Module 1 - :@0.734315:0.958882:0.839453:0.958882:0.839453:0.939690:0.734315:0.939690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
CLIL:@0.839453:0.959063:0.880101:0.959063:0.880101:0.939690:0.839453:0.939690:0.000000:0.000000:0.000000:0.000000
47:@0.956598:0.960538:0.979073:0.960538:0.979073:0.941166:0.956598:0.941166:0.000000:0.000000
MATH :@0.531529:0.099493:0.640018:0.099493:0.640018:0.067205:0.531529:0.067205:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.640016:0.101243:0.652255:0.101243:0.652255:0.059269:0.640016:0.059269:0.000000
 :@0.652255:0.101243:0.669852:0.101243:0.669852:0.059269:0.652255:0.059269:0.000000
Integral Calculus:@0.669852:0.098909:0.909217:0.098909:0.909217:0.069851:0.669852:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ella draws a cross-section of the pyramid. This means she can work out the area and then the :@0.097330:0.190950:0.969707:0.190950:0.969707:0.171759:0.097330:0.171759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
volume of sand she’ll need for each layer .:@0.097330:0.209055:0.488544:0.209055:0.488544:0.189864:0.097330:0.189864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
width (w):@0.480138:0.264703:0.550575:0.264703:0.550575:0.248559:0.480138:0.248559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.541395:0.296938:0.550575:0.296938:0.550575:0.280794:0.541395:0.280794:0.000000
5:@0.541395:0.316641:0.550575:0.316641:0.550575:0.300497:0.541395:0.300497:0.000000
4:@0.541395:0.336344:0.550575:0.336344:0.550575:0.320200:0.541395:0.320200:0.000000
3:@0.541395:0.356047:0.550575:0.356047:0.550575:0.339903:0.541395:0.339903:0.000000
2:@0.541395:0.375751:0.550575:0.375751:0.550575:0.359607:0.541395:0.359607:0.000000
1:@0.541395:0.395454:0.550575:0.395454:0.550575:0.379310:0.541395:0.379310:0.000000
2 4 6 8 :@0.616431:0.425338:0.793597:0.425338:0.793597:0.409194:0.616431:0.409194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10  :@0.811493:0.425338:0.849753:0.425338:0.849753:0.409194:0.811493:0.409194:0.000000:0.000000:0.000000:0.000000
12:@0.867649:0.425338:0.882431:0.425338:0.882431:0.409194:0.867649:0.409194:0.000000:0.000000
height (h):@0.869261:0.443119:0.942096:0.443119:0.942096:0.426975:0.869261:0.426975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.097762:0.227232:0.106045:0.227232:0.106045:0.208041:0.097762:0.208041:0.000000
1. Identify the area of each colored :@0.097762:0.248898:0.429377:0.248898:0.429377:0.229706:0.097762:0.229706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
section using the following equations::@0.097762:0.267003:0.434863:0.267003:0.434863:0.247812:0.097762:0.247812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
the area of a trapezoid is :@0.097762:0.288669:0.343076:0.288669:0.343076:0.269477:0.097762:0.269477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1/2(a+b)*h:@0.343078:0.288669:0.427791:0.288669:0.427791:0.269477:0.343078:0.269477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.427791:0.288669:0.439933:0.288669:0.439933:0.269477:0.427791:0.269477:0.000000:0.000000
where a and b measure the width of :@0.097762:0.306774:0.444736:0.306774:0.444736:0.287582:0.097762:0.287582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
the section:@0.097762:0.324879:0.196166:0.324879:0.196166:0.305688:0.097762:0.305688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
the area of the red triangle is :@0.097762:0.346545:0.378535:0.346545:0.378535:0.327353:0.097762:0.327353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
½(w*h):@0.378539:0.346545:0.436355:0.346545:0.436355:0.327353:0.378539:0.327353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. Using the equation to calculate the :@0.097762:0.389876:0.448575:0.389876:0.448575:0.370685:0.097762:0.370685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
volume of a pyramid (1/3.:@0.097762:0.407982:0.331516:0.407982:0.331516:0.388790:0.097762:0.388790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w .h:@0.331516:0.407982:0.366728:0.407998:0.366728:0.388807:0.331516:0.388790:0.000000:0.000000:0.000000:0.000000
2:@0.346531:0.401590:0.352414:0.401590:0.352414:0.390401:0.346531:0.390401:0.000000
