Post on 08-Sep-2020
PO Box 6, Sandown Village, Vic, 3171, AustraliaTelephone: (03) 9796 1177 - Fax: (03) 9796 1832
www.mathomat.com.au
Published by Objective Learning Materials, a business of W&G Education Pty. Ltd. A.C.N. 051 847 637
1
Mathomat Senior has been specifically developed for Sketching andpresentation of work by students from years 10 to 12. Features such as aunit circle and tangent line for trigonometry study, graphing curves and3D soild sketch outline make Mathomat Senior an invaluable aid forprojects and classwork, particularly for topis such as Trigonometry,Geometry & Measurement and Fractions & Graphs.
A technical and creative drawing tool for senior secondary school students.
TEMPLATEMATHOMAT SENIOR
®
2
MATHOMAT
FEATURES OF MATHOMAT SENIOR
MATHOMAT
MATHOMAT SENIOR SPECIFICATIONSName Specifications
1 cosine/sine curve Period 4cm. Amplitude 1 cm
sine/cosine curve Period 8cm. Amplitude 1 cm
sine/cosine curve Period 4cm. Amplitude 2 cm
Circle 2.5 cm diameter
Circle 2 cm diameter
Cylinder Straight sides 2 cm, width 2 cm
Cone 2 cm base, 2.5 cm height
y = a (exponential graph)
Normal curve
Circle 1 cm diameter
Rectangle 3 cm x 2 cm
Parallelogram 3 cm, 2 cm, 30°
Ohombus 2 cm, 60°
Ellipse 4 cm x 2 cm
Equilateral triangle Inscribes within circle 29
Square 3 cm x 3 cm
Triangle (1, 1, 2 ) 3 cm, 3 cm, 45° , 45°, 90°
Sqaure pyramid
Ellipse 2 cm x 1 cm
Parallelogram 3 cm, 2 cm, 60°
y = tan x (tangent graph)
y = x (cubic graph)
Sqaure 2 cm x 1 cm
Sqaure 1.5 cm x 1.5 cm
Sqaure 1 cm x 1 cm
y = ½ x (quadratic graph)
y = x (quadratic graph)
4 cm x 1 cm
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
x
3
2
2
y = 2x (quadratic graph)
Ellipse3 cm diameterCircle4 cm diameterCircle
Triangle (1, 2, 3 )
2
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 4
Sine and cosine curves of various amplitudes and periods.
Accuraterulers.
Prism cluster.
Isometric drawing guides.
Quadratic graphs.
Trig graph scale.4 squares.5 circle sizes.
A complete list follows on the opposite page.
Unit circle and tangent line.
10 graphcurves.
Special triangles (1, 1, √2 and 1, 2, √3).
Three different ellipses.
Cylinder outline.
Pyramid outline.
11MATHOMAT
TANGENTOn a unit circle,
Tangent of an angle = position of the extended angle arm on the tangent line.A tangent line scale is marked on the right edge of Mathomat Senior, and must be re-drawn as shown before
the tangent of an angle can be read.
1.61.51.41.31.21.11.0
1.61.51.41.3
1.21.1
1.0
The diagram above shows that tangent of 50° = 1.2 (approx.) , or tan 30° = 1.2 (approx.).
tan 50° = 1.2 (approx.)
MATHOMAT
TRIGONOMETRIC SYMMETRY
SPECIAL TRIANGLES
Symmetry properties of the trigonometric function my be determined easily using Mathomat Senior’s unitcircle, which has angles in terms of marked.
The diagram below shows that
These statements may be generalised to find expressions for
Similar expressions may be derived for the tangent function(These tasks are left to the reader)
Shapes 17 and 32 are the ‘special triangles’ commonly used to determine trig values of key angles as shown below.
