Early Fractions Webinar hi everyone welcome to the early fractions webinar we're going to work through some great activities with mythology I'd like you to start by just typing your name in the chat pod and just kind of let us know where you're from and as you're doing that I'll just kind of go through a little bit of housekeeping as we get started so we've put you in a listen-only mode just for a better quality sound but you can type any of your questions in the chat box at any time during the session and you'll find the chat box in the top left hand corner it says chat there if you don't see it you can just hover around and it will you'll be able to open up that box for yourself questions will be answered mostly at the end we have some what we have Miranda monitoring the chat as we go and any questions we don't get to throughout the webinar one of our representatives will reach out to you after the webinar and you will receive a recording of this webinar so thanks for spending spending some time we know it's a little bit later in the day and many of you have had a long day already so thank you for sharing your time with us i'm kim master Martino and I am the planning and implementation manager here at Pearson I've been working here for about a year supporting mass resources and math implementation across Canada I've spent probably about 25 years in education most recently with the Ministry of Education here in Ontario and previous to that out of a school board and we also have Miranda on the chat she is a seconded math consultant out of Toronto Catholic tonight and we have patty on the line also marketing manager for math so she'll be able to answer your questions and she'll come on at the end to give you some more information so we are hoping that this is an interactive webinar we're going to be asking you to participate by chiming in some ideas into the chat pod as we go so get your fingers right and let's start with this picture so as What strategies for equal partitioning do you see? you're looking at the pictures think about what strategies for partitioning or what we call equal partitioning do you see how would you name them and what would you see so if you have some idea of how what you call it what they're doing if you could type that word into the chat pod now that would be great and so if you're still thinking I'm wondering if you saw folding so if you saw folding put a yes or a thumbs-up I'm not sure if we can actually use emojis on this one at least a yes can go in the chat pod if you saw folding if you saw measuring put a yes in the chat pod if you saw counting hopefully we're seeing lots of yeses Miranda if you saw cutting if you saw visualizing or even fair share dividing so this picture comes from one of the little books that's in the mythology collection so what will be D we'll be doing is over the course of the webinar using different images from the little books and from the activity cards and thinking more about early Learning Progressions fractions a long learning progression so this learning progression is a step by step look at stages of knowledge --is and skills that the learner goes through as they develop competence in mathematics and it's organized by big ideas there's 13 big ideas some number and then along the other strands they have conceptual threads and within each conceptual thread there's an indicator and so we're going to be looking at this big idea one of the 13 big ideas about quantities and numbers can be grouped by and/or partitioned into equal units and so underneath that big idea are three conceptual threads that have been put together because of their similarities along the continuum of learning mathematics and so we're gonna take a look at this bottom portion about partitioning quantities to form fractions and so on the left-hand side we see where kindergarten students would start thinking about this mathematical concept all the way to the right hand side where grade threes start thinking about this mathematical concept so if you're a user of Mythology already this webinar hopes to help you think about how to put together some of the resources and think about pieces you would like to use if you're just learning about mythology this webinar will give you some ideas about that fractions pathway and you'll get access to all these resources through a link at the end of the webinar and so let's Do you ever see students do this? start with this picture do you ever see students do this do you ever see them when they're really young in the kindergarten class and they're trying to do something that's sharing and and they take a look at it and they're like well I'm not quite so sure that this is quite right you know it it seems like a piece of it but is it really fair whereas younger children this little one doesn't even care how big it is she would just like some more of it and so which piece would you want she's taking a look at her friend or her brother and thinking hmmm maybe this isn't quite right maybe this isn't quite fair yet and so this is where early learners in kindergarten start they visually compare fraction sizes and they name those fractional parts informally they might say halves or a piece or eyepieces bigger than you but it's it's an informal labeling and so let's take a minute and think about how might your How might your students equally share with friends? students equally share with friends so take a look at the picture here that comes out of the grade two activity kit and in the chat pod right just pop in some of your ideas about how might your students equally share these items so if they're sharing with a friend you know might they take a look and think about one for you one for me one for you one for me and fair share that way you know might they take one at a time and give each other or might they you know circle off a couple of them and say two for you two for me until they finish and so they really think about solving equal share by working things out with the manipulatives to really find out about this so they're they're thinking about partitioning the holes into equal sized parts to make fair shares so the holes here is all the pencils thinking about equal sized parts to make it fair that each child gets the same amount of pencils and within this activity on the other side of the card and so this is an actual card that students look at on the other side of the card there's another opportunity for sharing with friends although this is opportunity to differentiate so it might be smaller numbers or easier things to think about how