Concept+Boards

=[|A Great Fifth Grade Site for Help with Concepts]=

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=Week One:=

Geometry Symbols:
media type="custom" key="20609371" media type="custom" key="20609293" Angle Basics media type="custom" key="20609347" [|Anglemania!]
 * Acute and Obtuse Angles **

Complementary and Supplementary Angles
[|Great Visuals and Descriptions to Start You Out.] [|Working with Angles] [|A Polygon Quiz] media type="custom" key="20609385" media type="custom" key="20609389" Angles Part 2 media type="custom" key="20609363" [|Interactive Lesson]

Vertical Angles
media type="custom" key="20609495" [|Great Definition and Visuals of Vertical Angles.]

Traversals and Parallels
[|Interactive Angle Practice]

Identify Polygons
[|Polygons Defined]

** Identify Types of Triangles: **
=media type="custom" key="20609399"= media type="custom" key="20609425" [|A little triangle quiz for you] [|Another Quiz]

[|Classify Triangles]



** Fractions to Decimals and Decimals to Fractions **
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[|MATH-PLAY.COM]



Converting Improper Fractions to Mixed Numbers and Visa-Vera
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** Customary Length Conversions: **
media type="custom" key="20609931" [|UNITS OF LENGTH]

Adding and Subtracting Mixed Fractions
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Place Value and Value
[|MATH-PLAY.COM]

[|MATH-PLAY.COM]

=Week Two:=

Mixed Fractions with unlike denominators:
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LCMs and GCFs

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media type="custom" key="20772248" media type="custom" key="20772262" [|Play Snowball Fight LCMs] [|LCM Interactive] [|Fruit Shoot GCF Game] [|Sketch GCF Game] [|Factors and Multiples Jeopardy]

Perimeter
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Estimate the Perimeter
Round the measurements and then add the sides together.

Averages
Range media type="custom" key="20772334" media type="custom" key="20772338" [|Mean, Median, and Mode Game] [|Another Mean, Median, and Mode Game]
 * Mean, Median, and Mode**

Unit Pricing
media type="custom" key="20772350" media type="custom" key="20772360" =Unit Price= Just divide the cost by the quantity: Example: 2 liters for $3.80 is $3.80/2 liters = **$1.90 per liter** ||
 * [[image:http://www.mathsisfun.com/measure/images/bottle-2l.gif width="100" height="194" caption="2 Liters for $3.80"]] || The "Unit Price" (or "unit cost") tells you the cost per liter, per kilogram, per pound, etc, of what you want to buy.

Comparing
Comparing Unit Prices can be a good way of finding which is the "best buy". Example: What is best In this case the "Unit" is 1 liter, and the Unit Prices are: So the lowest Unit Price (and the best bargain) is 1.5 liters at $2.70. Of course it doesn't tell you the **quality** of what you are buying, but it can help you make a decision. If something is sold in number of items (for example "10 pencils") then the same method can be used: Example: What is best Here is the Unit Cost: So the lowest Unit Price (and the best bargain) is 10 pencils for $4.00 [|Unit Price Interactive]
 * 2 liters of Milk at $3.80, or
 * 1.5 liters of Milk at $2.70 ?
 * $3.80 / 2 liters = $1.90 per liter
 * $2.70 / 1.5 liters = $1.80 per liter
 * 10 pencils for $4.00, or
 * 6 pencils for $2.70 ?
 * $4.00 / 10 = $0.40 per pencil
 * $2.70 / 6 = $0.45 per pencil

Geometry
Complementary and Supplementary Angles: media type="custom" key="20772404" media type="custom" key="20772410" C and S angles with vertical angles: media type="custom" key="20772440" media type="custom" key="20772442" media type="custom" key="20772454" media type="custom" key="20772458" media type="custom" key="20772470"
 * Corresponding Angles**
 * Alternate Interior and Exterior Angles:**
 * [|A Bridge with Alternate Interior Angles Video]**
 * [|Alternate Exterior Angles on a Map Video]**
 * [|Definitions, visuals, and examples of types of angles]**
 * [|Online games, videos, and activities for angles]**
 * [|Interactive angle practice]**
 * [|Interactive Transversal and Angle Practice]**

**Triangles:**
=Perimeter of a triangle= Given sides a, b, and c, finding the perimeter of a triangle is given by the following formula:



P = a + b + c

Find the perimeter of a triangle when a = 3 cm, b = 5 cm, and c = 7

P = 3 + 5 + 7 = 15 cm

Find the perimeter when a = 4 cm, b = 8 cm, and c = 12

P = 4 + 8 + 12 = 24 cm

Find the perimeter when a = 1/2 cm, b = 3/2 cm, and c = 6/2

P = 1/2 + 3/2 + 6/2 = ( 1 + 3 + 6)/2 = 10/2 = 5 cm

If P = 30 cm and a = 5 and b = 7, what is c?

Using the formula P = a + b + c, replace everything you know or everything given to you into the formula

Things that are given are P = 30, a = 8, and b = 10

Replacing them into the formula gives:

30 = 8 + 10 + c

30 = 18 + c

You end up with an [|addition equation] that you can solve to get c

However, some mental math should provide you with an answer too.

Replace c by a question mark (?) and say to yourself the following:

18 + ? = 30 or what can I add to 18 to get 30 ? 18 + 12 = 30, so c = 12

If P = 20 cm, b = 7 and c = 8, what is a?

