Name _______________________ ... Area of Rectangles Classwork What is the area of the following rectangles/squares?
Transcription
Name _______________________ ... Area of Rectangles Classwork What is the area of the following rectangles/squares?
Name _______________________ Date ___________________ Area of Rectangles Classwork What is the area of the following rectangles/squares? 1) 8 by 6 = _________ 2) 9 by 9 = _________ 3) 2 by 8 = _________ 4) 5 by 3 = _________ 5) 7 by 3 = _________ 6) 6 by 6 = _________ 7) On the grid paper sketch two rectangles one with the dimensions 4 x 6 and the other 2 x 5. Label the area of each rectangle. NJ Center for Teaching and Learning ~1~ www.njctl.org Homework 8) The area of a rectangle or square is always stated in what units of measurement? a. cubed b. squared c. feet d. rectangle 9) The area of a rectangle gives the dimensions of the inside of the shape of the area around the outside of the shape? True or False ____________ What is the area of the following rectangles/squares? 10) 10 by 9 = _______ 11) 11 by 11 = _______ 12) Sketch one square and one rectangle on the grid paper. Label the side measurements and area of each. NJ Center for Teaching and Learning ~2~ www.njctl.org Perimeter of Rectangles Classwork 13) The perimeter of a polygon is the sum of each of the lengths of the sides. True or False ______________ 14) When knowing the length of one side of a square you can know the perimeter of the square. True or False _________? 15) What is the perimeter (P) of the following rectangles? Write your answers inside the shapes NJ Center for Teaching and Learning ~3~ www.njctl.org Homework 16) Sketch the following shapes on the grid paper and label each one: Rectangle A 9 x 12 Rectangle B 4 x 9 Square C 5 x 5 Perimeter Area Rectangle A ____________ __________ square units Rectangle B ____________ __________ square units Square C ____________ NJ Center for Teaching and Learning __________ square units ~4~ www.njctl.org Area and Perimeter Word Problems Classwork 17) The large square is divided into unit squares. Each is 1 centimeter long and 1 centimeter high. Draw a rectangle that has the same area, but a different perimeter. What is the area and perimeter of your rectangle? Area ______cm squared Perimeter ________ cm 18) Max is helping his dad put a fence around their rectangular garden patch. The long side of the patch measures 21 feet. The shorter side measures 9 feet. What is the length of fence that Max and his dad need? __________________________ 19) Max puts 24 feet of fencing around his flowerbed. It is in the shape of a rectangle. If the length of the flowerbed is 8 feet, what is the width? _____________________ NJ Center for Teaching and Learning ~5~ www.njctl.org Homework 20) Measure the sides of this rectangle in inches and centimeters to the closet measurement. inches __________________ centimeters _____________ What is the perimeter and area? Perimeter Inches _______________ Centimeters _________ Area Inches _______________ Centimeters _________ 21) Issac is painting the floor of his basement. If the floor measures 12 feet by 20 feet how many square feet is the floor? _____ If each gallon of paint covers 15 square feet, how many gallons of paint will Issac need? ___________________ 22) Issac’s garage is 264 square feet. If the length is 12 feet, what is the width of the garage? _______________ NJ Center for Teaching and Learning ~6~ www.njctl.org 23) For the following questions determine whether the situation is asking for perimeter (P) or area (A) and circle the correct answer. Then find the perimeter or area. If needed draw a figure to help you. Remember to label the units correctly. a) Charles wants to build a picture frame for one of his paintings. The painting is 26 inches tall and 23 inches wide. How many inches of frame does he need? P or A _______________________ b) In baseball, the distance between bases is 90 feet. Ben hits a home run and had to run around all four bases. How far did Ben run? P or A __________________ c) Tom is putting a wallpaper border around the top of the wall in his bedroom. His bedroom is 4 yards long and 3 yards wide. How many yards of border does Tom need? P or A _____________________ d) Mary is putting a new floor in her kitchen. Her floor is 10 meters long and 9 meters wide. How much flooring does Mary need? P or A _____________________ NJ Center for Teaching and Learning ~7~ www.njctl.org Protractor Classwork 24) Measure these angles with a protractor and state the degrees and what type of angle they are. NJ Center for Teaching and Learning ~8~ www.njctl.org Homework 25) Label the above protractor with the degrees going 0 - 180. NJ Center for Teaching and Learning ~9~ www.njctl.org Types of Angles Classwork 26) Draw and label three acute angles. 27) Draw and label three obtuse angles. 28) Draw a straight angle. 29) Draw a right angle. NJ Center for Teaching and Learning ~ 10 ~ www.njctl.org Homework 30) Find different types of angles in your surroundings and classify them as acute, obtuse, straight or right. Find three types of each and fill in the chart. Acute NJ Center for Teaching and Learning Obtuse Straight ~ 11 ~ Right www.njctl.org Lines, Line Segments & Rays Classwork 31) Correctly label each of the below as a line, ray or line segment. ______________ ______________ ______________ ______________ ______________ NJ Center for Teaching and Learning ~ 12 ~ www.njctl.org Homework 32) Correctly name each line, line segment or ray. ______________ ______________ ______________ ______________ NJ Center for Teaching and Learning ~ 13 ~ www.njctl.org Types of Lines Classwork 33) Draw a line parallel to the following line. 34) Draw a line perpendicular to the following line. Homework 35) List three sets or parallel lines in your surroundings. 36) List three sets of perpendicular lines in your surroundings. NJ Center for Teaching and Learning ~ 14 ~ www.njctl.org Lines of Symmetry Classwork 37) Draw all of the lines of symmetry in the following shapes. If there is not line of symmetry write none under the shape. NJ Center for Teaching and Learning ~ 15 ~ www.njctl.org Homework 38) Draw four objects from your surroundings that have a least one line of symmetry. Draw all of the lines of symmetry. Unit Review Multiple Choices – Circle the letter to the correct answer. 1. Michael makes stained glass windows. He used this piece of stained glass in one of the windows. How many right angles does this appear to have? a. 3 b. 2 c. 1 d. 0 2. Which of the following terms best describes this figure? a. Line b. Ray c. Line segment d. Angle NJ Center for Teaching and Learning ~ 16 ~ www.njctl.org 3. Mrs. Baldwin drew an obtuse angle on the chalkboard. Which of the following could be the angle she drew? a. b. c. d. 4. Sam and Melissa are discussing properties of lines during math class. Which statement(s) best describes perpendicular lines? a. They cross each other at one point. b. They always form obtuse angles. c. They never cross each other. d. They only form right angles. 5. Jim drew a figure. Which two sides of the figure appear to form a right angle? A B C ___ ___ a. AB and BB ___ ___ b. AC and AB NJ Center for Teaching and Learning ___ ___ c. AC and CB ___ ___ d. AB and BC ~ 17 ~ www.njctl.org 6. Lisa cut a piece of paper into a shape of an equilateral triangle. Which of the following could be her triangle? a. c. b. d. 7. How many acute angles does an obtuse triangle have? a. 0 c. 2 b. 1 d. 3 8. Tammy wrote the first letter of her name on a piece of paper. How many lines of symmetry doe the letter T appear to have? a. 0 T b. 1 c. 2 d. 3 9. The figure shown has 6 sides of equal length. How many lines of symmetry does the figure