A Learning Activity is a strategy a teacher chooses to actively
engage students in learning a concept or skill using a digital tool/resource.
You may save this Learning Activity to your hard drive as an .html file by
selecting “File”,then “Save As” from your browser’s
pull down menu. The file name extension must be .html.
Phase:
During/Explore/Explain
Activity:
The teacher will show the students how to input the quadratic equation in Desmos.
The teacher will discuss: "When the graph touches, intersects or does not intersect with the x-axis, that is the solution." If the graph does not touch or intersect the x-axis, then the quadratic equation does not have a solution.
The teacher can show the following examples and ask the students where the graph crosses the x-axis:
1. x2 +3x +2 = 0
This graph will cross the x-axis at -2 and -1. Solution -2, -1
2. x2 - 5x - 6 = 0
This graph will cross the x-axis at -1 and 6. Solution -1, 6
3. x2 – 4x + 4 = 0
This graph does not cross the x-axis but touches it at 2. Solution 2
4. x2 +3x +5 = 0
The teacher can ask the question, "What do you notice about this graph?"
This graph does not cross the x-axis. The entire graph will be above the x-axis. No Solution
The teacher will place students in groups to work the following problems to check for understanding:
1. x2 − 9x + 18 = 0
2. 2x2 – 4x + 2 = 0
3. x2 + 5x + 4 = 0
4. 3x2 -7 x + 5 = 0
Solutions:
1. 3, 6
2. 1
3. -4, -1
4. No Solution
The teacher will use the following questions for students to work individually:
Solve each equation by graphing.
1) x2 − 8x + 16 = 0
2) x2 − 14x + 48 = 0
3) x2 + 2x – 48 = 0
4) −x2 − 7x − 6 = 0
5) x2 − 5x − 14 = 0
6) x2 + 7x + 16 = 0
7) 2x2 + 10x – 12 = 0
8) x2 – 1 = 0
9) x2 – 5x + 6 = 0
10) x2 +3x + 9 = 0
Answers
4
6, 8
-8, 6
-6, -1
-2, 7
-6, 1
No solution
-1, 1
2, 3
No solution
Assessment Strategies:
The teacher will ask students to answer the questions from the group work for the formative assessment.
The questions for individual work will be assigned for a summative assessment.
Advanced Preparation:
The teacher will need a computer with internet access.
The teacher will project website on an interactive whiteboard.
The teacher will need worksheet made from the questions for students.
The students will need their own device with internet access.
Variation Tips (optional):
The teacher can place students in collaborative groups for extra help with the assignments.