1. Topic-
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Quiz - Systems of Equations
Lesson - Exponent Laws |
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2. Content-
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Quiz:
- The solution of a system of linear equations can be written as an
ordered pair (x,y) in which the values of x and y will solve the system.
- System of linear equations can be solved by graphing, substitution,
or elimination (addition and subtraction).
- The points (x,y) that lie on the graph of each equation are called
the point of intersection of the graph.
- When the lines on the graph of a system of two linear equations
intersect, the system has exactly one solution.
- When the lines on the graph of a system of two linear equations
are parallel, the system has no solutions.
- When the lines on the graph of a system of two linear equations
coincide, the system has an infinite number of solutions.
- The graphing calculator can be used to solve a system of two linear
equations.
- To solve some real-life problems, a system of linear equation is
used. Write the system of equations and then decide which solution
method to use.
Lesson:
- Expression is a word used to designate any symbolic mathematical
phrase that may contain numbers and/or variables.
- Expressions do not contain equal signs.
- Expressions are simplified using the order of operations and the
properties for operations with real numbers, i.e., associative, commutative,
and distributed properties.
- The order of operation is as follows:
- Complete all operations within grouping symbols. If there are grouping
symbols within other grouping symbols, do the innermost operation
first.
- Evaluate all exponential expressions.
- Multiply and/or divide in order from left to right.
- Add and/or subtract in order from left to right.
- Scientific notation is used to represent very large or very small
numbers.
- A number written in scientific notation is the product of two factors:
a decimal greater than or equal to one but less than 10 multiplied
by a power of 10 (e.g., 3.1 x 105 = 310,000 and 3.1 x 10-5 = 0.000031).
- Any real number raised to the zero power is 1. The only exception
to this rule is zero itself.
- Scientific calculators, graphing calculators, and some four-function
calculators follow this rule.
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3. Goals: Aims/Outcomes-
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Assessment #2: Systems of Equations
To review Scientific Notation and gain exposure to the Exponent Laws. |
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4. Objectives-
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Assessment #2:
A.9
The student will solve systems of two linear equations in two variables
both algebraically and graphically and apply these techniques to solve
practical problems. Graphing calculators will be used both as a primary
tool for solution and to confirm an algebraic solution.
Lesson:
A.10 The student will apply the laws of exponents to perform operations
on expressions with integral exponents, using scientific notation
when appropriate. |
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5. Materials and Aids-
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Lined paper
TI-84 Plus Calculators
Overhead
A.10 Table of Exponent Laws
Expressions Graphic
Scientific Notation Graphic
Index Cards
Markers/Crayons |
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6. Procedures/Methods-
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A. Introduction-
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B. Development-
1. Review Expressions - Complete Expressions Graphic
2. Review Scientific Notation - Complete Scientific Notation Graphic
3. Give out the Table of Exponent Laws
4. Give the students 1/2 index cards with holes in them to use as
flash cards
5. The students will make flash cards for the exponent laws |
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C. Practice-
Guided Practice: Puzzle to review Scientific Notation |
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F. Checking for understanding-
Exit Pass - Scientific Notation |
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Closure-
1. The students must complete the Exit Pass in order to leave.
2. HW |
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7. Evaluation-
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1. Independent Practice 3/2 & 3/3
2. Assessment #3: A.10
Even Days (3/4)
Odd Days (3/7) |
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