<?xml version="1.0" encoding="ISO-8859-1"?>
<!-- This network was created in GeNIe Academic, which can be used for educational and research purposes only -->
<smile version="1.0" id="Network1" numsamples="10000" discsamples="10000">
	<nodes>
		<cpt id="Ans1Strat">
			<state id="Algebraic" />
			<state id="Numeric1" />
			<state id="Numeric2" />
			<probabilities>0.8 0.15 0.04999999999999996</probabilities>
		</cpt>
		<cpt id="Ans1Strat1Step1Path">
			<state id="Variables" />
			<state id="No_variables" />
			<probabilities>0.5 0.5</probabilities>
		</cpt>
		<cpt id="Ans1Strat1Step11">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat Ans1Strat1Step1Path</parents>
			<probabilities>0.595 0.395 0.01 0.005 0.005 0.99 0.005 0.005 0.99 0.005 0.005 0.99 0.005 0.005 0.99 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat1Step12">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat Ans1Strat1Step1Path</parents>
			<probabilities>0.005 0.005 0.99 0.395 0.595 0.01 0.005 0.005 0.99 0.005 0.005 0.99 0.005 0.005 0.99 0.005 0.005 0.99</probabilities>
		</cpt>
		<noisymax id="Ans1Strat1Step2">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat1Step11 Ans1Strat1Step12</parents>
			<strengths>0 1 2 0 1 2</strengths>
			<parameters>0.6 0.39 0.01 0.1899999999999999 0.8 0.01 0 0 1 0.6 0.39 0.01 0.1899999999999999 0.8 0.01 0 0 1 0.0004999999999999449 0.0004999999999999449 0.999</parameters>
		</noisymax>
		<cpt id="Ans1Strat1Step3Path">
			<state id="Equation" />
			<state id="Inequality" />
			<probabilities>0.8 0.2</probabilities>
		</cpt>
		<cpt id="Ans1Strat1Step31">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat1Step2 Ans1Strat1Step3Path</parents>
			<probabilities>0.6 0.39 0.01 0.005 0.005 0.99 0.19 0.8 0.01 0.005 0.005 0.99 0.005 0.005 0.99 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat1Step41">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat1Step31</parents>
			<probabilities>0.8 0.19 0.01 0.39 0.6 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat1Step51">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat1Step41</parents>
			<probabilities>0.8 0.19 0.01 0.39 0.6 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat1Step32">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat1Step2 Ans1Strat1Step3Path</parents>
			<probabilities>0.005 0.005 0.99 0.6 0.39 0.01 0.005 0.005 0.99 0.19 0.8 0.01 0.005 0.005 0.99 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat1Step42">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat1Step32</parents>
			<probabilities>0.8 0.19 0.01 0.39 0.6 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat1Step52">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat1Step42</parents>
			<probabilities>0.8 0.19 0.01 0.39 0.6 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<noisymax id="Ans1Strat1Step6">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat1Step51 Ans1Strat1Step52</parents>
			<strengths>0 1 2 0 1 2</strengths>
			<parameters>0.8 0.19 0.01 0.39 0.6 0.01 0 0 1 0.8 0.19 0.01 0.39 0.6 0.01 0 0 1 0.0004999999999999449 0.0004999999999999449 0.999</parameters>
		</noisymax>
		<cpt id="Ans1Strat2Step1">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat</parents>
			<probabilities>0.005 0.005 0.99 0.595 0.395 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat2Step2">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat2Step1</parents>
			<probabilities>0.7 0.29 0.01 0.29 0.7 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat2Step3">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat2Step2</parents>
			<probabilities>0.8 0.19 0.01 0.39 0.6 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat3Step1">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat</parents>
			<probabilities>0.005 0.005 0.99 0.005 0.005 0.99 0.495 0.495 0.01</probabilities>
		</cpt>
		<cpt id="Ans1Strat3Step2">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat3Step1</parents>
			<probabilities>0.7 0.29 0.01 0.29 0.7 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat3Step3">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat3Step2</parents>
			<probabilities>0.7 0.29 0.01 0.29 0.7 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat3Step4">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat3Step3</parents>
