Unit Plan- Operations with Rational Numbers
Course Name: Pre Algebra
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
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.
Practice Exercises in lessons
Student Background Knowledge:
The students must have an understanding of how to recognize a rational number and how to add, subtract, multiply and divide
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?
Content Specific Language:
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.