Thursday, 12 February 2015

Designing a CLIL didactic unit

In this first post I am going to use a template by Isabel Pérez, where I have describe the design of a CLIL didactic unit.
The unit I have chosen is "Plane geometry", in the first level of secondary school, 1º ESO.

The word document is here.



Template to design a CLIL didactic unit

Subject: Maths                                                                                    Teacher: Nuria Piñol Ferrer

Title of the Unit: Plane geometry                  Course / Level: 1st of Secundary Education

1. Learning outcomes
 / Evaluation criteria
-       Identifying different types of lines, according to its position in the space.
-       Identifying the different positions between a circumference and a line and the parts of a circumference.
-       Identifying angles and estimate angles in: complementary angles, supplementary angles, opposite angles or angles with parallel sides.

-       Recognize, draw and describe polygons and its parts in our surroundings.
-       Measure/estimate relevant parts of triangles: height and area.
2. Subject Content
-       Points and straight line
-       Angles: kinds, relation between angles
-       Circle and circumference: concepts and parts of them
-       Position of a straight line and a circumference
-       Regular polygons: parts of them
-       Classification of triangles
-       Height of a triangle

3. Language Content / Communication
Vocabulary

Lines: Point, straight line, angle, line, ray, segment, parallel lines, perpendicular lines, intersecting lines, coinciding lines

Angles: vertex, sides, degree, acute angle, obtuse angle, straight angle, reflex angle, full angle, right angle, opposite angles, complementary and supplementary angles

Circumference: circle, centre, radius, diameter, chord, arc, tangent, semicircumference, secant, exterior

Polygon: centre, radius, apothem, square, rectangle

Triangle: Right, equilateral, isosceles, scalene, acute, obtuse, leg and hypotenuse, height, base
Structures

Present simple, present continuous
Discourse type
Descriptive and explicative discourse
Language skills
Listening: to the teacher and the rest of students and videos
Speaking: to explain their work
Reading: through the websites where some information is given
Discussing: when working in groups and defending their ideas
4. Contextual (cultural) element
Buildings, sculptures, geometric art, op art, etc.: London eye (big wheel, circumference), English flag (perpendicular lines, triangles), the Pentagon building, etc.
Kaleidoscope
5. Cognitive (thinking) processes
(Bloom taxonomy)
Creating activities: Webquest and evaluating activity
Analyzing activities: Second activity, Webquest
Applying activities: First activity, Second activity, Webquest, ESL video
Understanding activities: First activity, Glogster, Webquest
Remembering activities: Webquest
6. Activities
1st Act. Points and lines

Glogster (circumferences and types of angles)

2nd Act. Angles I  and II

Webquest (regular polygons and triangles, and height)

ESL video (regular polygons, angles)

3rd Act. Evaluating

7. Methodology
Organization and class distribution / timing

Timing: 6 sessions (1st act. One session; glogster half a session and 2nd act. One and a half sessions; webquest one and a half session; ESL video half session; Act. Evaluating one session)
Class distribution: pairs or groups of 3 people.
Resources / Materials

Intelligent board
Computer
Notebook

Key Competences
Linguistic communication competence, mathematic competence, artistic and cultural competence, learning how to learn competence, Treatment of information and digital competence, Self autonomy and initiative
8. Evaluation (criteria and instruments)




Puedes usar este modelo de plantilla con la siguiente licencia.  



 

Monday, 2 February 2015

Didactic Unit: Plane geometry (1st Activity: Pointing a map)

In this first activity we are going to revise two concepts you already now from Primary school: Points, lines, segments and rays.  If you need to revise the concepts see these videos about points and lines.

1st Activity:
Here you have a map of your town, now draw a line segment, a line, a ray and one or more points. Use different colours and label each colour by the kind of object you are drawing.



Didactic Unit: Plane geometry (Glogster: Circumference and angles)

In this session we are going to study the parts of the circumference and the angles we can trace in a circumference, as well as types of angles and how estimate different angles.


Sunday, 1 February 2015

Didactic unit: Plane geometry (2nd activity: angles estimation)

Angles: Complementary angles, Supplementary angles, Opposite angles and angles with Parallel sides.




In this activity we are going to learn how to estimate angles knowing only another angle that it is related with the first one.


Help Mario to save Damsel. For that, estimate how many degrees have every angle in the following crossroad.



