ARC GEOMETRY & MATHS Lesson Plans

<- BACK 

Expand the links below to view Lesson Plans for the ARC Geometry app

Augmented Classroom tools can be used in web browser or on mobile devices. 

To use Augmented Classroom on mobile devices you need to install the ARC apps from Google Play or from iTunes.

EXPLORING 3D SHAPES

Grade(s): 3

Subject: Mathematics

Grade(s): 3

Activity time: 1 lesson (45 mins)

App / EdTech Tools: ARC Geometry mobile app + geometry markers (printed out), 3DBear, Mobile device (tablet or mobile phone)

Additional materials: ARC Geometry Building Blocks or Geometry Workbook, Lego blocks, 3D Models


Objectives:

In this lesson, students will use Augmented reality with the ARC Geometry App and the 3D Bear App, to explore the solids, and to discover and write down the number of faces, edges, vertices and name the solids using the tools and technology.


Activities:


Questions outline:


Author: Amal Abu Saleh


Go to the geometry app 

adding and subtracting

Grade(s): 1-3

Subject: Mathematics & Geometry
Grade(s): 1-3
Activity time: 30 minutes
Apps / EdTech tools: ARC Geometry web app/mobile app+geometry building blocks

Objectives


Activities:


Additional materials:


Author: Christine Danhoff


Go to the geometry app 

3D shapes in everyday life

Grade(s): 4

Subject: Geometry. 3D shapes in everyday life is a CLIL lesson plan about art aimed at 4th graders. Students will learn about 3D shapes using the Geometry App by Clever Books and create some artwork inspired by everyday life.

Through CLIL methodology they will learn some art contents and they will develop their linguistic skills in a foreign language.

Grade(s): 4

Activity time: 3 lessons (45 minutes each)

Apps / EdTech tools: ARC Geometry web app/mobile app+geometry building blocks

Objectives: 

Students will achieve the following goals:

The following skills will be developed during this lesson plan: communication skills, digital competence, problem solving, engineering skills, and cultural expression.

Activities:

1. Exploration and discovery (20 mins)

Students will explore the Geometry App and they will learn the names of the 3D shapes in English paying attention to spelling and pronunciation.

2. 3D shapes in everyday life (25 mins)

Through a brainstorming activity, students will identify 3D shapes in real objects. Each student has to name an object and the whole class will say the shape it has. On the board we will write down as many columns as 3D shapes learnt and below each of them, we will write the objects mentioned.

3. Drafting a sculpture (20 mins)

The students will use TinkerCAD to create a short-scale sculpture that is inspired by something real.

4. Making 3D shapes (25 mins)

Using some templates, students will color, cut, fold and paste the 3D shapes they need to create the sculpture they drafted in the previous task.

5. Building our sculpture (20 mins)

Each student will assemble the three-dimensional shapes to create the sculpture they have planned.

6. Presenting their sculpture (25 mins)

Students will have to present their sculpture to their classmates explaining what it represents and the shapes used for its making.

7. Final assessment

To assess students’ engagement, teachers will use observation to assess the learning process and a rubric to assess the product created.

The criteria established on the rubric are:  


Author: M. Isabel Blanco Pumar


Go to the geometry app 

Geometry - geometric solids

Grade(s): 4

Subject: Geometry in Mathematics. At the end of this class students should be able to recognize 3D solids and their names by identifying the 2D shapes that compose it. In the end they must design and create a painting using different 3D solids. 

Grade(s): 4

Activity time: 2 lessons (45 mins each)

Apps/ EdTech tools: ARC Geometry web app/mobile app

Objectives: 

Activities:

1. Exploration and discovery (20 mins)

The teacher brings the box with geometric solids to class and encourages them to identify the characteristics of each object. Introduce geometric solids through animation videos.

2. Working with 3D figures (25 mins)

Let students continue with the other shape markers - triangle, rectangle, and hexagon. Continue to encourage them to describe the different 2D and 3D shapes using their math vocabulary.

3. Parallelism between “Art” and “Mathematics”  (10 mins)

The teacher must reproduce the work Calmaria II (1929), by Tarsila do Amaral, in an adequate size so that all students can see it.

Organize the group in a circle, so that students can discuss their perceptions of the work, asking if anyone already knows the work or the painter. It would be interesting to bring your biography and present it to the class.

4. Designing a garden (30 mins)

Using the ARC Create App, have students build their own farm. What 3D elements have they selected? Why?

