Lessons

Instructions for the ELL Math Online course
toc In this Math course we will **go ONLINE and use many lessons from Khan Academy**. However, **we will not be doing every lesson and exercise**. Students in this course will **follow the lesson links BELOW**. (one after another). There are also links to other lessons outside Khan academy and hand out pages.

In Khan academy, if you feel like you know the practice, then you can try the links called EXERCISE. You must get five questions correct in a row to get Mastery and points - **do NOT go on until you get mastery**. If you have problems you can review the video AND talk to the teacher to help you.

Once you get mastery then **come back to THIS PAGE and go to the next link.**

**Note: to Open Notebook files use this site -** [|http://express.smarttech.com/#] You can also open Notebook files online http://smartnotebook.com

=CURRENT LESSONS=

=Unit 6 - Statistics=



===R[|eading and interpreting data] === This tutorial is less about statistics and more about interpreting data--whether it is presented as a table, pictograph, bar graph or line graph. Good for someone new to these ideas. For a student in high school or college looking to learn statistics, it might make sense to skip (although it might not hurt either).

p. 172, 173 ABE parts of a graph worksheet ex 1. [|__http://www.teach-nology.com/worksheets/math/graph/grap32.pdf__] [|__http://www.gnosislearning.com/_document/Describing+Trends.pdf__]
 * Lesson 1**
 * Intro to statistics - graph vocabulary, trends **
 * Trends vocab - Terms page **

Parts of a line Graph - http://interventioncentral.mysdhc.org/graph-misc/LineGraphParts.pdf http://www.beaconlearningcenter.com/weblessons/alltheparts/default.htm#page4
 * Lesson 2 - Line Graphs**

[|Reading Line Graphs]

[|Reading line charts 1]

constructing line graphs with tables Constructing Line Graphs [|__http://www.mathgoodies.com/lessons/graphs/construct_line.html__]
 * Lesson 3 - Data from Tables and Tallies**


 * [|Reading tables 1]

[|Reading tables 1]

[|Reading tables 2]

[|Reading tables 2]

Parts of a Bar Graph - http://www.studyzone.org/testprep/math4/e/bargraph3l.cfm
 * Lesson 4 - Bar Graphs**

Parts of a Bar Graph - [|__http://www.studyzone.org/testprep/math4/e/bargraph3l.cfm__]

from a table [|__http://www.enchantedlearning.com/math/graphs/bargraph/__] [|__http://www.emathzone.com/tutorials/basic-statistics/simple-bar-chart.html__] [|__http://www.mathgoodies.com/lessons/graphs/bar_graph.html__]


 * [|Reading bar charts 1]

[|Reading bar charts 1]

[|Creating bar charts 1]

[|Creating bar charts 1]

[|Reading bar charts 2]

[|Reading bar charts 2]

[|Reading bar charts 3]

[|Reading bar charts 3]

[|__http://www.onlinemathlearning.com/bar-charts.html__]
 * Lesson 5 - Horizontal bar Graphs**

[|__http://www.statcan.gc.ca/edu/power-pouvoir/ch9/bargraph-diagrammeabarres/5214818-eng.htm#a1__] [|__http://www.onlinemathlearning.com/bar-charts.html__]
 * Lesson 6 - Double bar graphs**


 * Lesson 7 _pictographs**

[|__http://www.studyzone.org/testprep/math4/e/pictographs3l.cfm__] Stats Can: [|__http://www.statcan.gc.ca/edu/power-pouvoir/ch9/picto-figuratifs/5214825-eng.htm__]


 * [|Reading Pictographs]

[|Reading pictographs 1]

[|Reading pictographs 2]

[|Reading Bar Graphs]

Stats Can: [|__http://www.statcan.gc.ca/edu/power-pouvoir/ch9/pie-secteurs/5214826-eng.htm__] [|__http://www.mathgoodies.com/lessons/graphs/circle_graph.html__] creating [|__http://www.mathgoodies.com/lessons/graphs/construct_circle.html__]
 * Lesson 8 - Circle graphs**

[|Reading Pie Graphs (Circle Graphs)]

[|__http://www.statcan.gc.ca/edu/power-pouvoir/ch9/histo/5214822-eng.htm__]
 * Lesson 9 - Histograms**

[|Histograms]

Stem and leaf plot 1. http://www.purplemath.com/modules/stemleaf.htm 2. [|__http://www.purplemath.com/modules/stemleaf.htm__] videos on: [|__http://www.onlinemathlearning.com/stem-leaf-plot-2.ht__] ml 3. [|__http://www.shmoop.com/basic-statistics-probability/stem-leaf-plots.html__]
 * Lesson 10 - Stem and leaf plots**


 * [|Stem-and-leaf Plots]

[|Reading stem and leaf plots]

[|Reading stem and leaf plots]

[|__http://www.shmoop.com/basic-statistics-probability/evaluating-data-conjectures.html__] [|__http://www.mathgoodies.com/lessons/graphs/compare_graphs.html__]
 * Lesson 11: Data Choices**


 * Finding the Mean**

https://www.mathsisfun.com/mean.html http://www.wikihow.com/Calculate-the-Mean

http://www.regentsprep.org/regents/math/algebra/ad2/pmeasure.htm http://www.mathgoodies.com/lessons/vol8/mean.html http://www.mathworksheets4kids.com/mean.html
 * Median Mode and Mean**

UNIT 5 - GEOMETRY
[|Section4_LessonC.notebook]

[|Section4_LessonD.notebook]

[|Section4_LessonE.notebook]

[|Section4_review.notebook]

[|Triangles on the Net.doc]

[|sect5A_hmk.notebook]

[|sect5B.notebook]

[|Sect5C.notebook]

[|Sec5D.notebook]

[|Sect5E.notebook]


 * || [|Section5 _Review.notebook] ||

[|transversal_extend.notebook] - Transversals

Points, lines, and planes  This topic introduces the basic conceptual tools that underpin our journey through Euclidean geometry. These include the ideas of points, lines, line segments, rays, and planes. SUBSCRIBE

===[|Introduction to Euclidean geometry] === Roughly 2400 years ago, Euclid of Alexandria wrote Elements which served as the world's geometry textbook until recently. Studied by Abraham Lincoln in order to sharpen his mind and truly appreciate mathematical deduction, it is still the basis of what we consider a first year course in geometry. This tutorial gives a bit of this background and then lays the conceptual foundation of points, lines, circles and planes that we will use as we journey through the world of Euclid.

[|Euclid as the Father of Geometry]

[|Language and Notation of Basic Geometry]

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Lines, Line Segments, and Rays]

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Recognizing rays lines and line segments]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Specifying planes in three dimensions]

[|Points, lines, and planes]

[|Language and Notation of the Circle]

[|The Golden Ratio]

[|Identifying Rays]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Measuring segments] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">Most of what we call "lines" in everyday life are really line segments from a mathematical point of view. This exercise makes you a bit more familiar with line segments by giving you some practice measuring and comparing them. Have fun!

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Measuring segments]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Measuring segments]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Congruent segments]

[|Congruent segments]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Algebraically determining segment length] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">In this tutorial, you'll flex both your algebra and geometry muscles at the same time. You'll do this by applying the right amount of spray tan (which is needed for properly flexing any muscle) and then solve problems about line segments using algebra!

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Segment addition]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Segment addition]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Algebraic midpoint of a segment exercise]

<span style="background-color: #297395; color: #ffffff; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Midpoint of a segment]

Khan Academy Lessons
<span style="color: #ffffff; display: block; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 12px; vertical-align: baseline;"><span style="background-color: #63b4e3; font-family: MuseoSans300,sans-serif; font-size: 30px; vertical-align: baseline;">Angles and intersecting lines <span style="background-color: #63b4e3; font-family: inherit; font-size: inherit; vertical-align: baseline;"> <span style="background-color: #63b4e3; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">This topic continues our journey through the world of Euclid by helping us understand angles and how they can relate to each other. <span class="not-subscribed-container new" style="background-color: #63b4e3; font-family: inherit; font-size: inherit; vertical-align: baseline;">SUBSCRIBE

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Angle basics and measurement] === <span style="background-color: #f7f7f7; color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">This tutorial will define what an angle is and help us think about how to measure them. If you're new to angles, this is a great place to start.

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Angle basics]

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Measuring angles in degrees]

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Using a protractor]

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Measuring angles]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Measuring angles]

[|Acute right and obtuse angles]

[|Angle types]

[|Vertical, adjacent and linearly paired angles]

[|Exploring angle pairs]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Angles between intersecting and parallel lines] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">Welcome. I'd like to introduce you to Mr. Angle. Nice to meet you. So nice to meet you. This tutorial introduces us to angles. It includes how we measure them, how angles relate to each other and properties of angles created from various types of intersecting lines. Mr. Angle is actually far more fun than you might initially presume him to be.

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Introduction to vertical angles]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Vertical angles]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Using algebra to find the measures of vertical angles]

[|Vertical angles 2]

[|Proof-Vertical Angles are Equal]

[|Angles Formed by Parallel Lines and Transversals]

[|Identifying Parallel and Perpendicular Lines]

[|Figuring out angles between transversal and parallel lines]

[|Congruent angles]

[|Parallel lines 1]

[|Using algebra to find measures of angles formed from transversal]

[|Parallel lines 2]

[|CA Geometry: Deducing Angle Measures]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Angles with triangles and polygons] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">Do the angles in a triangle always add up to the same thing? Would I ask it if they didn't? What do we know about the angles of a triangle if two of the sides are congruent (an isosceles triangle) or all three are congruent (an equilateral)? This tutorial is the place to find out.

