factors of trinomial

1. Mathematics 8
Lesson 1
FACTORS OF
TRINOMIAL
Enhancement and Consolidation Camps

2. .
Key Idea: Solving real life problems using factorizing trinomials
FACTOR THE FOLLOWING:
1.3x + 12
2.4𝑥2
+ 20𝑥
3.𝑥2
+ 5𝑥 + 6
4.𝑥2
− 9
5.9𝑏2
− 3𝑏 − 2
3(x + 4)
4x(x + 5)
x + 3 (x + 2)
x + 3 (x − 3)
3b − 2 (3𝑏 + 1)

3. .Lesson Component 2
(Lesson Purpose/Intention)
Time: 3 minutes
Goal:
Solving real life problems
using factorizing
trinomials.

4. .
Lesson Component 3 (Lesson Language Practice)
Time: 5 minutes
Key words/terms are:
1. Product
2. Factor
3. Square
4. Expand
5. Factorizing

5. Lesson Component 4A (Lesson activity)
.
Time: 5 minutes
Let’s answer this!
The square of a number equals 16 times that
number. What is the number?
1. Write an equation to show the
information in the problem
𝟏. 𝒙𝟐
= 𝟏𝟔𝒙 𝒐𝒓 𝒙𝟐
− 𝟏𝟔𝒙 = 𝟎

6. Lesson Component 4B (Lesson Activity)
.
Time: 5 minutes
Let’s answer this!
The square of a number equals 16 times that
number. What is the number?
2. Simplify the expression.
𝒙𝟐
= 𝟏𝟔𝒙 𝒐𝒓 𝒙𝟐
− 𝟏𝟔𝒙 = 𝟎
𝒙(𝒙 − 𝟏𝟔) = 𝟎

7. Lesson Component 4B (Lesson Activity)
.
Time: 5 minutes
Let’s answer this!
The square of a number equals 16 times that
number. What is the number?
3. Solve the problem.
𝒙(𝒙 − 𝟏𝟔) = 𝟎
𝒙 𝒄𝒂𝒏 𝒆𝒒𝒖𝒂𝒍 𝒕𝒐 𝟎 𝒐𝒓 𝟏𝟔

8. Lesson Component 4C (Lesson Activity)
.
Time: 2 minutes
Let’s answer this!
The sum of the ages of a mother and a daughter is
39. the mother is 3 years younger than the square
of the daughter’s age. How old is the mother and
the daughter?
1. Write an expression to show the
information in the problem.
𝒙 + 𝒚 = 𝟑𝟗 𝒚 = 𝒙𝟐
− 𝟑 (mother’s age)

9. Lesson Component 4C (Lesson Activity)
.
Time: 2 minutes
Let’s answer this!
The sum of the ages of a mother and a daughter is
39. the mother is 3 years younger than the square
of the daughter’s age. How old is the mother and
the daughter?
2. Form a trinomial using your expression
from Q1.
𝟐. 𝒙𝟐
+𝒙 − 𝟑 = 𝟑𝟗 𝒙𝟐
+𝒙 − 𝟒𝟐 = 𝟎

10. Lesson Component 4C (Lesson Activity)
.
Time: 2 minutes
Let’s answer this!
The sum of the ages of a mother and a daughter is
39. the mother is 3 years younger than the square
of the daughter’s age. How old is the mother and
the daughter?
3. Factorize to solve the problem.
3. (𝒙 + 𝟕)(𝒙 − 𝟔) = 𝟎 𝒙 = −𝟕; 𝒙 = 𝟔

11. Lesson Component 4C (Lesson Activity)
.
Time: 2 minutes
Let’s answer this!
The sum of the ages of a mother and a daughter is
39. the mother is 3 years younger than the square
of the daughter’s age. How old is the mother and
the daughter?
4. Why is one of the solutions NOT usable?
𝒙 = −𝟕; 𝒙 = 𝟔

12. Lesson Component 4C (Lesson Activity)
.
Time: 2 minutes
Let’s answer this!
The sum of the ages of a mother and a daughter is
39. the mother is 3 years younger than the square
of the daughter’s age. How old is the mother and
the daughter?
4. Why is one of the solutions NOT usable?
−𝟕 𝒄𝒂𝒏′𝒕 𝒃𝒆 𝒂𝒏 𝒂𝒈𝒆
𝒙 = −𝟕; 𝒙 = 𝟔

13. Lesson Component 4C (Lesson Activity)
.
Time: 2 minutes
Let’s answer this!
The sum of the ages of a mother and a daughter is
39. the mother is 3 years younger than the square
of the daughter’s age. How old is the mother and
the daughter?
5. What are the ages of the mother and
daughter?
𝒅𝒂𝒖𝒈𝒉𝒕𝒆𝒓 = 𝟔 𝒎𝒐𝒕𝒉𝒆𝒓 = 𝟑𝟑

14. Lesson Component 5 (Lesson Conclusion – Reflection/Metacognition on
.Student Goals)
Time: 5 minutes
o What do you think were the key mathematical concepts addressed in this
lesson?
o Would you rate your level of understanding of the material covered in
this lesson as high, moderate, or low?
o Has the lesson helped you to gain further insight into aspects of the
material covered that represent strengths or represent weaknesses?
o What would you describe as the main barriers, if any, to your ongoing
progress and achievement in relation to the topic area addressed in this
lesson?
o What do you think would best assist your ongoing progress and
achievement in relation to the topic area?