Mississippi College- and Career-Readiness Standards for Mathematics 7.EE.3: Solve multi-step real-life and mathematical problems posed 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 in any form; convert between forms as appropriate; and assess the reasonableness of answers 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 ¾ inches long in the center of a door that is 27 ½ inches wide, you will need to place the bar about 9 inches from each edge; this estimation can be used as a check on the exact computation. Course Emphases: Major Content Supporting Content Additional Content Prerequisite Skills Write, read, and evaluate expressions in which letters stand for numbers. (6.EE.2) Write expressions that record operations with numbers and with letters standing for numbers. (6.EE.2a) 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. (6.EE.2b) Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. (6.EE.5) Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers. (6.EE.7) Key Terms (vocabulary) Definition Student-friendly language Multi-step problem One that takes several steps to solve. Rational numbers A number expressible in the form −𝑎 𝑎 𝑎 𝑏 Several steps A fraction of two integers or for some fraction . The 𝑏 𝑏 rational numbers include the integers. Whole number The numbers 0, 1, 2, 3, … Fraction A number expressible in the form 𝑏 where a is a whole number and b is a positive whole numbers. Share or portion Decimal Relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten. Based on the number 10: expressed in or utilizing a decimal system especially with a decimal point Numbers ≥ 0 𝑎 Tool A device or implement used to carry out a particular function. Something used in performing an operation Properties of Operation Distributive Property, Associative Property, and Commutative Property Algorithms Mental computation The process of carrying out arithmetic calculations without the aid of external devices. Doing the math in your head Estimation A rough calculation of the value, number, quantity, or extent of something. Approximation Raise Increase the amount, level, or strength of. Increase, more Salary A fixed regular payment, typically paid on a monthly or biweekly basis but often expressed as an annual sum, made by an employer to an employee, especially a professional or white-collar worker. What you get paid for work Additional Added, extra, or supplementary to what is already present or available. More than the base Key Verbs (skills) Definition Student-friendly language Solve Find an answer to, explanation for, or means of effectively dealing with a problem. Find an answer or solution Use Take, hold, or deploy as a means of accomplishing a purpose or achieving a result; employ. Application Apply The act of putting to a special use or purpose. Put to use Calculate Determine the amount or number of something mathematically. Work out Convert A change in the form of a measurement, different units, without a change in the size or amount. Alter Assess A change in the form of a measurement, different units, without a change in the size or amount. Gauge “I Can” statements in student-friendly language I can solve multi-step real-life and mathematical problems with positive and negative rational numbers in a variety of forms. I can use tools strategically. I can apply properties of operations to calculate with numbers in variety of forms. I can convert between a varieties of forms as appropriate. I can assess the reasonableness of answers using mental computation and estimation strategies. Essential Questions What steps are critical in solving multi-step real-life problems and mathematical problems? What mathematical operations are necessary to work with positive and negative rational numbers in a variety of forms? What tools are necessary to successfully solve these type problems? How can I assure that answers are reasonable for the problems given using mental calculations and estimations?