Equation Targets Tracker
Math Standards • 8.EE.C.7 Unit 3: Linear Relationships
Name: Date: Period:
Equation Mastery Target Tracker
Self-Assessment, Success Criteria & Evidence of Learning
Mastery Goal: 80%+
Core Target
I can solve multi-step linear equations with rational numbers, justify each algebraic step using inverse operations, and verify solutions.
Progressive Learning Targets ("I Can" Milestones)
Rate confidence: 1 (Starting) to 4 (Mastered)
Target A • Foundations
1 2 3 4
I can apply inverse operations in reverse order of operations to isolate a variable in two-step equations.
e.g., \( -3x + 8 = 29 \)
Target B • Simplifying
1 2 3 4
I can use the distributive property and combine like terms on each side before solving.
e.g., \( 2(4x - 3) - 5x = 18 \)
Target C • Both Sides
1 2 3 4
I can collect variable terms on one side of an equation, identifying one, infinite, or no solutions.
e.g., \( 7x - 4 = 3x + 16 \)
Target D • Modeling
1 2 3 4
I can define a variable, construct an algebraic equation from a scenario, and interpret solutions.
e.g., Comparing rental or fee plans
The Equation Balance Protocol (Success Criteria)
1
Simplify
Clear ( ) and combine like terms on each side.
2
Collect
Move all variable terms to one side of the = sign.
3
Isolate
Undo addition/subtraction, then multiply/divide.
4
Check
Substitute back into the original equation.
Model Exemplar: Annotating What Success Looks Like
Full Mastery Model
Original Equation:
\( 3(2x + 4) - 2x = 24 \)
\( 6x + 12 - 2x = 24 \)
\( 4x + 12 = 24 \)
\( 4x = 12 \)
\( x = 3 \)
Step 1: Distributed 3 into \( (2x+4) \) to get \( 6x + 12 \).
Step 2: Combined like terms: \( 6x - 2x = 4x \).
Step 3: Subtracted 12, then divided both sides by 4.
Check: \( 3(2(3) + 4) - 2(3) = 24 \) ✓
Mastery Scale:
1: Novice (Needs Help) 2: Developing (Minor Errors) 3: Proficient (Accurate & Justified) 4: Advanced (Can Explain)
Evidence of Mastery Checkpoints
Show all algebraic steps. Circle final answers. Complete the self-check verify box.
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Checkpoint 1 • Target B Fluency Check
Solve the equation by distributing and combining like terms:
\( 4(2x - 3) + 7 = 35 \)
Check: \( x = \) _____ Verified in original
Checkpoint 2 • Target C Variables Both Sides
Collect variable terms on one side and solve for \( y \):
\( 9y - 14 = 3(y + 2) \)
Check: \( y = \) _____ Verified in original
Checkpoint 3 • Target D (Modeling & Transfer) Real-World Problem Solving
Scenario: Summit Climbing Gym charges an equipment fee of $25 plus $12 per visit. Apex Bouldering charges a $45 equipment fee plus $8 per visit. Write and solve an equation to determine how many visits \( v \) make the total cost identical.
1. Define Variable: Let \( v = \) number of visits
2. Equation Setup: _____________________
3. Sentence Conclusion: Equal at _____ visits.
Checkpoint 4 • Error Detective (Critique Reasoning) Construct Viable Arguments
Maya's Incorrect Work:
\( 5(x - 3) = 25 \)
\( 5x - 3 = 25 \) (Line 1)
\( 5x = 28 \) (Line 2)
\( x = 5.6 \) (Line 3)
Explain Maya's error and describe the correct step:
Correct Solution: \( x = \) ______
Final Learning Target Self-Rating:
Level 1 (Novice) Level 2 (Developing) Level 3 (Proficient) Level 4 (Advanced)
One question I still have or skill I want to practice next:
Teacher Sign-Off Target Met?
Yes In Progress Redo
Signature: ____________ Date: _______