Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
Limits & Continuity Challenge
Interactive Mathematical Puzzles for Limit Evaluation,
Continuity and Discontinuities
High School & College Mathematics
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core limit vocabulary, including limit, approach, and asymptote.
▸ Explain how one-sided limits and continuity relate to a two-sided limit's existence.
▸ Define vocabulary related to continuity and discontinuity types, including removable,
jump, and piecewise.
▸ Classify a function's behavior at a point as continuous, removable, jump, or infinite
discontinuity.
▸ Use elimination reasoning to determine which limit value corresponds to which
function from indirect clues.
▸ Apply direct substitution across a repeated pattern of limits, and correctly sequence
the steps for evaluating a limit using factoring.
▸ Evaluate limits algebraically to 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.
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: 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
LIMIT VOCABULARY UNLOCK - PUZZLE 1 OF 7:
WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of limits before you apply
these ideas in the puzzles ahead. Find every item from the bank below - it may run
across, down, or diagonally.
Y G Y D E D I S O W T O L
E T A N I M R E T E D N I
Q T I Q V R F T H H O S E
D A Y U Y N K X X I V C T
E P T T N T H T T P D G O
D P W I I I I U T I U D T
I R O N M U T N R K B D P
S O W W V I N N I X P Y M
E A C T T I L I O F G Y Y
N C B S G H T B T C N X S
O H B L E Q C J W N S I A
D U A R B R P P S P O I D
S D S D J J N I I D O C D
Page 4 Protymera
Limits & Continuity Challenge
Interactive Mathematical Puzzles for Limit Evaluation,
Continuity and Discontinuities
High School & College Mathematics
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core limit vocabulary, including limit, approach, and asymptote.
▸ Explain how one-sided limits and continuity relate to a two-sided limit's existence.
▸ Define vocabulary related to continuity and discontinuity types, including removable,
jump, and piecewise.
▸ Classify a function's behavior at a point as continuous, removable, jump, or infinite
discontinuity.
▸ Use elimination reasoning to determine which limit value corresponds to which
function from indirect clues.
▸ Apply direct substitution across a repeated pattern of limits, and correctly sequence
the steps for evaluating a limit using factoring.
▸ Evaluate limits algebraically to 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.
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: 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
LIMIT VOCABULARY UNLOCK - PUZZLE 1 OF 7:
WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of limits before you apply
these ideas in the puzzles ahead. Find every item from the bank below - it may run
across, down, or diagonally.
Y G Y D E D I S O W T O L
E T A N I M R E T E D N I
Q T I Q V R F T H H O S E
D A Y U Y N K X X I V C T
E P T T N T H T T P D G O
D P W I I I I U T I U D T
I R O N M U T N R K B D P
S O W W V I N N I X P Y M
E A C T T I L I O F G Y Y
N C B S G H T B T C N X S
O H B L E Q C J W N S I A
D U A R B R P P S P O I D
S D S D J J N I I D O C D
Page 4 Protymera
