ms. drake 7th grade math number theory lesson 15 variables and algebraic expressions
TRANSCRIPT
![Page 1: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/1.jpg)
Ms. Drake 7th grade Math
Number TheoryLesson 15
Variables and Algebraic Expressions
![Page 2: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/2.jpg)
Week by Week Essentials Week 4
![Page 3: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/3.jpg)
Number TheoryAddition Property of EqualityAlgebraic ExpressionBaseCoefficientComposite Number ConstantDivision Property of EqualityEquation
![Page 4: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/4.jpg)
EvaluateExponentGreatest Common Factor (GFC)Inverse OperationsIsolate the VariableLeast Common Multiple (LCM)Like Terms
Number Theory
![Page 5: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/5.jpg)
Number TheoryMultipleMultiplication Property of EqualityNumerical ExpressionOrder of OperationsPowerPrime FactorizationPrime NumberScientific NotationSolution
![Page 6: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/6.jpg)
Number Theory
SolveStandard FormSubtraction Property Of EqualityTermVariableVerbal Expression
![Page 7: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/7.jpg)
Algebraic Expression: an expression that contains
at least one variable.Example:
3 + x5(b-2)
Variables and Algebraic Expressions
![Page 8: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/8.jpg)
Evaluate: to find the value of a numerical or algebraic
expression.
Variables and Algebraic Expressions
![Page 9: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/9.jpg)
Constant: stays the sameA value that does not change.
2 always represents the value 2
5 always represents the value 5
Variables and Algebraic Expressions
![Page 10: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/10.jpg)
What are examples of quantities that are
constant?
The year you were born…
The number of hours in a day…
![Page 11: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/11.jpg)
Variables and Algebraic Expressions
Variable: varies- is not the same
A letter that takes the place of an unknown number or
numbers.
A symbol used to represent a quantity that can change.
![Page 12: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/12.jpg)
What are some examples of quantities that vary?
The price of gasoline…
Temperatures….
![Page 13: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/13.jpg)
Abdul entered a walk-a-thon for a local charity. His
sponsor provided the $20 entry fee and will provide $4
for each mile he walks.
How can we find out how much money Abdul could help
raise
![Page 14: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/14.jpg)
Make a table to display the information
How would we write the expression if the number of miles walked is replaced by
the variable m?
![Page 15: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/15.jpg)
Miles Walked Expression Amount 1 20 + 4(1) 24 5 20 + 4(5) 40
If Abdul walked 13 miles, how much would he earn for
charity?
![Page 16: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/16.jpg)
What if Abdul wanted to earn $100 for charity? How many miles must he walk?
![Page 17: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/17.jpg)
![Page 18: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/18.jpg)
Evaluate each expressions for the given value of the
variable.
3x – 2 for x = 5
… for x = 7
![Page 19: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/19.jpg)
28
![Page 20: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/20.jpg)
![Page 21: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/21.jpg)
Evaluate an algebraic expression with two
variables.
![Page 22: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/22.jpg)
…Until next time solve this magic square with a partner.In a magic square each row,
column and diagonal will have the same sum.
![Page 23: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/23.jpg)
Evaluate for x = 4 x = 6 and x = 0.
Which solutions are true?
![Page 24: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/24.jpg)
This is a magic square only if after you solve each
expression, the sums of the solutions in each row, column and diagonal are the same.
![Page 25: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/25.jpg)
7+4 11
4 4
2(4)+1 9
4+2 6
0.5(4)+6 8
4+6 10
3(4)-5 7
3(4) 12
4+1 5
24 24
24
24
24
24
24
24
![Page 26: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/26.jpg)
6+6 12
6 6
2(6)+1 13
6+2 8
0.5(6)+6 9
6+6 12
3(6)-5 13
3(6) 18
6+1 7
33 32
38
33
29
31
35
28
Six is not a solution.
![Page 27: Ms. Drake 7th grade Math Number Theory Lesson 15 Variables and Algebraic Expressions](https://reader030.vdocuments.mx/reader030/viewer/2022032606/56649eb65503460f94bbef7b/html5/thumbnails/27.jpg)
7+0 7
0 0
2(0)+1 1
0+2 6
0.5(0)+6 6
0+6 6
3(0)-5 -5
3(0) 0
0+1 1
8 8
-4
6
24
8
2
14
Zero is not a solution