IM 7.7.4 Lesson: Solving for Unknown Angles
Here are some line segments.
[img]data:image/png;base64,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[/img][br][br]Decide if the equation is true or false.[br][br][math]CD+BC=BD[/math]
Explain your reasoning.
[img]data:image/png;base64,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[/img][br][br][br]Decide if the equation is true or false.[br][br][math]AB+BD=CD+AD[/math]
Explain your reasoning.
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAmIAAAAmCAYAAABnAPe1AAAO3ElEQVR4Ae2diXeN1xrG739yO7eGolIxpImQUYg5xBg1xZBRUTWPrapZtaq9QYu2BPfWLETMuloiQTSEGBMVMzHz3PW8erIyVzhJc5znW+tb5+R8Ofvs77f3t/ez3/3ud/8LOkRABERABERABERABP4RAv96nl998uQJ7t27h7t37+LRw4fg3zpEwJUJsA4/fPgQd+7cwe3btwtO/s26/ujRI9VzVy5g5V0E3JAA26379+9bX52fnw+e7LcfPHiAx48fuyGRyr1lsjbOt/OtDynMm31MWVrpuYQYC/D06dPIOHoU165ds06qcm9PqYtA5RJgnb554wbS09ORejC14Dxy+Ahyc3JNoKnhqtwyUOoiIALOI8BOn8LgypUryMrKQtqhQ0hPS0N2djauX79uA0/n/ZpSIoGcnBykpaUV9B+pqak4depUAW+nCTEWbG5uLobGD0HnjmHYsnmzKWwVgwi4MgGOEnft3IkObdvZ2aVTZ4SHdULXzuGIj43Dul/W4nLeZTVerlzIyrsIuAGBJ4+fCrBLly4heds2jB8zFv169wHbtG7hXTAocgBmzZhhAs0NcFTJLVJgcaC+YP5XaBva2rSRow/p16cvPp0yBb/u/xU3btwo1RJZYYvYzZs3seLnn9HMxweeHh5YuOAb3Lp1q0puVj8iApVFgPX6y7nz0LiBJ8I7dTLxFRcTi4ju3eHduAmC/QOQsn27TVNWVh6UrgiIgAi8KAG6Uvz555+YP28egvz84dfUF927dEVcdAyiBw1GeFiYCQX+T1kWmhfNg7t9nyKM05Axg6NQt1ZtRA0ajPiYWBO9bVq2sj6kc1gY9u3dW6rhqkJCjEo7849MU9e9evSETxMvfP7ZZ2Z2czfwut+Xi8DlvDxEDRxko5m9e/bYVCT9wy6cP4/vFn5rDdqYUaPtYXu57lx3IwIi8DIROH/uHKZP+wLNvH1MeG1NSrIpMwoFGk3OnT2LjCNHzU/sZbrvf/Je6HN3MisL1EW0iF29ctX6EFrATp48iS+mfg6vRo0x6pNPcObMmRJZfWYhRsVHJ+ZVKxPRIiAQy5YuRYvAIAz/aCguX75cImF9IAKuRIAPER+gvr1748KFC5Z1jhbZeO1ISUGnDh0RExUtIeZKhaq8ioAbEWAfTReLxJUrEejnbwPLtENp5ifGa46D7x8/eixrmAOIE14dri1h7Ttg7KjRJsKYLPsQLgI7dfIkBg8YiFYtWmDvnr0lfvGZhRgVHx30mRgtB6kHD6Jnt+6I7NcfZ8+cLZGwPhABVyKQsj0FAc2bY/LEiTaPz7yzweKIZs3q1WjTqhXmzJqNu3fuuNJtKa8iIAJuQsD66OxsxEZHo7lPU6SnpcuntYrKnkaqFT/9jJbBwea6xenhwgddXxYnJMDftxl++P77wpfs/TMJMYdl4IclSxAa0hJrVq02q8GQuHj