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UNIT ESSENTIAL QUESTION
How are number properties andExpressions used to represent
situationsAnd relationships?
Unit one : EXPRESSIONS AND NUMBER
PROPERTIES
Evaluating algebraic expressions
Lesson 1-1Lesson 1-2
LESSON ESSENTIAL QUESTION
How can you write and evaluate anExpression that represents a real lifeProblem?
VOCABULARYNUMERICAL EXPRESSION– an expression that contains only numbers and operations symbols.
Ex. 7 + 24 – 3 (5 -2)
VOCABULARY
ALGEBRAIC EXPRESSION– an expression that contains Operation symbols and one or more variables.
Ex. 5 + 2n – 3y
VOCABULARY
EVALUATE – to substitute a number for a variable.
Ex. 3 + 5y – 2c y = 3 and c = 2
VOCABULARY
VARIABLE- A symbol usually a letter used to represent a number.
In addition to the symbol x, the other ways to showMultiplication are :
MAIN IDEA DETAIL NOTES
STEP 1: SIMPLIFY INSIDE GROUPING SYMBOLS
ORDER OF OPERATIONS
STEP 2: EVALUATE POWERS
STEP 3: MULTIPLY AND DIVIDE LEFT TO RIGHT
STEP 4: ADD AND SUBTRACT LEFT TO RIGHT
Use PEMDAS to remember order of operations
P: parentheses E: exponents M: multiply D: divide A: add S: subtract
EXAMPLES
EXAMPLES
EXAMPLES
Write and solve an expression to find the total costof planting flowers in a garden. The packs of flowers Cost $4 per pack and we need 5 packs of flowers. TheBag of dirt cost $3 per bag and we need 1 bag. The Bottle of fertilizer cost $4 per bottle and we need 1Bottle of fertilizer.
EXAMPLESWORDS COST
OF 5 FLOWER PACKS
PLUS
COST OF DIRT
PLUS COST OF FERTILIZER
EXPRESSION 5 x $4 + $3 + $4
5 X $4 + $3 + $4 $20 + $3 + $4$23 + $4$27 total cost for planting flowers in the garden
Write and solve an expression to find the total cost ofPlanting flowers and buying a shovel. We need 6 packs Of flowers for $5 per pack, 2 bags of dirt for a price of$2 per bag, a bottle of fertilizer for $3.99 and a shovelFor $16.
Evaluating Algebraic Expressions
Step one: write the expression Step two: substitute the value for the variables Step three: simplify inside grouping symbols Step four: evaluate powers Step five: multiply and divide left to right Step six: add and subtract left to right
EXAMPLES
EXAMPLES
EXAMPLES
Homework Time