Maths Blog
MATH IS REAL LIFE:
My measuring experiences
My measuring experiences
Summary explanation about the changes that you made to your GII and why you made them. Beginning of the unit – NU GII screenshot After the unit – NU GII screenshot At the beginning of the unit, I believe that I need more guidance on the following topics on angles, inequality involving an unknown number, algebraic rule, and order of operations. Along the way, as I have learned these topics, I was able to find out that I can now do it independently, and can lead others as well. Read back through you NU blog posts. What do you now know about yourself as a mathematician that you didn’t know at the beginning of the unit? At the beginning of the unit, I used to think that I cannot make inferences. But now, through this NU unit, I have learned to infer and predict things. Which mathematical behavior(s) have you developed most throughout this NU unit? Throughout this NU unit, I was able to develop my mathematical behavior by noticing math vocabularies, searching for patterns, predicting and checking, thinking logically, recording ideas, estimating, comparing, and making connections. Which thinking skill(s) has been most helpful to you during this NU unit and why? Acquisition of knowledge, comprehension, application, and analysis are the thinking skills that helped me during this NU unit because I was able to appreciate Math more. Learning and understanding Algebra language is the same as learning a foreign language. Through these mathematical symbols, it can help me represent an idea of the unknown, apply, analyze and solve problems that I may face in everyday situations. Which attitude has been most useful to you during this NU unit and why? Commitment is the attitude that has been most useful to me during this NU unit because it is not only in math problems that I can experience challenges but also in real life. I have to be committed to learning new things and the ways of doing it to support and lead me in my decisions. Moving forward into the next unit which math behavior/skill/attitude will you focus on developing and why? I will focus on being enthusiastic about the new ideas that I will not only learn inside the classroom but also outside the classroom. To keep on having a positive attitude about the things that can be challenging to me or the things that are happening around me is the attitude I will have to focus on which will guide me in the future. #Maths #Thinker #Success
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What is “order of operations?” Why is it necessary? What happens if it is not followed? The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division. This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers. The Order of Operations is shown below. Credits: A Maths Dictionary for Kids A video about the order of operations. Credits: Math Antics Below are sample equations using the order of operations. One thing I learned this week is the attitude of cooperation. Without a standard rule, a problem can be interpreted many different ways and will not arrive at the same result from a given statement. I have to agree that rules are created and are meant to be followed so there will be consistency and without confusion. #Maths #Order of Operations #Evidence of Algebraic thinking #Mastery What is an inequality? Inequality tells us about the relative size of two values. Mathematics is not always about "equals", sometimes we only know that something is greater or less than. This symbol represents inequality ≠. Credits: Math is Fun Credits: Khan Academy My examples solving inequalities:
If x < y , then x + z < y + z Example : Tom has three dollars and Bill has six dollars. They both earned five dollars for mowing the lawn. Tom still has less money than Bill. $3 < $6 then $3 + $5 < $6 + $5 then $8 < $11 If x > y , then x + z > y + z Example : Jim has ten dollars and Sam has seven dollars. They both earned twenty dollars shoveling snow. Jim still has more money than Sam. $10 > $7 then $10 + $20 > $7 + $20 then $30 > $27 One thing I learned in solving inequalities is that to translate English words into Algebra Language. It uses symbols to make statements about things. Here, we often use letters to represent numbers and solve the unknown. #Maths #Thinker #Mastery What is an Equation? An equation says that two things are equal. It will have an equals sign "=" like this: x − 2 = 4 That equations says: what is on the left (x − 2) is equal to what is on the right (4) So an equation is like a statement "this equals that" What is a Solution? A Solution is a value we can put in place of a variable (such as x) that makes the equation true. Example: x − 2 = 4 When we put 6 in place of x we get: 6 − 2 = 4 which is true So x = 6 is a solution. How about other values for x ?