), calculate :@0.366728:0.407998:0.472047:0.407998:0.472047:0.388807:0.366728:0.388807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
the volume of sand to fill each layer. :@0.097771:0.426103:0.440097:0.426103:0.440097:0.406912:0.097771:0.406912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. Complete the table with your results.:@0.097771:0.469435:0.450872:0.469435:0.450872:0.450243:0.097771:0.450243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Color:@0.146636:0.513381:0.195768:0.513381:0.195768:0.494190:0.146636:0.494190:0.000000:0.000000:0.000000:0.000000:0.000000
Area:@0.426649:0.513381:0.470272:0.513381:0.470272:0.494190:0.426649:0.494190:0.000000:0.000000:0.000000:0.000000
Volume:@0.706662:0.513381:0.772338:0.513381:0.772338:0.494190:0.706662:0.494190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
red:@0.146636:0.534972:0.176187:0.534972:0.176187:0.515780:0.146636:0.515780:0.000000:0.000000:0.000000
1/3*2 *2 = 2.66cm:@0.706662:0.534972:0.861089:0.534966:0.861089:0.515775:0.706662:0.515780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.749969:0.528558:0.755852:0.528558:0.755852:0.517370:0.749969:0.517370:0.000000
3:@0.861089:0.528558:0.867664:0.528558:0.867664:0.517370:0.861089:0.517370:0.000000
orange:@0.146636:0.556552:0.211106:0.556552:0.211106:0.537360:0.146636:0.537360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
yellow:@0.146636:0.578142:0.201857:0.578142:0.201857:0.558951:0.146636:0.558951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
blue:@0.146636:0.599733:0.184209:0.599733:0.184209:0.580541:0.146636:0.580541:0.000000:0.000000:0.000000:0.000000
green:@0.146636:0.621323:0.198019:0.621323:0.198019:0.602132:0.146636:0.602132:0.000000:0.000000:0.000000:0.000000:0.000000
purple:@0.146636:0.642913:0.203527:0.642913:0.203527:0.623722:0.146636:0.623722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
½(6+5)*2 = 11cm:@0.426649:0.642913:0.563045:0.642913:0.563045:0.623722:0.426649:0.623722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.563047:0.636484:0.568931:0.636484:0.568931:0.625295:0.563047:0.625295:0.000000
D:@0.072616:0.703568:0.091161:0.703568:0.091161:0.679352:0.072616:0.679352:0.000000
 :@0.091160:0.702512:0.099443:0.702512:0.099443:0.683320:0.091160:0.683320:0.000000
 :@0.142049:0.702512:0.150332:0.702512:0.150332:0.683320:0.142049:0.683320:0.000000
Discuss in your group.:@0.150332:0.702693:0.362757:0.702693:0.362757:0.683320:0.150332:0.683320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ella’s friend loves her idea of party favors, :@0.531060:0.753176:0.924365:0.753176:0.924365:0.733985:0.531060:0.733985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
and decides to do the same with glass :@0.531060:0.771281:0.895642:0.771281:0.895642:0.752090:0.531060:0.752090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
spheres for her birthday. How could she use :@0.531060:0.789386:0.942319:0.789386:0.942319:0.770195:0.531060:0.770195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral calculus to work out the volume of :@0.531060:0.807492:0.928048:0.807492:0.928048:0.788300:0.531060:0.788300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sand in each layer of the sphere?:@0.531060:0.825597:0.837764:0.825597:0.837764:0.806405:0.531060:0.806405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S/he would again use a cross-section of the :@0.531060:0.847262:0.942880:0.847262:0.942880:0.828071:0.531060:0.828071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sphere to work out the area of each layer. :@0.531060:0.865368:0.929511:0.865368:0.929511:0.846176:0.531060:0.846176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
She could then use a triple integral to work :@0.531060:0.883473:0.935787:0.883473:0.935787:0.864281:0.531060:0.864281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
out the volume of each section.:@0.531060:0.901578:0.819271:0.901578:0.819271:0.882386:0.531060:0.882386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248624:0.946277:0.888601:0.114341:0.744192:0.051768:0.104215:0.883703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095137:0.659264:0.095137:0.341881:0.077090:0.341881:0.077090:0.659264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000