​MATH DEPARTMENT: 2020-2021

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2nd Quarter

• 6th - 2nd Qtr
• 7th - 2nd Qtr
• 8th - 2nd Qtr
• Algebra - 2nd Qtr

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               RATIOS​
​​Video:

• what's a ratio?
• what are equivalent ratios?
• how do you write a ratio in simplest form?
• how do you write ratios from a table?
• how do you find equivalent ratios by making a table?
• how do you use a table of equivalent ratios to predict a value?

​Practice: 

• ​NONE
  
• (Look under Proportion)

      PROPORTION
​​​​Video:

• what's a proportion?
• how do you solve a proportion using cross products?
• how do you solve a word problem using a proportion?

​Practice: ​​

• ​Identify proportional relationships
• Proportional relationships
• Solving proportions
• Writing proportions
• Interpret constants of proportionality
• Compare constants of proportionality
• Interpreting graphs of proportional relationships

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               RATIOS​
​​Video:

• what's a ratio?
• what are equivalent ratios?
• how do you write a ratio in simplest form?
• ​NEW:  How to Simplify Ratios | Simplifying Ratios
• how do you write ratios from a table?
• how do you find equivalent ratios by making a table?
• how do you use a table of equivalent ratios to predict a value?

​Practice: 

• ​NEW:  Simplify fractions
• NEW:  Equivalent fractions (number lines)
• (Look under Proportion)

       PROPORTION
​​​​Video:

• what's a proportion?
• how do you solve a proportion using cross products?
• how do you solve a word problem using a proportion?

​Practice: ​​

• ​Identify proportional relationships
• Proportional relationships
• Solving proportions
• Writing proportions
• Interpret constants of proportionality
• Compare constants of proportionality
• Interpreting graphs of proportional relationships

       PERCENTAGES
​​​​Video:

• Math Antics - What Are Percentages?
• Math Antics - What Are Percentages?
• ​Math Antics - Finding A Percent Of A Number​
• Math Antics - Percents Missing Total

​Practice: ​​

• Equivalent representations of percent problems
• Finding percents
• ​Percent word problems

VOLUME

FORMULAS:
(​You MUST Know)

NOTES/VOCABULARY:
​Vocabulary:
Radius - a straight line from the center to the circumference of a circle or sphere.
Diameter - a straight line passing from side to side through the center of  a circle or sphere.
Height - the measurement from base to top
Cylinder - Think of a can
Cone - Think of Ice Cream Cone
Sphere - Think of a round ball (baseball)​​

​             VIDEOS:

1. Volume Connections (YouTube)
2. Volume for Cylinder & Cone (Connection) 
3. Volume of a Sphere & Cylinder (Connection)
4. Math Antics - Volume
5. Volume of a Cylinder | MathHelp.com (youtube)
6. Volume of a Cone | MathHelp.com
7. Volume of a Sphere | MathHelp.com
   

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​​Notes:

• Volume of Cylinder, Cone, & Sphere

PRACTICE:

• Volume of cylinders
• Volume of cones
• Volume of spheres

​        ADDITIONAL 
    VIDEOS (YouTube):
1. How to Substitute Known or Given Values for the Variables in an Algebraic Expression
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2. Substitution | Algebra | Maths | FuseSchool
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3. Find The Height Of A Cylinder When Given The Volume And Radius
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​4. Find Radius of a Cylinder from Volume and Height 

FINDING VOLUME
Volume of a CYLINDER = radius x radius x height x 3.14
Volume of a CONE = radius x radius x height x ONE ÷ THREE x 3.14
Volume of a SPHERE = radius x radius x height (which is the diameter) x TWO ÷ THREE x 3.14
 
FINDING HEIGHT
Volume of a CYLINDER ÷ radius ÷ radius ÷ 3.14 = height
Volume of a CONE ÷ radius ÷ radius x THREE ÷ ONE ÷ 3.14 = height
 
FINDING RADIUS
Volume of a CYLINDER ÷ height ÷ 3.14 THEN √SQUAREROOT = radius
Volume of a CONE ÷ height x THREE ÷ ONE ÷ 3.14 THEN √SQUAREROOT = radius
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UNDER CONSTRUCTION

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​1st Quarter

• 7th - 1st Qtr
• 8th - 1st Qtr
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     ABSOLUTE VALUE
​Video: 

• ​what does absolute value mean?​
• how do you find the absolute value of positive and negative numbers?

Practice: 

• Finding absolute values
• ​Compare and order absolute values
• Interpreting absolute value

              ZERO PAIRS​​
Video:

• Understanding zero pairs

​Practice: ​

• ​​Number opposites

                 DIVIDE
​​​Video:

• what is division?

​Practice: ​​

• Basic multi-digit division
• ​Dividing fractions
• Dividing decimals: hundredths

        INTEGERS: Add
​
​​Video:

• ​Understanding zero pairs
• what are the rules for using absolute values to add integers?

​Practice: ​

• ​​Adding negative numbers
• Adding negative numbers on the number line

    INTEGERS: Subtract
​
​​Video:

• Understanding zero pairs
• how do you rewrite subtraction as addition?

​Practice: ​

• Understand subtraction as adding the opposite
• Subtracting negative numbers

               INTEGERS:
​       Multiply/Divide
​​Video:

• how do you multiply and divide numbers with different signs?

​Practice: 

• Multiplying negative numbers
• Dividing negative numbers

        DISTRIBUTION
​​Video:

• what is the distributive property?
• how do you use the distributive property to simplify an expression?

