Exploring 2D Shapes and Polygons
Uncover the world of 2D shapes and polygons with a brain dump session, identifying common shapes like triangles, quadrilaterals, and polygons with Greek and Latin numerical prefixes. Learn the distinguishing features of shapes, symbols used to represent key characteristics, and how markings denote equal angles in shapes. Engage in activities to decode and characterize various types of quadrilaterals and pentagons, enhancing understanding through visualization, summarization, inference, and prediction.
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Presentation Transcript
Brain Dump On your mini whiteboard sketch and name as many shapes as you can in 5 minutes RETRIEVE INSTRUCT PRACTISE SECURE
Some shapes are two-dimensional (2D) Here are some common 2D shapes Triangles Quadrilaterals Pentagon Hexagon equilateral square rectangle regular regular isosceles kite rhombus irregular irregular concave scalene trapezium parallelogram RETRIEVE INSTRUCT PRACTISE SECURE
These regular polygons are all 2D shapes angles Greek number + agon 3 7 Trigon Heptagon Triangle 4 8 Tetragon Octagon Quadrilateral 5 9 Pentagon Nonagon Latin 6 10 Hexagon Decagon RETRIEVE INSTRUCT PRACTISE SECURE
2D shapes with any curved edges are not polygons Semi-circle RETRIEVE INSTRUCT PRACTISE SECURE
We use these symbols to show the key features of a shape a 90 angle parallel sides a pair of equal lengths a pair of equal lengths RETRIEVE INSTRUCT PRACTISE SECURE
We also use these markings to show which angles in a shape are equal in size. Isosceles Triangle Rhombus Kite RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE DECODE at least 2 different types of quadrilateral. CONNECT VISUALIS E SUMMARI SE INFER PREDICT no need to draw accurately! EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE DECODE at least 2 different types of pentagon. CONNECT VISUALIS E SUMMARI SE INFER PREDICT no need to draw accurately! EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE DECODE CONNECT a shape with two equal angles. VISUALIS E SUMMARI SE INFER no need to draw accurately but remember to use the relevant mathematical symbols PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE DECODE CONNECT VISUALIS E a shape with a pair of equal sides. SUMMARI SE INFER no need to draw accurately but remember to use the relevant mathematical symbols PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE DECODE CONNECT VISUALIS E a shape with at least 3 equal sides. SUMMARI SE INFER no need to draw accurately but remember to use the relevant mathematical symbols PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE DECODE a shape with 2 pairs of equal angles. CONNECT VISUALIS E SUMMARI SE INFER no need to draw accurately but remember to use the relevant mathematical symbols PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE DECODE CONNECT a shape with at least 1 pair of parallel sides. VISUALIS E SUMMARI SE INFER no need to draw accurately but remember to use the relevant mathematical symbols PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE DECODE CONNECT a shape with 2 pairs of parallel sides. VISUALIS E SUMMARI SE INFER no need to draw accurately but remember to use the relevant mathematical symbols PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
Some shapes are three-dimensional (3D) Here are some common 3D shapes Cuboid Sphere Cone Hemisphere Cylinder Cube Triangular Prism RETRIEVE INSTRUCT PRACTISE SECURE
Some shapes are 3D shapes are prisms Prism: A 3D shape with the same cross-section all the way along its length. RETRIEVE INSTRUCT PRACTISE SECURE
Some shapes are 3D shapes are pyramids Circle-Based Pyramid (Cone) Triangle-Based Pyramid (Tetrahedron) Square-Based Pyramid RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE face DECODE CONNECT VISUALIS E SUMMARI SE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEVE edge DECODE CONNECT VISUALIS E SUMMARI SE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER vertex (plural vertices) RETRIEVE DECODE CONNECT VISUALIS E SUMMARI SE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Pyramids Fill in the table for each of the pyramids RETRIEVE Solid Number of Faces Number of Edges Number of Vertices DECODE CONNECT VISUALIS E SUMMARI SE INFER PREDICT Can you find a predict the results for a heptagonal or octagonal based pyramid? What about an n-agonal based pyramid? EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Pyramids Fill in the table for each of the pyramids RETRIEVE Solid Number of Faces Number of Edges Number of Vertices DECODE CONNECT VISUALIS E SUMMARI SE INFER PREDICT Can you find a connection between the Faces, Edges and Vertices? EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Euler s Formula for Polyhedra RETRIEVE V + F - E = 2. DECODE The formula was discovered by and bears the name of the famous Swiss mathematician Leonhard Euler (1707 - 1783) CONNECT VISUALIS E SUMMARI SE It is true for all polyhedra. (singular polyhedron) INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Prisms Fill in the table for each of the prisms RETRIEVE Solid Number of Faces Number of Edges Number of Vertices DECODE CONNECT VISUALIS E SUMMARI SE INFER PREDICT Can you find a predict the results for a heptagonal or octagonal prism? What about an n-agonal prism? EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Prisms Fill in the table for each of the prisms RETRIEVE Solid Number of Faces Number of Edges Number of Vertices DECODE CONNECT VISUALIS E SUMMARI SE INFER PREDICT Verify that Euler s formula also works for the prisms in this table EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Other Polyhedra Fill in the table for each of these platonic solids RETRIEVE Solid Number of Faces Number of Edges Number of Vertices DECODE CONNECT Octahedron VISUALIS E Dodecahedron SUMMARI SE INFER Icosahedron PREDICT How can you use Euler s formula to fill in this table? EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Why are there only 5 platonic solids? RETRIEVE DECODE CONNECT VISUALIS E SUMMARI SE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
