Unit+1+Expressions+Honors+7

800.10.30
Write an algebraic expression to represent unknown quantities using one unknown and no more than 3 operations and rational numbers (-1000 to 1000)

800.10.35
Evaluate an algebraic expression using 1 or 2 unknowns and up to 3 operations and rational numbers (-100 to 100)


 * ==7.EE.3==
 * Solve multi step real life and mathematical problems posted with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers of any form; convert between forms as appropriate; and assess the reasonableness of answering using mental computation and estimation strategies. //For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50 for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.//

800.10.40
Evaluate numeric expressions using order of operations with no more than 5 operations including exponents of no more than 3 and using 2 sets of brackets, parentheses, division bar, or absolute value with rational numbers.


 * ==7.NS.1a==
 * Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers: Describe situations in which opposite quantities combine to make 0. //For example, a hydrogen atom as 0 charge because its two constituents are oppositely charged.//

800.10.45
Simplify algebraic expressions by combining like terms using no more than 3 variables with integers (-50 to 50) or proper fractions with denominators as factors of 20 (-20 to 20)


 * ==6.EE.2b==
 * Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. //For example, describe the expression 2(8+7) as a product of two factors; view (8+7) as both a single entity and a sum of two terms.//
 * ==6.EE.4==
 * Identify when two expressions are equivalent (i.e. when the two expressions name the same number regardless of which value is substituted into them). //For example, the expressions y+y+y and 3y are equivalent because they name the same number regardless of which number y stands for. Reason about and solve one-variable equations and inequalities.//

**800.60.15**
Add, subtract, multiply, and divide integers with all operations (-1000 to 1000)
 * [[file:7.NS.1 TASK And the Winner IS.doc]] Football based problem from Howard County.

800.60.30
Use the commutative property of addition or multiplication, associative property of multiplication or addition, additive inverse property, distributive property, or the identity property for one or zero with integers (-100 to 100) to simplify expressions.


 * ==7.NS.1b==
 * Understand p+q as the number located a distance abs(q) plus p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real world contexts.
 * ==7.NS.1c==
 * understand subtraction of rational numbers ans adding the additive inverse, p-q=p+(-q). Show that the distance between two rational numbers on a number line is the absolute value of their difference, and apply this principle in real world contexts.
 * ==7.NS.1d==
 * Apply properties of operations as strategies to add and subtract rational numbers.
 * ==7.NS.2c==
 * Apply properties of operations as strategies to multiply and divide rational numbers.