Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
Linear Inequalities Practice &
Problem-Solving Activities
Solving, Graphing, and Reasoning with Linear Inequalities
SECONDARY MATHEMATICS GRADES 7-9
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core inequality vocabulary, including inequality, solution,
boundary, and interval.
▸ Explain how strict inequalities, non-strict inequalities, and equivalent inequalities relate
to one another.
▸ Define vocabulary related to interval notation and number-line graphing, including
bracket, parenthesis, open, and closed.
▸ Classify a linear inequality by the solving technique it requires, including whether the
inequality symbol must be reversed.
▸ Use elimination reasoning to determine which inequality matches which solution from
indirect clues.
▸ Recognize and extend a pattern of boundary values generated by a one-step inequality,
and correctly sequence the steps for solving a compound inequality.
▸ Apply the reversal rule correctly when multiplying or dividing both sides of an inequality
by a negative number.
▸ Represent the solution of an inequality using interval notation and a number-line graph.
▸ Solve linear inequalities in one variable to evaluate boundary values and reveal a hidden
word.
▸ Apply inequality reasoning to real-world constraint and requirement situations.
Page 2 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
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 Challenge Section with twelve
tiered challenges, and a Player Progress Tracker at the end. Every puzzle also includes
its own Concept Check with three questions. 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.
CHALLENGE SECTION - Transfer: Complete twelve tiered challenges of
8
increasing depth.
Page 3 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
INEQUALITY VOCABULARY UNLOCK - PUZZLE 1
OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of inequalities - boundary,
interval, compound, 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 A C W B S B M H F Y J H
N W X H S E F W R T G N V
O L D Q A H L M I R P M L
I F Q Z E K V L A S T U D
T D T U V H A P O H N N Q
C A N O I U H L G V I B B
E K D U Q K U S Y A A O O
R P W E O T X X O R R U U
I Y N X I P L P D I T N N
D I D O W F M Q Q A S D D
P O N I P R T O V B N E A
B M Y U A R K I C L O D R
L A V R E T N I P E C L Y
Page 4 Protymera
Linear Inequalities Practice &
Problem-Solving Activities
Solving, Graphing, and Reasoning with Linear Inequalities
SECONDARY MATHEMATICS GRADES 7-9
Page 1 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
WHAT YOU WILL LEARN
▸ Recognize and define core inequality vocabulary, including inequality, solution,
boundary, and interval.
▸ Explain how strict inequalities, non-strict inequalities, and equivalent inequalities relate
to one another.
▸ Define vocabulary related to interval notation and number-line graphing, including
bracket, parenthesis, open, and closed.
▸ Classify a linear inequality by the solving technique it requires, including whether the
inequality symbol must be reversed.
▸ Use elimination reasoning to determine which inequality matches which solution from
indirect clues.
▸ Recognize and extend a pattern of boundary values generated by a one-step inequality,
and correctly sequence the steps for solving a compound inequality.
▸ Apply the reversal rule correctly when multiplying or dividing both sides of an inequality
by a negative number.
▸ Represent the solution of an inequality using interval notation and a number-line graph.
▸ Solve linear inequalities in one variable to evaluate boundary values and reveal a hidden
word.
▸ Apply inequality reasoning to real-world constraint and requirement situations.
Page 2 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
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 Challenge Section with twelve
tiered challenges, and a Player Progress Tracker at the end. Every puzzle also includes
its own Concept Check with three questions. 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.
CHALLENGE SECTION - Transfer: Complete twelve tiered challenges of
8
increasing depth.
Page 3 Protymera
, Grid Learning System (GLS) - Puzzle Based Mathematical Reasoning
INEQUALITY VOCABULARY UNLOCK - PUZZLE 1
OF 7: WORD SEARCH
Puzzle Focus: This warm-up reinforces the core vocabulary of inequalities - boundary,
interval, compound, 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 A C W B S B M H F Y J H
N W X H S E F W R T G N V
O L D Q A H L M I R P M L
I F Q Z E K V L A S T U D
T D T U V H A P O H N N Q
C A N O I U H L G V I B B
E K D U Q K U S Y A A O O
R P W E O T X X O R R U U
I Y N X I P L P D I T N N
D I D O W F M Q Q A S D D
P O N I P R T O V B N E A
B M Y U A R K I C L O D R
L A V R E T N I P E C L Y
Page 4 Protymera
