P r a c t i s e These activities enable you to put into practice what you have learned in the unit. By doing these worksheets, you will improve your personal, social and learning to learn competence and digital competence. Ga l l e r y This section further develops your knowledge of technical drawing. Some additional information about the use of technical drawing in other areas is also included. In addition, you will also develop your personal, social and learning to learn competence and citizenship competence. Con t e n t The contents of the unit are introduced with examples that show you step-by-step how to draw geometric constructions. These pages are intended to develop your mathematical competence and competence in science, technology and engineering. C r e a t e These activities allow you to apply and to show what you have learned about the subject. By doing these worksheets, you will improve your entrepreneurship competence and cultural awareness and expression competence. Technical drawing I Technical drawing I is organised into seven units, which aim to develop technical drawing skills. Each unit contains the following sections: 7 Re gu l a r po l ygon s B X M C D E Y F A J K GALLERY In nature there are many things that are shaped like regular polygons. One example is the honeycomb that is made by bees. A polygon is a flat shape bounded by three or more segments. It is regular when all the sides and all the angles are equal. Elements of a polygon The elements of a polygon are the sides, vertices, interior angles and diagonals. For example, polygon ABCDEF has these parts: • Sides: AB, BC, CD, DE, EF and FA. • Vertices: A, B, C, D, E and F. • Interior angles: Â, Bˆ , Cˆ , Dˆ , Eˆ and Fˆ. • Diagonals: these are segments that connect two non-consecutive vertices. In a regular polygon, the apothem is the segment that connects the centre of the regular polygon to the midpoint of each side. All regular polygons can be inscribed in a circumference called a circumscribed circumference. Also, a circumference can be inscribed in all regular polygons and the radius is equal to the apothem. This is known as an inscribed circumference. Circumscribed circumference Inscribed circumference A B F C D E d f e m apothem Construct a triangle and a hexagon, given the circumscribed circumference Step 1. Draw the diameter of the circumference XY. Step 2. Draw the perpendicular bisector of the diameter XY. Where it intersects the circumference, label the points A and D. Step 3. Use centre point A and the length of the previous radius. Draw an arc that intersects the circumference at points B and F. Step 4. Use centre point D and the same radius. Draw an arc that intersects the circumference at points C and E. Step 5. Draw the segments AB, BC, CD, DE, EF and FA to form a regular hexagon. Step 6. Join points A, C and E to form an equilateral triangle. Technical Drawing I 51 ES0000000135172 175028_CDNO_DIB_TEC_Niv_I_ESO_Serie blanca_102752.indd 51 29/1/22 13:5356 CREATE Draw a landscape using parallel and perpendicular lines. Then colour it with felt-tip pens. 10 ES0000000135172 175028_CDNO_DIB_TEC_Niv_I_ESO_Serie blanca_102752.indd 10 29/1/22 13:5425 Draw parallel lines. PRACTISE 0 1 2 3 4 5 6 7 8 9 10 60º 0 1 2 3 4 5 6 7 8 9 10 90º 0 1 2 3 4 5 6 7 8 9 10 30º 0 1 2 3 4 5 6 45º Technical Drawing I 7 ES0000000135172 175028_CDNO_DIB_TEC_Niv_I_ESO_Serie blanca_102752.indd 7 29/1/22 13:5435 7 Re gu l a r po l ygon s B X M C D E Y F A J K GALLERY In nature there are many things that are shaped like regular polygons. One example is the honeycomb that is made by bees. A polygon is a flat shape bounded by three or more segments. It is regular when all the sides and all the angles are equal. Elements of a polygon The elements of a polygon are the sides, vertices, interior angles and diagonals. For example, polygon ABCDEF has these parts: • Sides: AB, BC, CD, DE, EF and FA. • Vertices: A, B, C, D, E and F. • Interior angles: Â, Bˆ , Cˆ , Dˆ , Eˆ and Fˆ. • Diagonals: these are segments that connect two non-consecutive vertices. In a regular polygon, the apothem is the segment that connects the centre of t e regular polygon to the midpoint of each side. All regular polygons can be inscribed in a circumference called a circumscribed circumference. Also, a circumference can be inscribed in all regular polygons and the radius is equal to the apothem. This is known as an inscribed circumference. Circumscribed circumference Inscribed circumference A B F C D E d f e m apothem Construct a triangle and a hexagon, given the circumscribed circumference Step 1. Draw the diameter of t circumference XY. Step 2. Draw the perpendicular bisector of the diameter XY. Where it intersects the circumference, label the points A and D. Step 3. Use c ntre point A a d the length of the previous radius. Draw an arc that intersects the circumference at points B and F. Step 4. Use centre point D and the same radius. Draw an rc that intersects the circumference at points C and E. Step 5. Draw the segments AB, BC, CD, DE, EF and FA to form a regular hexagon. Step 6. Join points A, C and E to form an equilateral triangle. Technical Drawing I 51 Listen to the audio files at santillana.es/clil
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