Sample Power of 10 Connections to Number Worlds A and B
Understand numbers and relationships of numbersKey Skills and Concepts / Activities and Experiences / Materials / Connections to Number Worlds
· Counting
one-to-one correspondence
rote (memorized) counting
rational counting
keeping track
cardinality
conservation of number
o / -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. / (Red/Black Counters, Tiles, Small Physical Objects) / A:1 Counting Objects
(Visual, kinesthetic,
auditory)
Count Up
Watch, Listen, and Count
A:2 Counting and Sorting
(Adds connection
to color)
Count Up
Count and Clap
Identifying Colors
A:4 Sequencing Sets
Dot-set Cards
A:7 Learning About Set
Size
Tapping and Clapping
Building Blocks CD
“Number Snapshots
A:9 Number Sequence
Name that Numeral
A:23 Depicting Numbers
(review)
Go Fish
B:1 Counting Basics
Counting Fun
Count and Clap
B:9 Matching Sets
Dog and Bone
Concentration
B:10 Matching Quantities and
Numbers
Dog and Bone
Concentration
Go Fish
B:20 Comparing
Representations
How Many Marks?
B:23 Understanding Numerals
Connecting the Dots
Looking for Space Travelers
B:30 Creating Sets
Book Making
· Subitizing / -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 / 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
· Representing numbers / Symbol Recognition
- Play Games
-Sort cards / Game Boards (Numerical Symbols/Dot Rep’s), Dice,
Multiple Rep’s for Numbers Cards
· Composing/Decomposing numbers / -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 / Five-frame Flash cards/mats, Ten-frame Flash cards/mats
Counters, base-ten blocks, bean sticks, craft sticks, small ten-frames, base-ten cards, Part-part-whole Mats/cards, Cloth tents, Small bowls or Cups / A:10 – 11 Quantities
Dog and Bone
Blastoff!
Concentration (review)
· Relative position and relationships of numbers / - 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 / 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) / A:3 More Sorting and
Counting Objects
Sorting Mats (more, less,
same)
A:9 Number Sequence
Catch the Teacher – More practice in counting sequence with omitted numbers
A:12 Introduction to the
Number Line
Teddy Bear Path
A:13 Position on the
Number Line
A:14 Sequences on the
Number Line
A:24 Comparing
Quantities
Bravo!
Number Bravo!
Dot Cube Bravo!
A:25 Making Comparisons
Count and Compare
Pet Store
A:30 Sequencing Numbers
B:12 Numbers on a Vertical
Scale
Bravo!
B:13 Numbers on a Line
Number Line Game
We Like it Hot!
We Like it Cool!
B:23 Understanding Numerals
How Many Marks?
B:24 Adding and Subtracting
Numbers on a Vertical
Scale
Sun and Wind
We Like It Hot
Hurry Up Passengers
· Place Value / -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.) / Spinners, ten frames and ten frame cards, base-ten block/cards, craft sticks, bean sticks, arrow cards
· Reinforce Building 5 and 10 / 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 / Number Cards (5 frame and 10 frame), Game Boards, Dice, Spinners / Additional Review Practice with Prior Lessons as needed
Understand operations and relationships of operations
· Addition and Subtraction / Story Problems in context / Power Point and Task Cards with Story Problems, Part/part/whole mat, counters, cards / B:5 Counting and Comparing
Bank
B:28 Problem Solving (as
appropriate)
Hidden Underwater Creatures
Working Ants
B:30
Compute fluently and make reasonable estimates
· Composing and Decomposing Numbers
combinations for 5
combinations for 10
1 more/less
2 more/less
0 more/less
add/subtract 10
doubles and near doubles
using 10 as a bridge / -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
turn over 2 digit cards to make a number and describe the decades this numbers falls between
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
using manipulatives
add tens, add ones, combine
start with one number, add tens, add ones to make next decade, add rest
etc
-Other Strategies for subtraction
using manipulatives
start with 1st number, subtract tens, subtract ones
add up using nice numbers
subtract tens, subtract ones (may be negative), combine
etc
- If grade appropriate, move on to operations with integers and play Integer Spin / 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. / A:8 More Sets
Review Counting Up to 5
and 1 more/less
Picnic Party
Who’s Coming to Our
Picnic?
