GEOMETRY LG to describe and manipulate shape and
GEOMETRY LG: to describe and manipulate shape and movement of shape.
SYMMETRY • What is symmetry? • Being made up of exactly similar parts facing each other or around an axis. Lines of Symmetry If you can flip a shape over and it still looks the same Rotational Symmetry When it still looks the same after a turn (less than a full rotation)
• Rotational Symmetry Reflectional Symmetry
ASYMMETRY
LG: I CAN IDENTIFY LINES OF SYMMETRY • Draw the shapes in your book and draw the lines of symmetry
REFLECTION SYMMETRY 1) Get loose leaf grid paper and cut out a square (minimum 10 x 10) 2) Draw a black line right down the middle of the page 3) Using different colours, draw a pattern/image on one side and then draw the reflection (mirror image on the other) 4) To check if it is symmetrical, place a mirror on the line of symmetry (mirror line) and look into the reflection. Is your pattern/image symmetrical?
All EXPLORE SYMMETRY – CHOOSE YOUR ACTIVITY • DRAW – CUT – FOLD Draw a perfectly symmetrical picture using the grid paper. Cut it out and fold it in half to see if it folds in half. SNOW FLAKES Fold a piece of paper in half, then half again and half again. Use straight or curvy lines to cut off the corners. Cut holes in the centre, and cut shapes out of the sides. Open out the paper. What do you notice? Mount it on card and give it a name. What does it look like? Body Photos Use your bodies to show symmetry and non-symmetry. Take a photo and upload to Seesaw. Symmetrical Faces: You and your friend will take a photo of your face (must have the device EXACLTY the same distance away from the camera your head takes up the same amount of space in the photo). Print it off your photos and cut them straight down the middle from forhead to chin. Join your two faces together!!! Beautiful Butterflies: Use A 4 paper to draw beautiful symmetrical butterflies. Display these around the Classroom
LG: TO IDENTIFY ROTATIONAL SYMMETRY AND ORDER OF ROTATION • Check out the information on order of rotation here: • http: //www. mathsisfun. com/geometry/symmetry-rotational. html • Draw a shape that has 2 orders of rotation • Draw a shape that has 3 orders of rotation • Draw a shape that has more than 3 orders of rotation • Identify as many shape as you can that has rotational symmetry in our environment (e. g. fan)
FLIPS, SLIDES AND TURNS FLIP: To turn it over Slide: To move without turning or flipping (side to side) Turn: To rotate around a centre (like a clock turns)
LG: TO IDENTIFY FLIPS AND DESCRIBE SLIDES, TURN AND FLIPS. • Play the Flips, Slides and Turns activity on studyladder • https: //www. studyladder. com. au/games/activity/slide-flip-or-turn-activity-1 -21592 • Find a shape around the classroom and take a video describing it flipping, sliding and turning. Upload it to Seesaw.
LG: TO DEMONSTRATE FLIPS, SLIDES AND TURNS • Collect 3 different coloured A 4 card. Trace around THE SAME hand 2 times on each card. You will have 6 cut our hands altogether. • Use your cut out hands to make a poster displaying what your hand would look like if it was flipped, turned and slid. • HINT: For a flip you will need a line of symmetry (mirror line) • For a turn you will need centre point for it to rotate around.
TRANSLATE(SLIDE), ROTATE(TURN), REFLECT(FLIP) In Miss Lawrence’s Opinion…hard, hard … • You will need laptops and a clinic group for this! • Practise your skills in identifying when a shape is translating, rotating or reflecting here: • http: //www. sheppardsoftware. com/mathgames/geometry/shapeshoot/Translate. Shap es. Shoot. htm • THEN TRY THIS MEGA, MEGA HARD ACTIVITY!!! • http: //www. mathplayground. com/Shape. Mods. html
TESSELLATIONS
LG: TO RECOGNISE TESSELLATE SHAPES AL L • What are tessellations? When a shape is such that many copies of it can be joined like tiles to cover a space without overlapping or leaving gaps. The shape is said to be tessellate. • Draw 3 shapes that are tessellate and 3 shapes that are not. • Identify 3 places where you see tessellations in our environment. • Find an object to trace around and make a beautiful tessellation on blank white paper. Try making a colour pattern! You may even use this as wrapping paper or a poster!
TESSELLATION CHALLENGE
AND ENLARGEMENT TRANSFORMATIONS
• Draw a picture of your favorited thing on earth! Don’t make the original any bigger than 4 x 3. Make it’s width different to it’s height by 1 or 2 grid squares. • Use the grids to enlarge it twice. Once X 2 (height and width) then X 3 (height and width) • Display on card and in the classroom
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