Fractions and Decimals 16, Place Value 22, Money and Financial Mathematics 11_Overview of Learning Plan (Year 4) ACMNA080, NSW MA2 7NA Money has two decimal places, cents as a fraction of a dollar, other countries’ currencies as decimal. THIS IS A SUMMARY OF THE LEARNING PLAN, DESCRIBING THE SEQUENCE OF LEARNING WHICH WILL OCCUR OVER MULTIPLE LESSONS. COMPLETE LEARNING PLAN STARTS ON THE NEXT PAGE. Cents are a decimal fraction of a dollar and money has a decimal value. Children: Children ask one another questions about the relationship between money and decimal fractions, such as; Explore the relationship between money and decimal fractions, using understanding of multiplicative place value. Identify the decimal value of dollars and cents, particularly that a cent is a decimal fraction of a dollar. Demonstrate their understanding of money as a decimal fraction by placing money values into a decimal hundreds chart. For example, ones $4 tenths hundredths . 2 5 Website: http://www.alearningplace.com.au Email: [email protected] Twitter: @learn4teach ► How would we record 10 cents? ► What fraction of a dollar is 10 cents? ► Is 10 cents, 1 tenth of a dollar? ► Would we record 10 cents as zero point one? ► Is zero point one also 10 hundredths? ► Could we record 10 cents as zero point one zero of a dollar? ► What is the value of the 5 in 4 dollars 25? ► Is the 5, 5 cents? ► Is 5 cents, 5 hundredths of a dollar? ► What is the value of the 2 in 4 dollars 25? ► Is the 2, 20 cents? ► Is 20 cents, 20 hundredths of a dollar? ► Is 20 hundredths, 2 tenths? YouTube: A Learning Place A Teaching Place Facebook: A Learning Place 1 Fractions and Decimals 16, Place Value 22, Money and Financial Mathematics 11_Explicit Learning Plan (Year 4) ACMNA080, NSW MA2 7NA THIS IS THE FULL LEARNING PLAN, WITH DETAILS OF ACTIONS AND QUESTIONS THAT MAY BE USED TO DEVELOP DEEP UNDERSTANDING OVER MULTIPLE LESSONS. Money has two decimal places, cents as a fraction of a dollar, other countries’ currencies as decimal. Resources: Playing cards, pencil, paper EXPLICIT LEARNING Focuses children’s thoughts Children think about, talk and listen to a friend about, then have the opportunity to share what they already know. on the concept, exposing current understanding and any misconceptions. Introduces cents as a decimal Record, for example, $1 = 100 cents fraction of a dollar. Website: http://www.alearningplace.com.au Email: [email protected] Twitter: @learn4teach ► Today brings an investigation about money and decimals. ► What do you know about money and decimals? ► Talk about money and decimals with a friend. ► Is anyone ready to share what they are thinking about money and decimals? ► We’ve also investigated money. ► We found that there are 100 cents in one dollar. ► If there are 100 cents in $1, what fraction of $1 is 1 cent? ► Is 1 cents, 1 hundredth of a dollar? ► We’ve investigated decimals. YouTube: A Learning Place A Teaching Place Facebook: A Learning Place 2 1 ► How do we record 1 hundredth as a decimal? ► Into which column will the 1 go? ► Will the one go in the hundredths column? ► Do we record 1 hundredth as zero point zero 1? ► So 1 cent is 1 hundredth of a dollar, which is zero point zero one of a dollar. ► How would we record 2 cents? ► If 1 cent is 1 hundredth of a dollar, what fraction of a dollar is 2 cents? ► Is 2 cents, 2 hundredths of a dollar? ► How would we record this as a decimal? ► Would we record it as zero point zero 2? ► How would we record 10 cents? Record, for example, 10 cents = 10 dollar ► What fraction of a dollar is 10 cents? Record, for example, 0.1 ► Is 10 cents, 1 tenth of a dollar? Record, for example, 0.1 = 0.10 ► Would we record 10 cents as zero point one? ► Is zero point one also 10 hundredths? ► Could we record 10 cents as zero point one zero of a dollar? Record, for example, 1 cent = 100 dollar Record, for example, 0.01 1 Record, for example, 1 cent = 100 dollar = $0.01 2 Record, for example, 2 cents = 100 dollar 2 Record, for example, 2 cents = 100 dollar = $0.02 1 1 Record, for example, 10 cents = 10 dollar = $0.10 Allow children time now to engage in guided and independent investigation (at the end of this teaching plan) of explaining cents as fraction of a dollar and as a decimal of a dollar. Website: http://www.alearningplace.com.au Email: [email protected] Twitter: @learn4teach YouTube: A Learning Place A Teaching Place Facebook: A Learning Place 3 Introduces dollars and cents as decimal place value. 1 Record, for example, 1 cent = 100 dollar 1 ► We’ve investigated dollars and cents. ► And we found that because there are 100 cents in 1 dollar, 1 cent is 1 hundredth of a dollar. ► We found that we could record 1 cents as a decimal fraction of a dollar as zero point zero one. ► Today we’re going to investigate recording dollars and cents. ► Here we have 4 dollars 25. ► What is the value of the 5 in 4 dollars 25? ► Is the 5, 5 cents? ► Is 5 cents, 5 hundredths of a dollar? ► What is the value of the 2 in 4 dollars 25? ► Is the 2, 20 cents? ► Is 20 cents, 20 hundredths of a dollar? ► Is 20 hundredths, 2 tenths? ► If the value of the 2 is 2 tenths, and the value of the 5 is 5 hundredths, what is the value of the 4? ► Is the 4, 4 ones? ► Is the point between the dollars and the cents, a decimal point? ► Is our money system based on place value? ► Is our money system a decimal system? Record, for example, 1 cent = 100 dollar = $0.01 Record, for example, $4.25 Record, for example, $4 . 2 hundredths 5 tenths hundredths Record, for example, $4 . ones Record, for example, $4 2 5 tenths hundredths . 2 5 Allow children time now to engage in guided and independent investigation (at the end of this teaching plan) of explaining dollars and cents using place value with decimals to hundredths. Website: http://www.alearningplace.com.au Email: [email protected] Twitter: @learn4teach YouTube: A Learning Place A Teaching Place Facebook: A Learning Place 4
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