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CURRICULUM Pacing Guide: Sixth Grade, Instructional Block 5, Page A Recommended Time Frame: 12 days Start Date: Jan. 3 Estimated End Date: Jan. 19 Actual End Date: INSTRUCTION Expressions and Equations EXPRESSIONS AND EQUATIONS APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF ARITHMETIC TO ALGEBRAIC EXPRESSIONS 1. Write and evaluate numerical expressions involving whole-number exponents. 2. Write, read, and evaluate expressions in which letters stand for numbers. 2a. Write expressions that record operations with numbers and with letters standing for numbers 2b. Identify parts of an expression using mathematical terms (sum term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity 2c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order where there are no parentheses to specify a particular order (Order of Operations) 3. Apply the properties of operations to generate equivalent expressions. 4. Identify when two expressions are equivalent MX Unit 5: Lessons 1-9 Big Idea(s): Writing, Interpreting and Analyzing Expression; Equivalent Expressions During Instruction/Tier 2: L1 Expressions and Order of Operations Essential Tracker 5 L2 Expressions with Exponents L3 Interpreting and Analyzing Expressions MX Ongoing /Formative Assessment Ideas within Teachers Edition L4 Modeling and Simplifying Expressions L5 Expressions for Area and Surface Area REASON ABOUT AND SOLVE ONE-VARIABLE EQUATIONS AND INEQUALITIES L6 Equivalent Expressions 6. Use variables to represent numbers and write expressions when solving realworld or mathematical problems; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. L7 The Commutative and Associative Properties REPRESENT AND ANALYZE QUANTITATIVE RELATIONSHIPS BETWEEN DEPENDENT AND INDEPENDENT VARIABLES 9. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable using graphs, tables, and relate these to the equation. ASSESSMENT Before Instruction: Instruction Growth Assessment 3 (Pre) MX Unit 5 Test Form A L8 The Distributive Property L9 Practice with Expressions Quick Quiz 1 (after Lesson 5) Quick Quiz 2 (after Lesson 9) Pacing Guide: Sixth Grade, Instructional Block 5, Page B Recommended Time Frame: 12 days Start Date: Jan. 20 Estimated End Date: Feb.3 Actual End Date: CURRICULUM INSTRUCTION EXPRESSIONS AND EQUATIONS MX Unit 5: Lessons 10-18 APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF Big Ideas: Representing and ARITHMETIC TO ALGEBRAIC EXPRESSIONS Describing Quantitative Relationships; 2. Write, read, and evaluate expressions in which letters stand for numbers. Solving Equations and Inequalities 2a. Write expressions that record operations with numbers and with letters standing for numbers 3. Apply the properties of operations to generate equivalent expressions. REASON ABOUT AND SOLVE ONE-VARIABLE EQUATIONS AND INEQUALITIES 5. Understand solving an equation or inequality as a process of answering a question; which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 6. Use variables to represent numbers and write expressions when solving realworld or mathematical problems; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. 7. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative numbers. 8. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. REPRESENT AND ANALYZE QUANTITATIVE RELATIONSHIPS BETWEEN DEPENDENT AND INDEPENDENT VARIABLES 9. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable using graphs, tables, and relate these to the equation. ASSESSMENT Quick Quiz 3 (after Lesson 13) Quick Quiz 4 (after Lesson 17) Performance Tasks L10 Relating Two Quantities L11 Motion at a Constant Speed L12 Relating Equations, Tables and Graphs After Instruction: MX Unit 5 Test (Form B) L13 Writing Equations L14 Inequalities L15 Solutions of Equations and Inequalities L16 Addition and Subtraction Equations L17 Multiplication and Division Equations L18 Focus on Mathematical Practices Next Steps/Re-teaching/Data Analysis (for student learning and instructional reflection):