Showing posts with label fractions. Show all posts
Showing posts with label fractions. Show all posts

Tuesday, June 17, 2014

Tech Tips Tuesday

Exploring Fractions with iPads


This week I thought I would share some simple ideas for using iPads to explore fractions. The first session uses Notability to compare fraction size. The second session uses Explain Everything to explore fractions of a group.

Comparing Fraction Size
In this session, students are exploring a problematised situation involving fairy-bread (bread and butter with sprinkles on top). I told my students that my son loves fairy-bread, and that I was offering that he could have 1/4, 2/4, 1/8 or 4/6 of a slice of fairy-bread. My students needed to work out which of these would be the best deal for my son. I demonstrated how this could be worked out by drawing the slices of bread. I pointed out the need for the slices of bread to be the same size, and the pieces on each slice to be of equal size. I modelled how this could be done on the interactive whiteboard. I then gave students a new set of fractions to compare.
Students were given iPads and a stylus to work through their thinking. While I gave them some freedom to explore how to use Notability to solve this, and to discuss their strategies with friends, teachers who want to explicitly teach could follow the following steps:
  1. Create a new Notability file and name it something suitable eg. Fairy-bread Fractions by tapping on the heading which says Note [today's date]
  2. Tap on the + symbol and select "Figure" from the drop-down menu.
  3. Tap on the first symbol and select the square shape from the drop-down menu.
  4. Make a square shape (to represent the fairy-bread). Tap "Done".
  5. When the square shape has handles on the corners, select "Copy" from the options above.
  6. Tap and hold on the screen until "Paste" is given as an option. Paste as many times as necessary. (In my case we used 4 slices of fairy-bread).
  7. Again, when one of the square shapes has handles on the corners, select "Edit".
  8. Tap on the first symbol and select the line from the drop-down menu.
  9. Draw lines to divide the square to match the fraction. 
  10. Tap the first symbol and select the squiggle from the drop-down menu. Colour/shade the required fraction. Tap "Done".
  11. Repeat this with the other squares.
  12. Tap on the pencil tool and use finger or stylus to label the fractions.
  13. Circle the fairy-bread fraction that is largest
  14. Some students are selected to share their work using AirPlay on the interactive whiteboard.
What I liked about this:
While this work could quite easily be repeated with pencils and paper, I like that this task supports students to develop skills in creating shapes and using technology to divide spaces equally and shade with (their new) styluses.


Fraction of a Group
In this session, students are using counters to explore fractions of a group and recording their thoughts using Explain Everything. Students took 24 plastic counters of a variety of colours and used iPads with styluses.
  1. Create a new Explain Everything file by tapping on the + symbol, and save it as something suitable eg. "Fractions with counters" by tapping on the folder symbol in the bottom toolbar (next to the house).
  2. Tell students to divide the group of counters in half. Demonstrate.
  3. Students take a photo of their counters by tapping on the + symbol in square on the left toolbar, and then selecting "New Picture". If they are happy with their photo, they select "Use Photo". If they are happy with the image as is they select "Done", if they need to crop it, they can use the crop tool to select what they want to keep before selecting "Done". The image can be resized with pinch to zoom and moved to a suitable position on the page.
  4. Students write "1/2 of 24 is 12" using their stylus and the pencil tool.
  5. Students press the red circle to record their audio (and drawing if desired) and explain what they have done in their own words.
  6. To add a new slide, students tap the + symbol and then repeat the previous steps with a new fraction.
  7. Repeat with 1/4, 1/8, 1/3, 1/6.
  8. Some students are selected to share their work using AirPlay on the interactive whiteboard.

Extension: If desired, students could then look at the colours of counters, sort them and then create slides that describe the fraction of each colour used.

Here is a sample of student work that one of my students was willing for me to share:

 What I liked about this:
Students were able to use the language to explain what they have done with their counters. They also created a pictorial example and a written number sentence. At the end of the lesson I watched these videos and could see the students who had really grasped the concept, and those who would need further follow up. It was useful to hear the language students were using and it made me realise how few were actually describing this process in terms of fractions when recording their audio. While many had the right pictorial and written response, they tended to say "I had 24 counters and divided them into 3 groups," which while accurate, is slightly different to "I had 24 counters and divided them into thirds." It is good to see that they are making the connection between these ideas, however I hope that they CAN use the fraction terms as required. I would try this again with further emphasis on how we can describe the process using fraction terms.

