5th Grade Math - Multi-Digit Multiplication & Multi-Step Problems

Curriculum Standards & Objectives Overview

• TEKS 5.3(B): Multiply with fluency a three-digit number by a two-digit number using the standard algorithm.

• TEKS 5.4(A): Recognize the connection between partial products and place value when multiplying multi-digit whole numbers.

• TEKS 5.4(B): Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.

Day 1: Monday, September 7, 2026

• School Status: No School (Holiday / Non-Instructional Day).

Day 2: Multi-Digit Multiplication with Area Models & Standard Algorithm

• Lesson Objective: Multiply multi-digit whole numbers using the standard algorithm and explain how the partial products connect to place value (Standards $5.4(A)$ / $5.3(B)$).

• Language Objective: Explain to a partner how place value and partial products help multiply multi-digit numbers using the standard algorithm.

• Essential Question: How does place value help us multiply multi-digit numbers accurately using the standard algorithm?

• Student Success Criteria:

  • Break numbers apart by place value.

  • Use an area model to show partial products.

  • Multiply using the standard algorithm.

• Fluency Practice:

  • $9$'s Multiplication practice ($2:00$ timer).

• Application Problem:

  • Scenario: Scientists are creating a hydrogel material that may replace damaged cartilage in human joints. This hydrogel can stretch to $21$ times its original length. If a strip of hydrogel measures $3.2\,\text{cm}$, what would its length be when stretched to capacity?

  • Mathematical Representation: $3.2\,\text{cm} \times 21$

• Guided Practice & Strategy Comparison (Area Model & Standard Algorithm):

  • Problem 1: $64 \times 73$

  • Problem 2: $814 \times 21$

  • Problem 3: $541 \times 32$

• Independent Practice & Work Assignments:

  • Page $55$: All Questions

  • Page $56$: All Questions

  • Page $57$: All Questions

  • Completion Protocol: Upon finishing all pages, tear them out and turn them in. Then log into iReady to complete the assigned Problem Set.

• Daily Science Transition & Checklist:

  • Put all math materials away (Math Notebook, Math books, Dry erase board, Dry erase eraser, Dry erase marker).

  • Retrieve Science Notebook and Laptop.

  • Complete and submit Page $35$.

  • Complete and submit Pages $38\text{--}42$.

Day 3: Tuesday, September 8, 2026 — Standard Algorithm Fluency & Assessment

• Lesson Objective: Multiply multi-digit whole numbers using the standard algorithm (Standard $5.3(B)$).

• Language Objective: Explain to a partner how place value and partial products help multiply multi-digit numbers using the standard algorithm.

• Essential Question: How does place value help us multiply multi-digit numbers accurately using the standard algorithm?

• Student Success Criteria:

  • Break numbers apart by place value.

  • Use an area model to show partial products.

  • Multiply using the standard algorithm.

• Fluency Practice:

  • $9$'s Multiplication practice ($2:00$ timer).

• Application Problem:

  • Re-examination of the hydrogel cartilage replacement problem ($3.2\,\text{cm}$ stretched to $21$ times length).

• Guided Practice Review:

  • $64 \times 73$

  • $814 \times 21$

  • $541 \times 32$

• Required Testing & Practice Assignments:

  • Complete $5\text{th}$ Grade Math WPC $5$ in online testing.

  • Page $55$: All Questions

  • Page $56$: All Questions

  • Page $57$: All Questions

  • Tear out pages and turn in; work on iReady Problem Set.

Day 4: Wednesday, September 9, 2026 — Place Value Strategies & Estimation

• Lesson Objective: Use place value strategies and algorithms to solve multiplication problems.

• Language Objective: Explain strategy and justify why an answer is reasonable using mathematical vocabulary.

• Essential Question: How can place value and estimation help us choose an efficient strategy and determine whether our answer is reasonable?

• Student Success Criteria:

  • Break numbers apart by place value.

  • Use an area model to show partial products.

  • Multiply using standard algorithm.

• Fluency Practice:

  • $10$'s Multiplication practice ($10:00$ timer).

• Application Problem:

  • Scenario: A company makes $6,200$ cell phone cases each day. How many cell phone cases does the company make in $300$ days?

  • Mathematical Expression: $6,200 \times 300 = 1,860,000$

• Concepts Review Problems:

  • Problem 1: $921 \times 16$

  • Problem 2: $702 \times 33$

  • Problem 3: $461 \times 34$

• Independent Practice Assignments:

  • Page $63$: All Questions

  • Page $64$: All Questions

  • Page $65$: All Questions

  • Page $66$: All Questions

  • Instructions: Tear out completed pages and turn them in, then work on iReady Problem Set.

Day 5: Thursday, September 10, 2026 — Complex Multiplication & Module 1 Assessment

• Lesson Objective: Use place value strategies and algorithms to solve multiplication problems.

• Language Objective: Explain strategy and justify why an answer is reasonable using mathematical vocabulary.

• Essential Question: How can place value and estimation help us choose an efficient strategy and determine whether our answer is reasonable?

• Student Success Criteria:

  • Identify the operation needed to solve a problem.

  • Accurately use a model, strategy, or standard algorithm.

• Fluency Practice:

  • $11$'s Multiplication practice ($10:00$ and $05:00$ timers).

• Application Problem:

  • Scenario: Erin and Frannie entered a rug design contest. The rules stated that the rug's dimensions must be $32\,\text{inches} \times 45\,\text{inches}$ and that they must be rectangular. Calculate the total area of the rugs.

  • Mathematical Calculation: $\text{Area} = 32\,\text{in} \times 45\,\text{in} = 1,440\,\text{in}^2$

• Concepts Review & Development Problems:

  • Practice 1: $125 \times 33$

  • Practice 2: $543 \times 82$

  • Practice 3: $682 \times 49$

  • Practice 4 (Concept Development): $346 \times 27$

• Independent Practice Assignments:

  • Page $71$: All Questions

  • Page $72$: All Questions

  • Page $73$: All Questions

  • Tear out finished pages and turn in, then log into iReady.

Day 6: Friday, September 11, 2026 — Multi-Step Word Problems & Equations

• Lesson Objective: Solve multi-step word problems choosing the correct operations, and using the standard multiplication algorithm accurately (Standard $5.4(B)$).

• Language Objective: Explain the steps used to solve a multi-step problem using mathematical vocabulary and evidence from the problem.

• Essential Question: How can we determine the steps and operations needed to solve a multi-step problem?

• Student Success Criteria:

  • Multiply accurately using the standard algorithm.

  • Determine which operation to use.

  • Recognize when another operation is needed after multiplication.

  • Write an expression/equation representing the situation.

• Fluency Practice:

  • $5$'s Multiplication practice ($10:00$ and $05:00$ timers).

• Application Problem:

  • Scenario: Jaxon earned $\$39$ raking leaves. His brother, Dayawn, earned $7$ times as much waiting on tables. Write a numerical expression to show Dayawn's earnings. How much money did Dayawn earn?

  • Numerical Expression: $39 \times 7$

  • Total Earnings Calculation: $39 \times 7 = \$273$

• Concept Development Problems (Bluebonnet Learn Book, Page 75):

  • Problem 1 (Garden Club Trees):

  • Scenario: A garden club had some money to purchase trees to plant in the community. After buying $82$ trees at $\$199$ each, they had $\$1,068$ remaining. How much money did the garden club have before buying the trees?

  • Expression/Equation: $\text{Total Money} = (82 \times 199) + 1,068$

  • Calculation: $82 \times 199 = 16,318$

  • Final Answer: $16,318 + 1,068 = \$17,386$

  • Problem 2 (Jewelry Makers - Gemma & Leah):

  • Base Information: Gemma made $106$ beaded necklaces. Leah made $39$ more necklaces than Gemma ($106 + 39 = 145$ necklaces).

  • Part A (Total Beads):

    • Each necklace has exactly $84$ beads. How many beads did both girls use altogether?

    • Total Necklaces: $106 + 145 = 251$ necklaces

    • Total Beads Equation: $251 \times 84$

    • Calculation: $251 \times 84 = 21,084\,\text{beads}$

  • Part B (Earnings Comparison):

    • Gemma sold each of her necklaces for $\$14$. Leah sold each of her necklaces for $\$10$ more ($\$24$ per necklace).

    • Gemma's Total Sales: $106 \times 14 = \$1,484$

    • Leah's Total Sales: $145 \times 24 = \$3,480$

    • Comparison: Leah made more money.

    • Difference Calculation: $3,480 - 1,484 = \$1,996$ more.

  • Problem 3 (Fitness Center Equipment):

  • Scenario: Peng bought $26$ weight sets for her new fitness center at $\$73$ each. Then, she bought $19$ stationary bikes for $\$749$ each. How much did she spend on her new equipment? Write an expression, and then solve.

  • Expression: $(26 \times 73) + (19 \times 749)$

  • Weight Sets Cost: $26 \times 73 = 1,898$

  • Stationary Bikes Cost: $19 \times 749 = 14,231$

  • Total Spent: $1,898 + 14,231 = \$16,129$

  • Problem 4: Specific decimal/numeric review: $7.74$

• Problem Set Assignments:

  • Page $76$: All Questions

  • Page $77$: All Questions

  • Page $79$: All Questions

  • Tear out completed pages and turn them in, then log into IXL.

Station Rotations & Classroom Management Protocols

• Station Breakdown:

  • Station 1 (Teacher Station): Page $65$, Questions $\#2(A\text{--}F)$

  • Station 2 (Ladybug): Page $66$, Questions $\#4, 5$

  • Station 3 (Student Desk): Page $67$, Questions $\#2(A, B)$

  • Station 4 (Tech Station): IXL Teacher Recommendation

• Station Behavioral Expectations:

  • Stay on task at all times.

  • Show all work for each problem explicitly.

  • Partner talk must be kept strictly at a whisper.

• Protocol Prior to Asking the Teacher for Help:

  • Step 1: Show your work.

  • Step 2: Apply and double-check your problem-solving strategies.

  • Step 3: Ask for help from your group members.

  • Step 4: If all previous steps are completed and assistance is still required, raise your hand.

Online Testing & Assessment Procedures

• Online Testing System Login Sequence (Classlink / Eduphoria):

  • Step 1: Open Computer.

  • Step 2: Navigate to Classlink.

  • Step 3: Open Online Testing / Eduphoria portal.

  • Step 4: Enter Username: Lunch Number.

  • Step 5: Enter Password: student.

  • Step 6: Locate and select the assigned assessment (e.g., 2026-2027 5th Grade Math Module 1 Assessment).

• Assessment Rules & Guidelines:

  • Work out every single problem on a separate sheet of paper.

  • Do not rush; take your time and review all work.

  • Apply all taught mathematical strategies (area models, standard algorithms, place value breakdown).

  • Turn in scratch paper / written work sheet upon completing the test.

  • Transition immediately to iReady or IXL after submitting online.