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1 Lesson Plan Course Title: Concepts of Engineering and Technology Session Title: Reading Rulers Performance Objective: By the end of the lesson all students will be able to make precise measurements using the "Inch" and the "Metric." The degree of precision will be determined by each student s educational level to the satisfaction of the teacher. (For example, beginners would be able to make measurements at 1/4 of an inch, whereas more advanced would be able to make measurements at 1/32" or 1/16".) Specific Objectives: Day 1 = Take Pre-test to access each student s current knowledge level. Day 2 = Students who don t get 80% passing rate or better will receive one-on-two or three help from the teacher on what they missed Create their own Big Inch Manipulative Day 2-4 = Play the assigned online games and complete them. Everyone will complete all the levels of Fun Brain Measure it for Centimeters and Inches Select three (3) of the remaining online games to play ml ; ; or Day 5 = Take and pass the Ruler Test with 80% or better OR make a gain of 30%+ Preparation TEKS Correlations: This lesson, as published, correlates to the following TEKS. Any changes/alterations to the activities may result in the elimination of any or all of the TEKS listed. Concepts of Engineering and Technology: (c)(2)(A) use clear and concise written, verbal, and visual communication techniques (c)(3)(B)(G) follow safety guidelines as described in various manuals, instructions, and regulations; demonstrate the use of precision measuring instruments. Interdisciplinary Correlations: Algebra I: 1

2 111.32(b)(1) - Basic understandings Foundation concepts for high school mathematics. As presented in Grades K-8, the basic understandings of number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry; measurement; and probability and statistics are essential foundations for all work in high school mathematics. Students will continue to build on this foundation as they expand their understanding through other mathematical experiences (b)(3)(A)(B) use symbols to represent unknowns and variables; and look for patterns and represent generalizations algebraically (b)(10)(A)(B) solve quadratic equations using concrete models, tables, graphs, and algebraic methods; and make connections among the solutions (roots) of quadratic equations, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function. Geometry: (b)(6)(A)(C) describe and draw the intersection of a given plane with various three-dimensional geometric figures; use orthographic and isometric views of three-dimensional geometric figures to represent and construct three-dimensional geometric figures and solve problems (b)(8)(A)(C)(D)(E)(F) find areas of regular polygons, circles, and composite figures; find areas of sectors and arc lengths of circles using proportional reasoning; derive, extend, and use the Pythagorean Theorem; find surface areas and volumes of prisms, pyramids, spheres, cones, cylinders, and composites of these figures in problem situations; use area models to connect geometry to probability and statistics; and use conversions between measurement systems to solve problems in real-world situations. Integrated Physics and Chemistry: (c)(2)(C)(E) collect data and make measurements with precision; communicate valid conclusions. Physics: (c)(2)(H) make measurements with accuracy and precision and record data using scientific notation and International System (SI) units; Teacher Preparation: At the end of class the day before you begin this lesson, ask students to give you some examples of why accurate measurement is needed. Hint = clothing, building wall height, etc. The teacher should have 4 Big Inch Manipulative examples made to show the students. 2

5 III. Students play the online games as teacher works with other students. A. Everyone will complete all the levels of Fun Brain Measure it for Centimeters and Inches: B. Select three (3) of the remaining online games to play: Teacher should have students show they have completed levels, for 25 points, each one they complete as a daily grade. See Performance Objectives for online resources for students to use. ; nline_games/measurement_game/measureme nt.html ; ; /25.html; or gth1_centi/ IV. Take the Ruler Test and pass it with 80% or better OR make a gain of 30%+ A. Ruler Test 10 questions B. Ruler Test 20 questions Sometimes a student still can t pass but if he/she goes from 20% to say 55% = that s major improvement! Walk around and make sure they do their own work during the test. Copy and paste Multiple Intelligences Graphic in appropriate place in left column. Verbal Linguistic Logical Mathematical Visual Spatial Musical Rhythmic Bodily Kinesthetic Intrapersonal Interpersonal Naturalist Existentialist Application Guided Practice (LSI Quadrant III): Go through the Reading The Ruler Pre-test grading PowerPoint presentation and have students check 5

6 their work. Demonstrate how to create the Big Inch Manipulative and have 4 examples for students to look at/use. Work one-on-three with students over what they missed on the Pre-test. Independent Practice (LSI Quadrant III): 1. Take Reading The Ruler Pre-test 2. Create the Big Inch Manipulative 3. Play online measurement games 4. Take the Ruler Test Summary Review (LSI Quadrants I and IV): By the end of the lesson, all students will be able to make precise measurements using the "Inch" and the "Metric." The degree of precision will determined by each students educational level and to the satisfaction of the teacher. For example, beginners would be able to make measurements at 1/4 of an inch, whereas more advanced would be able to make measurements at 1/32" or 1/16". Evaluation Informal Assessment (LSI Quadrant III): Make sure everyone has input or discussion at least once; and they demonstrate good teamwork when making the Big Inch Manipulative. Formal Assessment (LSI Quadrant III, IV): Reading The Ruler Pre-test and Ruler Test. Extension/Enrichment (LSI Quadrant IV): Offer for BONUS: The online games 6

