geometry and measurement yrs 7-9 alison fagan maths advisor
TRANSCRIPT
Geometry and Measurement yrs 7-9
Alison Fagan Maths advisor
Outline of course• Curriculum changes from MINZC to NZC
• Mathematics standards Geometry and Measurement yrs 7-8
• Measurement
• Geometry
Curriculum changes from MINZC to NZC
• Handout changes document
• Identify one major change from MINZC to NZC
Measurement• Units and conversion
• Perimeter area and volume
• Circles
• Perimeter and area of rectangles
• Volume and surface area of cuboids
Measurement
Sort unit cards into appropriate categories
Measurement
• Converting units
kg g mg
1000
10001000
1000
Measurement• Converting units
km m cm mm
10
1000
1000100
Measurement
Circles
Measure the circumference of the circle C
Measure the diameter of the circle d
Find C ÷ d
Measurement
Cut your circle up into sectors along the lines.
Arrange these pieces into an approximate parallelogram
What is its approximate area?
Area of circle
Perimeter and Area of Rectangles
Take 24 blocks and make a solid rectangle
What is its area?
What is its perimeter?
Which rectangle has the largest perimeter?
Which has the smallest?
Volume and Surface areaUsing 24 blocks again
Make a cuboid,
What is its volume
What is its surface area?
Which cuboid has the largest surface area
Which has the smallest?
How many cubes would you need to make a cube?
Geometry
• shapes
• symmetry
• transformations
Kite
add 2 pairsequal sides
Quadrilateral 4 sides
add 1 pairparallel sides
Trapezium
add 1 pairparallel sides
Parallelogram
all 4 sides equal
RhombusRectangle
Square
4 sides equal all vertices right angles
all vertices right angles
True or false?
All squares are rectangles
All rectangles are squares
A square is a rhombus
Write your own
Describing shapesChoose a partner, take one of the cards
Describe your picture to your partner using mathematical language, so that they can draw it
When finished look at their drawing. Does it look like yours?
Reflective symmetry
Rotational symmetry
Make a design using shapes withreflective symmetry Rotational symmetry
0 2
1 1
2 2
Transformations
Reflection
Rotation
Translation
Enlargement
Kowhaiwahi
Make your kowhaiwhai using the koru
Explain the transformations in it.
Next workshop
Contact me at
With ideas/ suggestions/ requests for next workshop
HOMEWORK
Take one of these activities and USE it
Feedback at next workshop on
Success/ disaster
How you would change/ adapt it