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 Second Grade Unit 1
Counting Coins and Combinations (Add/Subtract within 20)
(includes time and money)

​​Duration: 7
​ Weeks
August 1 - September 15



​Curricular Resources

Picture
Picture
Math Expressions - Unit 1:  Addition and Subtraction within 20
​Investigations -  Unit 1: Counting, Coins, and Combinations
​(Addition, Subtraction, and the Number System 1)
Username: Valley Elementary Test
​Password: Lilac#24

​
Valley-2nd Grade Trimester Standards
California Common Core Content Standards in this Unit
OPERATIONS AND ALGEBRAIC THINKING
Represent and solve problems involving addition and subtraction.

CCSS.MATH.CONTENT.2.OA.A.1
Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1
Add and subtract within 20.
CCSS.MATH.CONTENT.2.OA.B.2
Fluently add and subtract within 20 using mental strategies.2 By end of Grade 2, know from memory all sums of two one-digit numbers.
MEASUREMENT
Work with time and money.
CCSS.MATH.CONTENT.2.MD.C.7
Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.
CCSS.MATH.CONTENT.2.MD.C.8
Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?
Note:  A collection of number sense games is mentioned and games are linked throughout the weeks.  However, if you want to preview all the games, scroll all the way to the bottom of this page and you will see them all.

Week 1 

Curriculum for Week of August 1-4
Investigations Unit 1:   Introducing Math Tools and Routines

Day 1: Session 1.1 - Ten Cubes and Time
Number Talk
  1. Explore connecting cubes - representing arrangements with numerical expressions.
  2. Introduce What Time Is It? (Routines during Morning Meetings)

Blackline Masters:
     M1 - Using Ten Cubes        R1 Usar 10 Cubos
​     M2 - Clocks                             R2 Relojes
     M3-M4 - Family Letter      R3-R4 Carta a la Familia
Skip counting using counters
Day 2: Session 1.2 - Counting Cubes
     
Blackline Masters:
Number Talk:
     M5 - Cover and Count Shape A   R5 -Cubrir y contar: Figura A
     M6 - Cover and Count Shape B   R6-Cubrir y contar: Figura B
     M7-M8 - Family Letter                   R7-R8 - Carta a la Familia

Day 3: Session 1.3 - The Number Line
Number Talk
Introduction to the number line.
  • Students will build a number line using previous knowledge.
  • Students will practice how to make jumps.
  • Students will learn how to use the number line efficiently (jumping by 10s/5s and then 1s)
  • Student practice with the number line by playing the game "Guess my number"
Day 4: Session 1.4 - The Hundred Chart
Number Talk:
Students are introduced to the 100 chart.
  • Students complete an incomplete or an empty 100 chart.
  • Then, students can circle the tens and do squares as they count by 5s.
Picture
Day 5:  Session 1.5 - Today's Number
​
Number Talk:
     The routine, Today's Number, is introduced.
  • Students show multiple ways they can make a number.
Picture
​Supplemental Game for the Week:
     Poison (modify by starting with 7 counters instead of 13 - focus on explaining their logical thinking)
Picture

Related Literature

Book: Ten Friends
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entire_addition_and_subtraction_section.pdf
File Size: 10596 kb
File Type: pdf
Download File

Assessment: Guess my number 
Guess my number.


​Weeks 2-3 

Curriculum for Week of Aug. 7 - 18
Investigations Unit 1, Investigation 2 - Counting and Coins

NOTES:
1) Number Sense Focus:  During this time, we are still focusing on building a strong sense of "ten-ness" and combinations of 10.  At the same time, we are expanding students work with adding and subtracting within 20 using games, explorations, and word problems.

2) Telling Time: We are also continuing to build skill with telling time using the "What Time Is  It?" routine.

3)  Formative Assessment:  This is a good week to formatively assess students.  Investigations has checklists to guide your student observations.

Day 1:   
Number Talk:  Making Tens Strategy (check the Number Talks book link above)
**ME Unit 1, Lessons 1 -3, TE, p. 1 - 22 focuses on parts of teen numbers -  Math Mountain Practice Cards, Secret Code Cards (Lesson 2) and Practice Pages (Student Activity Book, pages 5-6;  HW and Remembering, pages 5-6).  In Lesson 3, they have students model making a ten by using coin strips - I recommend using ten frames instead. **

Lesson:  Investigations Session 2.1 Enough for the Class
​
Blackline Masters:
     
M9 (Routine:  Every Hour On the Hour)   Spanish:  R9
     M10 (Enough for the Class)  Spanish:  R10

Day 2:
Number Talk:  Making Tens Strategy (check the Number Talks book link above)
**ME Unit 1, Lessons 1 -3, TE, p. 1 - 22 focuses on parts of teen numbers -  Math Mountain Practice Cards, Secret Code Cards (Lesson 2) and Practice Pages (Student Activity Book, pages 5-6;  HW and Remembering, pages 5-6) **

Lesson:  Investigations Session 2.2 Counting Pennies
This is a nice introductory lesson to coins as well as an assessment opportunity of students' counting skills.

