Derive quad. forrm. by cmpl. sq., find an equa given sum/prod of roots, Continuity

What

Derive quad. forrm. by cmpl. sq., find an equa given sum/prod of roots, Continuity

When

9/27/2021

 

Teacher: Mark Felton                    Course: Honors Algebra 2

Subject:  Derive Quadratic formula by completing the square, find equation given the sum & product of roots, Continuity

Date of Instruction: 09/27/2021 - Monday

Standard(s): Prove polynomial identities MGSE9-12.A.APR.3

Solve quadratic equations by completing the square MGSE9-12.A.REI.4b

Rearrange formulas to highlight a quantity of interest l(like sum/product of roots) MGse9-12.A.CED.4

Learning Target: I can derive the quadratic formula by completing the square

I can find a quadratic equation given the sum and product of roots

I can identify a continuous graph or a non-continuous graph and I can describe the interval over which the graph is continuous

Success Criteria:

Introduction/Opening/Connection or Warm-up: Simplify results from applying the quadratic formula 

Direct Instruction: Notetaking guide: Complete the square to derive the quadratic formula. Find quadratic equations given the sum and product of roots.  Describe where a function is continuous using interval notation.

Guided Practice: Derive quad formula on notetaking guide.Find four equations given their sum & product of roots.  Identify continuous graphs and label their intervals of continuity (worksheet)

Independent Practice/Collaborative Practice/Differentiation: Scaffolding when appropriate 

Summarizer: This find a quadratic equation given the sum and product of roots is sometimes on the math portion of the SAT.

Assignment:  Complete warmup to practice simplifying quadratics,  Complete notetaking guide in class.  Solve four problems on notetaking guide.  Complete 12 Continuity problems on handout.  

What we did in class today: 1) Students should have minimal homework tonight unless they owe me prior assignments!