Top 10 MATHEMATICS grade 10-12 skills and popular lessons

To draw the graph of y = 3 + 2x + x², choose some x-values like -3 to 3. For each x, calculate y by putting the number into the formula. For example, if x = 0, then y = 3. If x = 1, then y = 6. Do this for several x-values to get points like (-2, 3), (0, 3), (1, 6), (2, 11), etc. Then plot these points on graph paper and connect them with a smooth curve. The shape will be a U-curve, called a parabola.

Solving nonlinear equations by graphing

How to Make a Good Argument:
Start with something you both agree on. Example: "We both know that exercise is good for your health."
Use that to support your opinion. Example: "That’s why I think we should have longer gym classes in school."

Show the connection clearly
"If exercise is healthy, then having more of it at school will help students feel better and do better in class."

This is called reasoning: You take a shared truth and use it to build your case. It makes your argument stronger because the other person already agrees with the first part! 

Understanding probability is a useful skills. It allows you to make informed choises that are not based on subjective feelings but an understanding of reality.

There are 7 days in a week. Saturday and Sunday are the weekend: 2 days.
So the probability is: 2 out of 7 -> 2/7 ≈ 0.2857 or about 28.6%.

A regular die has numbers 1 to 6. The numbers 3, 4, 5, and 6 are "at least 3" → 4 outcomes.
So the probability is: 4 out of 6 → 4/6 = 2/3 ≈ 66.7%

Let's revise the theory about Probability:

Source

Let’s learn the theory:

Once you enter adulthood, you will be faced with many responsibilities. You will have to understand new concepts that have a direct effect on your life. Understanding finances can save you a lot of money and help you make wise decisions. Buying your first house or apartment might happen sooner than you think. It’s worth getting ready to understand how to calculate interest and amortization.

Let’s learn the theory about Interest and amortization:

Mathematical equations can be used to solve many everyday life situations. Calculating the average speed of an object is one of them. However, perhaps a much more useful skill is the ability to tell someone who is waiting for you to finish your journey, at what time you will arrive.

Let’s learn the theory about Calculating average speed and distance travelled:

Everything that you study in Math has a practical application. Here are some practical applications for average rate of change:

• Rocket science and space travel
• Chemical Engineering Calculations
• Predicting your electricity bill: If you have an idea of the average rate in which electricity is consumed in your household, then you can predict your electricity bill for a month.

Let’s learn the theory about Rate of change:

Step 1: Add 8 to both sides. 6x - 8 > 10  → 6x > 18
Step 2: Divide both sides by 6. 6x > 18 → x > 3

Let’s learn the theory and method of Linear Differential Equations:

Let’s learn the theory about Rotational Symmetry:

Some of the practical applications of the Pythagorean theorem include marine navigation, building almost anything (houses, bridges etc.) and figuring out which TV-size to choose (sizes are given as diagonals, so you don’t know the hight and width).

Let’s learn the theory about Pythagorean Theorem:

Prime numbers are numbers that are divisible only by themselves and 1.

Let’s dive into the theory of Prime numbers