Topic+One

= Topic One: Place Value = Pacing (Duration of Unit): = = > 1. Make sense of problems and persevere in solving them. > 2. **Reason abstractly quantitatively.** > 3. Construct viable arguments and critique the reasoning of others. > 4. Model with mathematics. > 5. Use appropriate tools strategically. > 6. **Attend to precision**. > 7. **Look for and make use of structure.** > 8. Look for and express regularity in repeated reasoning. || > __**Student I Can Statements:**__
 * Desired Results **
 * > __**Transfer:**__
 * > __**Established Goals:**__
 * 5.NBT.1: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
 * 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.
 * b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
 * I can understand and explain the value of digits.
 * I can read, write, and compare decimals to thousandths.

> __**Prerequisite Standards:**__ || > > __**Vocabulary:**__ = = > **Assessment Evidence** > > [|Fractions-5.NBT.3] || __**Formative Assessment:**__ 1-1: Numbers can be used to tell how many. Our number system is based on groups of ten. Whenever we get ten in one place value, we move to the next greater place value.
 * __**Big Ideas:**__
 * The Base Ten Numeration System: The base ten system numeration system is a scheme for recording numbers using digits, 0-9, groups of ten, and place value.
 * Number Uses, Classification, and Representation: Numbers can be used for different purposes, and numbers can be classified and represented in different ways.
 * Comparisons and Relationships: Numbers, expressions, measures, and objects can be compared and related to other numbers, expressions, measures, and objects in a different way.
 * Practices, Processes, and Proficiencies: Mathematics content and practices can be applied to solve problems. || __**Essential Questions:**__
 * How are whole numbers and decimals written, compared, and ordered? ||
 * > __**Students will know...**__
 * Numbers can be used to tell how many.
 * Our number system is based on groups of ten.
 * Whenever we get ten in one place value, we move to the next greater place value.
 * Place value can be used to compare and order whole numbers and decimals.
 * Some problems can be solved by identifying elements that repeat in a predictable way.
 * digits
 * value
 * standard form
 * expanded form
 * word form
 * equivalent decimals
 * [[file:Grade 5-Topic 1 Vocabulary Cards.pdf]] || __**Students will be skilled at...**__
 * Writing the standard, expanded, and word forms of whole numbers in billions and identify the value of digits in whole numbers.
 * Representing decimals (tenths and hundredths) as fractions. Students also represent fractions with denominators of 10 and 100 as decimals.
 * Representing decimals (thousandths) as fractions and fractions with denominators of 1,000 as decimals.
 * Writing decimals in standard form, word form, and expanded form through thousandths.
 * Comparing and ordering decimals through thousandths.
 * Looking for patterns with decimal-pattern sets in order to solve problems. ||
 * > __**Performance Assessment Task:**__
 * [[file:Formative Assessment-5.NBT.1.docx]]
 * [[file:Formative Assessment-5.NBT.3.docx]] ||
 * ~ ** Learning Plan ** ||||~  ||
 * __**Learning Activities:**__

1-2: Our number system is based on groups of ten. Whenever we get ten in one place value, we move to the next greater place value.

1-3: Our number system is based on groups of ten. Whenever we get ten in one place value, we move to the next greater place value.

1-4: Numbers can be used to tell how many. Our number system is based on groups of ten. Whenever we get ten in one place value, we move to the next greater place value.

1-5: Place value can be used to compare and order whole numbers and decimals.

1-6: Some problems can be solved by identifying elements that repeat in a predictable way. ||
 * __**Resources:**__

__Home-School Connection__

__Centers__ __[|5.NBT.1-Comparing Digits]__ __[|5.NBT.3-Representing Decimals with Base Ten Blocks]__ __[|5.NBT.3-Hunt for Decimals]__ __[|5.NBT.3-Decimal Place Value Chart]__

__Math Focus Wall:__ ____ ||