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MATH MAKES SENSE UNIT 3: DECIMALS VOCABULARY: KEY WORDS ten-thousandths hundred-thousandths millionths Assumed Prior Knowledge: Students can read and interpret decimals to thousandths Students can use estimation strategies to predict sums and differences of decimals Students can multiply and divide whole numbers KEY MATH LEARNINGS: Lesson 1: Numbers to Thousandths and Beyond 1. Patterns in the place-value chart help us to know the position and value of each digit in a decimal number. Lesson 2: Estimating Products and Quotients 1. Strategies such as front-end estimation, decimal benchmarks, and compatible numbers can be used to estimate products and quotients with decimals. Lesson 3: Multiplying Decimals by a Whole Number 1. Multiplying a decimal by a whole number is like multiplying two whole numbers. 2. Estimation can be used to place the decimal point in the product. Lesson 4: Multiplying a Decimal Less than 1 by a Whole Number 1. When you multiply a decimal less than 1 by a whole number, the product is less than the whole number. 2. Place value and estimation can be used to multiply a decimal less than 1 by a whole number. Lesson 5: Dividing Decimals by a Whole Number 1. Dividing a decimal by a whole number involves the same procedure as dividing a whole number by a whole number. 2. Estimation can be used to place the decimal point. Unit 3 Lesson 6: Dividing Decimals 1. To reach a remainder of zero when dividing a decimal by a whole number, it is sometimes necessary to add zeros in the dividend. 2. Sometimes you may never reach a remainder of zero, no matter how many zeros you write in the dividend. Then the quotient is an approximate. Lesson 7: Dividing a Decimal Less than 1 by a Whole Number 1. When you divide a decimal less than 1 by a whole number, the quotient is less than both the dividend and the divisor. Lesson 8: Strategies Toolkit 1. Understanding what a problem is about is an important step toward solving the problem.