1. Math 5 Unit Review Instructor: Mrs. Tew Turner

2. In this lesson we will review for the unit assessment and learn test taking strategies.

3. Math Warm-up Add. Look for shortcuts. 9/10 +1/2 + 2/3 + 1/10 + 1/2

4. Math Warm-up - ANSWER Add. Look for shortcuts. 9/10 + 1/2 + 2/3 + 1/10 + 1/2 (9/10 + 1/10) + (1/2 + 1/2) + (2/3) 2 2/3

5. In this unit you learned about geometry. Today we will review all that you have learned, as well as go over test taking strategies.

6. Vocabulary Review Polygon – is a closed plane figure made up of line segments. Regular polygon – a polygon that has sides of equal length and angles of equal measure.

7. Vocabulary Review Line segment – is part of line and has 2 endpoints. Plane– a plane is an endless flat surface.

8. Vocabulary Review Equilateral triangle – All sides are equal. Isosceles triangle – Two sides are the same length. Scalene triangle – No sides are the same length. Right triangle – One angle is a right angle(90º).

9. Vocabulary Review Acute triangle – All 3 angles are acute angles (less than 90º). Obtuse triangle – One angle is an obtuse angle (greater than 90º).

10. Vocabulary Review Quadrilateral – A quadrilateral is any polygon with 4 sides. Parallelogram – both pairs of opposite sides parallel and equal in length. Trapezoid– only 1 pair of parallel sides. Rectangle – a parallelogram with 4 right angles.

11. Vocabulary Review Rhombus– a parallelogram with all sides the same length. Square– A rectangle with all sides the same length. A square can also be called a rhombus. Generalization – A generalization can be made based on rules.

12. Vocabulary Review coordinate plane- is a flat surface formed by two intersecting, perpendicular lines. Each of these lines is called an axis. x -axis- The horizontal line. y -axis- The vertical line.

13. Vocabulary Review Quadrants- The x-axis and the y- axis divide the coordinate plane into four areas. These areas are called quadrants. Ordered Pairs- Digits that indicate where a point is located on a coordinate grid. Ex: (3,2)

14. Vocabulary Review x -coordinate- The first number in an ordered pair. It is graphed on the x-axis. y -coordinate- The second number in an ordered pair. It is graphed on the y-axis.

15. Vocabulary Review Area – the amount of surface it covers X =AREA estimation - to give an approximate value rather than an exact answer

16. Vocabulary Review fraction – a symbol, such as ¾, used to describe one or more parts of a whole that is divided into equal parts. A fraction can name a part of a whole, a part of a set, a location on a number line, or a division of whole numbers.

17. Vocabulary Review factors - numbers that are multiplied to get a product 7 × 7 = 49 product - the number that is the result of multiplying two or more factors 7 × 7 = 49

18. Vocabulary-Review geometric solid- a figure that has three dimensions and takes up space polyhedron – another name for a 3-D figure, which means ‘many faces’

19. Vocabulary-Review face – the flat sides of a solid edges – connects the faces of solids vertices - corners that connect the corners of a solid

20. Vocabulary-Review volume- the number of cubic units needed to fill a solid figure (measured as u 3 ) cubic unit – the volume of a cube that measures 1 unit on each edge

21. Vocabulary-Review rectangular prism- A solid (3- dimensional) object which has six faces that are rectangles prism – solid with two congruent parallel bases and faces that are parallelograms

22. Vocabulary-Review depth – extent downward or backward or inward; "the depth of the water"; "depth of a shelf"; "depth of a closet"

23. Understanding 2-Dimensional Shapes Review

24. A polygon is a closed plane figure made up of straight line segments. There are 2 types of polygons: Regular polygons Irregular polygons

25. Observe the regular polygons on the following slide. What makes them regular?

26. Regular Polygon Examples

27. What makes them regular polygons? ANSWER 1.All their sides are equal length. 2.All the interior angles have the same measurements.

28. Observe the irregular polygons on the following slide. What makes them irregular?

29. Irregular Polygon Examples

30. What makes them irregular polygons? ANSWER 1.All their sides are not equal length. 2. Some of the interior angles have different measurements.

