Math Notes for June 1

Here is a math game on expressions

Here is a video:

Equations

Equations -
          mathematical statement with two expressions that have the same value. e.g.

- Model 8 times a number plus 4 = 12 in a mathematical statement









you have to know:

 examples of equations:

here is a link that might helphttp://www.math-videos-online.com/solving-equations-games.html

                                             

Equations

Equations - mathematical statement with 2 expressions that have the same value
eg : x+2=3 , y-7 = (-4) , 3a-2 = 9+2 , b=4

Model 8 times a number plus 4 is 12
8n+4 = 12

Identify : 5y-6 = 19
variable = y
numerical coefficient = 5
constant = 6




Opposite Operations
+, -
x , ÷
- , +
÷ , x

a+1 = 3
a+1-1 = 3-1
a = 2

Sub
a+1 = 3
2+1 = 3
3=3



Reverse order of operation

4c-3 = 17
4c-3+3=17+3
4c÷4 = 20÷4
c = 5

Sub
4c-3=17

4(5)-3=17
20-3=17
17=17

here is a game on sovling algebra equations!

here is a video on solving an algebra equation.

Patterns and Expressions Definitions

For example: x, 4, n

For example: 8, y+5, 6y-1

For example: in 3y+ 1=13. The 1 is the constant

For example, in 3y + 1= 13. The 3 is the numerical coefficient

Here’s a video and link to help you more with Patterns and Expressions.

opposite operations

Today in class we talked about Equation

Equation-mathematical statement with two expressions that have the same value

Example: x+2=3 y-7=(-4) 3a-2=a+2 b=4

Question:Can you model 8 times a number plus 4 is 12?

Answer: (8n+4=12)

5y-6=19

Find the:

variable

numerical coefficient

constant

Answer:

Variable: The variable is the Y

Numerical coefficient: The numerical coefficient is the 5

Constant: The constant is the 6

Question:How would you write this picture in a expression?

Answer: c+(-3)=(-6)

Opposite Operation

+,-

x,/

-,+

/,x

What is the letter a?

a+1=3

a+1-1=3-1

+1-1=zero pair 3-1+2

a=2

Sub:

a+1=3

2+1=3

3=3

Reverse order of operation:

4c-3=17

4c-3+3=17+3

4c/4 =20/4

C=5

Sub:

4c-3=17

4(5)-3=17

20-3=17

17=17

This is what we did in class to day

Here is a video to help

Equation

Equation- mathematical statement with two expression that have the same value

Eg.

Model: 8 times a number plus 4 is 12 8n+4=12

5y-6=19

numerical coefficient =5

variable =5

constant =6

C+(-3)=(-6) Brackets in this equation is use to reduce confusion.

Opposite Operations

A+1=3

A+1-1=3-1

A=2

Sub A+1=3

2+1=3

3=3

reverse order of operation

4c-4=17

4c-3+3=17+3

4c=20

4c÷4=20÷4

c=5

sub 4c-3=17

4(5)-3=17

20-3=17

17=17

Here is a website of equations

Here is a video of solving algebra equations.

Patterns and Expressions Definition

Patterns are arrangements of shapes, colors, numbers, letters, words, and etc. for which you can predict which comes next.

Variable - a letter that represents an unknown number.
eg : x, A, n

Expressions - any single number or variable, or combination of operations ( +, -, x, / ) involving numbers. eg : 5, r, 8t, x+9, 2y, -7

Value - a known or calculated amount

Constant - a number that does not change. Increase or decrease that value of an expression.

Numerical Coefficient - a number that multiples the variable





Linear Relation - a pattern made by two sets of numbers that results in points along a straight line on a coordinate grid
eg :


Graph - a visual way to show how two sets of numbers relate to each other

Relationship - a pattern formed by two sets of numbers

Math game on graphing linear relations

Video :