Category Archives: Grade 10
Something I’ve Learned This Week In Math(Nov 4)
This week in math, I have learned the “difference of squares” rule. In a situation like this: , rather than FOILing, you can just use this rule to easily find the product of the expression. always equals . So in a situation where you are given polynomials like this: , you know that it will equal or . You can just use this formula to solve questions rather than going through the whole FOILing process, because you know that the middle part will cancel out.
Something I’ve Learned in Math This Week
This week in Math, I learned how to find the measure of an angle of a right triangle with two side lengths. First you need to need to label the triangle sides relative to the angle you are trying to find. The hypotenuse is the longest side. The adjacent is the side next to the angle that isn’t the hypotenuse. The opposite is the side opposite of the angle. Next, with the two side lengths you are given, you need to find the trigonometric function that works with the side lengths you are given. sin=opposite/hypotenuse, cos=adjacent/hypotenuse, and tan=opposite/adjacent.
As you can see in this example, we are given the side lengths of opposite and adjacent, therefore, we use tan=opposite/adjacent. We know that in this example, opposite=9.7 and adjacent=5.2. So in our calculator we would type in then press “=”. The answer we get should be something like 61.80502… which would round to 62, so our answer would be , and that is how you find the measure of an angle of a right triangle with only two side lengths.
LateX coding
Example 1: exponents
Example 2: two digit exponents
Example 3: fractions
Example 4: change size
Example 5: adding trig functions
Example 6:
Example 7: colours
Example 8: background colour
Something I’ve Learned in Math This Week
This week in Math, I learned how to calculate the surface area of a sphere. All you have to do is insert the measurements into this formula: 4πr^2 and you will find your answer. In this formula, you will need either the radius or the diameter which you can then turn to radius.
The radius is the distance between the centre of the circle to the outer edge and is represented by “r” in the diagram above. If you are given the diameter, represented by “d” above, all you need to do is divide that number by 2 and take that number.
Let’s say for example that the radius(r) of the circle above was 2. All you would need to do is plug that number into the formula(4πr^2) to figure out your answer like this on your calculator:
Something I Have Learned in Math This Week(Oct 7)
This week I learned how to read measurements on a micrometer.
First you have to put your object into your micrometer then twist the thimble it until the object is tight inside. Then, you would read the last visible number on the sleeve/barrel which will tell you how many millimeters to start with by 0.5mm increments. Then, you would look at the number on the thimble that matches up with the centre line and divide that number by a hundred then add that to your initial measurement on the barrel.
In this example, you can see that the last visible number on the barrel is 16.5. You can also see that the number on the thimble reads 16. With that you add 0.16 to 16.5 which equals 16.66, so the measurement of your object is 16.66mm.
Songs w/ Poetic Devices
Something I Learned In Math This Week
This week I learned that you can turn numbers with fractional exponents into a radical. The numerator of the fraction would be the power of the radical and the denominator would be the index of the radical.
In this example, the “2” would become the power of the radical, and the “3” would become the index of the radical like this:
Kurumba may not be crowded, but deserves much more attention for its unique yet delicious dishes.
Despite Kurumba being a small quiet restaurant in Coquitlam, it still offers tons of great food and brings back warm memories, making it a great place to eat. Even though it’s not that crowded, the food will satisfy the needs of your taste buds. It serves appetizing Southeast Asian food that is nearly as good as the actual thing. Being born in Singapore, the food served at Kurumba brings back a nostalgic feeling of my hometown. The moment you walk into the establishment, you can feel the Southeast Asian ambience with the tan coloured walls, wooden chairs, and oriental-style decorations. The service may be slow during peak hours, but the food is worth the wait. My favourite dish to order is the roti canai and curry chicken. The roti is a crispy, flaky, flatbread-like dish that packs a load of buttery flavour for just a plain-looking bread. The curry chicken is a tender chicken marinated in a pot of curry sauce, giving your palate a spicy after-taste. The moment the dishes are placed on your table you can smell the spice-filled curry and freshly-made roti rise with the heat into your nostrils. Throughout eating your meal, you can occasionally hear the roaring of the kitchen fans, but oddly enough, it adds to the atmosphere of a hot southeast asian country, bringing you to the place itself. Even though the price may be more on the expensive-side for asian food, the somewhat generous portions and delicious dishes make it worth the cost. Kurumba may small and quiet, but it serves amazing unique food that’s hard to find in a place like Coquitlam.