1. Chapter 5 Expressions (part 3)

2. Day….. Translating Written Expressions Writing Numerical Expressions
Writing Algebraic Expressions
Unit Summary
End of Unit Assessment

3. Day 1

4. Bell Work
Directions: Simplify the following expressions. Show all of your work!
5x(3y – 2w) - 18xy + 9w - 11xw + 7w
12( 13 – 8)
19a – 12c + 11𝑎 a + 19c
8e – e - 4f + 37f + 23
6m – 12p + 4p + 9m when: m = 7 and p = 6
11k 𝑗 + 7k – 4j when: k = 3 and j = 8

5. Vocabulary Algebraic Expressions -
A combination of variables, numbers, and at least one operation.
Equivalent Expressions-
Expressions that have the same value.
Equation -
A mathematical statement indicating quantities are equivalent
Evaluate-
To find the value of an algebraic expression by replacing variables with a given quantity.
Inequality -
Mathematical statement indicating quantities are not equivalent
Numerical Expression -
A combination of numbers and operations.
Translate -
To change from one form or language to another.

6. Properties
Commutative- states that the order in which numbers are added or multiplied does not change the sum or product.
Ex: 4+3=7 or 3+4=7
Associative- states that the way in which numbers are grouped does not change the sum or product.
Ex: 1 + (2+3) = 6 or (1+2) +3= 6
Identity- states that any number added to 0 or multiplied by 1 will be itself.
Ex: = 6 or 4 x 1 = 4
Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.
Ex: 4(2 + 3) = 8 +12

7. I Can….
Identify key terms for addition, subtraction, multiplication, and division.

8. Key Terms for Addition Increased + Added + Combine + Plus + And +
Climbed +
Rose +
Together +
Sum ( + )
Average ( + ) then ÷

9. Key Terms for Subtraction
Subtracted -
Decreased –
Reduced -
Minus -
Less -
Lower -
Dropped -
Difference ( - )

10. Key Terms for Multiplication
Times x
Each x
Of x
Multiply x
Half x½
Double x2
Twice x2
Triple x3
Product ( x )

11. Example: 18 ÷ 3 will be written as 𝟏𝟖 𝟑
Key Terms for Division
Divided ÷
Shared ÷
Cut ÷
Split ÷
Ratio of ÷
Quotient ( ÷ )
*****Remember division is written in fraction form in algebra*****
Example: 18 ÷ 3 will be written as 𝟏𝟖 𝟑

12. Key Terms for Exponents
Squared 𝑥 2
Cubed 𝒙 𝟑
To the fourth power 𝒙 𝟒
To the fifth power 𝒙 𝟓
Etc.….

13. Key Terms for Order Than switch Sum ( + ) Difference ( - )
Product ( x )
Quotient ( ÷ )
First
Then
Next
Last

14. Key Terms for Equations
Is =
Equals =
Equivalent =

15. Key Terms for Inequalities
Greater than ≥
Less than ≤
Is not equal to ≠

16. Translate written expressions to numerical form.
I Can….
Translate written expressions to numerical form.

17. Verbal Expressions Essential Understanding:
Algebraic word problems are just expressions written in word form. They are used to describe real life situations and to solve real life problems.
Example:
The key to successfully solving an algebraic word problem is to translate the expression from word form to numerical form. To do this, we follow a few very simple steps.
Step 1: Know your vocabulary.
Step 2: Read the problem CAREFULLY.
Step 3: Code the problem.
Step 4: Determine what is know (what numbers are given)
Step 5: Determine what is unknown (what variables are given)
Step 6: Determine what operation(s) to used based on what the question is asking/telling.
Step 7: Translate expression/equation
Step 8: Solve if necessary
Examples:

18. Partner Practice
Clear your desk of everything except for your white board, a marker, an eraser, and the provided page. Quickly and Quietly

19. Expression Show Down Instructions: Players sit back to back.
Each player uses his/her white board to translate the 1st expression on the provided game page.
Once both players have finished, the youngest player yells “Draw” (In an INSIDE voice)
Both players quickly turn and compare answers.
If both players have the same answer, the oldest player records the answer on their answer sheet.
If players do not have the same answer, they must discuss the expression and reach the same conclusion before recording the answer.
Play continues unit all expressions have been translated and recorded or time runs out.
The first 3 teams to correctly translate all 15 expressions will receive a prize.

20. Wrap it Up
Review
Questions
Exit Tickets

21. Day 2

22. Bell Work
Directions: Translate the following expressions to numerical form.
Four more that the difference of six and two.
Fifteen less than the product of nine and a number.
Eleven added to the quotient of thirty six and six.
A number reduced by seven.
The product of nine and number divided by two less than the product ten and number.

23. Homework Check

24. Vocabulary Algebraic Expressions -
A combination of variables, numbers, and at least one operation.
Equivalent Expressions-
Expressions that have the same value.
Equation -
A mathematical statement indicating quantities are equivalent
Evaluate-
To find the value of an algebraic expression by replacing variables with a given quantity.
Inequality -
Mathematical statement indicating quantities are not equivalent
Numerical Expression -
A combination of numbers and operations.
Translate -
To change from one form or language to another.

