Maths

❤💘💗💖💕💓 Maths💝💞💟💙💚💛💜 

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.The bearing of a point is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass with the point. A bearing is used to represent the direction of one point relative to another point. For example, the bearing of A from B is 065º. The bearing of a point is the line joining the centre of the compass through the point measured in degrees in a clockwise way from the north direction. In navigation, bearings are used to express something about direction. It is also used to express in angle a particular landmark. c.It is written in 3-digit angles. The bearing of a point is the line joining the centre of the compass through the point measured in degrees in a clockwise way from the north direction. In navigation, bearings are used to express something about direction. It is also used to express in angle a particular landmark. c.It is written in 3-digit angles.Bearings are always three figures, and are always measured clockwise from north. Bearings. A bearing is an angle, measured clockwise from the north direction. Below, the bearing of B from A is 025 degrees (note 3 figures are always given).

Facts From Books

Facts From Books

• For over a hundred years cycling has been an exciting way of covering distances at High Speed.
• The New York Yankees have won the world series 27 times. That is the most of any team.
• Early baseball bats come in many shapes and sizes.
• Umpires help to run a baseball game.
• pro baseball games have nine innings. The longest game went for 26 innings.
• A runner must touch all of the bases before scoring.
• There's a lot of string in a baseball.
• Some players made their own bats.
• Some bats were long and skinny others were short some were even flat.
• They call balls and strikes they also decide where their base runners are safe or out.
• If a game is tied it's time for extra innings the longest game went for 26 innings.
• If you miss a base and are tagged with the ball your out.
• If you stretched it out it would be more than 1,000 feet (305 meters) long.

Textiles

In Textiles we have been learning about each other and other stuff such as Paint+Stencil which we have done for the last 2 lessons and we have been continuing our slide called Culturally Me that our teacher Mrs. Laycock shared with us. She is a really nice teacher.

Maths at School

Maths at school.

In Maths we have been learning about Prisms.

Prisms are A solid object with two identical ends and flat sides. The shape of the ends gives the prism a name, such as the Triangular Prism shown here. There are also Square Prisms, Pentagonal Prisms, and more. The cross-section is the same all along its length.

English-Creative Writing

English-Creative Writing 

In English, we have been doing creative writing a couple of weeks before we went into lockdown. This is what we have been doing ever since we came back to school.

Art

In Art, we have been doing kahui birds = drawing them, cutting it out, and printmaking. I have made up a slide for you to look at.

     

Learning Angle Rules For Maths Using GeoGebra

Angle Rules For Maths Using GeoGebra

For the past couple of weeks in maths, we have been learning about angle rules on GeoGebra.

Line segment: A line segment has two endpoints with a definite length.

Ray: A ray has one endpoint and infinitely extends in one direction.

Straight-line: A straight line has neither start nor endpoint and is of infinite length.



Acute angle: The angle that is between 0° and 90° is an acute angle, ∠A in the figure below.

Obtuse angle: The angle that is between 90° and 180° is an obtuse angle, ∠B as shown below.

Right angle: The angle that is 90° is a Right angle, ∠C as shown below.

Straight angle: The angle that is 180° is a straight angle, ∠AOB in the figure below.

Supplementary angles:

In the figure above, ∠AOC + ∠COB = ∠AOB = 180°

If the sum of two angles is 180° then the angles are called supplementary angles.

Two right angles always supplement each other.

The pair of adjacent angles whose sum is a straight angle is called a linear pair.

Complementary angles:

∠COA + ∠AOB = 90°

If the sum of two angles is 90° then the two angles are called complementary angles.

Adjacent angles:

The angles that have a common arm and a common vertex are called adjacent angles.

In the figure above, ∠BOA and ∠AOC are adjacent angles. Their common arm is OA and the common vertex is ‘O’.

Vertically opposite angles:

When two lines intersect, the angles formed opposite to each other at the point of intersection (vertex) are called vertically opposite angles.

