Mathematics Unit 9: Fractions, Decimals, and Percents
April 24–May 14, 2014
Inquiry Question:
- What is a decimal fraction?
- Can we solve problems using equivalent decimals instead of fractions? Why?
Essential Learning Goals:
Explain why fraction a/b is equivalent to fraction (n x a)/(n x b) using visual fraction models. Decompose fractions into sums of fractions with the same denominators in more than one way, recording each decomposition by an equation. Express fractions with denominator 10 as equivalent fractions with denominator 100. Use decimal notation for fractions with denominators 10 or 100. (ELG.MA.4.NN4)
Concepts:
Patterning, place value, equivalent forms, comparison of fractions and decimals, rounding
Academic Vocabulary: Right-click on vocabulary to look it up in the dictionary.
Convert, representations
Technical Vocabulary: Right-click on vocabulary to look it up in the dictionary.
Place value, hundredths, tenths, decimal, decimal fraction, ten times, digit
Technology:
- Percentages: http://nlvm.usu.edu/en/nav/frames_asid_160_g_2_t_1.html?open=activities&from=category_g_2_t_1.html (discover relationships between fractions, percents, and decimals)
Common Misconception:
- Students often treat decimals as whole numbers when comparing two decimals. They think the longer the number, the greater the value. For example, students think 0.03 is greater than 0.3.