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But it goes from one to 2, 3 and it's, yeah, there's one more block each time. Let's use our chunking strategy to see if that works. If I line them up. Does it increase by one more block each time?

Ah, so what would be the next one? It would be 3 and one more. 4. Ok, I can get 4 together. And what would be the next term in my pattern?

[Over a grey background, the red waratah of the NSW Government logo appears amongst red, white and blue circles. Text: Copyright State of New South Wales (Department of Education), 2021.]

These videos are adapted from AAMT Top Drawer Teachers Making a staircase and AAMT Top Drawer Growing patterns. Before you begin, you might also like to watch the Numberblocks step squad episode.

Every year around 5,800 people are admitted to hospital for hot liquid burns which totals 45% of all burns across Australia, as stated within the Public Health Association Australia, Injury Prevention Special Interest Group (SIG) "Hot water burns are preventable by fitting temperature reduction valves via hot water tempering devices such as Thermostatic Mixing Valves and Tempering Valves" - Link Below: but is also a legal requirement!

[Text over a navy-blue background: Staircase patterns 1 – K follow-up. Small font text in the top left-hand corner reads: NSW Department of Education. In the lower left-hand corner is the red waratah of the NSW Government logo. ]

TEK518 TEKMAR 518 NON-PROGRAMMABLE DIGITAL THERMOSTAT - ONE STAGE HEAT ONLY ... TEK518 TEKMAR 518 NON-PROGRAMMABLE DIGITAL THERMOSTAT - ONE STAGE HEAT ONLY.

[The speaker picks up a new stack of post-it notes and draws the number ‘1’ on it. She then crosses off the number ‘1’ on the post-it note beneath the rows of cubes, and places the sticky-note containing the number ‘1’ which she has just drawn over the top of it]

[A title over a navy-blue background: Staircase patterns 1 – part 1. Small font text in the upper left-hand corner reads: NSW Department of Education. In the lower left-hand corner is the white waratah of the NSW Government logo.

Oh, it reminds you of something else. It also. Yes, I agree with you. It reminds me too. If I turn it like this, you might have recently seen an episode of number blocks called Step Squad. Yes, and it does look exactly like our number blocks characters, doesn't it?

I know something about nine of something, and one of something. That when I have nine of something and one or something, it always combines to make 10 of something.

Information about working in or operating early childhood education services including outside school hours care. Plus, information for parents including how to choose a service and supporting your child for their transition to school.

[The speakers grabs the sticky notes with the numbers ‘7’ and ‘3’ from beneath the blocks and places them to the right of the sticky notes containing the numbers ‘9’ and ‘1’.]

The NSW Department of Education is committed to employing the best and brightest teachers who can teach and make a difference in NSW public schools.

Skills NSW helps post high school students find courses in vocational training across a wide variety of industries and course providers.

Access info for students, parents and carers including: calendars, school operational status, key initiatives, visitor check-in procedures, and translated documents.

- Replacement of the temperature actuator every five years from commissioning or as per the manufacturers recommendations.

Learn about the NSW education department, who we are and how we operate. Explore our people, accountabilities, jobs, opportunities and much more.

Hello there mathematicians. How are you today? That's really good to hear. So, I have some blocks here and I'm beginning to make a pattern.

1. Start with both shut-off valves closed. Slowly open the inlet shut-off valve until the backflow preventer is completely pressurised. A ...

[The presenter writes the pattern core underneath the mathematical drawings. She writes: ‘Our core is that each step up the staircase, adds one more block.’]

[Presenter points to the first brown cube, then the circles the next 2 black cubes and the final 3 red cubes, indicating the growing pattern.]

Watts 0590723 - 3/4" FV-4M1 Auto Air Vent- 3/4" FV-4M1 Auto Air Vent Series FV-4M1 Automatic Air Vent Valves provide automatic air venting for hot or cold ...

Learn about the NSW education department, who we are and how we operate. Explore our people, accountabilities, jobs, opportunities and much more.

So now I was wondering something actually, and I was wondering what would happen if we make it so we go up by one each time, but when we get to 5, what would it look like if we went down the other side?

And so we have this really nice structure to our pattern, but when we're looking at portion, I was wondering about this.