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Proof - Sum of Measures of Angles in a Triangle are 180]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Triangle Angle Example 1]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Triangle Angle Example 2]

[|Triangle Angle Example 3]

[|Challenging Triangle Angle Problem]

[|Proof - Corresponding Angle Equivalence Implies Parallel Lines]

[|Finding more angles]

[|Angles 1]

[|Angles 2]

[|Sum of Interior Angles of a Polygon]

[|Angles of a polygon]

[|Sum of the exterior angles of convex polygon]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Complementary and supplementary angles] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">In this tutorial we'll look at the most famous types of angle-pairs--complementary and supplementary angles. This aren't particularly deep concepts, but you'll find they do come in handy!

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Complementary and supplementary angles]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Complementary and supplementary angles]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Example using algebra to find measure of complementary angles]

[|Example using algebra to find measure of supplementary angles]

<span style="background-color: #297395; color: #ffffff; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Angle addition postulate]

===<span style="color: #111111; font-family: MuseoSans500,sans-serif; font-size: 18px; vertical-align: baseline;">P <span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|erimeter and area of rectangles] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">How long of a fence do you need? How big is your house? How big is your waistline? What's your hat size? These are fundamentally important questions that need to be answered! This is a tutorial to give you the basics of what perimeter, circumference (really the perimeter of a circle) and area are and then applies the ideas to triangles, rectangles and circles. This is more of review for students who are going through the main geometry narrative and can be skipped if yo u remember it from grade-school.

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Perimeter and Area Basics]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Area and Perimeter]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Perimeter of a Polygon]

[|Perimeter of a shape]

[|Perimeter 1]

[|Finding dimensions given perimeter]

[|Area 1]

[|Finding dimensions given area]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Perimeter and area of triangles] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">You first learned about perimeter and area when you were in grade school. In this tutorial, we will revisit those ideas with a more mathy lense. We will use our prior knowledge of congruence to really start to prove some neat (and useful) results (including some that will be useful in our study of similarity).

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Perimeter and Area Basics]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Triangle Area Proofs]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Area of triangles]

[|Interesting Perimeter and Area Problems]

[|Area of Diagonal Generated Triangles of Rectangle are Equal]

[|Area of an equilateral triangle]

[|Area of shaded region made from equilateral triangles]

[|Shaded areas]

[|Challenging Perimeter Problem]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Circumference and area of circles] === Circles are everywhere. How can we measure how big they are? Well, we could think about the distance around the circle (circumference). Another option would be to think about how much space it takes up on our paper (area). Have fun!

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Circles: Radius, Diameter and Circumference]

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Parts of a Circle]

[|Radius diameter and circumference]

[|Area of a Circle]

<span style="background-color: #297395; color: #ffffff; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Area of a circle]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Volume of a box or rectangular prism] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">Volume measures how much 3-dimensional "space" an object takes up. We'll see in this tutorial that it is an extension of length (1-D) or area (2-D) to three dimensions!

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|How we measure volume]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Measuring volume with unit cubes]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Volume with unit cubes]

[|Measuring volume as area times length]

[|Volume of a rectangular prism or box examples]

[|Volume 1]

[|Volume word problem example]

[|Volume word problems]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; vertical-align: baseline;">[|Volume and surface area] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">Tired of perimeter and area and now want to measure 3-D space-take-upness. Well you've found the right tutorial. Enjoy!

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Solid Geometry Volume]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Cylinder Volume and Surface Area]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Volume of a Sphere]

<span style="background-color: #297395; color: #ffffff; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Solid geometry]

= =

Unit 4A - Measurement Standards
Metric System Length - Khan

Metric System Perimeter

Area of a Square in Metric worksheet

Metric System - volume - solid and liquid

Metric System - Fluid Volume -Khan

Metric System - weight and mass -Khan

Which Measurements to Use

Assignment - Measurement

Unit 4B - Measurement Conversions
Measurements of Time Time Word Problems

Converting Metric Distances [|Unit conversion: ordering metric distances] <span style="background-color: #ffffff; color: #999999; display: block; font-family: 'Proxima Nova',sans-serif; font-size: 12px; vertical-align: baseline;"> Math » 5th grade (U.S.) » Measurement and data » Unit conversion <span style="background-color: #ffffff; color: #444444; display: block; font-family: 'Proxima Nova',sans-serif; font-size: 14px; vertical-align: baseline;">We're asked to arrange the following measurements in order from smallest to largest. Converting Metric Volumes

