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Master Organizing Outcomes: Probability Tree Diagrams Guide

Demonstrate understanding of linear relations

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

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Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Function notation

Parallel and perpendicular lines in linear functions

Applications of linear relations

Solve problems using sine law and cosine law

Introduction to bearings

Bearings and direction word problems

Bearings and Direction Word Problems

Angle of elevation and depression

Law of sines

Ambiguous case: SSA triangles

Law of cosines

Applications of the sine law and cosine law

Solve problems involving triangles, quadrilaterals, and regular polygons

Similar triangles

Similar polygons

Classifying triangles

Isosceles and equilateral triangles

Demonstrate understanding of transformations on 2-D shapes and 3-D objects

Line symmetry

Rotational symmetry and transformations

Enlargements and reductions with scale factors

Scale diagrams

Demonstrate understanding of limitations of measuring instruments

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Conversions involving squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

Analyze puzzles and games involving logical reasoning

Addition rule for "OR"

Addition Rule for "OR"

Multiplication rule for "AND"

Multiplication Rule for "AND"

Conditional probability

Probability involving permutations and combinations

Solve problems involving vehicle acquisition by buying, leasing, and leasing to buy

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

Finance: Future value and present value

Critique viability of small business options considering expenses, sales, profit or loss

Taxes, discounts, tips and more

Discounts — Word Problem

Taxes — Word Problem

Percentage - Applying a Discount Price– Word Problem

Percentage - Applying a Discount Percent – Word Problem

Percentage - Applying a Tax Total – Word Problem

Percentage - Applying a tax Percent – Word Problem

Analyze and interpret problems involving probability

Introduction to probability

Identify the Probability — Word Problem

Compound Probability

Reading Probability Models

Probability

Organizing outcomes

Calculating Outcomes

Probability of independent events

Comparing experimental and theoretical probability

comparing experimental and theoretical probability

Solve problems involving measures of central tendency

Median and mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

Median of an odd length list

Mean

Mean Word Problems

Find the Mean

Application of Means

Range and outliers

Range and Outlier Word Problems

Outlier Word Problems

Range Word Problems

Find the Range

Application of averages

Measures of Central Tendency — Word Problem

Find the Means — Data Tables

Find Mean and Mode — Data Table

Identify Outliers — Data Table

Analyze and describe percentiles

Measures of relative standing - z-score, quartiles, percentiles

Mathematics at Work 12

Measurement

Number

math

Ex.1

Ex.2

Ex.3

Ex.4

Intro

Drawing a tree diagram for a coin flip and gobstopper choice

Writing the sample space from a tree diagram

Determining if coin flip and gobstopper choice are independent outcomes

Organizing dice and spinner outcomes in a table

Counting total outcomes from a dice and spinner table

Determining if outcomes are equally likely with an unequal spinner

Listing all race outcomes for three people using a tree diagram

Finding outcomes where John finishes second using a tree diagram

Building a frequency table from a computer ownership survey

Organizing family computer ownership data into a dot plot

Using tree diagrams to organize outcomes in probability

In this section, we explain how to identify independent and random events. Two events are independent when the outcome of one event does not impact the outcome of the other event. An event is random when each outcome has an equal chance of occurring. In this section we practice determining the outcomes of two independent events and organizing these outcomes using tables and tree diagrams.  

How to organize outcomes for probability

Introduction to probability 