Central Idea
"There are connections between shapes and symmetry in the world around us."
2D Shape |
Transformation and Symmetry |
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An inquiry into...
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An inquiry into...
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Location
An inquiry into...
- The language we use to describe location (FORM)
- How we give directions, describe location and position (FUNCTION)
Tuning In
Sorting 2D Shapes - There are many different ways to sort shapes. If you were given the shapes below, how would you sort them? What are the attributes that you would focus on in order to sort them? What tools could you use to help you sort them? Try to sort them in different ways and see if others can guess how you have sorted them
Mindmap - Create a mind map / table to sort these shapes based on what you think they have in common. Do some shapes fall under multiple categories? On the Mindmap, try to label and name the shapes based on their attributes.
Mindmap - Create a mind map / table to sort these shapes based on what you think they have in common. Do some shapes fall under multiple categories? On the Mindmap, try to label and name the shapes based on their attributes.
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Finding Out
BrainPop Jr. - There are many different places where we can find out about Shapes. One of the places we go to often is BrainPop Jr. When it comes to shape, there are some videos that can show us the basics and there are also some videos that can show you how shapes can be transformed. Click on the pictures below to watch the videos. Do not forget to use your research sheet and your best visual note-taking to record your thoughts.
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Math is Fun - Another great website that we can use for many different things. Math is Fun has some great information on probability. Click on the link here to find out more about shapes and transformations.
Concrete
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Pattern Blocks
- can be used to help categorize and name various shapes - useful for patterning, measuring, tangrams, etc. |
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Attribute Blocks
- different from pattern blocks as there are specific shapes and sizes - useful for finding out about how shapes can change and looking at the features of shapes |
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Tangrams
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Sorting Circles
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MIRA Mirror
- for use when discussing lines of symmetry - excellent for helping see mirror images and getting a better sense of shape and space |
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GeoBoards
- helpful tool for creating geometric shapes, calculating perimeter and area, and for testing lines of symmetry |
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Ozobots
- can be programmed to follow directions - can also follow maps drawn with specific colours |
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Beebots
- like the Ozobots, can also be programmed to follow directions - easier to use with buttons on the top |
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GeoBoard - Go to this awesome Geoboard website and try and create the following shapes:
A white square A yellow trapezoid An orange parallelogram A red rhombus A purple right angle triangle A blue octagon A green isosceles triangle A grey regular polygon |
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Tangrams - A tangram (七巧板) is a puzzle with seven flat polygons, called tans, which are put together to form shapes. You can even create your own puzzles and shapes as long as they follow a few simple rules. First, all seven shapes must be used. Second, they must touch. And Finally, they must not overlap. The website linked in the title has many interactive tangrams that you can try and make, but you can print and cut out your own.
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Two Cut Challenge - From our BrainPop Jr. video, we learned that there are lots of different ways to move shapes (slides, flips, turns), but even if we move a shape, it is still congruent. Moving a shape doesn't change its size or attributes. With this is mind, the two cut challenge is a game where we create three similar triangles from a square of paper. Our goal is to then make as many different shapes as possible. The rules are that you must use all the shapes and the edges that connect must be the same length. See the example to the right. How do you know that you have a new shape? Make sure that the shape you have created is not just a flipped shape that you have already made.
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Shape Riddles - Check out the shape riddle below. Can you guess what shape it is? How do you know for sure? Try and create your own shape riddles and share them with your friends. See if they can guess what you have come up with? Make sure your riddle gives clues for only one type of shape though.
I have four sides.
I have four right angles.
I have 2 short sides.
I have 2 longer sides.
What shape am I?
I have four right angles.
I have 2 short sides.
I have 2 longer sides.
What shape am I?
Symmetry in Art / Nature - We have used the MIRAs to try and make predictions about lines of symmetry, but can we find symmetry on things in the world around us. Lots of art and things in nature have lines of symmetry. See if you can find these lines of symmetry by taking pictures of things you see and drawing a line (you can do this using a photo editing app) to show where you see symmetry. Do you see lines of symmetry in the images below? The last image is a picture from the Spirograph Maker on our Math Games Page. Create your own images with many lines of symmetry.
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Beebots / Ozobots - Our Beebots and Ozobots are both great tools to practice giving directions. Create maps, or use the maps provided to give the Beebots and Ozobots directions. What makes giving directions challenging? What is the language you use when giving directions? Maps - There are many different types of maps, like the one of RCHK to the right. What features do maps have? What symbols do they use to represent different places on the map? How can we use maps to help give directions? Check out different maps or create your own based on areas that you know. Battleship - Battleship is a great game for learning about grids and directions. Use the link to the Battleship game on our Math Games page. There are also Battleship games online and the official game at most games stores. |
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Central Idea
"We can use tools to find out and represent the size or amount of something in numbers, in order to help us find patterns and solve problems in the real world."
Measurement of Angles |
Measurement of Time |
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An inquiry into...
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An inquiry into...
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Measurement of Shape and Space
An inquiry into...
