4.1.2 Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand how decimals represent quantities.
Vocabulary
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Standard Benchmarks
Benchmark: 4.1.2.1 Represent Equivalent Fractions
Represent equivalent fractions using fraction models such as parts of a set, fraction circles, fraction strips, number lines and other manipulatives. Use the models to determine equivalent fractions. Benchmark: 4.1.2.2 Fractions & Number Lines Locate fractions on a number line. Use models to order and compare whole numbers and fractions, including mixed numbers and improper fractions. For example: Locate 35 and 143 on a number line and give a comparison statement about these two fractions, such as "35 is less than 143." Benchmark: 4.1.2.3 Add & Subtract Fractions Use fraction models to add and subtract fractions with like denominators in real-world and mathematical situations. Develop a rule for addition and subtraction of fractions with like denominators. Benchmark: 4.1.2.4 Decimal Representation Read and write decimals with words and symbols; use place value to describe decimals in terms of thousands, hundreds, tens, ones, tenths, hundredths and thousandths. For example: Writing 362.45 is a shorter way of writing the sum: 3 hundreds + 6 tens + 2 ones + 4 tenths + 5 hundredths, which can also be written as: three hundred sixty-two and forty-five hundredths. Benchmark: 4.1.2.5 Compare & Order Decimals Compare and order decimals and whole numbers using place value, a number line and models such as grids and base 10 blocks. Benchmark: 4.1.2.6 Decimals & Fractions Read and write tenths and hundredths in decimal and fraction notations using words and symbols; know the fraction and decimal equivalents for halves and fourths. For example: 21=05=050 and 47=143, which can also be written as one and three-fourths or one and seventy-five hundredths. Benchmark: 4.1.2.7 Rounding Decimals Round decimals to the nearest tenth. For example: The number 0.36 rounded to the nearest tenth is 0.4. Big Ideas and Essential Understandings
Fourth graders expand their work with fractions to include representation of equivalent fractions. They use models to compare and order whole numbers and fractions, including improper fractions and mixed numbers. They are able to locate fractions on a number line. Fourth graders add and subtract fractions with like denominators and develop a rule for this action. Fourth graders read, write and represent decimals in terms of thousands, hundreds, tens, ones, tenths, hundredths and thousandths. They use place value understanding, models, and number lines to compare and order decimals. They expand their understanding of rounding to include rounding of decimals to the nearest tenth. Fourth graders use their knowledge of both fractions and decimals to read and write tenths and hundredths using both decimal and fraction notation. They know the decimal and fraction equivalents for halves and fourths. Fractions: What students should know and be able to do [at a mastery level] related to these benchmarks. Students will be able to:
Decimals: What students should know and be able to do [at a mastery level] related to these benchmarks:
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From a small seed a mighty trunk may grow.
-Aeschylus
-Aeschylus