Place Value Mastery Guide
CCSS.MATH • Grade 2 • Domain: 2.NBT Curriculum Framework & Objective Guide
Place Value Mastery Guide
Standards-Based Learning Goals, Given Statements & Measurable Objectives
Target Focus: Tens & Ones
1
Standard-Aligned Measurable Goal
SMART / IEP Format
Given
Given a two-digit whole number (10–99) presented numerically, orally, or with concrete/pictorial base-ten blocks (tens rods and ones units) and access to a place-value chart...
Target
The student will state the place and value of each digit, decompose the quantity into tens and ones, and write equivalent representations in standard and expanded notation (e.g., 74 = 7 tens and 4 ones = 70 + 4)...
Criteria
With at least 80% accuracy (4 out of 5 correct items) across 3 consecutive formative assessment probes.
EQ 1: How does the position of a digit change how much it is worth?
EQ 2: How can we compose and decompose quantities in tens and ones?
Targeted Common Core Standards (NBT)
CCSS.MATH.CONTENT.2.NBT.A.1 Foundational
Understand that the two digits of a two-digit number represent amounts of tens and ones (e.g., 10 can be thought of as a bundle of ten ones — called a "ten").
CCSS.MATH.CONTENT.2.NBT.A.3 Representation
Read and write numbers to 100 using base-ten numerals, number names, and expanded form (e.g., 73 = 70 + 3 = 7 tens and 3 ones).
Unpacked Objectives with Explicit "Given" Conditions
Student "I Can" Statements
OBJ 1
Distinguish Place Name vs. Total Value
2.NBT.A.1
Given: An underlined digit in any two-digit number (e.g., 48 or 48)...
"I can name the place of a digit and tell how much that digit is actually worth." Ex: In 48, digit 4 has a value of 40.
OBJ 2
Compose & Decompose Tens and Ones
2.NBT.A.1
Given: A quantity of base-ten manipulatives or pictorial representations up to 99...
"I can bundle 10 ones into 1 ten, and rename numbers using different combinations of tens and ones." Ex: 5 tens 12 ones = 62.
OBJ 3
Multi-Modal Representations (Expanded & Standard Form)
2.NBT.A.3
Given: Any two-digit numeral or word name...
"I can write two-digit numbers in expanded form as an addition sentence and draw base-ten rods." Ex: 64 = 60 + 4.
Essential Academic Vocabulary Anchors
Digit
Any single numeral from 0–9 used to build numbers.
0, 1, 2, ... 9
Place
The position a digit holds (tens or ones position).
[ TENS | ONES ]
Value
The actual amount a digit is worth based on its place.
3 in tens = 30
Expanded Form
Expressing a number as the sum of each digit's value.
50 + 7 = 57
Place Value Instructional Blueprint • Page 1 of 2 Instructional Focus: Given Statements, Unpacked Standards & Targets
Assessment & Instructional Planning Progress Monitoring & Diagnostics
Success Criteria, Diagnostics & Interventions
Proficiency Scale & Success Criteria
Level 1 Emerging
Counts objects by ones only. Confuses the meaning of tens and ones (e.g., states 52 has 2 tens and 5 ones).
Needs concrete rods & unifix cubes
Level 2 Developing
Identifies tens and ones with visual base-ten models, but struggles to translate to expanded form independently.
Supported by place-value mats
Level 3 Proficient (Target)
Consistently states digit value, builds/draws tens and ones, and writes equivalent expanded form (e.g., 84 = 80 + 4).
Meets Grade 2 Benchmark
Level 4 Advanced
Flexibly composes/decomposes numbers non-traditionally (e.g., 64 is 6 tens 4 ones OR 5 tens 14 ones).
Ready for regrouping & 3-digit
Diagnostic Formative Assessment Tasks
Quick Check A: Digit Value
"Look at the number 73. What is the value of the digit 7?"
Mastery Response: "70 (or 7 tens)"
(Common error: answering '7')
Quick Check B: Expanded Form
"Write the number 59 as an addition sentence showing tens and ones."
Mastery Response: "50 + 9"
(Common error: writing '5 + 9')
Quick Check C: Non-Standard
"Maya has 3 tens and 15 ones. What total number does Maya have?"
Mastery Response: "45"
(Regroups 10 ones into 1 ten)
Common Misconceptions & Responsive Interventions
!
Misconception: Treating Digits as Face Value Only Digit vs. Value
Students view '6' in 64 as just six individual items rather than 6 groups of ten (60).
Actionable Intervention: Use snap cubes to physically bundle 6 distinct rods of ten, placing each rod on a T-chart under "Tens" before counting aloud: "10, 20, 30, 40, 50, 60."
!
Misconception: Reversal of Tens and Ones in Teen Numbers Teen Reversals
English names ("fourteen") name the ones digit first, causing students to write 41 instead of 14.
Actionable Intervention: Teach "ten-first" language ("1 ten and 4 ones") before standard names, using layered place-value arrow cards where 10 is physically placed underneath the 4.
Place Value Instructional Blueprint • Page 2 of 2 Instructional Focus: Assessment Rubrics & Targeted Interventions