- How the metric system connects to our Base 10 number system (CONNECTION)
- The strategies and tools we use when measuring length (FUNCTION)
- The strategies and tools we use when measuring mass (FUNCTION)
Tuning In
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How we Measure Time - Why do we need to be able to measure time? How would our lives be different if we didn't have a measurement for time system? What is time? Would time still exist if people did not exist? Take a look at the instruments for telling time above. How do they connect? Which one do you think is the oldest? How do you think they work?
What Units of Time Came First - Speaking of time, there are many different units and words that we use to describe time. Which one do you think came first? Why do you think that?
Comparing Weight - How do we know when an object weighs more than another? What if they weights are very close to one another? Try to find a series of objects that you think are close in weight and put them in order from lightest to heaviest. What makes something weigh more? Can bigger objects weigh less than smaller objects?
Estimation 180 - This is a great website to make predictions about weight, length and size. Estimating is not the same as guessing. How can we use the knowledge that we have to make better estimations? Check out Estimation 180 to help improve your estimating skills.
What's an Angle? - What do we already know about angles? What are the types of angles? What are the different sizes? How can we measure angles? Where do we find angles? What is an angle anyway?
Finding Out
BrainPop Jr. - There are many different places where we can find out about Measurement. One of the places we go to often is BrainPop Jr. Below you will find several videos relating to time, ranging from telling time to the hour, all the way to the minute, as well as videos about elapsed time and calendars. There are also videos relating to measurement of length, mass, area and perimeter, using nonstandard units as well as metric units. Click on the pictures below to watch the videos. Do not forget to use your research sheet and your best visual note-taking to record your thoughts.
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Math is Fun - Another great website that we can use for many different things. Math is Fun has some great information on probability. Click on the link here to find out more about measurement.
Concrete
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Clocks
- helpful for measuring times (stopwatches) and for solving problems - plastic clocks can be used for practicing demonstrating times on an analogue clock - calendars and timelines can also be used |
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Protractor
- measuring tool, used to help measure angles |
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Ruler / Tape Measurer
- wide range of rulers used for measuring different lengths - tools include metre stick, tape measurer, etc. |
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Trundle Wheel
- useful for measuring lengths over a greater distance |
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Balance Scale
- for comparing the weight of objects and can be used with specific weights to find specific weights of objects |
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Digital Scale
- for accurately finding the weight of specific items |
Car Journey - Create a ramp using materials you can find around your home. Find some toy cars, or something that rolls and see how far they can go when you roll them down the ramp. Use tools to measure the distance your cars go and keep track using a table. Make adjustments to the cars and ramp to see if it will make the cars go further.
Hundred Metre Dash - How far is 100m? How long does it take to run that distance? How could you measure 100m? What tools would you use? Using a timer, see how long it takes you and your friends or family to run that distance. Compare yourself to the world record holders. If you don’t have space, try running a shorter distance.
Paper Plane - Everyone loves making paper airplanes, but how can you make a plane that will fly the furthest? Is there a specific design that will go further than others? Try different designs to see which one will go the furthest. How will you measure the length that they travel to make sure you are accurate. What tool will you need?
Hundred Metre Dash - How far is 100m? How long does it take to run that distance? How could you measure 100m? What tools would you use? Using a timer, see how long it takes you and your friends or family to run that distance. Compare yourself to the world record holders. If you don’t have space, try running a shorter distance.
Paper Plane - Everyone loves making paper airplanes, but how can you make a plane that will fly the furthest? Is there a specific design that will go further than others? Try different designs to see which one will go the furthest. How will you measure the length that they travel to make sure you are accurate. What tool will you need?
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Estimate and Measure (Weight) - Create a table to estimate and weigh different objects around your home. How can you find out how much things weigh? What if you want to weigh heavy things? What if you want to weigh light things?
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Measure Me - Using the tailor’s tape measurer, try to find out the length and distance around different parts of the body. How can you use the tailor’s tape to measure the length around your head, or your neck, or wrist. Also, see if you can find any parts of the body that have similar ratios. Are there any parts that are 1:1, or 2:1? Light to Heavy - Can you find objects in your house or around the classroom that are big but light and other objects that are small but heavy? Estimate how much you think each of the objects weigh and then measure them using the proper tool. What makes something heavier? What makes something lighter? Will it Float? - Speaking of light and heavy, find some objects in your house that you can put into water to see if they float. You will be surprised by some objects around the house that you think will float that actually sink, as well as objects that you think will sink, that will actually float. What makes something float? What makes it sink? Estimate and Measure (Length) - Create a table to estimate and measure different objects around your home. How can you find out the length? What tools will you use? When are some tools better to use than others? Time Zones - When I called my family in Canada, they told me that the time was 12 hours behind what it was in Hong Kong? How could that be? Why was the time behind? What are Time Zones? How do they work? Designing a Clock - What does a clock look like? What features does it have? Why is that? Create your own clock using any kind of materials in your house. Make sure you can use your clock to tell someone the time! Angle Monster - Angles are all around us. Let’s build ourselves a tool that makes it easier to spot the different angles in our house.
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Art and Angles - Observe the painting and answer the following questions: Describe the angles that you see? How many are acute? How many are right? Can you spot an example of all different angles
Angles in a Name - What angles can you find in your name? Write out your name in Upper case letters Use your Angle Monster to spot different angles. Create a tally chart to show your findings. 
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