2H
T P
/2
3/2
3
MATHOMAT
FEATURES OF MATHOMAT SENIOR
MATHOMAT
MATHOMAT SENIOR SPECIFICATIONSName Specifications
1 cosine/sine curve Period 4cm. Amplitude 1 cm
sine/cosine curve Period 8cm. Amplitude 1 cm
sine/cosine curve Period 4cm. Amplitude 2 cm
Circle 2.5 cm diameter
Circle 2 cm diameter
Cylinder Straight sides 2 cm, width 2 cm
Cone 2 cm base, 2.5 cm height
y = a (exponential graph)
Normal curve
Circle 1 cm diameter
Rectangle 3 cm x 2 cm
Parallelogram 3 cm, 2 cm, 30°
Ohombus 2 cm, 60°
Ellipse 4 cm x 2 cm
Equilateral triangle Inscribes within circle 29
Square 3 cm x 3 cm
Triangle (1, 1, 2 ) 3 cm, 3 cm, 45° , 45°, 90°
Sqaure pyramid
Ellipse 2 cm x 1 cm
Parallelogram 3 cm, 2 cm, 60°
y = tan x (tangent graph)
y = x (cubic graph)
Sqaure 2 cm x 1 cm
Sqaure 1.5 cm x 1.5 cm
Sqaure 1 cm x 1 cm
y = ½ x (quadratic graph)
y = x (quadratic graph)
4 cm x 1 cm
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
x
3
2
2
y = 2x (quadratic graph)
Ellipse3 cm diameterCircle4 cm diameterCircle
Triangle (1, 2, 3 )
2
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 4
10MATHOMAT
TANGENTOn a unit circle,
Tangent of an angle = position of the extended angle arm on the tangent line.A tangent line scale is marked on the right edge of Mathomat Senior, and must be re-drawn as shown before
the tangent of an angle can be read.
1.61.51.41.31.21.11.0
1.61.51.41.3
1.21.1
1.0
The diagram above shows that tangent of 50° = 1.2 (approx.) , or tan 30° = 1.2 (approx.).
tan 50° = 1.2 (approx.)
MATHOMAT
TRIGONOMETRIC SYMMETRY
SPECIAL TRIANGLES
Symmetry properties of the trigonometric function my be determined easily using Mathomat Senior’s unitcircle, which has angles in terms of marked.
The diagram below shows that
These statements may be generalised to find expressions for
Similar expressions may be derived for the tangent function(These tasks are left to the reader)
Shapes 17 and 32 are the ‘special triangles’ commonly used to determine trig values of key angles as shown below.
2H
T P
/2
3/2
4
MATHOMAT
PERPENDICULAR LINES
PARALLEL LINES
Even previously tricky reflex angles maybe drawn and measured easily usingMathomat Senior’s circular protractor.
Use the lines that divide MathomatSenior vertically and horizontally asguides for constructing perpendicularlines, for example when drawing largerectangles.
Use the left edge ruler and straightedges of shapes 6 and 17 as shownto construct parallel lines 1 cm apart.
ANGLE MEASUREMENT AND CONSTRUCTION
MATHOMAT
ISOMETRIC LINES
Isometric Lines
These allow diagram like the one below to be drawn with relative ease.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 6
9MATHOMAT
THREE DIMENSIONAL GEOMETRY
Use shapes 6, 19 Use shapes 7, 19 Use shapes 18
Use shapes 11, 12, 13 Use shapes 12, 19 Use shapes 23
Use shapes 5, 19 Use shapes 29, 31
Use shapes 15, 29
Use shapes 14, 31
Three dimensional solids maybe be sketched quickly and accurately using the shapes listed below.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 9
MATHOMAT
LARGE SCALE POLYGONS
UNIT CIRCLE TRIGONOMETRYDefinitions od sine, cosine and tangent are easily explained and visualised using the circular protractor
which doubles as a ‘ unit circle’.
On a unit circle,
Sine of an angle = y co-ordinate Cosine of an angle = x co-ordinate
For example, the following diagram shows that
Sine of 30° = 0.5 and Cosine of 30° = 0.87 (approx.)
or, using mathematical shorthand,
sin 30° = 0.5 and cos 30° = 0.87 (approx.)
