-
Notifications
You must be signed in to change notification settings - Fork 1
/
0fe7726f-311a-4419-aebd-363bc514f950.html
26 lines (26 loc) · 1.88 KB
/
0fe7726f-311a-4419-aebd-363bc514f950.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
<h3>Cool Down (5 minutes)</h3>
<h4>Launch</h4>
<p>Encourage and support opportunities for peer interactions. Invite students to talk about their ideas with a partner before writing them down.</p>
<h4>Student Activity</h4>
<ol class="os-raise-noindent">
<li>What is the \(x\)-coordinate of the vertex of the graph defined by \(y=(x−3)^2+2\)?</li>
</ol>
<p><strong>Answer:</strong> 3</p>
<ol class="os-raise-noindent" start="2">
<li>What is the \(y\)-coordinate of the vertex of the graph defined by \(y=(x−3)^2+2\)?</li>
</ol>
<p><strong>Answer:</strong> 2</p>
<ol class="os-raise-noindent" start="3">
<li>Find the coordinates of two other points on the graph. The points should be symmetric across the vertex. Show your reasoning.</li>
</ol>
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
<p><strong>Answer:</strong> \((0,11)\) and \((6,11)\). When \(x\) is 0, the value of \(y\) is \((-3)^2+2\) or 11. The other point is 3 units to the right of the vertex with the same \(y\)-coordinate.</p>
<ol class="os-raise-noindent" start="4">
<li>Use the graphing tool or technology outside the course. Draw a graph that represents the equation \(y=(x−3)^2+2\). Use the graphing tool or technology outside the course. Draw a graph that represents the equation \(y=(-3)^2+2\). (Students were provided access to Desmos)</li>
</ol>
<p>Select the <strong>solution</strong> button to compare your work.</p>
<p><strong>Answer:</strong></p>
<p><img height="404" src="https://k12.openstax.org/contents/raise/resources/f84ef363352e6c2db71f8252bb205ff58a1b991f" width="428"></p>
<h4>Response to Student Thinking</h4>
<h5>Points to Emphasize</h5>
<p>Use student work from this cool down (or think-aloud, if student work does not show these strategies) to demonstrate finding the \(y\)-intercept or other key points on the graph that would make graphing easier.</p>