Paola, Marta. Math classes July, 4ESO August 2018. Homework.

27 de julio de 2018 - 19:17 - Paola y Marta Math.

27th July Friday class.

- I remind you that these are the 5 exercises you have to do for the next class on 31st July Tuesday :

I also post the results here for you to check if you get them or not.

( Let me know if you have any problem and write me then, have a nice weekend) .

- Simplify the following algebraic fractions :

Exercise 1 and 2 Exercise 3 Exercise 4

Solution 1 Solution 3 Solution 4

Solution 2

- Rationalize the denominator :

Exercise 5

Solution 5

- If you have extra time you could try to do the following one in order to remember how to expand a product :

Extra 6

Solution 6

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31st July Tuesday class.

Paola, Marta, at the following link you can look up, for the upcoming time, a bunch of exercises, just the kind of level you need, about simplifying, extanding, all kind of equations to solve, roots, logarithms, etc. If you have enough time, simply check this link and try to review some of the exercises starting at the bottom of the page and going to the top. You will find all sort of exercises, whose level is about the one you need to work. They are solved and provided with given solutions and explained step by step. If you have any problem just let me know it, anyway we will be working them out as we go furhter within the next lessons.

LINK

- Homeworks corrections and solutions for the next class on thursday :

Homework solution 1 Homework solution 2

Homework solution 3 Homework solution 4

Homework solution 5 Homework solution 6

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2nd August Thursday class.

Part 1 : Reviewing quadratic functions and parabolas.

Link : Website to draw parabolas.

- The following videos will help you to understand how to transform a quadratic parabola function form in vertex from (video 1) , how to find the vertex of a parabola ( video 2 ) , how to find the equation of a parábola by completing the square ( video 3 ) and how to find the x and y intercept of a quadratic equation ( video 4 ) :

Main video : For a quadratic function find vertex, axis of symmetry, domain

range and intercepts.

Video A : Solve an equation by completing the square.

Video B : Quick way of graphing a quadratic function in vertex form.

Video C : How to find the equation of a parabola from the graph.

Video D : Completing the square to identify the max, min, vertex and axis

of symmetry.

VIDEO 1 VIDEO 2 VIDEO 3 VIDEO 4

VIDEO 6 Find the x and y intercepts of a quadratic equation.

VIDEO 7 How to determine range, domain and graph.

VIDEO 8 Graph axis of symmetry, vertex, max and min, range and

domain.

- To the following link you can find a website with a lot of logarithm equations solved, well explained and with a related YouTube video explained how to work them out step by step :

Logarithm and exponential equations.

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- Exemples done today in class about parabolas domain, range, x-intercepts, axis of symmetry and vertex .

Example 1 page 1 Example 2 page 1 Example3 page1

Example 1 page 2 Example 2 page 2 Example3 page2

Example 1 page 3

1- Here you have, but corrected now, the exercise I did wrong : Correction.

2- Homework to do for the next class on 7th Tuesday :

Homework 1 Homework 2 Homework 3

Homework 4 Homework 5

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7th August Tuesday class.

- For what values of "b" will the following equation have no solution: check and review

- Homework 1

- Homework 2, 3, 4 and 5.

- Homework solutions 1, 2, 3, 4 and 5.

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9th August Thursday class.

- Before checking the homework Im gonna post several videos for you to review main issues about absolute value equations and they related to absolute value inequations and graphing them :

* Video 1 : Absolute value axis of symmetry and vertex, how to graph them.

* Video 2 : Graphing an absolute value equation and vertical stretch.

* Video 3 : Absolute value inequalities solved. (Check when symbol changes).

* Video 4 : Absolute value inequalities solved and graphed. (Check symbol change).

* Video 5 : Absolute value inequalities solved and graphed as we did at the last

class. (Check how symbols are changed here too).

- Homework for the next day. - Homework 1 solved.

- Homework 2 solved.

- Homework 3 solved.

- Homework 4 solved.

- Homework 5 solved.

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