Sine and Cosine
Large polygons may be drawn using the letter guides around the outside of the circular protractor. Simply mark each
corner using the appropriate letter, and connect them.
The following letters are used around the circular protractor.
T - triangle, P - pentagon, H - hexagon, and O - octagon.
For a square, use the 0°, 90°, 180° and 270° holes on the edge of the circular protractor.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 10
5
MATHOMAT
PERPENDICULAR LINES
PARALLEL LINES
Even previously tricky reflex angles maybe drawn and measured easily usingMathomat Senior’s circular protractor.
Use the lines that divide MathomatSenior vertically and horizontally asguides for constructing perpendicularlines, for example when drawing largerectangles.
Use the left edge ruler and straightedges of shapes 6 and 17 as shownto construct parallel lines 1 cm apart.
ANGLE MEASUREMENT AND CONSTRUCTION
MATHOMAT
ISOMETRIC LINES
Isometric Lines
These allow diagram like the one below to be drawn with relative ease.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 6
8MATHOMAT
THREE DIMENSIONAL GEOMETRY
Use shapes 6, 19 Use shapes 7, 19 Use shapes 18
Use shapes 11, 12, 13 Use shapes 12, 19 Use shapes 23
Use shapes 5, 19 Use shapes 29, 31
Use shapes 15, 29
Use shapes 14, 31
Three dimensional solids maybe be sketched quickly and accurately using the shapes listed below.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 9
MATHOMAT
LARGE SCALE POLYGONS
UNIT CIRCLE TRIGONOMETRYDefinitions od sine, cosine and tangent are easily explained and visualised using the circular protractor
which doubles as a ‘ unit circle’.
On a unit circle,
Sine of an angle = y co-ordinate Cosine of an angle = x co-ordinate
For example, the following diagram shows that
Sine of 30° = 0.5 and Cosine of 30° = 0.87 (approx.)
or, using mathematical shorthand,
sin 30° = 0.5 and cos 30° = 0.87 (approx.)
Sine and Cosine
Large polygons may be drawn using the letter guides around the outside of the circular protractor. Simply mark each
corner using the appropriate letter, and connect them.
The following letters are used around the circular protractor.
T - triangle, P - pentagon, H - hexagon, and O - octagon.
For a square, use the 0°, 90°, 180° and 270° holes on the edge of the circular protractor.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 10
6MATHOMAT
GRAPHS OF TRIGONOMETRIC FUNCTIONSMathomat Senior contains three sine/cosine curves. Each one can be used to sketch any sine or cosine
graph by labeling the amplitude and period appropriately. For example, the following four graphs show four different functions,
but were all drawn using shape1.
Of course shapes2 and 3 may also be used to highlight different periods or amplitudes. Again, thechoice of axis can ‘force; a curve to match a particular equation.
MATHOMAT
TANGENT GRAPHS
GRAPHS OF OTHER FUNCTIONS
Shape 21 may maybe used to sketch tangent graphs. Again, an appropriate scale needs to be chosento ensure the curve matches the specified equation.
Mathomat Senior contains graphing curves for most of the major functions met in senior Maths classes.Curves and the shapes used to sketch then appear below.
7MATHOMAT
GRAPHS OF TRIGONOMETRIC FUNCTIONSMathomat Senior contains three sine/cosine curves. Each one can be used to sketch any sine or cosine
graph by labeling the amplitude and period appropriately. For example, the following four graphs show four different functions,
but were all drawn using shape1.
Of course shapes2 and 3 may also be used to highlight different periods or amplitudes. Again, thechoice of axis can ‘force; a curve to match a particular equation.
MATHOMAT
TANGENT GRAPHS
GRAPHS OF OTHER FUNCTIONS
Shape 21 may maybe used to sketch tangent graphs. Again, an appropriate scale needs to be chosento ensure the curve matches the specified equation.
Mathomat Senior contains graphing curves for most of the major functions met in senior Maths classes.Curves and the shapes used to sketch then appear below.
