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Master Scale Diagrams: Learn How to Create & Interpret

Derive proofs involving properties of angles and triangles

Classifying triangles

Isosceles and equilateral triangles

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Solve problems involving properties of angles and triangles

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Unit circle

Angles in a circle

Determining non-permissible values for trig expressions

Solve problems involving cosine law and sine law, including ambiguous case

Law of sines

Ambiguous case: SSA triangles

Law of cosines

Applications of the sine law and cosine law

Analyze and prove conjectures using inductive and deductive reasoning to solve problems

Null hypothesis and alternative hypothesis

Proving claims

Confidence levels, significance levels and critical values

Test statistics

Analyze puzzles and games involving spatial reasoning using problem-solving strategies

Line symmetry

Rotational symmetry and transformations

Solve problems involving application of rates

Direct variation

Identifying direct variations

Rate of change

Applications of linear relations

Solve problems involving scale diagrams using proportional reasoning

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Understand relationships among scale factors, areas, surface areas, and volumes of similar 2-D shapes and 3-D objects

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Model and solve problems involving systems of linear inequalities in two variables

Graphing linear inequalities in two variables

Graphing quadratic inequalities in two variables

Graphing systems of quadratic inequalities

Inequalities of combined functions

Inequalities of Combined Functions

Graphing systems of linear inequalities

Applications of inequalities

Demonstrate understanding of characteristics of quadratic functions

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

Adding functions

Subtracting functions

Multiplying functions

Dividing functions

Operations of Functions – In a Nutshell

Inverse functions

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

Demonstrate understanding of normal distribution, including standard deviation and z-scores

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

Interpret statistical data using confidence intervals, confidence levels, and margin of error

Point estimates

Confidence levels and critical values

Margin of error

Margin of Error

Making a confidence interval

Confidence intervals to estimate population mean

Critically analyze society's use of inferential statistics

Traditional hypothesis testing

Traditional Mean Hypothesis Testing

P-value hypothesis testing

Proportion Hypothesis Testing

Mean hypothesis testing with t-distribution

Hypothesis Testing Mean Claims without Knowing <katex> \sigma </katex>

Mathematics 11

Logical Reasoning

Measurement

Relations and Functions

math

Intro

- Hi and welcome to this question right here. We're trying to figure out the actual length of the objects now, okay? 
And there's a scale of the image of the leaf is 1.02 and here is the length of the image at 50 centimeters. Now there is something that we have to know, okay? The equation says the ratio is based on the image divided by actual part of the object. What happened is the image on top the actual object on bottom. Let's continue on with our work right here. We know the ratio is 1 and .2. The 1 is the image and the 
.2 is the actual. I'm going to continue my work right here. This is my 1. This is my 0.2 And I'm going to make it equal to another fraction here because I do know the length of my image. It's 50 centimeters. So again, the image goes on the top. Here's my 50 centimeter and the missing number is this part right here which is the actual, the length of the object, okay? It looks like you do know everything except this part right here. So the math here is quite simple. But think about this way. They're equal to each other. How do I go from 1 to 50? I multiply by 50, didn't I? You have to do the same to the bottom. You also have to times by 50 to the bottom part. So 50 times .2, if you use the calculator, you're going to get an answer of, just going to be, a ten for the final answer. The actual length of this leaf here is just going to be 10 centimeters, okay? 
Thanks for watching.

What is the actual length of a street on the map? All we need is a ruler and the map's scale factor! By using the scale factors, we can easily find the actual size of an object. See how to do that in this lesson.

Understanding scale drawings with examples

Ratios