IM 7.5.2 Lesson: Changing Temperatures

Which pair of arrows doesn't belong? [i]Explain [/i]your reasoning. [br]1.[br] 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[/img][br][br]3.[br] 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[/img][br][br]4. 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[/img]
Complete the table.
Draw a number line diagram for each situation (a-e) in the table above.
Complete the table.
Draw a number line diagram for each situation (a-d) in the table above.
For the numbers [math]a[/math] and [math]b[/math] represented in the figure, which expression is equal to [math]\mid a+b\mid[/math]?[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfMAAAB7CAYAAABgm2lKAAATUklEQVR4Ae3diXsUVb7G8flPZN/3LYACsqORHTciKBB0FGS5yDIoAg6yigKKQVDBJTAmEBhGCEiYAZURzOgl6KCJKAFMWLKSkEBIwnufU9406SYEAiFVp/pbz9NPurqru875/Kr7TS1d9ScxIIAAAggggIDVAn+yuvU0HgEEEEAAAQREmLMQIIAAAgggYLkAYW55AWk+AggggAAChDnLAAIIIIAAApYLEOaWF5DmI4AAAgggQJizDCCAAAIIIGC5AGFueQFpft0IlJaWKjs7WyUlJXUzQ+aCAAII1ECAMK8BFpOGr0Baaqomjp+g77/7PnwR6DkCCHhWgDD3bGlomJcENm3cpK6du+jwN994qVm0BQEEEHAECHMWBARuQ2DY4MEaN/ZpZWZm3sbUTIIAAgjUrQBhXrfezM1CAbO/vMF99bTg1VdVXl5uYQ9oMgII+F2AMPd7henfXQvk5uSoUf0GWrZ4iS5cuKAD//yXtsTGatfnnzsHxd31DHgDBBBA4C4FCPO7BOTl/hcwod2udRsteX2xpk+ZqhnTpjmb3LtHRGju7DkqKiryPwI9RAABTwsQ5p4uD43zgsDgyEfUsV17PRs90Vkjz8vLU35+vt5Z87aaNW6ijN8zvNBM2oAAAmEsQJiHcfHp+q0FzP5ys1betFFjvbF8hcx4xRAfF+c8vj0hoeIh/iKAAAKuCBDmrrAzU1sEzIli2rRspYH9+uv8+fNBzU7Yuk0tmjbTpx9/EvQ4IwgggEBdCxDmdS3O/KwS2JOYqOZNmmr+vFdvaPfmT2OdA+OSv/32hud4AAEEEKhLAcK8LrWZl3UCM6ZNV8N69fX7mTNBbb927Zo2fbhRjRs01Llz54KeYwQBBBCoawHCvK7FmZ81AmVlZc4pXM3P0kKH/Lw8TZ38orp1iVBOTk7o04wjgAACdSpAmNcpNzOzSSA3N1dRTzzpbEq/ePFiUNN379rtHMn+/voNQQfFBU3ECAIIIFBHAoR5JeirV69WGuNuuAuY87D37tlTzz/3nBYtfE0m3K9cuaLdu3apf5++Gv34E0pPTw93JvqPAAIeECDMJec3w7GffKJJz7/ggZLQBK8IfLRxo1o2a64zp09r7FNj1OuBHurds5fat2nrrLH/euJXmX3nDAgggIDbAmEZ5ub82sVFRc5FM5YvWers9zQn/ziWkuJ2PZi/RwRMSKccTXFO2Wp+W15cXCxzZPsHGzZwGVSP1IhmIIDAdYGwCnNzQNPJ337TP3bu1P9Mm6bWLVo6F9AwBzj9ZfZs1rKuLxfcQwABBBCwSCAswtzs5zxy+IiWvP66Hh81yjkJiLkKVsWtf58+OnbsmEVlo6kIIIAAAghcF/B1mJsD2hJ373YuitG1cxc1adgoEOAVQW5OCPL26jUqKSm5rsI9BBBAAAEELBLwXZibUDan3fx40ybd37XbDeFdEeIVf4dERjqb3s1+dG4YsAywDHhpGeAAS4vS1OWm+iLMy8vKlJmRoS8PHtRrCxbogW7dnbN2VQR2dX/HREUp9tNYbhiwDLAMeG4ZOPzNYZcjgtnbImB9mJuD2r48cFDPRkerQ9t2t1wTry7Yee76cQRYYMEy4P4yMHf2HFuyhHa6LGB9mJvNUFlZWfpi715Fjx/vXJKSLyH3v4SoATVgGbj7ZYAwdzkhLZq99WFe2doE+y9paZozc5Y6tmtf5QFvoV8w5kIaZu2eAQEEEEAAAVsFfBXmlYtw8uRJvRcT45xyM6JTZ+f82qFBbsa7R3RV0r4kfmNeGY/7CCCAAAJWCfg2zCuqkJ2drb179ui1BQs1oG+/G/apmxPGTPrz87pw/nzFS/iLAAIIIICAVQK+D/OKahRdKtJvv/6m+Lg4jRo+PGgTfKvmLZyzwlVMy18EEEAAAQRsEgibMK9cFLOP/MjhwxozOso5YM6snZurYJlzcDMggAACCCBgm0BYhnnlIv38009atnSpRgwd6lxEo/Jz3EcAAQQQQMAGgbAPc1Oka+XlOpWern1ffGFDzWgjAggggAACQQKEeRAHIwgggAACCNgnQJjbVzNajAACCCCAQJAAYR7EwQgCCCCAAAL2CRDm9tWMFiOAAAIIIBAkQJgHcTCCAAIIIICAfQKEuX01o8UIIIAAAggECRDmQRyMIICA2wIFBQVKPnJEK5Yu07yXX9G2+Hjl5uYqMzNT76x5W3l5eW43kfkj4DkBwtxzJaFBCISvQNaFC1q+dJm6demiKZMma9mSpZo4foIWLXxNUye/6Fw46dKlS+ELRM8RuIkAYX4TGB5GAIG6FTCnWf74o4/UrnUb52yMuTk5Ki8vd9bIHxs5Ss0aN9H4p5/hksV1WxbmZokAYW5JoWgmAn4XKCwoUIe2bTX7pZm6mH8xqLvPToh2LmO8csWKoMcZQQCBPwQIc5YEBBDwhMDW+Hi1bNZcW2Jjde3ataA2RY8b71wU6Ydjx4IeZwQBBP4QIMxZEhBAwBMCgx+O1JDIR3Til1+C2mM2tY9+/AlnM3thYWHQc4wggMAfAoQ5SwICCHhCoH2btnpmzBgVhRzgdizlmHr37KUObduxv9wTlaIRXhQgzL1YFdqEQBgKtGrewjnA7fLly0G9X71qlZo0bKTZM2cGPc4IAghcFyDMr1twDwEEXBTo1L6DnnryycDvyM1+84MHDjpr5Q3r1dexlBQXW8esEfC2AGHu7frQOgTCRmD+vHmK6NRZ6959V/9JTta2rVv14guTNHLYcGfN/OLF4CPcvQpz5coVXS4u9mrzaJdPBQhznxaWbiFgm8CFCxc0Y9p09eh+vyIHPaRZL72k5ORkvbF8uTq2a2/N/vIzZ85ozapV2rljh4qKimwrA+21VIAwt7RwNBsBPwqYtVqzBp6fn6+Kfefmry1r5aYm5uh7cyraNi1b6YFu3bV+3XvKysryY7nok4cECHMPFYOmIICAPwTOnT2rhwYMUIP76jk3czzAXxcu1I8//qicnBxrtjL4oxrh0QvCPDzqTC8RQKCOBeLj4px9/RWBbv6ak+I8Fz1RsZ98ouPHjxPqdVwTP8+OMPdzdekbAgi4JlBSUqJnxo4NrJ1XDnXzM7xHHnpYc2bN0sEDB9i37lqV/DNjwtw/taQnCCDgMYHTp0+rbavWVQa6CfdG9Rs4+9ZHDB0mczpbc7EZBgTuRIAwvxM1XoOABQIxa98VN3cN1qxa7RyZX3mtvLr75qd5a99+R6k/p8pceIYBgdsVIMxvV4rpELBMoLrQ4Lk/DkzzqoMJ9aWLFzsHy1m22NFclwQIc5fgmS0C91pgQN9+4uauQf8+fdW5Q8ebbmav6p+Jbl0itHD+fCXt2+f8RO9eLye8vz8ECHN/1JFeIHCDQHZ2tri5a3Dy5EnnQLeqQjv0sQF9++qjTZuUmZHhnEEu9DKwNxSYBxCoJECYV8LgLgIIIFCbAtsTEpyD3EKD24ybi8f8cT760dr1+eeBk+TU5vx5r/ARIMzDp9b0FAEE6lDgVHp6lZvYW7do6ZxvfvFfF+nw4cO6evVqHbaKWflVgDD3a2XpFwIIuCZgTuk6a8aMoH3l5nrsUyZP1o6E7Tpx4oRKS0tdax8z9p8AYe6/mtIjBBBwWWDvnj3OJnSzOd0cmb5yxQr9kpamgoICsS/c5eL4dPaEuU8LS7cQQMAdARPYc2fP0cMDB2lzbCxHpLtThrCbK2EediWnwwggcC8FMjIy9O9Dh1TMNc3vJTPvHSJAmIeAMIoAAggggIBtAoS5bRWjvQgggAACCIQIEOYhIIwigAACCCBgmwBhblvFaC8CCCCAAAIhAoR5CAijCCCAAAII2CZAmNtWMdqLAAIIIIBAiABhHgLCKAIIIIAAArYJEOa2VYz2IoAAAgggECJAmIeAMIoAAggggIBtAoS5bRWjvQgggAACCIQIEOYhIIwigAACCCBgmwBhblvFaC8CCCCAAAIhAoR5CAijCCCAAAII2CZAmNtWMdqLAAIIIIBAiABhHgLCKAIIIIAAArYJEOa2VYz2IoAAAgggECJAmIeAMIoAAggggIBtAoS5bRWjvQgggAACCIQIEOYhIIwigAACCCBgmwBhblvFaC8CCCCAAAIhAoR5CAijCCCAAAII2CZAmNtWMdqLAAIIIIBAiABhHgLCKAIIIIAAArYJEOa2VYz2InAbAv1691FxcfFtTMkkCCDgBwHC3A9VpA8IhAi0a91GRZeKQh5lFAEE/CpgdZj/kpam9zdsUMzatdq54+8qKyvza53oFwI1EiDMa8TFxAhYL2BtmB84cEBNGzVW4wYN1ah+AzVp2Ehjo54i0K1fJOlAbQgQ5rWhyHsgYI9AlWGem5ur06dP6/Qpb95+/OEH9en1oBrcVy/oZsI9Zu27nm23Vz1plzeX87upS5uWrZT6cyqfBY9+h91NbXmt/z6vN6tpTf6VqDLM169bp2GDh3j2Nqh/fzVr3DgoyE2wN6xXX107d/Fsu71sStu8u7zfSW3MFqshkZF8Fjz8PXYndeU1/vqc3qqedx3m27Zu1fQpUzXNo7eJ4yeoVfMWVYb5wwMHebbdXvWkXd5d1u+0NmYr1YsvTOKz4NHvsDutK6/z32e1upredZiXlZaqpKTEs7eCggKNHDb8hjBv3qSpEnft9my7vWxK27y7vN9Jbcw+87y8PD4LHv4eu5O68hp/fU5vVc+7DvOavIFb0/5+5oxGDB2mbl0iFNGpsx7s0UPrY9a51Rzmi4CnBDgAzlPloDEI3HOBKveZ3/O51tIMCgsK9e+vD+ngvw4o9eefa+ldeRsE7BcgzO2vIT1AoCYCVod5TTrKtAiEkwBhHk7Vpq8ISIQ5SwECPhQgzH1YVLqEQDUChHk1ODyFgK0C5lwM5eXltjafdiOAQA0FCPMagjE5AggggAACXhMgzL1WEdqDAAIIIIBADQXCLsyvXr2qVW++KXPiGQYEEEAAAQT8IBB2YW5OpDF96lTNe/llP9SPPiAQEDh/7pwWL1qk7hFd1bFde42NitKexETnxDGBibiDAAK+FLA6zK9du6bsrGxlZmbe9sE+6SdP6vFRj2rn33f6sqB0KjwFzMFuc2bOlDmd8ebYWCXtS9KyJUsVOeghHfr6UHii0GsEwkjAM2GelZWlvYl79J/kZF2+fFk52dn66ssvqy2F+QLbkbDduVLa5eLL1U5b8WTyt8nq17uPUo6mOKe73L9/v1KOHmXtpQKIv1YKmM+MWRuP++yzwD+2hYWFemXuXEWPGxd4zMrO0WgEELilgOthXlZWpu0JCerTq5fatmqtzh06asWy5Vr95lsa//Qz1XbAvHbjBx9owavzVVRUVO205kmzJr9j+3YNHzJUmz7c6JwK1vwet0vHTs4/BOZ5BgRsFPjb5i16dMRIXbx4Maj5769frxZNm6m4uDjocUYQQMBfAq6GuQnP/fuS1OuBHpr10kydP3dep06d0rMTop2ros17ZV612jUNc7Mmv/qtVerds5dzXvcjR47IrL2YfwbM+d3N+zEgYKPA02PGaMzo0Tc0/R87d6pT+/YyFydiQAAB/wq4Gub5eXl6LnqiXpw0OejL5sMPPlDLZs31xZ69N8ibNYyvv/pK2+LjFf9ZnKZNmaIxo6O0+dNY5zFzwE/WhawbXmceMGEdPW68+vfpq++/+y4wzd49e50wN+1hQMBGgQd79KwyzL88eFAPdOum/Px8G7tFmxFA4DYFXA3zY0dT1KP7/dqzO9HZBF7RZrPp3GxyN0eehw65ublas2q180+AWYN/aMBAZ83ehLT5x8DsI0xLTQ19mTNeXFTsbFp/a+VKXblyJTCN+afBrJkT5gES7lgmQJhbVjCai0AtC7ga5nF/+0yDH47UT8ePB7pVWlqquXPmOGvPgQcr3TGbyi9duuSsaeTk5Ojdd9Zq7py/OEe0m7UPsznRvEdVQ1pamvOznX8m7Q88bTb1b3hvvTq178Bm9oAKd2wTmDhhQpVr5p///2b20H3ptvWP9iKAQPUCroa5WcMeExWlzIyMQCtPnDihUcNHaPLzLwQeu9mdmu4zj4+L08B+/XX8v/8NvKUJ/9kzZ2nY4CFBWwcCE3AHAQsEErZu06jhw2W2XFUe3ouJUdNGjTkArjIK9xHwoYCrYf5ezDo98ehjSk9Pd2jNwWgrl69wjr7dEht7S24T5ltiN+uN5StkNqHfapj05+fV98He+t/vvw9Muj8pyfmpmtnnzoCArQLmp2lmV5E5jsRsvTLDpcJCzZv7sp587PHAY7b2j3YjgED1Aq6G+aGvv1b3iAgtX7pUibt2a+Gr8zVh3DgnXCtver9ZF8wm8tOnTik1NfWWm8jNl53ZlD5i6DBnTTxxd6I+2rhJQyIfkQn5c2fP3Ww2PI6A5wXMZ2Hh/AXOSWK2bN6s/Un7nc+VOdjT/MPKgAAC/hZwNczNvu+Vb7zhrFGYL511MTFK2rdPY6Oe0tmzZ2tV/rdff1XzJk119OhRLVm8WPd37aaunbto8aLXlZGRwSb2WtXmzdwQMMeQrFi2zFm2zT+uj40cqR0JCbpy+fZOqORGm5knAgjUjoCrYV47XeBdEEAAAQQQCG8Bwjy860/vEUAAAQR8IPB/AlH06yMQciYAAAAASUVORK5CYII=[/img][br]
