Mathematics Grade 9: Introduction to Algebra

Introduction

https://youtu.be/96-IqGrdYuM

Introduction to Algebra

Student number: 218051107

Name: Rebecca Esau

Task

​​​​​ALGEBRA INTRODUCTION TASK:



You have now been introduced to the topic of Algebra. You should now be aware of some terms and approaches used in this topic. To assist you in understanding I have created a compilation of questions with links to youtube videos and websites whereby specific things are being explained. 



Watch the videos to help you complete the activities that follow to the best of your ability.

 

**SUBMISSION: Type out your name and answers only on a word document and send it to the following email: 218051107esaur@gmail.com, by 3 September 2021 at 12:00.**

Process

​​​​​Question 1: Identifying components of Algebraic Expressions​​​

Watch the video entitled  "Identifying Parts of an Expression..." answer the following questions based on the expression below:

2x³+4x²-5x-7y

  1. What is the value of the constant? (1)
  2. What is the value of the highest exponent? (1)
  3. What is the value of the co-efficient of x²? (1)
  4. What are the two variables in the expression? (2)
  5. Define what a variable is and what the purpose of it is. (2)
  6. Create an expression using various Mathematics symbols and components (exponents, variables, etc.). (1)

[8 marks]

 

Question 2: ​​Adding Like and Unlike terms

Watch the videos entitled "Intro to combining like terms..." and "Addition of Unlike Terms..." simplify the following expressions by adding like terms:

  1. 2m+5m+6-m-2 (2)
  2. 4s+s+t+t-5s-2t (2)
  3. 5h²+7h-2h²-7h+h (2)
  4. c³+c²+4c+2c²-c³+10c-10c³ (3)
  5. What have you noticed in the previous question? (1)
  6. Create your own algebraic expression where like and unlike terms are being combined. (2)

[12 marks]

 

Question 3: Multiplying Like and Unlike terms

Watch the video entitled"Adding and Multiplying Like Terms.." and "Multiplication of Algebraic Expressions..." and simplify the following expressions:

  1. h×h×h×h×h (1)
  2. t×4×t×5×2×t (1)
  3. 3×5×m×n×2n×-2 (2)
  4. 4×6×x²×y (2)
  5. g³×g×3g×h×h³ (2)
  6. Create your own algebraic sum using brackets/multiplication signs and simplify it. (2)

[10 marks]

Evaluation
Evaluation Sheet
  Total Needs improvement Good Excellent

Question 1

Identifying components

 8

0-3

Lack understanding

Did not complete task correctly

4-6

Unsure of procedures

Misunderstanding of task

7-8

Good understanding

Attentive and compliant

Question 2

Adding terms

 12

0-4

Lack of prior knowledge

Inability to use procedures

5-8

Needs guidance

Unsure about application

 

9-12

Good application skills

Able to use prior knowledge correctly

 

Question 3

Multiplying terms

 10

0-3

Lack of prior knowledge

Inability to follow instructions

4-7

good basis of understanding

Unable to distinguish between components accurately

8-10

Good understanding of questions

Good identification and application skills

 

Marks per question:

1 mark question: correct answer

2 mark question: correct answer, correct procedure

3 mark question: correct answer, correct procedure, correct identification/classification

Conclusion

When identifying components of an expression remember: (classified by bold print)

  • Term: -23xy⁴
  • Co-efficient: -4yz
  • Variable: 54d²
  • Exponent: -6h³

 

When adding expressions remember:

  • LIKE TERMS: terms with the same variables and exponent, e.g. 2x and -5x
  • UNLIKE TERMS: terms with different variables and exponents, e.g. 4x and 6y
  • Like terms can be combined, added or subtracted
  • Unlike terms cannot be combined, added or subtracted.​​​​​​

 

When multiplying expressions remember:

  1. Separate numbers from variables.
  2. Multiply numbers normally.
  3. Multiply variables, by adding the exponents of the same variables.
  4. e.g. (2)(x)(x)(y)= 2x²y

 

**SUBMISSION: Type out your name and answers only on a word document and send it to the following email : 218051107esaur@gmail.com, by 3 September 2021 at 12:00.**

Credits

Question 1:

Identifying Parts of an Expression: Algebra Animations - YouTube://youtu.be/LaSR4fsl66s

https://youtu.be/LaSR4fsl66s

 

​​​​​​Question 2:

Intro to combining like terms (video) | Khan Academy https://www.khanacademy.org/math/algebra-basics/alg-basics-algebraic-expressions/alg-basics-combining-like-terms/v/combining-like-terms

https://youtu.be/CLWpkv6ccpA

 

Addition of Unlike Terms - Math Only Math https://www.math-only-math.com/Addition-of-Unlike-Terms.html

 

Question 3:

Adding and Multiplying Like Terms - YouTube https://youtu.be/-ISMp2SUmbI

https://youtu.be/-ISMp2SUmbI

 

Multiplication of Algebraic Expressions - Solved Examples - Cuemath https://www.cuemath.com/algebra/multiplication-of-algebraic-expressions/