Total and Takeaway Tutorial Guide TEKS 4.4A • Day 1 Whole Numbers
Teacher Resource
Total & Takeaway Tutorial Guide
Focus: Add To & Result Unknown
Targeted small-group intervention using strip diagrams to model part-part-whole relationships before calculating with standard whole number addition and subtraction algorithms.
1
Hook & Visual Diagnostic
Warm-Up Phase
Draw a simple two-part strip diagram on your whiteboard (Parts: 450 and 320; Whole: ?). Ask students: "Are we putting two parts together to find the whole total, or do we already know the whole total and need to take a part away?"
Key Habit: Have students point to where the unknown (? ) lives on the bar before setting up their vertical algorithm.
2
Guided Modeling: Strip Diagrams
I Do & We Do
Model A: Add To Unknown
"A library has 348 science books and 275 history books. How many total books are on the shelf?"
[ 348 | 275 ] → Total = ?
Prompt: "Two known parts combine to find the total."
Model B: Result Unknown Subtraction
"The cafeteria baked 820 rolls. Students ate 465 rolls at lunch. How many rolls remain?"
[ 465 | ? Remainder ] = 820
Prompt: "Whole bar is known; subtract one part."
3
Student Practice: Basic Whole Numbers
You Do Together
Distribute the Total & Takeaway Practice Worksheet . Students solve Problems 1–4 using basic whole numbers. Observe and coach:
Check Diagram Placement: Is the question mark placed on the whole bar (addition) or on a segment (subtraction)?Standard Algorithm Setup: Verify place-value column alignment and accurate regrouping steps.
4
Debrief & Self-Check
Wrap-Up Phase
Have students share how knowing the total quantity immediately signals subtraction. Confirm all answers include the correct unit label.
Common Misconceptions
Regrouping Across Zeros: Forgetting to rename hundreds when borrowing in problems like 3,000 − 1,640.Diagram Inversion: Writing the total number inside one of the smaller parts.
Guiding Questions
"What does the full length of the strip diagram represent?"
"If you combine both parts, do they equal the whole bar?"
"Did you start subtracting from the ones column?"
Total and Takeaway Practice Worksheet Math Tutorial • Day 1 Whole Numbers
Total & Takeaway Practice
Name:
Date: Group:
Directions: Complete each strip diagram with the known whole numbers and a ? for the unknown. Then solve using the standard algorithm.
Problem 1 Add To Unknown
A county fair sold 3,458 tickets on Friday and 2,875 tickets on Saturday. How many total tickets were sold on both days?
Total Tickets: [ ? ]
3,458
2,875
Standard Algorithm Workspace
Answer:
Problem 2 Result Unknown
An orchard harvested 8,020 pounds of oranges. They shipped 4,365 pounds to market. How many pounds of oranges remain?
Total Harvest: 8,020 lbs
4,365
? (Remaining)
Standard Algorithm Workspace
Answer:
Problem 3 Add To Unknown
A toy store received a shipment of 1,450 puzzle sets and 865 board games. How many total items were in the shipment?
Total Items: [ ? ]
1,450
865
Standard Algorithm Workspace
Answer:
Problem 4 Result Unknown
A school collected 3,000 canned goods for a food drive. Volunteers loaded 1,640 cans into a truck. How many cans are left?
Total Goal: 3,000 cans
1,640 (Loaded)
? (Remaining)
Standard Algorithm Workspace
Answer:
Self-Check: Did you line up place-value columns and label your answer with correct units?
Confidence: [ 1 ] [ 2 ] [ 3 ] [ 4 ] [ 5 ]
Total and Takeaway Answer Key Teacher Reference • Day 1 Whole Numbers Only
Total & Takeaway Answer Key
Full Solutions & Diagnostics
Grading Overview: 1 point for diagram accuracy, 1 point for vertical algorithm regrouping, and 1 point for final answer with units.
Problem 1 Answer Add To Unknown
Fair tickets: 3,458 on Friday + 2,875 on Saturday.
Total: 6,333 tickets (?)
3,458
2,875
¹ ¹ ¹ (regrouped) 3, 4 5 8
6, 3 3 3
Answer: 6,333 tickets
Problem 2 Answer Result Unknown Subtraction
Oranges: 8,020 harvested − 4,365 shipped.
Total Harvest: 8,020 lbs
4,365
? = 3,655
⁷ ⁹ ¹¹ ¹⁰ (regroup across zero) 8, 0 2 0
3, 6 5 5
Answer: 3,655 pounds
Problem 3 Answer Add To Unknown
Toy shipment: 1,450 puzzles + 865 board games.
Total Items: 2,315 items (?)
1,450
865
¹ ¹ (regroup tens/hundreds) 1, 4 5 0
2, 3 1 5
Answer: 2,315 items in all
Problem 4 Answer Result Unknown Subtraction
Food drive: 3,000 cans − 1,640 cans loaded.
Total Goal: 3,000 cans
1,640
? = 1,360
² ⁹ ¹⁰ (regroup across zeros) 3, 0 0 0
1, 3 6 0
Answer: 1,360 cans left
Intervention Next Steps
If students struggled with regrouping across zeros (Problem 2 or 4), model decomposing 3,000 into 2 thousands, 9 hundreds, and 10 tens before subtracting. If students struggled with diagram identification , review whether the situation asks for a combined total or a remaining part.