For this  activity, you can use the following links that will help you to know how to estimate the angles:

Saturday, 31 January 2015

Didactic Unit: Plane geometry (Webquest: Regular polygons)

A Journey through Regular Polygons





Introduction
Do you know how many sides an octagon has?  Do you know what common, everyday road sign is the shape of an octagon?  What about a heptagon?  How many sides does it contain and what are the sums of all of its angles?  If one or all of these questions stumps you, well, they should J; you have yet to take Geometry!
In this WebQuest, you are going to search and seek out numerous types of regular polygons.  [To start you off, I will define a polygon for you:  A closed figure formed by three or more line segments that do not intersect other than at the vertices.]  You are also going to be able to find out the sums of the angles of various polygons as well as construct your own polygons.  Are you up to the challenge of discovering what types of polygons exist, what types of angles they have, be able to construct your own polygons?  It is now up to you to discover the answers to these questions.


The Task

In this WebQuest, you are going to learn all about regular polygons.  You are going to search through various websites to find information about various regular polygons.  The things that you are to be looking for:
  • Definition of a polygon and regular polygon
  • Names of several types of regular polygons
  • The sum of the angles of certain regular polygons
  • For a regular polygon, the measure of each angle
  • The number of diagonals that can be drawn from the vertices of any regular polygon
  • The number of triangles formed by drawing diagonals from the vertices.
  • Definition of a triangle and names of several types
  • Measure of height of a triangle

The Process

1st Activity: Regular polygon, its parts

Step 1.        The following link contains a lot of information about polygons. However, all I want you to get from this website is the definition of polygon and regular polygon, convex and concave polygon and its parts (vertex, side, diagonal, interior angle, exterior angle).  The site can be used to help you on the other parts of this WebQuest. 
Step 2.        For a more detailed explanation of convex and concave polygon, you can also watch this video: https://www.youtube.com/watch?v=sWgHtiTSywc
Step 3.        Go to this link and draw a convex and concave polygon. Copy your polygon and  paste it below:

Convex polygon
Concave polygon


Step 4.        Go to this other link and read more about the parts of a polygon.

2nd Activity: Names of several regular polygons

In this activity you will have to fill the chart located bellow.
Step 1.        Please click here.  In this link, find the name of the figures with the given number of sides and the sum if their interior angles (also called sum of angles).  Once you find this information, put it in the chart.  You must scroll down to view the names of what you are looking for.

This next set of instructions are designed for you to find the number of diagonals that can be drawn from the vertices of any regular polygon, the number of triangles created when you draw these diagonals, the formula for finding the sum of the interior angles of a polygon, and the measure of each of the angles in a regular polygons.
Step 1.        Click here to determine how to find the sum of interior angles of a regular polygon.
Step 2.        Using the above website (again, found here), interpret from the example given how to determine how many lines can be drawn from a given vertex for a given regular polygon.  The example this website deals with a pentagon.  With a pentagon, choose a vertex O (the definition is on the website) and then connect this vertex to all of the other vertices using a single line to connect two vertices.  Doing so will result in a pentagon having 4 lines connecting all of the vertices: OA, OB, OC, OD and OE (where A, B, C, D and E are the labels for the exterior angles).
Step 3.        Using the following website, find the Java applet that shows how many triangles are in each polygon.  Use the more and less buttons which are found under the Number of Sides located on the right of the page.  

Now, look at the following chart below and fill it.
Regular Polygon Chart
Name of Regular Polygon
Number of Sides
Number of Lines from any Vertex
Number of Triangles
Sum of Interior Angles
Measures of each Regular Angle
1.
3




2.
4




3.
5




4.
6





5.
7




6.
8




7.
9




8.
10




9.
n-gon










 
















3rd Activity: Triangles
Step 1.     First, use this web to analyse the different types of triangle, depending on its angles and depending on its sides.
Step 2.     Find a triangle of each type in this link and copy it here:











4th Activity: Height of a triangle and apothem of a polygon
Step 1.     Finally, use this link to learn what the height of any triangle is and for what is useful.
Step 2.     Measure the height of every triangle you see in the English flag (use a just a rule to answer the question):



Step 3.     Go to this link, and learn what is the apothem of any polygon. And fill in this table.
Apothem of any polygon
Polygon
Side
Apothem
Hexagon
12

Square
12

Pentagon
5



You can find this webquest in .doc here.