Blake Grade 4
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1) The document discusses standards and instructional focus areas for Grade 4 mathematics, including multi-digit multiplication and division, fractions, and geometric shapes. 2) It provides examples of case studies to solve, including arranging fractions in order and word problems involving fractions of amounts. 3) Theories of learning and representation discussed include Bruner's CPA approach and Skemp's classifications of understanding in mathematics.
Blake Grade 4
- 1. BLAKEINSTITUTE2015 | Grade 4 Institute on THURSDAY In Buddhist Thailand, Thursday is considered the "Teacher's Day", and it is believed that one should begin one's education on this auspicious day. Graduation day in Thai universities, which can vary depending on each university, almost always will be held on a Thursday. banhar.yeap@pathlight.org.sg | www.banhar.blogspot.com Standards and Differentiation In Grade 4, instructional time should focus on three critical areas: (1) developing understanding and fluency with multi-digit multiplication, and developing understanding of dividing to find quotients involving multi-digit dividends; (2) developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers; (3) understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry. Source | Common Core State Standards Case Study A | Grace arranged 2 1 , 3 2 , 4 1 in order, from the greatest to the smallest. Is she correct? Method 1 Method 2
- 2. Basic Lesson Format Anchor Task – Explore, Structure, Journal, Reflect Guided Practice Independent Practice Bruner’s idea on representation (CPA Approach) classifies representations as enactive, iconic or symbolic. Students use concrete experiences and pictorial representations to understand abstract ideas. Skemp classified understandings in mathematics into three types – instrumental, relational and conventional understanding. Journal Journal June 2015 Title Problem __________________________________________________________________
- 3. Visualization – Equivalent Fractions, Mixed Numbers, Improper Fractions Visualization is the ability to see with your mind what your eyes cannot see. Case Study B | Case Study C |
- 4. Case Study D | Ben cut each of 3 same-sized cakes into 6 equal pieces. Cheryl took 7 pieces. David took 9 pieces. Ben took the rest Does this make sense? Case Study E | 3 1 3
- 5. Case Study F| 3 2 12 Building Upon Prior Understanding Case Study G | Learning Outcome To multiply multi-digit numbers with a 1-digit number Anchor Task x= where all the five digits are different. Given 15 x 4 = 60, find 215 x 4 and such. digit tiles Assessment Runway Indicator if they are able to multiply small numbers Target Indicator if they are able to use associative property to relate 15 x 4 = 60 and 215 x 4 and multiply two-digit number by one-digit numbers Observation Support … … … … … … … … … … Challenge
- 6. Bar Model
- 7. Gary spent 5 1 of his savings on a gift and 8 3 of the remainder on a book. As a result, he had $60 left. How much was the gift? Gary spent 5 1 of his savings on a gift and 4 3 of the remainder on a book. As a result, he had $60 left. How much was the gift? Gary spent 5 1 of his savings on a gift and 7 3 of the remainder on a book. As a result, he had $60 left. How much was the gift?
- 8. Key Theories 1. Piaget 2. Bruner 3. Dienes 4. Vygotsky 5. Skemp Challenging Advanced Learners 1. Solve Using Another Method (Polya) 2. Write a Note to a Friend (21st Century Competencies) 3. Make Up Another Problem (Silver) Traits of Advanced Learners 1. Real-World Model 2. Visual Model 3. Oral Explanation 4. Written Explanation 5. Initiative