In this unit students develop the understanding that fractions, decimals and percents are three ways to represent the same quantity. They extend their knowledge of computation with whole numbers to computation with fractions, decimals, and percents. Students use estimation and modeling to solve problems. Metric and customary measurement and time are explored throughout the unit to reinforce and give meaning to fraction, decimal, and percent concepts.
Decimals represent fractional quantities using the base-ten number system. In earlier years, students have worked with modeling, comparing, ordering, adding and subtracting decimals. Students have multiplied and divided decimals by whole numbers. In this unit, students extend their work with decimals to the operations of multiplication and division. Estimation plays a significant role in developing algorithms for multiplication and division of decimals. Decimal notation and applications are used in the context of metric measurement.
Fractions and decimals represent the same quantities. Fractions and decimals can be used both to measure units and to describe part-whole relationships. Students have modeled, compared, and ordered decimals and fractions. In this unit, students develop an understanding that decimals and fractions can represent the same quantity. They use benchmark fractions to estimate sums and differences of fractions. Students also explore measurements of time to reinforce fraction concepts learned in previous years.
In previous grades, students have worked with adding and subtracting fractions. In this unit, students use what they learned about multiplying and dividing decimals and extend it to fractions. Estimating and modeling plays a significant role in developing students’ understanding of algorithms for multiplication and division of fractions. Students apply their understanding of fractions to solving problems including those involving customary measurement.
Percents are a way of representing fractions and decimals in terms of parts per hundred. A percent can be thought of as a fraction where the denominator is 100. In earlier grades, students have interchangeably represented simple fractions, decimals, and percents. Students have had experiences using simple percentages to find the percent of a number. In this unit, students compare, order, and describe fractions, decimals, and percents in equivalent forms. They also make connections between fractions, decimals, and percents and ratios, rates, and unit rates to solve real-world problems.
Unit 2 is typically a thirteen-week unit taught from October through January.
Unit 2 Standards for Math 6 (Math A)(PDF)
Explanation of what your child should understand by the end of each unit (enduring understandings), how he/she will get to that understanding (essential questions), and how he/she will be evaluated (indicators).
Unit 2 Content map for Math 6 (Math A) (PDF)
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