advertisement

6th grade Math and Science Integrated Lesson- Student Worksheet I. Comparing the Sizes of the Sun, Earth, Moon and Jupiter-2D Size Comparison The diameter of the Sun is 1,392,000 km, while the equatorial diameter of the Earth is 12,756 km. Compared to the Earth the Sun is HUGE. 1. The sun’s diameter is 1,392,000 km. If the sun’s diameter of 1,392,000 km is represented by a 55 cm or 22 inches poster board, determine the diameter of the following bodies by finding the equivalent ratio: Moon is 3,475 km= _______________ Earth is 12,756 km= ______________ Jupiter is 142,984 km= ________________ 2. Create a model Use one full poster board as your sun’s diameter. Draw a line and label inside of this poster board each of the diameters calculated above. Explain: How many times bigger is the sun in comparison to? Earth? ____________ Moon? ____________ Jupiter? ____________ II. Comparing Earth size to other Universe Components When examining universe components and their sizes, scientists use the Earth size as a frame of reference instead of the sun due to its enormous size. Scientists question how many times bigger or smaller is a given object in space when compared to Earth size. Using planet Earth size in diameter, calculate the ratio from Earth to a given object in space. Once you calculate the ratio, write a statement explaining the relationship between Earth size and the object in space. (Teacher Note: This will review expressions. Ex sun is 110 times bigger than the Earth or 110x.) Earth size is 12, 756 km in diameter. Charon is 1,184 in diameter. Calculate the equivalent ratio of Charon to Earth. EX. 1,184: 12,756: or 1,184 to 12, 756 or 1,184/12,756 1. Complete the following table by finding the missing data: Name Diameter (km) Equivalent Ratio to Earth Earth 12,756 (12,756/12,756)= 1 Charon 1,184 (1,184/12,756)= 0.09 Mercury 4,879 Venus 12,104 Mars 0.53 Ceres 0.07 Jupiter 142,984 Saturn 9.45 Uranus 4.01 Neptune 49,528 Pluto 2,390 2. Rank the universe components from smallest to largest using their equivalent ratio to Earth. 3. Which components are smaller than Earth? 4. Which components are larger than Earth? III. Solar System Meter Stick Distance Scale Another important relationship for scientists is how far planets are from the sun. If the Solar system were reduced about six trillion times, Pluto on an average will be about one meter from the sun. On this scale, the sun itself will be about 0.2 millimeters in diameter. This is about the size of a pin. 1. The distance between the sun and Earth is approximately 150,000,000 kilometers (150 million km) or one Astronomical Unit (AU). Calculate the distance from the sun in Astronomical Units for each component: Planet Distance from Sun in Distance from the Kilometers Sun in Astronomical Units Mercury 57,910,000 Venus 108,200,000 Earth 149,600,000 1.00 AU Mars 227,940,000 Jupiter 778,330,000 Saturn 1,424,600,000 Uranus 2,873,550,000 Neptune 4,501,000,000 *Pluto 5,945,900,000 2. Steps for Meter Stick Scale: a. Use the meter stick scale from 0 to 100 centimeters to place the 8 planets and Pluto. b. Place the sun at the 0 centimeters or beginning mark of the meter stick. c. Pluto is 39.75 AU from the sun. If we round this distance to the nearest whole number, Pluto is 40 AU from the sun. Place Pluto at the 100 centimeters mark or end of the meter stick. d. Create a distance scale for the reminder planets and place on the appropriate place. Show your calculations. 3. Explain how mathematical principles and equivalent ratios help us understand the size of the planets, their location in the Solar System and their distance from the sun. Explain using 1-2 examples. Developed for CMCSS MSPNovember 2015 Training