Grid Learning System (GLS)
Functions Unlocked
Mastering Function Evaluation, Classification, and Invertibility
High School & College Mathematics
WHAT YOU WILL LEARN
▸ Evaluate function notation f(x) for polynomial, rational, and piecewise functions.
▸ Define key function-behavior vocabulary, including domain restrictions, vertical and
horizontal line tests, and graph features.
▸ Classify a given relation as a polynomial function, rational function, piecewise function,
or not a function at all.
▸ Determine whether a function is invertible using injective, surjective, and bijective
reasoning.
▸ Use elimination and evaluation-based reasoning to determine unknown function
assignments from indirect clues.
▸ Apply a standard sequence of steps to find an inverse algebraically, when an inverse
function exists.
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.
Each puzzle opens with a short worked example using different content than your puzzle,
then explains what it teaches and its own rules. Every answer is collected together near
the end so you (or a parent or teacher) can check the work.
Page 1 Protymera
, Grid Learning System (GLS)
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: Answer each question to reveal the hidden
7
message.
BONUS CHALLENGE PAGE - Transfer: Complete three tiered challenges of
8
increasing depth.
Page 2 Protymera
, Grid Learning System (GLS)
FUNCTION VOCABULARY UNLOCK - PUZZLE 1 OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of functions - domain, range,
composition, 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.
R E T O T P M Y S A C Z
J D T E Y J Q E U O W N
Y O U S Q X W R M O U N
O M P F Y T J P R Q Y F
U A N H T D O E J P U N
T I I F G S V V M N I Q
P N V R I A C A C G F D
U E D T L Q P T T U F Y
T K I U J P I A F D W O
S O A J I O F V G C G C
N T K N N V U W L D V R
E B G D K P E G N A R V
Page 3 Protymera
Functions Unlocked
Mastering Function Evaluation, Classification, and Invertibility
High School & College Mathematics
WHAT YOU WILL LEARN
▸ Evaluate function notation f(x) for polynomial, rational, and piecewise functions.
▸ Define key function-behavior vocabulary, including domain restrictions, vertical and
horizontal line tests, and graph features.
▸ Classify a given relation as a polynomial function, rational function, piecewise function,
or not a function at all.
▸ Determine whether a function is invertible using injective, surjective, and bijective
reasoning.
▸ Use elimination and evaluation-based reasoning to determine unknown function
assignments from indirect clues.
▸ Apply a standard sequence of steps to find an inverse algebraically, when an inverse
function exists.
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.
Each puzzle opens with a short worked example using different content than your puzzle,
then explains what it teaches and its own rules. Every answer is collected together near
the end so you (or a parent or teacher) can check the work.
Page 1 Protymera
, Grid Learning System (GLS)
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: Answer each question to reveal the hidden
7
message.
BONUS CHALLENGE PAGE - Transfer: Complete three tiered challenges of
8
increasing depth.
Page 2 Protymera
, Grid Learning System (GLS)
FUNCTION VOCABULARY UNLOCK - PUZZLE 1 OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of functions - domain, range,
composition, 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.
R E T O T P M Y S A C Z
J D T E Y J Q E U O W N
Y O U S Q X W R M O U N
O M P F Y T J P R Q Y F
U A N H T D O E J P U N
T I I F G S V V M N I Q
P N V R I A C A C G F D
U E D T L Q P T T U F Y
T K I U J P I A F D W O
S O A J I O F V G C G C
N T K N N V U W L D V R
E B G D K P E G N A R V
Page 3 Protymera
