Learning Goals & Products

Learning Goals

1

Students will be able to analyze 2-digit by 2-digit and up to 4-digit by 1-digit multiplication problems using area models, partial products, and the standard algorithm to connect place value reasoning to efficient computation.

2

Students will be able to explain 2-digit by 2-digit and up to 4-digit by 1-digit multiplication calculations using equations, rectangular arrays, and area models to show how each step in the standard algorithm represents partial products.

3

Students will be able to evaluate multiplication strategies for accuracy, efficiency, and clarity by comparing sample solutions and identifying where regrouping and place value are shown.

4

Students will be able to revise their multiplication work after feedback by correcting errors in 2-digit by 2-digit and up to 4-digit by 1-digit problems and documenting what changed.

5

Students will be able to present and justify a chosen multiplication method for a given problem by using math language to explain why the standard algorithm, area model, or partial products is most effective.

Products

individual

Multiplication Investigation Notebook

A research-style notebook showing each student's question, strategy trials, work samples, error corrections, and written analysis of how the standard algorithm connects to area models and partial products. It proves individual mastery through solved problems, method notes, and a reflection on which strategy fits each problem best.

team

Fluency Fest Investigation Report and Strategy Presentation

A team report and presentation that synthesize each member's evidence into shared findings about multiplication strategies, including visual models, sample computations, and a comparison of efficiency and clarity. The team must explain conflicting or surprising results, justify conclusions, and answer questions from the audience.

Rubric
Competency Progression Rubric Competency-first rubric
Category
Learning Goal
Stage 1
Stage 2
Stage 3
Stage 4
Deeper Learning Competencies
Critical Thinking & Problem Solving
  • I can multiply a whole number up to four digits by a one-digit number and multiply two two-digit numbers using a place-value strategy (like an area model, partial products, or the standard algorithm), with some guidance from stations or examples, and I can check that my answer makes sense.
  • I can choose and carry out a multiplication method based on place value (including area models or partial products) and connect it to the standard algorithm by explaining what each step represents, with only minor errors that I correct after feedback.
  • I can compare multiple multiplication strategies (area model, partial products, and standard algorithm) for the same problem and explain why a method is efficient or easier to understand, using clear math language about place value and regrouping.
  • I can independently solve multi-step multiplication challenges (up to four digits by one digit and two two-digit numbers), select the most efficient and explainable strategy, and justify my choice by illustrating and connecting equations, arrays/area models, and the standard algorithm; I can also revise my work for accuracy and clarity using feedback.
Deeper Learning Competencies
Effective Communication
Deeper Learning Competencies
Collaboration
Deeper Learning Competencies
Self Directed Learning