
Algebra


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Anno's Magic Seeds Author: Mitsumasa Anno Illustrator: Mitsumasa Anno Publisher: PaperStar Books, Penguin Putnam Inc. Copyright: 1995 ISBN: 0698116186 Number of Pages: 34 Ohio Standards Alignment: Grades 2–7
Jack receives two beans from a wizard, eats one, and plants the other. A year later, a plant grows bearing two seeds. Over time, Jack decides to plant both seeds, and the reader sees a pattern begin to emerge. However, the situation becomes more complicated when Jack decides to plant some seeds, store some seeds, sell some, and eat some. Carefully detailed illustrations make the increasingly complex scenario understandable, though still challenging. Eventually the seeds make Jack wealthy, until a hurricane wipes away all of his plants. Fortunately, his wife has saved ten seeds and they can begin the process again.
Go to: How to Use This Book Highlights and Insights Related ORC Resources Ohio Standards


How to Use This Book

 Teachers may want to read the book to the class, discussing questions asked in the text as they go along or at the conclusion.
 Teachers may pose problems for partners or individuals to work on. They may simplify or complicate the problems based on the children's current mathematical development.
 Teachers may have children create similar problems using different contexts. Discussion would center on whether or not the same method can be used if the problem is about seeds or about some other form of growth, such as money earning a certain percent interest and either withdrawn or reinvested, or messages forwarded to 10 people on the Internet.


Highlights and Insights

 Aside from the fact that there are some powerful economic lessons here, the book provides rich opportunities to develop a variety of mathematical concepts (patterns, recording data in a table, and the use of symbols to solve a problem).
 Children at a wide range of ages can benefit from this book. Younger children can solve problems with small numbers using manipulatives, tally marks, etc. Older children can investigate the more complex data to determine how many seeds are planted each year.
 Recognizing that all kinds of patterns exist in mathematics is key to mathematical understanding. Working toward finding and using patterns helps young children see that mathematics is not just a set of rules to be memorized. Older children who work with problems similar to those in the book will gain a foundation for using functions rather than doggedly struggling with individual computations.


Related ORC Resources

Creating, Describing, and Analyzing Patterns 4: Repeating and Growing Patterns Resource Type: Lessons Discipline: Mathematics Grades: Grades K–2 Professional Commentary: Patterns are a way for young students to recognize order and are important in all aspects of mathematics. Help students form generalizations by asking questions such as "How could you describe this pattern?" or "How are these patterns alike?" The "Growing Patterns" activity sheet guides students to analyze and describe how growing patterns are generated, encourages... Resource Type: Lessons Discipline: Mathematics Grades: Grades 2–4 Professional Commentary: Students measure, record, and graph plant growth and interpret data. Students plant seeds and, once the seeds sprout, record the height of the plants for several days.... The Beat of Your Heart: What's the Beat? Resource Type: Lessons Discipline: Mathematics Grades: Grade 6 Professional Commentary: Students use the average adult's number of heartbeats per minute to predict how many times the heart beats during various lengths of time. Many of the problems can be worked in more than one way.... Creating, Describing, and Analyzing Patterns to Recognize Relationships and Make Predictions: Making Patterns Resource Type: Content Supports Discipline: Mathematics Grades: Grades 1–5 Professional Commentary: This threepart online activity highlights different aspects of students' understanding of patterns as they analyze repeating and growing patterns and make predictions. The first part, Making Patterns, includes an interactive applet for creating, comparing, and predicting multiple repetitions of colored squares (Note: This applet took nearly a minute to load on a highspeed connection)....


Ohio Standards

Patterns, Functions and Algebra StandardBenchmarks (K2) C. Create and extend patterns, and describe the rule in words. Benchmarks (34) A. Analyze and extend patterns, and describe the rule in words. B. Use patterns to make predictions, identify relationships, and solve problems. Benchmarks (57) B. Represent, analyze and generalize a variety of patterns and functions with tables, graphs, words and symbolic rules. Grade Level Indicators (2) 2. Use patterns to make generalizations and predictions; e.g., determine a missing element in a pattern. 3. Create new patterns with consistent rules or plans, and describe the rule or general plan of existing patterns. Grade Level Indicators (3) 1. Extend multiplicative and growing patterns, and describe the pattern or rule in words. 2. Analyze and replicate arithmetic sequences with and without a calculator. 4. Model problem situations using objects, pictures, tables, numbers, letters and other symbols. Grade Level Indicators (4) 2. Represent and analyze patterns and functions using words, tables and graphs. Grade Level Indicators (5) 5. Model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions and make predictions. Grade Level Indicators (6) 2. Use words and symbols to describe numerical and geometric patterns, rules and functions. Grade Level Indicators (7) 1. Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable expressions. Data Analysis and Probability StandardBenchmarks (K2) B. Sort and classify objects by attributes, and organize data into categories in a simple table or chart. Benchmarks (34) C. Construct charts, tables and graphs to represent data, including picture graphs, bar graphs, line graphs, line plots and Venn diagrams. Grade Level Indicators (2) 1. Pose questions, use observations, interviews and surveys to collect data, and organize data in charts, picture graphs and bar graphs. Grade Level Indicators (3) 1. Collect and organize data from an experiment, such as recording and classifying observations or measurements, in response to a question posed. Grade Level Indicators (4) 2. Represent and interpret data using tables, bar graphs, line plots and line graphs. Grade Level Indicators (5) 1. Read, construct and interpret frequency tables, circle graphs and line graphs. Grade Level Indicators (6) 6. Make logical inferences from statistical data. 

