Counting Corner

Performance Task designed to be used as a final exam for IB Applications & Interpretations, but can be used for any high school math class looking for a fun research that takes a couple class periods. Students explore the Towers of Hanoi and the sequence created by the solving pattern.

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

A great resource for International Baccalaureate mathematics! Although it can be used for non-IB classes, as well. I have used it for a midterm, but it can be used for an end-of-unit assessment, as well. This research project/performance task is designed to explore Pascal's triangle, its history, relationship with Sierpinski's triangle, and how it is used in the field of mathematics. Grading rubric included.

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

IB Applications & Interpretations SL: Teacher Guide for Guided Notes - Lesson 8.2

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: Assessment answer key for Guided Notes - Lessons 12.1-12.3

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: 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: Assessment answer key for Guided Notes - Lessons 5.1-5.3

IB Applications & Interpretations SL: Teacher Guide for Guided Notes - Lesson 8.4

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