Uh, hi and welcome to
mathology.ca. Today we're going to be
looking at mathology 9. Lots of ways we
can find the materials for grade nine,
but most educators like to just jump
over and look at the sample plan we have
for grade nine. So along the left hand
side, you see some different units.
Think of mathology as a digital database
that gives you access to lots of
different things. So maybe you're
thinking about your modeling and solving
equations unit and we can see here's the
lessons that are related to that. I'm
going to open up one of the ones called
activity. Uh so these are what the
activities the lessons look like. They
all have four tabs along the top. In the
first tab you find out what the lesson's
about. Here's also where you see the
curriculum and the
competencies as well as the learning
progression. So that helps identify the
big idea and concept in the lesson,
shows us where we are, but also helps us
to think about what came earlier in
students journey or what comes
later. Uh the lesson itself is here. So
along the top you find all the material
you need for the lesson. In here you
find the teacher notes for
yourself. So, it describes the
three-part lesson structure, the before,
the working on it, and the
consolidation. As I scroll here, you'll
notice there's some slides. So, that's
the material that we can be uh
projecting or sharing with students.
I'll open up the slides so you can see
what that looks
like. Get bigger. So, here's the the
lesson itself. Here's the before a quick
conversation with our class the s the
answers to those
questions and now we're really getting
into the different representations. So
in this case um the algebra tiles in a
balanced way to think about it or number
lines or part part whole models. So uh
representation students have seen a lot
in earlier
grades. Some questions uh to work our
way through together and then some
sample answers for those questions. So
that's the before and now we're into the
task itself. In this case, uh solving
linear equations and the students have
different tools to choose from. So maybe
they're going to use algebra tiles. And
so one of the things Mathology has is
interactive tools. So in this case I
open the tool up itself. And so here
I'll just uh quickly demonstrate if I
was solving equations and I was solving
2x minus
uh we'll just make it one and we'll make
it equal to
five. So as I'm setting this up one
thing to notice is this interactive will
open in a new window. So this is me
sharing this for students at the front
of the class or uh this is a link I can
also share with students. So they have
this and they can solve problems.
Students don't have a login in mathology
but they have this material that we can
share with them. Uh let's set that
equal. We'll just show quickly here we
have 2x - 1 equals 5. And so we know to
get rid of that minus one. We want to
make a zero pair. So as I add one on
this side to make zero because I set it
equal I see the balance on the other
side the one was added.
Now I can get rid of my zero
pair. I can see that 2x equals 6. We
know the answer is three. But I can also
uh create two partitions so that I
really split this up and I can see that
2x = 6. So x equals
3. If you want to do that one last step,
you can also erase those so that we see
that x= 3. And the one thing that's
interesting about this particular tool
is there's a history button. So you can
press the history and go back and see
what it looked like at that point. So a
lot of times we use the tool with
students and then we're trying to get
them to write the the formula and this
helps support that back and
forth. Uh so that was one thing the
students would have and use to solve
these different uh tasks that they're
given in the uh in the black line master
for the
activity. I'll just keep going. You'll
see some uh consolidation, some sample
solutions again that we can talk about
together, different strategies student
use. And at the very last slide, we're
always going to have a reflect and
connect. Why did we do this? What were
we trying to learn? How's this going to
help us? So hopefully uh even just that
quick look helps you see what the lesson
looks like. And all these notes in here
are are guidance for us. Uh a lot of
teachers just press the print button so
they have this on in their hands to walk
around while the students are working so
they can see all that support and then
there are of course accommodation and
extension
suggestions. There's probing questions
we can ask students while they're
working a what to look for list so we
can really think about where students
are in their journey with solving
equations. At the top you see all the
material. So maybe you open up those
slides and you real and you said I want
to change one little part. Uh they're
all available as modifiable so you can
download and change what you want. Uh
you'll also find a check your
understanding set of questions that we
might give to our students afterwards.
Maybe this first page they're going to
uh have as an anchor for the lesson keep
in their notes and then these others uh
they could work through in different
ways. uh you'll find a variety of
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questions. Some are they're labeled are
they knowledge, understanding, thinking,
application, communication, that's those
different levels of uh challenge. And
there'll always be one question that's
an exit ticket. So for those of you who
really enjoy exit tickets and that
formative data to collect, uh you could
use the one and collect it that way.
