Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
Ratio & Proportion Challenge
Mathematical Puzzles for Reasoning, Problem Solving &
Application
Secondary - Mathematics (Grades 6-8)
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core ratio vocabulary, including ratio, rate, unit rate, and scale.
▸ Explain how the antecedent, consequent, and cross products relate to ratios and
proportions.
▸ Define proportion-solving vocabulary, including cross-multiply, extreme, means, and
direct and inverse variation.
▸ Classify a real-world ratio scenario as part-to-part, part-to-whole, or a rate.
▸ Use elimination reasoning to determine unknown ratio structures from indirect clues.
▸ Scale a recipe ratio across different batch sizes, and correctly sequence the steps for
solving a proportion using cross-multiplication.
▸ Simplify ratios and solve proportions to evaluate real-world comparisons.
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 - recognizing, connecting, retrieving,
distinguishing, deducing, organizing, and applying - plus a dedicated Bonus Challenge
Page with three tiered challenges, and a Player Progress Tracker to reflect on your journey
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.
2 CONCEPT MAP - Connect: Fill in how key terms relate to one another.
3 CROSSWORD - Retrieve: Use the clues to spell out each key term correctly.
Page 2 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
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: Solve each ratio or proportion problem, use the
7
Code Key, and reveal the hidden message.
BONUS CHALLENGE PAGE - Transfer: Complete three tiered challenges of
8
increasing depth.
Page 3 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
RATIO VOCABULARY UNLOCK - PUZZLE 1 OF 7:
WORD SEARCH
Puzzle Focus: This warm-up builds essential ratio and proportion vocabulary - including
ratio, rate, unit rate, scale, equivalent, part, and whole - before you apply these ideas in
the puzzles ahead. Find every item from the bank below - it may run across, down, or
diagonally.
C T T N P R R I E T A R
H N E I R N W A M J E X
E E R H O O O H T O A M
C L M U P S X F O I T J
W A P F O I U Q K L O P
B V N T R R S P R K E A
L I H Q T A I P K L P B
T U T U I P S C A L E H
V Q C F O M Y K H D V T
A E S J N O A A K M M R
P V V O G C S H F H W A
Z U Y U N I T R A T E P
Page 4 Protymera
Ratio & Proportion Challenge
Mathematical Puzzles for Reasoning, Problem Solving &
Application
Secondary - Mathematics (Grades 6-8)
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core ratio vocabulary, including ratio, rate, unit rate, and scale.
▸ Explain how the antecedent, consequent, and cross products relate to ratios and
proportions.
▸ Define proportion-solving vocabulary, including cross-multiply, extreme, means, and
direct and inverse variation.
▸ Classify a real-world ratio scenario as part-to-part, part-to-whole, or a rate.
▸ Use elimination reasoning to determine unknown ratio structures from indirect clues.
▸ Scale a recipe ratio across different batch sizes, and correctly sequence the steps for
solving a proportion using cross-multiplication.
▸ Simplify ratios and solve proportions to evaluate real-world comparisons.
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 - recognizing, connecting, retrieving,
distinguishing, deducing, organizing, and applying - plus a dedicated Bonus Challenge
Page with three tiered challenges, and a Player Progress Tracker to reflect on your journey
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.
2 CONCEPT MAP - Connect: Fill in how key terms relate to one another.
3 CROSSWORD - Retrieve: Use the clues to spell out each key term correctly.
Page 2 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
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: Solve each ratio or proportion problem, use the
7
Code Key, and reveal the hidden message.
BONUS CHALLENGE PAGE - Transfer: Complete three tiered challenges of
8
increasing depth.
Page 3 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
RATIO VOCABULARY UNLOCK - PUZZLE 1 OF 7:
WORD SEARCH
Puzzle Focus: This warm-up builds essential ratio and proportion vocabulary - including
ratio, rate, unit rate, scale, equivalent, part, and whole - before you apply these ideas in
the puzzles ahead. Find every item from the bank below - it may run across, down, or
diagonally.
C T T N P R R I E T A R
H N E I R N W A M J E X
E E R H O O O H T O A M
C L M U P S X F O I T J
W A P F O I U Q K L O P
B V N T R R S P R K E A
L I H Q T A I P K L P B
T U T U I P S C A L E H
V Q C F O M Y K H D V T
A E S J N O A A K M M R
P V V O G C S H F H W A
Z U Y U N I T R A T E P
Page 4 Protymera
