1. Make sense of problems and persevere in 14. the derivative Formulate a mathematical model of a Calculus: Concepts & Contexts solving them. as a rate of change to real world problem relating the given and Section 4.1 2. Reason abstractly and quantitatively. interpret real world unknown rates of change. 3. Construct viable arguments and critique the problems. Differentiate both sides of an equation District constructed materials reasoning of others. implicitly with respect to time. 4. Model with math. Interpret a solution by translating the 5. Use appropriate tools strategically. mathematical result in context. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. 1. Make of problems and persevere in 15. Connect and relate Find general antiderivatives and Calculus: Concepts & Contexts solving them. the antiderivative to the determine if every function has a unique Section 4.9 2. Reason abstractly and quantitatively. derivative. antiderivative. 3. Construct viable arguments and critique the District constructed materials reasoning of others. 4. Model with math. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Recommended Unit Sequencing and Pacing Guide Timeframe Topics Limits & Derivatives Q3 The Tangent & Velocity Problems (2.1) The Limit of a Function (2.2) Continuity (2.4) Limits Involving Infinity (2.5) Tangents, Velocity and Other Rates of Change (2.6) Derivatives (2.7) The Derivative As A Function (2.8) What Does f Say About f? (2.9) ′
14. the derivative as a rate of change to interpret real world problems. Formulate a mathematical model of a real world problem relating the given and unknown rates of change. Differentiate both sides of an equation implicitly with respect to time. Interpret a solution by translating the mathematical result in context. Calculus: Concepts & Contexts Section 4.1 District constructed materials 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with math. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. 15. Connect and relate the antiderivative to the derivative. Find general antiderivatives and determine if every function has a unique antiderivative. Calculus: Concepts & Contexts Section 4.9 District constructed materials 1. Make of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with math. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Recommended Unit Sequencing and Pacing Guide Timeframe Topics Q3 Limits & Derivatives The Tangent & Velocity Problems (2.1) The Limit of a Function (2.2) Continuity (2.4) Limits Involving Infinity (2.5) Tangents, Velocity and Other Rates of Change (2.6) Derivatives (2.7) The Derivative As A Function (2.8) What Does f ′ Say About f? (2.9)