So trying to share the idea that the
lessons uh are there for you to use how
you want and we all know we all teach in
our own little way and they really are
designed for you to take and use as they
fit in your class. Uh just a few other
things to highlight. There is an
assessment chart here for you to use and
think about. What it is is it's uh helps
us to think about students or where
students are developmentally. So on the
left hand side would be early in this
journey of solving equations on the
right hand side later. And the benefit
here is there's always a next step
suggestion of how to help students move
forward um along that development.
You'll also find a competency chart. So
this lesson looks like it's about
solving equations and it is but it can
also be about a competency and how can
we continue to support students with
competencies. Uh so you'll find two
charts in all the
activities. So one more tab. Uh we've
done the lesson. We had the followup. We
have this charts to think about where
students are. And we know sometimes we
need a little bit more. So they'll find
a suggestion for an intervention mini
lesson extension and misconceptions that
are labeled for us to think about what
to do. Word wall, etc. So that's a
lesson. Um, if I'd opened this lesson,
you'd see those same four tabs with the
same information. So, take and use the
lessons as you want. If I open the last
lesson in any unit, it's the same except
you'll also find a unit test. So, just
wanted to point that out that groups
those lessons together. And I do need to
make sure I show the first lesson in any
unit because it's it's different. It's
called a readiness task. And again,
you'll see about. So this is what is
this is about uh where it connects to
our curriculum and the learning
progressions when you open the task
itself. I'll just open the student
version so we can see
it. It's a set of questions and they're
actually linked to grades seven and
eight material that students would have
experienced. So usually there's not too
many questions. You could they can use
some of them or use them all use them in
different ways. But if we did these
tasks and you noticed your students did
well with question two, but when it got
to question three with the two steps,
they were having a harder time, what you
can do is actually use, we have the
direct link in here to the lesson in
methodology from a previous grade. So if
uh I think I said question two, no,
question three. If it was question three
that students were having a hard time
with, you can get the link directly to
the lesson from grade eight or from
grade seven that was used to support
that concept. You still have the same
tabs. It still looks the same structure.
There's still these slides. I'll just
open the slide so you can see what I'm
talking
about. And so this is the lesson from
grade 8 that students might have
experienced. And you can take and use
this however you want.
So, you see it's still a three-part
structure. There's the activity they go
and work
on. Uh, just a suggestion, if you do
decide to use this in some way, feel
free to download it, delete the grade
eight part. Um, that doesn't matter for
the students. The idea is this is the
thing that's going to support them with
where they're headed with the grade nine
activity. Or maybe you open up the
practice questions and you say, "Hey,
there's a good variety of practice
questions here. I think I want to use
these with my class in some way." But
again, it's just that you were directly
linked into a grade eight or seven
lesson. Well, if you were in Ontario and
watching the video, uh it would take you
to a different lesson because uh the
curriculum are different in different
places. So, sometimes you'll find uh
you'll find that, but again, it's it's
still going to have the same structure.
All right. Thank you for letting us
share a little bit about Mathology 9. If
I opened any of the units, I have
activities and a readiness task at the
front. And the only other thing I want
to make sure I show is that we also you
can see all the interactive tools that
are available in mathology. Uh we just
showed one that was the algebra tiles
because it linked directly in that
lesson. But maybe you're doing some
geomet or some uh patterning and you
want students to get some work on some
input output rules. And so here they can
be entering and thinking about the
values. You might look at that and say I
don't want minus 6 as my answer. I want
them to be practicing something else.
And so maybe you're practicing n / a + b
where n over -4 + 10. And now what's
this pattern rule going to be? So if I
enter two ingative a half + 9 and a half
um if I'd entered four in, we're going
to have nine instead and so
on. And then you can change that and
have students predict instead of just
seeing the answer. So uh again we just
like to share the tools that way so that
you see that they can be used in many
different ways. Use them at the front of
the class for a math talk or share the
link directly with students and they can
use it to solve problems or to be
practicing uh with different concepts.
You know find concepts across across the
strands. Thank you very much for
watching. Again hopefully uh what you
saw gives you a sense of different ways
you can use mathology. There's lots more
to see inside of it, but hopefully
that's enough for you uh to get started.
And as it sounds like I'm wrapping up, I
just need to remind myself to always
show if you're someone who likes to look
from the curriculum directly, you could
have searched that right from the
homepage
instead. Uh the units instead are just a
sequence so that you'd see the beginning
and the end. Uh but you could go
expectation by expectation if you wanted
to search that way instead. It just
takes you to the lessons related to
that. Uh, all right. Thank you so much.
Uh, enjoy.