7 1/16 2/16 1/8 3/16 4/16 2/8 1/4" 5/16 6/16 3/8 7/16 DIVISIONS OF ONE INCH 8/16 4/8 2/4 1/2" 9/16 10/16 5/8 11/16 12/16 6/8 3/4" 13/16 14/16 7/8 15/16 16/16 8/8 4/4 2/2 1 7

8 Reading A Ruler: The Big Inch Manipulative OBJECTIVE: By the end of the lesson, all students will be able to make precise measurements using the "Inch" and the "Metric." The degree of precision will be determined by each student s educational level. For example, beginners would be able to make measurements at 1/4 of an inch, whereas more advanced would be able to make measurements at 1/32" or 1/16". TIMELINE: 1/2 Day of regular 45 minute class period Step 1 = Start with a blank sheet of printer paper 8

9 Step 2 = Fold it in half long ways or like a "hot dog" Step 3 = Cut it in half with scissors 9

10 Step 4 = Take one of the halves and fold it in half two times like a "hot dog" 10

11 Step 5 = Now cut out those strips and color them using four (4) different colors. Step 6 = Take one (1) piece and fold it in half like a "hamburger" 11

12 Step 7 = Take one (1) piece and fold it in half two times like a "hamburger" Step 8 = Take one (1) piece and fold it in half three times like a "hamburger" 12

13 Step 9 = Take one (1) piece and fold it in half four times like a "hamburger" Step 10 = Take the other one (1) piece and fold it in half four times like a "hamburger" 13

14 Step 11 = Now tape your cut out parts/sections/fractions starting with the largest ones to the smallest ones. 14

15 15

16 Step 12 = Now label the parts/sections/fractions accordingly 16

17 17

18 18

19 Reading The Ruler Pre-test Centimeters Inches Word Bank Word Bank: each word will be used at least once, maybe twice. 3/8 5/ / /16 2 1/8 2 ½ 3 ¼ 3 ½ 3 3/4 4 1/2 4 7/8 5 1/4 3 5/8 3 15/16 19

20 NAME: DATE: TEACHER: CLASS: READING THE RULER PRE-TEST: INSTRUCTIONS: Each question is worth 2 points. Take your time and do your BEST. If you score 80% or better you will not have to practice and re-take this test. USING THE PRE-TEST RULER PROVIDED, WHAT IS THE LENGTH OF THE LINE GIVEN IN INCHES? DO NOT use a real ruler! Give the length between the letter(s) using the rulers below A to B = 8. A to D = 9. J to O = 10. L to R = 11. A to B = 12. A to E = 13. A to J = 20

21 Use the following measurement word bank to answer questions on this page, they maybe used once or NOT at all. 7/32 7/16 7/8 1 ¼ 2 1/16 2 7/16 3 1/ / cm 0.65cm 2.4cm 2.45cm 2.8cm 3.9cm 5.25cm 5.5cm 6.6cm 8.7cm 8.9cm 10.7cm 12cm 12.2cm 13.2cm What is the symbol for the following? 14. Foot = 15. Inch = USING THE PRE-TEST RULER PROVIDED, WHAT IS THE LENGTH OF THE LINE GIVEN IN CENTIMETERS (CM)? cm cm cm cm 25. cm 26. cm 27. cm 28. cm 29. cm 30. cm 21

22 You may use a calculator on this part. (Worth 8 points each) 31. On the map below, First Avenue and Second Avenue are parallel. A city planner proposes to locate a small garden and park on the triangular island formed by the intersections of the four streets shown. What are the three angles of the garden? a. 90 0, 65 0, 25 0 b. 90 0, 50 0, 40 0 c. 90 0, 60 0, 30 0 d , 40 0, What is the volume of the 3- dimensional object with the dimensions shown in the 3 to the right? views a. 120 b. 440 c. 512 d

23 33. The drawing to the right shows part of the plan for a new underground lawn-sprinkler system. Which is closest to the length of the section of plastic pipe from point A to point C? a. 4.7 ft b. 5.7 ft c. 6.7 ft d. 7.7 ft 34. Henry built a wooden storage shed in the shape of a rectangular prism for his tools. The figure below shows the dimensions of the storage shed. If Henry plans to paint only the top, front, left and right sides of his shed, which is closest to the surface area that will be painted? a. 121 ft 2 b. 181 ft 2 c. 154 ft 2 d. 91 ft 2 23

24 35. The figure below shows a CD in its rectangular storage case. Which is closest to the area of the storage case NOT occupied by the CD? a. 55 cm 2 b. 46 cm 2 c. 51 cm 2 d. 60 cm 2 24

25 Name: Date: Teacher: Class: Ruler Test 10 Questions Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. The SYMBOL for Foot is: a. In b. c. Ft d. 2. The SYMBOL for Inch is: a. In b. c. d. Ft 3. What is this measurement? a. 3 1/2 c. 4 1/4 b. 4 1/2 d. 2 1/2 4. What is this measurement? a. 2 4/8 c. 3 1/2 b. 4 1/2 d. 3 4/8 25

