K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

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Teacher’s Guide in MATHEMATICS Quarter 1 to 4

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K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

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K TO 12 GRADE 4 TEACHER’S GUIDE IN SCIENCE (Q1-Q4)LiGhT ArOhL

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K TO 12 GRADE 4 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 TEACHER’S GUIDE IN ENGLISH (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN ENGLISH (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN ENGLISH (Q1-Q4)LiGhT ArOhL

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K TO 12 GRADE 4 LEARNER’S MATERIAL IN FILIPINO (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN FILIPINO (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 LEARNER’S MATERIAL IN HEALTH (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN HEALTH (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN HEALTH (Q1-Q4)LiGhT ArOhL

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K TO 12 GRADE 4 TEACHER’S GUIDE IN FILIPINO (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN FILIPINO (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 TEACHER’S GUIDE IN EDUKASYON SA PAGPAPAKATAO (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN EDUKASYON SA PAGPAPAKATAO (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN EDUKASYON SA PAGPAPAKATAO (Q1-Q4)LiGhT ArOhL

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K TO 12 GRADE 4 TEACHER’S GUIDE IN EPP (Q1-Q4)

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K TO 12 GRADE 4 TEACHER’S GUIDE IN SCIENCE (Q1-Q4)

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K TO 12 GRADE 4 TEACHER’S GUIDE IN SCIENCE (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 TEACHER’S GUIDE IN ENGLISH (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN ENGLISH (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN ENGLISH (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 LEARNER’S MATERIAL IN FILIPINO (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN FILIPINO (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN FILIPINO (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 LEARNER’S MATERIAL IN HEALTH (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN HEALTH (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN HEALTH (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 TEACHER’S GUIDE IN FILIPINO (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN FILIPINO (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN FILIPINO (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 TEACHER’S GUIDE IN EDUKASYON SA PAGPAPAKATAO (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN EDUKASYON SA PAGPAPAKATAO (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN EDUKASYON SA PAGPAPAKATAO (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 TEACHER’S GUIDE IN EPP (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN EPP (Q1-Q4)

K TO 12 GRADE 4 TEACHER’S GUIDE IN EPP (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 LEARNER’S MATERIAL IN EPP (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN EPP (Q1-Q4)

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K TO 12 GRADE 4 LEARNER’S MATERIAL IN ESP (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN ESP (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN ESP (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 5 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 5 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)

K TO 12 GRADE 5 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 LEARNER’S MATERIAL IN ARTS (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN ARTS (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN ARTS (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 LEARNER’S MATERIAL IN SCIENCE (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN SCIENCE (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN SCIENCE (Q1-Q4)LiGhT ArOhL

K TO 12 GRADE 4 LEARNER’S MATERIAL IN ARALING PANLIPUNAN (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN ARALING PANLIPUNAN (Q1-Q4)

K TO 12 GRADE 4 LEARNER’S MATERIAL IN ARALING PANLIPUNAN (Q1-Q4)LiGhT ArOhL

Teacher's Guide in Mathematics 4

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K TO 12 GRADE 4 LEARNER’S MATERIAL IN PHYSICAL EDUCATION (Q1-Q4)

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K TO 12 GRADE 4 TEACHER’S GUIDE IN MATHEMATICS (Q1-Q4)

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2. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

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12. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

13. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

14. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

15. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

16. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

17. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

18. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

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133. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

134. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

135. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

136. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

137. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

138. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

139. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

140. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

141. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

142. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

143. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

144. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

145. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

146. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

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148. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

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247. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

248. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

249. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

250. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

251. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

252. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

253. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

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326. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

327. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

328. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

329. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

330. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

331. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

332. D EPED C O PY All rights reserved. No part of this material may be reproduced or transmitted in any form or by any means - electronic or mechanical including photocopying – without written permission from the DepEd Central Office. First Edition, 2015.

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