Converting Metric Weights

Converting to Smaller Units

=FUTURE LESSONS= = = =Unit 7 - Exponents and Scientific Notation=



Intro to Exponents

Exponents Lesson



Exponents 2


 * || [|mod2_2B_varexp.pdf] 6 MB || variables and Expenonents ||  ||
 * || multiplying exponents || [|mod2_2C_multexp.pdf] ||  ||   ||
 * || dividing exponents || [|mod2_2D_div-exp.pdf] ||

[|Negative_exponents.pdf]

[|Small Numbers – Powers of Ten.doc]

Exponential Growth

Brackets and Exponents



[|Scientific Notation Introduction Activity.doc]

[|scino_small.pdf - with small numbers]
 * || [|scino_large.pdf - with large numbers] ||

[|Scientific Notation Internet Hunt.doc]

[|scino_review.pdf] - scientific Notation review

Khan Academy Lessons - Exponents and scientific Notation
===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|The world of exponents] === Addition was nice. Multiplication was cooler. In the mood for a new operation that grows numbers even faster? Ever felt like expressing repeated multiplication with less writing? Ever wanted to describe how most things in the universe grow and shrink? Well, exponents are your answer! This tutorial covers everything from basic exponents to negative and fractional ones. It assumes you remember your multiplication, negative numbers and fractions.

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Introduction to exponents]

<span style="background-color: #f7f7f7; color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Raising a number to the 0th and 1st power]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Powers of 1 and -1]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Powers of fractions]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Powers of zero]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Exponent example 1]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Exponent example 2]

<span style="background-color: #297395; color: #ffffff; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Positive and zero exponents]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Exponent properties] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">Tired of hairy exponent expressions? Feel compelled to clean them up? Well, this tutorial might just give you the tools you need. If you know a bit about exponents, you'll learn a ton more in this tutorial as you learn about the rules for simplifying exponents.

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Patterns in zeros exercise]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Patterns in zeros]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Exponent Rules Part 1]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Exponent Rules Part 2]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Exponent Properties Involving Quotients]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Exponent rules]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Negative and fractional exponents] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">It's normally a bad idea to hang around with negative people or do negative things, but we think it's OK to associate with negative exponents. And fractional exponents are even more fun. This idea will open up entirely new vistas to your mathematical life.

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Negative exponents]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Negative Exponent Intuition]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Zero, Negative, and Fractional Exponents]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Negative exponents]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Basic fractional exponents]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Negative fractional exponent examples]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Negative fractional exponent examples 2]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Fractional exponents]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Fractional exponents with numerators other than 1]

<span class="progress-title" style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: middle;"><span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Fractional exponents 2]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Scientific notation] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">Scientists and engineers often have to deal with super huge (like 6,000,000,000,000,000,000,000) and super small numbers (like 0.0000000000532). How can they do this without tiring their hands out? How can they look at a number and understand how large or small it is without counting the digits? The answer is to use scientific notation. If you come to this tutorial with a basic understanding of positive and negative exponents, it should leave you with a new appreciation for representing really huge and really small numbers!

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Introduction to scientific notation]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Scientific Notation]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Scientific notation intuition]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Scientific Notation Examples]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Scientific Notation I]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Scientific Notation Example 2]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Scientific notation]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Orders of magnitude] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">When people want to think about the general size of things but not worry about the exact number, they tend to think in terms of "orders of magnitude". This allows us to analyze and make comparisons between numbers very quickly, which allows us to make decisions about them quickly as well.

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Orders of magnitude exercise example 1]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Orders of magnitude exercise example 2]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Orders of magnitude]

===<span style="color: #005a88; font-family: MuseoSans300,sans-serif; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Computing with scientific notation] === <span style="color: #777777; display: block; font-family: inherit; font-size: inherit; vertical-align: baseline;">You already understand what scientific notation is. Now you'll actually use it to compute values and solve real-world problems.

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Multiplying in Scientific Notation]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Multiplying in scientific notation example]

<span style="color: #678d00; display: block; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Dividing in scientific notation example]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Multiplying and dividing in scientific notation]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Multiplying and dividing scientific notation]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Simplifying a complicated expression into scientific notation]

<span style="color: #678d00; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Calculating red blood cells in the body using scientific notation]

<span style="background-color: #297395; color: #ffffff; font-family: inherit; font-size: inherit; text-decoration: none; vertical-align: baseline;">[|Computing in scientific notation]