they might fair share it and so How might these materials help to explore equal parts? let's take a look at another photo here and have some opportunity to chat in some of your ideas and see what some of your colleagues are thinking about and let's just take about a minute here to think about and to share with each other some ideas about how might these materials help to explore equal parts you and so in thinking about this it might give students opportunities to think about equal parts in different ways they might be able to think about some fractional names that the students might know they might think about half they might think about thirds they might think about force they might take a piece of paper and be able to fold it in half and half again and they might start naming them as one fourths and so it gives them an opportunity to think about different types of materials and different ways to think about putting them into quantities that are actually less than one and so this comes from an activity from a grade one kit that starts with students using the materials in a very concrete way to start thinking about those fractional parts before they have to go to a pictorial or to a abstract representation and so this is moving along that continuum of learning moving into partitioning the holes through standard intervals and into equal parts and they start naming the unit fractions and so when we take a look at an activity like this the activity kits have the actual cards and in a little bit I'm going to show you mythology CA and what that looks like as the cards but just take a look and see in terms of the front and the back of the card on the front of the card is the actual lesson and the back of the card has the assessment piece embedded where a student might start in the top left-hand corner and move through some of these stages to the bottom right hand corner so just take a minute and take a look at the lesson part you might not be able to actually see the the parts but in terms of the key Cheers is there something you see there that would be helpful for your teaching so in the card there's some great features every lesson is organized like a three part lesson but it's really the importance of getting students ready for thinking about the mathematics for interacting with the mathematics and each other opportunities to differentiate within the actual activity and then having that idea of consolidation right in front before I actually have the activity doing it with my students I can kind of see what are some things I should be highlighting and what types of things at the end of the lesson do I really need to consolidate with the students to move them forward along that continuum of learning in this case for fractions it also helps me to think about what to look for you know so are the students able to fold or cut the items to make halves thirds and fourths do the students notice that the different size holes result in different size halves thirds fourths so it really gives me ideas of things that I should be looking for as they're working through the activities it also gives me probing questions along the bottom for every activity that are really precise again to moving students along that learning continuum on the right-hand side you see the assessment which actually is the back of the card when it's a physical card and that would help me as a teacher understand not only where my students are at but also what my next steps with that student would possibly be it gives me you know a way in to think about the next best step for that actual student so the assessment is embedded within the learning and the teaching and the teaching and the lesson planning is great because everything on the top of that card has the materials has the big ideas it has the focus it has the processes and competencies that I need to have at my hands when I'm actually doing the planning so let's take a minute and think about how does paper How does paper folding help students compare? folding help students compare so we're moving along that continuum of helping students to relate the size of the parts to the number of equal parts in a whole so for example a whole can be cut into two equal parts it has larger parts than a cut then a hole cut into three parts so it's interesting that the same piece of paper we can call sections halves or if we look at it a different way that same hole we can call it quarters or we can cut quarters or we can call it fourths or we can call it eighths or we can call it six so it's that idea that a hole can be named in a variety of ways so let's take a look at this student on the left-hand side so the student has used some relational rods and taken the green rod to think about what are the different types of fraction parts I can make with this green rod so take a look at it take a look at the rods and take a look at the actual representation of that rod and think about what does this child already know about fractions and so if you can see I know it may be small the the assessments this is from a grade two activity as we're moving along which box might you place that student in what is it that they actually know and we'll just take 30 seconds to think about that or if you want to just pop in your answer what box you think it is and why into the chat pod that would be great and we'll take 30 seconds to do that so if we take a look at what the student did on the left we look that he's done the whole as the green rod and he's done two smaller green rods to make halves he's used the red to make thirds and he used the white to make six so he's got two four he's got six White's on the bottom but when he went to the pictorial representation he's got the hole that hops he's got thirds even though it looks like he's put it into force the actual pencil mark shows thirds and then when he went into six he's got one two one one six two one six three one six four one six five one six he's missing one of those one six so we can take a look in a minute about how some some ways to work with the next step but here the student might be in a round box for in that the student partitions holes into equals and names the unit but does not realize that partitioning a hole into more equal parts produces smaller parts that's kind of where the student is at and so the next step suggests have the student compare one part of each color so in other words the student might compare the white ones that they've done to the white ones in the pictorial representation are they the same different and why and so it gives a way