			<probabilities>0.7 0.29 0.01 0.29 0.7 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<cpt id="Ans1Strat3Step5">
			<state id="Correct" />
			<state id="Incorrect" />
			<state id="Not_taken" />
			<parents>Ans1Strat3Step4</parents>
			<probabilities>0.7 0.29 0.01 0.29 0.7 0.01 0.005 0.005 0.99</probabilities>
		</cpt>
		<noisymax id="Ans1">
			<state id="Correct" />
			<state id="Incorrect" />
			<parents>Ans1Strat1Step6 Ans1Strat2Step3 Ans1Strat3Step5</parents>
			<strengths>0 1 2 0 1 2 0 1 2</strengths>
			<parameters>0.8 0.2 0.09999999999999998 0.9 0 1 0.8 0.2 0.09999999999999998 0.9 0 1 0.8 0.2 0.09999999999999998 0.9 0 1 0.09999999999999998 0.9</parameters>
		</noisymax>
		<noisyadder id="R1213_T03">
			<state id="Yes" />
			<state id="No" />
			<parents>Ans1Strat1Step2</parents>
			<dstates>1 2</dstates>
			<weights>1 0.1</weights>
			<parameters>0.8 0.2 0.4 0.6 0 1 0.5 0.5</parameters>
		</noisyadder>
		<noisyadder id="R1211_T03">
			<state id="Yes" />
			<state id="No" />
			<parents>Ans1Strat1Step11</parents>
			<dstates>1 2</dstates>
			<weights>1 0.1</weights>
			<parameters>0.6 0.4 0.2 0.8 0 1 0.5 0.5</parameters>
		</noisyadder>
		<noisyadder id="R12_T03">
			<state id="Yes" />
			<state id="No" />
			<parents>Ans1Strat1Step31</parents>
			<dstates>1 2</dstates>
			<weights>1 0.1</weights>
			<parameters>0.8 0.2 0.4 0.6 0 1 0.5 0.5</parameters>
		</noisyadder>
		<noisyadder id="R323_T03">
			<state id="Yes" />
			<state id="No" />
			<parents>Ans1Strat1Step41 Ans1Strat1Step42</parents>
			<dstates>1 2 2</dstates>
			<weights>1 1.5 0.1</weights>
			<parameters>0.6 0.4 0.2 0.8 0 1 0.6 0.4 0.2 0.8 0 1 0.5 0.5</parameters>
		</noisyadder>
		<noisyadder id="R324_T03">
			<state id="Yes" />
			<state id="No" />
			<parents>Ans1Strat1Step51 Ans1Strat1Step52</parents>
			<dstates>1 2 2</dstates>
			<weights>1 1.5 0.1</weights>
			<parameters>0.6 0.4 0.2 0.8 0 1 0.6 0.4 0.2 0.8 0 1 0.5 0.5</parameters>
		</noisyadder>
		<noisyadder id="R31_T03">
			<state id="Yes" />
			<state id="No" />
			<parents>Ans1Strat2Step1 Ans1Strat2Step2 Ans1Strat3Step2 Ans1Strat3Step3 Ans1Strat3Step4</parents>
			<dstates>1 2 2 2 2 2</dstates>
			<weights>1 1 1 1 1 0.1</weights>
			<parameters>0.6 0.4 0.2 0.8 0 1 0.7 0.3 0.3 0.7 0 1 0.7 0.3 0.3 0.7 0 1 0.7 0.3 0.3 0.7 0 1 0.7 0.3 0.3 0.7 0 1 0.5 0.5</parameters>
		</noisyadder>
		<noisyadder id="R13_T03">
			<state id="Yes" />
			<state id="No" />
			<parents>Ans1Strat1Step32</parents>
			<dstates>1 2</dstates>
			<weights>1 0.1</weights>
			<parameters>0.8 0.2 0.4 0.6 0 1 0.5 0.5</parameters>
		</noisyadder>
	</nodes>
	<extensions>
		<genie version="1.0" app="GeNIe 2.3.3828.0 ACADEMIC" name="Network1" faultnameformat="nodestate">
			<node id="Ans1">
				<name>Final Answer</name>
				<interior color="ccffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>567 714 649 765</position>
				<barchart active="true" width="116" height="54" />
			</node>
			<node id="Ans1Strat3Step1">
				<name>Start: 7; Step: 3</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>845 101 893 131</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat3Step2">
				<name>50-7=43</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>848 235 896 265</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat3Step3">
				<name>43/3=14.3</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>851 371 899 401</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat">
				<name>Solution Strategy</name>
				<interior color="ccffcc" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>607 30 655 60</position>
				<barchart active="true" width="140" height="72" />
			</node>
			<node id="Ans1Strat1Step11">
				<name>n: pattern; G: tiles</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>253 58 301 88</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat1Step12">
				<name>Start: 4; Step: 3</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>427 178 475 208</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat1Step2">
				<name>G = 4 + 3n</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>261 197 309 227</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat1Step31">
				<name>4+3n = 50</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>97 295 145 325</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat1Step41">