In the figure above,

x and y are two intersecting lines.

∠A and ∠C make one pair of vertically opposite angles and

∠B and ∠D make another pair of vertically opposite angles.

Perpendicular lines: When there is a right angle between two lines, the lines are said to be perpendicular to each other.

Here, the lines OA and OB are said to be perpendicular to each other.

Parallel lines:

Here, A and B are two parallel lines, intersected by a line p.

The line p is called a transversal, which intersects two or more lines (not necessarily parallel lines) at distinct points.

As seen in the figure above, when a transversal intersects two lines, 8 angles are formed.

Let us consider the details in a tabular form for easy reference.

Types of Angles	Angles
Interior Angles	∠3, ∠4, ∠5, ∠6
Exterior Angles	∠1, ∠2, ∠7, ∠8
Vertically opposite Angles	(∠1, ∠3), (∠2, ∠4), (∠5, ∠7), (∠6, ∠8)
Corresponding Angles	(∠1, ∠5), (∠2, ∠6), (∠3, ∠7), (∠4, ∠8)
Interior Alternate Angles	(∠3, ∠5), (∠4, ∠6)
Exterior Alternate Angles	(∠1, ∠7), (∠2, ∠8)
Interior Angles on the same side of the transversal	(∠3, ∠6), (∠4, ∠5)

When a transversal intersects two parallel lines,

1. The corresponding angles are equal.
2. The vertically opposite angles are equal.
3. The alternate interior angles are equal.
4. The alternate exterior angles are equal.
5. The pair of interior angles on the same side of the transversal is supplementary.

We can say that the lines are parallel if we can verify at least one of the aforementioned conditions.

Let us take a look at some examples.

Solved examples

Example 1. If the lines m and n are parallel to each other, then determine the angles ∠5 and ∠7.

Solution:

Determining one pair can make it possible to find all the other angles. The following is one of the many ways to solve this question.

∠2 = 125°

∠2 = ∠4 since they are vertically opposite angles.

Therefore, ∠4 = 125°

∠4 is one of the interior angles on the same side of the transversal.

Therefore, ∠4 + ∠5 = 180°

125 + ∠5 = 180 → ∠5 = 180 – 125 = 55°

∠5 = ∠7 since vertically opposite angles.

Therefore, ∠5 = ∠7 = 55°

Note: Sometimes, the parallel property of the lines may not be mentioned in the problem statement and the lines may seem to be parallel to each other; but they maybe not. It is important to determine whether two lines are parallel by verifying the angles and not by looks.

Example 2. If ∠A = 120° and ∠H = 60°. Determine if the lines are parallel.

Solution:

Given ∠A = 120° and ∠H = 60°.

Since adjacent angles are supplementary, ∠A + ∠B = 180°

120 + ∠B = 180 → ∠B = 60°.

It is given that ∠H = 60°. We can see that ∠B and ∠H are exterior alternate angles.

When exterior alternate angles are equal, the lines are parallel.

Hence the lines p and q are parallel.

We can verify this using other angles.

If ∠H = 60°, ∠E = 120° since those two are on a straight line, they are supplementary.

Now, ∠A = ∠E = 120°. ∠A and ∠E are corresponding angles.

When corresponding angles are equal, the lines are parallel.

Likewise, we can prove using other angles too.

Example 3. If p and q are two lines parallel to each other and ∠E = 50°, find all the angles in the figure below.

Solution:

It is given ∠E = 50°.

The two lines are parallel

→ The corresponding angles are equal.

Since ∠E and ∠A are corresponding angles, ∠A = 50°.

→ The vertically opposite angles are equal.

Since ∠A and ∠C are vertically opposite to each other, ∠C = 50°.

Since ∠E and ∠G are vertically opposite to each other, ∠G = 50°.

→ The interior angles on the same side of the transversal are supplementary.