in to have some great mathematical conversations so I'm just gonna go back one thing I'm gonna go back back back so What does this student know? What does this reveal about student thinking? here's an opportunity for students to compare unit fractions to determine relative size and also to count by unit fractions so counting by force one 1/4 two and four three one force and so on and using fraction symbols in some provinces to start naming those fractional amounts and so this helps the student move from to concrete representation into the pictorial representation and then eventually into that symbolic representation of fractions and so let's take a few minutes now to take a look at what does this look like in mythology dossier so in mythology CA it is an online tool for teachers that contain all these rich activities that we've just been talking about that follow the learning progression it's an opportunity to search for activities plan for activities teach assess and track and also there's professional learning embedded right in the lessons at the point of planning and so I am going to let's just see if I can minimize what I've got here and come in to Mythology CA and so here is the front page for mythology CA so when you have a username this is the landing page that you would land on and I can do search by three ways I can search by the learning progression that we've been watching I can search by curriculum or I can just type in anything here and come up with a lot of activity so right now my my screen is showing both grade one and two so what we're going to do is let's search by curriculum to start and I'm going to start with grade one and we're gonna go into the curricula expectations' and I'm showing you the Ontario expectations but if you have this your provinces expectations will pop up and so here's fractional money amounts and what we were working on was dividing holes and objects into parts and identifying describes our investigation equal sized parts of the whole using fractional names so this is from grade one so I've got a couple of activities that are listed here and just to make sure I can search make sure it's grade 1 I'm searching all the different activities and the little books and I'm searching all the strands so here's a couple of activities for grade 1 that come up for early fracture numbers and you can see that this photo is the activity that we looked at in terms of composing and decomposing different parts so the card looks the same and we'll come back to that in a minute but online there's also information about the lesson about the curriculum expectations that are covered the processes and competencies and here's that learning progression that we showed you the page at the beginning it's just the part that they're actually looking that they're actually working on on the left hand side is what kind of comes before and on the right hand side is what comes after and depending on the learning progression sometimes it Scrolls backwards and sometimes it's curls forward depending on what are the indicators along that learning progression so let's take a look at that lesson so what you saw was the actual visual that's here and here is the overview of the lesson just like the card you saw it has a before it has a what to do that the students are often working in pairs and very active working through activities and through problem solving has opportunities to differentiate right within the lesson and again consolidation it's right there for me as a teacher to think about what is it that's going to be most important for these students and there's my probing questions right there so any resources that I need are on on here and there's also opportunities to take a look at some online tools that you can be working with your students and for the grade too one we're gonna take a look at that one also so when they move to Grade two and started looking further along that continuum I'm just gonna put fractions here again I'm going to take grade two I'm going to take a look at all the activities and we've got numbers strand so here's just a way of sorting and filtering through to make sure I've got kind of what I need for my grade and here is obviously a lot more activities for grade two as they're moving into further complexity with early fractions and so here's the early fractional activity that we looked at in terms of that student work and the fractional rods and where that student was along an assessment continuum so let's take a look at the details it's got all the things I need for the lesson again it's got that structure of a before and during where the students are working through activities and and problem solving as they go to work through some of these ideas it has what to look for from me as a teacher to know that the important things that I'm looking for and again the probing questions so that this information is on the cards in the kit also in addition to the actual lesson the assessment part is actually embedded right in this tool so as I'm walking around and working with students I might notice that certain students are doing certain things and I can track and record that right here so if I've got an iPad I can just do it as I go or I might be intentionally looking at a few students and thinking about what did I see today in their work and so this what you're seeing on the screen is exactly like the back of the card that we saw earlier so I might have seen Darius that might have been Darrius that we looked at and so I am just gonna drag and drop him down here and he didn't quite go so I'm just gonna take Darius and move them down and it just will pop them in there and so it it keeps track of kind of where they're at and so if I want to make a little note it timestamps ed automatically for me but I might want to add some more information and so I might see that I've been kind of working on these kind of fractions for a while and I see I've got quite a group in this group and so I can just click here and think about what is it that I need to move them to the next step in terms of moving them forward or I've got it you know one student here that isn't quite as far along or a few students here so some of them actually have very specific next steps that can go to and this one is suggesting to take a look at a book the grade two little book the best birthday and so that might be something I might consider for that group because it's kind of like next step so it might be worth it re either revisiting this book or working together as a group with that book so we've had opportunities