Understand numbers and relationships of numbers
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Key Skills and Concepts
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Activities and Experiences
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Materials
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Connections to….
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one-to-one correspondence
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rote (memorized) counting
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rational counting
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keeping track
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cardinality
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conservation of number
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-Have students pass out materials (one per…)
-Counting forward/backward, skip counting, starting at numbers other than one
-Touching/Moving Objects
- Counting Orally and Silently
-Asking “How Many?”
-Songs, Rhymes, etc.
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(Red/Black Counters, Tiles, Small Physical Objects)
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D:Unit 1:1 Constructing
Whole Numbers
Lessons 1
Concentration
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-Asking “What do you see?” and “How do you see it?”
-Have students replicate the dot flash card (‘may have to give the card to student and let him/her actually build on the card, then build beside the card, then build with no card at his/her desk).
-Repeat the Process with 5-Frame and 10-frame Flash Cards
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Dot cards, red/black counters, PowerPoint dot arrangements, Dominoes, Small red/black flash cards (for partner work),
Five-frame Flash Cards, Ten-frame Flash Cards
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Symbol Recognition
- Play Games
-Sort cards
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Game Boards (Numerical Symbols/Dot Rep’s), Dice,
Multiple Rep’s for Numbers Cards
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Composing/Decomposing numbers
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-Build 5 with five-frame mats
“How many do you see?”
“How did you see it?”
“How do you know you are
correct?”
-Build 10 using Ten Frame mats
-Build 5 and 10 with frames, but flip some of the disks (2 colors), and say/write the number sentence created
-Given 5 or 10 objects, put them into two different shape “pens” and say/write the number sentence created
-Play “Frogs in the Pond”
-Repeat with numbers other than 5 and 10
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Five-frame Flash cards/mats, Ten-frame Flash cards/mats
Counters, 2-color Disks, base-ten blocks, bean sticks, craft sticks, small ten-frames, base-ten cards, Part-part-whole Mats/cards, Cloth tents, Small bowls or Cups
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D:Unit 1:1 Constructing
Whole Numbers
Lessons 2-3
Start With Five
Fill the Ten Frame
How Many?
Ten Frame Quick Facts
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Relative position and relationships of numbers
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- Play Race to 10
-Play Primary Catch Me if You Can
-Hundreds Chart Activities
(missing parts, or cut out
puzzle)
-Number line activities
-Before/After
-More/Less
-Ask about 1 more/less, 2 more/less
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Race to 10 Game Board, Number lines, Catch Me if You Can Boards, Clotheslines, flip-ups, word strips, hundreds charts (complete, missing numbers, and highlighted clues)
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D:Unit 1:2 Numbers on a Line
Lessons 1 – 5
Steve’s New Bike
One Hundred Houses
Number Line Race to 100
Plus-Minus Race to 100
D:Unit 1:3 Whole Number
Relationships
Lesson 2-4
Feed the Animals
Party
Hungry Alligators
D:Unit 4:1 Subtracting
Quantities
Lesson 1
Mystery Number
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-Ask students to physically build numbers using more than one model
-Ask students to go back-and-forth between multiple representation of numbers (base 10 blocks/cards, ten frames, words, symbols, etc.)
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Spinners, ten frames and ten frame cards, base-ten block/cards, craft sticks, bean sticks, arrow cards
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D:Unit 1:4 Tens and Ones
Lessons 1 – 5
Rosemary in the City
Hotel Room Service
Double-digit Number
Composition
Building and Trading Numbers
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Reinforce Building 5 and 10
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Play Games
-Make 5 Go Fish
-Make 10 Go Fish
-Rummy
-Snappo
- Clear the Deck
- No Mate
- Make Ten Pyramid Solitaire
- Sum of Ten
- Catch Me if You Can!