Credits: Math is Fun The videos below are examples on how to solve an algebraic equation: Credits: Math Antics Credits: Math Antics Credits: Math Antics What do we need to know to solve an algebraic equation? Credits: A Maths Dictionary for Kids #Maths #Enthusiasm #Success
How am I feeling about this unit? This unit makes me feel anxious because I would be dealing with vocabularies related to Math especially Algebra. Variable, term, expression and algebraic rules were some of the words that are confusing to me. Beforehand, I thought these words meant to confuse me more. But as I go over the terms one by one, I felt the need to be more curious that these unknown numbers can be represented by letters. It can also help me solve unknown numbers through understanding by following the order of operations and its rules. Now that I am studying this unit, it will help me develop my abstract reasoning skills, patterns, problem-solving that are necessary to succeed in Math and Science. This unit also reminds me that it can help answer questions about finding the unknown or putting real life variables into equations, and solving them that are connected to real life situations. Below is a screenshot of my GII. #Maths #Commitment #Motivation How do we know something is a pattern? A pattern is repeated design or recurring sequence. It is an ordered set of numbers, shapes or other mathematical objects, arranged according to a rule. Here are the examples: Credits: A Maths Dictionary for Kids Below are other examples: In solving this Sudoku, I had to fill in the 3x3 blocks with numbers 1-9 making sure that no digit is repeated horizontally and vertically. I had to check horizontally and vertically if each square is filled in with the right digit. What is an algebraic rule? An algebraic rule is a method for describing the relationship between two variables. The main purpose of algebraic rules is to make sense of sets of data involving two or more variables. For example: X – 2 = 4 The letter (in this case an x) just means "we don't know this yet", and is often called the unknown or the variable. And when we solve it we write: X – 2 = 4 +2 = 4 + 2 X = 6 So, why did we add 2 to both sides? To keep the balance. Just remember this: To keep the balance, what we do to one side of the "=" we should also do to the other side! How do you find algebraic rules for a pattern? To find a missing number in a Sequence, first we must have a Rule A Sequence is a set of things (usually numbers) that are in order. Each number in the sequence is called a term (or sometimes "element" or "member"). Credits: Math is Fun Using this mathematical patterns and algebraic rules helped me to identify unknown numbers and the skill that I have learned is that, in everything that I do is to keep on going until I get it.
#Maths #Algebraic Rules #Pattern #Mastery #Commitment What is perimeter and what units do we use to measure it? Perimeter is the distance around the outside of a shape. Here, we will measure length by using metric units (centimeters, meters). What is area and what units do we use to measure it? Area is the size a surface takes up measured in square units. It can be determined using a grid or a formula. (Credits: A Maths Dictionary for Kids) The video below explains on how to get the perimeter and area of a regular shape (a rectangle and a square). Credits: Khan Academy What are interior angles and how do we measure them? How do mathematicians figure out interior angles of a triangle? A triangle is a polygon with three sides and three angles. The total of the angles in any triangle is 180 degrees. These are the types of triangles and its interior angles: 1. Acute triangles - An acute triangle has three angles; each angle measures less than 90 degrees. 2. Right Triangle - A right triangle has one right angle of 90 degrees. 3. Obtuse Triangle - An obtuse triangle has one angle that measures over 90 degrees. 4. Equilateral triangle: a triangle that has three equal sides and three equal angles. 5. Isosceles triangle: a triangle that has two equal sides and two equal angles. 6. Scalene triangle: a triangle that has no equal sides and no equal angles. The photos above are the types of triangles and how I learned about them. I also learned that triangles can be classified by measuring their angles and by measuring their sides. Here is a video about the types of triangles that supported my learning. (Credits: Don'tMemorise.com)
What is TEMPERATURE? Temperature is how hot or cold a place or an object is. When we say, "It is freezing in here!", we are actually referring to the very cold temperature of the room/area. Knowing the temperature of a thing or place is important. The basic units for measuring temperature are the following: Celsius (°C) or Centigrade and Fahrenheit (°F) . These two are the common units, but for scientists, they use Kelvin (K). Celsius is equivalent to 32 degrees Fahrenheit. What are the TOOLS AND MEASUREMENT OF TEMPERATURE? We can use a thermometer to get the temperature. With this tool, we can measure our body temperature. It will tell us if our body is within or beyond the normal body temperature which is 36 °C. If it is too high, that means we have a fever or something is wrong with our body. Here is a photo of my body temperature which is 36 °C.
#Maths #Learner Profile #temperature
Here is an example of a cup of liquid that is equivalent to 200 milliliter. Does weight and mass help us? When I was learning how to measure weight and mass, at first, I use a weighing scale. This tool if used properly we will have an accurate measurement. An example is when baking cookies, first is to measure the required amount of ingredients. If this is done precisely, the taste will come out delicious. But if not done properly, the baked goods will definitely not taste good. Below is a YouTube video about the importance of measurements and how it helped me understand it well. #Maths#LearnerProfile#Measurement Now, here is my video of conversion of units in YouTube. |
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