Double Digit Teacher Guide Reveal Math Framework
Double-Digit Dynamics
Standard Algorithms & strategies for 2-Digit Addition & Subtraction
Grade Level Grade 2 Lesson 1 of 2
Instructional Objectives
Fluently add and subtract within 100 using strategies based on place value, properties of operations, and the relationship between addition and subtraction.
Model standard addition and subtraction algorithms with regrouping using base-ten visual drawings.
Focus Standards
2.NBT.B.5
Fluently add and subtract within 100.
2.NBT.B.9
Explain why addition and subtraction strategies work.
Required Materials Base-ten blocks (tens rods, ones units), place value mats, and whiteboards.
Lesson Flow & Scripting
1. Spark & Warm-Up: Number Talk
10 Minutes
Write 38 + 25 on the board. Instruct students to solve this mentally and give a thumb-to-chest when they have a strategy. Do not accept immediate shouted answers.
Teacher Prompts & Script:
"How did you combine these values? Did anyone decompose the numbers into tens and ones? Who can explain why regrouping was necessary for the ones?"
2. Learn: Standard Algorithms
20 Minutes
Transition to standard written notation. Connect physical base-ten blocks side-by-side with the columns of the standard algorithm.
Addition Modeling (47 + 26)
Draw 4 tens and 7 ones. Add 2 tens and 6 ones. Point out that 7 + 6 = 13 ones. Model trading 10 ones for 1 ten rod, leaving 3 ones in the ones column and placing the new ten rod in the tens column. Write "1" above the tens column and "3" in the ones space.
Subtraction Modeling (62 - 38)
Draw 6 tens and 2 ones. Point out that we cannot subtract 8 ones from 2 ones. Model decomposing 1 ten rod into 10 separate ones. Now we have 5 tens and 12 ones. Cross out 8 ones (leaving 4 ones) and 3 tens (leaving 2 tens).
Number Ninjas: Lesson 1 Teacher Guide • Page 1 of 2
Double-Digit Dynamics • Instruction Part II Lesson 1 of 2
Guided & Independent Practice
Guided Practice (15 mins)
Work together on the standard algorithm board. Guide students in placing base-ten rods on their mats while writing numbers.
Key Scaffolding Problems:
• 54 + 29 (Regrouping addition)
• 73 - 45 (Regrouping subtraction)
Independent Practice (15 mins)
Have students work on the Practice Worksheet. Circulate to check their visual drawing alignments.
Look-Fors:
• Are they adding tens first instead of ones?
• Are they recording the regrouped 10 in the tens place?
Critical Misconceptions
Addition Overload
Students write the full sum of ones directly under the ones column (e.g., writing 13 underneath 7+6, resulting in an answer like 413 instead of 53). Correct this by forcing them to use physical trade mats first.
Subtraction Reversal
Students always subtract the smaller digit from the larger, regardless of position (e.g., in 62 - 38, they perform 8 - 2 = 6, yielding 36 instead of 24). Emphasize: "More on the floor? Go next door!"
Multi-Tiered Differentiation
Support
Provide grid paper or pre-drawn base-ten charts. Focus first on problems that do not require regrouping (e.g., 42 + 23) to establish standard procedure, then transition to single-regroup additions.
Extend
Challenge students to create standard story problems requiring multiple steps (addition followed by subtraction) or solve 3-addend equations (e.g., 18 + 25 + 32).
Exit Ticket Strategy
Use the Double-Digit Exit Ticket to assess individual masteries. Have students solve one addition problem requiring regrouping and one subtraction problem requiring regrouping. Collect and sort into three mastery stacks: Ready, Nearing Mastery, and Immediate Intervention.
Number Ninjas: Lesson 1 Teacher Guide • Page 2 of 2
Double Digit Practice Worksheet Number Ninjas Math Lab
Double-Digit Practice Worksheet
Addition & Subtraction
Name:
Date:
How to Complete Your Work: Use the Base-Ten Drawing space to draw blocks. Use the Standard Algorithm space to calculate your final numerical answer. Be sure to trade blocks if you need to!
A Addition: Show Your Blocks & Grid Calculations
Problem 1: 48 + 25 Regrouping
Base-Ten Drawing
Algorithm
□
4 8
+ 2 5
Problem 2: 36 + 27 Regrouping
Base-Ten Drawing
Algorithm
□
3 6
+ 2 7
B Subtraction: Show Your Blocks & Grid Calculations
Problem 3: 73 - 29 Regrouping
Base-Ten Drawing
Algorithm
□ □
7 3
- 2 9
Problem 4: 52 - 38 Regrouping
Base-Ten Drawing
Algorithm
□ □
5 2
- 3 8
C Word Problem Investigation
Leo has 42 superhero cards. He gives 17 cards to Maya. How many superhero cards does Leo have left? Show your algorithm below and write your final answer.
