1 SPRINGBOARD TO MATH Presented by Kisrene McKenzie Math Part 1 AQ Thursday April 17, 2014 Title One Grain of Rice: A Mathematical Folktale Strands Grade Author Demi Publisher Scholastic Press Overall Expectations read, represent, compare, and order whole numbers to 1 000 000 Specific Expectations demonstrate an understanding of place value in whole numbers using a variety of tools and strategies read and print in words whole numbers to one hundred thousand represent, compare, and order numbers using a variety of tools represent, compare, and order numbers using a variety of tools describe and represent relationships in growing and shrinking patterns (where the terms are whole numbers) make tables of values for growing patterns, given pattern rules in words determine a term, given its term number, by extending growing and shrinking patterns that are generated by multiplying by a constant, to get the next term represent linear growing patterns (where the terms are whole numbers) using concrete materials, graphs, and algebraic expressions 6 Number Sense 7 6 Patterning & Algebra 7 represent linear growing patterns, using a variety of tools (e.g., make a table of values using the term number and the term) develop and represent the general term of a linear growing pattern, using algebraic expressions Kisrene McKenzie, 2 Math Concepts/ Skills: 1) students will be able to show their understanding of place value by accurately reading the total number of grains of rice for each day of the month and writing them in standard, expanded and word form 2) students will be able to make a table of values to determine the value of the 30th term (the grains of rice Rani received on day 30) and the pattern rule for the grains of rice that doubles each day, in words (grade 6) or as an algebraic expression (grade 7). Summary: The picture book One Grain of Rice: A Mathematical Folktale that tells the story of a greedy raja (king) who kept all the rice for himself during a time of famine and his people starved. A clever girl named Rani saved her people from starvation by collecting over a billion grains of rice after tricking the king into giving her one grain of rice that would double each day for 30 days. The king was left with no more rice; however Rani shared rice with the raja after he promised to take only what he needs. Rationale: I chose One Grain of Rice specifically because I am interested in teaching mathematics through an equity and social justice framework. The book brilliantly explores the themes of fairness and equality without a judgmental tone by engaging its readers visually and in words, into mathematical problem solving about doubling as told through a folktale. I plan to read this text as a starting point to for my class revisit patterning and number sense and as well to introduce them to our language unit on narrative fiction. In addition, I chose this text to remain culturally relevant to my students in celebration of Asian Heritage Month in May. Introduce the Book: I will prompt my students to use before during and after reading strategies. I will introduce the book by doing a picture walk and ask my students to make note of the patterns they see and predict what they think the book is about. I will give the students a blank sheet of paper and ask them to record the math they see and hear as I read aloud. I will pause and ask the students questions and at specific points in the text. For example when the raja says “this doubling add up to more rice that I expected!”, I will ask students to describe a math strategy they would use that demonstrates doubling (eg. multiplication, repeated addition, etc.) After reading the book I will ask students to share I then read the story to the children showing them the pictures. After reading the story to the students with the illustrations the children share their pictures and discuss the story. This generates a lot of great conversation. Linking Literacy to Numeracy Please see the attached lesson plan below. Kisrene McKenzie, 3 Math text features poses several math problems (how many grains of rice Rani received each day of the month) it highlights the big ideas of doubling, multiplication, exponents and place value you can extend the math concepts to patterning (identify the pattern rule) create a word problem involving the division of whole numbers, as well as identifying the total number of camels and elephants using arrays or multiplication it provides a visual representation of the math concept on each page by depicting Rani receiving grains of rice from animals Springboard to Math Lesson Plan - Patterning and Algebra - Grade 6/7 Curriculum Expectations Grade 6 Overall: describe and represent relationships in growing and shrinking patterns (where the terms are whole numbers) Specific: make tables of values for growing patterns, given pattern rules in words Grade 7 Overall: represent linear growing patterns (where the terms are whole numbers) using concrete materials, graphs, and algebraic expressions Specific: represent linear growing patterns, using a variety of tools Task/Problem Students must use a table of values to determine the total grains of rice Rani received for each of the 30 days Word Problem: “If a single grain of rice is doubled each day for 30 days, what is the value of each term in the pattern? Write the pattern rule in words (gr 6) or as an algebraic expression (gr7). Select the appropriate tools and strategies to solve the problem.” Part 1 Before, Minds On or Activate Prior Knowledge Remind the students about the text we read earlier, One Grain of Rice, and all the math they remember the text explored. Discuss the main problem the book posed about the total number of grains of rice Rani would earn each day for 30 days. Questions: What strategy will you use to help you solve the problem? How will you know that you have the correct amount for each day? Learning Goal: I will be able to use a table of values to determine the value of each term in the pattern I will be able to identify the pattern rule and write it in words or as an algebraic expression Student Success Criteria: I know that the table of values lists the term number, the term and the value of each term Kisrene McKenzie, 4 Are there other tools and strategies you could use besides the table of values to solve the problem? Part 2- During, Work on It or Hands On Students work in groups of 3 and solve the problem above. Questions: What strategy will you use? Part 3 – After, Consolidation, Congress, Bansho or Gallery Walk Math Congress – highlight 3 chosen pieces of work to show strategies for solving the problem Congress Questions: How did you know the value of each term is correct? What strategy did you use? How did you know the pattern rule is correct? What strategy would you use to find the total grains of rice Rani received all together? Strategies: Draw a table Use a calculator Tools: Chart Paper/ markersl Manipulatives Misconceptions: