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4th Grade: Place Value and Multi-Digit Addition and Subtraction
(And practice with multiplication fact automaticity)
​
​4 Weeks: August 1 - 26, 2016

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Investigations/Pearson online
Username:Valley Elementary Test
Password: Lilac#24

50622_4th_unit_5.pdf
File Size: 92198 kb
File Type: pdf
Download File

Picture
Math Expressions Online Component
www-k6.thinkcentral.com/ePC/start.do
Curricular Resources
Investigations - Unit 5: Landmarks and Large Numbers            
​Math Expressions - Unit 1: Place Value and Multi-Digit Addition and Subtraction
Note: Every year we notice students need more hands-on experiences in uncovering the organization of our base ten system.  We also notice that they seem fragile with subtraction.  Our third grade team is building in more time in 2016-2017 for students to work extensively with addition and subtraction attempting.  However, it would be a good idea for you to spend some time this year on the 4th grade Common Core standards specific to procedural fluency with addition and subtraction.  In addition to the experiences in this unit, focusing on  subtraction strategies during your Number Talks would be a great thing to do.  Students in third grade have used base ten blocks and drawings, the open number line, and a variety of strategies to decompose numbers and subtract in ways that make sense.  Some of the students also use addition for solving subtraction problems.  

Multiplication Fact Practice
You can go to the Math Fact Fluency tab on the main Curriculum and Assessment page to get some ideas for an effective system.

​Additionally, here are some links to games for math practice while you are focusing on addition and subtraction for your core lessons. 
NC Game Packet/Pathways/Times Ten/Mult. Tic Tac Toe/Factor Captor/Target 300/ Factor (Salute!)
California Common Core Standards
Picture

​Curriculum and Pacing

Week 1

Pacing
Investigations Unit 5
Math Expressions Unit 1
Week 1:  August 1-5
Investigation 1: How Much is 1,000?
     M13 - M14 Family Letter


Session 1.1:  Construct the 1,000 Book
     Resource Masters:  
        English - M9Blank 100 Chart
        Spanish - R9 Blank 100 Chart
     Standards Practice 1.1:  Writing, Reading & Comparing Numbers 

Session 1.2:  Locate Numbers in the 1,000 Book
​

Session 1.3:  Play Changing Places ( add & subtract multiples of 10 & 100)
     Resource Masters:  
        English - 
M15 Changing Places     M10 - M11 Change Cards  
                          M12 Changing Places Recording Sheet​
        Spanish - R15 Changing Places     R10 - R11 Change Cards
                          R12 Changing Places Recording Sheet

​Session 1.4:  How Many Miles
(word problems with finding the difference between 1,000 and a 3-digit number)
​How Many  More Miles Practice Page (English)

Session 1.5A (Common Core Supplement):  Place Value
Understanding
- Rounding, Writing in Expanded Form, Comparing
**All Resource Masters in the supplement are at the end of the Pdf which is linked in the Common Core Supplement (above)
Practice:  
Math Expressions Practice Book p. 10:  Comparing Numbers


Session 1.5:
 Math Workshop and Assessment - Numbers to 1,000
     Resource Masters: 
        English:  M19 Assessment     M20  Assessment Checklist (wrong link - can't figure out why)
        Spanish:  R19 Assessment     R20 Assessment Checklist
For Math Workshop:  
         English:  M15 Changing Places     M10 - M11 Change Cards    
                          M12 Changing Places Recording Sheet
        Spanish:  R15 Changing Places     R10 - R11 Change Cards
                          R12 Changing Places Recording Sheet

Session 1.6:  Adding and Subtracting to 1,000 (Math workshop revisiting activities from previous lessons)
​
Lessons 1 - 2:  Place Value Drawings (we can skip these)

​Practice Book, page 8: Writing Numbers Different Ways

Homework and Remembering pages 3-4: Writing  Numbers in Different Ways

Lesson 3: Rounding (although students will do better with the Thousands Book model)

Differentiation Section (p. 27): On-Level - Round and Compare!

Homework and Remembering
p. 5-6
Rounding and Comparing

Week 2

Pacing
Investigations Unit 5
Math Expressions Unit 1
Week 2:  
​August 8-12
Investigation 2:  Adding It Up
Note:  This investigation has a lot of Math Journal pages.  Let's discuss what to do about that.  
​
Session 2.1  Solving Addition Problems

Session 2.2  Addition Strategies

Session 2.3  Starter Problems

Session 2.4  Studying the U.S. Algorithm for Addition

Session 2.5  Close to 1,000
     Resource Masters:  
        
English:  M16-18 Digit Cards       M21 Close to 1,000    
                          M22 Close to 10,000 Recording Sheet
        Spanish:  R16 - 18 Digit Cards     R21 Close to 1,000
                          R22 Close to 10,000 Recording Sheet

Session 2.6  Assessment - Solving an Addition Problem in Two Ways
     Resource Masters:    
        
English:  M23 Assessment  M16-18 Digit Cards       
                          
M21 Close to 1,000      M22 Close to 10,000 Recording Sheet
        Spanish:  R23 Assessment     R16-18 Digit Cards
                          R21 Close to 1,000     R22 Close to 10,000 Recording Sheet
 Lessons 6 - 8 focus on strategies with addition and some of the practice pages might be worth doing (We have found the rapid march through procedures to confuse students and we prefer the Investigations approach. ) 

Digital Resource:  They have a nice digital resource in Think Central.  In the Digital Resources Section, choose Base 10 and then click Add.

