Test Your Might Lesson Plan Test Your Might!
Algebra Foundations • Assessment Lesson Plan
Level: 9th Grade
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Mission Objective
Students will demonstrate mastery of the order of operations, evaluating expressions, and writing linear function rules through a focused review and assessment.
Strategic Why
This lesson solidifies fundamental algebra skills, essential for success in higher-level mathematics and subsequent units. Mastery here prevents future "boss fight" struggles with complex equations.
Pacing
Total Time: 65 Minutes
Approach: Review, Assess, Reflect
Inventory
• Smartboard/Projector
• Whiteboard/Markers
• Review Guide
• Unit 1 Test
• Answer Key
• Pencils & Scrap Paper
Pre-Game Setup
Review Materials: Thoroughly check the Lesson Plan, Slide Deck, Review Guide, Unit 1 Test, and Answer Key.Duplication: Prepare physical copies of the Review Guide (1 per student) and the Unit 1 Test (1 per student).Tech Check: Test the projector/smartboard to ensure the Slide Deck displays correctly.Environment: Arrange desks for individual assessment mode.
Gameplay Walkthrough
Warm-Up & Review
15 MIN
Display the welcome slide from the Slide Deck to set the tone.
Distribute the Review Guide .
Walk students through key concepts (PEMDAS, substitution, linear rules) using the Review Guide and corresponding slides.
Field last-minute questions to clear up any "fog of war" before the test starts.
Unit 1 Assessment
40 MIN
Distribute the Unit 1 Test .
Enforce "Testing Mode" protocol: clear desks, no talking, active monitoring.
Constraint: Provide support for instruction clarification only; do not assist with mathematical content.Collect tests as they are completed. Early finishers should transition to independent reading or "Bonus Quest" work.
Reflection & Save Point
10 MIN
Display the Reflection Slide from the deck.
Discuss the importance of self-assessment and identifying growth areas.
Conduct a confidence poll: How did the review session change their confidence level?
Briefly preview the next unit to bridge the transition.
Test Your Might Slide Deck Unit 1 Assessment
Test Your Might
Today, we're going to demonstrate our understanding of Order of Operations, Evaluating Expressions, and Linear Function Rules. Get ready to show what you know!
PRESS START TO BEGIN
Review: Order of Operations
Remember PEMDAS!
P Parentheses / Brackets
E Exponents / Orders
M Multiplication & Division L → R
A Addition & Subtraction L → R
Training Exercise
\[ 18 \div 3 \times 2 + (7 - 4) \]
Check your strategy on the Review Guide!
Review: Evaluating
To evaluate an expression, we substitute given values for variables and then simplify.
Pro Tip
Use parentheses when substituting negative numbers to keep signs clear!
EXAMPLE MISSION
If \( x = 3 \), find \( 2x + 5 \)
Step 1: \( 2(3) + 5 \)
Step 2: \( 6 + 5 \)
Final: \( 11 \)
Your turn! Work through Part 2 on the Review Guide.
Functions & Rules
The Machine
A function is like a game mechanic: for every 1 unique input, there is exactly 1 output!
The Formula
\( y = mx + b \)
m = Slope (Rate of Change)
b = y-intercept (Start Value)
Can you spot a linear pattern in the table on your Review Guide?
Phase 2: Challenge
Time to Shine
Code of Conduct
• Work independently.
• Show all your work clearly.
• Read each question carefully.
Teacher Support
I can clarify instructions, but I cannot assist with the mathematical answers.
Good Luck!
Reflect & Grow
"Every challenge is a chance to level up."
What concepts did you feel most confident about today?
What was the most challenging part of the assessment?
How will you sharpen your skills for the next unit?
GAME SAVED. PREPARING UNIT 2...
Test Your Might Review Guide Worksheet Unit 1 Review Guide
Foundations of Algebra
Player:
Date:
Quest Briefing: This guide will help you refresh your memory on key algebra concepts. Show all your work for maximum experience points!
Part 1: Order of Operations
Mnemonic: PEMDAS / BODMAS
1. Evaluate: \( 18 \div 3 \times 2 + (7 - 4) \)
2. Evaluate: \( 4^2 + 5 \times (10 - 6) \)
3. Evaluate: \( 30 - 2 \times (3 + 5)^2 \div 4 \)
Part 2: Evaluating Expressions
Strategy: Substitute & Simplify
Value Aa = 5
Value Bb = 2
Value Cc = 10
4. \( a + 3b \)
5. \( c^2 - ab \)
6. \( (c - a) \div b + 4 \)
Part 3: Functions & Linear Rules
Mechanic: Input vs Output
Functions
7. Is the following relation a function? Explain why or why not.
\( \{(1, 2), (2, 4), (3, 6), (1, 3)\} \)
8. If \( f(x) = 3x - 1 \), find \( f(4) \).
Linear Rules
9. Write a linear function rule for the table below:
10. A taxi charges a flat fee of $3 plus $2 per mile. Write a linear function rule to represent the cost \( C \) for \( m \) miles.
