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Mathematics 8
Lesson 1
FACTORS OF
TRINOMIAL
Enhancement and Consolidation Camps
.
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)
.Lesson Component 2
(Lesson Purpose/Intention)
Time: 3 minutes
Goal:
Solving real life problems
using factorizing
trinomials.
.
Lesson Component 3 (Lesson Language Practice)
Time: 5 minutes
Key words/terms are:
1. Product
2. Factor
3. Square
4. Expand
5. Factorizing
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
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
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
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)
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
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
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
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
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
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?

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Math Lesson 1-- Factors of Trinomial.pptx

  • 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?

Editor's Notes

  1. Read the words Let students define and read it individually Then as a whole
  2. Let x be daughter’s age Y = mother’s age
  3. Let x be daughter’s age Y = mother’s age
  4. Let x be daughter’s age Y = mother’s age
  5. Let x be daughter’s age Y = mother’s age
  6. Let x be daughter’s age Y = mother’s age
  7. Let x be daughter’s age Y = mother’s age