Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
Fractions, Decimals & Percentages
Challenges
Percent Reasoning, Equivalence & Real-World Applications
Secondary Mathematics
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define real-world percentage application vocabulary, including markup,
discount, interest, and commission.
▸ Explain how an original amount, a new amount, and a percent increase or decrease
relate to one another in the percent change formula.
▸ Define the vocabulary used when converting between fractions, decimals, and
percentages, including equivalent, simplify, and hundredth.
▸ Classify a percentage word problem by calculation type: percent of a number, percent
increase, percent decrease, or finding an original amount.
▸ Use elimination reasoning to determine unknown fraction-decimal-percent
equivalences from indirect clues.
▸ Recognize and extend an arithmetic pattern generated by simple interest,
distinguishing it from compound growth.
▸ Apply percent-of-a-number and percent-change calculations to solve real-world
problems.
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.
Every puzzle also includes its own Concept Check - a short reflection question that goes
one step beyond the grid itself.
Every answer is collected together near the end so you (or a parent or teacher) can check
the work.
Page 2 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
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.
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: Put the sequence in order and explain
6
the rule.
CODEBREAKER - Apply: Use the Code Key to answer each question and
7
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
PERCENTAGE APPLICATION UNLOCK - PUZZLE 1 OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces real-world percentage vocabulary - markup,
discount, interest, 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.
X F R E I N T E R E S T I
M R Y V Q K O T P N K E T
Y Z T N U O C S I D T B E
N U Z Q M Z J X R N S N R
N O I S S I M M O C M O M
S N Z T Z U R I F G A I I
B B C Q Z A T I N V R S N
G B A S T R Q C Q V K R A
V H V I O F W U V W U E T
F C O P C Y R Y C O P V I
D U O I V R H P Y C F N N
M R P R I N C I P A L O G
P R E P E A T I N G O C M
Page 4 Protymera
Fractions, Decimals & Percentages
Challenges
Percent Reasoning, Equivalence & Real-World Applications
Secondary Mathematics
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define real-world percentage application vocabulary, including markup,
discount, interest, and commission.
▸ Explain how an original amount, a new amount, and a percent increase or decrease
relate to one another in the percent change formula.
▸ Define the vocabulary used when converting between fractions, decimals, and
percentages, including equivalent, simplify, and hundredth.
▸ Classify a percentage word problem by calculation type: percent of a number, percent
increase, percent decrease, or finding an original amount.
▸ Use elimination reasoning to determine unknown fraction-decimal-percent
equivalences from indirect clues.
▸ Recognize and extend an arithmetic pattern generated by simple interest,
distinguishing it from compound growth.
▸ Apply percent-of-a-number and percent-change calculations to solve real-world
problems.
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.
Every puzzle also includes its own Concept Check - a short reflection question that goes
one step beyond the grid itself.
Every answer is collected together near the end so you (or a parent or teacher) can check
the work.
Page 2 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
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.
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: Put the sequence in order and explain
6
the rule.
CODEBREAKER - Apply: Use the Code Key to answer each question and
7
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
PERCENTAGE APPLICATION UNLOCK - PUZZLE 1 OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces real-world percentage vocabulary - markup,
discount, interest, 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.
X F R E I N T E R E S T I
M R Y V Q K O T P N K E T
Y Z T N U O C S I D T B E
N U Z Q M Z J X R N S N R
N O I S S I M M O C M O M
S N Z T Z U R I F G A I I
B B C Q Z A T I N V R S N
G B A S T R Q C Q V K R A
V H V I O F W U V W U E T
F C O P C Y R Y C O P V I
D U O I V R H P Y C F N N
M R P R I N C I P A L O G
P R E P E A T I N G O C M
Page 4 Protymera
