1. 5th Grade Math Content Training Session 1
Melissa Carli
3-5 Math Program Specialist

2. Topic 1 Task
5 min
Bring base ten blocks.
5.NBT.1.2

3. Sample Explanation
When you multiply by a ten, you add a zero to the product.
Therefore, 10x10=100.
When you multiply by a hundred, you add two zeros to the product. Therefore, 10x100=1,000.
Or would you rather a student justify their answer this way….
1 min

4. There are ten batteries in each pack.
Ten packs of batteries is ten groups of ten, or one hundred. Therefore, 10 x 10 = 100
One hundred packs of batteries is one hundred groups of ten, which can be rearranged as ten groups of one hundred, or one thousand. Therefore, 10 x 100 = 1,000
5 min
Talk to a neighbor about this justification

5. 8 Mathematical Practices
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
1 min

6. Structured Practice Sage ‘N Scribe
3 min
Fold a blank sheet of paper into two halves.
Pearson Independent Practice
5.NBT.1.2

7. Structured Practice Sage ‘N Scribe ~Switch Roles~
3 min
Pearson Independent Practice
5.NBT.1.2

8. 5th Grade Content Training
Learning Goal:
Participants will gain a deeper understanding of content taught in the first quarter and will plan collaboratively for instruction aligned to the Math Florida Standards.
Agenda
Examine resources to unpack/understand the standards
Practice and plan for teaching of strategies
Plan for the use of tasks and the teaching of strategies to align with the standards
2 minutes
Next Steps:
Share your plans with your team.
Bring feedback from 1st Quarter plans and tasks in October.
Bring questions/ideas for 2nd Quarter Topics in October.
Summarizing Activity:
Exit Ticket

9. Celebrations
2 min

10. Incoming 5th Graders

12. Today’s Focus
1 min

13. CRA Concrete: Manipulatives
Representational: Drawings and Visual Models
Abstract: Numbers and equations
Look at Topic 1. How was Topic 1 sequenced to align to the CRA method?
Concrete: Use base ten blocks to explore decimal place value and multiplying by ten.
Representational: Pictures, place value charts
Abstract: Moving the decimal
5 min

14. Topic 1 Continued
5 min
IllustrativeMathematics.org
5.NBT.1.4

15. 5 min
Since there are not any numbers present on the number line, you are forced to reason and think conceptually about rounding as opposed to using “rules”.

16. 8 Mathematical Practices
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
1 min

17. Topic 1 Thinking Map
1 min

18. 1.07
5 min
Fluency & number sense building activity. Students will not be able to complete all parts in the beginning of the year. Equations may become more advanced later in the year to include addition, subtraction, multiplication, & division.

19. Read the standards. We are going to watch an EngageNY studio talk to make sense of them.
2 min

20. EngageNY Math Studio Talk
(1:05– 10:50)
10 min

21. Topic 1 Ideas
5 min
Collaborative Time: Take time to share instructional strategies & tasks that have been successful in your classroom.

22. Topic 2 Task
Bring base ten blocks & hundredths grids
5 min
5.NBT.2.7

23. What’s the Misconception?
3 min
Pearson Teacher’s Edition

24. How can you model this… With hundredth grids? With base ten blocks?
With place value chart?
With a number line?
10 min

25. 8 Mathematical Practices
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Bring decimal grids, base ten blocks
1 min

26. Thinking Map
1 min

27. Structured Practice White Board
Picture/Manipulatives
Equation
One person does 3 & 4. Then switch for 5 & 6. You may use base ten blocks to help you, but you must also show the addition & subtraction calculation.
5 min for sage and scribe
5.NBT.2.7

28. Structured Practice Sage ‘N Scribe
One person does 3, switch for 4. Same for 5 & 6. You may use base ten blocks to help you, but you must also show the addition & subtraction calculation.
5.NBT.2.7