=Old Lessons=

=REVIEW Lessons=

Khan Academy

PRE-SKILLS

 * - Numbers and Basic Operations**
 * Khan Academy _ BASIC OPERATIONS**

[|Addition with carrying]
You're somewhat familar with adding, say, 17+12 or 21+32, but what happens for 13+19? Essentially, what happens when I max out the "ones place". In this tutorial, we'll introduce you to the powerful tool of carrying and why it works.
 * [|Introduction to carrying when adding]
 * ** [|Addition with carrying - EXERCISE] **
 * [|Addition 4]
 * ** [|4-digit addition with carrying - EXERCISE] **

[|Subtraction with borrowing (regrouping)]
You can subtract 21 from 45, but are a bit perplexed trying to subtract 26 from 45 (how do you subtract the 6 in 26 from the 5 in 45). This tutorial is your answer. You'll see that we can essentially "regroup" the value in a number from one place to another to solve your problem. This is also often called borrowing (although it is like "borrowing" sugar from your neighbor in that you never give it back).
 * [|Subtraction 3: Introduction to Borrowing or Regrouping]
 * [|Why borrowing works]
 * [|Borrowing once example 1]
 * ** [|Subtraction with borrowing -EXERCISE] **
 * [|Regrouping (borrowing) twice example]
 * ** [|4-digit subtraction with borrowing -EXERCISE] **
 * [|Alternate mental subtraction method]
 * [|Level 4 Subtraction]

[|Addition and subtraction word problems]
You feel comfortable with adding and subtracting multi-digit numbers. Now you can apply some of your skills to solve problems that arise in the real world (often called "word problems").
 * [|Subtraction Word Problem]
 * ** [|Addition and subtraction word problems - EXERCISE] **

[|Multi-digit multiplication]
You know your multiplication tables and are ready to learn how to multiply *any* number (actually, any whole number). Imagine the possibilities! This tutorial will make you unstoppable.


 * [|2 digit times 1 digit example]
 * [|3 digit times 1 digit example]
 * [|4 digit times 1 digit example]
 * ** [|Multiplication with carrying - EXERCISE] **
 * [|2-digit times a 2-digit number]
 * [|Example: 2-digit times 2-digit]
 * ** [|Multiplying 2 digits by 2 digits - EXERCISE] **
 * [|Multiple Digit Numbers]
 * ** [|Multi-digit multiplication EXERCISE] **
 * [|Multiplication estimation example]



[|Loooong division!]
You know your multiplication tables and are getting the hang of basic division. In this tutorial, we will journey into the world of loooong division (sometimes, referred to as "long division", but that's not as much fun to say). After this tutorial, you'll be able to divide any whole number by any other. The fun will not stop!
 * [|Introduction to long division]
 * ** [|Multi-digit division without remainders - EXERCISE] **
 * [|Introduction to remainders]
 * [|Long division with remainder example]
 * [|More long division without and with remainders]
 * ** [|Division with remainders -EXERCISE] **
 * [|Dividing by a two digit number]
 * ** [|Division by 2 digits - EXERCISE] **
 * ** [|Multi-digit division - EXERCISE] **
 * [|Level 4 division]

=UNIT 1 - DECIMALS=



Conceptualizing decimals and place notation -lessons



 * 1) [|Decimal Place Value]
 * 2) [|Decimal Place Value 2]
 * 3) [|Expanding out a decimal by place value]
 * 4) [|Writing a decimal to represent a quantity]
 * 5) ** [|Writing and interpreting decimals - Exercise] **
 * 6) [|Comparing place values in decimals]
 * 7) ** [|Comparing decimal place value - Exercise] **
 * 8) [|Using money to understand decimal place value]
 * 9) ** [|Money and decimal place value intuition - Exercise] **

[|Regrouping decimals]
Let's explore how we can regroup and redistribute value among the various place values in a decimal number.
 * [|Regrouping with decimals]
 * [|Regrouping with decimals example]
 * [|Regrouping decimals example 2]
 * [|Regrouping decimals]

[|Decimals on a number line]
Let's think about where decimals are on a number line. It will help us understand what decimals represent in general!
 * [|Decimals on a Number Line]
 * [|Decimals on the number line 1]
 * [|Points on a number line]
 * [|Decimals on the number line 2]
 * [|Positive and negative decimals on a number line]
 * [|Decimals on the number line 3]

[|Comparing decimals]
Let's test our understanding of decimals by comparing them to one another!
 * [|Comparing decimals example 1]
 * [|Comparing decimals example 2]
 * [|Comparing decimals 1]
 * [|Comparing decimals example 3]
 * [|Comparing decimals example 4]
 * [|Comparing decimals 2]

- Unit 3 Lesson B

[|Adding and subtracting decimals]
You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun!
 * [|Adding decimals example 1]
 * [|Adding decimals example 2]
 * [|Adding decimals example 3]
 * [|Adding decimals 0.5]
 * [|Adding decimals 1]
 * [|Adding decimals 2]
 * [|Subtracting Decimals]
 * [|Subtracting decimals 0.5]
 * [|Subtracting decimals]
 * [|Adding decimals word problem]
 * [|Subtracting Decimals Word Problem]
 * [|Adding and subtracting decimals word problems]
 * [|Subtracting decimals (old)]

