4th Grade Division

Lesson 1

Today’s big idea is “Multiplication and division are inverse operations and both can be represented using rectangular arrays or equal groups.”

Today you are going to look for evidence to prove the big idea.

Make a conjecture

Gallery of Arrays

Observe the arrays that are around us.

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TILES

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http://www.google.com/imgres?q=donuts+on+a+tray&hl=en&sa=X&qscrl=1&nord=1&rlz=1T4SKPT_enUS441US441&biw=1920&bih=924&tbm=isch&prmd=imvnsa&tbnid=XGI4WP1kYIr41M:&imgrefurl=http://dennisconstantine.blogspot.com/2011/01/making-donuts.html&docid=uCsz38lXVBMXsM&imgurl=http://3.bp.blogspot.com/_sr7uyQ_aNLQ/TTejPF--1TI/AAAAAAAAAFM/yuvhDY063kM/s1600/donuts+tray.jpg&w=259&h=194&ei=nwjxT-DZOaPM2AXL0PSFAg&zoom=1&iact=hc&vpx=399&vpy=516&dur=7893&hovh=155&hovw=207&tx=125&ty=99&sig=112318774359346383096&page=2&tbnh=137&tbnw=180&start=49&ndsp=60&ved=1t:429,r:1,s:49,i:233

How many ways could you arrange ___ donuts on a tray?

http://www.google.com/imgres?q=christmas+tree+ornaments&start=118&hl=en&sa=X&qscrl=1&nord=1&rlz=1T4SKPT_enUS441US441&biw=1920&bih=924&addh=140&tbm=isch&tbnid=pNnR2GDR8o7mXM:&imgrefurl=http://www.howretro.com/2011/11/vintage-style-christmas-ornaments.html&docid=ehjEPyQVq5AwoM&imgurl=http://1.bp.blogspot.com/-iJAT0zb3Z4U/TsRe5Vc1mXI/AAAAAAAABeo/uIBnlhgfu5w/s1600/VINTAGE_SHINY_BRITE_PRODUCT_AMERICAN_MADE_GLASS_CHRISTMAS_TREE_ORNAMENTS.JPG&w=1200&h=1100&ei=VgHxT6O9FcTW2gXzhryDAg&zoom=1&iact=hc&vpx=1062&vpy=543&dur=1887&hovh=215&hovw=235&tx=163&ty=166&sig=112318774359346383096&page=3&tbnh=140&tbnw=153&ndsp=66&ved=1t:429,r:27,s:118,i:183

http://www.google.com/imgres?q=christmas+tree+ornaments&start=118&hl=en&sa=X&qscrl=1&nord=1&rlz=1T4SKPT_enUS441US441&biw=1920&bih=924&addh=140&tbm=isch&tbnid=zIEUcxIy9aM-YM:&imgrefurl=http://www.vintagetoys.com/toys/classified/273&docid=qKAeRdLhVfUw8M&imgurl=http://www.vintagetoysillustrated.com/vintagetoy/forsale/july/2010/VINTAGE_CHRISTMAS_TREE_ORNAMENTS_FANTASIA_PARAGON_SANTA_LAND_61_84.JPG&w=1200&h=900&ei=VgHxT6O9FcTW2gXzhryDAg&zoom=1&iact=hc&vpx=182&vpy=216&dur=2412&hovh=194&hovw=259&tx=184&ty=146&sig=112318774359346383096&page=3&tbnh=140&tbnw=187&ndsp=66&ved=1t:429,r:21,s:118,i:165

http://www.google.com/imgres?q=christmas+tree+ornaments&start=892&hl=en&sa=X&qscrl=1&nord=1&rlz=1T4SKPT_enUS441US441&biw=1920&bih=924&addh=140&tbm=isch&tbnid=DAQd_gEq8PzhLM:&imgrefurl=http://myvintagechristmasdecorations.com/vintage-hand-painted-beautiful-pink-poland-glass-christmas-ornaments-santa-iob/&docid=lL2BaU7qYag7lM&itg=1&imgurl=http://myvintagechristmasdecorations.com/wp-content/uploads/2012/07/-2283571109079701630.jpg&w=300&h=400&ei=PgHxT9nQL-nu2gWEjqmEAg&zoom=1&iact=hc&vpx=1521&vpy=307&dur=3140&hovh=259&hovw=194&tx=109&ty=152&sig=112318774359346383096&page=15&tbnh=135&tbnw=102&ndsp=64&ved=1t:429,r:62,s:892,i:198

How would you design boxes for these ornaments?