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Deer Creek Curriculum Map Template 2013 Unit of Study Month Core Standard November-January Operations and Algebraic Thinking 5.OA .1.2. 3 Content: 5.OA.1 A. Variables and Expressions Numerical and Algebraic Expressions Patterns and Expressions More Patterns and Expressions Distributive Property Order of Operations 5.OA.2 B. Solving and Writing Equations and Inequalities Solving Addition and Subtractions Equations Solving Multiplication and Division Equations Inequalities and the Number Line Patterns and Equations Grade Learning Goals/I Can Statement Content Area Concepts/Content Vocabulary Write and interpret numerical expressions. 1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Algebraic expression, variable, Distributive Property, order of operations Essential Questions How can you use information organized on a grid to help find a pattern? How can you translate words into Addition Property expressions? How of Equality, can you use algebraic Subtraction expressions to Property of describe Equality, inverse relationships? operation, How can you use equation, Distributive Property Multiplication to write two equal Property of Equality, Division expressions? Property of How can you evaluate Equality, a numerical inequality, expression with more solution of an than one operation? inequality How can I use addition and subtractions to solve an equation? How can an equation be solved using multiplication and division? 5.OA.3 C. Equations and Graphs Understanding integers Ordered Pairs Distances on Number Lines and the Coordinate Planes Graphing Equation Big Ideas/Enduring Understanding Variables and Expressions Patterns and Expressions Distributive Property Order of Operations Solving and Writing Equations and Inequalities Analyze patterns and relationships. 3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Integers, coordinate grid, coordinate plane, x-axis, y-axis, origin, ordered pair, xcoordinate, ycoordinate, linear equation, Table of values How do you graph an inequality on a number line? How can you write a rule for a pattern to complete a table? How do you draw a picture and write an equation to solve a problem? What are integers and what situations can integers represent? How can you describe the location of a point on a coordinate plane? How can you find the distance between integers on the number line? How can you graph an equation on a coordinate grid? How can you work backwards to solve a problem? Possible Learning Activities 1. Compass Math/Study Island applications if available 2. Use order of operation acronyms 3. Use boxes, letters, etc. for variables 4. Hands On Equations, balance scale example 5. Use “Magic Number Box” and create input/output cards for Equations and Graphs Unit Proficiency Scale Score 4.0 In addition to score 3.0 performance, the student demonstrates in-depth inferences and applications that go beyond what was taught. Score 3.5 In addition to score 3.0 performance, partial success at score 4.0 content Score 3.0 The student will: • Write linguistically-expressed calculations using symbols (for example, expressing “add eight and seven, then multiply by two” as 2 × (8 + 7) (5.OA.A.2) • Interpret numerical expressions without evaluating them (for example, 3 × (183 + 921) is three times as large as 183 + 921) (5.OA.A.2) Score 2.5 No major errors or omissions regarding score 2.0 content, and partial success at score 3.0 content Score 2.0 The student will recognize or recall specific vocabulary, such as: • Brace, bracket, calculation, evaluate, express, expression, linguistic, numerical, parentheses, symbol The student will perform basic processes, such as: • Evaluate expressions with parentheses, students to determine pattern being developed. 6. Function machine and Arrays for problem solving Possible Assessments 1. Daily Homework 2. Expressions Quick Quiz 3. Expressions Unit Tests brackets, or braces (5.OA.A.1) Score 1.5 Partial success at score 2.0 content, and major errors or omissions regarding score 3.0 content Score 1.0 With help, partial success at score 2.0 content and score 3.0 content Score 0.5 With help, partial success at score 2.0 content but not at score 3.0 content Score 0.0 Even with help, no success