OK, over to you, mathematicians, how many blocks are there altogether? Draw a picture to record the thinking you did to work out the solution. See you soon.

- Basically all of the requirements under thermostatic mixing valve testing but full tempering valve replacement every 5 years as you cannot replace the temperature actuator within a tempering valve.

Syllabus outcomes and content descriptors from Mathematics K–10 Syllabus (2022) © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2024.

[Screen shows 6 blocks joined horizontally. There is a single brown block, 2 black blocks and 3 red blocks all joined together.]

NSW Department of Education's information on curriculum taught in NSW schools, Aboriginal education and communities & personalised support.

That there's one brown cube, 2 black cubes, 3 red cubes. So, the colour is changing each time, so there's nothing there that's repeating.

[The presenter draws a new right angle underneath her previous drawing. She creates 5 divisions on the bottom line and 5 on the side to represent the structure. Next to the drawing she writes: ‘5 blocks wide and 5 blocks high.’]

[Text appearing to the right of the image of blocks reads: It’s a shrinking pattern because the number in each column decreases by 2 each time. Taking-away 2 each time is the repeating core!]

Wow, so mathematicians, my challenge for you is can you work out how many blocks we have altogether now? Over to you to think about that.

[The speaker removes the outermost green block from row 7 and places it beside the red block in row 2, she removes the outermost green block from row 5 and moves it beside the red block in row 10, and she removes the outermost blue block from row 6 and places it beside the other blue block in row 1.]

Skills NSW helps post high school students find courses in vocational training across a wide variety of industries and course providers.

We also realised today that you can have growing and shrinking patterns. We saw a shrinking pattern when we looked at our staircase structures like this.

And then, yes, seven. Aha. And three is also going to be 10 of something 'cause seven of something and three of something always combines to make 10 of something.

…one, two, three, four, five times. Yeah, and this made me start thinking about something mathematicians of what if we thought about this in a different way. Yeah, 'cause what we're seeing here is it grows…

Outlet Box Valves (Washing Machines) ... The dahl mini-ball™ valve for outlet box applications is backed by a 25 year warranty. It was the ...

We recognise the Ongoing Custodians of the lands and waterways where we work and live. We pay respect to Elders past and present as ongoing teachers of knowledge, songlines and stories. We strive to ensure every Aboriginal and/or Torres Strait Islander learner in NSW achieves their potential through education.

Thermostatic Mixing Valves and Tempering Valves are temperature control devices installed within a Hot water delivery system to reduce the water down from 60 + degrees to either 45 degrees maximum for Hospitals and Aged Care via a Thermostatic Mixing Valve and maximum 50 degrees via a Tempering Valve for all other applications.

The NSW Department of Education is committed to employing the best and brightest teachers who can teach and make a difference in NSW public schools.

Access info for students, parents and carers including: calendars, school operational status, key initiatives, visitor check-in procedures, and translated documents.

So over to you mathematicians. Draw the staircase pattern we've made, continuing it down the other side. And then we'll come back together. OK over to you.

[The speaker draws the number 22 on a blank sticky-note and sticks it below the blocks. Text on a blue background reads: What’s (some of) the mathematics?]

[Text on a white background reads: Mathematicians use what they know to help them solve problems. Below this reads: I know 10 can be made of 9 and 1. To the right of the text is an image of the 3 columns of blocks, with the first column, containing 10 blocks, outlined in black.]

A thinking mathematically targeted teaching opportunity focused on exploring and representing increasing and decreasing patterns.

[The speaker circles the numbers 9, 7, 5, 3, 1 on the sticky notes with her finger. She then points to the numbers 9 and 1.]

[Presenter places a white page of A4 paper on the screen. On the page she draws a right angle and creates ‘steps’ that mimic the step formation of the blocks. Presenter writes: ‘a triangle shape.’]

NSW Department of Education's information on curriculum taught in NSW schools, Aboriginal education and communities & personalised support.

Yeah, and I'm wondering if you can figure out what the next term or the next thing would be in my pattern if I continued it? Ah ha, so remember, a pattern is something that has a repeating core.

We will concentrate on AS/NZS 4032.3 - 2004 "Water supply -Valves for the control of heated water supply temperatures Part 3: " as we can assume that you already have these types of devices installed as it is law.

