Multistep Math Lesson Plan Multistep Math Lesson Plan
5th Grade Math Resource Room • Small Group (Tier 2/3)
Standard: CCSS.MATH.CONTENT.4.OA.A.3
Duration: 45–50 Minutes
Learning Objective
Students will solve 2-step word problems involving multi-digit multiplication by identifying the "hidden question" and modeling each step with 80% accuracy.
Essential Question
How does finding the "hidden first step" help us solve big, real-world multiplication problems without feeling overwhelmed?
Focus Strategy
C.U.B.E.S. + Two-Box Graphic Organizer (Circle numbers, Underline question, Box key verbs, Eliminate fluff, Solve step 1 then step 2).
Resource Room Accommodations & Scaffolds
• Visual Chunking
Step 1 (Green box) and Step 2 (Blue box) clearly separated.
• Multiplication Tools
Area models & 12×12 multiplication charts accessible.
• Read-Aloud / Decoding
Verbal read-aloud and teacher modeling for low-decoding IEPs.
• Highlighting Cue
Yellow highlight for initial total; pink for removal/addition.
1 Warm-Up & Prior Knowledge Activation 6 Mins
Quick choral review of place value multiplication (e.g., \(16 \times 20\) and \(16 \times 4\)). Review key signal words: "each" (groups/multiply) vs. "remained/left" (subtract). Anchor chart review: Total = Groups × Items per group .
2
"I Do" — Explicit Teacher Modeling
12 Mins
"A school bought 16 boxes of pencils. Each box contained 24 pencils. The students used 138 pencils on the first day. How many pencils remained?"
Teacher Think-Aloud: "First, I read the story. I see boxes and pencils inside each box. Before I can find how many are left, I need to solve the hidden question : How many pencils did the school buy altogether?"
Step 1 (Find Total Bought): Model multiplying \(16 \times 24\) on the board using both the Area Model (\(10 \times 20 = 200\), \(10 \times 4 = 40\), \(6 \times 20 = 120\), \(6 \times 4 = 24\); \(200 + 40 + 120 + 24 = 384\)) and standard algorithm. Total = 384 pencils .
Step 2 (Subtract Amount Used): "Now I answer the final question: 138 pencils were used. \(384 - 138 = 246\) pencils remained."
Reasonableness Check: Estimate: \(15 \times 25 \approx 375\); \(375 - 140 \approx 235\). Since 246 is close to 235, our solution is reasonable!
Multistep Math Lesson Plan • 5th Grade Resource Room Page 1 of 2
Lesson Delivery Continued | Guided Practice, Independent Work & Misconception Matrix
Standard 4.OA.3
3
"We Do" — Guided Co-Construction
12 Mins
"The art room received 14 boxes of markers. Each box had 18 markers. In the first semester, students used 95 markers. How many markers are left?"
Guided Prompts: Ask Student A: "What is our hidden question before we can find what's left?" (Prompt: How many total markers in 14 boxes?). Have all students record the hidden question on their organizer.
Co-Solving Step 1: Have students set up \(14 \times 18\). Guide partial products: \(14 \times 10 = 140\), \(14 \times 8 = 112\). Sum = 252 total markers . Circulate to check regrouping.
Co-Solving Step 2: "What verb tells us the next operation?" (used = subtract). Students compute \(252 - 95 = 157\). Verify with regrouping across place values.
4
"You Do" — Independent Application
10 Mins
Students independently solve Problem 3 on their handout: "A bakery packed 15 trays of cookies. Each tray had 22 cookies. They sold 164 cookies by noon. How many cookies remained?"
Prompting Hierarchy:
Level 1: Gesture to graphic organizer.
Level 2: "What is your hidden step?"
Level 3: Direct scaffold on area grid.
Success Target:
Step 1: \(15 \times 22 = 330\).
Step 2: \(330 - 164 = 166\) cookies remaining.
Observation Focus:
Note whether students stop after Step 1 or successfully execute Step 2.
Exit Ticket Administration (8 Mins)
4 Questions
Distribute the standalone 4-question Exit Ticket. Read instructions aloud to the group. Students work without peer assistance. Accommodations: Provide highlighters and multiplication reference charts for students with specific IEP accommodations.
Common Misconceptions & Intervention Moves
Premature Stopping
Student solves \(16 \times 24 = 384\) and writes 384 as the answer. Fix: Have them reread the question sentence and ask, "Did you use the 138 yet?"
Place Value Shift Error
Forgetting the zero placeholder in the tens row. Fix: Use colored highlighters to anchor the tens place with a "heart zero" before multiplying.
Operation Confusion
Adding all three numbers together (\(16 + 24 + 138\)). Fix: Physical counter act-out with 2 cups of 5 counters to show "equal groups" means multiply.
Multistep Math Lesson Plan • 5th Grade Resource Room Page 2 of 2
Step by Step Student Handout Step-by-Step Multistep Math
Standard 4.OA.3 • Multi-Digit Multiplication in Real-World Problems
Name:
Date:
2-Step Plan: Step 1: Find the total first (Multiply groups × each) • Step 2: Add or subtract what happened next
Problem 1 • I Do (Teacher Model) Follow along with your teacher
A school bought 16 boxes of pencils. Each box contained 24 pencils . The students used 138 pencils on the first day. How many pencils remained?
