Unit 1 Place Value, Addition, and Subtraction

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1	Unit Name: Place Value, Addition, and Subtraction							Unit pacing: 4 weeks * Unit Start: August 4
2	Unit Overview and Enduring Understandings	Students will manipulate numbers in this unit based on understanding their place value. Students can multiply and divide whole numbers, write whole numbers in expanded, standard, and word forms, and compare whole numbers. Additionally, students will be able to round and fluently add/subtract whole numbers up to 1,000,000. Enduring Understandings: What will students understand (about what big ideas) as a result of the unit? "Students will understand that..." 1. The value of each digit in a multi-digit whole number depends on its position. 2. Each place to the left is ten times greater than the plae to its right. 3. Place Value is the foundation of our number system and is essential for understanding and performing arithmetic operations.
3	Essential Questions	These questions aim to deepen students' understanding of place value and its applications in various mathematical contexts. 1. How does the value of a digit change as you move from one place to the next in a number? 2. How does place value help us perform operations like addition, subtraction, multiplicatoin and division? 3. How can recognizing patterns in place value make calculatoins easier? 4. How does place value help us in understanding large numbers? 5. How does understanding the value of each digit help in comparing numbers? 6. How do we use place value in real-life situations?
4	Content Domain	Essential Standards	Supporting Standards	Concepts	Skills	Strategies/Models	Vocabulary	Evidence of Mastery	Assessments	District Aligned Resources
5	Conceptual Understanding	4.NBT.A.1- Apply concepts of place value, multiplication, and division to understand that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.	4.NBT.A.2- Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 4.NBT.B.6- Demonstrate understanding of division by finding whole-number quotients and remainders with up to four-digit dividends and one-digit divisors.	Key Concpets for NBT.A.1 -The value of a digit depends on its position in a number -In a multi-digit number, a digit in one place is 10 times the value of the same digit in the place to its right -Multiplication to explain how digits shift in value (×10) as you move left. -Division (÷10) to explain shifts to the right. -Represent and compare digit values using place value charts or base-ten visuals. -Use mathematical terms (e.g., “The 6 in 60 is ten times the 6 in 6”).	Targeted Skills for 4.NBT.A.1 Understand Place Value Relationships -Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. -Identify and explain the value of digits based on their position in numbers up to one million. Compare the Value of Digits -Compare digits within a number to describe how their values relate (e.g., in 5,230, the 5 is ten times the value of the 5 in 523). -Use of Base-Ten System Language -Use vocabulary such as place, value, ten times, ones, tens, hundreds, etc., to describe relationships between digits. Reasoning with Multiplication and Division -Apply multiplication and division reasoning to explain how the value of digits changes by a factor of 10 between adjacent places (e.g., 40 is ten times 4, and 4,000 is ten times 400). -Modeling and Visual Representation -Use models like base-ten blocks, place value charts, and number lines to show understanding of the value relationship between digits. Verbal and Written Explanations -Explain place value relationships both verbally and in writing using correct mathematical language.		place value whole number digit place round estimate assess reasonableness base-ten numerals place value names (i.e. ones, tens, etc.) expanded form comparisons	Students will answer questions on Galileo. Mastery: 80- 100% Approaching Mastery: 60-79% Developing Mastery: 40-59% Emerging Mastery: 0-39%	Students will take a Galileo CFA quiz to assess their current understanding of reading and writing place-value numbers and basic comparisons at the half way point (middle of week 2) of the unit. Students will then take a summative Galileo CFA end of unit test that will encompass all standards and skills that were learned.	Into Math Module 1 Module 2
6	Application	4.NBT.B.5- Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.		Key Concpets for 4.NBT.B.5 -Place value, understanding how digits represent different values and using that to break apart numbers. -Properties of operations, using distributive, associative, and commutative properties to simplify multiplication. -Representation, showing multiplication with equations, area models, and arrays to connect visual and numerical strategies. -Decomposition, breaking numbers into parts to make multiplication easier and more understandable.	Targeted Skills for 4.NBT.B.5 Multiplying multi-digit numbers -Multiply up to four-digit numbers by a one-digit number. -Multiply two-digit numbers by two-digit numbers. Using place value strategies -Break numbers apart based on place value to simplify multiplication. Applying properties of operations -Use distributive, associative, and commutative properties to solve problems efficiently. Modeling multiplication -Represent problems using equations, area models, and rectangular arrays. Explaining reasoning -Clearly describe and justify the steps taken to solve multiplication problems using visual and numerical methods.
7	Procedural Skills and Fluency	4.NBT.B.4- Fluently add and subtract multi-digit whole numbers using a standard algorithm.	4.NBT.A.3- Use place value understanding to round multi-digit whole numbers to any place.	Key Concepts for 4.NBT.B.4 -Place Value Structure, understanding the value of each digit in multi-digit numbers and how it affects addition and subtraction. -Base-Ten System, recognizing the role of regrouping (carrying and borrowing) within the base-ten number system. -Standard Algorithm, comprehending the step-by-step process rooted in place value for efficiently performing addition and subtraction. -Accuracy and Efficiency, emphasizing precision and logical steps in computational methods. -Number Relationships, understanding how numbers relate to each other when combined or separated.	Targeted Skills 4.NBT.B.4 -Fluently adding multi-digit whole numbers using the standard algorithm. -Fluently subtracting multi-digit whole numbers using the standard algorithm. -Regrouping (carrying and borrowing) accurately within the standard algorithm. -Aligning numbers by place value to ensure accurate computation. -Checking for reasonableness of answers using estimation or inverse operations.
8	Considerations:	Although 4.NBT.A.1 calls for multiplication and division to understand the place value, it does not refer to performing the skills of multiplying and dividing, it is refering to a digit in the left being 10 times more in value than the digit to the right. One thing to consider is the last time students' worked with place value was in second grade only up to the hundreds place, reviewing understanding of place value up to the hundreds before progressing to the larger values is suggested. *Consider your students' prerequisite knowledge and understanding when driving the pace of your unit.
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