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 17th
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. How does place value help us understand and work with numbers? 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 location of the number gives the digit its value -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. -The value of a digit changes based on its position. -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”). Concepts for NBT.A.2 -Numbers can be written in standard form, word form, and expanded form. -Place Value will help determine the value of each digit. -Numbers can be compared based on digits from left to right using symbols. Concepts for 4.NBT.B.6 -	Targeted Skills for 4.NBT.A.1 Understand Place Value Relationships -Read numbers through the thousands and beyond. -Write numbers in standard, word, and expanded form. -Identify digits in a number. -Identify the value of each digit. -Identify ones, tens, hundreds, thousands, and ten-thousands. -Explain the value of a digit based on its location. -Explain how a digits' position affects its value. -Skip count by 10's, 100's, and 1,000's. -Recognize patterns when numbers increase or decrease by powers of ten. Skills for 4.NBT.A.2 -	-Use models like base-ten blocks, place value charts, and number lines to show understanding of the value relationship between digits.	place value whole number digit place round estimate assess reasonableness base-ten numerals place value names (i.e. ones, tens, etc.) expanded form comparisons Standard form Word form Expanded form Compare Greater Than > Less Than < Equal to =	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
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 and how digits are organized in a base-ten system -Addition and subtraction as inverse operations -Standard algorithms for addition and subtraction -Regrouping (composing and decomposing numbers) -The relationship between place value and computation -Mathematical accuracy and efficienct -Reasonableness of answers through estimation -Solving real-word problems involving addition and subtraction	Targeted Skills 4.NBT.B.4 -Fluently add and subtract multi-digit whole numbers accurately. -Use the standard algorithm to solve addition and subtraction problems -Regroup when the sum in a place-value column is 10 greater -Regroup across one or more place values when needed. -Add three or more multi-digit numbers. -Solve addition and subtraction word problems. -Check answers using estimation or inverse operations. -Determine whether an answer is reasonable. Apply addition and subtraction to real-word situations. -Identify whether to add or subtract in a word problem.		Addend Sum Difference Standard Algorithm Regroup Compose Decompose Place Value Estimate Reasonable Answer Inverse operation Multi-Digit Number
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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