6.AT.8 Lesson 8-3-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

8.3 · Part II

Supported Application · Guided Entry to Today's Problem

Solve Multiplication and Division Equations · Inverse operation

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 8.3 · Part II
1Solving Multiplication & Division Equations
2Strategy Model — step by step
  1. Identify the operation applied to the variable
  2. Use the inverse operation: Divide to undo multiplication; multiply to undo division
  3. Balance: Apply the inverse operation to both sides to isolate the variable
3Mathematical Word Bank
  • Solve Multiplication and Division Equations (Resolver ecuaciones de multiplicación y división) — Use inverse multiplication or division to isolate the variable.
  • Inverse operation (Operación inversa) — Two math actions that undo each other, like × and ÷.
  • Multiply (Multiplicar) — To add equal groups again and again.
  • Divide (Dividir) — To split into equal groups.
  • Isolate (Despejar) — To get the letter by itself on one side.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
4Watch out
  • A common mistake in Solve Multiplication and Division Equations is applying the SAME operation again instead of the inverse — for example, seeing 6x = 42 and multiplying both sides by 6 to get x = 252, instead of dividing by 6 to get x = 7. Before you submit, ask: did I use the OPPOSITE operation shown in the equation, and did I apply it to both sides?
  1. 1 MULTIPLE CHOICE

    Solve: y / 7 = 5

    1. Ay = 35
    2. By = 12
    3. Cy = 2
    4. Dy = 7
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    (Lesson 8.1) Which equation represents: 'A number plus 12 equals 30'?

    1. An + 12 = 30
    2. Bn − 12 = 30
    3. C12n = 30
    4. Dn / 12 = 30
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    (Lesson 8.1) Which equation represents: 'Seven less than a number is 18'?

    1. An − 7 = 18
    2. B7 − n = 18
    3. Cn + 7 = 18
    4. Dn / 7 = 18
    ✏️ Workspace & Solution Steps
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
Starter: My mathematical claim is that the solution is...
E Evidence
Starter: The evidence from the model/table demonstrates that...
R Reasoning
Starter: This proves my answer because the standard mathematical definition of...
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It
6.AT.8 Lesson 8-3-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

8.3 · Part II

On-Level Application · Standard Rigor

Solve Multiplication and Division Equations · Inverse operation

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 8.3 · Part II
1Solving Multiplication & Division Equations
2The Structural Procedure
  1. Identify the operation applied to the variable
  2. Use the inverse operation: Divide to undo multiplication; multiply to undo division
  3. Balance: Apply the inverse operation to both sides to isolate the variable
3Mathematical Word Bank
  • Solve Multiplication and Division Equations (Resolver ecuaciones de multiplicación y división) — Use inverse multiplication or division to isolate the variable.
  • Inverse operation (Operación inversa) — Two math actions that undo each other, like × and ÷.
  • Multiply (Multiplicar) — To add equal groups again and again.
  • Divide (Dividir) — To split into equal groups.
  • Isolate (Despejar) — To get the letter by itself on one side.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
4Watch out
  • A common mistake in Solve Multiplication and Division Equations is applying the SAME operation again instead of the inverse — for example, seeing 6x = 42 and multiplying both sides by 6 to get x = 252, instead of dividing by 6 to get x = 7. Before you submit, ask: did I use the OPPOSITE operation shown in the equation, and did I apply it to both sides?
  1. 1 MULTIPLE CHOICE

    A detective splits 54 clues equally among 9 case files. The equation 9c = 54 represents this. What is c?

    1. Ac = 6
    2. Bc = 63
    3. Cc = 45
    4. Dc = 9
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Vault A is sealed with 4x = 32. Crack the lock: what is x?

    1. Ax = 8
    2. Bx = 128
    3. Cx = 28
    4. Dx = 36
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Vault B is sealed with x / 3 = 6. Crack the lock: what is x?

    1. Ax = 18
    2. Bx = 2
    3. Cx = 9
    4. Dx = 3
    ✏️ Workspace & Solution Steps
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It
6.AT.8 Lesson 8-3-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

8.3 · Part II

Extension & Non-Routine Application

Solve Multiplication and Division Equations · Inverse operation

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 8.3 · Part II
1Solving Multiplication & Division Equations
2The Structural Procedure
  1. Identify the operation applied to the variable
  2. Use the inverse operation: Divide to undo multiplication; multiply to undo division
  3. Balance: Apply the inverse operation to both sides to isolate the variable
3Mathematical Word Bank
  • Solve Multiplication and Division Equations (Resolver ecuaciones de multiplicación y división) — Use inverse multiplication or division to isolate the variable.
  • Inverse operation (Operación inversa) — Two math actions that undo each other, like × and ÷.
  • Multiply (Multiplicar) — To add equal groups again and again.
  • Divide (Dividir) — To split into equal groups.
  • Isolate (Despejar) — To get the letter by itself on one side.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
4Watch out
  • A common mistake in Solve Multiplication and Division Equations is applying the SAME operation again instead of the inverse — for example, seeing 6x = 42 and multiplying both sides by 6 to get x = 252, instead of dividing by 6 to get x = 7. Before you submit, ask: did I use the OPPOSITE operation shown in the equation, and did I apply it to both sides?
  1. 1 MULTIPLE CHOICE

    What is the solution of 6m = 54?

    1. Am = 9
    2. Bm = 48
    3. Cm = 324
    4. Dm = 60
    ✏️ Workspace & Solution Steps
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It