Step 1: Find total pencils bought (\(16 \times 24\))
Step 2: Subtract pencils used (Total − 138)
Final Answer: pencils remained
Problem 2 • We Do (Together) Let's solve together as a team
The art room received 14 boxes of markers. Each box had 18 markers . In the first semester, students used 95 markers . How many markers are left?
Step 1: Find total markers in all boxes
Step 2: Subtract markers used
Final Answer: markers left
Problem 3 • You Do (On Your Own) Show what you know!
A bakery packed 15 trays of cookies. Each tray had 22 cookies . They sold 164 cookies by noon. How many cookies remained?
Step 1: Find total cookies baked
Step 2: Subtract cookies sold
Final Answer: cookies remained
Standard 4.OA.3 • Multistep Problem Solving Remember to check: Does your answer make sense?
Multistep Mastery Exit Ticket Exit Ticket
Standard 4.OA.3 • Multi-Digit Multiplication & Multistep Problems
Name:
Date:
Score: / 4
1 Single-Step Computation: Multiply to find the product. 1 Point
\(28 \times 14 =\)
Product:
2 Single-Step Word Problem 1 Point
A school library received 18 packs of chapter books. Each pack contained 15 books . How many chapter books did the library receive in all?
Final Answer:
books in all
3 Multistep Word Problem 1 Point
A community garden planted 12 rows of tomato plants. Each row had 25 plants . A heavy storm damaged 45 of the plants . How many tomato plants remained healthy?
Step 1: Total plants planted
Step 2: Plants remaining
Answer: healthy plants remained
4 Multistep Equation & Solution 1 Point
Mrs. Gomez ordered 15 boxes of folders with 20 folders in each box. Later, the principal brought 65 more folders to her room.
Part A: Circle the equation that shows total folders (\(F\)):
A) \(F = (15 \times 20) - 65\)
B) \(F = (15 \times 20) + 65\)
C) \(F = (15 + 20) \times 65\)
Part B: Find the total folders:
Total: folders
Exit Ticket • Standard 4.OA.3 Turn in to the teacher when complete
Multistep Mastery Answer Key Teacher Answer Key & Scoring Guide
Standard 4.OA.3 • Student Handout & Exit Ticket Solutions
Teacher Reference Only
Part 1
Guided Practice Handout Solutions
Problem 1: Pencils ("I Do") Modeled
Step 1: \(16 \times 24\)
\((10 \times 24 = 240) + (6 \times 24 = 144) = \mathbf{384}\) total pencils.
Step 2: \(384 - 138 = \mathbf{246}\) pencils.
Final: 246 pencils remained
Problem 2: Markers ("We Do") Guided
Step 1: \(14 \times 18\)
\((14 \times 10 = 140) + (14 \times 8 = 112) = \mathbf{252}\) total markers.
Step 2: \(252 - 95 = \mathbf{157}\) markers.
Final: 157 markers left
Problem 3: Cookies ("You Do") Independent
Step 1: \(15 \times 22\)
\((15 \times 20 = 300) + (15 \times 2 = 30) = \mathbf{330}\) total cookies.
Step 2: \(330 - 164 = \mathbf{166}\) cookies.
Final: 166 cookies remained
Part 2
Exit Ticket Solutions (4 Questions • 4 Points Total)
Q1: Single-Step Computation (\(28 \times 14\)) 1 pt
Work: \(28 \times 10 = 280\); \(28 \times 4 = 112\); \(280 + 112 = 392\). (Or standard algorithm with regrouping).
Answer: Product = 392
Common Error: 192 (forgetting to add the carried tens digit).
Q2: Single-Step Word Problem (Books) 1 pt
Work: 18 packs × 15 books per pack. \(18 \times 10 = 180\); \(18 \times 5 = 90\); \(180 + 90 = 270\).
Answer: 270 books in all
Check: Must include units (books) or correct numerical response.
Q3: Multistep Tomato Plants (Reference Template) 1 pt
Step 1: \(12 \times 25 = 300\) total plants planted.
Step 2: \(300 - 45 = 255\) healthy plants remained.
Answer: 255 healthy plants remained
Partial Credit: 0.5 pt if Step 1 is correct (300) but subtraction had error.
Q4: Equation & Solution (Folders) 1 pt
Part A: Must circle B) \(F = (15 \times 20) + 65\) (0.5 pt)
Part B: \(15 \times 20 = 300\); \(300 + 65 = 365\) folders (0.5 pt)
Answer: Choice B • 365 folders
Common Error: Choosing A (subtracting) instead of recognizing addition.
Resource Room IEP Progress Monitoring & Mastery Rubric
Mastery (4 / 4 • 100%)
Student demonstrates mastery of standard 4.OA.3. Ready for 3-step problems or interpreting remainders in multi-step division contexts.