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SESSION 3 AND 4: TWO-DIMENSIONAL SHAPES GENERAL OBJECTIVES: At the end of this unit students will be able to: 1. 2. 3. 4. 5. 6. 7. Know the different types of triangles and their properties. Recognize that the longest side of the triangle are opposite to the largest angle of the triangle. Apply the interior angle properties of the different triangles to work questions involving geometric problems. Know what is a quadrilateral. Know what are the different types of quadrilaterals. Understand the properties of quadrilaterals. Apply the properties of quadrilaterals to do geometric problems. SESSION 3 TOPIC – TRIANGLES SPECIFIC OBJECTIVES VOCABULARY At the end of this unit Scalene triangle: No two students should be able to: sides and two angles are Identify individually the equal. different types of triangles Isosceles triangle: Two sides with 95% accuracy. and two angles are equal (Cognitive/ knowledge) Equilateral triangle: All three sides and three angles are equal. Hence each angle is equal to 60° Acute- angle triangle: Each angle is an acute angle. Obtuse- angle triangle: One angle is an obtuse angle. Right-angle triangle: One angle is a right angle Congruent triangle: Triangles that are identical, equal in area and if it is placed on a triangle of the same it would List the properties of the different types of triangles fix exactly once the corresponding elements are individually with 95% together. accuracy. ( Cognitive/ knowledge) PREVIOUS KNOWLEDGE Students know that there are different types of triangles but they are unable to name them correctly. SUGGESTED RESOURCES -Prepare different Geo- Cards like Scalene triangle, Isosceles triangle, Equilateral triangle, Acute-angle triangle, Obtuse-angle triangle, right-angle triangle and congruent triangle as large as possible using heavy paper. SUGGESTED ASSESSMENT Activity: Students have to draw the different types of triangles and label them correctly. Marks are awarded by the teacher according to the rubric. -Tangram triangle pieces -Tangram triangle pieces Summative Assessment: Given the label drawing of the different types of triangles, students have to list the properties of each triangle. Marks are awarded according to the rubric. Discover in groups of four, that the longest side of the triangles are opposite to the largest angle with 100% accuracy. ( Cognitive/Application) Use the interior angle properties of the different triangle to solve geometric problems individually with 90% accuracy. (Cognitive/Application) -Tangram triangle pieces -Geo Cards of the different types of triangles -pictures of the different types of triangles -Tangram triangle pieces - Pictures of the different types of triangles showing the size of their interior angles Formative Students have to identify the longest side of the triangles given. Mark are awarded according to observation. Worksheet: Students are given diagrams of the triangles with two angles and they need to solve the geometric problem to find the value of the third angle. Students are marked according to the table of specification for their answers that is Knowledge, Algorithmic Thinking and Problem Solving. SESSION 4 TOPIC- QUARDRILATERALS GENERAL OBJECTIVES: SPECIFIC OBJECTIVES At the end of the unit students should be able to: Define what a quadrilateral is individually with 100% accuracy. (cognitive/ knowledge) Label the different types of quadrilaterals individually with 100% accuracy. (Cognitive/Knowledge) Identify the properties of the different types of VOCABULARY Parallelogram: In a parallelogram opposite sides are parallel and equal, Opposite angles are equal, diagonals bisect each other and two pairs of congruent triangles are formed by diagonals. Rhombus: In a rhombus opposite sides are parallel, all four sides are equal,opposite angles are equal, diagonals bisect each other at right angles and four congruent triangles are formed by the diagonals. Kites: Two pairs of equal PREVIOUS KNOWLEDGE RESOURCES ASSESSMENT Formative – provide feedback Orally define what a quadrilateral is. Students can identify the basic two-dimensional shapes that is square, rectangle, and parallelogram -Geoboard -tangram pieces -pictures of the different types of quadrilateral Geoboard -tangram pieces Summative: Students have to draw and label the different types of quadrilaterals. Marks are awarded by the teacher according to the rubric. Summative: Identify the properties of the quadrilaterals individually with 95% accuracy. (Cognitive/knowledge) Use the properties of quadrilaterals to solve geometric problems involving missing angles individually with 95% accuracy. (Cognitive/ Application) adjacent sides, one pair of equal opposite angles and diagonals intersect at right angles. Trapezium: One pair of opposite sides are parallel Rectangles: Opposite sides are parallel and equal, have four right angles and two pairs of congruent triangles are formed Squares: Opposite sides are parallel , all four sides are equal, all four angles are right angles and four congruent triangles are formed by the diagonals -pictures of the different types of quadrilateral different types of quadrilaterals given. Marks are award according to the rubric. SummativeWorksheet: Students are given diagrams of the different types of quadrilaterals with three or two angles and they need to solve the geometric problem to find the value of the third or fourth angle. Students are marked according to the table of specification for their answers that is Knowledge, Algorithmic Thinking and Problem Solving.