GM3-4: Represent objects with drawings and models.
This means students will make drawings of objects, which can take the form of plan views or nets.
.gif)
Note that a net is a flat shape that folds to form a solid. Many different nets form the same solid, for example there are eleven different nets that form a cube. At Level Three students need to create two-dimensional drawings of three-dimensional models, as above, and be able to recreate the model when given another person’s drawings of it. Models may be built with interlocking cubes, plasticine, connecting geometric shapes or other materials, for example toothpicks and plasticine.
- Building and drawing three-dimensional solids.
find the area of a rectangle (Problem 1)
solve puzzles involving 3 dimensional drawings (Problem 2)
use addition to solve puzzles (Problem 3)
find outcomes using a diagram (Problem 4)
find fractions of whole numbers (Problem 1)
interpret three dimensional drawings (Problem 2)
solve puzzles related to three dimensional shapes
make nets for three dimensional shapes.
draw nets for polyhedral
- Drawing nets for three-dimensional objects.
interpret and draw representations of cube patterns
identify the pattern in a series of cube buildings
- Draw buildings made from cubes.
- Classify two dimensional shapes and describe their features.
- Draw a diagram showing the top, side, front, and back of a solid figure.
- Make the net for a solid figure.
- Use co-ordinates on a map to identify the position of houses.
- Construct triangles and quadrilaterals by measuring appropriate lengths, and identify the properties of the shapes.
- Find all300
make a model of a three dimensional shape
represent cube buildings on isometric paper
- Find all the lines of reflection symmetry in a given shape.
- Identify the order of rotational symmetry of a given shape (how many times it "maps" onto itself in a full turn).
- Create designs which have reflection symmetry, rotational symmetry (orders 2, 3, 4, 6) and translational symmetry.
design a net
use additive strategies to solve problems (Problems 1 and 4)
arrange 3 dimensional pieces to make a cube (Problem 2)
solve problems involving addition and capacities (Problem 3)
Session One
- Recognise a trapezium, right angled triangle, and points in a straight line, in different orientations.
- Construct a model of all the possible outcomes for rolling a standard dice and use the model to predict the results of an experiment.
Session Two
- Find the next shape in a300
make a three dimensional model with multilink cubes from a two dimensional drawing
describe and continue a sequential pattern
explore the Mayan number system
find outcomes using a diagram (Problem 1)
interpret three dimensional drawings (Problem 2)
use algebraic thinking to solve problesm (Problem 3)
explore averages (Problem 4)
interpret three dimensional drawings (Problem 2)
use algebraic thinking to solve problems (Problem 3)
predict the results of paper folding reflections (Problem 4)
- Drawing nets for three-dimensional objects.
explore nets of simple three dimensional boxes
interpret three dimensional drawings
use a table to find a sequential pattern