NBT-Understand+the+Place+Value+System

5.NBT.1. Recognize 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. 5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. 5.NBT.3.Read, write, and compare decimals to thousandths. a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 5.NBT.4. Use place value understanding to round decimals to any place. || ===‍‍‍‍‍‍**Anchor Standard**===
 * ===**Common Core Standards**===

**Mathematical Practice(s)**
4. Model with mathematics. 6. Attend to precision. 7. Look for and make use of structure. 6. Attend to precision. 8. Look for and express regularity in repeated reasoning. 4. Model with mathematics. 6. Attend to precision. 8. Look for and express regularity in repeated reasoning. 6. Attend to precision. 8. Look for and express regularity in repeated reasoning. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. || 5.TT.1 Use technology tools and skills to reinforce and extend classroom concepts and activities. || ===‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking**===
 * 5.NBT.1**
 * 5.NBT.2**
 * 5.NBT.3a **
 * 5.NBT.3b**
 * 5.NBT.4**
 * ===‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**===
 * 5.NBT.1 Evaluate**
 * 5.NBT.2 Analyze**
 * 5.NBT.3a Understand**
 * 5.NBT.3b Evaluate**
 * 5.NBT.4 Evaluate** ||

5.NBT.1 I can reason mathematically (explain) that place value is based on multiples of ten.

 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Explain that the value of a digit is determined by where in the number the digit occurs.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Model tenths, hundredths, and thousandths.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Explain that the value of a digit decreases by a multiple of 10 as it moves to the right and increases by a multiple of 10 as it moves to the left in a number.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Look for patterns in what occurs when multiplying or dividing whole numbers by 10.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;"><span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Generate a model that represents a multi-digit number to manipulate and investigate the place value relationships.
 * <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 13px;">Recognize 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.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16px;">5.NBT.2 I can explain that when we multiply or divide by powers of ten the exponent indicates how many places the decimal point is moving. **
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Recognize 10, 100, 1000, etc as powers of ten
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Identify the pattern and determine a rule when numbers are multiplied by 10, 100, 1000, etc.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Identify the pattern and determine a rule when numbers are divided by 10, 100, 1000, etc.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Use whole number exponents to denote powers of 10. (eg. 1000= 10 x 10 x 10 = 103)
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Use tools such as tables to record results when multiplying or dividing with powers of 10.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Identify and analyze patterns within tables when multiplying or dividing with powers of 10.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Generalize a rule for multiplying or dividing by powers of 10 with whole number exponents.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Explain the pattern in the number of zeroes in placement of the decimal when numbers are multiplied or divided by powers of ten.


 * <span style="font-family: 'Times New Roman','serif'; font-size: 16px;">5.NBT.3a I can read and write decimals to thousandths. **
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Model decimals using concepts of base ten.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Read and write decimals.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Read and write decimals using fractions. (eg. .35 = 35/100 and thirty-five hundredths)
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Explain decimals in standard form, word form and expanded form.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16px;">5.NBT.3b I can compare decimals using appropriate symbols. **
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Compare decimals using models, pictures and numbers.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Use appropriate symbol to compare decimals.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Compare decimals to common benchmarks (eg. 0, .5, .50, .500 and 1).
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Compare decimals using equivalent fractional form.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Justify decimal comparisons using standard form, word form and expanded form.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16px;">5.NBT.4 I can round decimals to any place value. **
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Create a visual representation of the decimal. (eg. Number lines, grids, and benchmark numbers)
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Explain that when you round a number, you have a choice between two options- a higher number or a lower number.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Apply strategies to determine which of the two rounding options is closer to the actual number.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Use place value understanding to round decimals to any place.

‍‍‍‍‍‍‍‍‍‍**Essential Vocabulary**
<span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Place value <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Decimal <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Decimal point <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Multiple <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Base ten <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Divide <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Millions <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Thousands <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Hundreds <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Tens <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Ones <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Tenths <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Hundredths <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Thousandths || <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">5.NBT.2 <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Powers of ten <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Exponent <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Decimal point <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Decimal <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Pattern <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Table <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Multiply <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Divide <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Millions <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Thousands <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Hundreds <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Tens <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Ones <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Tenths <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Hundredths <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Thousandths || **5.NBT.3a** <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Decimal <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Expanded form <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Standard form <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Word form <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Fractional form <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Tenths <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Hundredths <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Thousandths <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Numerator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Denominator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Compare <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">< <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">> <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">= <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Benchmark <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Decimal <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Standard form <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Word form <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Expanded form <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Fractional form <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Equivalent || 5.NBT.4 <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Place value <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Round <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Benchmark <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Number line <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Whole number <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Decimal <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Tenths <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Hundredths <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Thousandths ||
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">5.NBT.1
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">5.NBT.3b **

‍‍‍‍‍‍‍‍‍‍**Instructional Resources**
www.prometheanplanet.com/en/Resources/Item/81920/practicing-place-value-5th-grade-investigations www.ixl.com www.math-play.com/place-value-games.html

[|Unit 3]
===‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===