- Unit 3 Lesson F

[|Multiplying decimals]
The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.).
 * [|Multiplying Decimals]
 * [|Multiplying decimals example 2]
 * [|Multiple examples multiplying decimals]
 * [|Multiplying decimals]

[|Dividing decimals]
You can add, subtract and multiply decimals. You know you'd feel a bit empty if you couldn't divide them as well. But something more powerful is going to happen. If you are like us, you never quite liked those pesky remainders when dividing whole numbers. Well, those pesky remainders better watch out because they are going to be divided too!!!! Ah ha ha ha ha!!!!!
 * [|Dividing completely to get decimal answer]
 * [|Dividing completely to get decimal answer example 2]
 * [|Dividing completely]
 * [|Dividing a decimal by a whole number]
 * [|Dividing decimals 1]
 * [|Dividing a whole number by a decimal]
 * [|Dividing decimals 2]
 * [|Dividing Decimals]
 * [|Dividing decimal]
 * [|Dividing decimals]





=RATES with decimals= Finding Unit Prices Finding Unit Rates Rate Problems

[|Converting between fractions and decimals]
Both fractions and decimals are desperate to capture that little part of our heart that desires to express non-whole numbers. But must we commit? Can't we have business in the front and party in the back (younger people should look up the word "mullet" to see a hair-style worth considering for your next trip to the barber)? Can't it look like a pump, but feel like a sneaker? Well, if 18-wheelers can turn into self-righteous robots, then why can't decimals and fractions turn into each other?
 * [|Converting fractions to decimals (ex1)]
 * [|Converting fractions to decimals (ex2)]
 * [|Converting fractions to decimals]
 * [|Converting Fractions to Decimals Example]
 * [|Converting fractions to decimals]
 * [|Decimals and Fractions]
 * [|Converting decimals to fractions 1 (ex 1)]
 * [|Converting decimals to fractions 1 (ex 2)]
 * [|Converting decimals to fractions 1 (ex 3)]
 * [|Converting decimals to fractions 1]
 * [|Converting decimals to fractions 2 (ex 1)]
 * [|Converting decimals to fractions 2 (ex 2)]
 * [|Converting decimals to fractions 2]

[|Estimating and rounding with decimals]
Laziness is usually considered a bad thing. But sometimes, it is useful to be lazy in a smart way. Why do a big, hairy calculation if you just need a rough estimate? Why keep track of 2.345609 when you only need 2.35? This tutorial will get you comfortable with sometimes being a little rough with numbers. By being able to round and estimate them, it'll only add one more tool to your toolkit.
 * [|Rounding Decimals]
 * [|Rounding numbers]
 * [|Estimation with Decimals]
 * [|Estimation with decimals]

[|Significant figures]
There is a strong temptation in life to appear precise, even when you are aren't accurate. If you precisely measure one dimension of a carpet to be 3.256 meters and eyeball the other dimensional to be "roughly 2 meters", can you really claim that the area is 6.512 square meters (3.256 x 2)? Isn't that a little misleading? This tutorial gets us thinking about conundrum and gives us the best practices that scientists and engineers use to not mislead each other.


 * [|Significant Figures]
 * [|More on Significant Figures]
 * [|Addition and Subtraction with Significant Figures]
 * [|Multiplying and Dividing with Significant Figures]
 * [|Significant figures]

[|Moving the decimal to multiply and divide by 10]
In our decimal number system, as we move places to the left, the place values increase by a factor of 10 (likewise, they decrease by a factor of 10 as we move rightward). This idea gets direct application when we multiply or divide a decimal number by 10 because it has the effect of shifting every place value one to the right or left (sometime seen as moving the decimal point).
 * [|Multiplying a Decimal by a Power of 10]
 * [|Dividing a Decimal by a Power of 10]
 * [|Dividing a decimal by a power of 10 (part 2)]
 * [|Understanding moving the decimal]
 * [|Fractions as division by a power of 10]



=SKIPPED LESSONS=

Unit 2 - Working with Numbers, Factors, and Multiples
- Unit 2 Lesson A - counting, number lines, sets, types of numbers

- Divisibility of Numbers

Whether you are trying to impress your dog's friends (who are obsessed with figuring out number divisibility) or quickly factor a number, it can be very useful to tell whether a number is divisible by another. This tutorial walks through some of the more standard divisibility methods and describes why they work.

