Category Archives: Grade 11
Pre Calc 11 Self Assesment
PE Peer Tutoring Self Reflection
Active Living 11 Self Assesment
Something that went well was learning all the sports and understanding every game. Something challenging was playing in the rain. One thing that I learned was the rules of certain games. A strength that I have is my personal well-being An example of this is that I can physically exceed in class during any activity. I can Develop my attitude when we are doing an activity I am not fond of. To achieve this goal, I can keep a positive attitude and not complain when we are going outside in the pouring rain.
Pre Calc 11 Blog #7 Solving Radical Equations
This week we learned how to solve quadratics that don’t factor. Here is an example:
To solve this, you have to complete a square. First, you must make sure your equation is equal to 0 by moving everything to one side. Then you take half of the first two terms being X^2 and 8x. You then square this number turning it into (X+4)^2. Now you take the 4 and square it to get 16. You take that 16 and subtract it from the third term being 18. Your final answer should be (X+4)^2 +2=0.
My best mistake this week was when the second term was negative. Since you are squaring that number it doesn’t matter if it is negative or positive, you still subtract from the third term.
Pre Calc 11 Week #6 Blog Post
This week in math we learned about factoring more complex trinomials using applications. To do this, you can input a variable where there are brackets to simplify the equation before solving. For example:
4(p+q)^2 +25. You can replace (P+Q) with any variable like “A” and solve that way. This question would simplify to 4A^2 -25 which can be factored down. Once factored down, you input (P+Q) for “A” and simplify.
My biggest mistake this week was sometimes forgetting negatives.
Pre-Calc 11 Week #5 – Graphing Radical Equations
This week we learned about rationalizing the denominator when the product is a binomial. To solve, you multiply the numerator and denominator by the conjugate of the binomial denominator. This means that you do the opposite equation to get rid of the middle function. Here are some examples:
My biggest mistake this week is simplifying the numbers in my head. To fix this, it is easier to write out the full equation before simplifying at the end. This results in fewer errors while doing these equations.
Pre Calc 11 Week 4 – Multiplying/Dividing Radicals
This week, we learned how to multiply and divide radicals. It is fairly simple as you just multiply like terms. If you had a question, you would multiply the coefficients together; then you would multiply the radicand as long as the index was the same. The same goes for dividing radicals. The different thing is when you have a binomial. When this happens, you have to take the denominator that has the binomial and multiply the entire question with the inverse equation. Here is an example:
My biggest mistake this week is not writing down my work and trying to do it all in my head in one go. This sometimes created mistakes I would not catch until I redid the question. When dividing, you have to make sure everything is done properly or else your answer will not be correct and it will be hard to find out why unless redone.
Pre Calc 11 Week 3 – Rewriting Radicals
This week in math, I learned that you can rewrite a bigger number with a fraction as a power. An example of this is 32 to the power of 1/5. This can be rewritten as the 5th root of 32. The 5th root of 32 is just 2, meaning you can rewrite 32 to the power of 1/5 as 2. That was my best mistake because on the skills check, that was the only thing I did not do.
Week #2 Pre Calc 11 – Fractions as Powers
This week, we learned how to solve a number that has a fraction as a power. To solve this, the denominator of the fraction goes to the root. The numerator goes to the power of the number. For example, if your question is 9 to the power of 3/2, you would take the two and root it to the 9. Then you would multiply the rooted 9 to the power of 3. This would equal 27. We also relearned about different laws. My biggest mistake is with the negative powers when the number is in a bracket. This means that both numbers are being multiplied by the power while switching places. Here is an example.