31. Classifying 2 Dimensional Shapes Review

32. http://www.mathsisfun.com/quadr ilaterals.html Let’s review classifying quadrilaterals by revisiting this website

33. In this lesson we continued to explore how to categorize shapes based on their common properties. You need to remember the properties of shapes and how they are categorized. Review the content of this lesson as many times as you need. There is so much vocabulary in geometry!

34. Coordinate Planes and Real World Problems Review

35. Coordinate Grids help to locate points or destinations. We need to follow the x-axis, then the y-axis. This is used in locating places on a map and used to describe exact locations with a grid.

36. In your Math Notebook Independent Practice Using the coordinate grid, which ordered pair represents the location of the School?

37. On a map, coordinates are given in degrees of longitude and latitude. (longitude, latitude)

38. (longitude, latitude) Longitude = north or south (x-axis) Latitude = east or west (y-axis)

39. Find the longitude and latitude of Jackson, Mississippi.

40. In your Math Notebook Find the longitude and latitude of Jackson, Mississippi. about 90 o W, 32 o N

41. What city is located near 85° W, 38° N?

42. What city is located near 85° W, 38° N? Frankfort, Kentucky

43. Calculating Area with Fractional Side Lengths Review

44. We used multiplying fractions in finding the area of rectangles with fractional lengths. We learned how to model the fractional parts with square units to understand how the multiplication and division of fractions are related.

45. Draw an area model for each of the following lengths: 1.1/3 x 5/6 = 2.3/4 x 2/5 = 3.1/3 x 4/9 = In your Math Notebook Independent Practice

46. Answer Key How to Draw the Model 1.1/3 x 5/6 = 5/18 1/3 5/6

47. How to Draw the Model 2. 3/4 x 2/5 = 6/20 3/4 2/5

48. How to Draw the Model 3. 1/3 x 4/9 = 4/27 1/3 4/9

49. Attributes of 3-D Figures Review

50. Geometric solids are 3 dimensional figures that have faces, edges, and vertices.

51. To review, let’s revisit this website: http://tinyurl.com/3dy5t5

52. Measure Volume Using Cubic Units Review

53. Volume is measured in cubic units. Two common units of volume are the cubic centimeter and the cubic inch. The volume of a rectangular prism is a measure of how much space the object takes up.

54. Let’s revisit this website: http://tinyurl.com/4oennh

55. How do we calculate the volume of this object?

56. Volume of Right Rectangular Prism Review

57. Finding the volume of a rectangular prism can be calculated using the following equation: Length x Width x Height Volume is measured in cubic units.

58. Find the Volume of the rectangular prisms.

59. 6in x 6in x 3in = 108 in 3

60. Find the Volume of the rectangular prisms.

61. 2ft x 3ft x 6ft = 36 ft 3

62. Volume and Real World Problems Review

63. 1. Gomer is digging a hole for a rectangular well measuring 38 feet long by 22 feet wide by 8 feet deep. How much water will the well hold, assuming that 1 cubic foot = 7.5 gallons.

64. 2. Concrete costs $105 per cubic yard. Nat is making a rectangular concrete garage floor measuring 33 feet long by 15 feet wide by 1 foot thick.How much will the concrete cost?

65. 1.Gomer is digging a hole for a rectangular well measuring 38 feet long by 22 feet wide by 8 feet deep. How much water will the well hold, assuming that 1 cubic foot = 7.5 gallons. 38 x 22 x 8 = 6,688 cu. ft. 6,688 cu ft. x 7.5 gal/cu. ft. = 50,160 gal.

66. 2. costs $105 per cubic yard. 33 feet long by 15 feet wide by 1 foot thick. How much will the concrete cost? 11 x 5 x 1/3 = 18 1/3 or (33 x 15 x 1) / 3 18 1/3 x 105 = $1,925

67. Combined Volume Review

68. Students determine the volume of concrete needed to build the steps in the diagram below.

70. Test Taking Strategies (Write these in your Math Notebook) Read each problem twice. Underline key words. Underline the information you need to solve a problem. Circle any data that is provided.

71. Test Taking Strategies (Write these in your Math Notebook) Solve the problem. Show your work as you solve the problem. Check your work. Use estimation to check if your answer is reasonable.

72. Today you reviewed for the unit assessment and learned about test taking strategies. Good Work with this lesson.