∠E + ∠D = 180° → 50 + ∠D = 180° → ∠D = 130°

→ ∠D and ∠B are vertically opposite angles. So ∠B = 130°.

→ ∠B and ∠F are corresponding angles. So ∠F = 130°.

→ ∠F and ∠H are vertically opposite angles. So ∠H = 130°.

∠D = ∠O + 90° → 130 = ∠O + 90 → ∠O = 40°

Also here is stuff I have been doing on a slide and by the way, it is GeoGebra stuff.

Acid Rain Experiment

Acid Rain Experiment

What Is Acid Rain? 

Rainfall made so acidic by atmospheric pollution that it causes environmental harm, chiefly to forests and lakes. The main cause is the industrial burning of coal and other fossil fuels, the waste gases from which contain sulfur and nitrogen oxides which combine with atmospheric water to form acids. 

How Does Acid Rain Form?

Acid rain is caused by a chemical reaction that begins when compounds like sulfur dioxide and nitrogen oxides are released into the air. These substances can rise very high into the atmosphere, where they mix and react with water, oxygen, and other chemicals to form more acidic pollutants, known as acid rain.

What are 3 effects of Acid Rain?

The ecological effects of acid rain are most clearly seen in aquatic environments, such as streams, lakes, and marshes where it can be harmful to fish and other wildlife. As it flows through the soil, acidic rainwater can leach aluminum from soil clay particles and then flow into streams and lakes.

Why Does Acid Rain Matter?

Sources of Acid Rain

Acid rain is caused by a chemical reaction that begins when compounds like sulfur dioxide and nitrogen oxides are released into the air. These substances can rise very high into the atmosphere, where they mix and react with water, oxygen, and other chemicals to form more acidic pollutants, known as acid rain. Sulfur dioxide and nitrogen oxides dissolve very easily in water and can be carried very far by the wind. As a result, the two compounds can travel long distances where they become part of the rain, sleet, snow, and fog that we experience on certain days.

Human activities are the main cause of acid rain. Over the past few decades, humans have released so many different chemicals into the air that they have changed the mix of gases in the atmosphere. Power plants release the majority of sulfur dioxide and much of the nitrogen oxides when they burn fossil fuels, such as coal, to produce electricity. In addition, the exhaust from cars, trucks, and buses releases nitrogen oxides and sulfur dioxide into the air. These pollutants cause acid rain.

Acid Rain is Caused by Reactions in the Environment

Nature depends on balance, and although some rain is naturally acidic, with a pH level of around 5.0, human activities have made it worse. Normal precipitation—such as rain, sleet, or snow—reacts with alkaline chemicals or non-acidic materials, that can be found in air, soils, bedrock, lakes, and streams. These reactions usually neutralize natural acids. However, if precipitation becomes too acidic, these materials may not be able to neutralize all of the acids. Over time, these neutralizing materials can be washed away by acid rain. Damage to crops, trees, lakes, rivers, and animals can result.

Method

Calcium Carbonate

Apple Piece

Leaf

Universal Indicator

Blue Litmus Paper

Weigh Boat

Set up Petri-dish

Add a few drops of water to these

Add 1 spatular of sodium sulfide to weigh boat 

Take  Photo

Add 5 drops of sulfuric acid and quickly put the lid on.

Watch and take photos 

  
The Blue Litmus Paper has now turned red 
The Universal Indicator was Blue now has turned Pink
The Bromthymol Blue was blue now has turned Green

Bromthymol Blue: Blue-Yellow
Universal Indicator: Green-Red
Blue Litmus Paper: Blue-Red
Leaf:
Apple Piece:
Calcium Carbonate:

Science Experiment

Science Experiment

Today in science we are doing a Science Experiment called Neutralisation.

