<span style="font-size: 11.0pt; line-height: 115%; font-family: ">A abordagem didática dos números irracionais nos livros didáticos sempre se apresenta a partir de alguns exemplos como </span><span style="font-size: 11.0pt; line-height: 115%; font-family: "><img src="file:///C:\Windows\system32\config\SYSTEM~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.gif" alt="" width="18" height="22" /></span><span style="font-size: 11.0pt; line-height: 115%; font-family: ">, </span><span style="font-size: 11.0pt; line-height: 115%; font-family: "><img src="file:///C:\Windows\system32\config\SYSTEM~1\AppData\Local\Temp\msohtmlclip1\01\clip_image004.gif" alt="" width="18" height="22" /></span><span style="font-size: 11.0pt; line-height: 115%; font-family: ">, </span><span style="font-size: 11.0pt; line-height: 115%; font-family: "><img src="file:///C:\Windows\system32\config\SYSTEM~1\AppData\Local\Temp\msohtmlclip1\01\clip_image006.gif" alt="" width="18" height="22" /></span><span style="font-size: 11.0pt; line-height: 115%; font-family: "><span style="mso-spacerun: yes;"> </span>e o </span><span style="font-size: 11.0pt; line-height: 115%; font-family: "><img src="file:///C:\Windows\system32\config\SYSTEM~1\AppData\Local\Temp\msohtmlclip1\01\clip_image008.gif" alt="" width="9" height="20" /></span><span style="font-size: 11.0pt; line-height: 115%; font-family: ">, </span><span style="font-size: 11.0pt; line-height: 115%; font-family: ">sem, no entanto, discutir as características específicas e que os diferenciam dos demais números trabalhados até então. Vale ressaltar que o conjunto dos números irracionais é importantíssimo para a formação da reta real, uma vez que os números irracionais ocupam a maior parte da reta real. Neste artigo, apresentamos uma reflexão sobre os possíveis elos entre os PCN’s e a BNCC, referenciais curriculares para os autores de livros didáticos, acerca do ensino de números irracionais na Educação Básica através de um levantamento bibliográfico desses documentos considerando também as análises de Ripol quanto ao ensino desses números a partir dos livros didáticos de matemática do Ensino Fundamental e o ensino destes na sala de aula. Nessa perspectiva, tentamos enxergar o ensino dos números irracionais a partir dos livros didáticos do Ensino Fundamental com novos horizontes, deixando de lado as características engessadas e mecanizadas apresentadas por eles, até então, buscando assim tentar entender as possíveis contribuições que PCN e, mas recentemente, a BNCC, podem proporcionar aos autores de livros didáticos e, consequentemente, ao ensino de números irracionais.  </span><!--[if !mso]> <mce:style><!  v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} --> <!--[endif] --><!--[if gte mso 9]><xml> <o:DocumentProperties> <o:Author>Vanessinha</o:Author> <o:Version>12.00</o:Version> </o:DocumentProperties> </xml><![endif]--><!--[if gte mso 9]><xml> <w:WordDocument> <w:View>Normal</w:View> <w:Zoom>0</w:Zoom> <w:TrackMoves /> <w:TrackFormatting /> <w:HyphenationZone>21</w:HyphenationZone> <w:PunctuationKerning /> 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