**Watch video in the right column.

​
Blackline Masters:
     M9 (Routine:  Every Hour On the Hour)   Spanish:  R9
     M10 (Enough for the Class)  Spanish:  R10
     M11 (Coins for Coin Charts)  Spanish:  R11
     M12 (Assessment Checklist: Counting Pennies)  Spanish:  R12

Math Workshop Choices:
  • ​Exploring Nickels Dimes and Quarters
  • Counting Pennies - Assessment
  • Enough for the Class
  • Number Game (teacher chooses one from list below)
​Games (you might want to choose one of these games for the Math Workshop time):  
For students who need to continue practice with combinations of 10
Build Ten
Tens Go Fish (this game is an entire lesson in Investigation 3 - you might want to wait although students probably could use it now)

Anything but Ten!
**Decks of Cards:  Ten Frame Cards      Numeral Cards

For students who are working strategically with sums to 20
Addition Tic Tac Toe
Missing Addend (Salute!)
Oh No! 20!
Addition Table Trail
Close to 0, 20, or 100
 Days 3-4:
Number Talk:  Making Tens Strategy  (check the Number Talks book link above)
**ME Unit 1, Lessons 4-5, TE pp. 23 - 36, has some worthwhile practice with Math Mountains, teen sums, and relating addition and subtraction.  A little attention to the making tens strategic thinking (which could be part of your number talk) and a follow-up workshop during Math Workshop would provide enough practice.**

Lesson:  Session 2.3 Counting Strips (You will need long strips of paper - like adding machine tape!)
This is an important experience for students to practice counting and writing numbers.  It will give you a lot of formative assessment information about students.  **You will need long strips of paper (like adding machine paper).**


Math Workshop Choices:
  • Number Strips
  • ​Exploring Nickels Dimes and Quarters
  • Counting Pennies - Assessment
  • Enough for the Class
  • Number Game (teacher chooses one from list below)

Blackline Masters: 
     M9 - Routine:  Every Hour On the Hour    Spanish:  R9
​Games (you might want to choose one to have as part of Math Workshop):  
For students who need to continue practice with combinations of 10
Build Ten
Tens Go Fish (this game is an entire lesson in Investigation 3 - you might want to wait although students probably could use it now)

Anything but Ten!
**Decks of Cards:  Ten Frame Cards      Numeral Cards

For students who are working strategically with sums to 20
Addition Tic Tac Toe
Missing Addend (Salute!)
Oh No! 20!
Addition Table Trail
Close to 0, 20, or 100
Day 5:
Number Talk: Making Tens Strategy (check the Number Talks book link above)
Lesson:  Session 2.4 Collect 25 cents
This session ties back to the number line and connects the coin work you have been doing.  It also support students with place value and strategically adding within 100.

Blackline Masters:  
     
M9 (Routine:  Every Hour On the Hour)    Spanish:  R9
     
M13 (Collect 25 cents)          Spanish:  R13
     M14 (How Many Pennies?)     Spanish:  R14

Any of the  number games or Math Workshop activities can be added if time permits.

​
Days 6-7:
Number Talk: Making Tens Strategy (check the Number Talks book link above)

Lesson:  Investigations Session 2.5  How Many Pockets 
This is a rich task/whole class exploration which incorporates writing with math.

​There is no time built-in for Math Workshop but students can continue with the Workshop activities from Days 4 & 5 if time permits.
​
Day 8:
Number Talk:  Making Tens Strategy (check the Number Talks book link above)
Lesson:  Investigations Session 2.6 Plus 1 or 2 Bingo

Math Workshop Choices
  • Plus 1 or 2 Bingo
  • Collect 25 cents
  • Counting Strips
  • Enough for the Class

Blackline Masters:
     M15–M18, Primary Number Cards    Spanish:  R15-R18   If you are not using manufactured decks, make copies. Cut apart cards and remove Wild Cards. (1 deck per pair)
     M19, Plus 1 or 2 BINGO  Spanish:  R19
     M20, Plus 1 or 2 BINGO Gameboard
        Spanish:  R20     Make copies. (1 of each per pair)
     M21–M22, Family Letter      Spanish:  R21 - R22  Make copies. (1 per student)
​


Day 9:
Number Talk:  Making Tens Strategy (check the Number Talks book link above)
Lesson: Investigations Session 2.7 Comparing Two Numbers
This is an entire Math Workshop day.