[The presenter lines up the blocks vertically with the single brown block at the top, the 2 black blocks underneath and the 3 red blocks at the bottom.]

[The speaker removes the outermost blue block from the 5th row and places it above the red block in the first row, creating an initial row.]

So that's what it would look like if we put it all back together and we could keep building it out as a big tower of pattern.

[Over a grey background, the red waratah of the NSW Government logo appears amongst red, white and blue circles. Text: Copyright State of New South Wales (Department of Education), 2021.]

Expansion tanks are pre-charged with a 38 PSI air charge. If the inlet water pressure is higher than 38 PSI,the expansion tank's air pressure must be adjusted ...

One, 2, 3, 4, 5, yeah, and you're right, because it's a mathematical drawing, I don't have to draw all of the individual blocks. I can just draw the most important information. Yeah, and, and so, what our pattern is, our pattern core. How would we describe that? Yeah, the pattern core goes up by one each time. So, our core is that each step up the staircase adds one more block.

Within the Australian Standards there are temperature management requirements under AS/NZS 3500, 4032, 4032.1, 4032.2 and 4032.3 and the Plumbing Code of Australia. Thermostatic mixing valves, when adjusted to an outlet temperature not exceeding 45°C, are intended for use in health care, aged, childcare, people with disabilities or any other similar at risk situations under AS/NZS 4032.1. Tempering Valves in all other suitable locations to deliver temperatures not exceeding 50 degrees.

So how many bricks? How many steps do I need to draw? One for red, another one for orange, another one for 3, another one for 4 and one for 5, and so it's like, oh, a triangle with squares in it. So, it's like a triangle shape. What else do you notice about it?

[New text appears beneath the existing text, it reads: I know 10 can be made of 9 and 1. I know 10 can be made of 7 and 3. I know 2 tens is called twenty (20). In addition to the first column, the second column, containing 10 blocks, is outlined in black.]

ES1 – a thinking mathematically targeted teaching opportunity focused on subitising dice patterns and quantifying collections.

[A title over a blue background: Over to you, mathematicians! Below the title is text: How many blocks are there altogether? Draw a picture to record the thinking you did to work out the solution.]

[New text appears beneath the existing text, it reads: I know 2 tens and 5 more is called twenty-five. I know we write that as 25. In addition to the first two columns, the third column is outlined in black. The third columns contents become opaque.]

Discover how to protect your home or business against water damage with IntelliFlow. Learn more about our automatic washing machine shutoff valve.

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Key Points from AS/NZS 4032.3 - 2004, Requirements for field testing, maintenance or replacement of thermostatic mixing valves, tempering valves and end of line temperature control devices.

[The presenter disassembles the blocks and chunks them together in ascending order. She places them from smallest to largest like a staircase. From the top of the screen the presenter grabs a new set of blocks with googly eyes and features on them to represent the Number Blocks characters. She keeps these onscreen and moves the other blocks off screen.]

Information about working in or operating early childhood education services including outside school hours care. Plus, information for parents including how to choose a service and supporting your child for their transition to school.

[The speaker picks up the post-it notes containing the numbers ‘9’ and ‘1’. She sticks them above the rows of blocks and to the right.

Beneath this text is an image of the rows of blocks before they were re-arranged, with the numbers 9,7,5,3 and 1 beneath it.]

For more information and or need someone to service your valves please feel free to contact us, we may be able to help, remember in some states you need licences issued by the state authority to service Thermostatic Mixing Valves, where there is no legal requirement in your state to hold a Thermostatic Mixing Valve testers licence ensure that the business doing your testing is a licensed and competent plumber, you cannot touch these valves without the correct licencing.

[9 left-aligned rows of blocks in the pattern of a side-ways pyramid sit on a piece of paper. Row 1 contains 1 red block with a goggle eye and a smiley face. Row 2 contains 2 orange blocks, the outermost block has two goggle-eyes in glasses. Row 3 contains 3 yellow blocks with goggle-eyes and cut-out hair stuck on the outermost block. Row 4 contains 4 green blocks with goggle eyes on the outermost block and two paper cut-out hair bands stuck on. Row 5 contains 5 blue blocks with goggle eyes and a star shaped monocle on the outermost block. Row 6 contains 4 plan green blocks. Row 7 contains 3 plain yellow blocks. Row 8 contains 2 plain orange blocks, and row 9 contains 1 plain red block. Beneath these blocks are 5 over-lapping sticky-notes with the following numbers written on them: 9, 7, 5, 3 , 1.]

