Counting Corner

Introduce Interquartile Range (IQR) Introduce variability Comparing data sets using IQR Practice problems

Objective: I can identify and interpret extrema and end behavior of functions represented as tables and graphs. - Warm up finding points given a certain symmetry - Vocab: extrema, maximum, minimum, relative maximum, relative minimum - Finding extrema on graphs, and tables - Examples

Objective: I can write polynomial equations and solve them by graphing a related function or system of equations - Warm up: Name the x-intercepts of graphs - Two methods for solving polynomial equations by graphing - Method 1) Graph a related function - Method 2) Graph a system of equations - Example using both methods - Application problem: determining volume of a penguin exhibit - Exit ticket

Objective: I can write, graph, and interpret piecewise-defined functions, including step functions and absolute value functions. - Warm up finding greatest integers and absolute values - Vocab: piecewise-defined function - How to make a piecewise-defined function, notation, and what the graph can look like - Example graphing and analyzing key features (domain, range, intercepts, increasing/decreasing, positive/negative) - Application example

Objective: Students will be able to calculate conditional probability from events with and without replacement Do Now warm up Vocabulary: independent events, dependent events Discussion Interactive activity Card deck probability ABCs probability

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 write, graph, and interpret piecewise-defined functions, including step functions and absolute value functions. - Warm up graphing a piecewise-defined function, and finding greatest integers - Vocab: step function, greatest integer function - What is a step function, graph, domain and range - Application example - What is the greatest integer function, notation, and graph - Example

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: Teacher Guide for Guided Notes - Lesson 7.1

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

Objective: I can identify and graph transformations of functions - Warm up translating a coordinate point - Transformations of linear, absolute value and quadratic functions using the format y=a*f(x-h)+k - Example transforming absolute value function - Application example of a dolphin’s jump - Example writing an equation from a graph - Exit Ticket

Objective: I can write, graph, and interpret piecewise-defined functions, including step functions and absolute value functions. - Warm up determining various points’ distance from zero - Vocab: absolute value function, parent function - What is an absolute value function, how is it piecewise, notation, graph, domain & range - What is a parent function + examples - Example making a table & graphing - Example with a negative coefficient before the absolute value - Exit ticket

Objective: I can use graphs and tables to determine the linearity, intercepts, and symmetry of functions and interpret those key features in context. - Warm up finding intercepts from equations - Vocab: line symmetry, point symmetry, even functions, odd functions - Line symmetry vs point symmetry from a graph - Examples - Even functions vs odd functions - Examples - Exit Ticket

Objective: I can use graphs and tables to determine the linearity, intercepts, and symmetry of functions and interpret those key features in context. - Warm up determining linearity of functions - Vocab: intercept - How to find x-intercepts and y-intercepts - Examples

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