5th Grade Math Content Training Session 1 Melissa Carli 3-5 Math Program Specialist carlim@lake.k12.fl.us

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

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

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

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

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

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

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

Celebrations 2 min

Incoming 5th Graders

Today’s Focus 1 min

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

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

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”.

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

Topic 1 Thinking Map 1 min

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.

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

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

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

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

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

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

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

Thinking Map 1 min

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

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

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

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

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

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

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

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

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

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

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

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

Topic 3 Task 10 min 5.NBT.2.5

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

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

Thinking Map 1 min

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

Read the standards. 2 min

Progression of Multiplication Entire video. 10 min

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

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

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

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.  

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

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

Understanding Powers of Ten 1 min

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

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

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

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

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

5 min

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. carlim@lake.k12.fl.us (352) 253-6872