End of Mission Review • Unit 1 Complete
Test Your Might Unit 1 Test Test Your Might!
Unit 1 Assessment: Algebra Foundations
Player:
Date:
SCORE: ___ / 100
Mission Parameters: Read each question carefully. Show all work in the space provided to earn full credit. No talking is permitted during this session. Good luck, recruit!
Level 1
Order of Operations
1. Evaluate: \( 24 \div 4 + 2 \times (10 - 7) \)
2. Evaluate: \( 5^2 - (12 + 3) \div 5 \)
3. Which of the following expressions has a value of 15?
a) \( 3 + 2 \times 5 \)
b) \( (3 + 2) \times 5 \)
c) \( 10 \div 2 + 10 \)
d) \( 4 \times 3 + 1 \)
Level 2
Evaluating Expressions
4. Evaluate \( 4x + 7 \) when \( x = 3 \).
5. Evaluate \( y^2 - 2z \) when \( y = 5 \) and \( z = 8 \).
6. If \( a = 4 \) and \( b = 1 \), what is the value of \( (a - b) \times b + a \)?
a) 5
b) 7
c) 10
d) 12
Level 3
Functions & Linear Rules
7. Does the set of ordered pairs represent a function? Explain why or why not.
\( \{(0, 1), (1, 3), (2, 5), (0, 4)\} \)
8. If \( g(x) = x^2 - 5 \), find \( g(3) \).
9. Write a linear function rule \( y = mx + b \) for the data in the table.
Input (x) Output (y) 0 2 1 6 2 10 3 14
10. A gym membership costs $20 to sign up, plus $15 per month. Write a linear function rule to represent the total cost \( C \) for \( m \) months of membership.
Boss Defeated? Press End to Submit
Test Your Might Answer Key Master Key
Unit 1: Algebra Foundations • Solutions Guide
Teacher Resource
Review Guide Solutions
Part 1: Order of Operations
1. \( 18 \div 3 \times 2 + (7 - 4) \)
\( 18 \div 3 \times 2 + 3 \rightarrow 6 \times 2 + 3 \rightarrow 12 + 3 = \mathbf{15} \)
2. \( 4^2 + 5 \times (10 - 6) \)
\( 16 + 5 \times 4 \rightarrow 16 + 20 = \mathbf{36} \)
3. \( 30 - 2 \times (3 + 5)^2 \div 4 \)
\( 30 - 2 \times 8^2 \div 4 \rightarrow 30 - 2 \times 64 \div 4 \rightarrow 30 - 128 \div 4 \rightarrow 30 - 32 = \mathbf{-2} \)
Part 2: Evaluating Expressions
Values: a = 5, b = 2, c = 10
4. \( a + 3b \)
\( 5 + 3(2) = \mathbf{11} \)
5. \( c^2 - ab \)
\( 10^2 - (5)(2) = \mathbf{90} \)
6. \( (c - a) \div b + 4 \)
\( (5) \div 2 + 4 = \mathbf{6.5} \)
Part 3: Functions & Linear Rules
7. Function Check: \( \{(1, 2), (2, 4), (3, 6), (1, 3)\} \)
No. The input 1 has two different outputs (2 and 3).
8. \( f(x) = 3x - 1 \), find \( f(4) \)
\( 3(4) - 1 = 12 - 1 = \mathbf{11} \)
9. Table Rule
Slope (m) = 2, y-intercept (b) = 5. Rule: \( \mathbf{y = 2x + 5} \)
10. Taxi Problem
Start (b) = 3, Rate (m) = 2. Rule: \( \mathbf{C = 2m + 3} \)
Unit 1 Test Answer Key
Q1 12
Work: \( 6 + 2(3) \rightarrow 6 + 6 = 12 \)
Q2 22
Work: \( 25 - (15) \div 5 \rightarrow 25 - 3 = 22 \)
Q3 C
Work: \( 10 \div 2 + 10 = 5 + 10 = 15 \)
Q4 19
Work: \( 4(3) + 7 = 12 + 7 = 19 \)
Q5 9
Work: \( 5^2 - 2(8) \rightarrow 25 - 16 = 9 \)
Q6 B (7)
Work: \( (3) \times 1 + 4 = 7 \)
Q7 NO
Reason: The input 0 has two outputs (1 and 4).
Q8 4
Work: \( 3^2 - 5 \rightarrow 9 - 5 = 4 \)
Q9 y = 4x + 2
m = 4 (y increases by 4), b = 2 (when x = 0)
Q10 C = 15m + 20
b = 20 (sign up), m = 15 (monthly)
Verification Complete • Mission Successful
