pentagons
1- Regular
arecombinedto makenewfigures.
Eachpentagontouchesno morethan2 otherpentagons.
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Thesidelengthof eachpentagonis 1 unit.
Theperimeterof eachfigureis recordedin a table.
1
1
5
a) Copyandcompletethe tablefor the first4 figures.
b) Writethe patternrulefor the perimeters.
c) Usethe patternto predictthe perimeterof the figure
with 10 pentagons.
With20 pentagons.
2. Hereis a patternof figuresmadewith ColourTiles.
Figure1
Figure2
Figure3
Figure4
Thepatterncontinues.
a) Drawthe nexttwo figureson grid paper.
b) Copyand completethe tablefor the first6 figures.
Figure
1
Numberof GreenTiles Numberof YellowTiles
1
2
10
..w,."*..,ry..rff.
c) Writethe patternrulefor the numberof greentiles.
Thenumberof yellowtiles.
d) Howmanygreentileswill be in the 15thfigure?
e) Howmanyyellowtileswill be in the 20thfigure?
f) Willanyfigurehave31 greentiles?41 yellowtiles?Explain.
t4
3. PizzaParlourhaspricesthat followa pattern.
Pizza
Number
Ptzza Size
Pricewith
Cheese($)
Price with Two
Toppings($)
1
4-slice
5
7
2
8-slice
10
12
3
12-slice
15
17
4
16-slice
20
5
20-slice
a) Copyandcomplete
the table.
b) Writea patternrulefor the pricewith cheese.
cl Writea patternrulefor the pricewith two toppings.
d) Thepatterns
continue.
pizzawith two toppings?
Whatisthe priceof a 24-slice
Howisthe pricewith two toppingsrelatedto the price
with cheese?
+1
t'*g
4. Dreamylce-Cream
Company
sells
a single-scoop
sundaefor $1.25.
Eachadditional
scoopcosts51.25.
Thereis a fixedpriceof 50Cfor
extratoppingon allsundaes.
a) Makea tableto showthe pricesof
the first4 sizes
of sundaes
with extratopping.
you see.
b) Writea patternrulefor anypatterns
c) Whatisthe priceof a 6-scoop
sundaewith extratopping?Explain.
Showyourwork.
Number Strategies
Usea questionfromthis lesson.
Howcanpatternsin a tablehelpyou solvea
problem,
withoutextendingthe table?
Usewords,pictures,
or numbersto explain.
Assrssmrnr Focus I Question
4
in eac hs et
0r derthedecim als
fromleastto greatest.
2.3,1.3,10.1
1.98,2.01,1.89
0.35,0.23,2.30