# Understand numbers and relationships of numbers

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```					                           Sample Power of 10 Connections to Number Worlds A and B
Understand numbers and relationships of numbers
Key Skills and Concepts         Activities and Experiences                 Materials               Connections to Number
Worlds
   Counting                      -Have students pass out materials     (Red/Black Counters, Tiles,   A:1 Counting Objects
 one-to-one correspondence   (one per…)                            Small Physical Objects)           (Visual, kinesthetic,
 rote (memorized) counting   -Counting forward/backward, skip                                            auditory)
 rational counting           counting, starting at numbers other                                 Count Up
 keeping track               than one                                                            Watch, Listen, and Count
 cardinality                 -Touching/Moving Objects
 conservation of number      - Counting Orally and Silently                                      A:2 Counting and Sorting
-Songs, Rhymes, etc.                                                      to color)
   Subitizing                    -Asking “What do you see?” and        Dot cards, red/black          Count Up
“How do you see it?”                  counters, PowerPoint dot      Count and Clap
-Have students replicate the dot      arrangements, Dominoes,       Identifying Colors
flash card (‘may have to give the     Small red/black flash cards
card to student and let him/her       (for partner work),           A:4 Sequencing Sets
actually build on the card, then      Five-frame Flash Cards,       Dot-set Cards
build beside the card, then build     Ten-frame Flash Cards
with no card at his/her desk).                                      A:7 Learning About Set
-Repeat the Process with 5-Frame                                         Size
and 10-frame Flash Cards                                            Tapping and Clapping

Building Blocks CD
“Number Snapshots

   Representing numbers          Symbol Recognition                    Game Boards (Numerical        A:9 Number Sequence
- Play Games                          Symbols/Dot Rep’s), Dice,     Name that Numeral
-Sort cards                          Multiple Rep’s for Numbers
Cards                         A:23 Depicting Numbers
(review)
1
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
   Composing/Decomposing numbers   -Build 5 with five-frame mats        Five-frame Flash
“How many do you see?”              cards/mats, Ten-frame
“How did you see it?”               Flash cards/mats
“How do you know you are            Counters, base-ten blocks,
correct?”                        bean sticks, craft sticks,
-Build 10 using Ten Frame mats       small ten-frames, base-ten
-Build 5 and 10 with frames, but     cards, Part-part-whole
flip some of the disks (2 colors),   Mats/cards, Cloth tents,     A:10 – 11 Quantities
2
and say/write the number sentence     Small bowls or Cups            Dog and Bone
created                                                              Blastoff!
-Given 5 or 10 objects, put them                                     Concentration (review)
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
   Relative position and      - Play Race to 10                     Race to 10 Game Board,         A:3 More Sorting and
relationships of numbers   -Play Primary Catch Me if You Can     Number lines, Catch Me if          Counting Objects
-Hundreds Chart Activities            You Can Boards,                Sorting Mats (more, less,
(missing parts, or cut out         Clotheslines, flip-ups, word       same)
puzzle)                          strips, hundreds charts
-Number line activities               (complete, missing numbers,    A:9 Number Sequence
-Before/After                         and highlighted clues)         Catch the Teacher – More
-More/Less                                                           practice in counting sequence
more/less
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!
3
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?

Numbers on a Vertical
Scale
Sun and Wind
We Like It Hot
Hurry Up Passengers
   Place Value   -Ask students to physically build    Spinners, ten frames and
numbers using more than one model    ten frame cards, base-ten
-Ask students to go back-and-        block/cards, craft sticks,
forth between multiple               bean sticks, arrow cards
representation of numbers (base 10
blocks/cards, ten frames, words,
4
symbols, etc.)
 Reinforce Building 5 and 10        Play Games                           Number Cards (5 frame and       Additional Review Practice
-Make 5 Go Fish                      10 frame), Game Boards,         with Prior Lessons as needed
-Make 10 Go Fish                     Dice, Spinners
-Rummy
-Snappo
- Clear the Deck
- No Mate
- Make Ten Pyramid Solitaire
- Sum of Ten
- Catch Me if You Can!
- Math Baseball/Softball
Understand operations and relationships of operations
 Addition and Subtraction                Story Problems in context       Power Point and Task Cards      B:5 Counting and Comparing
with Story Problems,            Bank
Part/part/whole mat,
counters, cards                 B:28 Problem Solving (as
appropriate)
Hidden Underwater Creatures
Working Ants

