Algebra Answers

Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life.

Choose one of these sectors and give an example of a polynomial or rational function modeling a situation in that sector. [Hint: see the examples and exercises in the book.]

Go to www.desmos.com/calculator, write your equation, or function, and develop your explanation using the properties of graphs.

Your Discussion should be a minimum of 250 words in length and not more than 750 words.

Reflect on the concept of polynomial and rational functions. What concepts (only the names) did you need to accommodate these concepts in your mind? What are the simplest polynomial and rational function you can imagine? In your day to day, is there any occurring fact that can be interpreted as polynomial and rational functions? What strategy are you using to get the graph of polynomial and rational functions?

The Learning Journal entry should be a minimum of 400 words and not more than 750 words.

If F(x)=√3x+2 find (a) f(a+h) -f(a) over h
(b) if F:x mapping x^2 over 1+x^2 find f(x2)- f(x1)

1. use 3 different techniques of calculating 488 x 16

2. There 20 sweets in the packet . William and his friends ate 2/5 of the sweets . How many sweets are left
3. Heidi divided a certain number by 16 . She found an answer of 246 with a remainder of 4 .. what is this number?

1.1 set up one example question ( also provide solutions)which falls under the following:
1.1.1. Level 1 : mathematical knowledge
1.1.2. Level 2 : routine procedures ( in a real life context)
1.1.3 level 3 : complex procedures ( in a real life context)
1.1.4 . Level 4 : problem solving (in a real life context)
1.2 a photo of an elephant is 120 mm x 90 mm. It is enlarged to 360 mm x 270
mm . The elephant's tail in the smaller photo is 15 mm long. How long is its tail in the larger photo?
1.3 jabu has a few marbles. Jabu has 21 marbles now. How many did he have before he started playing? Solve this problem using a suitable model.
1.4 discuss the steps that you can deploy in constructing number problems.
1.5. complete the following multiplication and division calculation involving fractions:
(1.5.1). 5/6 ÷ 1/12
(1.5.2). 5/8 x 1/2
(1.5.3).2=1/2 × 1=3/4
(1.5.4). 4= 2/5 ÷ 3

Describe,using examples,how can a teacher use number lines and grids to represent number patterns?

Discuss the steps that you can deploy in constructing number problems.

Calculate the following and show all the calculations.
5\6 ÷ 1\12=?

5\8 × 1\2=?

2 1\3 × 1 3\4=?

2\5 ÷ 3=?

Do the addition or subtraction scale and illustrate the calculation with a simple model in picture or diagram form.
5\6 + 1\12=?

5\8 - 1\2=?

2 1\3 + 1 3\4=?

1 2\5 - 2\3=?

Discuss the steps that you can deploy in constructing number problems.