hrough the investigations in this

unit you will explore and develop your understanding of the following concepts:

• Manipulation of shape and space takes place for a particular purpose.

• Consolidating what we know of geometric concepts allows us to make sense of and interact with our world.

• Geometric tools and methods can be used to solve problems relating to shape and space.

How will the Math Menu work?

After the pre-assessment, we will have whole class lessons depending on the needs of the class. The remainder of the time will be devoted to guided practice groups and Math Menu time.

Guidelines

•Read the descriptions of the activities before you select.

•Once you choose an activity, you must try to complete it.

•You do not need to complete all of the menu options.

•You must stay on task and allow others to complete their work.

Conceptual Understandings:

How We Express OurselvesOCTOBER - NOVEMBER 2012 LEARNING ABOUT OUR WORLD THROUGH MATHEMATICS MATH MENU

Each activity in this menu will help you explore the concepts we are investigating with a small group, a partner, or individually.

Click here to learn more about this amazing mathematical artist.

Discover The Alhambra

Great Buildings on LineThe symmetrical patterns

Understand these concepts?Challenge yourself and complete the project on

page 2!

WHO WAS M.C. ESCHER?

T

What is theGolden Ratio?

Learn more at Math Is Fun and Mr. Narain’s website.

Math MenuChoose at least 6 activities - you must include 1 from each column and row.

Learning Intentions: Visual Learners

Auditory Learners

Kinesthetic Learners

Understand the common languageused to describe shapes

Make a glossary of key terms to help someone use the language of mathematics to describe 2D and 3D shapes.Need help? Go to BBC Bitesize.

Make a podcast to describe the qualities of 2D and 3D shapes using appropriate mathematical language.

The Geometry Songs

Use the nets to build a set of 3D shapes. Show them to a friend and describe their properties. Record your description using GarageBand or Photo Booth.

Understand the properties of circles

Explore the relationship of a circle’s circumference to its area. After investigating with this tool, do the problems. Create a chart to record your findings.Write an instruction book on how to find the circumference and area of a circle.

Listen to the song, Circles. Complete the online circle problems and check you answers with the key. If you understand how to calculate the diameter, radius, circumference and area of a circle, create a poem that explains the formulae. Recite this poem to a friend or record it and send to your teacher

Make a circle mobile consisting of at least 5 circles. Each circle should be labelled with the radius, diameter, circumference and area. Write the formula for finding the circumference and the area on separate circles.

Understand the relationships between area and perimeter, between area.

View the interactive video on perimeter and area. Click on the activity button (download the pdf and print) then complete. Create a slide show to explain how to find the area and perimeter of different shapes.

Watch the video and listen to the song, ‘Perimeter’. Explore how you would find the area to shapes in the video (use the information here to help you - perimeter & area) and then create a rap or chant (like the Perimeter song) to teach others how to find the area of the different shapes.

Practice finding the perimeter and area of rectangles. How would you find the perimeter and area of different pattern blocks? Create a picture using the pattern blocks and take a photo of it. Embed the photo on your blog and write a post explaining how you would find the perimeter of your picture and how you would calculate different parts of your picture. (Provide the answers either in your post or as an embedded file)

Understand the application of flips (reflections), slides (translations) and turns (rotations) will result in a transformation of a plane figure.

Explore tessellations and transformations at Math Interactives. Download the activity, print and complete it while exploring this site. When finished click on the ‘Use It’ tab and play the decorating game, The Flip.

Watch and listen to the lesson on transformations at BrainPop ( you will need to log in). Create a song or chant that explains the key ideas from this presentation.

Trace a pattern block on a piece of grid paper and then conduct a series of slides, flips and rotations, tracing how each move changes the position of the block. Describe the transformation to a friend and record your conversation.

Understand that 2D representations of 3D objects can be used to visualize and solve problems

Use this interactive tool to create a floor plan for our classroom. Experiment with the space until you find a design that you think will work for our class - meeting our needs.

Design a survey for the students in our class to find out their preferences for the layout of our classroom. Based on your results, prepare a floorplan using this interactive tool that will meet our needs.

1. Complete The Castle activity using blocks. For each design you build, take a photo and record your answers to the questions below the photo.

2. Complete Castles on the Ground.

The Grade 6 Challenge Project

Create a design to satisfy Ms Tessell and you will will the contract.

Just for fun!Play MATHO

Want to test your geometric vocabulary knowledge? Play MATHO - a bingo type game with geometry.

Quilting Race

In this game you try to beat the clock as you complete a symmetrical quilt design.

Tessellation Artist

E x p l o r e h o w t o c r e a t e tessellations with this online tool. Scroll down at the site to see the instructions.

Tessellations in Nature

View the film, Mathematics in the Honeycomb (part 1 & part 2). Where else

can you find examples?

Geometry Games

Visit MathPlay.com to select from a variety of geometry games.

Explore Art & Math

View the animated film, Sky and Water and explore the work of mathematical artists. Is there anyone here you would like to learn more about?

Golf Transformations

Explore transfor mational geometry with this golf game by Math Frog.

Looking for a creative designer who

understands the Golden Ratio and the beauty of

M.C. Escher’s work.

Ms Tessell wants to hire a

designer to create a new room in her home. She wants this room to

reflect the principles of the

Golden Ratio and her love of geometric design. Her favourite

building is The Alhambra and she adores the work of M.C. Escher.

She will award the contract to the

designer who best brings these ideas together in their proposal.

GuidelinesThe room has not yet been built - you may determine the

dimensions.Your proposal must include a

diagram, indicating windows

and doors, with measurements of all elements

You must include drawings to illustrate your design

proposals for the walls and

floorExplanations for the choices

you made in your design

Remember... You must follow the

design process. When you submit your

proposal to Ms Tessell

she will want to see the following:

•Research notes•Plans (mock-ups)

•Revisions

•Final proposal