06NrNVk+WSFkfiIALEVicsAiNGnhi4YIFZko+f/68rTTatGGDmZv79OqF45mZathcqEyVVRFwJwJ0peA0JMXAxPETbBW4fMCqpgZcvXoVM6fPQHBAoK2856LGwkf+7dv475o1VjZzZs8ufMneP5MQe3D/PrJPnbJEuOKCc5ycjvx08hS0b9MW+/ftK5GwPhABVyDAhoqWr0kTJqJe7XdBx0o6ttLa27F9ewT5B5gFmH5jHOWoYXOFUlUeRcD9CNB6P2fWLAT5+2Pzps0F02PuR6Lq75gD9/jYWHwYEYFz586VGLBTiHFmJSQoGF/OnVsig88kxK5euYJZM2bCu4kXEr77D25cv4G8S5ew4KuvEdjcz0JYlEhZH4iACxCgCGNMHU63N/FsiI+HDQed8seMHIXeEb3QNjQUUyZNQtaJEwrq6gLlqSyKgLsSoFWGKyO5KpKxEItbZdyVS1Xcd2Zmphml6B/GuG0MpFv4YIzKRQkJCGjWHD8tX174kr0vV4hx9M8EaQ1gh+TVsBFGjxyJ+fO+xOyZszD4r85rdWJiiYT1gQi4AgH6VfAhYpiKiO49bDqSI5qzZ89aY8Z67ufbzOb96ZApi5grlKryKALuR4CzVHQV6h0RgWMZGRJiVVQFOJg/eOCAhT769puFZoks3E/w/cXcXNNOIYFBpc4glivE+ANc7kqLAGNjvPduHXh6vI9G7zdAQ4/3Ub9uXbxboyaWLFpURbesnxEB5xKguEpJTkbHdu1scMG/HQcfoIyjGSbERo8cZdPxxUc6jv/VqwiIgAj8kwTy8vLQOawT6M/6x7FjCk9RBYXBPoKrIjeuX2+uLRvWry8xWGefwV2IOHs4MDLSFj0Wz1q5Qoyd0u5duywib2S/ftiRsgP79u7D/r377JXRxuvUrIV5c+ZaoRdWgcV/SH+LQHUkwNUuPy5bhpbBLbB546YiAVsdDxBXuowYPtyEGAcnOkRABESguhHg1CRXTLZr3QZ7du/WCu8qKCD2Bwxx9PX8+Sa0GLDVoYP4yhmXnAsXMO2zqWjs6WkrJtnnFD/KFGJMhAp7wrhxFl8pacsW5N/Ox6OHj+ykCmSwy6YffIApkyaDyzPVSRXHq7+rO4Erly9j2tSpaNMq1EYtrOP0raBj/vVr17EqMRGe9T3MCfaW6nh1L07lTwTclgBnr7jq28/XF9Omfo6LFy/i3l8bfLNNc5zqp51XRciSAnho/NMIEocPHy7oP9hfnDh+3MIeBTT3Q9SgQTh27FiBUCucizKFGAtt/779aN7UFxPHj7ctEyi+KNAcJ7dI6NCmLUZ+PMIKXdM2hdHqvSsQoC8YHfW7hocjeVsyDqUesk1bd+7YiXlz5lj9bt+6DXbv3CVnfVcoUOVRBNyUAPvsQ6mpFm6nqRcNJJOwNWkrDqcfthms9evWm9VfsRCdV0GoeWjxohWSwcC3J2+3/oOv9Bcb0L+/xXQbPHAgfv/t9zJXspYqxCi0aD4bO3q0BbJM3rqt1KlHKkHurTQkNs6CukqIOa+AlVLVEDhx4oRt7s0BBx8mbmTPzb47tmtv+0tGdOtuG35fu3atajKkXxEBERCB5yDA/pf99qaNG82dyL9Zc2vTuPk0dwZh1HduSch4YzqcQ4DMOXgna19vb1s5yf6jQ9t2aBXcwnyP586ejYyMDNv1oCxrZJlCjPsjcVqS++xx+qa0g4W+fOkyW0XJaUoJsdIo6bPqTIC7RYwcMcIGFLSM8YweHIXxY8baViGns7NtEFLWA1Sd7015EwERcD8C9O3OysrCkkWLMWzIR9amcY/DZT8stWDVtJzpcA4Bah76hQ0fOsw2+nb0H+NGj7H+g2GP6EP2d9qoVCHGLLKwmADFFh3OSjs4Vcl5aSrshw8elDr3Wdr39JkIVBcCDFbMOGK07jL+C0++pwWMdZu+YhRhtBLrEAEREIHqToCdPtst+m2zHWOb5mjP2K9rUOm8EmS/QOHLYLqMt1q8/+A1h0tXeb9aphAr70u6JgIiIAIiIAIiIAIi8OIEJMRenKFSEAEREAEREAEREIHnIlBCiNHURtOm49SUzHNx1ZeqOYHC9VxTj9W8sJQ9ERCBvyXAdozTYOy71ab9La4X/gf2Ic7qR0oIMc4t5+bmIjs720JW0D9MYuyFy0wJVCMCrM/0azx/7pxFOea8PhswHSIgAiLgigTYptGfm+F4zpw5Y36u8gWr3JIkX/oRG/PTp83XmCL4eY4iQowBXBNXrERMVBR6du+BofFDsDpxlUUUf57E9R0RqG4E+PCcOnnSNqwf2D8SH/aMsD3Adu3caeJMg47qVmLKjwiIQHkE2GYdzzyO2TNnIrJvX/Tu9SHGjx2H33/7zRzJy/uurlWcAHlTcB3LOIZZM2agX+8+6B3RC5MmTMCBAwdsoWNF+5EiQmz1qlW21Uvtd2qg5ltv295JoSEhWLd2naltWhF0ioGr1gGuAubGuAzU6t24ie2TWuvtd6ye9+zWzaIec1TpqvenfOvZVB1wszqQn4+8S3kYO2q0bTrN9oynR916NsjkHoeqE86tE+xHcnJyMHniJDRq4AnqJTLn3tuMq8oNvitqGSsixBjwrU6tWnjz1dfsfOu1102QhYa0RGxUNOJjYhEfG6dTDFyyDsTFxFikY19vH7zzxptF6jk3tA/vGPa0nqt8XbJ81TapbXa3OhAXE4vIvv1MhBVu095+/Q28V6cOOoeF6Vl2cnseFx1jVjCvho1AzoX1UmPPhvjlf7+YVawitrYiQszH6wPUePMtvP7vVwrON1551Qq5bWhrixbLiOM6xcAV60D7Nm3RMigY9evULajfjrpOC/AHjZugXWhr1W8946oDqgMuUQfYpoUEBqFOrdpF2jT222zTvJt4ucR9uFJ/wh1Ygv0DULcYc/YlHvXqYVFCgsVxe24hFtahg1kKHJ0TX1mggyIHYMO69di+LRkpydt1ioFL1oFtW7fix2XLEdoipEijxXpeu0ZN21M1aUuSS96bnku1S6oD7lcHtiVtxeKEBHBvyeL9NqfLuDuO6oVz68XWpCQsTliEZt4+RZiTv6eHh22Jx0WPFTmKWMToqB/k52/mNse0ZHBAINatXWuReRmp99bNWzrFwCXrAKMf5+bkYN7sOfCs72GDDpqWOXKks2V6evrTCNQqX5csX7VNapvdrQ442rQJY8eZryvbM570W+JCJLZp7saksu+XO7FwZeqUiZNsdqUwc7pv8VpFV+EXEWLcd2/lihXoFt4Ffr6+6NmtOxJXrLDOq6KrACqiBvW/IlAVBFiH+YAcz8zErOkzbEP7QD8/2yOMqyb5gFXUybIq8q3fEAEREIHSCDhW8NEpf+b06WjVIsSmzT4eNsxW8LFN0+FcAlx5z62ijhw+jE8nT0ZIUBBosOJ+k1ypypAWFQ0dUkSIOTe7Sk0EREAEREAEREAERKA8AhJi5dHRNREQAREQAREQARGoRAISYpUIV0mLgAiIgAiIgAiIQHkEJMTKo6NrIiACIiACIiACIlCJBCTEKhGukhYBERABERABERCB8ghIiJVHR9dEQAREQAREQAREoBIJSIhVIlwlLQIiIAIiIAIiIALlEZAQK4+OromACIiACIiACIhAJRL4P9mzhmRy1l+hAAAAAElFTkSuQmCC[/img][br][br][br]Decide if the equation is true or false.[br][br][math]AC-AB=AB[/math]
Explain your reasoning.
[img]data:image/png;base64,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[/img][br][br][br]Decide if the equation is true or false.[br][br][math]BD-CD=AC-AB[/math]
Explain your reasoning.