A:15 Using the Number
Line
Number Line Game
(review)
A:16 Moving Up and Down
Number Line – Vertical
A:18 Adding to a Set
Plus Pup
A:19 Subtracting from a
Set
Minus Mouse
A:20 Comparing Sets
A:22 More Subtraction
Mouse in the Cookie Jar
A:26 Adding and
Subtracting
Plus-Minus Game
B:2 Counting Objects
Picnic Party
Who’s Coming to Our
Picnic?
How Many Missing?
B:3 Adding One
Plus Pup
Plus Pup Predictions
B:4 Subtracting One
Minus Mouse
B:5 Counting and Comparing
Mixed Up Dragon
Plus Pup
B:6 More Counting and Comparing (Review)
Mouse in the Cookie Jar
Who’s Hungry?
Bank
Mixed-Up Dragon
B:7 Comparing Sets (Review)
Let’s Compare
B:8 Making Comparisons (Review)
Count and Compare
B:11 Comparing Quantities
Bravo!
Number Card Bravo!
Dot Card Bravo!
B:13 Numbers on a Line
Number Line Game
B:14 Adding and Subtracting
on a Line
Plus-Minus Game
B:15 Comparing Positions on
a Line
B:16 Moving on a Vertical
Scale
Going Up
Going Down
B:17 Predicting Quantities
Small Snack Game
Show Time
B:18 Numeral Magnitude
Animal Roundup
Sequencing Numbers (review)
B:19 Moving and Comparing
on a Number Line
Super Plus-Minus Game
Going Up
B:20 Comparing
Representations
Animal Roundup
B:24 Adding and Subtracting
Numbers on a Vertical
Scale
Going Up
Sun and Wind
We Like It Hot
Ice, Be Nice at Our Party
Hurry Up Passengers
· Fact families / -Sort Part-Part-Whole cards by fact families
-Play partner games with Triangle cards, Turnover cards, Sum/Difference cards, etc. / Part-Part-Whole Cards, Triangle Cards, Turnover cards, Sum/Difference cards,
· Estimation / 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. / Number cards, Dice, spinners,
Understand Operations and Relationships of Operations (cont’d)
· Multiplication and Division / Story Problems in Context / Power Point and Task Cards with Story Problems, Counters (Beans, Tiles, Disks, etc,) Condiment Cups
· Models for Multiplication
Equal Sets
Repeated Addition
Array Model
Area Models / -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 / Beans, Tiles, Disks, etc. Condiment Cups Multiplication Representation Cards, Array Templates/Cards, Area Model Cards,
Compute fluently and make reasonable estimates
· Building “Facts” / -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.
Partial Products
Lattice Multiplication
Russian/Pheasant
-Alternate Strategies for Div.
Forgiveness Method
-Use area model cards as practice “flash cards”
-Use Multiplication Turnover Cards to practice fluency
-Play math games with multiplication/division problems
Math Baseball/Basketball
Product Capture
The Product Game
Mult. Three in a Row
Five Alive
Four in a Row
Seven-Up
Number Capture
Multiple Capture
Seven Down
Sum and Product Cards / Multiplication Turnover Cards, Math Games, Area Model Cards, Grid Paper
Understanding Fractions and Operations with Fractions
· Fraction Models
Region/Area
Linear/Measurement
Set/Discrete / -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) / 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,
Compute fluently and make reasonable estimates
· Comparing and Estimating Fractions / -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?” / Clothesline, Number Lines, Open Number Lines, Geometric Shapes, Paper Strips
· Finding Percentages / -Emphasize Tenths with Paper Strips and Connect to Ten Frames
-Ten Frame Percents with Powerpoint Problems
-Fr.Dec.% Turnover Cards when ready for fluency / Powerpoint, Ten frames, Beans (counters), Paper Strips, Yarn/String,
Fr.Dec.% Turnover Cards
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