Counting Corner

IB Applications & Interpretations SL: Objectives: understand hypothesis testing, state null and alternative hypothesis, identify type 1 and type 2 errors, determine use of 1-tailed or 2-tailed test Introduce hypothesis test Null vs Alternative hypothesis Types of errors Level of significance types of tests Examples Practice

IB Applications & Interpretations SL: Objective: Conduct a hypothesis test and use a p-value to make decisions Introduce χ2 test for goodness of fit, degrees of freedom Demonstrate how to calculate on graphing calculator Example Practice

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: Objectives: Use a Spearman Rank correlation coefficient, interpret the sign of a correlation Warm up Review Pearson Product-Moment Correlation Coefficient Introduce Spearman's Rank Correlation Coefficient Examples Practice

A great mathematic/logic Thanksgiving brain buster! Originally designed for an IB math class, it can be used for IB or for any high school math class looking to have a day of logic for Thanksgiving. Students use deductive reasoning and logic to unravel the mystery of a Thanksgiving dinner and all the guests! Answers included!

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: 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: Objective: Conduct a hypothesis test and use a p-value to make decisions Decision rules based on p-value Finding a p-value for a hypothesis test Finding a standardize test statistic 5 step hypothesis test for a mean Examples Practice

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

IB Applications & Interpretations SL: Introduce the power rule Examples Practice problems (CW or HW)

IB Applications & Interpretations SL: Calculate definite integrals using GDC graphing calculators Practice problems (CW or HW)

IB Applications & Interpretations SL: Investigation comparing similar functions with differing constants Calculating c when given a coordinate point ordered pair Practice problems (CW or HW)