Unit 6, Lesson 14: Evaluating Expressions with Exponents

14.1: Revisiting the Cube (10 minutes)

Setup: !89)*287.2,639473+1.298*3+59.*88-.2/8.1*+3003;*)'=&;-30*,6394).7(977.32.740&=&2)(3140*8*8-*8&'0*

Lesson Goals

:&09&8**<46*77.3278-&8-&:*&2*<432*28&2)32*38-*634*6&8.32 '=(&66=.2,

39834*6&8.327.28-*(32:*28.32&036)*6

Required Materials

Student task statement

&7*)328-*,.:*2.2+361&8.32;-&838-*61*&796*1*2873+8-*759&6*&2)(9'*(390);*A2)

Possible responses

!**0*773240&2+367&140*6*74327*7

Student task statement

(9'*-&77.)*0*2,8-.2(-*7&)&7&=78-*796+&(*&6*&3+8-*(9'*.7.2



&2)3&-7&=78-*796+&(*

&6*&3+8-*(9'*.7.2



3=39&,6**;.8-*.8-*63+8-*1<40&.2=3966*&732.2,

&)&@7*8-3) 3&-@7*8-3)

Possible responses

&)&@773098.32.7(366*(8<40&2&8.327

:&6= !&140**<40&2&8.32"-*(9'*-&7

+&(*7&2)*&(--&7&2&6*&3+ 36

Student task statement

:&09&8*8-**<46*77.327.232*3+8-*(309127%3964&682*6;.00;36/328-*38-*6(30912-*(/;.8-=396

4&682*6&+8*6=39A2.7-*&(-63;%396&27;*67.2*&(-63;7-390)'*8-*7&1*C+=396&27;*67&6*2@88-*

Possible responses

Lesson Synthesis (5 minutes)

.:*789)*287&234436892.8=83;6.8*8-*.63;2291*6.(&0*<46*77.32;.8-&2*<432*28&2)32*38-*634*6&8.32&2)8-*283*:&09&8*.8

.,-0.,-88-&883*:&09&8**<46*77.327.2:30:.2,*<432*287;*(328.29*83+3003;8-*36)*68-&8;*-&:*&,6**)9432+3634*6&8.327

$-*2&2*<432*283((967.28-*7&1**<46*77.32&71908.40.(&8.3236).:.7.32;**:&09&8*8-**<432*28A678920*77'6&(/*877&=

38-*6;.7*

 &2=39A2)&7*83+).B*6*28;-30*291'*678-&81&/*8-.7*59&8.32869*

 3;&'3988-.732*

 2(*=39-&:*;36/*)328-.7&0.880*;-.0*=39(&292)*678&2)&463'0*18-&8.7+&1397.28-*-.7836=

3+1&8-0&78-.774&(*.783371&0083(328&.2.8C+=39&6*.28*6*78*)(327.)*6)3.2,731*+968-*6

6*7*&6(-32 Fermat’s Last Theorem

Student task statement

&)&&2)3&-;&28*)83A2) 8-*838&0:3091*3+&(9'*&2)&6*(8&2,90&646.71"-*=/23;8-*46.717

:3091*.7(9'.(92.87&2)8-*=/23;8-*(9'*-&77.)*0*2,8-73+ 92.87&)&7&=78-*838&0:3091*.7

Possible responses

3&-773098.32.7(366*(8!&140*

6*&732.2,"-*(9'*-&7&:3091*3+

(9'.(92.87&2)8-*&)).8.32&0