Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
Linear Equations & Slope Detective
A Puzzle-Based Challenge in Graphing, Intercepts and Line
Relationships
SECONDARY MATHEMATICS | GRADES 7-10
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core graphing vocabulary, including linear equation, slope,
coordinate, and quadrant.
▸ Explain how slope, the x- and y-intercepts, and the graph of a linear equation are related.
▸ Define vocabulary related to equation forms and line relationships, including slope-
intercept form, standard form, point-slope form, parallel, and perpendicular.
▸ Classify a pair of linear equations by their slopes as parallel, perpendicular, or neither.
▸ Use elimination reasoning to determine which linear equation matches which slope and
y-intercept description from indirect clues.
▸ Evaluate a linear equation at successive x-values to build a table of values, and correctly
sequence the steps for converting an equation from standard form to slope-intercept form.
▸ Calculate slope from two points and evaluate linear equations to solve problems and
reveal a hidden word.
Page 2 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
HOW TO PLAY - YOUR PUZZLE JOURNEY
This resource 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.
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
GRAPHING VOCABULARY UNLOCK - PUZZLE 1
OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of graphing - coordinate,
quadrant, origin, 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.
M O V E U T P N G I I C
G R T L D I W I F R I Q
K I N A E C R X G T H R
Z G A T R O A V I O H V
F I R N E O E J Q L P E
A N D O D R N A P P A R
I E A Z R D I E R U R T
Z O U I O I L F J C G I
Y I Q R P N U S Y H Y C
N U X O V A S T I Q C A
T F O H M T H X X X L L
R H P I T E H C N Y A F
Page 4 Protymera
Linear Equations & Slope Detective
A Puzzle-Based Challenge in Graphing, Intercepts and Line
Relationships
SECONDARY MATHEMATICS | GRADES 7-10
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core graphing vocabulary, including linear equation, slope,
coordinate, and quadrant.
▸ Explain how slope, the x- and y-intercepts, and the graph of a linear equation are related.
▸ Define vocabulary related to equation forms and line relationships, including slope-
intercept form, standard form, point-slope form, parallel, and perpendicular.
▸ Classify a pair of linear equations by their slopes as parallel, perpendicular, or neither.
▸ Use elimination reasoning to determine which linear equation matches which slope and
y-intercept description from indirect clues.
▸ Evaluate a linear equation at successive x-values to build a table of values, and correctly
sequence the steps for converting an equation from standard form to slope-intercept form.
▸ Calculate slope from two points and evaluate linear equations to solve problems and
reveal a hidden word.
Page 2 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
HOW TO PLAY - YOUR PUZZLE JOURNEY
This resource 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.
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
GRAPHING VOCABULARY UNLOCK - PUZZLE 1
OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of graphing - coordinate,
quadrant, origin, 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.
M O V E U T P N G I I C
G R T L D I W I F R I Q
K I N A E C R X G T H R
Z G A T R O A V I O H V
F I R N E O E J Q L P E
A N D O D R N A P P A R
I E A Z R D I E R U R T
Z O U I O I L F J C G I
Y I Q R P N U S Y H Y C
N U X O V A S T I Q C A
T F O H M T H X X X L L
R H P I T E H C N Y A F
Page 4 Protymera