26 5. What is this measurement? a. 4 1/2 c. 5 b. 4 7/8 d. 4 1/4 6. What is this measurement in mm? a. 2.4cm c. 2.3mm b. 24mm d. 3.3mm 7. What is this measurement? a. 1/2 c. 7/16 b. 1 d. 7/8 26

27 8. What is the volume of a 3-dimensional object with the dimensions shown in the 3 views below? a. 840 cu ft b cu ft c. 512 cu ft d. 440 cu ft 9. On the map below, First Avenue and Second Avenue are parallel. A city planner proposes to locate a small garden and park on the triangular island formed by the intersections of the four streets shown. Main Street Slate Street First Avenue Second Avenue What are the three angles of the garden? a. 90 0, 50 0, 40 0 c. 90 0, 70 0, 20 0 b. 70 0, 70 0, 40 0 d. 90 0, 30 0,

28 10. The drawing shows part of the plan for a new underground lawnsprinkler system. Plan for Sprinkler A Plastic Pipe B C Which is closest to the length of the section of plastic pipe from point A to point C? a. 7.9 ft c. 9.9 ft b. 6.9 ft d. 5.7 ft 28

29 Ruler Test Answer Section MULTIPLE CHOICE 1. ANS: d. PTS: 1 2. ANS: c. PTS: 1 3. ANS: c. PTS: 1 4. ANS: c. PTS: 1 5. ANS: d. PTS: 1 6. ANS: b. PTS: 1 7. ANS: c. PTS: 1 8. ANS: a. PTS: 1 9. ANS: c. PTS: ANS: c. PTS: 1 29

30 Name: Date: Teacher: Class: Ruler Test 20 Questions Matching Identify the letter (a. thru m.) that has the correct measurement for questions in 1-5 below. 1. #16. above = 2. #17. above = 3. #18. above = 4. #19. above = 5. #20. above = a. 8 13/32 b. 1 ¼ c. 6 13/16 d. 3 1/16 e. 7/32 f. 6 9/32 g. 6 11/32 h. 2 1/16 i. 2 7/16 j. 7 21/32 k. 7 23/32 l. 6 26/32 m. 7/16 30

31 Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 6. The SYMBOL for Foot is: a. In b. c. Ft d. 7. The SYMBOL for Inch is: a. In b. c. d. Ft 8. What is this measurement? a. 3 1/2 c. 4 1/4 b. 4 1/2 d. 2 1/2 9. What is this measurement? a. 3 5/8 c. 3 4/8 b. 2 3/8 d. 2 7/8 31

32 10. What is this measurement? a. 2 4/8 c. 3 1/2 b. 4 1/2 d. 3 4/8 11. What is this measurement? a. 4 1/2 c. 5 b. 4 7/8 d. 4 1/4 12. What is this measurement? a. 3 7/8 c. 3 1/2 b. 3 1/4 d. 4 7/8 13. What is this measurement in mm? a. 2.4cm c. 2.3mm b. 24mm d. 3.3mm 32

33 14. What is this measurement? a. 1/2 c. 7/16 b. 1 d. 7/8 15. What is this measurement in mm? a. 5.6 c b d What is the volume of a 3-dimensional object with the dimensions shown in the 3 views below? a. 840 cu ft c. 512 cu ft b cu ft d. 440 cu ft 33

34 17. On the map below, First Avenue and Second Avenue are parallel. A city planner proposes to locate a small garden and park on the triangular island formed by the intersections of the four streets shown. Main Street Slate First Avenue Second Avenue What are the three angles of the garden? a. 90 0, 50 0, 40 0 c. 90 0, 70 0, 20 0 b. 70 0, 70 0, 40 0 d. 90 0, 30 0, The drawing shows part of the plan for a new underground lawn-sprinkler system. Plan for Sprinkler A Plastic B C Which is closest to the length of the section of plastic pipe from point A to point C? a. 7.9 ft c. 9.9 ft b. 6.9 ft d. 5.7 ft 34

35 19. Henry built a wooden storage shed in the shape of a rectangular prism for his tools. The figure below shows the dimensions of the storage shed. (19. Continued next page) If Henry plans to paint only the top, front, left and right sides of his shed, which is closest to the surface area that will be painted? a. 181 ft 2 c. 121 ft 2 b. 156 ft 2 d. 154 ft 2 35

36 20. The figure below shows a CD in its rectangular storage case. Which is closest to the area of the storage case NOT occupied by the CD? a. 55 cm 2 c. 51 cm 2 b. 81 cm 2 d. 77 cm 2 36

37 Ruler Test Answer Section MATCHING 1. ANS: d. PTS: 1 2. ANS: i. PTS: 1 3. ANS: h. PTS: 1 4. ANS: b. PTS: 1 5. ANS: m. PTS: 1 MULTIPLE CHOICE 6. ANS: d. PTS: 1 7. ANS: c. PTS: 1 8. ANS: c. PTS: 1 9. ANS: a. PTS: ANS: c. PTS: ANS: d. PTS: ANS: a. PTS: ANS: b. PTS: ANS: c. PTS: ANS: d. PTS: ANS: a. PTS: ANS: c. PTS: ANS: c. PTS: ANS: b. PTS: ANS: a. PTS: 1 37

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