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Understanding by Design Unit Template WEST SHORE SCHOOL DISTRICT Math Learning Module 5 Title of Module Module 5: Addition and Multiplication with Grade Level 5th Grade Volume and Area Curriculum Area Math Time Frame enVision Math Topic 10, Topic 15 (MP 3) Best Practices MP# 1. Make sense of problems and persevere in solving them MP# 2. Reason abstractly and quantitatively MP# 4. Model with mathematics MP# 3. Construct viable arguments and critique the reasoning of others MP# 5. Use appropriate tools strategically MP# 6. Attend to precision MP# 7. Look for and make use of structure (Deductive Reasoning) MP# 8. Look for and express regularity in repeated reasoning Transfer Goals 1. Interpret and persevere in solving complex mathematical problems using strategic thinking and expressing answers with a degree of precision appropriate for the problem context. 2. Express appropriate mathematical reasoning by constructing viable arguments, critiquing the reasoning of others, and attending to precision when making mathematical statements. 3. Apply mathematical knowledge to analyze and model mathematical relationships in the context of a situation in order to make decisions, draw conclusions, and solve problems. Key Learnings/Big Ideas Through the daily use of area models, the fraction module prepares students for an in-depth discussion of area and volume in Module 5. But the module on area and volume also reinforces work done in the fraction module: Now, questions about how the area changes when a rectangle is scaled by a whole or fractional scale factor may be asked. Measuring volume once again highlights the unit theme, as a unit cube is chosen to represent a volume unit and used to measure the volume of simple shapes composed out of rectangular prisms. Content Standards CC.2.3.5.A.2 - Classify two-dimensional figures into categories based on an understanding of their properties. Essential Questions Vocabulary Unit EQ: Acute triangle How do I use addition and multiplication with volume Associative Property of Multiplication and area? Attribute LEQ: Base of a solid figure How do you classify two-dimensional figures based Congruent on properties? Cubic unit How do you use a formula to help you find the area Decagon or unknown side length of a rectangle with fractional Decagonal prism side lengths? Equilateral triangle How do you use a formula to help you find the Formula volume of a rectangular prism? Isosceles triangle Hierarchy Heptagon Hexagon Hexagonal prism Lateral face Measurement Systems Measurement Unit Nonagon Obtuse triangle Octagon Octagonal prism Parallel lines Parallelogram Pentagon Pentagonal prism Pentagonal pyramid Perpendicular lines Polygon Polyhedron Prism Pyramid Quadrilateral Rectangle Regular polygon Rhombus Right rectangular prism Right triangle Scalene triangle Solid figure Three-dimensional figures Trapezoid Two-dimensional figures Unit cube Volume Concepts Skills/Competencies (I Can…) Based on LEQs Students will know… Students will be able to… Decimals I can demonstrate an understanding of rounding as it pertains to Place Value and Properties of Operations whole numbers and decimals. I can read, write and compare decimals. I can solve problems using simple conversions. Assessment Evidence Formative Assessment Teacher observation in whole group/flexible groups Centers Classwork Homework Ticket out the Door Quizzes Study Island assignments, etc. Summative Assessment Benchmark assessments project-based assessments Study Island assessments EnVision topic assessments Best Instructional Practices Activating Strategies Extended Thinking Summarizing Vocabulary in Context Advance Organizers Non-verbal Representation Integration of Webb’s Depth Integration of 21st Century Skills Reading and writing across disciplines Rigor and Relevance Resources Student Teacher enVision Student Book enVision Teacher Manual Topics 10 and 15 Topics 10 and 15 Study Island Study Island PA Mathematics Item Sampler PA Mathematics Item Sampler Adapted from Wiggins, Grant and J. Mc Tighe. (1998). Understanding by Design, Association for Supervision and Curriculum Development, ISBN # 0-87120-313-8 (ppk) .
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