Friday, May 30, 2014

Friday Fun

It has been quite some time since I wrote any Friday Fun posts. Generally, my school has had other ways to share learning with families, thus I haven't had time to double up. At my current school, I started writing up weekly reflections for families, which highlight the main learning in the grade level, some class specific items, information about events coming up, and some snapshots. This takes a bit of effort to put together each Friday, and needs to be left fairly broad in order to cater for all Year 3 classes. When I do Friday Fun posts, I like to add more detail, and give a better sense of the task, its purpose and how we went about doing it. In doing so, I hope to make it interesting for students and their families, as well as the teaching community. I make no promises in terms of whether this will return as an ongoing feature, but I thought I would give it another go this week at least!

Reconciliation Week
This week we launched into our new Inquiry unit, "Why Say Sorry?" The central idea of this unit is that Indigenous culture changes over time. Given that Reconciliation Week is this week, it seems very good timing on someone's part - though I think there was quite a bit of luck involved this time! 

On Monday I read Idjhil by Helen Bell to my class. This story shows the connection Indigenous Australians have with the land and tells something of the impact of European settlement in terms of loss of land and the stolen generation. I chose this narrative to give students a glimpse of these concepts through the eyes of a boy of their age. 
Once we had finished reading, we used a modified version of the thinking routine "Step Inside". Students imagined they were Idjhil and wrote down the things they thought he knew and believed. They then wrote down the things they thought he cared about. A second column labelled "What makes you say that?" prompted students to give evidence from the book for their ideas. I moved around the room marking student work, and those who finished early glued their sheet in and illustrated the border with symbols and images that were important to Idjhil. 
To conclude the lesson - we played "Hot Seat" where one student took on the role of Idjhil, and others asked him questions. It took a few questions before everyone engaged in what was happening, but by the end we were getting some well thought out questions. 

On Tuesday we read Walking for Reconciliation By Beth Hall. This followed on nicely after our story of Idjhil, and helped students to gain a better understanding of what Reconciliation is about and why it is necessary. We followed this reading with another thinking routine called Making it Fair: Now, Then, Later: Finding Actions. We talked about the stolen generation and students discussed how things could have been done differently in the past to make things fair, what we can be doing now, and what could be done in the future. Students used Google Docs on the desktop computers to record their ideas. I was a bit frustrated by some of the nonsense I got when students were contributing anonymously and had to keep on top of everyone to ensure they weren't erasing each other's ideas.

On Wednesday we looked at our Google Docs list (teacher edited) as a class, and everyone chose one idea that they would like to expand on. They wrote their individual responses in their Inquiry books and wrote the steps that would need to be taken in order for the plan to be enacted. These ideas were shared with the class and we sorted our ideas into things that could be done now, and things that could be proposed for the future - both for the school and for our city.

On Thursday students worked in teams to put forward their proposals. One group focused on writing a letter (using Google Docs simultaneously) to our local government about how we would like our city to celebrate at NAIDOC week, one focused on a fundraising proposal for our school and two focused on proposals to our SRC. The ones for our school used Explain Everything on iPad as we felt that a video presentation would be more appealing to the student audience.

On Friday I gave feedback to students and helped them to edit their proposals. I still feel that some need a little reworking to create a more professional product, however I'm impressed with the quality of their efforts and technical ability.

Maths
This week students learnt how to work out their three times tables mentally by taking the double and adding one more group. Students practised their three times with a friend. We then worked on times tables using an erasable multiplication chart and songs from the Mathletics website. Some students were extended to multiply two-digit numbers by three, and also to investigate the divisibility rules for 3. We will continue with this next week.

We also returned to some fraction work that we began earlier in the term. Students practised writing fractions along a number-line. In our computer time, students completed fractions activities from Mathletics including Rainforest Maths.

