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

This summer work packet is a review of topics designed for students that will be entering into AP Calculus AB. Topics include: - Simplify rational expressions - Complete identities - Simplify rational & trigonometric expressions with operations - Rewrite equations - Function operations using sets of ordered pairs, radical functions, and polynomials - Evaluate expressions - Sigma notation - Simplify logs, exponents, radicals, rational expressions - Evaluate trigonometric expressions without a c

This summer work packet is a review of topics designed for students that will be entering into Calculus. Topics include: - Simplify rational expressions - Complete identities - Simplify rational & trigonometric expressions with operations - Rewrite equations - Function operations using sets of ordered pairs, radical functions, and polynomials - Evaluate expressions - Sigma notation - Simplify logs, exponents, radicals, rational expressions - Evaluate trigonometric expressions without a calcul

IB Applications & Interpretations SL: End-of-unit performance task discovering archimedes' method for calculating area between a parabola and line (linear-quadratic system)

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: 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 12.3, part 2

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

IB Applications & Interpretations SL: Assessment (Exam Style Questions) for Guided Notes - Lessons 12.1-12.3

IB Applications & Interpretations SL: Assessment for Guided Notes - Lessons 12.1-12.3

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 & Interpretation SL: End-of-unit performance task for optimizing time to return to basecamp across a river.

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 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: 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: 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)