- Math Basketball
- Math Baseball/Softball
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Number Cards (5 frame and 10 frame), Game Boards, Dice, Spinners
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Understand operations and relationships of operations
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Story Problems in context
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Power Point and Task Cards with Story Problems, Part/part/whole mat, counters, cards
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D:Unit 3:2 Writing Addition
Equations
Lesson 4
Acting Out
D:Unit 4:1 Subtracting
Quantities
Lesson 3
Shopping Trip
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Compute fluently and make reasonable estimates
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Composing and Decomposing Numbers
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combinations for 5
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combinations for 10
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1 more/less
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2 more/less
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0 more/less
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add/subtract 10
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doubles and near doubles
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using 10 as a bridge
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-Continue to reinforce building 5 and 10
-Transition from 1 more/1 less relative position to +1, -1. Repeat with 2. Play Math Basketball or Baseball with cards and spinner
-Look for patterns for +10, -10
-Play Leap Frog on Number Lines
-Use Part-Part-Whole Cards (students build cards with mats and find missing parts, students make up stories for cards, etc.)
-Play Race to 100
-Use Double Ten Frames to add sums 11-20 (Ten As A Bridge)
-Use Sum Above Ten Cards to match problem with first step.
-Play Math Race with Sum Above 10 cards
-Use Open Number lines (“move” to nice numbers, build tens, skip count, etc.)
-Use Ten as a Bridge cards to find missing addends/sums.
-Play Intermediate Catch Me if You Can to practice
-Assess with Tent Problems
-Make other decade numbers
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turn over 2 digit cards to make a number and describe the decades this numbers falls between
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turn over 2 digit cards to make a number, spin the decade spinner and decide what you have to + or – to get to that decade number
- Play Making 100
- Have students build add/subtr problems for 2-digit numbers using more than 1 model.
-Have students solve add/subtr problems for 2-digit numbers using paper/pencil and 2 different strategies
-Other Strategies for addition
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using manipulatives
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add tens, add ones, combine
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start with one number, add tens, add ones to make next decade, add rest
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etc
-Other Strategies for subtraction
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using manipulatives
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start with 1st number, subtract tens, subtract ones
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add up using nice numbers
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subtract tens, subtract ones (may be negative), combine
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etc
- If grade appropriate, move on to operations with integers and play Integer Spin
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5-frame cards, 10-frame cards, ten beads/strings, make 5 & 10 games, number lines, open number lines, clothesline, calculator, hundreds chart, sum of ten and above cards, using ten as a bridge cards, spinners, 5-frame, 10-frame, double ten frames, Race to 100 game board, plain digit cards, cloth napkins (tents), craft sticks, beans, etc.
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D:Unit 1:1 Constructing
Whole Numbers
Lesson 4 - 5
Concentration to 20
D:Unit 3:1 Adding Quantities
Lessons 1-5
Count and Compare
Dragon Quest
Making and Writing Eq’s
Drop and Add
D:Unit 3:2 Writing Addition
Equations
Lessons 1-3
Secret Number Game
Grab and Add
Three-Area Counter Drop
D:Unit 3:3 Adding Successive
Quantities
Lesson 1 – 5
The Fiercest Dragon
Let’s Add Some More
Triple Spin
Thumbs Right, Thumbs
Left
D:Unit 4:1 Subtracting
Quantities
Lesson 2
They’re Gone
D:Unit 4::2 Writing
Subtraction Equations
Lessons 1 – 5
Going Fishing
Subtracting to Zero
Counting Back
How Many Are Left?
D:Unit 4::3 Subtraction Tools
and Strategies
Lessons 1 – 5
Take It Back
Take It Way Back
Missing Number
Missing Middles
D:Unit 4:4 Mastering the
Basic Facts
Lesson 1 – 5
How Many More?
Break It and Connect It
Halves and Near Halves
Differences Around the
Room
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-Sort Part-Part-Whole cards by fact families
-Play partner games with Triangle cards, Turnover cards, Sum/Difference cards, etc.
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Part-Part-Whole Cards, Triangle Cards, Turnover cards, Sum/Difference cards,
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D:Unit 3:4 Mastering the
Basic Facts
Lessons 1 – 5
Using the Addition Table
Even or Odd
One More, One Less
Make It Easier
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Ongoing – Everyday
Are we in the ballpark? Daily Questions and Activities:
-“Do we think the answer would be less than 5? More than 10?”
-“Approximately where would this number be on the number line?”
