Learn on PengienVision, Mathematics, Grade 4Chapter 6: Use Operations with Whole Numbers to Solve Problems

Lesson 4: More Model Multi-Step Problems

In this Grade 4 lesson from enVision Mathematics Chapter 6, students learn to solve multi-step problems by drawing bar diagrams and writing expressions and equations with variables. Using real-world scenarios involving ticket prices, egg cartons, and quilts, students practice identifying hidden questions and breaking complex problems into sequential steps. The lesson also introduces evaluating reasonableness by comparing calculated answers to estimates.

Section 1

Solving for an Unknown in Multi-Step Problems

Property

To find an unknown value (a variable) in a multi-step problem, perform a series of calculations based on the relationships given in the problem. For a total TT and parts P1P_1, P2P_2, and an unknown part xx, the equation might be structured as TP1P2=xT - P_1 - P_2 = x or T(P1+P2)=xT - (P_1 + P_2) = x.

Examples

Section 2

Multiple Solution Paths

Property

A multi-step problem can often be solved using different, but equally valid, sequences of operations or equations. As long as the mathematical reasoning is correct, different solution paths will lead to the same final answer.

Examples

Book overview

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Chapter 6: Use Operations with Whole Numbers to Solve Problems

  1. Lesson 1

    Lesson 1: Solve Comparison Problems

  2. Lesson 2

    Lesson 2: Continue to Solve Comparison Problems

  3. Lesson 3

    Lesson 3: Model Multi-Step Problems

  4. Lesson 4Current

    Lesson 4: More Model Multi-Step Problems

  5. Lesson 5

    Lesson 5: Solve Multi-Step Problems

Lesson overview

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Section 1

Solving for an Unknown in Multi-Step Problems

Property

To find an unknown value (a variable) in a multi-step problem, perform a series of calculations based on the relationships given in the problem. For a total TT and parts P1P_1, P2P_2, and an unknown part xx, the equation might be structured as TP1P2=xT - P_1 - P_2 = x or T(P1+P2)=xT - (P_1 + P_2) = x.

Examples

Section 2

Multiple Solution Paths

Property

A multi-step problem can often be solved using different, but equally valid, sequences of operations or equations. As long as the mathematical reasoning is correct, different solution paths will lead to the same final answer.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 6: Use Operations with Whole Numbers to Solve Problems

  1. Lesson 1

    Lesson 1: Solve Comparison Problems

  2. Lesson 2

    Lesson 2: Continue to Solve Comparison Problems

  3. Lesson 3

    Lesson 3: Model Multi-Step Problems

  4. Lesson 4Current

    Lesson 4: More Model Multi-Step Problems

  5. Lesson 5

    Lesson 5: Solve Multi-Step Problems