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Rosemary Irons Mathematics Consultant [email protected] WISCONSIN MATHEMATICS COUNCIL CONFERENCE MAY 2017 Measurement and Geometry Concepts Through Mathematical Stories Pre K –1 PROFESSIONAL LEARNING www.origoeducation.com

Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant [email protected] WISCONSIN MATHEMATICS

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Page 1: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

PROFESSIONAL LEARNINGwww.origoeducation.com

Rosemary IronsMathematics Consultant

[email protected]

WISCONSIN MATHEMATICS COUNCIL CONFERENCE MAY 2017

Measurement and Geometry Concepts Through Mathematical Stories

Pre K –1

PROFESSIONAL LEARNINGwww.origoeducation.com

Page 2: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS
Page 3: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 1

Identifying the Attribute

Topic Attributes/Language

Size

Length

Height

Mass

Capacity

Volume

Time

Width

Area

Distance

Speed

Temperature

Page 4: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 2

Buster the Balloon Resource –deflated balloonBlow up the balloon to show the balloon getting bigger.Resource – two of various objects from the post office corner of the classroom- tubes, envelopes and stamps Child selects the bigger, longer or wider object and describes the relationship to a friend using ‘er’ words.

Your idea:

Stan the FirefighterResource – three or more of various clothing objects, toys, boxes or common classroom itemsChild sorts the items and then places the objects in order to find the longest, biggest, widest, thickest object and describes the relationship to a friend using ‘est’ words. Child selects the largest box and places boxes inside other boxes to put the boxes in order.

Your idea:

Measurement

Page 5: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 3

The focus of measurement is to gradually learn to complete a unit count. Early Childhood provides experiences with non-standard units before formal measurement units.

The Best Bug Resource – concrete materials – quantity of the same type of object: popsicle sticks, large paper clips, other available counters Child places end-to-end same objects next to another selected item to count how many same objects match the selected item’s length.Resource – pictorial measuring tapes Use the interests of the children or characters from stories you have read to the children.Child uses pictorial measuring tape to measure objects in the learning environment.

Your idea:

Page 6: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 4

Worm Measuring Tape

Page 7: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 5

Measurement Attribute

Length Capacity/Volume Mass Area

Lang

uage

Sta

ges

Child’s Language

long, shorttall, shortsmall, big, littlewide, narrowskinny, fatthick, thin, deep, shallow, zigzag

Distance – a long way, far, close, near, over there, away

empty, full, not full, fill, level, refill, overflows, holds, as much as, less than, more than, holds most, too much, not enough, spill, drip, sprinkle

heavy, lighttoo much, too little, enough, not enough, the same, different, weight, a lot, big, almost, more, less, feels heavy, feels light, heft

size, big, small, shape, space, large, cover

Material Language

(Emphasis on counting units)

How many? Count to find out.

ribbons – long and short, pegs, shoelaces, body length, arm spans, rulers, stacked blocks, as long as

Distance – paces, foot lengthsPerimeter – boundaries, edges

How many to fill? Count the number.

cupfuls, mugs, spoonfuls, scoopful, bucket, egg-cupful, jugs, containers small and large, sieve, funnel, pour cubes, blocks, sand, water

How many cubes balance the toy on the scales?

balance, scales, heavy, light, level, doesn’t balance, weight, cubes, blocks, fewer, playdough balls, junk objects, pan balance

How many hand prints cover the tabletop?

fits, covers, inside the boundary, outside, more, less, area, squares

Mathematical Language

feet, inchyard, milemetercentimeterdecimetermillimeterkilometersruler

cuppintquartgallonfluid ouncelitermillilitercubic centimeter

pound, ounce,kilogram, gram, balance, mass, weight, half kilogram

surface, sides, circle, square, rectangle, triangle, completely covers, length by width

Symbol Language

ft, in.yd, mim, cmdm, mmkm

ptqtgalLmLcm3

lbozkgg

l × w or l • wm2

km2

cm2

½ (l × w)