to search to think about what's all involved in the lesson and finally there's opportunities for related activities with the book or related activities with the actual activity so we've had opportunities to take a look at the lesson and to take a look at how we're searching and how were looking at different activities so if I wanted to think about I'm gonna go back to my home and back to this activity that we've had early fractional thinking so if I wanted to work with my students maybe with one of the tools that's helpful for them I can just go to details and find the interactive that's helpful with this activity and so for this one is the relational rods and so it might be helpful with a small group or as consolidation to take up some of the responses that the students did and we can see that for this student this is what he chose to do and he would have had the these rods to show and six of he would have had six of those but the picture that he did didn't show that so it would be a really good way to start a conversation about comparing contrasting the concrete to the visual so lots of different ways to use these relational rods but it's embedded right with the activity so as I'm planning I might think well I might want to learn a little bit more about relational rods and what to look for each lesson has what's called a learning highlight video which is just a one minute video that helps me think about what might I see in the student thinking so right now I'm just going to show you one of them they're like a minute or less take a look at this one encourage students to explore the different colored rods and the relationships among them do they realize that the first encouraged students to explore the different colored rods and their relationships among them do they realize that the first rod they pick represents the whole in this case the orange rod do they see that some rods can be covered in many different ways while others in only one way help students see that the length of the part for the same unit fraction depends on the length of the whole for instance one-fourth of the pink rod is a rod but one-fourth of the Brown rod is a red rod how did the two 1/4 rods compare to consolidate talk about how the same rod can represent different unit fractions depending on the hole for example the red rod represents one half of the pink rod but one third of the dark green rod at the same time the red rod can represent the hole for those students who would benefit from support on naming fractional amounts refer to intervention activity 8 so each lesson has one of those videos to take a look at what might be some of the student thinking as they're working through this activity and the other thing that's included for the professional learning is the learning connections videos and so these videos are based on the big ideas from the learning progression and so there is 13 different Big Idea videos that are embedded throughout that each activity and book is associated with so let's just take just a little section of this and it follows the learning progression again and we'll just take a look at the section that deals with the fractions [Music] how many dinosaurs are there how might you group them to count in this video we'll explore the learning pathway for the big idea quantities and numbers can be grouped by or partitioned into equal sized units outlined in Pearson's learning progression several mythology resources such as this grade 2 activity support students in unit izing comparing and partitioning quantities to form fractions one important concept that students investigate is unit izing quantities in the ones tens and hundreds form fractions students use strategies to partition a whole into equal sized parts and name the parts to share in this grade two little book students use a variety of strategies such as folding or measuring using non-standard units such as toothpicks to visually compare fraction sizes and then name the fractional amounts as students become familiar with partitioning different sets they learn to count by unit fractions in this grade three-d little book students might look at this section of seats as a whole and the rows as the parts what fractional part of the whole does each row represent in this picture each blue and yellow row represents an equal section or part so each row is 1/5 of the whole students might count the rows as one 1/5 to one fifths three one fifths for one fifths v one v in this video we've explored several indicators in this big idea and a few of the available resources in mythology these resources can support students in developing a foundation for multiplication division fractions decimals and ratios to inform instruction for your grade refer to your provincial curriculum so how might your students determine how many so these are a little bit longer videos that really give a really good idea about that the idea and the learning progression along it so it visually shows what we're doing in this webinar are the stages along that continuum that students work through so we've got lots of activities in here we've got great assessment that is at the point of instruction learning highlight videos help me as an educator be a little bit more precise in what I'm looking for and supporting my students and your thinking okay there's all this here how do I go about using it and so it's as simple as going up to the plan to tool there's opportunity to have there's embedded shared plans already in here there is sample plans for grade one and sample plans for grade two and these sample plans actually last the whole year so it's as simple as taking one of them they just go a different order in terms of the concepts but if I want to use that plan I just simply call it my plan Kim I'm gonna save it so there's my plan and it's as easy as if I don't want to start with repeating patterns in September I'm just going to move it down or if if I'm creating patterns again I might want to just move that down or move that up in two different places I have all the activities that are here basically a week's worth shows up when - two weeks shows up for each section so it's already there I can take things out that I don't want I can add things that I do there's also great opportunities to favorite certain activities and load them in as you go I might want to add an activity and it's as simple as dragging them over and Minn I can add comments I can add any mythology lesson or non lesson that has a URL so if I've got lessons in Google Docs I can just load them up or I've got websites