Unit Plan- Operations with Rational Numbers

Grade: 7 | Content Area: Math | Course Name: Pre Algebra |

Unit: 3 | Description of Course: During this unit students will use the distributive property and order of operations to generate and evaluation expressions. | Approximate Time Needed: 15-20 days |

Learning Targets | Assessments | Instructional Considerations | Instructional Approach | Resources |

3.1 I can use the distributive property. 3.2 I can use the order of operations. 3.3 I can identify and use exponents. 3.4 I can use variables appropriately. 3.5 I can simplify variable expressions. 3.6 I can write and evaluate variable expressions.
| Pre-Assessments: (none yet) Formative Assessments: Practice Exercises in lessons Benchmark Assessment: (none yet) | Student Background Knowledge: The students must have an understanding of how to recognize a rational number and how to add, subtract, multiply and divide Essential Questions: 1. What is the distributive property? 2. How would you describe the order of operations? 3. How can I use algebraic expressions to represent real world situations? 4. How do I simplify variable expressions? 5. How can I show repeated multiplication as an exponent? Academic Language: arrange combine identify integer whole number Content Specific Language: Listed below | Cross-Content Integration: science fine arts physical education social studies | Web Resources: Research: ck 12 Technology Resources: Khan Academy Math Playground James Sousa ck12 Community Resources: (none) |

Content Specific Language:

Base- The base is the big number in a variable expression with an exponent.

Distributive Property- The distributive property of multiplication is the property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. a(b + c) = (a x b) + (a x c)

Equation- An equation is a number sentence that compares two quantities that are the same. It has an equals sign in it and may be written as a question requiring a solution.

Evaluate- To evaluate means to “find the value of”. We find the value of an expression.

Expanded Form- Writing a number in expanded form is when you remove the exponent from a base and write out the expression using repeated multiplication.

Exponent- An exponent is a number that shows how many times the base is used as a factor.

Exponential Notation- Exponential notation is writing multiplication using a base and an exponent.

Expression- An expression is a mathematical phrase, which contains numbers, variables, and operations.

Expression- An expression is a number sentence with operations and no equals sign.

Grouping Symbols- Grouping symbols are parentheses or brackets. Operations in parentheses are completed first according to the order of operations.

Like Terms- Like terms are terms with the same variable(s), raised to the same power(s).

Numerical Expression- A numerical expression contains only numbers and one or more operational symbols.

Operation- Operations refer to addition, multiplication, subtraction, or division. They can also be much more complex like an exponent or square root.

Order of Operations- The order of operations is the order that you perform operations when there is more than one in an expression or equation.

P - parentheses

E - exponents

MD - multiplication/division in order from left to right

AS - addition and subtraction in order from left to right

Parentheses- Parentheses are used as grouping symbols. They indicate which operations should be done first.

Power- A power is any expression in the form The power is also used to refer to the exponent.

Simplify- To simplify means to make smaller or simpler with as few terms as possible.

Term- A term is a number, a variable, or the product of a number and a variable.

Variable Expression- A variable expression has variables, numbers, operations and sometimes exponents in it.

Variable- A variable is a symbol, usually an English letter, written to replace an unknown or changing quantity.