​Practice: ​

• Distributive property with variables
  
• Create equivalent expressions by factoring
• Distributive property with variables (negative numbers)
• Equivalent expressions: negative numbers & distribution

 COMBINE LIKE TERMS
​​​​Video:

• what are like terms?
• what's a coefficient?
• what is a constant?
• how do you add like terms?
• how do you subtract like terms?

​Practice: ​​

• Combining like terms
• ​Equivalent expressions

Writing EXPRESSIONS
​​​Video:

• how do you translate a phrase with one variable and number into a mathematical expression?
• how do you turn a longer verbal phrase into an algebraic expression?

​Practice: ​​

• Writing basic expressions with variables
• Writing expressions with variables

                 Solving
​   One-Step Equations
​
​​Video: (youtube)

• Solving one-step Equations
• Linear equations 1

​Practice: ​

• One-step addition & subtraction equations
• One-step multiplication & division equations
• ​​One-step addition & subtraction equations: fractions & decimals
• One-step multiplication & division equations: fractions & decimals

                 Solving
​   Two-Step Equations
​
​​​Video:

• how do you solve a two-step equation?

​Practice: ​​

• Two-Step Equations

    Solving Equations    
        with Variables
         on both Sides
​​​Video:

• how do you solve an equation with variables on both sides?

​Practice: ​​

• Equations with variables on both sides

NUMBER CATEGORIES
​​​Video:

• how do different categories of numbers compare to each other?​

​Practice: ​​

• ​Classify numbers

        EXPONENTS 1
​​​Video:
- what are exponents?
- how do you convert a number in expanded form into exponential form?
- how do you convert a number in exponential form into expanded form?
​- what do you do with a zero exponent?
- what do you do with a negative exponent?
​Practice: ​​

• Exponents (basic)
• Powers of fractions
• ​Negative exponents

      EXPONENTS 2
​​​Video:
- what's the product of powers rule?
- what's the quotient of powers rule?
- what's the power of a power rule?
- how do you take a monomial to a power?
​Practice: ​​​

• Multiply powers
• Divide powers
• Powers of powers
• Powers of products & quotients​​

 SCIENTIFIC NOTATION

​
​​Video:

• what's scientific notation?
• how do you convert from decimal notation to scientific notation?

​​Practice: ​

• Scientific notation
• Scientific notation word problems
  

CONVERT REPEATING 
         DECIMAL INTO
​           FRACTION
​​​​Video:

• how do you turn a repeating decimal into a fraction (easy)?
• how do you turn a repeating decimal into a fraction (hard)?

​Practice: ​​

• Converting repeating decimals to fractions
• Converting multi-digit repeating decimals to fractions

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               MORE BELOW

        DISTRIBUTION
​​Video:

• what is the distributive property?
• how do you use the distributive property to simplify an expression?

​Practice: ​

• Distributive property with variables
  
• Create equivalent expressions by factoring
• Distributive property with variables (negative numbers)
• Equivalent expressions: negative numbers & distribution

 COMBINE LIKE TERMS
​​​​Video:

• what are like terms?
• what's a coefficient?
• what is a constant?
• how do you add like terms?
• how do you subtract like terms?

​Practice: ​​

• Combining like terms
• ​Equivalent expressions

Writing EXPRESSIONS
​​​Video:

• how do you translate a phrase with one variable and number into a mathematical expression?
• how do you turn a longer verbal phrase into an algebraic expression?

​Practice: ​​

• Writing basic expressions with variables
• Writing expressions with variables

                 Solving
​   One-Step Equations
​
​​Video: (youtube)

• Solving one-step Equations
• Linear equations 1

​Practice: ​

• One-step addition & subtraction equations
• One-step multiplication & division equations
• ​​One-step addition & subtraction equations: fractions & decimals
• One-step multiplication & division equations: fractions & decimals

                 Solving
​   Two-Step Equations
​
​​​Video:

• how do you solve a two-step equation?

​Practice: ​​

• Two-Step Equations

    Solving Equations    
        with Variables
         on both Sides
​​​Video:

• how do you solve an equation with variables on both sides?

​Practice: ​​

• Equations with variables on both sides

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                     REGULAR 7th
              FACE TO FACE CLASS
                       Thursday - November 19
DIRECTIONS:

1. Do them in order
2. When it asks for your name: Put your REAL NAME & Period 
3. This will be graded – Submit when it asks you to.
4. Due them in order.

Nearpod - Just COPY the code and put it in.

1. Proportions – CODE: R7EQF
2. Scale Drawing – CODE: QRYKV
3. Using Scale Drawings to Find Length – CODE: 5H9T4
4. Proportional Relationships – CODE: DKR2S
5. Solving Problems with Proportions – CODE: 84ASH

        ADVANCED 7th & 8th Grade
             FACE TO FACE CLASS
                       Thursday - November 19
DIRECTIONS:

1. Do them in order
2. When it asks for your name: Put your REAL NAME & Period ​
3. This will be graded – Submit when it asks you to.
4. Due them in order.

Nearpod - Just COPY the code and put it in.

1. Volume of Cylinders, Cones & Spheres (Ignore SURFACE AREA, you don’t need at this time) – CODE: 9YD2F
2. Finding the Volume of Cones – CODE: KCQDF
3. Develop and Apply the Formula for Volume of a Sphere (YES, you can use the formula that you have learned, they ARE the same thing) Volume of a Sphere & Cylinder (Connection) – CODE: ECQTL
4. Solve Real World Problems by Finding Volume of Spheres – CODE: WZUJ6

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MATH:
Videos: Virtual Nerd
Videos (Khan):  6th, 7th, 8th, Algebra​, Functions
Videos: Mathantics
​Words for Word Problems
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