have? a. 4 c. 8 b. 6 d. 10 NJ Center for Teaching and Learning ~ 18 ~ www.njctl.org 10. Ron drew the following figures. Which figure has more than one line of symmetry? a. b. c. d. 11. Dave is painting the ceiling of his bedroom. The wall to wall carpeting is 144 square feet. If the length of the room in 16 feet, what is the width? a. 8 feet c. 9 feet b. 12 feet d. 16 feet 12. Paul is installing a fence around a new flower garden for his mom. His mom wants to garden to be 9 feet long and 6 feet wide. How many feet of fencing will Paul need to completely enclose the garden? a. 18 feet b. 30 feet b. 24 feet c. 45 feet 13. Catherine is putting a border around the floor in her bedroom. The length of the bedroom is 14 feet and the width is 12 feet. What is the length of border that she needs? a. 52 square yards c. 52 yards b. 168 square yards d. 168 yards 14. Bob’s square bedroom is about to get carpeted. One wall measures 11 feet. How much carpeting is needed to cover the floor? a. 11 square yards d. 121 square yards b. 22 square yards c. 44 square yards NJ Center for Teaching and Learning ~ 19 ~ www.njctl.org Short Answer – Write the answer on the line. 15. Jennifer draws a line through the trapezoid. Is the line a line of symmetry? _________ 16. Claudia drew the figure below. Draw the lines of symmetry on Claudia’s figure. 17. a. Use your protractor to measure this angle in degrees. __________ b. Is the angle acute, obtuse, right or straight? __________________ NJ Center for Teaching and Learning ~ 20 ~ www.njctl.org 18. a. Use your protractor to measure this angle in degrees. __________ b. Is the angle acute, obtuse, right or straight? __________________ NJ Center for Teaching and Learning ~ 21 ~ www.njctl.org Extended Constructed Response – Answer all parts of the question. 19. Craig is making a rectangular garden. The garden is 5 feet long by 3 feet wide. Draw Craig’s garden on the grid. =1 square foot Craig has 15 feet of fencing. Will he have enough to completely fence the garden? Show your work or explain your answer. Craig also wants to cover his entire garden with plastic to control weeds. How much plastic does Craig need to cover the entire garden? Show your work or explain your answer. NJ Center for Teaching and Learning ~ 22 ~ www.njctl.org Answer Key 1. 2. 3. 4. 5. 6. 7. 48 units squared 81 units squared 16 units squared 15 units squared 21 units squared 36 units squared B A C 24 units squared 4x6 10 units squared 17. Drawn rectangles will vary Perimeter will vary Area = 20 units squared 18. 60 feet 19. 4 feet 7 20. 2 inches centimeter 2x5 8. b 9. False 10. 90 units squared 11. 121 units squared 12. Answers will vary 13. True 14. True 15. 4 10 22 110 18 72 14 6 98 Rectangle A: 42, 108 Rectangle B: 26, 36 Rectangle C: 20, 25 10 P= 9 inches 3 10 49 centimeter, A= 4 inches centimeter 100 21. 240 square feet 16 gallons 22. 22 feet 23. a. P, 98 inches b. P, 360 feet c. P, 14 yards d. A, 90 square meters 14 16. NJ Center for Teaching and Learning ~ 23 ~ www.njctl.org 24. 44° acute line AB ray AB ray BA 69° acute 143° obtuse 97° obtuse 33. 34. 112.5° obtuse 37° acute 120° obtuse 25. 135° 157.5° 112.5° 123.75° 32° acute 90° 101.25° 78.75° 67.5° 56.25° 45° 146.25° 168.75° 33.75° 22.5° 35. 36. 37. Answers will vary Answers will vary 11.25° 180° 0° 26. Answers will vary. Angles < 90° 27. Answers will vary. Angles > 90° 28. Angle = 180° (straight line) 29. Angle = 90° (make sure angle box is drawn) 30. Charts will vary 31. line segment line ray ray line None None 38. Answers will vary 32. line segment AB NJ Center for Teaching and Learning ~ 24 ~ www.njctl.org Unit Review 19. 1. A 2. B 3. B 4. A, D 5. D 6. A 7. C 8. B 9. B 10. C 11. C 12. B 13. C 14. D 15. No 16. B. No, the perimeter is 16 ft. C. 15 sq. feet is needed for fencing. 17. 18. NJ Center for Teaching and Learning Acute Obtuse ~ 25 ~ www.njctl.org