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Grade 5 Math

Date post: 05-Dec-2014
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Using technology in mathematics instruction.
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Using Virtual Manipulatives Grade 5 Math
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Page 1: Grade 5 Math

Using Virtual Manipulatives

Grade 5 Math

Page 2: Grade 5 Math

No SMARTboard .. no problem

No Pods .. no problem Use LAN School in the computer lab to monitor

and broadcast!

Use a LCD Projector in your classroom

Page 3: Grade 5 Math

Resources

Web Resources:

·Go To : http://gssd.ca·Curriculum - K-8 Resources·Virtual Math Wiki : This presentation can be found @Virtual Math Manipulative Wiki

·Mike Fulton`s Math Videos - Michelle & Mike worked on grade 5 videos in Feb. and they will be online within the next few weeks (Show Sample)

Page 4: Grade 5 Math

Open with...·Describe ???

Probe further with...• How did you decide ????• What other ways could you do this ????

Evaluate ·Listen for ...·Look for ....

Assessment Connections

??How can you assess students using VManips?

Page 5: Grade 5 Math

Represent and Describe whole numbers to 1 000 000:

Online Resource

All Online resources from this presentation can be found on the Grade 5 Virtual Math Wiki- if you have any vmanips to share please email Michelle Morley the weblink.

Page 6: Grade 5 Math

Using Notebook

Did you know ...

You and your students can use smartboard software even if you don't have a smartboard. The software is available to everyone.

Page 7: Grade 5 Math

N5.1 Represent, compare and describe whole numbers to 1 000 000 within the contexts of place value and base ten system.

Pose and solve problems that explore quantity of whole numbers to 1 000 000

Technology can connect students to real life data: Give this assignment to students in SMART notebook and attachan excel spreadsheet. [Insert- Link - File on this computer]

Page 8: Grade 5 Math

Use websites such as Create a Graph to organize and share the data you collect

This graphing tool can expose students to different types of graphs. Let the students explore the different graphs and decide which graph suits the data.

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N5.2Analyze models of, develop strategies for, and carry out multiplication of whole numbers

Use a Vmanip to Model multiplying two 2-digit using an array

Page 10: Grade 5 Math

Present a problem that involves 2 digit by 2 digit multiplication similar to the following one: "How many weeks old are you?" Ask them to represent the problem with a number sentence. Assuming that most students in grade 5 are 11 years old, expect ‘11 x 52 = ?’. Ask them to use a rectangle to represent the array for 11 x 52. Ask them how we might split the rectangle along place value lines for the number of rows (11) and the number of columns (52). Ask them what a short cut method might look like for figuring out the answer to 11 x 52. Assist as required. Ensure that they understand how each part of the method relates to the rectangle. See below for the method and the corresponding diagram.

Ask students to write the work horizontally as well. Lead them to the method:

11 x 52 = (10 + 1) x (50 + 2). = 10 x 50 + 10 x 2 + 1 x 50 + 1 x 2 = 500 + 20 + 50 + 2.

Ensure they realize where each part comes from in relation to the rectangle model.

Repeat for two other 2-digit x 2-digit multiplication questions.

Or use SMART notebook to capture your lesson - save and use as a review ....

Page 11: Grade 5 Math

N5.2Analyze models of, develop strategies for, and carry out multiplication of whole numbers

Describe mental mathematics strategies used to determine multiplication facts to 81 (skip counting from a known fact, doubling, halving, 9s pattern, repeating doubles or repeating halves)

Online Resource

Page 12: Grade 5 Math

Use Gallery Items such as the hundred to chart to explore number patterns. Did you know that if you pick up a green pen and touch a number the box is green ... pick up a blue pen and touch a number it will be blue. You can also use the highlighter tool on the number chart too!

Search the Gallery

Page 13: Grade 5 Math

N5.3Demonstrate, with and without concrete materials, an understanding of division and interpret remainders to solve problems

Model the division process as equal sharing or equal grouping various models and record the resulting process symbolically

Ask Participants to try the Vmanip ... How could this tool be useful?

Division

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N5.5Demonstrate an understanding of fractions by using concrete and pictorial representation to: ·Create sets of equivalent fraction ·Compare fractions with like and unlike denominators

Create concrete, pictorial, or physical models of equivalent fractions and explain why fractions are equivalent.

Fractions

http://nlvm.usu.edu/en/applets/controller/query/query.htm?qt=fractions&lang=en

Embed weblinks into notebook either: ·the URL or ·into an object

Use SMART notebook to keep your lesson ideas/resources organized

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N5.5Demonstrate an understanding of fractions by using concrete and pictorial representation to: ·Create sets of equivalent fraction ·Compare fractions with like and unlike denominators

Position a set of fractions, with like and unlike denominators, on a number line and explain strategies used to determine the order

Fractions

Page 16: Grade 5 Math

Give yourself a space on the wall instead of having all the students crowd around a desk.

