Top 10 MATHEMATICS grade 10-12 skills and popular lessons

Remember, math is awesome :-)
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3 lessons

Solving nonlinear equations by graphing

Excercises

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1 lesson

Analyzing an argument for validity

Excercises

1 lesson

Probability

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.

Let's revise the theory:

Here's an example of a real life situation where probability is useful.

Sports Strategies

Athletes and coaches use probability to determine the best sports strategies for games and competitions. A baseball coach evaluates a player's batting average when placing him in the lineup. For example, a player with a 200 batting average means he's gotten a base hit two out of every 10 at bats. A player with a 400 batting average is even more likely to get a hit – four base hits out of every 10 at bats. Or, if a high-school football kicker makes nine out of 15 field goal attempts from over 40 yards during the season, he has a 60 percent chance of scoring on his next field goal attempt from that distance. The equation is: 9/15 = 0.60 or 60%

Source

1 lesson

Source

Let’s learn the theory:

Exercises:

1. A dining-table is marked for \$7500 and is sold for \$6000.

• Find the discount given.
• Find the discount given as percent.

2. In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at \$220before tax. How much sales tax does Yuki pay for her handbag purchase?

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1 lesson

Interest and amortization

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:

Exerecises:

1. Chris Columbus bought a house for \$293,000. He put 20% down and obtained a simple interest amortized loan for the balance at % 8 3 5 annually interest for 30 years.
2. Find the amount of Chris’s monthly payment.
3. Find the total interest paid by Chris.
4. Most lenders will approve a home loan only if the total of all the borrower’s monthly payments, including the home loan payment, is no more than 38% of the borrower’s monthly income. How much must Chris make in order to qualify for the loan?
5. Complete an amortization table for the first 2 months of the loan, the 180th through 181th months (only find the balance due for the 180th month) of the loan, and the final 2 months (only find the balance due for the 359th month) of the loan.

Find the answers and more examples here.

1 lesson

Calculating average speed and distance travelled

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:

Here’s a great website with example problems and instructional videos

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1 lesson

Rate of change

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:

Here’s a good link that explains the topic with clear examples:

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1 lesson

Linear differential equations

Let’s learn the theory:

Excercises:

math.libretexts.org Differential Equations

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1 lesson

Rotational Symmetry

Let’s learn the theory:

Exercises:

2. What are the coordinates when the following points are mirrored according to the x-axis?

• (4, 1)
• (0, -5)
• (-6, 0)
• (-4, -7)

3. What are the coordinates when the above points are mirrored according to the y-axis?

4. Draw a triangle A(-1, 3), B(-2, 0) and C(2, -1). Mirror the triangle by the point (0, 1), What are the vertices of the mirrored triangle?

1 lesson

Pythagorean Theorem

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:

Exercises

Here are some excellent online exercises of the Pythagorean theorem:

https://www.shmoop.com/squares-square-roots/pythagorean-theorem-exercises.html

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1 lesson

Prime numbers

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

Let’s learn the theory

Exercises:

Here are online worksheets about prime numbers

Mathscore Prime%20Numbers

Mount Royal University->Higher Arithmetic->Prime_numbers

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