Unit 5: quadratic Relations |
Length: Two weeks
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Learning Goals:
Week 1: Investigating the Three Forms of a Quadratic Relation
1. I can identify the three forms of a Quadratic Relation: Standard, Factored and Vertex.
2. I can use algebra to change (EXPAND) from Factored Form to Standard Form. (Time: 2:09-3:14)
3. I can use algebra to change (EXPAND) from Vertex Form to Standard Form. (Time: 0-2:08)
4. I can use algebra to change (FACTOR) from Standard Form to Factored Form. (Video includes Vertex to Standard to Factored)
5. I know what special properties of the parabola that each form tells me (i.e. x-intercepts, vertex, y-intercept, step pattern).
6. I can pick out the x-intercepts (zeros) of a parabola from Factored Form.
7. I can pick out the vertex (max/min) of a parabola from Vertex Form.
8. I can pick out the y-intercept of a parabola from Standard Form.
Week 2: Applications of Quadratic Relation
1. I can make a choice about which form I need depending on the information required (i.e. x-intercepts, vertex, y-intercept).
2. I can use Factored Form to solve real life applications of Quadratic Functions (i.e. When the ball hits the ground?)
3. I can use Vertex Form to solve real life applications of Quadratic Functions (i.e. Maximum height, profit, etc.?)
4. I can use Standard Form to solve real life applications of Quadratic Functions (i.e. How high is the ball/rocket launched from?).
5. I can make a choice about which form I need depending on the information required (i.e. Launch height, max/min, travel time)
6. I can perform the proper algebraic operations to change to the form I need.
1. I can identify the three forms of a Quadratic Relation: Standard, Factored and Vertex.
2. I can use algebra to change (EXPAND) from Factored Form to Standard Form. (Time: 2:09-3:14)
3. I can use algebra to change (EXPAND) from Vertex Form to Standard Form. (Time: 0-2:08)
4. I can use algebra to change (FACTOR) from Standard Form to Factored Form. (Video includes Vertex to Standard to Factored)
5. I know what special properties of the parabola that each form tells me (i.e. x-intercepts, vertex, y-intercept, step pattern).
6. I can pick out the x-intercepts (zeros) of a parabola from Factored Form.
7. I can pick out the vertex (max/min) of a parabola from Vertex Form.
8. I can pick out the y-intercept of a parabola from Standard Form.
Week 2: Applications of Quadratic Relation
1. I can make a choice about which form I need depending on the information required (i.e. x-intercepts, vertex, y-intercept).
2. I can use Factored Form to solve real life applications of Quadratic Functions (i.e. When the ball hits the ground?)
3. I can use Vertex Form to solve real life applications of Quadratic Functions (i.e. Maximum height, profit, etc.?)
4. I can use Standard Form to solve real life applications of Quadratic Functions (i.e. How high is the ball/rocket launched from?).
5. I can make a choice about which form I need depending on the information required (i.e. Launch height, max/min, travel time)
6. I can perform the proper algebraic operations to change to the form I need.
Daily Schedule and Worksheets:
Week 1: March 21st-25th
Monday: Algebra Review for Quadratics & Practice Tuesday: 3 Form Investigation & Practice Wednesday: Factored Form & Practice Thursday: Review & Test Friday: Good Friday |
Week: March 28th-April 1st
Monday: Easter Monday Tuesday: Application: Projectiles & Worksheet Wednesday: Application: Profit & Worksheet Thursday: Application: Summary & Worksheet Friday: Review & Test |