25. Properties
Commutative- states that the order in which numbers are added or multiplied does not change the sum or product.
Ex: 4+3=7 or 3+4=7
Associative- states that the way in which numbers are grouped does not change the sum or product.
Ex: 1 + (2+3) = 6 or (1+2) +3= 6
Identity- states that any number added to 0 or multiplied by 1 will be itself.
Ex: = 6 or 4 x 1 = 4
Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.
Ex: 4(2 + 3) = 8 +12

26. Translate expressions from word to numerical form.
I Can….
Translate expressions from word to numerical form.

27. Group Work
Today you will practice reading, writing, translating, and solving algebraic word problems.
Clear your desk of everything except for a pencil and a blank sheet of paper.

28. Wrap it Up
Review
Questions
Exit Tickets

29. Day 3

30. Bell Work Fifteen less than eight times ten is _____
Directions: Translate and solve the following algebraic expressions/equations.
Fifteen less than eight times ten is _____
The product of six and five divided by five times two is __________
One hundred fifty more than the difference of eleven times three and thirty.
The sum of a number and seventeen is twenty.
The product of eight and a number is fifty six.
Eight times a number x plus three times a number y minus five times a number y plus eleven times a number x.

31. Homework Check

32. Vocabulary Algebraic Expressions -
A combination of variables, numbers, and at least one operation.
Equivalent Expressions-
Expressions that have the same value.
Equation -
A mathematical statement indicating quantities are equivalent
Evaluate-
To find the value of an algebraic expression by replacing variables with a given quantity.
Inequality -
Mathematical statement indicating quantities are not equivalent
Numerical Expression -
A combination of numbers and operations.
Translate -
To change from one form or language to another.

33. Properties
Commutative- states that the order in which numbers are added or multiplied does not change the sum or product.
Ex: 4+3=7 or 3+4=7
Associative- states that the way in which numbers are grouped does not change the sum or product.
Ex: 1 + (2+3) = 6 or (1+2) +3= 6
Identity- states that any number added to 0 or multiplied by 1 will be itself.
Ex: = 6 or 4 x 1 = 4
Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.
Ex: 4(2 + 3) = 8 +12

34. Translate numerical expressions to word form.
I Can….
Translate numerical expressions to word form.

35. Translating Expressions to Word Form
Essential Understanding:
Translating expressions from numerical to word form is quite simple……..if you know your vocabulary.  You simply write it like you see it. The tricky part is being creative.
Examples:
2 + 3 two plus three, three more than two, two increased by three, etc…
14 - 7
8x + 7
(5+7) – 9
7x + 5y + 9y – 8x +11x

36. Your Turn….
Please clear your desk of everything except your white board and white board supplies.

37. Wrap it Up
Review
Questions
Exit Tickets

38. Day 4

39. Bell Work
Directions: Translate the following expressions into word form.
= 27
8x + 4
(7 * 3) – 6x
7x +3 = 45

40. Homework Check

41. Vocabulary Algebraic Expressions -
A combination of variables, numbers, and at least one operation.
Equivalent Expressions-
Expressions that have the same value.
Equation -
A mathematical statement indicating quantities are equivalent
Evaluate-
To find the value of an algebraic expression by replacing variables with a given quantity.
Inequality -
Mathematical statement indicating quantities are not equivalent
Numerical Expression -
A combination of numbers and operations.
Translate -
To change from one form or language to another.

42. Properties
Commutative- states that the order in which numbers are added or multiplied does not change the sum or product.
Ex: 4+3=7 or 3+4=7
Associative- states that the way in which numbers are grouped does not change the sum or product.
Ex: 1 + (2+3) = 6 or (1+2) +3= 6
Identity- states that any number added to 0 or multiplied by 1 will be itself.
Ex: = 6 or 4 x 1 = 4
Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.
Ex: 4(2 + 3) = 8 +12

43. Solve, evaluate, simplify, and translate expressions.
I Can….
Solve, evaluate, simplify, and translate expressions.

44. Chapter Summary
Please clear your desk of everything except for a pencil and the provided cloze notes.

45. Write the Room
Please pack up everything except for a pencil, a calculator, and a blank piece of paper.

46. Wrap it Up
Review
Questions
Exit Tickets

47. Day 5

48. Bell Work
Directions: Silently study your notes and vocabulary. Think of any questions you may have before we begin the assessment.

49. Homework Check

50. Vocabulary Algebraic Expressions -
A combination of variables, numbers, and at least one operation.
Equivalent Expressions-
Expressions that have the same value.
Equation -
A mathematical statement indicating quantities are equivalent
Evaluate-
To find the value of an algebraic expression by replacing variables with a given quantity.
Inequality -
Mathematical statement indicating quantities are not equivalent
Numerical Expression -
A combination of numbers and operations.
Translate -
To change from one form or language to another.

51. Properties
Commutative- states that the order in which numbers are added or multiplied does not change the sum or product.
Ex: 4+3=7 or 3+4=7
Associative- states that the way in which numbers are grouped does not change the sum or product.
Ex: 1 + (2+3) = 6 or (1+2) +3= 6
Identity- states that any number added to 0 or multiplied by 1 will be itself.
Ex: = 6 or 4 x 1 = 4
Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.
Ex: 4(2 + 3) = 8 +12

52. Simplify, solve, evaluate, and translate expressions and equations.
I Can….
Simplify, solve, evaluate, and translate expressions and equations.

53. End of Unit Assessment
Please clear your desk of everything except for a pencil and a calculator.

54. Wrap it Up
Review
Questions
Exit Tickets