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Understand the place value system.
Understand the place value system.
NC.5.NBT.1 Explain the patterns in the place value system from one million to the thousandths place.
NC.5.NBT.1 Explain the patterns in the place value system from one million to the thousandths place.
• Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
• Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
• Explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, and 0.01 and/or divided by 10 and 100.
• Explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, and 0.01 and/or divided by 10 and 100.
NC.5.NBT.3 Read, write, and compare decimals to thousandths.
NC.5.NBT.3 Read, write, and compare decimals to thousandths.
• Write decimals using base-ten numerals, number names, and expanded form.
• Write decimals using base-ten numerals, number names, and expanded form.
• Compare two decimals to thousandths based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons.
• Compare two decimals to thousandths based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Vocab:
Vocab:
Place value: the amount a digit is worth based on position in a number
Decimal: a point that separates whole numbers from fractions
Decimal point: a point that separates whole numbers (on the left) from fractions (on the right)
Patterns: a rule that is followed by numbers
Tenths: 1/10 OR 0.1 ; the position directly to the right of the decimal
Hundredths: 1/100 OR 0.01 ; the position two spots to the right of the decimal
Thousandths: 1/1000 OR 0.001 ; the position three spots to the right of the decimal
Thousands: 1,000 the spot four spaces to the left of the decimal
Greater than: a value that is higher
Less than: a value that is lower
Equivalent/Equal: the exact same value
Compare/comparison: to look at how two numbers are related
Round: to find the closest value
Exponent: a small, high number that means to multiply itself
Powers of ten: 10, 100, 1000, 10000, 100000, 1000000, etc.
Estimate: to find a close value
Helpful Sites:
Helpful Sites:
https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top
http://www.k5learning.com/free-math-worksheets/fifth-grade-5/place-value-rounding
Rounding: https://www.ixl.com/math/grade-5/round-decimals
Multiplying decimals by tens: https://www.ixl.com/math/grade-5/multiply-a-decimal-by-a-power-of-ten
Dividing decimals by tens: https://www.ixl.com/math/grade-5/divide-by-powers-of-ten
Comparing decimals: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-comparing-decimals/v/comparing-decimals-2-example
Rounding Decimals: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-rounding-decimals/v/rounding-decimals
Multiplying and Dividing by 10s: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-mult-div-whole-num-10-100-1000/e/mult-div-whole-numbers-by-10-100-1000
Eureka Vocabulary
Eureka Vocabulary
New or Recently Introduced Terms
Exponent (how many times a number is to be used in a multiplication sentence)
Millimeter (a metric unit of length equal to one-thousandth of a meter)
Thousandths (related to place value)
Familiar Terms and Symbols
>, <, = (greater than, less than, equal to)
Base ten units (place value units)
Bundling, making, renaming, changing, regrouping, trading
Centimeter (cm, a unit of measure equal to onehundredth of a meter)
Digit (any of the numbers 0 to 9; e.g., what is the value of the digit in the tens place?)
Expanded form (e.g., 135 = 1 × 100 + 3 × 10 + 5 ×1)
Hundredths (as related to place value)
Number line (a line marked with numbers at evenly spaced intervals)
Number sentence (e.g., 4 + 3 = 7)
Place value (the numerical value that a digit has by virtue of its position in a number)
Standard form (a number written in the format: 135)
Tenths (as related to place value)
Unbundling, breaking, renaming, changing, regrouping, trading
Unit form (e.g., 3.21 = 3 ones 2 tenths 1 hundredth)
Word form (e.g., one hundred thirty-five)New or Recently Introduced Terms
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