Counting Corner

IB Applications & Interpretations SL: Introduce statistical inferences, probability theory, experiment, sample point, sample space, how to find outcomes to an experiment using tree diagrams or systematic approach, introduce the fundamental counting principle with repetition and non-repetition, the three types of probability and the formula for calculating probability, rules of probability, compliment of an event, examples and practice

IB Applications & Interpretations SL: Introduce continuous random variable, continuous probability distribution, normal distribution, normal curve, finding area under a standard curve using a calculator, probability of a normal random variable, z-scores, examples, practice problems

Objective: I can change an equation from an exponential function with base e to a natural logarithmic function and vice versa and evaluate these expressions - Warm up: Evaluate logarithmic expressions using the change of base formula - Vocabulary: natural base exponential function, natural logarithm - Rewrite equations as natural logarithms and natural exponential equations - Simplify natural logarithmic expressions using the properties of logarithms - Solve exponential equations with base e usi

Objective: I can write exponential equations and inequalities and solve them algebraically or by graphing - Warm up: Solve polynomial equations - Vocabulary: exponential equation, compound interest - Solve exponential equations with similar bases - Solve exponential equations with different bases and variable expressions as the exponent - Solve exponential equations by graphing - Application problem - Compound interest - Application problem - Solve exponential inequalities - Exit ticket

Objective: I can graph exponential functions with base e and find the average rate of change - Warm up: Solve exponential equations algebraically - Vocabulary: e - Exponential functions with base e - Graph functions with base e - Find rate of change of exponential functions with base e - Continuously compounded interest, A=Per^t - Application problem - Solve exponential equations with base e using desmos - Exit ticket

Objective: I can use the properties of exponents to rewrite and simplify expressions involving radicals and rational exponents - Warm up: simplify radicals - Vocabulary: rational exponent - Converting between radical form and exponent form - Application problem: use rational exponents to calculate the formula for inflation - Evaluate expressions with rational exponents - Simplify expressions with rational exponents - Exit ticket

IB Applications & Interpretations SL: Warm up using percent, introduce annuities and formula for annuities, exploration with annuity, calculating payments for an annuity on a future amount, introduce amortization, exploration using amortization, formula for calculating payments for an amortization, examples, practice

Objective: I can use arithmetic operations to simplify operations on and compositions of functions and determine their domain and range. - Warm up: Evaluate functions - Add and subtract functions - Multiply and divide functions, restrict domain of division - Application problem: difference in populations

IB Applications & Interpretations SL: Introduce independent events vs dependent events, formulas for calculating probabilities of independent/dependent events, introduce conditional probability, examples, practice problems

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: Warm up using random selection, introduce random variable (discrete random variables vs continuous random variables), probability distributions, rules for probability distributions, constructing a probability distribution, examples, practice problems

IB Applications & Interpretations SL: Warm up writing rules for arithmetic sequence, introduce series, introduce sigma notation, introduce formula for an arithmetic series, examples, practice problems

IB Applications & Interpretations SL: Warm up using perpendicular bisectors, Introduce Voronoi Diagrams and vocab relating to them, analyze a Voronoi diagram, create a Voronoi diagram, practice

IB Applications & Interpretations SL: Warm up analyzing scatterplots, introduce correlation and Pearson Product-Moment Correlation Coefficient (r), properties of correlation, group investigation for various variables, examples, practice problems

IB Applications & Interpretations SL: Warm up using Pythagorean Theorem, 1D distance formula, 2D distance formula, 1D Midpoint formula, 2D Midpoint formula, 3-Dimensional plotting, 3D Distance formula, 3D Midpoint formula, examples, practice problems

IB Applications & Interpretations SL: Warm up converting quadratics to standard form, introduce types of projectile motion, compare features of a parabola with characteristics of projectile motion, introduce equation and values for projectile motion, solving projectile motion using a calculator, examples, practice problems

Objective: I can use a graphing calculator to find an equation that models data and use the equation to solve problems - Warm up: Create a linear regression of a set of data using desmos. Use the linear regression to make a prediction. - Vocabulary: regression function, coefficient of determination - Introduce regression functions - Introduce coefficient of determination - Use desmos to create exponential regressions - Application problem - Exit Ticket

Objective: I can graph and analyze the key features of square and cube root functions. - Warm up: Simplify radical expressions - Vocabulary: radical function, square root function, square root inequality - Square root parent function and characteristics on a graph - Transformations of square root functions - Determine domain and range of a square root function algebraically - Graph a transformed square root function - Application problem: calculating the RPM of a centrifuge compared to the squar

Objective: I can use the properties of exponents to rewrite and simplify expressions involving radicals and rational exponents. - Warm up: Find rational squares, cubes and fourth powers - Vocabulary: nth root, index, radicand, principal root, exponential form, radical -form - Simplifying nth root radicals - Using absolute value when simplifying radicals

IB Applications & Interpretations SL: Warm up using law of sines / cosines, introduce area of triangle formulas and Heron's formula, application examples and practice problems