# Lesson plan: Properties of the right triangle

School:

Școala Gimnazială Nr.1 Oțelu Roșu

Teacher:

Feil Heidi

a VI-a B

Subject:

Mathematics-geometry

Unit:

Properties of triangles

Title:

Properties of the right triangle

Type of the lesson:

to learn specific notions about the right triangle through analysis and demonstration

Time:

50 minutes

General skills:

1. Identifying some data, quantities and mathematical relations, in the context in which they appear
2. Processing of mathematical data of quantitative, qualitative, structural type, contained in various information sources
3. Use of specific concepts and algorithms in various mathematical contexts
4. Expression in mathematics-specific language of information, conclusions and solutions for a given situation
5. Analyzing the mathematical characteristics of a given situation
6. Mathematical modeling of a given situation, by integrating acquisitions from different fields

Specific skills:

• Recognition of elements of plane geometry associated with the notion of triangle
• Calculation of segment lengths, measures of angles in the context of triangle geometry
• Use of congruence criteria and properties of particular triangles to determine the characteristics of a geometric configuration
• Expression in symbolic and figurative geometric language of the characteristics of triangles and important lines in a triangle
• Analysis of some geometric constructions in order to highlight some properties of the triangles
• Transposing, in specific language, a given situation related to the geometry of the triangle, solving the obtained problem and interpreting the result

Operational objectives

O1. Drawing right angles, using geometric tools (square, protractor);

O2. Identification and naming of right angles in given geometric configurations;

O3. Identification, naming and representation of right triangles, use of terminology: legs, hypotenuse, sharp angles, vertex opposite a side, side opposite a vertex;

O4. Identification, naming and representation of perpendicular lines in given geometric configurations;

O5. Drawing the right triangle presented by description, notation or image, using geometric tools;

O6. Establishing the congruence of some triangles based on the congruence criteria in solving problems;

O7. Determining the measures of the angles of a triangle under given conditions;

O8. Calculation of segment lengths;

O9. Notification by measuring the connection between the lengths of the sides of a right triangle with an angle measuring 30 °; application of the 30 ° angle theorem

O10. Identification of properties of the isosceles right triangle;

O11. Drawing representation of elements of a right triangle related to angles and important lines;

O12. Argumentation of the approach to solve a problem in which right triangles appear.

Affective objectives:

Oa1: to participate with pleasure and interest in all the proposed activities;

Oa2: to show curiosity and creativity in solving the proposed tasks;

Oa3: to keep attention awake, enough time to achieve the set goals.

Psychometric objectives:

Opm: to draw, to build, correctly, neatly,

Purpose of the lesson (general objective):

Discover the properties of the right triangle;

application of knowledge in various contexts; in order to develop the flexibility of thinking;

Teaching strategy:

1. Methods and procedures: problematization, discovery learning, systematic observation, heuristic conversation, independent work, work with the textbook, explanation, demonstration, exercise, clusters, gallery tour, mosaic.
2. Forms of organization: frontal, in groups.
3. Resources:
1. official: program, planning;
1. material: chalk, blackboard, textbook, problem collection, notebooks, geometry kit;
1. posters (duplexes), compass, marker, colors, adhesive tape, paper gluing substance, worksheets, drawings, geometric tools, relationship sheets and formulas;
1. -time: 50 ‘
4. –              human: the students of grade VI B

Evaluation:

• By oral check
• Verbal assessments
• Systematic observation
• Selfassessment
• -Solving exercises and problems

Type of assessment:

continuous, formative, written and oral;

Bibliography:

1. Textbook for the sixth grade, Dorin Linț, Maranda Linț, Maria Zaharia, Dan Zaharia, Didactic and Pedagogical Publishing House;
2. Mate 2000, Dan Zaharia, Editura Paralela 45;
3. Mathematics, Exercises and problems for the 6th grade, Delfin Publishing House;
4. Mathematics school curriculum, approved by order of the Minister 3393 / 28.02.2017.

Annexes:

Worksheets

LESSON CONDUCT

You could find worksheets in the attached document.