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ANGLES  
COORDINATE SYSTEM 

Explain how the components of a coordinate system are used to determine location.  Student reviews how coordinate works to find the location of an object.  

 

AXIS X AND Y

 

Understanding the axis and how to make axis independently helps students to really understand when they need to determine the location.

I challange them by putting some objects on the big mat in the classroom. I asked them to tell me where it is.  Can they locate them clearly?  and i ask some triggering questions to lead them into way to find the best way name or determine the place.  Finally, one student come up with the idea, that under the carpet there are square tiles that can be used to locate them clearly.

Giving tyhem more information about coordinate system is helpful, since they ahve learned this concept in the previous garde.

 

 

 

 

 

 

 

 

 

 

 

http://www.oswego.org/ocsd-web/games/BillyBug2/bug2.html 

WHAT HAPPENS IN PYP 4?

 

To start this lesson, I like to use their prior-knowledge about this concept, so I know where i can start, and who needs some review.  Begin with the understanding about direction is more important to get further into angles and rotation.

 

Introducing them into the concept of direction, rotation and angles is by telling them my story that last night i 've got a phone call from my friend who lost in a forest.  I ask them to help me find the spolution to get out from a place if there's nothing can help.

What next with the axis?

 

In grade 4 the students extend the concept of using coordinate to find object to how symmetrical lines are used to find the reflection.  Related with the unit, students identify letter and different font that reflected by using symmetrical line on the square grids.

Math in How We Express Ourselves unit 

 

Related with the unit of How We Express Ourselves, Math lesson is learning about creating shapes or type face on their advertisement.  In this unit, students focus on making shapes with symmetrical lines or reflection and rotational symmetry.  Angles will support their skills to create pictures or images on their advertisement as their final task,

 

 

Often when they are investigating geometry, students are shown angles of different sizes and given various tools to draw them and measure them without really developing an understanding of what angles are.

 

Understanding what each individual angle represents can help students apply reasoning skills when classifying and comparing angles.

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An angle is actually a section taken out of a circle

Then students come up with the idea to see where the sun rise up from, so we can notice that is is East.  From this prior-knowlegde, I can go further into next lessons.

 

Showing them a map

Bring them to the giant  wind direction to review their understanding about wind direction

Act out as a wind direction

Worksheets

What might support the learning?

Provoking students by asking them to rotate,  and have a quick game to rotate based on the instruction given by me.  Example: turn to West, turn right and then turn left twice.  

 

By having this provocation, I lead them to understand some related terms, such as:

  • the position, the clockwise and anti clockwise direction, and how to measure the accurate number a quarter, halfway directions, three-quarter.

  • then come up with the precised amount of degree--> this might be a pre assessment for their prior-knowledge.   Some of them have familiar with 90 degrees, 180 degrees, 270 degrees and 360 degrees and how they look like.

  • Finally students know the similar terms such as:: 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 90 degrees = 1 right angle

 

180 degrees = 2 right angles

 

270 degrees = 3 right angles

 

360 degrees  = complete angle

ACUTE ANGLE

 

RIGHT ANGLE

 

OBTUSE ANGLE

 

REFLECT ANGLE

 

COMPLETE ANGLE

Show them power point about Angle's Family help students to memorize and recognize different type of angles' name.

 

 

Students continue their learning about coordinate by solving treasure hunts problems.  they have to identify the instruction (coordinate given), and locate an object on the grid.  

 

They works in partner to practice solving the problems, and even to make their own treasure hunt problem.  IT is fun activity when I make up a problem where they have to find what might be seen on the square grid after they solve the problem.

 

This activity is also varied, when I give them tasks digitally.  They need to practice their skills to use computer to draw lines, and drop pictures on certain place.

 

 

 

 

 

What happens in the real life?

 

Student are encouraged to explore what might they see in their surroundings that applies this concept.  They walk around and see to find out the answer.  Then the learning is becoming more interactive.  

 

What might rotate? Door, earth, steer wheel, wind mill, your body, such as head, knees, arms, propeler, bottle flip ect.

 

 

 

 

How to use a Protractor?

 

Show a power point and practice together using protractor through smartboard.  

I'm a paragraph. Click here to add your own text and edit me. I’m a great place for you to tell a story and let your users know a little more about you.

SYMMETRY

 

Students are aided in developing a foundation in spatial reasoning, problem solving and visualization by leaerning this concept.  They learn about symmetrical lines/refelctive and rotation symmetry.  To understand this lesson, they might have prior-knowledge when they alearned in the orevious grade.  

 

Students had  have a background understanding of basic reflective (line) symmetry and should  be able to identify horizontal and vertical lines of symmetry in shapes and patterns.

 

 

What might happen in the classroom?

 

 

 

 

VOCABULARY

geometry, symmetry, reflective symmetry, rotational symmetry, reflection, rotation, mirroring, line of symmetry, grid, coordinate, square, counter, quadrant, orientation, clockwise, degrees

Students are encourage to explore the paper that I have given.  Each group has different types of paper, and they might do and find the facts from their exploration.  They might not use any tools, so I hope thet they can fold the paper and find symetrical lines on it. I also can asses their prior-knowledge about this concept.

 

Then we have a small discussion about their findings, until they come up with the idea of symmetry or symmetrical shapes/pictures/objects. They have a common understanding about concept of symmetry and take a note on their book.  They might completed with some pictures that are symmetry that they found in the classrooom.

 

Students brainstorm the facts about picures that have been shown to them from the power point. What is some interesting things form those pictures?  

PROVOCATION:

Symmetry is the quality of being made up of exactly similar parts facing each other or around an axis.

 

Supported LEARNING ENVIRONMENT:

 

I tried to put some pictures and related words, displayed in my class.  SO that students can see and be more inquirer to learn more from the pictures or words that they might  haven't known yet.

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