Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
Algebraic Equation Reasoning
Challenge
Solving One-Variable Equations Using Properties of Equality
SECONDARY MATHEMATICS (GRADES 7-9)
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core linear equation vocabulary, including equation, solution,
and inverse operations.
▸ Explain how the properties of equality allow you to isolate a variable while keeping an
equation balanced.
▸ Define vocabulary related to solving multi-step equations, including like terms,
distribute, and coefficient.
▸ Classify linear equations by the number and type of steps required to solve them.
▸ Use elimination reasoning to determine which linear equation matches which solution
from indirect clues.
▸ Apply the same solving pattern across a repeated family of equations, and correctly
sequence the steps for solving a multi-step equation.
▸ Solve linear equations in one variable, convert numerical solutions into coded letters,
and reveal a hidden word.
HOW TO PLAY - YOUR PUZZLE JOURNEY
This template takes you through seven learning puzzles built around the same topic, each
one built around a different way of thinking, plus a dedicated Bonus Challenge Section with
ten tiered challenges, and a Player Progress Tracker at the end.
Every puzzle also includes its own Concept Check.
Every answer is collected together near the end so you (or a parent or teacher) can check
the work.
1 WORD SEARCH - Recognize: Find every key term hidden in the grid.
CONCEPT CONNECTIONS - Connect: Fill in how key terms relate to one
2
another.
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, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
3 CROSSWORD - Retrieve: Use the clues to spell out each key term correctly.
4 SORT & CLASSIFY - Distinguish: Place each item into its correct category.
5 LOGIC GRID - Deduce: Use the clues to match each entity correctly.
SEQUENCE & PATTERN - Organize: Fill in several missing items, then
6
reorder a scrambled sequence, and explain the rule.
CODEBREAKER - Apply: Use the Code Key to answer each question and
7
reveal the hidden message.
BONUS CHALLENGE SECTION - Transfer: Complete ten tiered challenges
8
of increasing depth.
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, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
LINEAR EQUATION VOCABULARY UNLOCK -
PUZZLE 1 OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of linear equations -
equation, solution, isolate, and more - before you apply these ideas in the puzzles ahead.
Find every item from the bank below - it may run across, down, or diagonally.
E U N K N O W N D I C I A
F T E I W F N K L I A P Y
V Q A O S Q D Z E H W Y C
I E G L D O Y C U K N G A
N L R E O T L J H O J R X
V B T D C S W U I E A X N
E A I Y J N I T T W C O P
R I H H U S A V K I R K O
S R C K I U D L E F O L Q
E A L B Q U B E A I X N Z
L V L E D Y Y E R B P S D
C Y T I L A U Q E K G S B
R W T J O P R O P E R T Y
Page 4 Protymera
Algebraic Equation Reasoning
Challenge
Solving One-Variable Equations Using Properties of Equality
SECONDARY MATHEMATICS (GRADES 7-9)
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core linear equation vocabulary, including equation, solution,
and inverse operations.
▸ Explain how the properties of equality allow you to isolate a variable while keeping an
equation balanced.
▸ Define vocabulary related to solving multi-step equations, including like terms,
distribute, and coefficient.
▸ Classify linear equations by the number and type of steps required to solve them.
▸ Use elimination reasoning to determine which linear equation matches which solution
from indirect clues.
▸ Apply the same solving pattern across a repeated family of equations, and correctly
sequence the steps for solving a multi-step equation.
▸ Solve linear equations in one variable, convert numerical solutions into coded letters,
and reveal a hidden word.
HOW TO PLAY - YOUR PUZZLE JOURNEY
This template takes you through seven learning puzzles built around the same topic, each
one built around a different way of thinking, plus a dedicated Bonus Challenge Section with
ten tiered challenges, and a Player Progress Tracker at the end.
Every puzzle also includes its own Concept Check.
Every answer is collected together near the end so you (or a parent or teacher) can check
the work.
1 WORD SEARCH - Recognize: Find every key term hidden in the grid.
CONCEPT CONNECTIONS - Connect: Fill in how key terms relate to one
2
another.
Page 2 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
3 CROSSWORD - Retrieve: Use the clues to spell out each key term correctly.
4 SORT & CLASSIFY - Distinguish: Place each item into its correct category.
5 LOGIC GRID - Deduce: Use the clues to match each entity correctly.
SEQUENCE & PATTERN - Organize: Fill in several missing items, then
6
reorder a scrambled sequence, and explain the rule.
CODEBREAKER - Apply: Use the Code Key to answer each question and
7
reveal the hidden message.
BONUS CHALLENGE SECTION - Transfer: Complete ten tiered challenges
8
of increasing depth.
Page 3 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
LINEAR EQUATION VOCABULARY UNLOCK -
PUZZLE 1 OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of linear equations -
equation, solution, isolate, and more - before you apply these ideas in the puzzles ahead.
Find every item from the bank below - it may run across, down, or diagonally.
E U N K N O W N D I C I A
F T E I W F N K L I A P Y
V Q A O S Q D Z E H W Y C
I E G L D O Y C U K N G A
N L R E O T L J H O J R X
V B T D C S W U I E A X N
E A I Y J N I T T W C O P
R I H H U S A V K I R K O
S R C K I U D L E F O L Q
E A L B Q U B E A I X N Z
L V L E D Y Y E R B P S D
C Y T I L A U Q E K G S B
R W T J O P R O P E R T Y
Page 4 Protymera