- Unit 2 Lesson B and Activity - Factors

[|Divisibility and factors]
In this tutorial, we'll begin to think about the numbers that "make up" the number. This will be useful throughout our study of math. Whether we are adding fractions, exploring mystical number patterns, or breaking computer codes, factoring numbers are key! Eye of the tiger!
 * [|Finding Factors of a Number]
 * [|Finding factors and multiples]
 * [|Divisibility 0.5]
 * [|Divisibility Intuition]
 * [|Divisibility intuition]

- Unit 2 - Lesson C - Prime and Composite Numbers

Prime numbers have been studied by mathematicians and mystics for ages (seriously). They are both basic and mysterious. The more you explore them, the more you will realize that the universe is a fascinating place. This tutorial will introduce you to the magical world of prime numbers.


 * [|Prime Numbers]
 * [|Composite numbers]

- Unit 2 Lesson D - Factor Trees



You know what prime numbers are and how to identify them. In this tutorial, we'll see that *all* positive whole numbers can be broken down into products of prime numbers (In some way, prime numbers are the "atoms" of the number world that can be multiplied to create any other number). Besides being a fascinating idea, it is also extremely useful. Prime factorization can be used to decrypt encrypted information!


 * [|Prime Factorization]
 * [|Prime factorization exercise]
 * [|Prime factorization]
 * [|The fundamental theorem of arithmetic]
 * [|The fundamental theorem of arithmetic]
 * [|Common Divisibility Examples]
 * [|Divisibility]



[|Least common multiple]
Life is good, but it can always get better. Just imagine being able to find the smallest number that is a multiple of two other numbers! Other than making your life more fulfilling, it will allow you to do incredible things like adding fractions.


 * [|Least common multiple exercise]
 * [|Least common multiple exercise 2]
 * [|Least Common Multiple (LCM)]
 * [|Old Least Common Multiple]
 * [|Least common multiple]

[|Greatest common divisor]
You know how to find factors of a number. But what about factors that are common to two numbers? Even better, imagine the largest factors that are common to two numbers. I know. Too exciting!
 * [|Greatest common divisor factor exercise]
 * [|Greatest Common Divisor]
 * [|Greatest common divisor]
 * [|LCM and GCF (greatest common factor) word problems]
 * [|LCM and GCD word problems]

For the Teacher - - Unit 2 Lesson Plans link

=Unit 3 - Percents=


 * [[file:Percent and Decimals.docx]] - meaning of percent, decimals to percent, percent to decimals**

[|Intro to percentages]
At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise. As you'll see "percent" literally means "per cent" or "per hundred". It's a pseudo-decimally thing that our society likes to use even though decimals or fractions alone would have done the trick. Either way, we're 100% sure you'll find this useful.


 * [|Describing the Meaning of Percent]
 * [|Describing the Meaning of Percent 2]
 * [|Representing a number as a decimal, percent, and fraction]
 * [|Converting decimals to percents (ex 1)]
 * [|Converting decimals to percents (ex 2)]
 * [|Converting decimals to percents]
 * [|Converting percents to decimals (ex 1)]
 * [|Converting percents to decimals (ex 2)]
 * [|Converting percents to decimals]
 * [|Finding percentages example]
 * [|Percent word problems]
 * [|Taking a percentage example]
 * [|Finding percents]
 * [|Identifying Percent Amount and Base]
 * [|Representing a number as a decimal, percent, and fraction 2]
 * [|Ordering numeric expressions]

[|Percent word problems]
Whether you're calculating a tip at your favorite restaurant or figuring out how many decades you'll be paying your student debt because of the interest, percents will show up again and again and again in your life. This tutorial will expose you to some of these problems before they show up in your actual life so you can handle them with ease (kind of like a vaccine for the brain). Enjoy.


 * [|Growing by a percentage]
 * [|Solving Percent Problems]
 * [|Solving Percent Problems 2]
 * [|Solving Percent Problems 3]
 * [|Discount tax and tip word problems]
 * [|Markup and commission word problems]


 * [[file:mod3_2B.notebook]]- Lesson B**


 * [[file:mod3_2C.notebook]]- Lesson C Method 2 [[file:TopicA_%of#.pdf]]**

Other Pecent Conversions


 * 1) [|Another percent word problem]
 * 2) [|Percent word problems]
 * 3) [|Percent word problems 1 example 2)]
 * 4) [|Solving percent problems 2]
 * 5) [|Solving percent problems 3]
 * 6) [|Percentage word problems 1] [| - Exercise]

**Unit 4 - Ratios and proportion**

**Unit Plan [for teachers and instructors]**



This is a lesson about ratios - exercise pages are on the "assignments page"

Here are some internet lessons about ratios Ratios Lesson Online Thinking Box lessons and practice online Math Playground Online Lessons

