Category: Math 9

Core Competency Math 9 Aidan Starr

Aidan on

I have demonstrated critical thinking by thinking of ways that better performance in math and improve my grades like making my self a study routine that I have found useful to me and that has improved my grades. My first math test I scored a C+, and my most recent math test I have improved to an A. I have done this by asking questions, studying with friends and thinking of ways that can calm test anxiety which have all lead to improved performance. I can look over my errors and reflect on them, ask for help and learn where I went wrong to improve for next time.

Unit 3/4 Summary Assignment

Aidan on

This unit in math we covered linear equations, we learned how to solve inequalities, and learned how to solve for x in equations with an equal sign or with a greater than or less sign. For my project I will be solving two different kinds of linear equations with different signs. For my first example I will be solving a number line equation. For my second example I will be determining the value of x.

For my number line equation the first step is to write the worded question as a linear equation.

“The temperature is at most-4 degrees Celsius.

we can determine that the equation includes-4, making the equation anything less than or equal to -4

To write that as a linear equation it would look like x≤-4

To place this on a number line determine your boundary point of -4, and draw your arrow facing the left towards any number less than or equal to -4, make sure you shade your dot to determine that it is also equal to.

For my second example I will be solving a linear equation to solve the variable.

3x+2=8

To isolate x we move the constant to the right side of the variable changing our equation to 3x=8 -2 which turns in to 3x=6

the next step is to divide the the coefficient by its self (divide by 3x) and we also divide 6 by 3x which isolates x making our answer x=2

For my next example I will be doing the equation 6x-5= 4x -17

like our example we want to isolate x to do so, we can swap the -5 and 4x

it is important to remember whenever a number goes over the equal sign it changes values.

Our new equation is 2x=-12

To isolate x we need to divide 2x by it’s self and divide -12 by 2x as well

After we have divided x has been isolated making our answer x=-6

Unit 2 math assignment Aidan Starr

Aidan on

This unit we covered powers and square roots, Pythagorean theorem, and covered exponent laws such as the Product rule, Quotient rule, Zero power rule, Combined Operations, Combining powers, Power to Power rule, raising a product to a power, raising a sum to a power and raising a quotient to a power, and estimating the square roots of irrational numbers. For my assaigment I will be doing just that and demonstrating how I can use multiplication to find the closest square root to an irrational number.

Step 1.

Find out If your number is an irrational number meaning it is a repeating decimal without a pattern or if it is a rational number.

Step 2.

Find two multiples that your number falls between.

Step 3 find which multiples your number is closest two.

Step 4 choose the appropriate decimal to estimate the square root of your irrational number.

For my examples I will estimate the square roots of the numbers 24 and 430.


            

 

 

Math Unit 1 Aidan Starr

Aidan on

This past week of math we covered integers and learned about adding, subtracting, dividing and multiplying rational numbers such as fractions. We learned how to convert improper fractions into mixed and vice versa and how to turn decimals into fractions. There are certain rules we learned with adding and subtracting integers, a formula with 2 negative numbers will turn into a positive, adding two positives will have a positive outcome and adding and negative and positive will make a negative. When we divide fractions we learned that we convert mixed fractions into improper fractions and that we flip the reciprocal, multiply the two fractions and reduce to the lowest common denominator. When we add fractions we learnt that if they do not share a common denominator we have to fined their common denominator to properly add or subtract the fractions. Other topics we have learnt are placing decimals and fractions on number lines, we have learned about real numbers, rational numbers, whole numbers, integers, and natural numbers. For my example I will demonstrate how to divide two fractions and the steps that it took me to get my answer. I will also be demonstrating how to convert a mixed fraction into an improper fraction and an improper fraction into a mixed fraction.

Step 1.

flip the reciprocal number

Step 2.

cross reduce your fractions to their lowest form.

Step 3.

multiply your reduced fractions.

Step 4 reduce the new fraction to get your answer.

Step 1

Multiply the the whole number and the denominator.

Step 2

Add the numerator

Step 3

add your mutilped number to the numerator

Step 4

Write the totalled number on top of the same denominator you started with for your answer. (denominator stays the same)

Step 1

figure out how many times the denominator goes into the numerator.

Step 2.

write the the remainder beside the whole number on top of the denominator.

Step 3

Place the whole number on the left hand side of the fraction and keep the denominator the same.

Step 4 to see if you did it write times the denominator by the whole number and add the numerator and see if it is equal to your improper fraction.