What I have learned about grade 9 solving equations
- An equation is a statement that contains one or more variables. Solving the equations consists of determining which values of the variables make the answer true.
- An equivalent equation are algebraic equations that have identical solutions
Equation: a statement that the values of two mathematical expressions are equal
Equivalent: Equal in value
Solution: Solving a problem for the correct answer
Coefficient: The number before a variable
Zero Pairs: a pair of numbers whose sum is zero, e.g. +1, -1
Variable: a variable is a symbol, commonly a single letter, that represents a number, called the value of the variable
Common denominator: The same number on the bottom of a fraction
This is my mind map project and it revolves around electricity. In this project I showed how the production, transportation, disposal and consumption of electricity can affect the 4 spheres.
This is my project on the research of telomeres. Telomeres are the caps on the end of the chromosomes.
i. DEFINE: Outline the specifics of the problem.
Growing the telomeres will make humans not age and their will be problems because lots of people will want this procedure and probably only few will be able to get it since it will probably be expensive and could cause cancer.
ii. DISCOVER: Question and Investigate the issue. What are the underlying issues? Who is affected? What stances have certain countries taken on the issue? What other questions need to be researched to get the information needed to take a stand?
The issue is that everyday our telomeres shrink and that we will die one day. And when our telomeres shrink we age. Everyone around the world is affected and many countries and taking the time to research about telomere extension.
iii. DELIVER: Share your opinion though an infographic. Use a format that is as effective as possible. Include media that gets your ideas across
iv. DEBRIEF: Reflect on quality of the product and the process you went through.
I feel that both me and Paul worked very well on this project and the project turned out good and we are happy with it.
Before we studied the Indian Act in class, I knew that the First nations children were treated bad in the residential schools.
5 ideas I learned about the Indian Act are:
- They had a status card that gave them benefits
2. They lived on reserves that were not maintained well
3. The first nations women would loose their status if they married another person with a different culture
4. They had to have permission to leave reserves
5. They got diseases when the family’s got bigger since the reserves were compact.
One Question I have is how many first nations are left in Canada.
I am going to use this information I learned to teach other generations about the Indian Act to stop the stereotypes about the First Nations and not to repeat history.
Paragraph on why we chose to design and make the book this way
For our project, the cremation of Sam Mcgee, we found that instead of using real props for our pictures, we decided to use a editing app that would help add props into the picture. our group used detail with are virtual props so that they look real to a children’s perspective.
For the slides, we choose a variety of colours showing the temperatures and mood in the writing. red, orange and yellow, dark blue, baby blue and aqua. E.G, in slide two we used baby blue because the weather was cold
Overall, I think that our group completed all of our individual tasks, we all had an even part in this project.
Paragraph written by Ben
What I have learned about grade 9 polynomials
- Names of polynomials (types)
Monomial – 5x
Binomial – x + 4
Trinomial – 2x – 5 + 2
Polynomial – 5x + 5 – 3x – 2
- Adding polynomials
Adding polynomials is just combining like terms
2x^2 + 6x + 5 + 3x^2 – 2x – 1
2x^2 + 3x^2 + 6x – 2x + 5 – 1
5x^2 + 4x + 4
- Subtracting polynomials
Subtracting polynomials is combing like terms after you have flipped the sign of the terms that are being subtracted
(x^3 + 4x – 2) – (2x^3 + 5x)
x^3 + 4x – 2 – 2x^3 – 5x
-x^3 – x – 2
- Multiplying polynomials
Multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify
(x + 2y) (3x – 4y +5)
3x^2 – 4xy + 5x + 6xy – 8y^2 + 10y
3x^2 + 2xy + 5x – 8y^2 +10y
- Dividing polynomials
(4x^2 + 4x – 10) / 2
2x^2 + 2x – 5
- How to find degree of polynomials
It is the largest exponent of its terms
Example: 2x^3 + x^2 – 7
The degree of the polynomial is 3 because it is the largest exponent of its terms
What I have learned about grade 9 exponents
What is and exponent?
– An exponent refers to the number of times a number is multiplied by itself
2^3 = 2x2x2
What is the difference between evaluating and simplifying?
– Evaluating is when substitute values for variables to solve the expression and simplifying is reducing an expression to a simpler form that is easier to work with.
Evaluating = x^3, if x equals 2 than 2^3 = 8
Simplifying = 2^4 x 2^7 = 2^11
– When multiplying 2 powers with the same base you add the exponents.
2^3 * 2^5 = 2^8
– When dividing 2 powers with the same base you subtract the exponents.
4^6 / 4^3 = 4^3
Power of a power law
– When you raise a power to a power you multiply the exponents.
(x^5)^4 = x^20
Exponents on variables
– An unknown number is raised to a power.
x^5 The variable x is raised to a power of 5.