Measurement Language for Early Childhood

Page 8: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 6

Measurement Attribute

Time AngleIn Geometry Strand

MoneyIn Number Strand

Lang

uage

Sta

ges

Child’s Language

order of events in personal and school day, how long to …, time, days, weeks, clock, one … twelve o’clock, yesterday, today, tomorrow, long time, short time, morning, afternoon, nighttime, age, before, after, next, old, young, slow, fast, early, late

turn, twist, go around, spin, roll, circle around, twirl, left, right, straight and curved lines, forward, backward, reverse

buy, coins, dollars, sell, pocket money, money, cents, spend, bank, change, use credit card, hundred dollars, shop, fare, rich, poor, save

Material Language

(Emphasis on counting units)

How many hops can you make in one minute? How long does it take to eat an ice cream cone? Count minutes.

types of clocks, egg timers, stop watches, pendulums, hands of the clock, calendar

Count the steps around one-fourth of the cicle.

move the arms apart, turn around, move the geostrips apart, find some angles that match the right angle, amount of turn

Count the money? Match the price (2 dollars) and the money. Add two prices.

coins, dollars, cents, price tag, cost, change, buy, sell, costs less, costs, more, credit card

Mathematical Language

minutes, hours, five to sixty minutes

angle, right angle, less than a right angle, more than a right angle, rotate, revolve, degrees, protractor, compass, square corner

dollars, cents, cost, price tag, money left, change, worth it, value, sell, buy, price, paid, costs, more, same price, cost per ___, cheaper, dearer, expensive, pay, notes, amount, total, charge, credit card, equal amount of money

Symbol Language

a.m./p.m.___:___

____° $¢

Measurement Language for Early Childhood

Page 9: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 7

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Cube A - 1, 2, 3, 4, 5, 6Cube B - inside ( ) or X on three faces, outside (O) or X on three faces

Page 10: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 8

Home Corner

Science

Literature

Block Corner

––––––––––––––

Art

Music

Physical Education

Sand/Water Play

largeand

small

Page 11: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 9

Language for Opposites

scruffy

dirty

bright

closed

thick

happy

full

hot

down

inside

old

tall

under

on

wet

rough

high

wide

hard

fast

in front

heavy

night

dark

exit

living

positive

first

in

long

black

big

near

above

loud

high

straight

front

few

top

Page 12: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 10

I Think I’ll Go FlyingResource – outside at large equipment or obstacle course, camera• Teacher models positional language as children act out the location and direction

movements (next to, under, through, etc.). Teacher takes photographs of children moving or standing to show location or direction positions.

Your idea:

Look and See Resource – Look and See Big Book, counters• Child lays book flat on floor. For each page, child places a counter on matching pictorial

three dimension object on facing page.

Resource – Classroom / Commercial 3D objects, Look and See Big Book• Child selects a 3D object and finds the matching pictorial representation on a page in the

Big Book. Then says the name of the 3D object.

Your idea:

Geometry - Language of position and direction

Geometry - Three-dimensional objects

Page 13: Pre K –1 Measurement and Geometry Concepts Through ... 301.pdf · PROFESSIONAL LEARNING tion.co m Rosemary Irons Mathematics Consultant mathmates@ozemail.com.au WISCONSIN MATHEMATICS

© ORIGO Education 11

Language for Geometry – some key wordsPosition and Location

above below aroundacross along throughbehind front backbeside left rightbottom on inclose near fardown high lowend-to-end first lastforwards backwards sidewayshorizontal vertical mazenext to between upoutside inside in frontover under top position direction locationturn turnaround way inway out walk/move on a path

Three-dimensional objects

cone rectangular prism pyramidcube cylinder sphereface corner edgefilled surface apexside solid hollow solid shape prism vertexspace 3d face linestack roll slidestraight curved flatvertices base

Two-dimensional objects

line shape round shapecentre middle closedopen circle trianglesquare rectangle starhexagon rhombus 2d print from a 3d facesymmetry symmetrical matching halvesangle right angle sideboundary