Math Workshop Choices:
  • Plus 1 or 2 Bingo
  • Collect 25 cents
  • Counting Strips
  • Enough for the Class
  • Number Game (teacher chooses one from list below)

Blackline Masters:
     M15 - M18, Primary Number Cards    Spanish:  R15-R18   Make copies. Cut apart cards. (1 deck per student to take and keep at home)
     M19, Plus 1 or 2 BINGO    Spanish: R19
    M20, Plus 1 or 2 BINGO Gameboard      Spanish: R20   Write "To Keep at Home" at the top of each. Make copies. (1 of each per student)
     Materials for Math Workshop See Session 2.6.
​​
Games (you might want to pick one to teach this week and use for the Math Workshop): 
**This document, Games Masters,  has cleaner copies of the game boards and directions than the links below.**  

For students who need to continue practice with combinations of 10
Build Ten
Tens Go Fish

 Anything but Ten!
**Decks of Cards:  Ten Frame Cards      Numeral Cards

For students who are working strategically with sums to 20
Addition Tic Tac Toe
Missing Addend (Salute!)
Oh No! 20!
Addition Table Trail
Close to 0, 20, or 100
Day 10:
Number Talk
What do your students seem to need for a number talk?  What would interest them yet be accessible to be solved mentally?
​
Lesson:  Investigations Session 2.8 Enough for the Class Assessment

​Math Workshop Choices:
  • Plus 1 or 2 Bingo
  • Collect 25 cents

Materials:
     M23 Assessment: Enough for the Class? Make copies. (1 per student)
     


Game: Making 25¢

Counting Pennies Videos

Students identify coins and their attributes.

Video 1

Video 2

Video 3

Additional Resources

Money Videos
Money (from Foclabulary

Money Books

Word Problems: Using 10 Frames

Plus 1 Plus 2/Minus 1 Minus 2 Bingo

These are additional games to reinforce concepts for students who need it
​Games:  Choose a couple games to teach students
For students who need to continue practice with combinations of 10
Build Ten
Tens Go Fish

Anything but Ten!
**Decks of Cards:  Ten Frame Cards      Numeral Cards

For students who are working strategically with sums to 20
Addition Tic Tac Toe
Missing Addend (Salute!)
Oh No! 20!
Addition Table Trail
Close to 0, 20, or 100


Rich Task: One is a Snail, Ten is a Crab (use as your first formative assessment of how students organize their thinking & basic addition skills as well as how they record their thinking)
Lesson Link:  One is a Snail, Ten Is a Crab
Book Link:  One is a Snail, Ten is a Crab Read Aloud on YouTube 

Tens Go Fish

Picture

Weeks 4-5 

Curriculum for Weeks of August 21 - September 1st
 
​
Investigations, Unit 1, Investigation 3 - Combinations of 10​

*Math Expressions:  Any of the practice from Math Expressions Unit 1, Lessons 1-5 would also fit during these weeks.*
Day 1:

Number Talk:  
Making Tens Strategy (check the Number Talks book link above)
Lesson:  Investigations Session 3.1 - Combinations of 10

Students learn and play the game, "Make Ten."
​New Routing Introduced:  Quick Images  

Blackline Masters:
     M25, Quick Images: Ten-Frames      Spanish: R25
     M24, Make 10 Make copies. (1 per student)     Spanish: R24
     M26, Blank Ten-Frames Make copies. (5 per class, optional)     Spanish: R26
     M27–M28, Family Letter Make copies. (1 per student)     Spanish: R27-28
     M15 - M18 Primary Number Cards (1 deck per pair; from Session 2.6)  Spanish:  R15-R18

Day 2:

​Number Talk:
 Making Tens Strategy (check the Number Talks book link above)
Lesson:  Investigations Session 3.2 - Tens Go Fish

Students learn a new game, "Tens Go Fish."

Math Workshop:
  • Make 10
  • Tens Go Fish
  • Any of the number games from the options at the bottom of this page.

