The Power of 10

Getting Back to Basics...

The Power of 10Today, you will have the opportunity to reflect on your own attitude toward math and how you currently teach math in your own classroom.

The Power of 10We hope to convey the value of creating a strong basic foundation in math. We will do this by defining the basics, naming why each is important, and showing lots of video clips.

SortingWhat is sorting: categorizing objects by attribute

Why practice sorting:to visually create sets,to see parts vs. whole,precursor to subitizing and addition

SortingSorting by 1 specific attribute (e.g. green or “not green”)• hula hoop• color plate

Sorting• Color plate sort

SortingSorting by 1 attribute (e.g. by color)

Sorting• Color sort video

SortingSorting by 2 specific attributes (e.g. round, blue)• use 2 hula hoops

Sorting• Hula hoop sorting

CountingWhat is counting:to name the numbers in order,to determine an amount

Why practice counting:demonstrate verbal sequence,1:1 correspondence,keep track,knowing the last number indicated represents the total amount

Counting: workmats• workmats

Counting: workmats• workmat questioning

Counting: dice race• dice race

Counting: missing number• missing number

Counting: dice game• dice game

Countinggo fish: play “go fish” using a deck of 10-frame cards

Counting: 5-frame flash• 5 frame flash

Counting: roll & find• roll & find

Counting“hiding” dots:1. use 5 dots and a bush cutout2. choose how many will “hide”3. count and compare the dots

hiding dots

Countingnumber studies:students will represent numbers in 5 different ways: dots, 10 frame, digit, tallies, and fingersthese may be part of the students’ math or daily journals, used as references around the room, or part of a class book

Counting• Counting Rhymes

• w/o internet

Counting & SubitizingWhat is subitizing:the ability to quickly connect a number to a set without counting

Why practice subitizing:speeds up process of determining an amount,precursor to operations

Counting & SubitizingPerceptual Subitizing:recognizing a set (1-6) WITHOUT any grouping (e.g. knowing it’s 4 without having to count)

Counting & Subitizing: perceptual subitizing

• perceptual subitizing

Counting & SubitizingConceptual Subitizing:recognizing subsets to subitize the whole set (e.g. knowing it’s 6 because you see 2 sets of 3)

Counting & Subitizing: conceptual subitizing

• conceptual subitizing

Counting & Subitizingbaseball: use a deck of dot cards (1-6) 1. flash a dot card to the 1st hitter2. quick answers = hit (go to 1st base)3. slow/no answer = strike 4. keep flashing cards to advance the

runners

*practice PERCEPTUAL subitizing by using 2 dot cards or trick cards

Counting & Subitizingnumber boss: (divide group into 2 lines)1. flash dot card to the line leaders 2. 1st to subitize becomes “boss” and stays at front of the line, opponent goes to end of the line3. keep flashing dot cards to line leaders (boss & challenger)

*practice PERCEPTUAL subitizing by using 2 dot cards or trick cards

Counting & Subitizing: trick cards

• trick cards

Counting & Subitizing: trick cards

• using 10 frame to practice conceptual subitizing

Counting & ComparingWhat is comparing:determining whether a given number is greater or fewer than another number, as well as its place on the number line

Why practice comparing:to determine the reasonableness of a problem’s solution, precursor to estimation skills

Counting & Comparingblobs & bars:present the SAME graph question each day for a week (e.g. Do you have a dog at home?)

Students will select their response by choosing the corresponding colored cube (e.g. red cubes for “yes,” blue cubes for “no”)

Counting & Comparing: blob Mondays

• blob Mondays

Counting & Comparing:bar Tuesdays

• bar Tuesdays

Counting & Comparing:pie graph Wednesdays

• pie graph Wednesdays

Counting & Comparing:yes/no bag Thursdays

• yes/no bag Thursdays

Counting & Comparing: prediction Fridays

• prediction Fridays

Counting & Comparinggrab bag colors:1. choose 2 crayons2. grab color squares from the bag3. only glue the squares that match the

2 crayons4. Which color had more squares? How many more? Which color had fewer squares?

Counting & Comparingriddles (using 10 frame cards): “My 10 frame has more than 4 counters, but less than 9.”

“My 10 frame has an even number of counters.”

“My 10 frame has 1 more than 5 counters.”

Counting & Comparing10 frame routines:keep several sets of 10 frame cards handygive each student a card, using the cards to:1. line students up in numerical order2. divide students into groups (odd, even,

>5, <5, same numbers together, etc.)3. greatest (or least) number takes first turn,

etc.

Counting & Comparingwar: (divide sets of 10 frame cards between 2 players)1. players place their own cards face down

in a pile2. players both draw their top card, placing

it face up3. player with the greatest number wins

and takes both cards4. winner must state how he won: “8 is

greater than 5”

Counting & Comparing: 1 more, 1 less

• 1 more, 1 less

Counting & Comparing: more or less number line

• more or less number line

Making SetsWhat is a set:a number of objects in a specified group or unit

Why practice making sets:Understanding sets involves making and decomposing a set/subset, a precursor to many number operations

Making Setssets of 5• show a 5 frame filled with 2 different kinds of

counters• describe the whole set by naming the parts• ask questions:• How many counters did it take to fill the entire

frame? How do you know it was filled? • How many red parts? How many yellow parts?

Show me how you know.• If I had ___ cubes and the whole frame was filled,

how many cubes would there be?

Making Setsnumber bracelets• add beads to pipe cleaner bracelets• students manipulate beads to

decompose that number (1 + 4 = 5; 3 + 2 = 5; 2 +2 +1 =5)

Making Setsweighing numbers• decompose a number and compare it to

the whole• place the whole set (5 purple cubes) on

one side of the balance• place the decomposed sets (2 red

cubes and 3 blue cubes) on the other side of the balance

• compare each set

Making Setsmaking dot cards• provide students with 21 “garage

sale dot” stickers and 6 blank index cards

• students will create their own dot cards 1-6 to use for games and counting/subitizing practice

Adding & SubtractingWhat is adding and subtracting:manipulating and set by increasing or decreasing its amount

Why practice adding and subtracting:understand how number/amount can be changed in predictable ways

Adding & Subtracting5 frame adding & subtracting

• 5 frame adding & subtracting

Adding & Subtracting: building towers

• building towers

Adding & Subtracting:10 frame race

• 10 frame race

Adding & Subtracting:play 10 fish

• play 10 fish

Adding & Subtracting:race to 12

• race to 12