chapter11 lines & planes

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LEARNING AREA/WEEKS LEARNING OBJECTIVES LEARNING OUTCOME TEACHING AND LEARNING ACTIVITIES STRATEGIES 11. Lines and planes in three dimensio ns (2 weeks) :11.1 understand and use the concept of angle between lines and planes to solve problems. (i) identify planes (ii) identify horizontal planes, vertical planes and inclined planes; (iii) sketch a three dimensional shape and identify the specific planes; (iv) identify: a. lines that lies on a plane; b. lines that intersect with a plane; (v) 5.identify normals to a (vi) given plane; Carry out activities using daily situation and 3-dimensional models. Differentiate between 2-dimensional and 3- dimensional shapes. Involve planes found in natural surroundings. Begin with 3- dimensional models. CCTS: -Describing -Interpreting -Drawing diagrams -Problem solving Moral Values: -Respect -Cooperation Vocabulary: -Horizontal plane -Vertical plane -3- dimensional -Normal to a plane -Orthogonal projection -Space diagonal -Angle

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Page 1: Chapter11 lines & planes

LEARNING AREA/WEEKS

LEARNING OBJECTIVES

LEARNING OUTCOME TEACHING AND LEARNING ACTIVITIES

STRATEGIES

11. Lines and planes in three dimensions

(2 weeks)

:11.1 understand and use the concept of angle between lines and planes to solve problems.

(i) identify planes

(ii) identify horizontal planes, vertical planes and inclined planes;

(iii) sketch a three dimensional shape and identify the specific planes;

(iv) identify:

a. lines that lies on a plane;

b. lines that intersect with a plane;

(v) 5.identify normals to a

(vi) given plane;

(vii)determine the orthogonal projection of a line on a plane;

(viii) draw and name the orthogonal projection of a line on a plane;

(ix) determine the angle between a line and a plane;

(x) solve problems involving the angle between a line and a

Carry out activities using daily situation and 3-dimensional models.

Differentiate between 2-dimensional and 3-dimensional shapes. Involve planes found in natural surroundings.

Begin with 3-dimensional models.

Use 3-dimensional models to give clearer pictures.

CCTS: -Describing-Interpreting -Drawing diagrams-Problem solving

Moral Values: -Respect-Cooperation

Vocabulary:-Horizontal plane-Vertical plane-3-dimensional-Normal to a plane-Orthogonal

projection-Space diagonal-Angle between

two planes

Page 2: Chapter11 lines & planes

LEARNING AREA/WEEKS

LEARNING OBJECTIVES

LEARNING OUTCOME TEACHING AND LEARNING ACTIVITIES

STRATEGIES

plane.11. Lines and

planes in three dimensions

11.2.understand and use the concept of angle between two planes to solve problems.

(i) 1.identify the line of intersection between two planes;

(ii) 2.draw a line on each plane which is perpendicular to the line of intersection of the two planes at a point on the line of intersection;

(iii) 3.determine the angle between two planes on a model and a given diagram;

(iv) solve problems involving lines and planes in 3-dimensional shapes.

Use 3-dimensional models to give clearer pictures.