One winter day, the temperature in Houston is 8° Celsius. Find the temperature in Orlando, where it is 10°C warmer than it is in Houston.
[i]Explain [/i]your reasoning.
One winter day, the temperature in Houston is 8° Celsius. Find the temperature in Salt Lake City, where it is 8°C colder than it is in Houston.
[i]Explain [/i]your reasoning.
One winter day, the temperature in Houston is 8° Celsius. Find the temperatures in Minneapolis, where it is 20°C colder than it is in Houston.
[i]Explain [/i]your reasoning.
One winter day, the temperature in Houston is 8° Celsius. Find the temperature in Fairbanks, where it is 10°C colder than it is in Minneapolis..
[i]Explain [/i]your reasoning.
Use the thermometer applet to explore your own scenarios.

IM 7.5.2 Practice: Changing Temperatures

The temperature is -2[math]°C[/math]. If the temperature rises by 15[math]°C[/math], what is the new temperature?
At midnight the temperature is -6[math]°C[/math]. At midday the temperature is 9[math]°C[/math]. By how much did the temperature rise?
Draw a diagram to represent the situation: The temperature was 80°F and then fell 20°F.
Write an addition expression that represents your diagram and the final temperature.
Draw a diagram to represent the situation: The temperature was -13°F and then rose 9°F.
Write an addition expression that represents your diagram and the final temperature.
Draw a diagram to represent the situation: The temperature was -5°F and then fell 8°F.
Write an addition expression that represents your diagram and the final temperature.
Complete each statement with a number that makes the statement true.
The number of wheels on a group of buses.
Is the relationship proportional? If so, what would be the constant of proportionality?
The number of wheels on a train.
Is the relationship proportional? If so, what would be the constant of proportionality?
Noah was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Noah's cookies were left after the bake sale?

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