Using the formula P = a + b + c, replace everything you know or everything given to you into the formula

Things that are given are P = 20, b = 7, and c = 8

Replacing them into the formula gives:

20 = a + 7 + 8

20 = a + 15

What can I add to 15 to get 20? The answer is 5, so a = 5

Area of a triangle:
[|Interactive Area and Definition]





**Measuring with a protractor:**
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 * [|Protractor Measuring Game]**

**Multiplying and Dividing Fractions:**
=Multiplying Fractions= //Multiply the tops, multiply the bottoms.// 1. Multiply the top numbers (the //numerators//). 2. Multiply the bottom numbers (the //denominators//). 3. Simplify the fraction if needed. ||  ||
 * Multiplying Fractions:**
 * ===There are 3 simple steps to multiply fractions===

Example 1

 * 1 || × || 2 ||
 * 2 ||^  || 5 ||
 * Step 1**. Multiply the top numbers:
 * 1 || × || 2 ||  || 1 × 2 ||   || 2 ||
 * 2 ||^  || 5 ||^   ||   ||^   ||   ||
 * Step 2**. Multiply the bottom numbers:
 * 1 || × || 2 ||  || 1 × 2 ||   || 2 ||
 * 2 ||^  || 5 ||^   || 2 × 5 ||^   || 10 ||
 * 1 || × || 2 ||  || 1 × 2 ||   || 2 ||
 * 2 ||^  || 5 ||^   || 2 × 5 ||^   || 10 ||
 * 2 ||^  || 5 ||^   || 2 × 5 ||^   || 10 ||

media type="custom" key="20772662" media type="custom" key="20772664" [|Who Wants to be a Millionaire Multiplying Fractions Game] [|Math Soccer Game Multiplying Fractions]
 * Step 3**. Simplify the fraction:|| 2
 * = || 1 ||
 * 10 ||^  || 5 ||
 * 10 ||^  || 5 ||

=Dividing Fractions= //Turn the second fraction upside down, then just multiply.//
 * Dividing Fractions:**

There are 3 Simple Steps to Divide Fractions:
(this is now a [|reciprocal]). ||
 * Step 1. Turn the second fraction //(the one you want to divide by)// upside-down
 * Step 2. [|Multiply] the first fraction by that reciprocal

Step 3. [|Simplify] the fraction (if needed) ||  ||   ||

Example 1

 * 1 || ÷ || 1 ||
 * 2 ||^  || 6 ||
 * 2 ||^  || 6 ||

Step 1. Turn the second fraction upside-down (it becomes a **reciprocal**):


 * 1 || becomes || 6 ||
 * 6 ||^  || 1 ||
 * 6 ||^  || 1 ||

Step 2. Multiply the first fraction by that **reciprocal**:

Step 3. Simplify the fraction: media type="custom" key="20772656" media type="custom" key="20772660" [|Dividing Fractions Soccer Game] [|Basketball Dividing Fractions Game]
 * 1 || × || 6 ||  || 1 × 6 ||   || 6 ||
 * 2 ||^  || 1 ||^   || 2 × 1 ||^   || 2 ||
 * 2 ||^  || 1 ||^   || 2 × 1 ||^   || 2 ||
 * 6 || = || **3** ||
 * 2 ||^  ||^   ||
 * 2 ||^  ||^   ||

Fractions of a whole:
Example: 2/5 of 20 media type="custom" key="20772674" media type="custom" key="20772680" [|Splitting groups into sets frog game] [|Fraction Bars]

Pemdas:
media type="custom" key="20772724" media type="custom" key="20772728" media type="custom" key="20772734" [|Order of Operations Who Wants to be a Millionaire Game]

Divisibility:
All media type="custom" key="20772756" Divisible by 3 or 9 media type="custom" key="20772772" Divisibility of 4 media type="custom" key="20772778" media type="custom" key="20772790" Divisible by 5 media type="custom" key="20772796" Divisibility of 2 media type="custom" key="20772806" odd numbers and even numbers media type="custom" key="20772814" Divisibility Song media type="custom" key="20772762" Divisibility Game [|Victor's Divisibility Game] [|Interactive Divisibility Practice] [|Interactive Divisibility Practice II] =Week Three:= Corresponding and Alternate Angles [|Video Teacher] [|More Video Teachers] media type="custom" key="20609647"

=Week Four:= Angles: =[|MATH-PLAY.COM]=

=Week Five:=

The proportion formula is what is used to figure out discounts and exchange rates: media type="custom" key="21147802"

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Fractional Exponents media type="custom" key="21147964" Area Formulas

**square** = a 2 **rectangle** = ab  **parallelogram** = bh   **trapezoid** = h/2 (b1 + b2) **circle** = //pi// r 2 **ellipse** = //pi// r1 r2

[|Area and Surface Area Formulas] Surface Area of a Cylinder

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Surface Area of a Rectangular Prism

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Area of a Trapezoid

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Comparing Fractions

[|butterfly method] [|butterfly method video] [|Why does the butterfly method work?]

Below is a guide to comparing fractions that I made:

=Week Six:= =Week Seven:= =Week Eight:=

=Week Nine:= =Week Ten:= =Week Eleven:= =Week Twelve:= =Week Thirteen:=

=Week Fourteen:=

=Week Fifteen:=

=Week Sixteen:=

=Week Seventeen:=

=Week Eighteen:=

=Week Nineteen:= =Week Twenty:=

=Week Twenty-one:= =Week Twenty-two:=

=Week Twenty-three:= =Week Twenty-four:= =Week Twenty-five:= =Week Twenty-six:=