Study Guide Name 1. TaLesson 5•5 End-of-Module Assessment Task •3 Date The grid below is made of 1 x 1 inch squares. Draw a rectangle that measures 3 1 by 1 inches, and find its area. 2 3 4 TaLesson 5•5 End-of-Module Assessment Task •3 Study Guide 2. Ms. Pennywinkle is the high school grounds keeper. She needs to re-sod the 1 3 5 4 soccer field and measures it to be 53 yards wide by 65 yards long. a. She wants to know how many square yards of sod she will need to completely cover the soccer field. Draw the soccer field, and label the measurements. b. How much sod will Ms. Pennywinkle need to cover the soccer field? c. If each square yard of sod costs 65 cents, how much will she have to pay to cover the soccer field? TaLesson 5•5 End-of-Module Assessment Task •3 Study Guide 3. A rectangular pool that has a length of 10 m, a width of 5 m, and a depth of 2.5 m is filled with water to a depth of 2 m. When an additional 30,000 liters of water is poured into the container, some water overflows. How many liters of water overflow the container? Use words, pictures, and numbers to explain your answer. (1 cm3 = 1 mL, 1 m = 100 cm, 1000 ml = 1 L) 1 2 3 5 4. When finding the area of a 4 foot by 5 foot rectangle, why can’t you just multiply 4 feet × 5 feet for one section and total area of 20 2 15 1 3 foot × 2 5 foot for another, giving a in2? Use an area model to explain your thinking and give the correct area of the rectangle. The area model shows that this method only considers two sections of the area. The total area is as follows: Study Guide TaLesson 5•5 End-of-Module Assessment Task •3 5. The Empire State Building has a volume of about 108,750,000 cubic feet. If the area of its base is 87,000, how tall is it (in feet)? 6. Read the statements. Circle True or False. Explain your choice for each using words and/or pictures. a. All quadrilaterals are trapezoids. True False True False True False All trapezoid are quadrilaterals. However, some quadrilaterals have no parallel sides. A trapezoid has at least one pair of parallel sides. b. All rectangles are rhombuses. Some rectangles have a length different from its width. The only rectangle that is a rhombus is a square. c. Squares are parallelograms, but not rectangles. All squares have 4 right angles, and are therefore rectangles. TaLesson 5•5 End-of-Module Assessment Task •3 Study Guide d. The opposite angles in a rhombus have the same measure. True False A rhombus is a parallelogram, so its opposite sides are parallel and its opposite angles are congruent. e. Because the angles in a rectangle are 90 , it is not a kite. A square is a rectangle because it has 4 right angles. It is True False also a kite because it's adjacent sides are congruent. Therefore, a rectangle could be a kite. f. The sum of the angle measures of any trapezoid is equal to the sum of the angle measures of any parallelogram. True False Trapezoids and parallelograms are both quadrilaterals. The sum of the angles of all quadrilaterals is 360 degrees. Study Guide Name 3. TaLesson 5•5 End-of-Module Assessment Task •3 Date The grid below is made of 1 x 1 inch squares. Draw a rectangle that measures 3 1 by 1 inches, and find its area. 2 3 4 TaLesson 5•5 End-of-Module Assessment Task •3 Study Guide 4. Ms. Pennywinkle is the high school grounds keeper. She needs to re-sod the 1 3 5 4 soccer field and measures it to be 53 yards wide by 65 yards long. d. She wants to know how many square yards of sod she will need to completely cover the soccer field. Draw the soccer field, and label the measurements. e. How much sod will Ms. Pennywinkle need to cover the soccer field? f. If each square yard of sod costs 65 cents, how much will she have to pay to cover the soccer field? TaLesson 5•5 End-of-Module Assessment Task •3 Study Guide 4. A rectangular pool that has a length of 10 m, a width of 5 m, and a depth of 2.5 m is filled with water to a depth of 2 m. When an additional 30,000 liters of water is poured into the container, some water overflows. How many liters of water overflow the container? Use words, pictures, and numbers to explain your answer. (1 cm3 = 1 mL, 1 m = 100 cm, 1000 ml = 1 L) 1 2 3 5 5. When finding the area of a 4 foot by 5 foot rectangle, why can’t you just multiply 4 feet × 5 feet for one section and total area of 20 2 15 1 3 foot × 2 5 foot for another, giving a in2? Use an area model to explain your thinking and give the correct area of the rectangle. Study Guide TaLesson 5•5 End-of-Module Assessment Task •3 6. The Empire State Building has a volume of about 108,750,000 cubic feet. If the area of its base is 87,000, how tall is it (in feet)? 7. Read the statements. Circle True or False. Explain your choice for each using words and/or pictures. g. All quadrilaterals are trapezoids. True False h. All rectangles are rhombuses. True False i. Squares are parallelograms, but not rectangles. True False Study Guide j. TaLesson 5•5 End-of-Module Assessment Task •3 The opposite angles in a rhombus have the same measure. True False k. Because the angles in a rectangle are 90 , it is not a kite. True False l. The sum of the angle measures of any trapezoid is equal to the sum of the angle measures of any parallelogram. True False
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