Chapter 5 Expressions (part 3). Day….. 1.Translating Written ExpressionsTranslating Written...

Chapter 5

Expressions

(part 3)

Day…..1. Translating Written Expression

s

2. Writing Numerical Expressions

3. Writing Algebraic Expressions

4. Unit Summary

5. End of Unit Assessment

Day 1

Bell WorkDirections: Simplify the following expressions. Show all of your work!

1. 5x(3y – 2w) - 18xy + 9w - 11xw + 7w

2. 12( 13 – 8) + - 87

3. 19a – 12c + - 32a + 19c

4. 8e – 7 + e - 4f + 37f + 23

5. 6m – 12p + 4p + 9m when: m = 7 and p = 6

6. 11k + + 7k – 4j when: k = 3 and j = 8

Vocabulary•

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•

•

•

•

•

A combination of variables, numbers, and at least one operation.

Expressions that have the same value.

Numerical Expression -

Algebraic Expressions -

Translate -

Equivalent Expressions-

Evaluate-

Equation -

To find the value of an algebraic expression by replacing variables with a given quantity.

A combination of numbers and operations.

Mathematical statement indicating quantities are not equivalent

To change from one form or language to another.

Inequality -

A mathematical statement indicating quantities are equivalent

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 + 0 = 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

I Can….

Identify key terms for addition, subtraction,

multiplication, and division.

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

Key Terms for Subtraction

• Subtracted -• Decreased –• Reduced -• Minus -• Less - • Lower - • Dropped -• Difference ( - )

Key Terms for Multiplication

• Times x• Each x• Of x• Multiply x• Half x½ • Double x2• Twice x2• Triple x3• Product ( x )

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

Key Terms for Exponents

• Squared • Cubed • To the fourth power • To the fifth power • Etc.….

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

Key Terms for Equations

• Is =• Equals =• Equivalent =

Key Terms for Inequalities

• Greater than ≥• Less than ≤• Is not equal to ≠

I Can….

Translate written expressions to numerical

form.

Verbal ExpressionsEssential 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:

Partner PracticeClear your desk of everything except for your white board, a marker, an eraser,

and the provided page.

Quickly and Quietly

Expression Show DownInstructions:• 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.

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 2

Bell WorkDirections: Translate the following expressions to numerical form.

1. Four more that the difference of six and two.

2. Fifteen less than the product of nine and a number.

3. Eleven added to the quotient of thirty six and six.

4. A number reduced by seven.

5. The product of nine and number divided by two less than the

product ten and number.

Homework Check

Vocabulary•

•

•

•

•

•

•

A combination of variables, numbers, and at least one operation.

Expressions that have the same value.

Numerical Expression -

Algebraic Expressions -

Translate -

Equivalent Expressions-

Evaluate-

Equation -

To find the value of an algebraic expression by replacing variables with a given quantity.

A combination of numbers and operations.

Mathematical statement indicating quantities are not equivalent

To change from one form or language to another.

Inequality -

A mathematical statement indicating quantities are equivalent

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 + 0 = 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

I Can….

Translate expressions from word to numerical

form.

Group WorkToday 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.

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 3

Bell WorkDirections: Translate and solve the following algebraic expressions/equations.

1. Fifteen less than eight times ten is _____

2. The product of six and five divided by five times two is __________

3. One hundred fifty more than the difference of eleven times three

and thirty.

4. The sum of a number and seventeen is twenty.

5. The product of eight and a number is fifty six.

6. Eight times a number x plus three times a number y minus five

times a number y plus eleven times a number x.

Homework Check

Vocabulary•

•

•

•

•

•

•

A combination of variables, numbers, and at least one operation.

Expressions that have the same value.

Numerical Expression -

Algebraic Expressions -

Translate -

Equivalent Expressions-

Evaluate-

Equation -

To find the value of an algebraic expression by replacing variables with a given quantity.

A combination of numbers and operations.

Mathematical statement indicating quantities are not equivalent

To change from one form or language to another.

Inequality -

A mathematical statement indicating quantities are equivalent

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 + 0 = 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

I Can….

Translate numerical expressions to word form.

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:1. 2 + 3 two plus three, three more than two, two increased by three, etc…

2. 14 - 73. 8x + 74. (5+7) – 95. 7x + 5y + 9y – 8x +11x

Your Turn….

Please clear your desk of everything except your white board and white

board supplies.

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 4

Bell WorkDirections: Translate the following expressions into word form.

1. 12 + 15 = 27

2. 8x + 4

3. + 3

4. (7 * 3) – 6x

5. 7x +3 = 45

Homework Check

Vocabulary•

•

•

•

•

•

•

A combination of variables, numbers, and at least one operation.

Expressions that have the same value.

Numerical Expression -

Algebraic Expressions -

Translate -

Equivalent Expressions-

Evaluate-

Equation -

To find the value of an algebraic expression by replacing variables with a given quantity.

A combination of numbers and operations.

Mathematical statement indicating quantities are not equivalent

To change from one form or language to another.

Inequality -

A mathematical statement indicating quantities are equivalent

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 + 0 = 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

I Can….

Solve, evaluate, simplify, and translate expressions.

Chapter Summary

Please clear your desk of everything except for a pencil and the provided

cloze notes.

Write the Room

Please pack up everything except for a pencil, a calculator, and a blank piece of

paper.

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 5

Bell Work

Directions: Silently study your notes and

vocabulary. Think of any questions you may have

before we begin the assessment.

Homework Check

Vocabulary•

•

•

•

•

•

•

A combination of variables, numbers, and at least one operation.

Expressions that have the same value.

Numerical Expression -

Algebraic Expressions -

Translate -

Equivalent Expressions-

Evaluate-

Equation -

To find the value of an algebraic expression by replacing variables with a given quantity.

A combination of numbers and operations.

Mathematical statement indicating quantities are not equivalent

To change from one form or language to another.

Inequality -

A mathematical statement indicating quantities are equivalent

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 + 0 = 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

I Can….

Simplify, solve, evaluate, and translate expressions

and equations.

End of Unit Assessment

Please clear your desk of everything except for a pencil

and a calculator.

Wrap it Up

• Review

• Questions

• Exit Tickets