IM 7.1.6 Lesson: Scaling and Area

Use the applet to explore the pattern blocks. Then, answer the corresponding questions.
[br][img]data:image/png;base64,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[/img][br][br]How many blue rhombus blocks does it take to build a scaled copy of Figure A:[br][br] a) Where each side is twice as long?[br][br] b) Where each side is 3 times as long? [br][br] c) Where each side is 4 times as long?
Use the applet to explore the pattern blocks. Then, answer the corresponding questions.
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJUAAABuCAYAAAAu91GVAAAOhklEQVR4Ae2d+VtTVxrH+z/Mb9OZ5+nMtBRCEqKorIIEAmETbacqo4JaxIIidaWKotiiBRR3ENlUINbWuqN0dRmf4oJLxaWiyOLGoohs7v3O817AQQo0y725Se65z5OHkOSe3PueT97znnc55y2wg0mAZwm8xXN7rDkmATCoGAS8S4BBxbtIWYMMKsYA7xJgUPEuUtYgg4oxwLsEGFS8i5Q1qDdUv//+O54/f46Ojg48fvz49aOtrQ1Pnz7Fq1evmDSZBDgJ6A0VQdPQ0IDi4mLk5OSgoKAA27Ztg06nw9GjR1FbW4uWlhYQfOyQtgT0hoq01JkzZ6BUKuHh4YGwsDCMHTsWWq0WMpkMQ4YMwerVq/HkyRMGlrSZ0t/5+ezZM5w6dQrDhw9HXl4eKioqcP36dVy+fBknTpzAhAkT4OLigpMnT3JgSVyukr59vTVVD1Senp4oKSlBZ2fna8HRkEdDolwuR2FhIcjOYod0JWAUVIcOHeIMdoKJHmRvZWVlwdnZGfv27UN7e7t0Jcru3PDhb9iwYZyBfuXKFVRWVuLatWs4fPgwRo8ejXHjxuHBgwd48eIFE62EJWCwplKpVJztREY6QRQUFMTZWfT8hx9+AA2TzL0gYaIAwzUVzfKWLFmCnTt3Yvfu3dzflJQUBAYGYsqUKbhx4wbnz5K2WKV99wZrKnd3d+zdu5cb5sh2IqOcnKGlpaVwdXVFYmIimpqapC1Vid+9wVD1N/sjGZJ95efnh/DwcNTU1EhcrNK+fYOhIsfnwYMHuRney5cvOaOcwjQXL17kbCsaAm/fvi1tqUr87g2Gys3NjQvN1NXVobGxEXfv3kV5eTmio6NhZ2fH+atoOGSHdCWgN1QUprlw4QI38/P398fEiRMRGRmJiIgIjBkzhhv60tPTce/ePWao9+Gpx5dHrhYpzIz1hoqGOtJOGRkZWLp06evHsmXLuLANhWuam5v7iJP9SxLofNKJ6ppqlJ3+Be0dtu8Y1hsqEk7PL45+bX0fPd51htEfJVBVXYUpMyIREqFFxdVLf/yAjb1iEFQ2du+C3w790GjIy9VthesnDnCb9x4yizZyKUKCf7mIX8CgElD4ZIdW3qzEpMQPodngCM0mGQLjvHDuUrmA3yp+0wwqAfugtb0V67euhe8yJ4QWOSFs5xB4JdkjJiGaC2eRJrPFg0ElUK9SDLT6dhVcJiihzVIgTKfioArKU0I9ZxhKjpTYbDYHg0ogqOob72PRyoXwTnZA8DYlBxRpKtJYgZucELUoEnV3a2zSxcCgEgAqcr+U/HgQXrFDEVrYpaEIqJ5HUL4SQ6P/gf0/7n0j2VGASxGlSQYVz2InVwsViMxLjYNPqj1GF/8RKnrNb4MModH+uHb9Ks9XIH5zDCqe++Dps6fYe3gP/BY4IzBPgdHdtlSPluL+6lQcbCMTHPDFumQup9+WPO0MKh6hIp9U08NG+IV7Q7NW/nq4ewOoXsNgQJYcwfN9UH7+LFc7yeOliNoUg4pH8VOYKjNnMzwT3jTOB4KKtJgmTYmElPlobnnI45WI2xSDiif5k8/p7K9nEDRLjeA8p35tqf7gCspVwjVKhtMXT9mM0c6g4gEqAorSfTIK0uC++L1+Z3z9AUWvhexwwqgv7TEpLhx1d2wjuZFBxQNUZGRTBkJAvCcCcwcwznvZUn0Bo2FweLQd8nS5NlHdzaAyESrySVE6S8Ss/2DU57Ku2V5/M75BoArTDeG87pOXfsRVfVPM0JoPBpWJvdfW3oYDh/fDI1bBaam+Wkiv/3UqhGxXQp2kxMb8daCYoTXHBRlUJkBFHV9VfQOT54QjaItT/z6pwTRUn/cCNsvhNskJN2sq8fyF9WorBpUJUNFaXXu+/wbDZv4TIdu6shD00kx9YOo5h4x29SoZ5iXNwb3790y4MnFPZVCZIP9rlVfxwafBXSGX7tSWHkCM+UsGe+gOFTyjVTjw/X4u198ah0EGlRFQ0WyPUluSVy+D50KHP/WcGwJYaJEK3ivfR/yqGNQ31FtlFgODygioaGG3s2fPwjfGDdpsBa9QUd4V57ua54Q9h74FxRKt7WBQGdFjjQ8bMH/FXGjSFBwAhmgivT6rUyFggwKaSC/cq79jdSVvDCoDoXry9AkuXD2HYZF2oBCLXpAMYJgPdm5QvgIjF9ljQ/Y6NLdYV+kbg8pAqKj2MWpBBNRrHED2z2BgmPpe6HYV1FPdUVb+i4FXKe7HGVR6yp9mYeQ9z/8qF64x9ggtdHqdd24qPAOdT1mjI5Pex5fZX3CFutYyE2RQ6QkVhU6qblVh/JwwBGTKBQeKQCMXg3arHL6zXVB27he8fPVSz6sV92MMKj3l/7j1MTZmb4DfMieEkJYywk4y9hyfVTJ8NGMMKCRkDRmiDCo9oKKMzjsNt+ExcSgCNplHS/UGMLhACe+FSuh2FYPgtvSDQaVHDzU+aMTyNUnwXPL+G+VWvTteyOdUKBGSq8JH8WH47eZVzrbT47JF+wiD6k9ET8b5kZ+PwOsT567kO0PTWngaJklbOc98B3lfb+WGwT+5bFHfZlANIn6yX2gJ709TZsInzUHvFGEhtBZpq4AtcmiiRuLXiouDXLX4bzGoBukDcnTuP7IPmoQRXblSImkpDlIq69KpMCrZEXOT47nNEUiLWuLBoBqgV8g4f9DciDHTg+G32tGss73BNB25GPznu+DYiWPcYmoDXL6oLzOoBhA/FTIUFOfD7VM7UJn6YB1t1vcoLrheienzp6G+0TJzrhhUA0BFa0gFx/ghOFf/citzwRWc7wSXT+xQevywRW4uxaDqAxWFQlrbWrG2IB0jl9oLHt8zBkRyvvqulSF0mhZVNTf63IH4/zKo+vQB2VLnL5xH6AI1FyIh49iYjhf6HLou13g7rMlOszgvO4OqF1TkQmjvbEdMwnR4L+92IVgoVJTMF5ijxIeJWpw7f86i1mJgUPWCivba+e6nUgyfao/AHJ4zOnlygvbWgNwwmKJAckYSHj1utpiyLgZVN1RkS928dQNT5k5CULblGee9Yer9XLtFgRGRMpRXlFtM6jGDqhsqyjvf893XcImzQ8h24XOleoNhynPK6/LLcETkrEmovV3bS++K95RB1S37WzVVCP9sLHzXyV6vJGxKZ5vtXCrrKlTBY5YcRd/usIiyLslDxZVbPX+GVetT4DnfweQqY7PB1MtGo5kguRg+/nwiautq8eKluNsNSx4q2lbuUsUleE8bDlrZTgwo+PhOypcftViB3MKt6OjsEG/sM2S7W1GvUsAvb2iipakT4L9aKUy5VS+Nwgc8A7ZB4ZtNCqinuKHy1nVRXQyS1lSkpU5fLINblBzBeRYU3zMSRC5DdLkDklKXgBILxTokDRXtTThz+Qx4rbTrqo4xsjMH1B7mbo9bkkgF96kqfHe0VCym9N/tXbQrFOiLyUAv3L0dbrEybtiz1HCMocCSbeWzygEJGXO59dzpPs19SFJTUbkVber479mh8N9ovcZ5f8DRj4NSdXzmDsXhn0rw7Pkzs3vaJQlVS2sLNudsgmZF10Ku/XWOtb+mTnNAwCQ1GprqzV4oITmoKAuhrr4WvtPdoc00fNFXa4GNNlnyTnTkahWbH5l3LQbJQdX0sAlfrE2Gx+LucIy5jWkzfR9X1pWvQshsPy4uaM58dklBRUZr6c+lcJ9Ca0CpzFK6LqZmoxim64J/YU1+qlmLUCUDFf1SaZuP2StioE7rXpraTFpDLLA4o502rYwdgVPlZWabBEoGqs4nnThwZB+0i10QlPf/nULF6nCzfa9OBfVKR0ybF8FtCE42pdCHJKAiLUWr342P+wCaNeZfC8FsAA2geSnh0HuOEw6U7EdbR5vQTEnD+UnlVkXf7MCIuHctq9xqAAj4hpCGQW2mEuNnfYDquioGFR8SoHKrwCg1ArcqrStXikfoaJ13l9nvoXjfDm5zJj7kOlAbNj380WyvtbUV6VtXwWup8Msp8q1h+GyPNgTXbJJBGz0KV65XCOplt2moKBxTfq4cYxZpoM2WW2UCHp9gUVsen9khMfUzQTNEbRYqKmRo62hFfNIsblELcgZSWRPfnWRt7dGKykELvXD8xHHBNq20Waio3OqnEz92l1tZf64UX/DSMEgJiXNWxKGpuVGQQlSbhOp1udWcyQjMUoq6rhRfMPDZDrkYhkXZ4cTpY9xO8wMZ3Ma+bpNQUUbnVwd1cI+3t6pyKz7BGawtyrnSbJAjZLIWVdX8uxhsDiqa8dXUVSMiaRx8M8Rd/W6wjhX1PSrrKlLBY64DNm/bwGkr0u58HTYFFQmGtNSazHR4LZR3DXvMOO9/cqJTQbPJEeMXh+La9Wu87n9jU1DRdmlXf7sKt3AV/DfbVkanEJqNZsQ+y+RYuT4FrW38LaVtU1DVN95H4qpF0KQru2wpHj3SQnSqJbQZuEWBkR8PwfnL53kz2m0GKtJS/z1zHF4xQxBSYN4dGSwBDmOvgdsQPFWGmIRo3G/gZ7lHm4GKdvGcnxoPz+R3zb7Nh7Edainn0VoMrjNk+ObQLl7CNzYBFRnou/bvhEesnNuRwVbKrcwFHdlWvhkyxKRMQ21trcmFElYPFcX37ty5g7GxQdCsY8a5USDqVNyPcdRCJYp27+CW0jbFxWD1UD1qeYQtuVld5VbbWTjGKKi6JzR+ax3hE+GGurumrRxj1VBRRufN2hvQxnhDS+EY5pPq3yel5yyYCiXUKXKsSEtG04Mmo32hVg3Vw4cPsSYrHc6x78A/U47APAV7mCADbY4CAZkKjJrqimMnj8LYfHarhqqsrAwj1M6QTfwrFNPehjLqb+xhogwcI9/G373+ghWpyUb7rawaKqP1MztRUAkwqAQVrzQbZ1BJs98FvWsGlaDilWbjDCpp9rugd82gElS80mycQSXNfhf0rhlUgopXmo0zqKTZ74LeNYNKUPFKs3EGlTT7XdC7/h9ew7KQAVQaIgAAAABJRU5ErkJggg==[/img][br]How many green triangle blocks does it take to build a scaled copy of Figure B:[br][br] a) Where each side is twice as long?[br][br] b) Where each side is 3 times as long?[br] [br] c) Using a scale factor of 4?
