## Grade 3

#### Angles-2/3

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

**Name of Model**Circle.

**Lesson Structure**Mouse and circle.

**Lesson Content**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.

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#### Introduction to Visual Representation of Angles-1/3

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

**Name of Model**A mouse.

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

**Lesson Content**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.

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#### Angles-3/3

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

**Name of Model**The mouse game looking for the cheese.

**Lesson Structure**Mouse, circle and the visualization of the mouse rotation on the circle.

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

**Materials**Glue stick,mouse and circle.

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#### A measuring tool for comparison of lengths

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

**Name of Model****A measuring tool for comparison of length**

**The lesson structure**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

**Lesson content**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.

**Prior Knowledge**Intuitive identification of right angles.

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#### Polygon activity 3 decomposition and composition 1/2

**Lesson Aims**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.

**Model Name**Polygon activity 3 decomposition and composition 1/2

**Lesson structure**

**Lesson content**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.

**Prior knowledge**.Concepts of sides and vertices in polygon, Parallels side

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#### Polygon activity 3 decomposition and composition 2/2

**Lesson Aims**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.

**Name of Model****A rabbit finger puppet**

**The lesson structure**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

**Lesson content**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.

**Prior knowledge**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.

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#### 授業名：多角形3年生

**授業の目的：**・生徒は紙を折ることで与えられた多角形の属性を理解する。

・生徒は辺と角度によって三角形を認識し理解する。

・生徒は折り紙を使って多角形を作成し、その特性を探ります。

**折り紙のモデル**：うさぎ

**授業内容：**このクラスでは、生徒はモデルの折りたたみ中に発生する多角形の種類を調べます。レッスンの終わりに、新しいコンセプトを学び、準備クラスで学んだコンセプトを繰り返しながら、最終作品がサプライズとして受け取られます

**予備知識：****辺、頂点、平行線、角度の概念を知る**

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#### A quadrilateral FLAG for SIMCHAT TORAH

**Lesson Aims**While constructing the flag the pupils will relate to quadrilaterals.

**Name of Model**A Simchat Torah flag.

**Designer**Paul Jackson

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**Lesson Content**Pupils will relate to the concept of congruence.

**Prior Knowledge**Polygons and quadrilaterals.

**Materials**Two A4 sheets and scissors.

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#### CALCULATING THE PERIMETER AND AREA OF A RECTANGLE.

**Lesson Aims**- 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.

**Name of Model**The puppy on the fence.

**Lesson Structure**According to curriculum.

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

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

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#### Didactic -Perpendicular line and perpendicular side of polygon

**Lesson Aims**- The study of Perpendicular Lines and Perpendicular Sides of Polygons.
- Comparison of angle sizes.
- Investigation of angles and Perpendicular Lines and Perpendicular Sides of Polygons.

**Name of Model**A sweet box.

**The Lesson Structure**The measuring tool,Composition and Decomposition,Polygons 3,Perpendicular Lines and Perpendicular Sides of Polygons.

**Lesson Content**In this lesson the pupils will investigate intersection of straight lines,perpendicular lines and perpendiculars sides of Polygons. The model comes as surprise while learning new concepts and revising previously learnt concept.

**Prior knowledge**.The concepts of Angle, Right Angle,Square and Pentagon

**Materials**Measuring Tool, origami sheets 15×15 cm.

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