				<name>3n = 46</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>99 382 147 412</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat2Step1">
				<name>try &lt;n&gt; &lt; 16 (7,10,...)</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>645 124 693 154</position>
				<barchart active="true" width="136" height="72" />
			</node>
			<node id="Ans1Strat2Step2">
				<name>try &lt;n&gt; == 16 (52)</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>645 375 693 405</position>
				<barchart active="true" width="154" height="72" />
			</node>
			<node id="Ans1Strat2Step3">
				<name>Answer: &quot;16&quot;</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>644 615 692 645</position>
				<barchart active="true" width="150" height="72" />
			</node>
			<node id="Ans1Strat3Step4">
				<name>14.3+1=15.3</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>853 496 901 526</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat1Step51">
				<name>n = 15.33</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>102 474 150 504</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat1Step32">
				<name>4+3n &gt; 50</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>427 290 475 320</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat1Step42">
				<name>3n &gt; 46</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>428 382 476 412</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat1Step52">
				<name>n &gt; 15.33</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>428 473 476 503</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat3Step5">
				<name>Answer: &quot;16&quot;</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>851 640 899 670</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="Ans1Strat1Step6">
				<name>Answer: &quot;16&quot;</name>
				<interior color="ffffff" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>272 642 320 672</position>
				<barchart active="true" width="128" height="72" />
			</node>
			<node id="R1211_T03">
				<name>Choose variables</name>
				<interior color="ffff99" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>91 103 170 148</position>
				<barchart active="true" width="128" height="64" />
			</node>
			<node id="R12_T03">
				<name>Set up algebraic equations</name>
				<interior color="ffff99" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>245 342 319 405</position>
				<barchart active="true" width="143" height="68" />
			</node>
			<node id="R13_T03">
				<name>Set up algebraic inequalities</name>
				<interior color="ffff99" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>552 206 641 268</position>
				<barchart active="true" width="128" height="71" />
			</node>
			<node id="R31_T03">
				<name>Use numerical expressions</name>
				<interior color="ffff99" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>680 257 784 299</position>
				<barchart active="true" width="113" height="74" />
			</node>
			<node id="R323_T03">
				<name>Simplify by addition and subtraction</name>
				<interior color="ffff99" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>231 420 329 485</position>
				<barchart active="true" width="141" height="71" />
			</node>
			<node id="R324_T03">
				<name>Simplify by multiplication and division</name>
				<interior color="ffff99" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>231 509 334 580</position>
				<barchart active="true" width="144" height="80" />
			</node>
			<node id="R1213_T03">
				<name>Set up linear model</name>
				<interior color="ffff99" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>96 169 166 223</position>
				<barchart active="true" width="128" height="64" />
			</node>
			<node id="Ans1Strat1Step3Path">
				<name>Solution Path</name>
				<interior color="ccffcc" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>260 271 308 301</position>
				<barchart active="true" width="128" height="64" />
			</node>
			<node id="Ans1Strat1Step1Path">
				<name>Solution Path</name>
				<interior color="ccffcc" />
				<outline color="000080" />
				<font color="000000" name="Arial" size="8" />
				<position>429 89 477 119</position>
				<barchart active="true" width="128" height="64" />
			</node>
		</genie>
	</extensions>
</smile>