29. Structured Practice Sage ‘N Scribe
Solution
Sharing
One person does 3, switch for 4. Same for 5 & 6. You may use base ten blocks to help you, but you must also show the addition & subtraction calculation.
5.NBT.2.7

30. Structured Practice Sage ‘N Scribe
One person does 3, switch for 4. Same for 5 & 6. You may use base ten blocks to help you, but you must also show the addition & subtraction calculation.
5.NBT.2.7

31. Structured Practice Sage ‘N Scribe
Solution
Sharing
One person does 3, switch for 4. Same for 5 & 6. You may use base ten blocks to help you, but you must also show the addition & subtraction calculation.
5.NBT.2.7

32. Structured Practice Sage ‘N Scribe
Skip 5 & 6
5.NBT.2.7

33. Structured Practice Sage ‘N Scribe
Solution
Sharing
Skip 5 & 6
5.NBT.2.7

34. Structured Practice Sage ‘N Scribe
Skip 5 & 6
5.NBT.2.7

35. Structured Practice Sage ‘N Scribe
Solution
Sharing
Skip 5 & 6
5.NBT.2.7

36. Read the standards. We are going to watch an EngageNY studio talk to make sense of them.
3 min

37. EngageNY Math Studio Talk
(14:32-20:30)
10 min

38. Topic 2 Ideas
5 min
Collaborative Time: Take time to share instructional strategies & tasks that have been successful in your classroom.

39. Topic 3 Task
10 min
5.NBT.2.5

40. Solution Sharing
How is your solution strategy similar/different from your peers’ solution strategy?
5 min

41. 8 Mathematical Practices
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
1 min

42. Thinking Map
1 min

43. Structured Practice Group Consensus
First work independently to solve. Then agree as a group on the correct answer. Make sure you can justify your group’s decision.
5 min
5.NBT.2.5

44. Read the standards.
2 min

45. Progression of Multiplication
Entire video.
10 min

46. Topic 3 Ideas
5 min
Collaborative Time: Take time to share instructional strategies & tasks that have been successful in your classroom.

47. Topic 4 IllustrativeMathematics.org 5.NBT.1.2 Bring base ten blocks.
3 min
IllustrativeMathematics.org
5.NBT.1.2

48. Sample Explanation
When multiplying by 10, move the decimal one space to the left. So 0.4 x 10 equals 4 and 3.4 x 10 = 34.
Or would you rather a student justify why like this…
5 min

49. We can also see this as 4 groups of 10 tenths.
0.4 is 4 tenths
We can also see this as 4 groups of 10 tenths.

50. Now justify 3.4 x 10 = 34
3 min
EngageNY
5.NBT.1.2

51. 8 Mathematical Practices
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
1 min

52. Understanding Powers of Ten
1 min

53. Read the standards. We are going to watch an EngageNY studio talk to make sense of them.
5 min

54. EngageNY Math Studio Talk
(20:31-24:25)
5 min

55. Topic 4 Ideas
5 min
Collaborative Time: Take time to share instructional strategies & tasks that have been successful in your classroom.

56. Next Steps
Share your plans and content knowledge with your grade level teams
Bring feedback, ahas or uh-ohs when we meet in October
Bring ideas or questions for 2nd Quarter Topics for our October training
1 min

57. 5th Grade Content Training
Learning Goal:
Participants will gain a deeper understanding of content taught in the first quarter and will plan collaboratively for instruction aligned to the Math Florida Standards.
Agenda
Examine resources to unpack/understand the standards
Practice and plan for teaching of strategies
Plan for the use of tasks and the teaching of strategies to align with the standards
2 minutes
Next Steps:
Share your plans with your team.
Bring feedback from 1st Quarter plans and tasks in October.
Bring questions/ideas for 2nd Quarter Topics in October.
Summarizing Activity:
Exit Ticket

58. 5 min

59. I am happy to… Support you In PLCs By modeling lessons
By helping to plan problem based learning lessons and tasks
By providing additional content or standards help
Have your CRT or Math Coach contact me to schedule additional support.
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