Fatima Flores

My Portfolio @ York College / CUNY

5 Lesson Plan #2

 

 

Lesson plan

Mrs. Flores

Target Audience: Grade 8

 

Topic: Special Products

 

 
Objective: Students will be able to understand the pattern and apply a shortcut to square binomials of the forms 

  • ·         (a + b) 2 = a 2 + 2ab + b 2

 

The result of expanding (x + a)^2 is to get x^2 plus twice ax, plus the square of a. 

 

  • Students will review expanding and simplifying.
  • Students will learn, understand, and apply a shortcut to square binomials in the square form.
  • Students will practice these skills on the guided practice exercises.
  • Students will be able to show their understanding of the topic by explaining how they solve the problem.
 Do Now: expand and simplify each product 

  • 2(x+3)

 

  •  (3x)(4+x-3x)

 
 Examples 1 

  • (x+1)^2 = (x+1)(x+1)=X^2+2x+1
  • (x+2)^2 = x^2 + 4X +4
  • (2t+3)^2 =(2t+3)(2t+3)=4t^2 + 12xt+9

 

 
 Guided Practice  (a + b) 2 = a 2 + 2ab + b 2 

Expand each expression

 A=3x and b=4

  •  (3x+4)(3x+4)

 

Find each product

  •  (n+3)^2   
  •  (4m + 3n)^2

 
Home work  

  1. (6 + U)^2
  2. (3b + 2q) (3b + 2q)
  3. (x y + 5)^2

 

Challenging

 

  • (x + 2)(x + 2) (x + 2)
  • (a-b)^2

 
Reflection: After learning this topic, students should feel confident enough to square binomials and apply their knowledge on new topics that apply the knowledge of especial products.  
Note:  (a+b) ^2 does not equal a^2 +b^2.