Blackline Masters:
​
​​     M29, Tens Go Fish Make copies. (as needed)     Spanish: R29
     M30, An Individual Number Line Make copies and laminate. (as needed)     Spanish: R30
     M15 - M18 Primary Number Cards (1 deck per pair; from Session 2.6)  Spanish:  R15-R18

Day 3:

​Number Talk:  
Making Tens Strategy (check the Number Talks book link above)
Lesson:  Investigations Session 3.3 - Strategies for Combinations of 10

Students focus on strategic thinking when finding combinations of 10.  They are told that they will be expected to have solid strategies to find the combinations by the end of this unit.  They practice their strategies during Math Workshop where they play Make 10 and Tens Go Fish.

Math Workshop:
  • Make 10
  • Tens Go Fish
  • Any of the number games from the options at the bottom of this page.

Blackline Masters:
     M30, An Individual Number Line (as needed; from Session 3.2)     Spanish:  R30
     M24, Make 10 Make copies. (1 per student)     Spanish:  R24
     M15–M18, Primary Number Cards    Spanish:  R15-R18 If you are not using manufactured decks, make copies. Cut apart cards and remove Wild Cards. (1 deck per pair) (from Session 2.6)
    M25, Quick Images: Ten-Frames      Spanish: R25
Day 4:
Number Talk:  
Making Tens Strategy (check the Number Talks book link above)
​Lesson:  Investigations Session 3.4 - More than Two to Make 10


Math Workshop:
  • Today's Number
  • Tens Go Fish
  • Make 10 or More than Two to Make 10
  • Any of the number games from the options at the bottom of this page.

Blackline Masters:
     M30, An Individual Number Line (as needed; from Session 3.2)     Spanish:  R30
​
     M15–M18, Primary Number Cards    Spanish:  R15-R18
 If you are not using manufactured decks, make copies. Cut apart cards and remove Wild Cards. (1 deck per pair) (from Session 2.6)
    M25, Quick Images: Ten-Frames      Spanish: R25
Day 5:
Number Talk:  
Making Tens Strategy (check the Number Talks book link above)
Lesson:  Investigations Session 3.5 - Addition Combinations
Students are introduced to addition cards and begin the journey of identifying which combinations they know and developing strategies for those that they don't know.  By the end of 2nd grade, each student should know from memory sums within 20 of 2 single-digit numbers.  Research does not support timed tests, therefore, we use a more brain-based strategic and relational thinking approach.  Here are some readings to help you think about this:
  • Jo Boaler on Timed Tests (don't do timed tests:)
  • Van de Walle: Helping Children Master the Basic Facts (Alternatives to timed tests.)
  • Mastery of Basic Number Combinations: Internalization of Relationships or Facts? (Baroody, 1985) 

Blackline Masters:
M31–M33, Addition Cards: Set 1 Make copies and cut apart. (1 set per student)    Spanish:  R31 - R33

Envelopes (2 per class; 2 per student)


Interactive Ten Frames

Picture

Weeks 6 - 7 

Curriculum for Weeks of  September 4- September 15
Investigations, Unit 1, Investigation 4 - Addition and Subtraction Situations
*Math Expressions:  Unit 1, Lessons 10-20 are all focused on addition and subtraction situations.  Any of the practice pages or problems from ME can be used for extra practice.*

Valley's Instructional Approach to Making Sense of and Solving Word Problems:
  1. Read the problem and try to visualize it. (sometimes we remove the numbers from the problem to help students focus on the situation rather than computing immediately.)
  2. Explain the situation to another student and discuss.
  3. Draw a mathematical model of the situation.
  4. Solve the problem.
  5. Does your solution make sense?
Day 1:
Number Talk(check the Number Talks book link above)
Lesson:  Investigations, Session 4.1 - An Addition Story Problem

Materials
  • Connecting cubes (as needed)
  • Pocket 100 Chart
  • Class number line
  • Chart paper
  • Chart paper Title a sheet of chart paper "How Many Children?" Write the first story problem from Student Activity Book page 34 at the top.
  • Clocks
Day 2:
Number Talk (check the Number Talks book link above)
​Lesson:  Investigations Session 4.2 - Today's Number and Pocket Day

Materials
  • Class Pocket Data Chart (from Session 2.5)
  • Pocket Day jar (from Session 2.5)
  • Connecting cubes (100 per class)
  • Tape or rubber band
  • Chart paper Title a sheet of chart paper "Students in Our Class." List the names of all students in your class.
  • Clocks
Day 3:
Number Talk (check the Number Talks book link above)
​Lesson: Investigations, Session 4.3 - A Subtraction Story Problem