What was your thinking? Ah yeah, so I thought about something similar to some of you, and I looked at these numbers and I thought to myself, 'What do you already know?' And when I see nine and one, I know something about those numbers.

Water within your hot water unit must be stored at above 60 degrees to reduce the likelihood of Legionella and other bacteria growing within it - this is called maintaining pasteurization temperature within a stored hot water unit, this requirement was bought into law through an addition within the standard AS/NZS 3500 in 1998. So in doing this we brought the requirement for stored water into a temperature range that can burn very quickly:

[The presenter joins all of the chunks of blocks together in an ascending pattern from the singular brown block all the way to the 5 orange blocks.]

Stage 1 – a thinking mathematically targeted teaching opportunity focused on exploring and representing increasing and decreasing patterns using twos.

Oh, yes, and I can come in and mark those for you, so I'm going to come in and go, there and half and quarter. So, one, 2, 3, 4, 5.

Oh yeah, it's like this. It goes up by one each time. Um, each column increases by one. Look, it's one, then 2, then 3. Yes, so each column increases by one. So, each time we go up a step, it gets one bigger.

[The speaker points to the 10 blocks in the first column, then to the 10 blocks in the second column, then to the 5 blocks in the third and final column. She moves the sticky-note containing the number 5 from beneath the blocks to the right of the blocks.

Ok mathematicians, over to you to finish what the rest of our staircase would look like if it goes up and down the other side. And can you draw a picture of this to record your thinking?

What else can you see? Oh look, you're right. one, 2, 3, 4, 5 blocks wide and one, 2, 3, 4, 5 blocks high. That's cool. So, 5 blocks wide and 5 blocks high.

So, we're looking for what is the thing that's repeating over and over and over again. Yeah, and it's a bit different 'cause we've been working a lot on patterns like A, B, A, B. You know, like clap, click, clap, click, clap, click. But this is a different kind of pattern.

[Text on a blue background reads: Over to you, mathematicians! Smaller text beneath reads: Use objects to create 2 new growing patterns and 2 new shrinking patterns. Draw and describe them in your mathematics workbook.

[Presenter adds 4 green blocks to the right side, beginning to create a descending pattern. She shows the decreasing pattern by adding one red block to symbolise 5 and then taking it away to show that there are only 4 blocks left.]

[She removes the blocks from the Numberbooks Characters blocks. She traces the shape of the Numberbooks Characters blocks]

Thank you very much for volunteering your parts of your bodies, number blocks. And put them here, and now look. I have one 10, two 10s, look one 10, nine and 1, two 10s, seven and three and five more.

[In the fourth column of blocks, she places a black block to the area above the top block and below the bottom block. She takes them away.]

[Next to the picture, she writes: ‘each column increases by one’. She draws vertical lines for the first three steps and writes the numbers 1, 2, 3 in each individual one to demonstrate that they are increasing by 1.]

20 Nov 2013 — Basically, the higher the upstream pressure, the more pressure the regulator can handle before it trips (or opens) the valve.

Let's work with them 'cause they're cute. So, when you see our number blocks characters in a step squad formation, what are some things that you notice about the shape that they have? Ah yeah, it's like a triangle.

[Text on a new slide reads: You can have growing and shrinking patterns. We saw a shrinking pattern when we looked at our staircase structures like this:

Welcome back, mathematicians. How did you go? Did your pattern look a little bit like mine? Yeah, so what are some things that you notice about when we make it…

So, that would be one 10. Uh-huh. And I could actually break off five's head and say, 'you go here' and now we have 10 in our first column.

A water pressure reducing valve automatically reduces the pressure from the water supply main to a lower, more sensible pressure.

[Text on a new slide reads: I know how to count so we could also have counted all of the blocks to work out how many there are. To the right of this text is an image of the rows of blocks before they were re-arranged.]

It's a shrinking pattern because the number in each column decreases by two each time. Taking away two each time is our pattern core. Look in our first column there's nine, two less than nine is seven, two less than seven is five, two less than five is three, and two less than three is one.