6MATHOMAT
GRAPHS OF TRIGONOMETRIC FUNCTIONSMathomat Senior contains three sine/cosine curves. Each one can be used to sketch any sine or cosine
graph by labeling the amplitude and period appropriately. For example, the following four graphs show four different functions,
but were all drawn using shape1.
Of course shapes2 and 3 may also be used to highlight different periods or amplitudes. Again, thechoice of axis can ‘force; a curve to match a particular equation.
MATHOMAT
TANGENT GRAPHS
GRAPHS OF OTHER FUNCTIONS
Shape 21 may maybe used to sketch tangent graphs. Again, an appropriate scale needs to be chosento ensure the curve matches the specified equation.
Mathomat Senior contains graphing curves for most of the major functions met in senior Maths classes.Curves and the shapes used to sketch then appear below.
7MATHOMAT
GRAPHS OF TRIGONOMETRIC FUNCTIONSMathomat Senior contains three sine/cosine curves. Each one can be used to sketch any sine or cosine
graph by labeling the amplitude and period appropriately. For example, the following four graphs show four different functions,
but were all drawn using shape1.
Of course shapes2 and 3 may also be used to highlight different periods or amplitudes. Again, thechoice of axis can ‘force; a curve to match a particular equation.
MATHOMAT
TANGENT GRAPHS
GRAPHS OF OTHER FUNCTIONS
Shape 21 may maybe used to sketch tangent graphs. Again, an appropriate scale needs to be chosento ensure the curve matches the specified equation.
Mathomat Senior contains graphing curves for most of the major functions met in senior Maths classes.Curves and the shapes used to sketch then appear below.
5
MATHOMAT
PERPENDICULAR LINES
PARALLEL LINES
Even previously tricky reflex angles maybe drawn and measured easily usingMathomat Senior’s circular protractor.
Use the lines that divide MathomatSenior vertically and horizontally asguides for constructing perpendicularlines, for example when drawing largerectangles.
Use the left edge ruler and straightedges of shapes 6 and 17 as shownto construct parallel lines 1 cm apart.
ANGLE MEASUREMENT AND CONSTRUCTION
MATHOMAT
ISOMETRIC LINES
Isometric Lines
These allow diagram like the one below to be drawn with relative ease.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 6
8MATHOMAT
THREE DIMENSIONAL GEOMETRY
Use shapes 6, 19 Use shapes 7, 19 Use shapes 18
Use shapes 11, 12, 13 Use shapes 12, 19 Use shapes 23
Use shapes 5, 19 Use shapes 29, 31
Use shapes 15, 29
Use shapes 14, 31
Three dimensional solids maybe be sketched quickly and accurately using the shapes listed below.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 9
MATHOMAT
LARGE SCALE POLYGONS
UNIT CIRCLE TRIGONOMETRYDefinitions od sine, cosine and tangent are easily explained and visualised using the circular protractor
which doubles as a ‘ unit circle’.
On a unit circle,
Sine of an angle = y co-ordinate Cosine of an angle = x co-ordinate
For example, the following diagram shows that
Sine of 30° = 0.5 and Cosine of 30° = 0.87 (approx.)
or, using mathematical shorthand,
sin 30° = 0.5 and cos 30° = 0.87 (approx.)
Sine and Cosine
Large polygons may be drawn using the letter guides around the outside of the circular protractor. Simply mark each
corner using the appropriate letter, and connect them.
The following letters are used around the circular protractor.
T - triangle, P - pentagon, H - hexagon, and O - octagon.
For a square, use the 0°, 90°, 180° and 270° holes on the edge of the circular protractor.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 10
4
MATHOMAT
PERPENDICULAR LINES
PARALLEL LINES
Even previously tricky reflex angles maybe drawn and measured easily usingMathomat Senior’s circular protractor.
Use the lines that divide MathomatSenior vertically and horizontally asguides for constructing perpendicularlines, for example when drawing largerectangles.
Use the left edge ruler and straightedges of shapes 6 and 17 as shownto construct parallel lines 1 cm apart.