[size=150]Your teacher will give you either a [i]problem card[/i] or a [i]data card[/i]. Do not show or read your card to your partner.[/size][br][left][/left][table][tr][td]If your teacher gives you the [i]problem card[/i]:[/td][td]If your teacher gives you the [i]data card[/i]:[/td][/tr][tr][td][list=1][*]Silently read your card and think about what [/*][*]information you need to be able to answer the question.[br][/*][*]Ask your partner for the specific information[br] that you need.[br][/*][*]Explain how you are using the information [br]to solve the problem.[br]Continue to ask questions until[br]you have enough information to solve the problem.[br][/*][*]Share the [i]problem card [/i]and solve [br]the problem independently.[br][/*][*]Read the [i]data card[/i] and discuss your reasoning.[br][/*][/list][/td][td][list=1][*]Silently read your card.[br][/*][*]Ask your partner [i]“What specific information do you need?”[/i] [br]and wait for them to [i]ask[/i] for information.[br]If your partner asks for information that [br]is not on the card, do not do the calculations [br]for them. Tell them you don’t have that information.[br][/*][*]Before sharing the information, ask [br]“[i]Why do you need that information?[/i]” [br]Listen to your partner’s reasoning and ask clarifying questions.[br][/*][*]Read the [i]problem card[/i] and solve [br]the problem independently.[br][/*][*]Share the [i]data card[/i] and discuss your reasoning.[br][/*][/list][/td][/tr][/table][br]Pause here so your teacher can review your work. Ask your teacher for a new set of cards and repeat the activity, trading roles with your partner.
Your teacher will give you either a problem card or a data card. Do not read your partner card.
Match each figure to an equation that represents what is seen in the figure.
[img]data:image/png;base64,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[/img]
Explain how you know they are a match.
[img]data:image/png;base64,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[/img]
Explain how you know they are a match.
[img]data:image/png;base64,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[/img]
Explain how you know they are a match.
[img]data:image/png;base64,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[/img]
Explain how you know they are a match.
[img]data:image/png;base64,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[/img]
Explain how you know they are a match.
You may use this applet to help you with the questions below.
What is the angle between the hour and minute hands of a clock at 3:00?
You might think that the angle between the hour and minute hands at 2:20 is 60 degrees, but it is not! The hour hand has moved beyond the 2. Calculate the angle between the clock hands at 2:20.
Find a time where the hour and minute hand are 40 degrees apart. (Assume that the time has a whole number of minutes.) Is there just one answer?
IM 7.7.4 Practice: Solving for Unknown Angles
[math]M[/math] is a point on line segment [math]KL[/math]. [math]NM[/math] is a line segment. Select all the equations that represent the relationship between the measures of the angles in the figure.[br][br][img]data:image/png;base64,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[/img]
Which equation represents the relationship between the angles in the figure?[br][br][img]data:image/png;base64,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[/img]
Segments [math]AB,EF[/math] and [math]CD[/math] intersect at point [math]C[/math], and angle [math]ACD[/math] is a right angle. Find the value of [math]g[/math].[br][br][img]data:image/png;base64,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[/img]
Select all the expressions that are the result of decreasing [math]x[/math] by 80%.
[size=150]Andre is solving the equation [math]4(x+\frac{3}{2})=7[/math]. He says, “I can subtract [math]\frac{3}{2}[/math] from each side to get [math]4x=\frac{11}{2}[/math] and then divide by 4 to get [math]x=\frac{11}{8}[/math]". Kiran says, “I think you made a mistake.”[/size][br][br]How can Kiran know for sure that Andre’s solution is incorrect?
Describe Andre’s error and explain how to correct his work.[br]
Solve each equation.
[math]\frac{1}{7}a+\frac{3}{4}=\frac{9}{8}[/math]
[math]\frac{2}{3}+\frac{1}{5}b=\frac{5}{6}[/math]
[math]\frac{3}{2}=\frac{4}{3}c+\frac{2}{3}[/math]
[math]0.3d+7.9=9.1[/math]
[math]11.03=8.78+0.02e[/math]
A train travels at a constant speed for a long distance. 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[/img][br][br]Write the [b]two [/b]constants of proportionality for the relationship between distance traveled and elapsed time. Explain what each of them means.