Formative Assessment 4
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1 Draw, construct, and describe geometrical figures and describe the relationships between them. Solve real life and mathematical problems involving angle measure, area, surface area, and volume. Formative Assessment 4 Solve and answer all of the problems on this assessment. 1 11, Equation Response 1. A map of the United States uses a scale of 1.5 centimeters: 200 miles. Sean measures the distance between Atlanta, Georgia and Fort Lauderdale, Florida and finds they are 4.8 centimeters apart. What is the distance between the two cities in miles? MAFS.G A triangle has two sides that 9 measure 10 of a meter and 3 5 of a meter. What measurement can the third side of the triangle not be greater than? MAFS.G Write and solve an equation to find the value of x. MAFS.G.2.5 3x 2x +10 _ 5. The box of cereal shown below has a volume of cubic inches. The width is 4.6 inches and the length is 6.8 inches. In inches, what is the height of the cereal box? MAFS.G.2.6 _ 3. The circumference of a circle measures 88 cm. Find the length of the circle s diameter. Use = MAFS.G.2.4 page 1
2 For 6 7, Sean is building a model of a pirate ship. The model was built using the scale 1in. = ft. For 9 10, Courtney is setting the table for dinner. She places the smaller salad plate on top of the larger dinner plate. The salad plate has a radius of inches. Use = What is the area of the salad plate rounded to the nearest square inch? MAFS.7.G If the length of the model is 24 inches long, what is the length of the actual ship? MAFS.7.G If the actual length of the mast on the pirate ship is feet, what is the 2 length of the mast on the model? MAFS.7.G The m AEB is 135 o. MAFS.G The dinner plate has a diameter of 12 inches. Determine the portion of the area of the dinner plate that is visible? Round your answer to the nearest square inch. MAFS.7.G.2.4 _ a. What is the measure of DEC? 11. The right square pyramid below has a volume of cubic meters. The base has an edge length of 9 meters. What is the height of the pyramid? MAFS.G.2.6 b. What is the measure of DEA? 9 m _ page 2
3 12 13, Multi Select Response 12. Which of the following solid figures will have the same cross section when cut horizontally? MAFS.7.G.1.3 cylinder hexagonal pyramid hemisphere cone square pyramid triangular pyramid 13. Which of the following shapes have at least one pair of parallel lines and one right angle? MAFS.7.G.1.2 Right triangle Right trapezoid Rhombus Rectangle Square Kite 14. Multiple Choice Response Which of the following lengths will form a triangle? MAFS.7.G cm, 5.4 cm, 5.4 cm 7.2 cm, 5.9 cm, 1.3 cm 11.5 cm, 4.2 cm, 7.6 cm 3.1 cm, 6.6 cm cm 15. Equation Response Use the diagram below to answer the following questions. BFD and CFE are right angles. MAFS.7.G.2.5 a. Write an equation to determine the value of x in the diagram. b. What is the measure of CFD and DFE? Justify your answer. c. What is the measure of AFE? page 3
4 16. Graphic Response Ramon wants to create a scale drawing of the pool below. The scale drawing needs to fit on a square sheet of paper that is at most 16 cm wide. MAFS.7.G.1 20 m 48 m 12m 40 m a. Select an appropriate scale for the drawing. 17. Matching Response Match each figure with its cross section after an intersection with a vertical plane. MAFS.7.G.1.3 Shape Triangle Rectangle Cylinder Triangular Prism Cone Square Pyramid 18. Equation Response In the figure below, the measure of AMH = 125 MAFS.7.G.2.5 b. Create the scale drawing based on your scale. Write and solve an equation to find the measure of TMH. page 4
5 19 20, Graphic Response 19. The figure below is intersected by a vertical plane. Draw the cross section. Include the dimensions of the cross section in your drawing. MAFS.7.G m 22. Before hosting an annual competition, the kennel club members decide to paint the winner s podium in the club s colors. The second and third place sections will be painted green and the first place section will be painted gold. MAFS.7.G m a. Draw and label a net to represent the first place sections to be painted. 20. Draw a quadrilateral with two pairs of congruent sides and exactly two lines of symmetry. MAFS.7.G.1.2 b. Find the total area that will be painted gold , Equation Response 21. A circle has a circumference of cm. What is the area of the circle to the nearest whole centimeter? Use = MAFS.7.G.2.4 c. Find the total area that will be painted green. Justify your answer. page 5
6 23. Natural Language Response. Describe the cross section that will occur when the figure is intersected by a horizontal plane. MAFS.7.G Jenny is making candles in the shape of a cylinder. How many cubic centimeters of wax are needed to fill the cylinder? Use = MAFS.7.G in. 14 in , Equation Response 24. Find the surface area of the triangular prism below. MAFS.7.G cm 13 cm 12 cm 3 cm 26. An 8 inch by 10 inch photograph is enlarged by a scale factor of What are the dimensions of the enlarged photograph? MAFS.7.G Find the area of the skating rink below. Use = MAFS.7.G ft. 90 ft. page 6
7 28. Find the measure of TCO in the figure below. MAFS.7.G.2.5 T S 4x 5 C 2x + 17 O 29 30, Multiple Choice Response 29. Which figure has two pairs of congruent sides and more than 2 lines of symmetry? MAFS.7.G.1.2 rhombus square trapezoid rectangle 30. Which of the following will NOT be the result when a cone is intersected by a plane? circle rectangle semicircle triangle page 7
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1 Version 2.0. Related Below-Grade and Above-Grade Standards for Purposes of Planning for Vertical Scaling:
Claim 1: Concepts and Procedures Students can explain and apply mathematical concepts and carry out mathematical procedures with precision and fluency. Content Domain: Geometry Target E [a]: Draw, construct,
Fair Game Review. Chapter 4. Name Date. Find the area of the square or rectangle Find the area of the patio.
Name Date Chapter Fair Game Review Find the area of the square or rectangle... ft cm 0 ft cm.. in. d in. d. Find the area of the patio. ft 0 ft Copright Big Ideas Learning, LLC Big Ideas Math Green Name
Name Date. Chapter 15 Final Review
Name Date Chapter 15 Final Review Tell whether the events are independent or dependent. Explain. 9) You spin a spinner twice. First Spin: You spin a 2. Second Spin: You spin an odd number. 10) Your committee
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Symmetry 1 1.Find the next figure None of these 2.Find the next figure 3.Regular pentagon has line of symmetry. 4.Equlilateral triangle has.. lines of symmetry. 5.Regular hexagon has.. lines of symmetry.
Performance Task: In the image below, there are three points (J, K, and I) located on different edges of a cube.
Cube Cross Sections Performance Task: In the image below, there are three points (J, K, and I) located on different edges of a cube. points I, K, and J. This plane would create a cross section through
June 2016 Regents GEOMETRY COMMON CORE
1 A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation? 4) 2
Benchmark Test : Grade 6 Math. Class/Grade. Benchmark: MA.6.G.4.3. Benchmark: MA.6.G.4.2
Name lassrade ate enchmark: M... enchmark: M... Look at the figure below. The lengths of four of the five sides of the figure are shown. What is the area of this triangle? cm cm cm cm f the perimeter of
Use a calculator to find the volume of a sphere when the radius is 6. (V = 4 3 πr 3 )
Use a calculator to find the volume of a sphere when the radius is 6. (V = 4 3 πr 3 ) A telescope is supported by a tower that casts a shadow 40 meters long. The distance from the top of the tower to the