Changes

Measurements in circles (view source)

Revision as of 10:34, 2 January 2014

766 bytes removed , 10:34, 2 January 2014

→‎Concept # Measurements in circles: 1. Radius and Diameter

Line 2: Line 2:

==Concept # Measurements in circles: 1. Radius and Diameter ==

===Learning objectives===

−

# ~~The students should learn~~ to measure radius, diameter, circumference, chord length and angles subtended at the centre and on the circumference of the circle.

+

# Ability to measure radius, diameter, circumference, chord length and angles subtended at the centre and on the circumference of the circle.

−

# ~~The students should understand that radius~~, diameter and chord lengths are linear measurements.

+

# Radius, diameter and chord lengths are linear measurements.

−

# ~~They should learn to relate~~ the size of the circle with radius.

+

# Relate the size of the circle with radius.

# They realise that to draw a circle knowing the measure of radius or diameter is essential.

# There can be infinite radii in a circle.

Line 11: Line 11:

# Chords of different lengths can be drawn in a circle.

# Chord length can be measured using a scale and its units is cm.

−

# ~~They should know that the~~ length of the chord increases as it moves closer to the diameter.

+

# The length of the chord increases as it moves closer to the diameter.

# The longest chord in the circle is its diameter.

# Distance of chord from the centre is its perpendicular distance from the centre.

Line 30: Line 30:

#students' geometry box

*Prerequisites/Instructions, if any:

−

# ~~Children should have the knowledge of circle, centre, radius, diameter~~ and ~~circumference.~~

+

# Circle and its basic parts should have been done.

−

~~# The teacher~~ should have ~~the necessary skill of using geogebra tool~~.

*Multimedia resources: Laptop

*Website interactives/ links/ / Geogebra Applets

Line 44: Line 43:

#To measur diameter, measure the length of that chord which passes through the centre of the circle.

Then she can project the digital tool 'geogebra.' and further clarify concepts.

−

*Developmental Questions:

# Name the centre of the circle.

Line 71: Line 69:

Laptop, geogebra file, projector and a pointer.

*Prerequisites/Instructions, if any:

−

~~# The students should have prior knowledge of circle, radius , diameter and circumference..~~

−

~~# The teacher should have knowledge of using geogebra.~~

*Multimedia resources:

Laptop, geogebra file, projector and a pointer.

Line 78: Line 74:

<ggb_applet width="1278" height="571" version="4.0" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />

*Process:

−

# ~~The teacher can review the concept of a circle , radius , diameter and circumference .~~

+

# Show the geogebra file and ask the following questions.

−

~~# Any two points on the circumference can be joined.~~

−

~~# The joining line segment is called the chord.~~

−

~~# Let the students name the chord .~~

−

~~# Move the chord on~~ the geogebra and ~~let them observe its changing size.~~

−

~~# Let them observe the chord becoming a diameter while passing through the centre of the circle.~~

−

~~# The length of~~ the ~~chord is measued using a scale with its unit being cm~~.

*Developmental Questions:

# The teacher can point to centre of circle and ask the students as to what it is.

Line 94: Line 84:

# How do you measure a chord and in what units ?

*Evaluation:

−

Were the students able to distinguish between radius, diameter and chord ?

+

# Were the students able to distinguish between radius, diameter and chord ?

*Question Corner:

−

After drawing a chord,what are the two segregated parts of the circle called ?

+

3 After drawing a chord,what are the two segregated parts of the circle called ?

==Concept # 2. Angles in circles==

sudha

1,040

edits

Changes

Measurements in circles (view source)

Revision as of 10:34, 2 January 2014

Navigation menu

Search