Show Your Work Area
Leo has: cards left
Number Ninjas Practice Sheet Topic: 2-Digit Regrouping
Double Digit Exit Ticket Formative Check
Double-Digit Exit Ticket
Lesson 1 Check
Name:
Date:
Problem 1: Addition Master Show Regrouping
Solve 57 + 26 using the standard algorithm. Draw base-ten rods and blocks to prove your work.
My Drawing
My Algorithm
□
5 7
+ 2 6
Problem 2: Subtraction Master Show Regrouping
Solve 84 - 39 using the standard algorithm. Draw base-ten rods and blocks to prove your work.
My Drawing
My Algorithm
□ □
8 4
- 3 9
Ninja Mindset Check-In
Circle the option that best tells how you feel about double-digit addition and subtraction:
Need Help I want more practice.
Getting There I can do it with minor help.
Ninja Master! I can explain it to a friend.
Number Ninjas Exit Ticket • Lesson 1 Formative Check
Place Value Teacher Guide Reveal Math Framework
Place-Value Pioneers
Three-Digit Numbers: Models, Expanded Forms & Comparing Values
Grade Level Grade 2 Lesson 2 of 2
Instructional Objectives
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones (e.g., 706 equals 7 hundreds, 0 tens, and 6 ones).
Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
Compare two three-digit numbers based on meanings of hundreds, tens, and ones.
Focus Standards
2.NBT.A.1
Understand 3-digit place value (100s, 10s, 1s).
2.NBT.A.3
Read/write numbers using numerals, names, & expanded form.
Required Materials Base-ten blocks (flats, rods, units), Place Value Charts, and dry-erase markers.
Lesson Flow & Scripting
1. Spark & Warm-Up: Build a Ten
10 Minutes
Call students to gathering rug. Show a bag with exactly 10 ten-rods. Count them together by tens: "10, 20, 30... 100!" Snap them together or line them up to show they match exactly one hundred flat.
Teacher Prompts & Script:
"We know ten ones make a ten. Now, we see ten tens make a hundred. What block do we use to show a hundred? That's right, a flat! Today we explore numbers with hundreds!"
2. Learn: 3-Digit Anatomy & Expanded Form
20 Minutes
Draw a 3-column place value chart (Hundreds, Tens, Ones) on the board. Model building the number 342.
Visual Block Mapping
Place 3 flats in the Hundreds, 4 rods in Tens, 2 units in Ones. Count: "3 hundreds is 300, 4 tens is 40, and 2 ones is 2." Explain that the placement changes the value of a number completely.
Expanded Form Equation
Show how standard form stretches like an accordion into expanded form:
Number Ninjas: Lesson 2 Teacher Guide • Page 1 of 2
Place-Value Pioneers • Instruction Part II Lesson 2 of 2
Guided & Independent Practice
Guided Practice (15 mins)
Guide students to represent different standard numbers on their personal dry-erase mats. Focus on building and writing values.
Key Scaffolding Numbers:
• 405 (The zero ten challenge! See misconceptions)
• 257 compared with 275 (Comparing values)
Independent Practice (15 mins)
Distribute the Place Value Practice Worksheet. Ensure students work quietly while drawing clear squares, lines, and dots for flats, rods, and units.
Place Value Practice Worksheet Number Ninjas Math Lab
Place-Value Pioneers Worksheet
3-Digit Place Value
Name:
Date:
Quick Guide for Drawings: Draw a square (□) for Hundreds flats, a line (|) for Tens rods, and a dot (•) for Ones units.
A Model & Expand: Build the Numbers
Problem 1: 245
Draw Blocks Here
Expanded Form: 245 =
Problem 2: 308 Watch the Zero!
Draw Blocks Here
Expanded Form: 308 =
B Forms Transition: Fill in the Blanks
452 = hundreds + tens + ones
600 + 40 + 7 =
580 = (Expanded Form)
Eight hundred thirteen =
C Compare Values: Use >, <, or =
Hint: Look at the hundreds column first. If hundreds are equal, compare tens!
Exercise 1
372
?
327
Exercise 2
598
?
601
Exercise 3
750
?
700 + 50
Number Ninjas Practice Sheet Topic: 3-Digit Place Value
Place Value Exit Ticket Formative Check
Place-Value Exit Ticket
Lesson 2 Check
Name:
Date:
Problem 1: Number Representative All Forms
The teacher says: "Six hundred seventy-four." Complete all three blocks below:
Draw Base-Ten Blocks
Standard Form
Number:
Expanded Form Equation
Equation:
Problem 2: Compare & Reason Conceptual Math
Compare Values
428
?
482
Explain your answer using place value word descriptions:
Ninja Mindset Check-In
Circle the option that best tells how you feel about three-digit numbers and comparing values:
Need Help I need some assistance.
Getting There I understand most of it.
Ninja Master! I can read/compare perfectly.
Number Ninjas Exit Ticket • Lesson 2 Formative Check
