Math at Work 12
Integrated Unit - Logical Games and Puzzles
Note: It is intended that this outcome not be taught in isolation but that it be integrated throughout the course.
Note: It is intended that this outcome not be taught in isolation but that it be integrated throughout the course.
Math at Work 12 Pacing Guide - This pacing guide replaces the previous yearly plan. It has been updated to reflect removed outcomes and provide flexibility for responsive instruction.
Math at Work 10 - 12 and related Math 7 - 9 Outcomes *Updated May 2024*
Math at Work 12 Desmos Activity Collection - A collection of online student Desmos activities organized by unit.
N01 - It is not enough for students to only do the puzzle or play the game. They must be given a variety of opportunities to analyze the puzzles they solve and the games they play. The goal is to develop their problem-solving abilities by using a variety of strategies and to be able to apply these skills to other contexts in mathematics.
N01 - The emphasis of this outcome should not be on the successful completion of any puzzle or game but rather on analyzing logical reasoning and problem-solving strategies
N01 Students will be expected to analyze puzzles and games that involve logical reasoning, using problem-solving strategies. [C, CN, PS, R]
(It is intended that this outcome be integrated throughout the course by using puzzles and games such as Sudoku, Mastermind, Nim, and logic puzzles.)
N01.01 Determine, explain, and verify a strategy to solve a puzzle or to win a game; for example,
guess and check
look for a pattern
make a systematic list
draw or model
eliminate possibilities
simplify the original problem
work backwards
develop alternative approaches
N01.02 Identify and correct errors in a solution to a puzzle or in a strategy for winning a game.
N01.03 Create a variation on a puzzle or a game, and describe a strategy for solving the puzzle or winning the game.
Additional Resources and Activities for N01 (logical games and puzzles):
Note: It is intended that this outcome be integrated throughout the course by using puzzles and games such as Sudoku, Mastermind, Nim, and logic puzzles.
Logical Games Desmos Activities
Skyscrapers Puzzles Desmos Activity - Students arrange buildings in a square grid.
Tents and Trees Puzzles Desmos Activity - Place tents on a grid, each one next to a tree. Numbers around the edge of the grid tell you how many tents appear in each row and column. A tent can only be found horizontally or vertically adjacent to a tree, and tents are never adjacent to each other, neither vertically, horizontally, nor diagonally. You can find a pdf handout of this puzzle at Sarah Carter's blog.
SET Desmos Activity - If students have never played SET before, this activity will help them learn how.
Wolves and Sheep Puzzle Desmos Activity - Place 5 wolves and 3 sheep on a 5x5 grid so that all the sheep are safe.
Daily Set Puzzle. The game SET involves players finding a "set" of three cards. Players must consider the attributes: number, color, shape and shading. In a set, the attributes for the three cards are considered individually and must be either all the same or all different.
Panda Squares - Arrange all the 16 tiles into a 4 x 4 square so that the colors match along the edges of the tiles. Panda square puzzle instructions and puzzle squares to print (print 16 to a page for a smaller individual sized set).
Pennies and Paperclip - Pennies and Paperclips is a two-player game played on a 4 by 4 checkerboard with a standard color pattern. One player, "Penny", gets two pennies as her pieces. The other player, "Clip", gets a pile of paperclips as his pieces. Penny places her two pennies on any two different squares on the board. Once the pennies are placed, Clip attempts to cover the remainder of the board with paperclips — with each paperclip being required to cover two adjacent squares. Paperclips are not allowed to overlap. If the remainder of the board can be covered with paperclips then Clip is declared the winner. If the remainder of the board cannot be covered with paperclips then Penny is the winner.
Nim and Drips - These games are Nim and its variations. Drips is a tablet and phone friendly version of Nim that helps you discover the winning strategy. You can play Nim with heaps of pennies or tooth picks. A Nim handout and a Mimio *.ink file. Another version of Nim "Circle of Pennies" but using counters in a circle.
Hex and Bridg-It - These are similar "connection" games. In Hex, players take turns claiming a single hexagon within the overall playing board (often an 11 x 11 hexagonal grid in the shape of a rhombus). The goal for each player is to form a connected path linking the opposing sides of the board marked by their colors, before their opponent connects his or her sides in a similar fashion. The first player to complete his or her connection wins the game. In Bridg-It, players attempt to make a continuous connected path of bridges from one side of the board to the opposite side while blocking their opponent from doing the same. A Hex handout and a Bridg-It handout.
Sudoku Printables - Here are thousands of free Sudoku puzzles to print. Each booklet of printable Sudoku contains eight puzzles, instructions, hints and answers.
Bridges (Hashiwokakero) Puzzles - Here are hundreds of free Bridges puzzles suitable for printing. In these puzzles, you connect the islands to form a network so that you can reach any island from any other island. The number on each island indicates the number of outgoing bridges. You may only connect islands horizontally or vertically, and you may use one or two bridges to connect islands, but no more than two. Each Bridge puzzle has only one unique solution, which you can find without guessing.
Logic Puzzles - A large collection of logic puzzles for play, both online and the old fashioned way with pencil and paper. The kind of puzzles here are most commonly referred to as "logic grid" puzzles. In each puzzle you are given a series of categories, and an equal number of options within each category. Each option is used once and only once. Your goal is to figure out which options are linked together based on a series of given clues. Each puzzle has only one unique solution, and each can be solved using simple logical processes (i.e. educated guesses are not required). More area available at Puzzlers Paradise .
Logic Mazes - A variety of mazes that can be solved using logic.
Dots and Boxes - To make one side of a box, click on any two dots next to each other (vertically or horizontally). If you complete a square it is yours, and you get a free turn.
Four in a Line - Called "Connect 4" by Hasbro. Play against computer or another human.
Tic-Tac-Toe - Play Tic-Tac-Toe against another player or the computer. Different board sizes and computer strength.
Towers of Hanoi - The object of the game is to move all the disks over to Tower 3 (drag and drop). But you cannot place a larger disk onto a smaller disk.
Mancala - Mancala is a logic game that develops critical thinking skills. You and a partner take turns moving gems according to a set of rules, trying to collecting as many gems as you can.
Two Not Touch Puzzles - Also known as Star Battle Puzzles. In these puzzles, each row, column and bolded region must contain the same number of stars (1 to 3 stars, depending on the puzzle variety). Stars may not reside in adjacent cells (not even diagonally). Also available online or as a free app.
Suguru Puzzles - You'll see that the grid is subdivided into containers or cages, each of which is 1 to 5 cells in size. You need to fill each container with unique digits, counting up from 1. So for example a 2-square container contains the numbers 1 and 2. A 5-square container contains the numbers from 1 to 5. Adjacent (touching) cells may never contain the same number, and this includes diagonally adjacent cells. That's it! Also available online.