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Introduction to Ratios: Master the Basics of Comparison

Grade 11 Math: Master Advanced Concepts & Skills

FM20.1

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Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

Frequency distribution and histograms

Stem and leaf plots

The Leaf and Stem of Numbers

Recognizing the Leaf and Stem of Numbers

Recognizing The Leaf And Stem of Numbers Leaf

Recognizing The Leaf And Stem of Numbers Stem

Reading Stem and Leaf Plots — Median

Reading Stem and Leaf Plots — Range

stem and leaf plots Range

Reading Stem and Leaf Plots

Reading Stem and Leaf Plots — Mean

Reading Stem and Leaf Plots — Mode

Frequency polygons

Census and bias

Census and Bias

Classifying Bias

Shapes of distributions

FM20.2

Set notation

Understanding How to Use Set Notation

Set builder notation

Intersection and union of 2 sets

Intersection and Union of 2 Sets

Intersection and union of 3 sets

Intersection and Union of 3 Sets

FM20.3

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Ratios

Ratios - Find The Missing Value LHS

Ratios - Find The Missing Value RHS

Equivalent Ratios

Rates

Find the Biggest Rate 

Find the Unit Price 

Unit Rate Fill in Box

Find the Quickest Rate 

Unit Rate

Proportions

Proportions — Missing Denominator

Proportions — Missing Numerator

Proportions - Find the Missing Denominator LHS

Proportions - Find the Missing Denominator RHS

Proportions - Find the Missing Numerator LHS

Proportions - Find the Missing Numerator RHS

FM20.4

Classifying triangles

Isosceles and equilateral triangles

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

FM20.5

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

FM20.6

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

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

Introduction to normal distribution

The Normal Distribution and the 68-95-99.7 Rule

Using "invNorm" to Solve Normal Distribution Problems

Normal distribution and continuous random variable

Z-scores and random continuous variables

FM20.7

Point estimates

Confidence levels and critical values

Margin of error

Margin of Error

Making a confidence interval

Chi-Squared confidence intervals

Chi-Squared Confidence Intervals

Confidence intervals to estimate population mean

Student's t-distribution

Student"s t-distribution

Determining a Confidence Interval for a Population Mean using t-distributions

FM20.8

What is linear programming?

Finding Optimal Values Given Constraints In Slope-Intercept Form

Finding Optimal Values Given Constraints In Standard Form

Linear programming word problems

Graphing linear inequalities in two variables

Graphing quadratic inequalities in two variables

Graphing systems of quadratic inequalities

Graphing systems of linear inequalities

Applications of inequalities

FM20.9

Characteristics of quadratic functions

Transformations of quadratic functions

Quadratic function in general form: y = ax^2 + bx + c

Converting from general to vertex form by completing the square

Shortcut: Vertex formula

Converting general form into vertex form by applying the vertex formula

Vertex Formula Application

Graphing quadratic functions: General form VS. Vertex form

Finding the quadratic functions for given parabolas

Applications of quadratic functions

Quadratic function in vertex form: y = a(x-p)^2 + q

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Foundations of Mathematics 20

Mathematics as a Human Endeavour

math

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https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade11math.png

Intro

Ex 4.

Ex 5.

Ex 6.

Ex 8.

Finding the total from a ratio when one share is known

Ex 7.

Sharing 21 candies in a 3 to 4 ratio between two people

<p>- Hi, welcome to this question right here. So we're trying to write the following ratios using the ratio notation in the lowest term. So we've got a five kilometer in 30 minutes. So what we do it is, let's have a kilometer on this side, and the ratio notation is basically like two dots, like a semicolon, and it's for every minute here. So if you read the question right here, we have five kilometers and corresponded to 30 minutes. So that's the ratio, for every five kilometers, you have 30 minutes and the way you need to do it is, you need to re-write this in terms of the lowest term. The lowest term, you just have to figure it out, the common factor for these two guys so find 30. You can divide both by five so you can divide this by five and get yourself a one, and you show the work so if you take this, divide it by five, you get yourself a one right here. And if you take this one here, divide it by five as well, you get yourself the six. So, this is the final for this question, basically says instead of a five kilometer for every 30 minutes, you now reduce it down to, for every kilometer you have six minutes for that. And that's your final answer right there. Thanks for watching.</p>

Simplifying a kilometers-to-minutes ratio to lowest terms

Simplifying a ratio of 4 to 500 to lowest terms

Simplifying a cupcake-to-flour ratio to lowest terms

Simplifying a precipitation-to-days ratio to lowest terms

Writing 3 hours per week as a fraction in lowest terms

Simplifying the ratio of sugar to pop volume

Ratio of sheep to total animals with simplifying

Simplifying a server-to-guest ratio with three given quantities

Comparing sugar to flour ratios for different bakery items

Finding the ratio of cookie sugar to total sugar

Simplifying a ratio with decimals to lowest terms

Simplifying a ratio when both numbers are decimals

Simplifying a ratio with a fraction to lowest terms

Simplifying a ratio of two fractions using the LCD

Simplifying a ratio with centimeters and kilometers

Simplifying a ratio with hours and minutes by converting units

Reviewing key ratio rules and previewing ratio problem types

Explaining the difference between ratios, rates, and proportions

Understanding equivalent ratios using fractions and the multiply-by-one rule

What are two-term and three term ratios? After watching this lesson, you will be able to answer this question by writing ratios in the lowest terms as well as in fraction and percent form. Practice your understanding by doing some real-life word questions too.

Introduction to basic ratios

Applications of percents