|
32 | 32 | </p> |
33 | 33 | </statement> |
34 | 34 | <answer> |
35 | | - Point <m>C</m> should be at the point <m>(2,2)</m>. |
| 35 | + <p>Point <m>C</m> should be at the point <m>(2,2)</m>.</p> |
36 | 36 | </answer> |
37 | 37 | </task> |
38 | 38 | <task> |
|
42 | 42 | </p> |
43 | 43 | </statement> |
44 | 44 | <answer> |
45 | | - <m>AC</m> is <m>4</m> units long. |
46 | | - <m>BC</m> is <m>2</m> units long. |
47 | | - Make sure students pay attention to the scale. |
| 45 | + <p><m>AC</m> is <m>4</m> units long. |
| 46 | + <m>BC</m> is <m>2</m> units long.</p> |
| 47 | + <p>Make sure students pay attention to the scale.</p> |
48 | 48 | </answer> |
49 | 49 | </task> |
50 | 50 | <task> |
|
54 | 54 | </p> |
55 | 55 | </statement> |
56 | 56 | <answer> |
57 | | - Students should see that they can use the Pythagorean Theorem to find the length of side <m>AB</m> (which is <m>\sqrt{20}</m> or approximately <m>4.5</m>). |
| 57 | + <p>Students should see that they can use the Pythagorean Theorem to find the length of |
| 58 | + side <m>AB</m> (which is <m>\sqrt{20}</m> or approximately <m>4.5</m>).</p> |
58 | 59 | </answer> |
59 | 60 | </task> |
60 | 61 | </activity> |
|
76 | 77 | </p> |
77 | 78 | </statement> |
78 | 79 | <answer> |
79 | | - Students may need help in their drawing. Make sure the hypotenuse is the line segment that connects the two points. |
| 80 | + <p>Students may need help in their drawing. Make sure the hypotenuse is the line segment that |
| 81 | + connects the two points.</p> |
80 | 82 | </answer> |
81 | 83 | </task> |
82 | 84 | <task> |
|
86 | 88 | </p> |
87 | 89 | </statement> |
88 | 90 | <answer> |
89 | | - The lengths of the legs of the triangle should be <m>y_{2}-y_{1}</m> and <m>x_{2}-x_{1}</m> (or <m>y_{1}-y_{2}</m> and <m>x_{1}-x_{2}</m> depending on how students created their drawing). |
| 91 | + <p>The lengths of the legs of the triangle should be <m>y_{2}-y_{1}</m> and |
| 92 | + <m>x_{2}-x_{1}</m> (or <m>y_{1}-y_{2}</m> and <m>x_{1}-x_{2}</m> depending on |
| 93 | + how students created their drawing).</p> |
90 | 94 | </answer> |
91 | 95 | </task> |
92 | 96 | <task> |
|
96 | 100 | </p> |
97 | 101 | </statement> |
98 | 102 | <answer> |
99 | | - Students should see the connection to the previous activity and apply the Pythagorean Theorem. They should get either <m>\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}</m> or <m>\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}</m> to represent the length of the side that connects the two points. |
| 103 | + <p>Students should see the connection to the previous activity and apply the Pythagorean |
| 104 | + Theorem. They should get either <m>\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}</m> or |
| 105 | + <m>\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}</m> to represent the length of the side |
| 106 | + that connects the two points.</p> |
100 | 107 | </answer> |
101 | 108 | </task> |
102 | 109 | </activity> |
|
125 | 132 | <li> <m>\sqrt{56}</m> </li></ol></p> |
126 | 133 | </statement> |
127 | 134 | <answer> |
128 | | - B and C |
| 135 | + <p>B and C</p> |
129 | 136 | </answer> |
130 | 137 | </task> |
131 | 138 | <task> |
|
138 | 145 | <li> <m>\sqrt{61}</m> </li></ol></p> |
139 | 146 | </statement> |
140 | 147 | <answer> |
141 | | - B and D |
| 148 | + <p>B and D</p> |
142 | 149 | </answer> |
143 | 150 | </task> |
144 | 151 | <task> |
|
152 | 159 | <li> <m>(-5,-5)</m> </li></ol></p> |
153 | 160 | </statement> |
154 | 161 | <answer> |
155 | | - B |
| 162 | + <p>B</p> |
156 | 163 | </answer> |
157 | 164 | </task> |
158 | 165 | </activity> |
|
193 | 200 | <li> <m>(10,2)</m> </li></ol></p> |
194 | 201 | </statement> |
195 | 202 | <answer> |
196 | | - B |
| 203 | + <p>B</p> |
197 | 204 | </answer> |
198 | 205 | </task> |
199 | 206 | <task> |
|
206 | 213 | <li> <m>(5,2)</m> </li></ol></p> |
207 | 214 | </statement> |
208 | 215 | <answer> |
209 | | - D |
| 216 | + <p>D</p> |
210 | 217 | </answer> |
211 | 218 | </task> |
212 | 219 | <task> |
|
219 | 226 | <li> <m>(5,2)</m> </li></ol></p> |
220 | 227 | </statement> |
221 | 228 | <answer> |
222 | | - C |
| 229 | + <p>C</p> |
223 | 230 | </answer> |
224 | 231 | </task> |
225 | 232 | <task> |
|
260 | 267 | <li> <m>(1,4)</m> </li></ol></p> |
261 | 268 | </statement> |
262 | 269 | <answer> |
263 | | - B |
| 270 | + <p>B</p> |
264 | 271 | </answer> |
265 | 272 | </task> |
266 | 273 | <task> |
|
273 | 280 | <li> <m>(4,7)</m> </li></ol></p> |
274 | 281 | </statement> |
275 | 282 | <answer> |
276 | | - C |
| 283 | + <p>C</p> |
277 | 284 | </answer> |
278 | 285 | </task> |
279 | 286 | <task> |
|
286 | 293 | <li> <m>(8,6)</m> </li></ol></p> |
287 | 294 | </statement> |
288 | 295 | <answer> |
289 | | - D |
| 296 | + <p>D</p> |
290 | 297 | </answer> |
291 | 298 | </task> |
292 | 299 | </activity> |
|
304 | 311 | </p> |
305 | 312 | </statement> |
306 | 313 | <answer> |
307 | | - <m>\sqrt{113}</m> or <m>10.6</m> |
| 314 | + <p><m>\sqrt{113}</m> or <m>10.6</m></p> |
308 | 315 | </answer> |
309 | 316 | </task> |
310 | 317 | <task> |
|
314 | 321 | </p> |
315 | 322 | </statement> |
316 | 323 | <answer> |
317 | | - <m>(2,1.5)</m> |
| 324 | + <p><m>(2,1.5)</m></p> |
318 | 325 | </answer> |
319 | 326 | </task> |
320 | 327 | </activity> |
|
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