Week 3 (Explorations)

Pacing
Supplemental Explorations and Investigations Unit 5
Math Expressions Unit 1
Week 3, Days 1 & 2
​August 15 & 16
Base Ten Number System Explorations

A)  Exploring Geometric Patterns in the Base 10 System

 Exploring the geometric patterns of the base 10 system using Base Ten Blocks.


B)  Exploring Digit Patterns in the Base 10 System (see pictures below this section)  
How many different ways can you arrange ten Base 10 Blocks . . .
  • using only hundred flats and ten sticks
  • using only hundred flats and  unit cubes
  • using only ten sticks and unit cubes​
​How might you organize your work so you can find structure?
What numbers did you  make?
​What do you notice?



Lesson 4: Numbers to One Million -Patterns & Structure in Place Value,
  • Reading, and Writing
  • Practice Book, p. 12
  • Homework and Remember p. 7-8


​Lesson 5: Compare and Round Greater Numbers
  • Practice Book p. 13
  • Differentiated Instruction, p. 43 has some adaptable activities - could make them into games.
  • Homework and Remembering , p. 9-10

Sports Connection
We should be do something interesting with the Sports Connection on TE page 44.  It's about the seating capacity of football stadiums.  With the controversial Chargers stadium, let's discuss how to put together an engaging math research project into stadium seating capacities and perhaps even ticket sales earning potential of each stadium.

Week 3 cont. (Investigations)​

Pacing
Investigations Unit 5
Math Expressions Unit 1
Week 3, Days 3-5
​August 17 - 19
​​Investigation 3:  Working with Numbers to 10,000

Session 3.1:  Making a 10,000 Chart
     Resource Masters:  
        
English:  M9 Blank 100 Chart    
        
Spanish: R9 Blank 100 Chart

Session 3.2:  How Much Is 10,000?
     Resource Masters:
      
 English:  M9 Blank 100 Chart
        Spanish: R9 Blank 100 Chart

Session 3.3:  Working with the 10,000 Chart
     Resource Masters:
​        English:  M10-11 Change Cards   M24 Change Cards in the Thousands
        Spanish:  R10-11 Change Cards   R24 Change Cards in the Thousands

Session 3.4:  Thousands of Miles
     Resource Masters:
        
English:  M10-11 and M24 (Combined Deck of Change Cards)
                          M22 Close to 1,000 Recording Sheet
                          M25 Changing Places on the 10,000 Chart
        Spanish:  R10-11 and R24 (Combined Deck of Change Cards)
                          R22 Close to 1,000 Recording Sheet
                          R25 Changing Places on the 10,000 Chart

Session 3.5:  Adding Numbers in the Thousands
     Resource Masters:   
      
 English:  M26 City to City: How Many Miles?
        Spanish:  R26 City to City: How Many Miles

​Session 3.6A (Common Core Supplement): Larger Place Values

  ​
Value

Week 4

Pacing
Investigations Unit 5
Math Expressions Unit 1
Week 4:  
​August 22-26
Investigation 4:  Subtraction
Note:  This investigation has a lot of Math Journal pages.  Let's discuss what to do about that.  

Session 4.1: Representing Subtraction Problems

Session 4.2:  Strategies for Subtraction

Session 4.3: Assessment: Numbers to 10,000

     Resource Masters: 
        
English:  M27 Assessment:  Numbers to 10,000
                          M28 Assessment Checklist
        Spanish: R27 Assessment: Numbers to 10,000
                         R28 Assessment Checklist

Session 4.4:  Do I Add or Subtract?

Session 4.4A: Studying the U.S. Algorithm for Subtraction
​
Session 4.5:  Solving Addition and Subtraction Problems

Session 4.6:  Solving Addition and Subtraction Problems (cont.)

Session 4.7:  End of Unit Assessment

     Resource Masters:
      
 English:  M29 End of Unit Assessment 
        
Spanish: R29 End of Unit Assessment   


Lessons 9 - 14 explore different methods of subtraction with a lot of practice using the U.S. traditional algorithm.  It would be worth pulling some of the practice pages.

Pay attention to the Home School Activities.  They are all about distances and might connect nicely with Investigations' Thousands of Miles in Investigation 3.

Unit Review and Test
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