4g End-Of-Year Goals - Equivalent Fractions - Mesa Public Schools (Page 2 of 2) in pdf

4g End-Of-Year Goals - Equivalent Fractions - Mesa Public Schools Page 2

Number l ine m odel

Students m ight a lso u se a n umber l ine t o m odel e quivalent f ractions. T he n umber l ine i s s imilar t o a n i nch r uler.

The n umber l ine b elow i s l abeled w ith h alves, f ourths, a nd e ighths.

Using t his m odel i s o ne w ay t o s ee t hat t he l ine c an b e d ivided t o s how ( 1 o f 2 e qual p arts) o r ( 2 o f 4

equal p arts) o r ( 4 o f 8 e qual p arts).

a nd a re e quivalent b ecause t hey a ll n ame t he s ame a mount

of t he l ine.

Multiplication c hart

Another w ay t o “ see” e quivalent f ractions i s b y u sing a m ultiplication c hart. S tudents c an u se i t t o g enerate

equivalent f ractions.

Multiplication C hart

100

Think of the “blue row” (top shaded) as numerators and the “red row” (bottom shaded) a s d enominators. I f w e

think o f t hese a s f ractions, y ou w ill n otice t hat t hese f ractions a re e quivalent.

i s e quivalent t o

and

. C an y our c hild a dd f ive m ore e quivalent f ractions t o t his s et?

The r eason t hat this happens is that BOTH the “numerator” and “denominator” are multiplied by t he s ame

number ( the n umber o n f irst c olumn). A s a r esult, e quivalent f ractions a re generated.

How t o h elp a t h ome

•

Play t his E quivalent Fraction G ame f rom t he N ational C ouncil o f T eachers o f Mathematics s ite.

•

Practice l earning t he m ultiplication f acts. K nowing t hese f acts m akes i t e asier t o f ind e quivalent f ractions.

•

Remember, m aking m istakes i s a p art o f l earning.

Mesa P ublic S chools/Grade 4 /Equivalent F ractions/2013

Authorization t o r eprint o r d isseminate m ust b e g ranted b y M esa P ublic S chools ( February-‐2014).

4g End-Of-Year Goals - Equivalent Fractions - Mesa Public Schools Page 2