Materials:
  • Chart paper
  • Connecting cubes (as needed)
  • Chart paper Title a sheet of chart paper "How Many Cards."
  • Write the first story problem from Student Activity Book page 41 at the top.
  • Clocks
Day 4:
Number Talk(check the Number Talks book link above)
Lesson:  Investigations, Session 4.4 - Solving Story Problems

Materials
  • M34–M35, Challenging Story Problems Make copies. (1 per student; optional)   Spanish:  R34-R35
  • Chart paper
  • Connecting cubes (as needed)
  • Chart paper Title a sheet of chart paper "Story Problem Steps." Write the steps as found in the Teaching Note sidebar on page 156.
Day 5:
​Number Talk(check the Number Talks book link above)
​Lesson:  Investigations, Session 4.5 - Solving Story Problems (continued)

Materials: 
  • M36–M37, More Challenging Story Problems       Spanish: R36-R37  Make copies. (1 per student; optional)
  • Connecting cubes (as needed)
  • Chart paper
  • M25, Quick Images: Ten-Frames      Spanish: R25
Day 6:
Number Talk(check the Number Talks book link above)
Lesson: Investigations, Session 4.6 - Introducing Doubling: The Magic Pot

Materials:
  • Two of Everything: A Chinese Folktale by Lily Toy Hong(optional)
  • 12" × 18" construction paper (1 sheet per student, plus extras)
  • Markers or crayons
  • Connecting cubes (as needed)
  • 12" × 18" construction paper Fold a sheet almost in half, leaving a inch margin on the left. Write a Magic Pot problem on the front and the solution with equation under the flap. See Session 4.6, pages 165–166.
Day 7
Number Talk(check the Number Talks book link above)
Lesson:  Investigations, Session 4.7 - Games about Doubling

Math Workshop:
  • Double It
  • Doubles Arrays
  • Magic Pot Problem
  • Story Problems

Materials​
  • M38, Double It Recording Sheet Make copies  (1 per student)  Spanish:  R38
  • M39, Doubles Arrays Recording Sheet Make copies. (1 per student)    Spanish:  R39
  • M40, Inch Grid Paper Make copies. (as needed)   Spanish:  R40
  • M15 - M18 Primary Number Cards (1 deck per pair; from Session 2.6)  Spanish:  R15-R18
  • Materials for Magic Pot Problems and Story Problems See Session 4.4 and Session 4.6.
Day 8
Number Talk(check the Number Talks book link above)
​Lesson:  Investigations, Session 4.8 - Assessment: How Many Cans?

Math Workshop:
  • Double It
  • Doubles Arrays
  • Magic Pot Problem
  • Story Problems

Materials
  • M41, Assessment: How Many Cans? Make copies.  Spanish:  R41  (1 per student)
  • Connecting cubes (as needed)
  • Materials for Double It and Doubles Arrays See Session 4.7.
  • Materials for Magic Pot Problems See Session 4.6.
  • Materials for Story Problems See Session 4.4 and Session 4.6.
  • M25, Quick Images: Ten-Frames      Spanish: R25
​
Day 9
Number Talk(check the Number Talks book link above)
Lesson: Investigations, Session 4.9 - End of Unit Assessment

Materials
  • M42–M43, End-of-Unit Assessment       Spanish:  R42-R43     Make copies.  (1 of each per student)
  • M44, Assessment Checklist: Addition Combinations: Set 1    Spanish:  R44   Make copies. (4 per class)M31
  • M33, Addition Cards: Set 1 Make copies and cut apart. (1 set per student)    Spanish:  R31 - R33
  • ​ M25, Quick Images: Ten-Frames      Spanish: R25
​

Double It

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Khan Academy

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Games Previews and Downloads

The document on the right  provides a cleaner copy of each set of game directions and game boards than the copies provided below.  However, the copies below include the lessons.
math_solutions_number_games_reproducibles_mathgames.pdf
File Size: 4226 kb
File Type: pdf
Download File

build_ten.pdf
File Size: 811 kb
File Type: pdf
Download File

numeral_cards.pdf
File Size: 255 kb
File Type: pdf
Download File

addition_table_trail_or_multiplication.pdf
File Size: 1741 kb
File Type: pdf
Download File

tens_go_fish.pdf
File Size: 1078 kb
File Type: pdf
Download File

addition_tic_tac_toe.pdf
File Size: 788 kb
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