Literacy
We revisited Idjhil by Helen Bell, and discussed:
  • What was the author's purpose?
  • What does she want us to take away?
Students then wrote their personal response in their books using the prompts:
I think the author wrote this to...
I learnt...

It was definitely a busy week, particularly with parent/teacher interviews in the afternoons and planning for school camp. I look forward to seeing how things progress next week, particularly as we further explore our Inquiry unit of work.

Sunday, May 2, 2010

Friday Fun - 30/4/10

Term 2 started this week and it was nice to get back into things with a short week. Here are some of the highlights.

Fun This Week

Anzac Day Assembly
On Tuesday afternoon the Year 5/6 students hosted a special assembly in recognition of Anzac Day. The proceedings were very respectful and students maintained a very solemn attitude throughout.

Antonyms
We taught students about antonyms (more commonly thought of as opposites) and encouraged students to think of words that pair up. We had a cardboard jigsaw for students to use to extend this learning, and also found a couple of online games to practice pairing antonyms. One is at Do2Learn and another more complex one can be found here.

What's in the Box?
This term Year 2 students will be exploring different materials and considering their properties and how they may be changed. We began by presenting them with eight different items in shoe boxes. They reached into the box and felt the object and then wrote down words to describe the properties they identified. We used the following worksheet to record the investigation. Items we used included: glass, wood, concrete, rubber, aluminium, plastic, plasticine, and styrofoam.

For 2P and 1/2Rs art lesson we played with tones, textures and fractions to create an abstract piece of artwork. Students were given three coloured squares - black, grey, and white. They cut one of these in half creating two triangles; one in half creating rectangles; and one in quarters (squares or triangles). They used scrunched newspaper to splotch a large sheet of purple paper with yellow paint (for the background). I also gave them some strips of crepe paper streamers to twist or fold into lines. Students then added all their bits to the purple paper - creating a picture or pattern if desired or placing in an abstract design.

Friday, May 15, 2009

Friday Fun - 15/5/09

It has been a great week - productive with a sprinkle of fun. I've been feeling good as I've been getting back into my morning run which seems to do wonders for managing stress! Miss Eschauzier and I did a lot of team teaching throughout the week which meant we could do more targeted teaching.

Story Writing
This week students in my literacy group worked with Miss Eschauzier to determine features of quality writing. In small groups, they read books that have been nominated for awards over the years and considered elements of characterisation, plot, and language. As a class, they then put together a Kidspiration mind map to organise their ideas. Students then did a self-evaluation of their own writing and considered areas to work on further.Miss Eschauzier introduced a planning tool we developed for writing stories. Students used this for planning new stories.
Indigenous Australians Project Groups
On Monday students decided who they would like to share a cabin with at camp. We rearranged the desks in the classrooms so that they could sit in these groups during our Integrated Inquiry lessons to work on a project together. The task is for students to research the history, culture and traditions of Aboriginal Australians from a particular region and present the information digitally (audio, video, PowerPoint Presentation, Museum Box or other as negotiated). These digital products will then be stored on our My Classes page so that students can explore the work of their peers and reflect on the similarities and differences between the regions.

As a group we created a rubric that will be used to grade students. I provided some books that I borrowed from the local library and we arranged for some extra sessions in the computer lab. Students have made a great start to the task and are learning a lot about how to research in the process. We taught students where and how to look for information that is useful and relevant. We also explained about the copyright licensing surrounding online images and showed students how to find pictures they can use and how to give appropriate attribution.

Fractions and Decimals
In Maths this week we explored Fractions and Decimals using a video and one of the manipulatives on Math Playground. Students completed drills adding and subtracting fractions with the same denominator using worksheets from Math Drills. We also used MAB blocks to represent decimals and played with a range of fractions games and activities.

Peer Support
Our Year 5/6 students have been leading mixed-aged groups through activities to explore issues around bullying. These lessons are supplemented by lessons in home classes in alternate weeks. This week we discussed issues around bullying and students made this Y chart about how bullying looks, sounds and feels:
For more Friday Fun, click here.