and games I want to use I can just load them up and put them there so it's a very simple planning tool to get started or to make it whatever you want and so when we look at this idea of early fractions we've I'm just gonna pull back to this slide here we've had an opportunity to look at how does someone search for ideas if I'm working on fractions I've got the learning progression it's built into the actual activities I just take a look at my grade one and think about what is it that I want to do and I'm moving along that continuum it has opportunities to think about different resources online teaching tools my assessment is embedded it helps me along the way and there's professional learning tools right there at the point of the lesson so I'm just gonna stop for one minute and if you have any specific questions about the learning progression and following fractions along or anything that you just saw in mythology dossier you could just type it into the chat and we'll see what we do with that we just sort of just take a minute to stop for that you and so we've taken a look at the beginning you saw when we took a look at the search function that you can search by just a keyword you can search by the learning progression or you can search by curriculum so we know in Ontario and possibly other provinces new curriculums are coming out and so this can be very easily correlated to any new curriculum because it's built on a learning progression the math is the map it just might look different from grade to grade of where it's correlated to so within a very short amount of time they're all tagged and correlated to the to any new curriculum so we're gonna take a minute to take a look at everything that you just saw and at the beginning we saw the map activity kits that come in a physical box for grade 1 & 2 and within that kit there's a hundred and one math lessons those lessons are also embedded in mythology CA as you saw us go through the same activities there there's 34 kaito for grade one there's 34 k2 one mythology little books that are everything is in French and English in the activity kits and the books and they're all based on a k23 Mathology.ca includes the following learning progression and within the grade one mythology dossier there's all the additional supports and assessment tools and planning tools as well as a hundred just over a hundred professional learning videos that go with that so grade 2 again it has boxes of activities in a physical form as well as little books so for grade - there's 185 activity math lessons there's 30 eighth grade one to map little books there's the k23 learning progression and within the grade two there's 160 just over 160 professional learning videos and grade three is coming in the fall of 2020 so now that you've seen all the pieces if you have any questions again just type them into your chat pod as we go through the final parts of the webinar so we've seen about how students What types of fraction models do you see? How might you partition them? start from kind of looking at pieces of cake and trying to fair share it and realizing hmm something isn't quite right but I'm not quite sure what to do about it so when they get to Grade three they're starting to see a variety of different types of fraction models and so when you look at this picture just take a minute to think about what types of fraction models do you see here and how might your your students partition them did you see an area model where the ring can be divided into halves or other portions did you see a set model with with the players or the pucks or did you see a linear model where it can be set off like a number line and section off a piece of the rink and so this comes to the right-hand side of the learning progression as we are approaching grade three and four where students are starting to partition a number line from zero to one in two equal parts and they start naming those parts using fractions Learning Progression for Partitioning Quantities to Form Fractions and so here's the learning progression that we looked at over the last 45 minutes starting on the left hand side with kindergarten and moving to the right with grade 3 and here are the resources that we looked at to support students moving from visually comparing to that idea of actually starting to use in an abstract way number lines and look at numbers from between 0 & 1 and so in mythology this is the Mathology Mathologie Portfolio K-8 resources that make up what we call the mythology family so on the bottom line we see a variety of things and this is the support for the resources that are placed into classrooms on the left hand side we have a math success for all it's a research overview you can google that mathematics success for all Pearson it's available to anyone we've taken a look at one little section of the learning progression that students move through as they're thinking and working through those fractional amounts we have underlined that Pearson professional Learning of resources like taking shape what to look for Vanda wall Cathy marks car pans books on teaching math with meaning and the new book they what to look for facilitators guide that actually supports the work of what to look for and supports administrators and math leaders in easy ways it has powerpoints it has videos embedded to really support that facilitation and we have implementation supports that's partly my job to support through workshops and webinars like this the not only the the use of resources but supporting educators in moving along their math journey and so coming August Mathology Grade 3: Coming August 2020 Classroom-tested to 2020 marry soon we've got the grade three resources ready to go out and of course these all these resources have been classroom tested and they've been classroom tested to encourage student engagement you can just go into Twitter and find some of these activities hashtag mythology and you'll see some teachers who tested it it addresses the diversity and math understanding with classroom it was classroom tested to really remove those time constraints and making plan and effective and curriculum focused it was classroom tested to address it all the curriculum expectations even if those expectations are going to change or shipped with a new curriculum and it's really a classroom tested to to develop that growth mindset in mathematics and so for grade three the lessons and activities for the teacher the lesson cards are in mythology a there's going to be an activity kit with student facing activity cards of course