Probability chapter 15

At first I learnt about the terminology about probability, the language of probability, event, simple event, sample space, complimentary event, compound event and many more.

Chapter Contents

15:01 The Language of Probability

15:02 The probability of simple events

15:03 Complementary Events

15:04 Using Probability

Probability is the study of chance of an event happening. It is a value from 0 to 1.

Formula: probability of an event:

Event is something that happens or not happen. Simple event is only one outcome. Combined event or compound event is two or more events occurring together of one after the other. 

 Experiment is an activity with an  observable result. The result of an experiment is called outcome. Outcome has only one possibility. Sample space is the number of simple space. Complimentary event is the opposite of event. P(E’) + P(E) = 1       

Event is the opposite of complimentary event. The probability result could be in percentage, decimal or fraction (fraction should be in simplest form).         

In this unit I learnt how to make a cuboctahedron dice. I also did an experiment to prove the statement of theoretical and the actual one using tossing coin. I also play game some fun games like snake and ladder. To prove the probability of getting snake or ladder and many more. We also has done a lot of classwork about probability in chapter 15

For our last task we are given task to create a game. For my group me and Audrey, we make a game called board life that is inspired by a board game called "The Game of Life". This game is about the journey of our life like getting a house, finding a partner (soulmate), getting family, getting a job and many more. To win this game you need to get the most money and at the end of the game we need to choose one place neither a mansion or the country side.This game is very suitable for family. 

Area and Volume chapter 11

Area and volume

Chapter 11



For chapter 11 I learn about area and volume about prism and 3D . There are triangular prism, rectangular prism, parallelogram, and more. We made the sample of prism using origami paper. Then we did some classwork from 11:01, 11:04-11:05. We also make a written report about the value of Pi.

Area is the size of a surface. This are the formula of each shape:

Volume is the amount 3 dimensional space of an object occupies. For this example the volume is 4×5×10 = 200 units^3.   

A prism is a solid object with identical ends, has flat sides and the same cross section all along it's length. 
These are the example of prism and their cross section:

Triangular prism is a prism with the cross section of a triangle. The characteristic of triangular prism are the cross section of this object is a triangle and it has the same cross section all along its length. 


Rectangular prism or cuboid is a 3 dimensional object which has six faces. It has the same cross-section along a length, which makes it a prism. Example: boxes like our shoe box

A Parallelogram is a flat shape with opposite sides parallel and equal in length. The characteristic of parallelogram are has two pair of opposite sides. One side has another side that has the same measurement of length. 























Then we made a chart to measure the circumference, the diameter, radius, and the relationship between circumference and diameter. We measure 5 objects that are circular.

circle chapter 12-13

Circle

    For this unit, we learnt about circle. We learn about the introduction and all about circle. We had a activity to find the value of pi (3.14). We use 5 circular object and measure it with string and record it in a piece of A3 paper. We also need to make the report of that activity. We also made a written report about proving the area of circle, by using 3 method of circle.We have done a lot of classwork at chapter 12 until 13.  We also done an activity about art with compass, in this activity it make our skill in compass more better. 

Chapter Contents

12:01 Parts of a Circle

12:02 Circumference of a Circle

12:03 Solving problems involving circumference

12:04 Area of a Circle

13:01 Geometrical Constructions

13:02 Congruence and Transformation

13:03 Congruent Figures

13:04 Constructing Congruent Figures

Circle is a line forming a closed loop, every point on which is a fixed distance from a center point. All point has the same distance from the center point. 

Radius is the distance from the center to the edge 
Diameter  starts at one side of the circle, goes through the center and ends on the other side.
The circumference is the distance around the edge of the circle. 

Statistic unit 5 (chp 9 and 14)

             In statistic chapter 14, I learnt about mean, median, range, mode, dot plot, scatter, stem-and-leaf plot, organizing data, collecting data, interpreting data, bar graph, pie chart, line graph,pictograph and many more. First, we make a presentation about the terminology of statistic. Then, we interviewed our surrounding and then we make a report for collecting data. Using the result that we have interviewed we organize our result using bar graph, pie chart and pictograph. Then we interpret the data using mean, median and mode.

Chapter Contents

14:01 Collecting Data

14:02 Sorting Data

14:03 Analyzing Data

14:04 Grouped Data

14:05 Dot Plot and Scatter Diagram

14:06 Stem and Leaf Plots

           

             We also make a time table about our daily schedule in a week. We have done 2 classwork from 14:03, 14:05 and 14:06. Then we interviewed or search minimum 40 couple about their wedding anniversaries dates and months. Then we should make a written report and interpret the data using stem-and-leaf plot, dot plot and scatter.

Mean is the average of the numbers: a calculated "central" value of a set of numbers. 

To calculate: Just add up all the numbers, then divide by how many numbers there are.

Example: what is the mean of 2, 7 and 9?
Add the numbers: 2 + 7 + 9 = 18
Divide by how many numbers (i.e. we added 3 numbers): 18 ÷ 3 = 6
So the Mean is 6

Median is the middle number (in a sorted list of numbers). We can find median by placing or sorting the number you were been given in value order then you find the middle number.

Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. 
Put them in order: {10, 11, 13, 15, 16, 23, 26}
The middle number is 15, so the median is 15.

Range is the difference between the lowest and highest values. 

geometry chapter 8-10

Geometry

For the geometry we learn about angle, types of angle, line, point, ray, and  more.

