The pupils will construct a circle using the measuring tool  and marking dots at equal distances.

Circle.

Mouse and circle.

This is the second lesson in learning the concept of angle as a measure of a rotation. The following lesson will make use of the mouse and circle of the the two previous lessons to fully understand the dynamic approach of folding in order to see the formation of an angle as a process of rotation. It is suggested that the pupils make several circles.

The first lesson for the learning of the concept of angle using the mouse shaped made in the lesson as an aide.

A mouse.

The mouse,circle and angle as a measure of rotation.

This lesson is the first of three lessons teaching the concept of angle. Through the folding process the pupils have a dynamic experience of this concept. The idea of measure of rotation as a method of understanding the concept of angle is applied with moving the mouse shape clockwise. This method and definition of an angle as a measure of rotation is understood while creating the angle by the rotational movement. Two mice are folded-one to take home and the other for the next lesson on the subject of angle.

Pupils will recognize that the size of an angle is determined by the measure of rotation in relation to a given segment line.

The mouse game looking for the cheese.

Mouse, circle and the visualization of the mouse rotation on the circle.

This lesson is the 3rd activity  demonstrating the concept of angle as measure of rotation.

Glue stick,mouse and circle.

The pupils  will use the measuring tool for comparison of lengths and identification of right angles.

A measuring tool for comparison of length

Triangles activity A,  Triangles activity B , Polygon activity A, Polygon activity A, Polygon activities B 1/2 ,  Polygon activities B 2/2 , Polygon activity C , A measuring tool for comparison of lengths , Quadrilaterals A , Quadrilaterals B: Square & Rectangle – same and different, Quadrilaterals C: Square & Rectangle Line of reflective symmetry 1/2, Line of reflective symmetry 2/2,  , Lines of symmetry in quadrilaterals, Translation of shapes

Pupils will identify right angles intuitively using the measuring tool.

Pupils will identify right angles in various orientations.

The measuring tool should be folded  and kept in the pupils workbook at the conclusion of each lesson.

Intuitive  identification  of right angles.

The pupils during the folding process will identify polygons according to stated properties. The pupils will learn how to form different polygons with their sheets and investigate the various properties of the folded shapes.

Polygon activity 3 decomposition and composition 1/2

The decomposing and composing activities allow the children to create various polygons during the folding process and with the combination of several triangular folded shapes. With a series of questions and answers during the folding process the pupils are able to deepen their geometric reasoning in a dynamic environment.

      .Concepts of sides and vertices in polygon, Parallels side

The pupils will fold and identify shapes according to their properties.

The pupils will use paper folding in order to make geometric shapes and investigate their properties.

A rabbit finger puppet

Triangles activity A,  Triangles activity B , Polygon activity A, Polygon activity A, Polygon activities B 1/2 ,  Polygon activities B 2/2 , Polygon activity C , A measuring tool for comparison of lengths , Quadrilaterals A , Quadrilaterals B: Square & Rectangle – same and different, Line of reflective symmetry 1/2, Line of reflective symmetry 2/2, Quadrilaterals C: Square & Rectangle , Lines of symmetry in quadrilaterals, Translation of shapes

In this lesson the pupils investigate polygons that are formed during the folding process. There is a surprise at the end of the lesson.  The pupils learn new concepts and refresh their previous learning.

If during the folding process there are cases of inexact folding by some of the pupils, then these cases will be used to identify differences between the polygons and their properties. The pupils will also learn the concept of polygon sides and vertices.

While constructing the flag the pupils will relate to quadrilaterals.

A Simchat Torah flag.

Paul Jackson

©

Pupils will relate to the concept of congruence.

Polygons and quadrilaterals.

Pupils will recognise perpendicular lines and draw perpendicular lines.

The swimming fish.

The measuring tool,Composition and Decomposition of Shapes, Polygons 3,Perpendicular  lines and sides of polygons.

In this lesson the pupils will investigate perpendicular and intersecting lines. At the conclusion of this lesson the final model will be a surprise while learning new concepts and revising previously learnt geometrical concepts.

Angles,right angle,sides of a polygon.

• The pupils will identify the properties of reflective and rotational shapes of various quadrilaterals.
• The pupils will discover the order of symmetry of various quadrilaterals.
• The pupils will identify the quadrilaterals having reflective or rotational symmetry  or both symmetries.
• The activities will aid the pupil in understanding the concept of rotational symmetry.

A puppy similar to the model of lesson 1/2 on rotational symmetry.

According to the curriculum.

The folding process at different stages enables the pupil to learn about the concept of rotational symmetry in additional quadrilaterals.

• The pupil will learn the measurement units cm and square cm using the units to measure perimeter and area of shapes.
• The pupil will learn how to computate perimeter and area of a rectangle.
• Computing perimeter and area of composite shapes made from rectangles.
• Computing of areas of objects in the environment.
• Computing maximum areas of shapes with given perimeter.

The puppy on the fence.

According to curriculum.

Using square grid paper to cut polygons of 36 square cm area and investigating perimeters of these shapes.

2 sheets of squared grid origami paper 12cm x 12cm