Use the applet to explore the pattern blocks. Then, answer the corresponding questions.
[br]How many red trapezoid blocks does it take to build a scaled copy of Figure C:[br][br][img]data:image/png;base64,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[/img][br][br] a) Using a scale factor of 2?[br][br] b) Using a scale factor of 3?[br] [br] c) Using a scale factor of 4?
Make a prediction: How many blocks would it take to build scaled copies of these shapes using a scale factor of 5? Using a scale factor of 6? [i]Explain [/i]your reasoning.
Your teacher will assign your group one of these figures, each made with original-size blocks. Follow the instructions below and answer the questions by using the corresponding applet.[br][br][img]data:image/png;base64,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[/img]
In the corresponding applet below, move the slider to see a scaled copy of your assigned shape, using a scale factor of 2. Use the original-size blocks to build a figure to match it. How many blocks did it take?
Your classmate thinks that the scaled copies in the previous problem will each take 4 blocks to build. Do you agree or disagree? [i]Explain [/i]you reasoning.
Move the slider to see a scaled copy of your assigned shape using a scale factor of 3. Start building a figure with the original-size blocks to match it. Stop when you can tell for sure how many blocks it would [br]take. Record your answer.
Predict - Thinking about your assigned figure: How many blocks would it take to build scaled copies using scale factors 4, 5, and 6? Explain or show your reasoning.
How is the pattern in this activity the same as the pattern you saw in the previous activity? How is it different?
How many blocks do you think it would take to build a scaled copy of one yellow hexagon where each side is twice as long? Three times as long?
Figure out a way to build these scaled copies. Explain it or illustrate it in the applet below.
Do you see a pattern for the number of blocks used to build these scaled copies? Explain your reasoning.
Your teacher assign you one of these figures with measurements in centimeters. 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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]What is the area of your figure? How do you know?
Work with your partner to draw scaled copies of your figure, using each scale factor in the table.
Complete the table with the measurements of your scaled copies.
Compare your results with a group that worked with a different figure. What is the same about your answers? What is different?
If you drew scaled copies of your figure with the following scale factors, what would their areas be? Discuss your thinking. If you disagree, work to reach an agreement. Be prepared to explain your reasoning.
Close

Information: IM 7.1.6 Lesson: Scaling and Area