5. Final assessment

The teacher will use a rubric that assesses the following criteria:


Author: Patrícia Santos


Go to the geometry app 

Geometry 3D (Common Core)

Grade(s): 2

Subject: 3D Shapes
Grade(s): 2

Activity time: 1 lesson (45 mins)

App/EdTech Tools: ARC Geometry web app/mobile app + geometry markers
Additional materials: Tablets or mobile phones

Objectives:

Activities:

1. Watch this 3D Shapes video clip with the students.

2. Create a lesson and invite your students in the ARC Geometry App via the join code (if they are on mobile devices) or the join link (if they are using stationary devices). Click on the "Shapes" button, the students will automatically follow you. If they are on mobile devices, make sure that you have the Geometry Markers printed out and ready. Now is the time to distribute them. On the right side, you can see different 3D shapes and students can listen to their names, investigate the vertices, faces, edges and what the 2D network looks like.

3. Discuss each 3D Shape and its vocabulary terms like vertex, face, edge and 2D network.

4. After students are done exploring the app and recording their observations, have printed out objects like dice, a pyramid, a Kleenex box, etc., hold up two signs and ask the students “Which object is a cube?”, etc.

5. When the students are done exploring the app, select the "Shapes Game" to test their knowledge at the end.

Questions outline:

What different kinds of 3D shapes are there?

Additional Ideas (optional):


Go to the geometry app 

WHY ARE WATER WELLS MOSTLY CYLINDRICAL?

Grade(s): 2-4

Subject: Geography, Mathematics, Technology, Coding
Grade(s): 2-4

Activity time:  4 lessons (45 mins each)
App/EdTech Tools: ARC Geometry web app/mobile app + geometry markers
Additional materials: Google docs, CoSpaces, device (phone/tablet/laptop/desktop)

Objectives:

Find a possible answer to the proposed question: WHY ARE WATER WELLS MOSTLY CYLINDRICAL?

An immense amount of water exists in the ground below your feet and people all over the world make necessary use of it. Building wells is one way of accessing this valuable life-sustaining resource.

Through the group work, children need to find a possible answer to the proposed question, students will be encouraged to work collaboratively to present their working/thinking processes. This will enable them to come to their final conclusion.

Activities (part 1):

Activities (part 2):

A revision of the relevant mathematics background presented by the teacher. Topics covered:

Activities (part 3):

Again in their groups, students will investigate the mathematical properties of a triangle-based, square-based and circle-based prism.

In order to make a comparison, students will be encouraged to standardise the measurements of the 3 different prisms. For the purposes of this investigation the bases of the prisms will be an equilateral triangle, a square and a circle. The well will be defined to a specific depth and a limited surface area at ground level.


Using the diagrams of the 3 prisms provided, derive the formulas for calculating the total surface area and the volume of each prism.

TSA (total surface area) = 2 × area of base + perimeter of base × height of prism

Students should be encouraged to write the formula for the Total surface area (TSA) of the 3D solids by unraveling the 3D models. Unwrapping the 3D models can be visualised by using ARC Geometry (not for circular prism) and/or Geogebra.

If you are using the Geogebra 3D app, follow the steps to unwrap the cylinder:

Other solid objects can be unwrapped by checking this link

Investigate the ideal shape for a well that will be drilled to a depth of 120m in order to comfortably reach the water table and that can occupy an area of up to 4m² . The well wall will be 20 cm thick.

GET PDF WITH VISUALS


Authors: Anni Kumar and Lucille Dunne


Go to the geometry app 

Geometry 2D (Common Core)

Grade(s): 1-2

Subject: 2D Shapes
Grade(s): 1-2

Activity time: 1 lesson (45 mins)
App/EdTech Tools: ARC Geometry web app/mobile app+Geometry Markers
Additional materials: Tablets/mobile phones/Laptops/Desktops/Chromebooks

Objectives:

Activities:

Questions outline:

Additional Ideas (optional):


Go to the geometry app 

3D Shapes a Game of Building Blocks

Grade(s): 6

Subject: 3D shapes, CleverBooks Blocks
Grade(s): 6

Activity time: 1 lesson (45 mins)
App/EdTech Tools: ARC Geometry web app/mobile app + geometry markers, CleverBooks Blocks mobile app/web app in the Augmented Classroom

Additional materials: Tablets or mobile phones, desktops or laptops; internet connection enabled for multi-user interactivity

Objectives:

Activities:

1. Discuss the game of Tetris and what the different pieces are called with the class

2. Let the students go to the CleverBooks Blocks App and have them play the Tetris game to figure out how the blocks fit in their place.