B:30
Compute fluently and make reasonable estimates
 Composing and Decomposing         -Continue to reinforce building 5     5-frame cards, 10-frame          A:8 More Sets
Numbers                          and 10                                cards, ten beads/strings,        Review Counting Up to 5
 combinations for 5             -Transition from 1 more/1 less        make 5 & 10 games, number          and 1 more/less
 combinations for 10            relative position to +1, -1. Repeat   lines, open number lines,        Picnic Party
 1 more/less                    with 2. Play Math Basketball or       clothesline, calculator,         Who’s Coming to Our
 2 more/less                    Baseball with cards and spinner       hundreds chart, sum of ten          Picnic?
 0 more/less                    -Look for patterns for +10, -10       and above cards, using ten as
 add/subtract 10                -Play Leap Frog on Number Lines       a bridge cards, spinners, 5-    A:15 Using the Number
 doubles and near doubles       -Use Part-Part-Whole Cards            frame, 10-frame, double ten           Line
5
   using 10 as a bridge   (students build cards with mats       frames, Race to 100 game          Number Line Game
and find missing parts, students      board, plain digit cards, cloth       (review)
make up stories for cards, etc.)      napkins (tents), craft sticks,
-Play Race to 100                     beans, etc.                       A:16 Moving Up and Down
-Use Double Ten Frames to add                                           Number Line – Vertical
sums 11-20 (Ten As A Bridge)
-Use Sum Above Ten Cards to                                             A:18 Adding to a Set
match problem with first step.                                          Plus Pup
-Play Math Race with Sum Above 10
cards
-Use Open Number lines (“move” to
nice numbers, build tens, skip                                         A:19 Subtracting from a
count, etc.)                                                                Set
-Use Ten as a Bridge cards to find                                     Minus Mouse
-Play Intermediate Catch Me if You                                     A:20 Comparing Sets
Can to practice
-Assess with Tent Problems                                             A:22 More Subtraction
 turn over 2 digit cards to
make a number and describe                                      A:26 Adding and
falls between                                                   Plus-Minus Game
 turn over 2 digit cards to
make a number, spin the                                         B:2 Counting Objects
decade spinner and decide                                       Picnic Party
what you have to + or – to                                      Who’s Coming to Our
get to that decade number                                          Picnic?
- Play Making 100                                                       How Many Missing?
problems for 2-digit numbers using                                      B:3 Adding One
more than 1 model.                                                      Plus Pup
-Have students solve add/subtr                                          Plus Pup Predictions
6
problems for 2-digit numbers using
paper/pencil and 2 different          B:4 Subtracting One
strategies                            Minus Mouse
 using manipulatives             B:5 Counting and Comparing
tens, add ones to make next
 etc                             Comparing (Review)
-Other Strategies for subtraction     Mouse in the Cookie Jar
 using manipulatives             Who’s Hungry?
subtract tens, subtract ones   Mixed-Up Dragon
 add up using nice numbers
 subtract tens, subtract ones    B:7 Comparing Sets (Review)
(may be negative), combine     Let’s Compare
 etc
- If grade appropriate, move on to    B:8 Making Comparisons
operations with integers and play     (Review)
Integer Spin                          Count and Compare

B:11 Comparing Quantities
Bravo!
Number Card Bravo!
Dot Card Bravo!

B:13 Numbers on a Line
Number Line Game

on a Line
Plus-Minus Game
7
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

Numbers on a Vertical
Scale
Going Up
Sun and Wind
We Like It Hot
8
Ice, Be Nice at Our Party
Hurry Up Passengers
   Fact families                    -Sort Part-Part-Whole cards by       Part-Part-Whole Cards,
fact families                        Triangle Cards, Turnover
-Play partner games with Triangle    cards, Sum/Difference
cards, Turnover cards,               cards,
Sum/Difference cards, etc.

   Estimation                       Ongoing – Everyday                   Number cards, Dice,
Are we in the ballpark? Daily        spinners,
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.

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       -Transition from Story Problems       Beans, Tiles, Disks, etc.
 Equal Sets                 (multiple ways to build the           Condiment Cups
 Repeated Addition          problems).                            Multiplication Representation
 Array Model                - Use array templates; match array    Cards, Array
 Area Models                models to problems.                   Templates/Cards, Area
- Use area models to organize and     Model Cards,
develop visual understanding of
9
multiplication
- Have students sort the
Multiplication Representations
Cards
Compute fluently and make reasonable estimates
 Building “Facts”                 -Multiply by 0 and 1 in context.     Multiplication Turnover Cards,
-Multiply by 2 (Use a math game and Math Games, Area Model
a card – student multiplies the card Cards, Grid Paper
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
 Product Capture
10
 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
Understanding Fractions and Operations with Fractions
 Fraction Models                   -Begin with 1-half                     Fraction Circles, 2-color
 Region/Area                 - Find 1-half with different area      Chips, Paper Strips,
 Linear/Measurement          models and units (‘Half of what?”)     Geometric Shapes (cut out
 Set/Discrete                - Find 1-half with different linear    from colored paper), Fraction
models and units (‘Half of what?”),    Cards (Mult. Rep’s),
Paper folding                          Unit/Fraction Cards,
-Given unit, find 1-half. Then given   Fraction/Dec./% Cards,
1-half, find the unit.                 Fraction Brownie Templates,
-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
11
-Repeat process with 1-fourth, etc.
-Brownie Fractions (Equivalent
Fractions)
Fractions with Unlike Denom’s)

Compute fluently and make reasonable estimates
 Comparing and Estimating          -Use benchmarks to compare            Clothesline, Number Lines,
Fractions                        fractions on number line (“Where      Open Number Lines,
would 3-fourths be?”)                 Geometric Shapes, Paper
-Use physical models to compare       Strips
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?”

   Finding Percentages             -Emphasize Tenths with Paper          Powerpoint, Ten frames,
Strips and Connect to Ten Frames      Beans (counters), Paper
-Ten Frame Percents with              Strips, Yarn/String,
Powerpoint Problems                   Fr.Dec.% Turnover Cards
-Fr.Dec.% Turnover Cards when

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 views: 18 posted: 4/24/2012 language: English pages: 12