[|Ratios and proportions]
Would you rather go to a college with a high teacher-to-student ratio or a low one? What about the ratio of girls-to-boys? What is the ratio of eggs to butter in your favorite dessert? Ratios show up EVERYWHERE in life. This tutorial introduces you to what they (and proportions) are and how to make good use of them!
 * [|Introduction to Ratios (new HD version)]
 * [|Ratios as Fractions in Simplest Form]
 * [|Simplifying Rates and Ratios]
 * [|Expressing ratios as fractions]
 * [|Describing ratios exercise]
 * [|Describing ratios]
 * [|Ratio word problem exercise example 1]
 * [|Ratio word problem exercise example 2]
 * [|Ratio word problems]
 * [|Proportion validity example]
 * [|Solving ratio problems with tables exercise]
 * [|Solving ratio problems with tables exercise 2]
 * [|Solving ratio problems with tables exercise 3]
 * [|Solving ratio problems with tables]

Scale Drawing -
http://www.basic-mathematics.com/scale-drawings.html http://www.mathsisfun.com/definitions/scale.html http://www.phschool.com/iText/mgmath_course2/Ch05/05-07/PH_MSM2_ch05-07_Obj1.html

Scale drawings
Equivalent Ratios
 * <span style="background-color: transparent; color: #555555; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Interpreting a scale drawing to find living room area]
 * <span style="background-color: #eeeeee; color: #1c758a; font-family: 'Proxima Nova Bold',sans-serif; font-size: inherit; vertical-align: baseline;">[|Interpreting scale drawings example]
 * <span style="background-color: transparent; color: #555555; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Interpreting scale drawings]
 * <span style="background-color: transparent; color: #555555; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Constructing scale drawings]
 * <span style="background-color: transparent; color: #555555; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Constructing scale drawing]
 * <span style="background-color: transparent; color: #555555; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Constructing scale drawings]
 * <span style="background-color: transparent; color: #555555; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Constructing scale drawing]
 * <span style="background-color: transparent; color: #555555; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Constructing scale drawing]
 * <span style="background-color: transparent; color: #555555; font-family: inherit; font-size: inherit; vertical-align: baseline;">[|Constructing scale drawing]

Cross multiply Problems

Writing and Interpreting Decimals

Place Notation

Let's think about where decimals are on a number line. It will help us understand what decimals represent in general!

[|Decimals on a number line]

<span style="background-color: #ffffff; color: #ffffff; display: block; font-family: 'Proxima Nova',sans-serif; font-size: 14px; vertical-align: top;">** [|Decimals on the number line 1] **

[|Decimals and fractions on a number line]


 * [|Decimals on the number line 2] **

[|Placing positive and negative decimals on a number line]


 * [|Decimals on the number line 3] **

Let's test our understanding of decimals by comparing them to one another!

[|Comparing decimals example 1]

[|Comparing decimals example 2]


 * [|Comparing decimals 1] **

[|Comparing decimals: difference in largest place value]

[|Comparing decimals: place value difference]


 * [|Comparing decimals 2] **

[|Comparing decimals: ordering from least to greatest]

[|Comparing decimals: ordering from smallest to biggest]


 * [|Ordering decimals] **






 * [|Details]
 * [[file:tupperellmath/U3_LessonA.pdf|Download]]
 * 1 MB

Conceptualizing decimals and place notation -lessons


- Writing Numbers in English

- Writing and Comparing Numbers Advanced





Time conversions

Time - Khan Academy Exercises

<span style="color: #444444; display: block; font-family: 'Proxima Nova',sans-serif; font-size: 16px; vertical-align: baseline;"> [|Unit conversion: minutes to hours] <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">Math » <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">5th grade (U.S.) » <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">Measurement and data » <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">Unit conversion How many hours are in 549 minutes ? ... Then you have 4 hours, which is 240 minutes. 5 hours is 300 minutes. 6 hours is 360 minutes. 7 hours, <span style="color: #444444; display: block; font-family: 'Proxima Nova',sans-serif; font-size: 16px; vertical-align: baseline;"> [|Converting between units of time] <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">Math » <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">4th grade (U.S.) » <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">Measurement and data » <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">Unit conversion Let's convert between hours , minutes , and seconds. ... Well, it would be the same exact idea. 60 minutes per hour, if I have 2 hours , ... <span style="color: #444444; display: block; font-family: 'Proxima Nova',sans-serif; font-size: 16px; vertical-align: baseline;"> [|Multi-step word problem with fractions and units of time] <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">Math » <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">7th grade (U.S.) » <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">Fractions and decimals » <span class="breadcrumb" style="color: #999999; font-family: inherit; font-size: inherit; vertical-align: baseline;">Multi-step word problems I'll just write min for short-- divided by 60 minutes per hour gives us 300 divided by 60 is 5 hours.