ANGLE MEASUREMENT AND CONSTRUCTION
MATHOMAT
ISOMETRIC LINES
Isometric Lines
These allow diagram like the one below to be drawn with relative ease.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 6
9MATHOMAT
THREE DIMENSIONAL GEOMETRY
Use shapes 6, 19 Use shapes 7, 19 Use shapes 18
Use shapes 11, 12, 13 Use shapes 12, 19 Use shapes 23
Use shapes 5, 19 Use shapes 29, 31
Use shapes 15, 29
Use shapes 14, 31
Three dimensional solids maybe be sketched quickly and accurately using the shapes listed below.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 9
MATHOMAT
LARGE SCALE POLYGONS
UNIT CIRCLE TRIGONOMETRYDefinitions od sine, cosine and tangent are easily explained and visualised using the circular protractor
which doubles as a ‘ unit circle’.
On a unit circle,
Sine of an angle = y co-ordinate Cosine of an angle = x co-ordinate
For example, the following diagram shows that
Sine of 30° = 0.5 and Cosine of 30° = 0.87 (approx.)
or, using mathematical shorthand,
sin 30° = 0.5 and cos 30° = 0.87 (approx.)
Sine and Cosine
Large polygons may be drawn using the letter guides around the outside of the circular protractor. Simply mark each
corner using the appropriate letter, and connect them.
The following letters are used around the circular protractor.
T - triangle, P - pentagon, H - hexagon, and O - octagon.
For a square, use the 0°, 90°, 180° and 270° holes on the edge of the circular protractor.
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 10
3
MATHOMAT
FEATURES OF MATHOMAT SENIOR
MATHOMAT
MATHOMAT SENIOR SPECIFICATIONSName Specifications
1 cosine/sine curve Period 4cm. Amplitude 1 cm
sine/cosine curve Period 8cm. Amplitude 1 cm
sine/cosine curve Period 4cm. Amplitude 2 cm
Circle 2.5 cm diameter
Circle 2 cm diameter
Cylinder Straight sides 2 cm, width 2 cm
Cone 2 cm base, 2.5 cm height
y = a (exponential graph)
Normal curve
Circle 1 cm diameter
Rectangle 3 cm x 2 cm
Parallelogram 3 cm, 2 cm, 30°
Ohombus 2 cm, 60°
Ellipse 4 cm x 2 cm
Equilateral triangle Inscribes within circle 29
Square 3 cm x 3 cm
Triangle (1, 1, 2 ) 3 cm, 3 cm, 45° , 45°, 90°
Sqaure pyramid
Ellipse 2 cm x 1 cm
Parallelogram 3 cm, 2 cm, 60°
y = tan x (tangent graph)
y = x (cubic graph)
Sqaure 2 cm x 1 cm
Sqaure 1.5 cm x 1.5 cm
Sqaure 1 cm x 1 cm
y = ½ x (quadratic graph)
y = x (quadratic graph)
4 cm x 1 cm
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
x
3
2
2
y = 2x (quadratic graph)
Ellipse3 cm diameterCircle4 cm diameterCircle
Triangle (1, 2, 3 )
2
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 4
10MATHOMAT
TANGENTOn a unit circle,
Tangent of an angle = position of the extended angle arm on the tangent line.A tangent line scale is marked on the right edge of Mathomat Senior, and must be re-drawn as shown before
the tangent of an angle can be read.
1.61.51.41.31.21.11.0
1.61.51.41.3
1.21.1
1.0
The diagram above shows that tangent of 50° = 1.2 (approx.) , or tan 30° = 1.2 (approx.).
tan 50° = 1.2 (approx.)
MATHOMAT
TRIGONOMETRIC SYMMETRY
SPECIAL TRIANGLES
Symmetry properties of the trigonometric function my be determined easily using Mathomat Senior’s unitcircle, which has angles in terms of marked.