Mixed Operation Tutorial Guide TEKS 4.4A • Day 2 Whole Numbers
Teacher Resource
Mixed Operation Tutorial Guide
Focus: Operation Discrimination & Diagram Matching
Empowering students to determine whether a word problem requires combining parts (addition) or separating a part from a known whole (subtraction) before calculating with standard algorithms.
1
The "Total Detective" Routine
Diagnostic Phase
Pose the core decision question: "Do we already know the whole grand total, or is the total what we need to find?"
If Total is UNKNOWN → ADD:
Combine parts to find the full bar: Part + Part = Total
If Total is KNOWN → SUBTRACT:
Take away the known part: Total - Part = Remainder
2
Guided Modeling: Diagram Match-Up
I Do & We Do
Compare two similar scenarios to teach students how context determines the strip diagram structure:
Scenario A: Monarch Migration
"Butterflies flew 1,840 miles in week 1 and 1,295 miles in week 2. How many total miles did they fly?"
Parts combined → [ 1,840 | 1,295 ] = ?
Scenario B: Migration Goal
"The total journey is 3,135 miles. Butterflies have flown 1,840 miles. How many miles remain?"
Whole known → [ 1,840 | ? ] = 3,135
3
Mixed Practice: Basic Whole Numbers
You Do Together
Students complete the Mixed Operation Practice Worksheet . Observe their choices and ask:
"Which bar shows the total quantity in this problem?"
"Does the question ask for the whole amount or what is left over?"
"Does your answer make sense compared to the original numbers?"
4
Debrief & Exit Verification
Wrap-Up Phase
Review Problem 3 together. Check that students renamed 12,000 accurately into 11 thousands, 9 hundreds, 9 tens, and 10 ones before subtracting.
Keyword Skimming Alert
Remind students that words like "more" do not automatically mean addition. When finding how many more are needed to reach a total , subtraction is required.
Standard Mastery (TEKS 4.4A)
Student identifies whether the whole is known, completes the strip diagram, and executes standard multi-digit whole number addition and subtraction algorithms.
Mixed Operation Practice Worksheet Math Tutorial • Day 2 Whole Numbers Only
Mixed Operation Showdown
Name:
Date: Group:
Directions: Read each word problem. Choose or complete the strip diagram, then solve using the standard algorithm.
Part A: Model Match-Up Which diagram matches the story?
Situation: A wildlife sanctuary had 2,450 acres of protected land. A conservation group donated 1,825 more acres. What is the total acreage now?
[ ] Diagram A Total: ?
2,450
1,825
[ ] Diagram B Total: 2,450
1,825
?
Correct Diagram:
Total Acreage:
Problem 2 Addition
A community garden harvested 425 pounds of pumpkins and 195 pounds of squash. How many total pounds of vegetables were picked?
Total Pounds: [ ? ]
425 lbs
195 lbs
Algorithm Workspace
Answer:
Problem 3 Subtraction
An animal shelter set a goal to collect 12,000 cans of pet food. Volunteers collected 7,485 cans. How many more cans are needed?
Goal: 12,000 cans
7,485 (Collected)
? (Needed)
Algorithm Workspace
Answer:
Problem 4 Subtraction
A school store had 500 notebook folders in stock. During the first week of school, students bought 348 folders. How many folders remain?
Total Folders: 500
348
?
Standard Algorithm Workspace
Folders Left:
Key Question: Did you find a missing part of a known total, or combine parts to find the grand total?
Whole Numbers Only
Mixed Operation Answer Key Teacher Reference • Day 2 Whole Numbers Only
Mixed Operation Answer Key
Full Solutions & Rubric
Mastery Standard: Students accurately distinguish whether the total is known or unknown, complete the strip diagram, and execute vertical algorithms for whole numbers.
Part A Answer: Model Match-Up Add To Unknown
Situation: Eagle sanctuary (2,450 acres + 1,825 acres added).
✓ Diagram A is CORRECT Parts Combine
Since more acres were added to existing acres, we combine two parts to find the grand total (?). Diagram B incorrectly places 2,450 as the whole total.
¹ (regroup) 2, 4 5 0
4, 2 7 5 acres
Problem 2 Answer Addition
Garden harvest: 425 lbs pumpkins + 195 lbs squash.
Total: 620 lbs (?)
425 lbs
195 lbs
¹ ¹ (regroup tens/hundreds) 4 2 5
6 2 0 lbs
Answer: 620 pounds of vegetables
Problem 3 Answer Subtraction
Food drive: 12,000 goal − 7,485 collected.
Total Goal: 12,000 cans
7,485
? = 4,515
¹ ¹ ¹ ⁹ ⁹ ¹⁰ (regroup across zeros) 1 2, 0 0 0
4, 5 1 5 cans
Answer: 4,515 more cans needed
Problem 4 Answer Subtraction Across Zeros
Store folders: 500 total in stock − 348 sold.
Total Folders: 500
348
? = 152
⁴ ⁹ ¹⁰ (regroup across zeros) 5 0 0
1 5 2 folders
Final Answer: 152 folders
Check with addition: 348 + 152 = 500 ✓
Tutorial Mastery Assessment
3/4 or 4/4 correct: Student is proficient with basic whole-number problem representation and calculation.< 3/4 correct: Practice decomposing numbers with zeros on base-ten blocks.
Total Score: _____ / 8 pts