3. Give the students a print-out of different Tetris shapes to cut out and fold into a 3D shape. Have students answer the question: What shape is it?

Questions outline:

Additional Ideas (optional):


Go to the geometry app 

EXPLORING 3D GEOMETRY

Grade(s): 2

Timeframe of activity: 45 min

Subject: Mathematics, Shapes, 2D, 3D, three-dimensional shapes

Grade(s): 2

Activity time: 1 lesson (45 mins)
App/Tech Tools: ARC Geometry web app/mobile app + geometry markers (printed out)


Objectives:

     

Activities:

Questions outline:


Additional Ideas (optional):

🌕 Breakout Edu Games - Digital and Kit Games

🌕 Gimkit.com

🌕 Seesaw Activities - Community Library

🌕 Google Activities -

🌕 Sort 2D and 3D Shapes

🌕 Sort 3D Shapes

🌕 Find 3D Shapes in Our World -Add images or take pictures to add to slides


Author:  Christine Danhoff, USA


Go to the geometry app 

Sphere, Circle, Radius, Diameter

Grade(s): 6

Subject: Sphere, Circle, Radius, Diameter

Grade(s): 6

Activity time: 1 lesson (45 mins)

App/EdTech Tools: ARC Geometry web app/mobile app + geometry markers

Additional materials: Tablets or mobile phones, desktops or laptops; internet connection enabled for multi-user interactivity

Objectives:

Activities:

1. Discuss the differences between a sphere and a circle (3D vs.2D).

2. Create a lesson and invite students in the ARC Geometry App via the join code (if they are on mobile devices) or the join link (if they are using stationary devices). Click on "Shapes", the students will automatically follow you. Students can click on the sphere to see what it looks like, then have them tap on the cylinder.

3. Once they click on the cylinder, click on the i button in the upper right hand corner. This will enable you to see/learn what a radius and diameter is and how to find it

4. After students are done exploring the app, have them look around the room to find different cylinders and have them measure and record what the radius and diameter is.

5. Compare measurements with the class.

Questions Outline:

Additional ideas:


Go to the geometry app 

AUGMENTING GEOMETRY

Grade(s): 7

Subject: Cards for geometrical shapes + mathematical rules
Grade(s): 7

Activity time:  1 lesson (45 mins)
App/Tech Tools: ARC Geometry web app/mobile app + geometry markers (printed out)
Additional materials: CleverBooks Geometry Workbook

Objectives:

 

Suggested questions:

Activities:

a) the leader of the first group gets the circle shape;

b) the leader of the second group gets the triangle shape;

c) the leader of the third group gets the hexagon shape.

Number of vertices / number of faces / number of edges / number of angles

Questions outline:


Additional Ideas (optional):

Let the students of each group make a video recording while they use the app, explaining their corresponding shape/solid to the rest of the class.

 

Resources:

Links to videos:

●        https://youtu.be/utuIf3xZx3M

●        https://youtu.be/6RGXaCpEtks

●        https://youtu.be/9_ITK6saFdU

 

The student Leader (Ola ) explaining the ARC Geometry app

●        https://1drv.ms/v/s!At5_v2zU3pSRgz0OprGtFxqhRJly


Author: Zena Saleh Mahdi


Go to the geometry app 

Fractions

Grade(s): 4

Subject: 3D Shapes and Fractions

Grade(s): 1-2

Activity time: 1 lesson (45 mins)

App/EdTech Tools: ARC Geometry web app/mobile app + geometry markers

Additional materials: Tablets/mobile phones/Laptops/Desktops/Chromebooks

Objectives:

Activities:

Questions outline:

Additional Ideas (optional):


Go to the geometry app 

Gamified Maths Test

Grade(s): 4-6

Subject: 2D and 3D Shapes, Multiplication, Division, Subtraction and Addition

Grade(s): 4-6

Activity time: 1 lesson (45 mins)

App/EdTech Tools: ARC Geometry web app/mobile app + geometry markers

Additional material: Tablets or mobile phones, desktops or laptops; internet connection enabled for multi-user interactivity

Objectives (using the app):

Activities:


Go to the geometry app