Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
Subtraction Reasoning Quest
Multi- Digit Subtraction, Regrouping & Mathematical Reasoning
Challenge
Primary Mathematics (Grades 2 - 4)
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core subtraction vocabulary, including minuend, subtrahend,
difference, and regrouping.
▸ Explain how minuend, subtrahend, difference, and regrouping relate to one another in
multi-digit subtraction.
▸ Define vocabulary related to subtraction strategies, including estimate, round, align,
and check.
▸ Classify multi-digit subtraction problems by which columns require regrouping.
▸ Use elimination reasoning to determine unknown subtraction problems from indirect
clues.
▸ Apply repeated subtraction of a multi-digit number to extend a pattern, and correctly
sequence the steps for solving a multi-digit subtraction problem with regrouping.
▸ Subtract multi-digit numbers with regrouping to evaluate expressions 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.
2 CONCEPT MAP - Connect: Fill in how key terms relate to one 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
SUBTRACTION VOCABULARY UNLOCK -
PUZZLE 1 OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of subtraction - decrease,
compare, place value, and other key subtraction terms- before you apply these ideas in
the puzzles ahead. Find every item from the bank below - it may run across, down, or
diagonally.
N G C S X Q B S X B O A
C N R O M R K F H M P Z
O T K E L A J U G K E E
M D F J A U L Y D X R Z
P E D M G T M L R U A E
A C V K Y V E N E C T R
R R K K F C L R Q R I O
E E V M P I L T W Q O N
Z A F Q O E C F R O N V
E S S U B T R A C T G O
W E N C V E R T I C A L
J O D N P L A C E O U K
Page 4 Protymera
Subtraction Reasoning Quest
Multi- Digit Subtraction, Regrouping & Mathematical Reasoning
Challenge
Primary Mathematics (Grades 2 - 4)
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core subtraction vocabulary, including minuend, subtrahend,
difference, and regrouping.
▸ Explain how minuend, subtrahend, difference, and regrouping relate to one another in
multi-digit subtraction.
▸ Define vocabulary related to subtraction strategies, including estimate, round, align,
and check.
▸ Classify multi-digit subtraction problems by which columns require regrouping.
▸ Use elimination reasoning to determine unknown subtraction problems from indirect
clues.
▸ Apply repeated subtraction of a multi-digit number to extend a pattern, and correctly
sequence the steps for solving a multi-digit subtraction problem with regrouping.
▸ Subtract multi-digit numbers with regrouping to evaluate expressions 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.
2 CONCEPT MAP - Connect: Fill in how key terms relate to one 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
SUBTRACTION VOCABULARY UNLOCK -
PUZZLE 1 OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of subtraction - decrease,
compare, place value, and other key subtraction terms- before you apply these ideas in
the puzzles ahead. Find every item from the bank below - it may run across, down, or
diagonally.
N G C S X Q B S X B O A
C N R O M R K F H M P Z
O T K E L A J U G K E E
M D F J A U L Y D X R Z
P E D M G T M L R U A E
A C V K Y V E N E C T R
R R K K F C L R Q R I O
E E V M P I L T W Q O N
Z A F Q O E C F R O N V
E S S U B T R A C T G O
W E N C V E R T I C A L
J O D N P L A C E O U K
Page 4 Protymera
