Counting Corner

IB Applications & Interpretations SL, Unit 12 - Analyzing Rates of Change - Differential Calculus. This bundle includes 6 guided notes lessons, an assessment review, assessment, exam-style questions assessment, and an end-of-unit performance task assessment. HW is included with each lesson. Topics include: 1) Limits and Derivatives 2) Equations of Tangent and Normal 3) Maximum and Minimum Points and Optimization

IB Applications & Interpretations SL, Unit 13 - Approximating Irregular Spaces - Integration. This bundle includes 9 guided notes lessons, an assessment review, exam-style questions assessment, and an end-of-unit performance task assessment. HW is included with each lesson. Topics include: 1) Finding Areas 2) Integration - The Reverse Process of Differentiation

IB Applications & Interpretations SL: Warm up and skills check Introduce gradient of a parabola Introduce tangent line and how to find on GDC Investigation finding gradients of various polynomials Examples Practice problems (CW or HW)

IB Applications & Interpretations SL: Examples of optimization (finding minimum surface area of a product) Investigation optimizing volume with a fixed constraint (surface area) Converting a function with two independent variables into one variable and finding the stationary points Practice problems (CW or HW)

IB Applications & Interpretations SL: Example finding instantaneous rates of change and marginal costs Practice problems (CW or HW)

IB Applications & Interpretations SL: Teacher Guide for Guided Notes - Lesson 12.3, part 2

IB Applications & Interpretations SL: Teacher Guide for Guided Notes - Lesson 12.3, part 1

IB Applications & Interpretations SL: Investigation finding maximum and minimum points when gradient is 0 (stationary points) Examples Practice problems (CW or HW)

IB Applications & Interpretations SL: Teacher Guide for Guided Notes - Lesson 13.2, part 4

IB Applications & Interpretations SL: Find equations of a curve given the gradient/derivative and a point Creating a cost function Practice problems (CW or HW)

IB Applications & Interpretations SL: Finding gradients and tangents from a graph (building a funicular railway up a mountain) Investigation using tangents to find when two paths will meet Introduce normal Examples Practice problems (CW or HW)

IB Applications & Interpretations SL: Introduce integration: the reverse process of differentiation Investigation calculating area utilizing integration for various functions Introduce antiderivatives Find antiderivatives of various functions Practice problems (CW or HW)

IB Applications & Interpretations SL: Introduce numerical method utilizing a set of points Investigation using numerical method Introduce trapezoidal rule Investigation using trapezoidal rule Practice problems (CW or HW)

IB Applications & Interpretations SL: Calculate an unknown lower- or upper-bound given the curve and area of a segment using GDC graphing calculator, equation solver feature Practice problems (CW or HW)

IB Applications & Interpretations SL: Investigation - estimating area under curve by creating inner-bound vs upper-bound rectangles. Decreasing the number of rectangles to improve estimate Calculate area under curve using trapezoids, rectangles and triangles Practice problems (CW or HW)

IB Applications & Interpretations SL: Warm up estimating the area of an island, finding areas of trapezoids/circles, finding derivatives of polynomials Introduce velocity-time graphs Calculate distance traveled Practice problems (CW or HW)

IB Applications & Interpretations SL: Teacher Guide for Guided Notes - Lesson 12.1, part 1

IB Applications & Interpretations SL: Finding derivatives of rational functions on a GDC Practice problems (CW or HW)

IB Applications & Interpretations SL: Assessment Review answer key for Lessons 12.1-12.3

IB Applications & Interpretations SL: Teacher Guide for Guided Notes - Lesson 12.2, part 2