Teacher:
Ms. S. Mills
Subject:
Mathematics
Grade:
10
Date:
September 2022
Topic:
Algebra
Sub Topic:
Product of Two Binomials
General Objectives - Students should be able to manipulate the distributive law to solve
problems relating to product of two binomials.
Specific Objectives: Students should be able to:
Knowledge
(i)
Multiply two different binomials
(ii)
Multiply a binomial by itself
(iii)
Multiply two binomials where the result is a difference of two
squares.
(iv)
Use the foil or grid method to facilitate the multiplication of any
given two binomials
(v)
Solve geometric problems using the multiplication of two
binomials
Prerequisite:
Students should be able to :
- Manipulate the distributive property of multiplication.
- Add and subtract algebraic expressions
- Multipy monomials by algebraic expressions
Engagement
Students will be asked to solve the following problems.
(i)
5𝑥 2 𝑦 × 3𝑥𝑦 3
(ii)
3𝑦 × (4𝑥 + 3)
(iii) (5𝑎 + 7) × 2
(iv)
𝑥 2 × (3𝑥𝑦 + 𝑥 3 )
Whole Class Share
Students will be selected at random to solve problem on white board. Misconceptions will be
identified and correct.
Explain
If (𝑎 + 𝑏)(𝑐 + 𝑑) can be expressed as:
And further expressed as:
Which gives:
Resulting in 𝑎𝑐 + 𝑏𝑐 + 𝑎𝑑 + 𝑏𝑑
Explore (Pair Sharing)
Then, Expand and simplify (𝑥 + 4)(𝑥 + 6) using this method
Whole Class Share – A pair will volunteer to share solution with class.
Explanation
To solve (𝑥 − 2)(𝑥 2 +) can be solve:
𝑥3 + 𝑥
− 2𝑥 2
Rules when multiplying:
First
first term in each bracket
Outer
outer term in each bracket
Inner
inner term in each bracket
Last
the last term in each bracket
Another Way
−2
Explore – (pair share)
Using any method of your choice, expand and simplify:
(i)
(2𝑚 + 4)(2𝑚 − 4)
(ii)
(2𝑦 − 5)2
Whole Class Share – Students will be chosen at random to solve problems on white board.
Identification and correction of misconceptions will be done.
Elaborate
Please find attached worksheet.
Extended Learning
Find the area of a rectangle that has a width of −𝑥−5𝑦 cm and a length
of −𝑥+4𝑦 cm