Warm Up Group the following apples, oranges, & bananas together and write as an algebraic expression. Now in your own words, give a definition for algebraic expression.
Essential Question: How do we translate a word phrase into an algebraic expression or an algebraic expression into a word phrase?
Write the operation (+,-, x, ) that corresponds to each phrase. 1. Divided by 2. Difference 3. More than 4. Product 5. Minus 6. Sum 7. Quotient 8. Multiplied by Note: In order to translate a word phrase into an algebraic expression, we must first know some key word phrases for the basic operations.
Here are some other key words. Addition More than Increase by Greater than Add Total Plus Sum Subtraction Decreased by Difference between Take Away Less Subtract Less than* Subtract from* Multiplication Product Times Multiply Of Twice or double Triple Division Quotient Divide Divided by Split equally
Note: Division expressions should be written using the fraction bar instead of the traditional division sign. Multiplication expressions should be written in side-by-side form, with the number always in front of the variable. 3a 2t 1.5c 0.4f
More Examples: the product of 3 and a number t 3 more than x twice the number x 4.2 times a number e a number t decreased by 4 the difference between 10 and a number y 3 more than x the sum of 10 and a number c a number n increased by 4.5 the number y divided by 2 6 less than a number z
When solving real-world problems, you will need to translate words, or verbal expressions, into algebraic expressions. For Example: Although they are closely related, a Great Dane weighs about 40 times as much as a Chihuahua. What could we use to express the weight of the Great Dane? What does it mean?
Day 2 EQ: How do we interpret parts of an algebraic expression? Standard: MCC9‐12.A.SSE.1a- Interpret parts of an expression, such as terms, factors, and coefficients.
Key Concepts • Expressions are made up of terms. A term is a number, a variable, or the product of a number and variable(s). An addition or subtraction sign separates each term of an expression. • For example: 4x² + 3x + 7, •How many terms do we have?
3x2 Pieces of a term Exponent (the little number above the variable) Coefficient (number in front of the variable) Exponent (the little number above the variable) Variable (the letter) Pieces of a term 3x2
Pieces of a term 3x2 The factors of each term are the numbers or expressions that when multiplied produce a given product.
List the following for the expression 2x² + 6x - 8 Terms Factors Coefficients Constants
List the following for the expression x² + 10x + 25 Terms Factors Coefficients Constants
List the following for the expression 9x² - 6x + 1 Terms Factors Coefficients Constants
List the following for the expression 5x² -14x - 3 Terms Factors Coefficients Constants
List the following for the expression 5x(2x + 3) – 2(x + 7) Terms Factors Coefficients Constants
List the following for the expression (-5m + 5) + 2(-4 + 7m - 4m²) Terms Factors Coefficients Constants