Year 7 Algebra Task- exemplar for your layout of the report. Significant Concept: Numerical patterns can be geometric or arithmetic based and predicting the continuation of the number sequence can be done through the creation of a formula Unit Question: How can I find the nth number? AOI: Environment. Picket fence task: Duplicate the picket fence the currently surrounds the nursery playground and reproduce this design adjacent to the sports field, on the far side of the track. The picket fence design must remain identical. My method ( Communication in mathematics-Criteria C) How did you do this task? What steps did you take? Write this as an overall summary. So we first measured the track and we got meters, we decided to round it up to 96 meters so its easier to calculate. Then we measured the picket fence, it was 2 meters (200 centimeters) long per section and 13 pickets in one section. So we need 48 sections, 49 square posts (because we add one more for the end), 96 horizontal pickets and 624 vertical pickets. To find out the vertical pickets, we multiplied 13 by 48 and I got 624 vertical. To find out the horizontal pickets we multiplies 48 by 2. So then our next step was to make the rule. So for vertical it will be V=13s, Horizontal will be H=2s. The measurements were Horizontal=96 pickets Vertical=624 pickets Square posts=49 posts Track=95.80 meters but we rounded it off to 96 meters My equation to calculate how many sections required was as follows. Horizontal= 48x2 because there is 48 sections and 2 in each. Vertical= 48x13 because there was 48 sections and 13 in each. Square posts= 1x48+1 because there is 1 in each section and add one for the end. This means that that 48 sections would be needed and not include a gate in the middle of the picket fence

( Investigating patterns Criteria B) To calculate the number of Pickets ( p), Uprights (u) and Horizontal pieces (h) we looked carefully at the nursery picket fence and found out that most sections contained exactly …….. pickets, ……… horizontals and …………….. Upright support posts. To assist us with our rules we needed to create tables. Our rules are: p=13s h= 2s u=+1 SectionPickets SectionHorizontal Slats SectionUprights

My reflection( reflection in mathematics Criteria D) Do you think your overall method was successful? What aspect of the task represented the biggest challenge? How did you solve this? Was there another method you could have followed to complete this challenging part? I think that my method was kind of successful, maybe I did a small mistake but I think I did pretty good. I think the biggest challenge was to measure the track and the pickets and seeing if it fits in. I don’t think that there would be another method for measuring the track and the pickets to make them fit in again, if there was I would like to learn how to use it. When you were measuring the length of the track and the length of a picket section how did you go about this? Did you need to be accurate? How did you ensure accuracy? I think that Philippine and I measured the track good well, We really needed to be accurate because we needed to know how many pickets were needed, We ensured our accuracy by asking other people what they got and it was all about the same, since we got 95.80m, we rounded it off to 96m so it would be easier to calculate. If the number of sections required along the length of the field wasn’t a whole number, then how did you solve this? Do you think your method for solving this worked? Could this have been done in a better way? We R rounded it off as I said up above, I think that it was a good idea to do this because it was easier then using decimals in our calculations, I think that for me, it was the best way to round it off. Reflection of work with my partner ( ATL on collaboration) In future I would chose to work collaboratively/independently –why? why not? I would choose to work collaboratively because I think that the answers would be more accurate and more realistic if everyone puts their answer and we would see if the answer was good, I also think that working collaboratively would be faster because you can put (for example) a group measuring the pickets and maybe another group measuring the track, You would get to come up with the rule and write down your reflection with more time. Plus, you can also come up with an answer together and decide on it and if someone did something wrong, the other people in the group could kind of help him/her.