More Math Puzzles and Patterns for Kids

Grades 2-4

Kristy Fulton

• Publisher: Routledge
• Year: 2021
• ISBN:
  9781000494723
• Edition: 1
• Topic: Bildung
• Subtopic: Bildung Allgemein

Move beyond the norm in your math classroom and challenge students to think critically with More Math Puzzles and Patterns for Kids, a new companion book to the popular Math Puzzles and Patterns for Kids. This book contains more of students' favorite puzzles and patterns, as well as a few new ones for students to explore. All of the mathematical activities in this book were chosen for their important role in mathematics' history. Like its predecessor, this book explores the hottest concepts in puzzle solving—math logic puzzles—while teaching students how to use reasoning to solve some of math's biggest conundrums: real-life patterns and puzzles such as Fibonacci's sequence, Sudoku puzzles, tangrams, Pascal's triangle, and magic squares. Students will sharpen their math skills while they learn the basic premises behind each challenging puzzle and then use the skills they have learned to solve multiple versions of each puzzle. Grades 2-4

Answer Key

Fibonacci Sequence, p. 6

• 1.) Each number is the sum of the two previous numbers.
• 2.) 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987
• 3.) Answers will vary. Some examples are: starfish (5 arms), octopus (8 tentacles), spiders (8 legs), your body (2 eyes, 2 ears, 1 nose, 5 fingers on each hand—or 8 fingers and 2 thumbs total), apple (5 sections), and most flowers have a Fibonacci number of petals.

Fibonacci Sequence, Continued, p. 7

• 1.) 2; 2; 4; 6; 10; 16; 26; 42
• 2.) 5; 5; 10; 15; 25; 40; 65; 105
• 3.) 3; 3; 6; 9; 15; 24; 39; 63
• 4.) 10; 10; 20; 30; 50; 80; 130; 210
• 5.) 8; 8; 16; 24; 40; 64; 104; 168
• 6.) 6; 6; 12; 18; 30; 48; 78; 126
• 7.) 7; 7; 14; 21; 35; 56; 91; 147
• 8.) 4; 4; 8; 12; 20; 32; 52; 84
• 9.) 9; 9; 18; 27; 45; 72; 117; 189
• 10.) 15; 15; 30; 45; 75; 120; 195; 315
• 11.) 11; 11; 22; 33; 55; 88; 143; 231
• 12.) 25; 25; 50; 75; 125; 200; 325; 525
• 13.) 100; 100; 200; 300; 500; 800; 1,300; 2,100
• 14.) 21; 21; 42; 63; 105; 168; 273; 441
• 15.) 12; 12; 24; 36; 60; 96; 156; 252

Fibonacci Sequence, Continued, p. 8

• 1.) 21; 13; 8; 5; 3; 2; 1; 1
• 2.) 42; 26; 16; 10; 6; 4; 2; 2
• 3.) 105; 65; 40; 25; 15; 10; 5; 5
• 4.) 189; 117; 72; 45; 27; 18; 9; 9
• 5.) 126; 78; 48; 30; 18; 12; 6; 6
• 6.) 2; 2; 4; 8; 32
• 7.) 8; 8; 64; 512; 32,768
• 8.) 5; 5; 25; 125; 3,125
• 9.) 4; 4; 16; 64; 1,024
• 10.) 12; 12; 144; 1,728; 248,832
• 11.) 243; 27; 9; 3; 3
• 12.) 59,049; 729; 81; 9; 9
• 13.) 16,807; 343; 49; 7; 7
• 14.) 7,776; 216; 36; 6; 6
• 15.) 161,051; 1,331; 121; 11; 11

The Golden Rectangle, p. 9

• 1–5.) Answers will vary. Some examples include: shells of snails and of marine mollusks; spiraled horns of a mountain goat; the arrangement of seeds in the heads of sunflowers and daisies; and galaxies.

Pentagon Star, ...

Table of contents

• Cover
• Title Page
• Copyright Page
• Contents
• Teacher’s Guide
• Fibonacci Sequence
• The Golden Rectangle
• Pentagon Star
• The Binary Sequence
• Patterns in Multiplication
• Pascal’s Triangle
• Magic Triangles
• Magic Hexagon
• Magic Squares
• Latin Squares
• Sudoku
• The Eight Queens Puzzle
• The Rhind Papyrus
• Kirkman’s School Girl Problem
• Tangrams
• The Loculus of Archimedes
• What Have You Learned About Math?
• Resources
• Extension Activities
• Answer Key
• About the Author