Watch how easy it is to demonstrate an array to the whole class. This instruction can it can lead to great class discussions.

Page 17: Grade 5 Math

N5.5·Demonstrate an understanding of decimal to thousandths by relating to fractions

Make and test conjectures about the relationship of equality of quantities written in decimal and fractional form Virtual Manipulatives can

be used as a whole group demo - in partners - on the computer - in small group on the Sboard or as show and share ... can you think of any other ways?

Fractions

Page 18: Grade 5 Math

SS5.1Design and construct different rectangles given either perimeter or area, or both (whole numbers), and draw conclusions

Construct (concretely or pictorially) and record the dimensions of as many rectangles as possible with a specific area and select, with justification, the rectangle that would be most appropriate in a particular situation.

Work as a whole group with students using concrete geoboards and using the vManips to share.

Page 19: Grade 5 Math

SS5.3Demonstrate an understanding of volumeDetermine the volume of a 3-D object using manipulatives, describe the strategy used, and explain whether the volume is exact or an estimate

Have all the students use Vmanip in a computer lab setting .. let them explore and see what they discover on their own!

Page 20: Grade 5 Math

SS5.7 Identify Create and analyze single transformations of 2-D shapes

Shape Tool

Have students use this Vmanip in a computer lab or Pods and use LAN School to give you a thumbnail screen shot of each student to see if they understand the concept .....

Page 21: Grade 5 Math

SS5.5Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are: ·Parallel·Intersecting·Perpendicular·Vertical·Horizontal

Hold the shift key and click on the face and edges to change the color.

Use this Vmanip as a whole group Demo - No sboard required only a projector! Sometimes it is easier to manipulate a Vmanip with a mouse :)

Page 22: Grade 5 Math

SP5.3Describe, compare, predict, and test the likelihood of outcomes in probability situationsTask:

Show students a simple spinner that has four equal regions, containing 1, 2, 3, and 4 respectively (see example).

* Ask them whether it is impossible or certain that, when the spinner is spun, it will stop at one of the numbers from 1 through 4. Discuss their answers. * Ask them whether it is impossible or certain that, when the spinner is spun, it will stop at the number 5. Discuss their answers. * Ask them whether it is possible that, when the spinner is spun, it will stop at either 1, 2, 3, or 4. Discuss their answers.

Whole group Instruction: Predict and Test -

Page 23: Grade 5 Math

P5.1Represent, analyze, and apply patterns using mathematical language and notions

Describe, using mathematics language (eg. one more, seven less) and symbolically (r +7, p - 7), a pattern represented concretely or pictorially that is found in a chart.

The same Vmanip may be used to represent different outcomes

Page 24: Grade 5 Math

Learn Alberta: can be used a whole group or individual.

Interactive Mathematics Video:

Page 25: Grade 5 Math

Taking Advantage of SMART Notebook to:

Roll the dice

Page 26: Grade 5 Math

Click on the page you want cloned, choose clone page. Each group of students can have a new template, plus you can save the work of all your studentsExtend learning to the whole

class by cloning the page...

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Embedding a weblink into your notebook

Go to website copy URL Insert - Link Click on the Picture

Paste the URLCheck- Launch by clicking Object

Organize your lessons ....

Page 28: Grade 5 Math

Use objects from the gallery - Use the Infinite Cloning tool - Turn concrete manips into virtualMake cumbersome

jobs easy by cloning objects in your lesson.

Page 29: Grade 5 Math

Use SMART Notebook as an Assessment Tool:

Find the Sboard tool icon, select recorder, plug in mic, Hit Red button to record, Square to stop and save.

Page 30: Grade 5 Math

Take picture of students using concrete manips then use the pictures as a Show & Share session in SMART notebook.

To insert a picture: Save your pictures to your computer - open Smart Notebook - Go to Insert- Picture File- Browse for your picture - open

Use your Digital Images

Page 31: Grade 5 Math

Have students create a Math Trail

Ask students to find fractions in the school - Take pictures and create problems based on the images they captured. Share problems with class. Complete the assignment in SMARTnotebook.

To learn more about math trails go to: http://

www.nationalmathtrail.org/

Page 32: Grade 5 Math

Capture Video of your students talking through math problems - Use a Flip Video Recorder or a digital camera.

Page 33: Grade 5 Math

Teacher Created Video Math Trail: This is from one of my Blog Posts: I Love this idea!

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Document Camera

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If you have a blog you can export your SMART notebook lesson into PowerPoint - Upload it to slideshare - and post the lesson on your blog! Great home - to school communication Tool!

Page 36: Grade 5 Math

Please contact me (Michelle Morley) if you have any questions about using technology in mathematics instruction. Email: [email protected]

Or contact your ed. tech coordinator at your school for further support! John or Gary


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