Download Locus Focus Group

Locus Focus Group.
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We need to:
Find a persuasive example or two involving some geometry and some algebra that
will make others interested in exploring DGS…. Maxbox, fixed perimeter rectangle,
loci, dynamic number line,
Teachers wanting to use DGS for the first time will need
1. To know how to create commonly needed constructions
2. Practice skills by setting up demonstration sketches for themselves …
(some of these could also be used as classroom tasks by pupils, depending on the confidence
of the teacher)
carefully selected tasks covering a range of key skills…
3. A range of tasks for pupils to do
1. “How to” things needed
 How to construct a line of fixed length
 Measuring angles of more than 180˚
2. Tasks to practice on…
Task
GSP Skills
Construct a
triangle, measure
the angles, find
total
Connecting lines and points
Measuring angles and lines
Using “calculate”
Constructing and
measuring angles
including reflex
angles
Constructing arcs and sectors of
circles
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Angle in semicircle and other
circle theorems
Constructing a circle from diameter
Arcs and sectors
Measuring angles
Other methods of constructing circles
Area of a triangle
from a rectangle
Using parallel and perpendicular lines
Constructing the interior of a polygon
Measuring area
Curriculum Content


Demonstration of
angle sum of a
triangle
Proof of result

Estimating angles

Demonstration of
circle theorems


Area of rectangle
Area of triangle
Symmetry of
parallelogram
Using parallel and perpendicular lines
Constructing the interior of a polygon
Using reflections
Adding a page
Labelling points
Rolling square
Using parallel and perpendicular lines
Rotation
Trace a point
Perpendicular
bisector
Constructing circles of equal radius
Trace a point
Animating a parameter
Vector translations
Vector translations
Plot function
Guess the Function Measuring ordinate & abscissa
Creating table of values
Speed from
distance-time
graphs
Finding the gradient of a line
Scaling Axes
Editing labels
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3d cross section
Using circles to create lines of fixed
length using a parameter
Rotation
Parallel and perpendicular lines
Trig functions
Creating and measuring sectors
Using graphing
Trace a point
Helen
Carol
Neil
3. Classroom Tasks ???
Task
Angles in polygons
Vector Tessellations
GSP Skills

Demonstrating that a
parallelogram doesn’t
have reflective
symmetry

Loci

Loci – perpendicular
bisector

Using column vectors
to translate objects

Exploring functions
and graphs.
Relationship between
co-ordinates and
functions


Gradient of line
related to speed

3d planes of
symmetry

Relating
trigonometric
functions to the unit
circle for 0 – 360°
Done
Transformations: Rangoli Patterns
Explore area and circumference of
circles
Construct a square… how many
ways can you do it?
Joining midpoints… shape, lengths
& area
Rectangle: fixed perimeter or fixed
area
Design a windmill
Constructing shapes, rotation, using
parameters and animation
Graph Fitting
Basic skills and hints
Placing points
Ways to construct lines
Measuring lines and areas
Measuring angles; using sectors to measure angles of more than 180˚
Using calculate
Ways to construct circles
Constructing lines of fixed length
Intersections & midpoints
Marking centres, lines of reflection, distances
Transformations
Using parameters
Ways to animate
Trace a point
Animate a point around a polygon
Adding a page
Re-ordering & labelling pages
Plotting functions
Plotting co-ordinates
Creating tables of values
Snap to grid
Labelling
Text Palette
Enlarging text
Merging text to a point
Hide/show
Action buttons