Then we also do the reading mathematics for the chapter 10.

Chapter Contents

8:01 Reading Maps

8:02 Coordinates and Number Planes

8:03 Introducing straight line graphs

8:04 Graphing Straight Lines

8:05 Lines Parallel to the axes

8:06 Further Graphing

10:01 Adjacent Angles

10:02 Angles at a Point and Vertically Opposite Angles

10:03 Angles associated with parallel lines

10:04 Angle sum of triangle

10:05 Angle sum of quadrilateral

10:06 Isosceles and Equilateral Triangles

10:07 More involved numerical problems

11:01 Review of area from last year

11:02 Areas of special quadrilaterals

11:03 Formula for areas of special quadrilaterals

11:04 Volumes of prisms

11:05 Surface Area of prisms

An angle measures the amount of turn. the types of angles are acute angle, obtuse angle, right angle, straight angle, and reflex angle.

Acute angle is an angle that is less than 90°
Obtuse angle is an angle that is more than 90°
Right angle is an angle that has an measurement of 90°
Straight angle is an angle that is precisely 180°
Reflex angle is an angle that is greater than 180°

Line is a long thin mark made by a pen, pencil, etc. The characteristic of a line is straight, has no thickness, extends in both directions without end.

Point is an exact location that has no size but only position. Points usually has a name, Often named by a letter like "A" or "B" etc.

Ray is a  line with a start point but no end point.

We also make a drawing using coordinates in 8:02 fun spot
the result will be a Spartacus face.

Algebra unit 2 chapter 6-7

Algebra

We start our first lesson about algebra at 14/10/14 in chapter 6 and 7. Algebra is the use of pronumerals or letter to represent number in solving problems. We also learn about algebra expression, variable, coefficient, constant and more.

Chapter Contents

6:01 Patterns and Rules review
6:02 Addition and Subtraction of like terms
6:03 Multiplication of pronumerals
6:04 Division of pronumerals
6:05 Multiplication and division of pronumerals
6:06 Using Algebra
6:07 Index notation
6:08 Grouping symbols
6:09 Factorising
6:10 Algebraic Fraction

7.01 Inverse Operation

7.02 Solving Equations 

7.03 Equations with pro numerals in both sides

7.04 Equations and Grouping Symbols

7.05 Formulae

7.06 Solving Problems using equations

7.07 Graphing inequation 

7.08 Solving Inequations

Then in 6:09 we learn about factorizing for classwork 6

Example: 2y + 6: 2 x y + 2 x 3 => 2 (y + 3)

We also learn about equation

# Solving equation is like balancing scales

# With equations we know that one side is equal to the other

Example: a + 7 : 10

                 a + -7 : 10 – 7

                 a + 0 : 3 => a : 3

After that we learn about inequation

# inequations have more than one solution

# an iquation is an open mathematical sentence where the ‘equal’ sign has been replaced by an inequallity sign.

# when solving inequation, we use the same rules as for equation. But when multiplying or divide an equation by a negative number, the inequality si muxt be reverse.

Example: x > 4

   

                x < 4-2 =) x< -8

Then we have been given a task to make a report about mathematics challenge in chapter 6:10. It's about expanding pronumerals product. 

Observation

number unit 1 chapter 2-4

Number

                 

                 For the first time I have been teach by Ms. Nuri, I learn about numbers. I learn how to solve numbers by percentage, fraction, ratio, decimal, and more. I also learn what is the function of number in our daily life. Each of us has been given an assignment, each of us should make a comic about the topic that we have been chosen. In the comic we should make a story of the function of the topic that we have chosen in our daily life. For my comic I have chosen 1;10 ( Direct Number). the story is about a girl has a dept that is bigger than her money and she need to find a way. Her dept is the negative and her money or saving is the positive. She need to use all her saving to pay the dept, then she need to find the rest of the money she need to pay.

Chapter Content:

2:01 Working Mathematically

2:02 Problem Solving Strategies

2:03 Problem Solving Strategies using Venn Diagrams

"Percent" is like 1 per 100. A percent also can be change into a fraction or decimal. The symbol of percentage is %

Fraction is a part of a whole. For the top number, we call it numerator. Also there is a name for the bottom number called denominator. The denominator number is the number of parts the whole is divided into. Example: Panda bought a pizza for his party. He also invited 5 of his friends. Then he cut the pizza into 10 parts or slice. He wanted to give his friends pizza. How many slice or piece of pizza did his friends got?

Total of friends: 5
Total of pizza slice or piece: 10

Fraction: 

After making the comic  we make a Reading Mathematics about how to solve fraction, decimal and percentage. In this Reading Mathematics, we also need to explain how to solve it and why we use that way to solve the answer.

For the explanation  fraction to a decimal: first we need to know the fraction or the numerator and the denominator or n/d then we need to divide the the numerator with the denominator(n÷d) in case you want to round off the decimal, you need to see the last digit. If the last digit

is 5 or more you need to round it up. But if the last digit is less than 5 then you need to round it down.

Example : 5/3 : 5÷3: 1.666 = 1.667

                                            

            In the note book we learn about percentage. In the percentage we learn how to convert percentage into number or decimal.

-          Finding a percentage of a quantity: to find a percentage of a quantity, write the percenate as a decimal (or fraction) then multiply by the quantity.

Example: 2/100 x 8000: 160