The diagram below shows that
These statements may be generalised to find expressions for
Similar expressions may be derived for the tangent function(These tasks are left to the reader)
Shapes 17 and 32 are the ‘special triangles’ commonly used to determine trig values of key angles as shown below.
2H
T P
/2
3/2
2
MATHOMAT
FEATURES OF MATHOMAT SENIOR
MATHOMAT
MATHOMAT SENIOR SPECIFICATIONSName Specifications
1 cosine/sine curve Period 4cm. Amplitude 1 cm
sine/cosine curve Period 8cm. Amplitude 1 cm
sine/cosine curve Period 4cm. Amplitude 2 cm
Circle 2.5 cm diameter
Circle 2 cm diameter
Cylinder Straight sides 2 cm, width 2 cm
Cone 2 cm base, 2.5 cm height
y = a (exponential graph)
Normal curve
Circle 1 cm diameter
Rectangle 3 cm x 2 cm
Parallelogram 3 cm, 2 cm, 30°
Ohombus 2 cm, 60°
Ellipse 4 cm x 2 cm
Equilateral triangle Inscribes within circle 29
Square 3 cm x 3 cm
Triangle (1, 1, 2 ) 3 cm, 3 cm, 45° , 45°, 90°
Sqaure pyramid
Ellipse 2 cm x 1 cm
Parallelogram 3 cm, 2 cm, 60°
y = tan x (tangent graph)
y = x (cubic graph)
Sqaure 2 cm x 1 cm
Sqaure 1.5 cm x 1.5 cm
Sqaure 1 cm x 1 cm
y = ½ x (quadratic graph)
y = x (quadratic graph)
4 cm x 1 cm
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
x
3
2
2
y = 2x (quadratic graph)
Ellipse3 cm diameterCircle4 cm diameterCircle
Triangle (1, 2, 3 )
2
OLM - Mathomat Senior Book redo _Layout 1 25/10/11 8:21 PM Page 4
Sine and cosine curves of various amplitudes and periods.
Accuraterulers.
Prism cluster.
Isometric drawing guides.
Quadratic graphs.
Trig graph scale.4 squares.5 circle sizes.
A complete list follows on the opposite page.
Unit circle and tangent line.
10 graphcurves.
Special triangles (1, 1, √2 and 1, 2, √3).
Three different ellipses.
Cylinder outline.
Pyramid outline.
11MATHOMAT
TANGENTOn a unit circle,
Tangent of an angle = position of the extended angle arm on the tangent line.A tangent line scale is marked on the right edge of Mathomat Senior, and must be re-drawn as shown before
the tangent of an angle can be read.
1.61.51.41.31.21.11.0
1.61.51.41.3
1.21.1
1.0
The diagram above shows that tangent of 50° = 1.2 (approx.) , or tan 30° = 1.2 (approx.).
tan 50° = 1.2 (approx.)
MATHOMAT
TRIGONOMETRIC SYMMETRY
SPECIAL TRIANGLES
Symmetry properties of the trigonometric function my be determined easily using Mathomat Senior’s unitcircle, which has angles in terms of marked.
The diagram below shows that
These statements may be generalised to find expressions for
Similar expressions may be derived for the tangent function(These tasks are left to the reader)
Shapes 17 and 32 are the ‘special triangles’ commonly used to determine trig values of key angles as shown below.
2H
T P
/2
3/2
PO Box 6, Sandown Village, Vic, 3171, AustraliaTelephone: (03) 9796 1177 - Fax: (03) 9796 1832
www.mathomat.com.au
Published by Objective Learning Materials, a business of W&G Education Pty. Ltd. A.C.N. 051 847 637
1
Mathomat Senior has been specifically developed for Sketching andpresentation of work by students from years 10 to 12. Features such as aunit circle and tangent line for trigonometry study, graphing curves and3D soild sketch outline make Mathomat Senior an invaluable aid forprojects and classwork, particularly for topis such as Trigonometry,Geometry & Measurement and Fractions & Graphs.
A technical and creative drawing tool for senior secondary school students.
TEMPLATEMATHOMAT SENIOR
®