there's the math little books that come with it that are fiction nonfiction and there's always a couple that are indigenous perspectives in each grade and then there's the math maps which are wipeable in other words with whiteboard markers they're reusable and being able to use in a variety of ways with students and partners and again the hashtag mythology you'll see some kids using these and so Flexible Grade 3 Components the grade three components are really flexible the mythology dossier it really streamlines the searching planning assessment and professional learning all in one place there's 18 fiction and nonfiction books that come with teachers guides the activity kids have really engaging games and activities really to support that student understanding in math and then the math mats are really to encourage that growth mindset and risk-taking because they're wipe-on and awful and so you're welcome to register Register now for a 2-week Free Preview for a two week free trial and when you go to Pearson pathology ww Pearson mythology CA you can register and you get access to all the books and cards that you saw today and you can just go and do that lesson tomorrow if you want or take a look at it for one more night do it the next day and many more tools at your fingertips and so right now in mythology CA for the free trial you'll get grade 1 & 2 and grade 3 is coming fall 2020 so we really appreciate your feedback I'm not quite sure if if Miranda has the link or if you can type the link Miranda into the chat pod your feedback really supports us not only in making better webinars but making better products for your students so the survey I think it's three quick questions if you could just click on that now and go there it'll take you probably less than a minute and 10 seconds and so I'm just going to stop for 30 seconds and then we're going to come back with some more information first of all I'd like to thank you for taking time and we will wrap up in a minute but I think Patti hopefully I don't have to do anything patty to bring you on you should be able to come in hey everyone its Patti Anderson I'm the math marketing manager at Pearson and I just wanted to share with you some of our by now and save spring savings that are available for mythology until July 15th we usually get this question near the end of this webinar about how much things cost that's always a good question to get and so we've put together some really great bundles use you've seen from Jim's presentation that we have activity kits we have mythology doxy a and we have math little books and so typically with any type of bundling you can put resources together and get a better price and so we've done that for you this spring so for instance we have pathology dot CA which you just walked through five-year access plus an activity kit for under a thousand dollars we're trying to keep these well within most schools budgets you have the opportunity as well to when you put the activity kit the pathology dossier together to get 25% off the print component so the math for instance the math little books or the math mat if you're just interested in one year access to pathology CA in an activity kit that gets you 15% off the print components and last but not least I think and you know that we are also the publisher of math makes sense and so this spring we're looking at any schools that purchase pathology any of the components for $2,000 that opens up some really great savings on math makes sense grades four through eight and it's the student text and those pro guides and this is particularly for those schools that are looking to top up with math make sense this spring for grades four to eight you receive 50% off so there's a variety really great offers here and what kim will do at the end she'll put up that looks at your local Pearson representative and if you're interested in any of these by now and saves these folks we'll be able to help you with more information on these spring savings so thanks so much for being with us tonight you really appreciate it thanks Kim and so along with the Ensuring Success: Implementation Support products there's also services support that is somewhat my job but of course here at Pearson there's so much intertwining and everybody helps everybody but we have what's called a tiered service that there are self service so if you go to Mythology Pearson mythology you will find some standard self service resources like there's you know about five little videos about the little books about the kits about mythology CA and a variety of resources there on that website you can also find all the curriculum correlations and sample plans and so that's just available for anyone at any time and then we have shared services where I work with boards and schools along with sometimes Pearson consultant from various locations across Canada to support either face-to-face implementation or webinar implementation or even just conversations with administrators we've done lots of leadership webinars and things like that too so it's just working with the administrators and with the districts to find out what best suits your needs and how can we best support that implementation as you get going with new resources and to also support that math learning so it's really more about math learning using the bases of Mythology resources to support that learning across the teachers that are starting with it and then we have our full and custom services that are a lot of our authors give workshops or we give specialty workshops depending on what the need of the board is and that's tailored right to the board and the objectives of each or neech customer and so as we end here's the list of wherever you are in Canada that you can contact this person to find out more about mythology and what might be best for fits your context and just on behalf of Pattie marketing manager and Miranda who's been working that chat pod today for us and myself can master Martino for taking time out of your day that is taking time away from other things that you might be doing to look at some ideas and think about some math learning pathways that might support your students so again you can go to math College Pearson mythology Canada and you can get your free trial for two weeks and have all the activities that we did today so I'm going to stay on the line for just a little bit longer if you have any particular questions we'll be here for five or ten minutes and you can just put them in the chat pod now and if not again thank you very much for being with us today