Week 14 prec 11

We finished the ch8 in the week 14.

For the absolute value equations, the key thing is the x-intercepts, we should find the x-intercepts first when we doing these questions, after we find the x-intercepts, we turn the negative part over the x-axis. 

For the reciprocals functions, we should remember the shape of the two functions, and the asymptotes of the reciprocals functions the the x-intercepts of the original functions, for the special one, quadratic function, we have three shapes. Because the quadratic functions can have no x-intercept. 

Week13 in prec 11

This week we learnt the ch8 ABsolute value and Reciprocal Functions.

I think the most important thing in this topic is to find the part we need to “change”, it’s hard, but also easy when you can factor it practically.

In this two examples, one is the linear and the other is parabola. We need to change both of their negative part into positive , the point that change is the x-intercept , after we find the x-intercept ,we can change it. Remember what we change is absolutely symmetry to the origin part.

Week 12 in Prec11

In the week 12, we learnt the chapter 5 graphing inequalities and systems of equation. I think it’s easy to graphing because you just need to graph the equation and the area you need, the hardest point is to find the area you need. I have a easier way to find it instead to find a test point.

First , of course you need the graphing of the function. 

And there are 4 points I graph out , they are all “above” the functions which are not we need to calculate. And what we need is the black areas, when the points are “above” the function , they are greater than the function, the points are “below” the function,they are less than the functions. So now we have the answer, the black area are all “below” the functions, so they are all less than the functions.

prec 11 week 11

When we calculate the inequality, for my experience , if the symbol is greater(linear and going up), the area is on the left; on the contrary , is on the right.

 

if it’s quadratic equation(opens up), if the symbol is greater , the area is inside the function; on the contrary, is  outside the function.

WEEK 10 in prec 11

This Saturday is the Remembrance Day, and this is my first Remembrance Day in Canada , so let’s make a moment of silence for them first.

So next week I think we will have the mid-term exam. In this week we had review all the knowledge we learnt before. 

We had the problems-self-made in this week. = =

 

 

Week 9 in prec 11

Next week we will have a quiz in quadratic function, so this week’s main job is to review the knowledge and build them up.

in the picture told us the importance of the three forms:

Standard form(vertex form), general form and the factored form.

We can get a lot of message from these three forms, we can get the vertex from the standard form, the x-intercept from the factored form, and the y-intercept from the general form. We can also change them into each one to get the more message.

After that, we can lists the messages we get and then to do the problems, just remember the vertex is the most important , but not always, if you can find the intercepts, that’s also work.

And the complete the square! This help us change the three forms into each other.

 

Week 8 in Prec 11

In week 8, we learned the analyzing quadratic functions.

First of all , we should find the vertex out. It’s the most important thing in a quadratic function, and then, we should find out the x-intercept if necessary. It can help us to figure out the rough shape of the quadratic functions.

We have three forms:standard form, general form and factored form.

y=a(x-p)^2+q can tell us the vertex; y=ax^2+by+c can tell us the y-intercept is c; and the y=a(x-x_{1})(x-x_{2}) can tell us the x-intercept if it has.

After we have found three or more points besides the vertex, we can draw it , use smooth curves.

 

 

 

Week 7 in prec 11

This week we finished the topic 3 Quadratic Equations.

we can solve them by graghs,  by factoring.

The first we should take the common different out, and that we factor it .

The most important thing is we should make it equal to zero, in this situation that we can factor it and figure it out .

We can also draw a gragh to see the shape of the equation. That we can figure it out by watching.

Week 6 In prec11

In week 6, we had thanksigiving on Sunday ,just happy thanksgiving !

We learned the topic 3:Solving Quadratic Equations, which I learned four years ago😹😂.In my memory, this topic is quite differcult, so we need put more attention in it ,and for me ,i need to have more vocabulary about it. Just more conversations with the group and the Ms.Burbon😊 I hope I could more and more adaption to Canadian life.