presents a plan to install a half court design as shown below. After checking with school administration, he is told it will be approved if it will fit on the empty lot that measures 25 feet by 75 feet on the school property. Will the lot be big enough for the court he planned? S.78
- 7. Module 7.1 Lessons 1819.notebook 7 September 28, 2015 The constant of proportionality, k = the scale factor y = drawing length x = actual length In example 1: k = y = kx
- 8. Module 7.1 Lessons 1819.notebook 8 September 28, 2015 Find the actual length: Find the actual width:
- 9. Module 7.1 Lessons 1819.notebook 9 September 28, 2015 Example 2: The diagram shown represents a garden. The scale is 1 cm for every 20 meters of actual length. Find the actual length and width of the garden based upon the given drawing. Each square in the drawing measures 1 cm by 1 cm. What is the scale factor (the constant of proportionality)? Find actual length: Find the actual width: k = S.79 y = kx
- 10. Module 7.1 Lessons 1819.notebook 10 September 28, 2015 Example 3: A graphic designer is creating an advertisement for a tablet. She needs to englarge the picture given here so that 0.25 inches on the scale picture will correspond to 1 inch on the actual advertisement. What will be the length and width of the tablet on the advertisement? Find the scale factor: Find the actual length: Find the actual width: S.80
- 11. Module 7.1 Lessons 1819.notebook 11 September 28, 2015 Use the diagrams below to find the scale factor and then find the area of each figure. Example 1: S.84
- 12. Module 7.1 Lessons 1819.notebook 12 September 28, 2015 Use the diagrams below to find the scale factor and then find the area of each figure. Example 2: S.84
- 13. Module 7.1 Lessons 1819.notebook 13 September 28, 2015 Use the diagrams below to find the scale factor and then find the area of each figure. Example 3: S.85
- 15. Module 7.1 Lessons 1819.notebook 15 September 28, 2015 Does the actual area you found reflect the results we found from Examples 1–3? Explain how you know. S.86
- 16. Module 7.1 Lessons 1819.notebook 16 September 28, 2015 Closing: • What does the scale factor tell us about the relationship between the actual picture and the scale drawing? • How does a scale drawing differ from other drawings?