Universal Indicator-Shows if it is an Acid or a Base

-Changing colors

Blue Green Red = pH Scale

Universal Indicator = Solution: The main components of a universal indicator, in the form of a solution, is thymol blue, methyl red, bromothymol blue, and phenolphthalein. This mixture is important because each component loses or gains protons depending upon the acidity or alkalinity of the solution being tested. 

pH Scale = pH is a measure of hydrogen ion concentration, a measure of the acidity or alkalinity of a solution. The pH scale usually ranges from 0 to 14. Aqueous solutions at 25°C with a pH of less than 7 are acidic, while those with a pH greater than 7 are basic or alkaline.

Hydrochloric Acid =  Hydrochloric acid or muriatic acid is a colorless inorganic chemical system with the formula HCl. Hydrochloric acid has a distinctively pungent smell. It is classified as strongly acidic and can attack the skin over a wide composition range since the hydrogen chloride completely dissociates in an aqueous solution.

Sodium Hydroxide =  Sodium hydroxide is used to manufacture soaps, rayon, paper, explosives, dyestuffs, and petroleum products. It is also used in processing cotton fabric, laundering and bleaching, metal cleaning and processing, oxide coating, electroplating, and electrolytic extracting.

Neutralization

A chemical reaction occurs when you mix together an acid and a base. The base cancels out the effects of the acid. The reaction is called a neutralization reaction because a neutral solution is made if you just the right amount of acid and a base together. 

1. Add 2mL of Na0h into a test tube.
2. 2 drops of Universal Indicatior. 
3. Add drops of HCI until you reach a neutral pH.

Turkey Refugees

Turkey Refugees/Assessment

In Social Studies we have been doing stuff about refugees and before lockdown, we have been doing stuff about Child Slaves and stuff about the Atlantic slave trade. I found research is interesting and it is what I like, and this is what I have done for my Refugees Assessment.

  

Maths

Maths

In Maths we have been learning about Angles and we have been using this maths app called Geogebra and we make angles on it.

English

English

In English, with Miss Allen and Mrs. Mclaren we have been learning how to write a proper creative writing sentence.

The sentence styles are Power Sentence, Very Short Sentence, Simple Sentence, Red 

White and Blue Sentence.

This is what I have written

There once was an old man that lived in this old house on the lake he had amazing views to look at from the lounge. The view was cool he got to look at the Hills, Colour of the lake, and the stones in the lake. He woke up one morning and looked at the mountains and it was foggy. When he goes out for a climb on the mountains or a swim in the lake he would always leave his front door left wide open because he had no neighbors but his family would come and visit him once a week. It was a nice day to go for a swim. He loves swimming. When he went swimming he would collect some crystals and some cocalls. Cockles are a type of food to eat. He would go swimming for about 5 hours and whenever he found something he would go inside and put it on display in his house to show his family what he collected every time his family would come over and see him he would always go swimming and they would also go swimming or go and climb the mountain. Some times the mountain would be fogie or it would be cold but they would always wrap up warm but you would never know this but because he is an old man he would never get cold but he would always get hot and the others would look at him weirdly. The others in the family were always cold when they went climbing but when they went swimming it was always warm and hot the lake would never get cold. One night it was about 7 at night and the family stayed over for the night and the family had to light the fire because it was cold but he was not even cold.


Also, we have been doing stuff called submissions.
So here are my Submissions I have been doing in English

Submission 1

Oh what is Joy

To have a friend like you

Forgiving me strength

The way you do 

For lifting me up

When I’m feeling down 

And putting a smile on my face 

When I’m wearing a frown

Thanks for being there 

And helping me grow

Your friendship means a lot 

This I’d like you to know 

Submission 2

How much wood would a

Woodchuck Chuck

If a woodchuck could

Chuck wood?

He would chuck, he 

Would, as much as he 

Could,

And chuck as much wood 

As a woodchuck would 

If a woodchuck could 

Chuck wood,

Submission 3

Sometimes being silent is better than telling 

Other how you feel. Knowing that you are

being heard but not understood could be 

More painful then expressing your feelings