-Partners compete to determine if sum of two numbers is <10, >10, or =10 (cards, dice, or spinners)
-Etc.
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Number cards, Dice, spinners,
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D:Unit 1:3 Whole Number
Relationships
Lesson 1
Estimation
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Understand Operations and Relationships of Operations (cont’d)
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Multiplication and Division
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Story Problems in Context
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Power Point and Task Cards with Story Problems, Counters (Beans, Tiles, Disks, etc,) Condiment Cups
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Equal Sets
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Repeated Addition
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Array Model
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Area Models
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-Transition from Story Problems (multiple ways to build the problems).
- Use array templates; match array models to problems.
- Use area models to organize and develop visual understanding of multiplication
- Have students sort the Multiplication Representations Cards
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Beans, Tiles, Disks, etc. Condiment Cups Multiplication Representation Cards, Array Templates/Cards, Area Model Cards,
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Compute fluently and make reasonable estimates
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-Multiply by 0 and 1 in context.
-Multiply by 2 (Use a math game and a card – student multiplies the card number by 2)
-Play Double or Nothing
-Play Multiplication Bingo (0,1,2)
-Divide by 0,1, 2
-Multiply//Divide by 10
-Play Target
-Multiply by 5
-Build other Mult Facts with grid paper models
-Look for patterns (9’s, etc.)
-Play Smallest Remainder
-Alternate Strategies for Mult.
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Partial Products
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Lattice Multiplication
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Russian/Pheasant
-Alternate Strategies for Div.
-Use area model cards as practice “flash cards”
-Use Multiplication Turnover Cards to practice fluency
-Play math games with multiplication/division problems
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Math Baseball/Basketball
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Product Capture
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The Product Game
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Mult. Three in a Row
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Five Alive
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Four in a Row
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Seven-Up
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Number Capture
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Multiple Capture
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Seven Down
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Sum and Product Cards
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Multiplication Turnover Cards, Math Games, Area Model Cards, Grid Paper
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Understanding Fractions and Operations with Fractions
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Region/Area
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Linear/Measurement
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Set/Discrete
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-Begin with 1-half
- Find 1-half with different area models and units (‘Half of what?”)
- Find 1-half with different linear models and units (‘Half of what?”), Paper folding
-Given unit, find 1-half. Then given 1-half, find the unit.
-Find 1-half with set models
-Given unit, find 1-half. Then given 1-half, find the unit. (Draw/Build the other half)
-Connect Percentages to Paper Folding. (1-half becomes 50%)
-Find 50% in the 3 different models.
-Connect Decimals to Paper Folding
-Multiple Representation of 1-half (Equivalent Expressions)
-Use Fraction/Dec/% Cards for 1-half practice
-Use Unit/Fraction Cards to practice going back-and-forth
-Repeat process with 1-fourth, etc.
-Brownie Fractions (Equivalent Fractions)
-Brownie Fractions (Adding Fractions with Unlike Denom’s)
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Fraction Circles, 2-color Chips, Paper Strips, Geometric Shapes (cut out from colored paper), Fraction Cards (Mult. Rep’s), Unit/Fraction Cards, Fraction/Dec./% Cards, Fraction Brownie Templates,
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Compute fluently and make reasonable estimates
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Comparing and Estimating Fractions
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-Use benchmarks to compare fractions on number line (“Where would 3-fourths be?”)
-Use physical models to compare fractions
-Use Fraction Cards to Sort
(< 1-half, > 1-half, etc .)
-Use Fraction Cards to Build One
Ongoing – Everyday
Are we in the ballpark?
Daily Questions and Activities:
-“Do we think the answer would be less than 1-half? More than 1?”
-“Approximately what would 1-third of this shape be?”
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Clothesline, Number Lines, Open Number Lines, Geometric Shapes, Paper Strips
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-Emphasize Tenths with Paper Strips and Connect to Ten Frames
-Ten Frame Percents with Powerpoint Problems
-Fr.Dec.% Turnover Cards when ready for fluency
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Powerpoint, Ten frames, Beans (counters), Paper Strips, Yarn/String,
Fr.Dec.% Turnover Cards
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