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:pen: Algebraic Equations :pen: By: Vittoria & Clara (Terminology,…
:pen: Algebraic Equations :pen: By: Vittoria & Clara
Factorisation of Linear algebraic equations
The process of expressing a composite number as a product of prime numbers is called prime factorisation
8r - 8s = 8(r - s)
3a + 3y = 3(a + y)
Terminology
Command terms
Expand
To open up the brackets of a question in order to simplify it
Evaluate
To answer a question by following the steps
Substitute
To replace something with something else
Simplify
To break down the meaning of a question
Factorise
To express a composite number as a product of prime numbers is called prime factorisation
Justify
To prove your answer through laying out the steps and substitution
key terms
Like terms
Numbers that have the same variables
Variables
Unknown numbers shown through a letter
Unlike terms
Numbers that have different variables
Constant terms
Numbers (never change value)
Co-efficient
A number next to a variable
Index notation
Square numbers
Equations & Expressions
Rules:
Cross-Multiplication
Distributive law
BEDMAS
B=Brackets E= Exponent D= Division M= Multiplication A= Addition S= Substraction
Equations and Expressions
Expression
Expression is when you want to express a formula or an answer.
EXAMPLE:
3e + 5y - 9c
Equations
A linear equation is when an expression has an equal sign.
EXAMPLE:
4g x 10m = 40
EXAMPLES:
25x = 25y
Consecutive integers
EXAMPLE:
Mr.David is 3 times as old as his son. In 25 years time, the sum of their ages will be 75. Find Mr. David and his son's age
1a+1c = 65w
xy=2xy-7 When x=5 and y=3
Simplification of Linear algebraic expresions
Simplification is when you simplify an algebraic equation or expression to find out the meaning
EXAMPLES:
4s - 2s + 3f = 2s + 3f
2y + 4r + 8y + 1r = 10y + 5r
Distributive Law
To make an equation simpler (like simplification)
a(b + c) = ab + ac
Real-life examples
A car salesman has a basic salary of $20,000 a month. For every car he sells he gets $800 commission. Let 'n' be the number of cars that he sells in a month
Statement of Inquiry:
Identifying
the
pattern
allows one to
connect
and
relate
mathematics to
systems
in real life
Global Context: Identities & Relationships
Related concept: Pattern, System
Key concept: Connection
BMI PROJECT:
BMI formula
Mathematical Connection:
Find out how to calculate your
Body Mass Index
𝑤𝑒𝑖𝑔ℎ𝑡 (𝑘𝑔) /[ℎ𝑒𝑖𝑔ℎ𝑡 (𝑚)]^2
Vitt's Reflection:
During this unit I learnt about algebraic linear equations and all their rules and concepts, like factorisation and simplification. We also learnt about the body mass index and how to calculate your own. I enjoyed learning about the distributive law and the terminology used. I did had some difficulty with factorising and simplifying algebraic equations quickly while following the steps, but it was still fun. I think i was a risk-taker and reflective during this unit, as it was needed to be able to improve. I used information literacy skills and self-management skills during this unit, because we did many projects which required time management and we used many different online programs, which required literacy in technology.
Clara's reflection
in this unit, i think I was a communicator because i socialised with persons to calculate there BMI in Chinia. i really enjoyed this unit!! THANK YOU MS. LAKSHMI!!!!!
Learner Profiles and ATLs: