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Student Performance Outcomes:

A4 – Students should be able to demonstrate an understanding of the interrelationships of subsets of real numbers.

A5 – Students should be able to compare and order real numbers.

A2 – Students should be able to graph, and write in symbols and in words, the solution set for equations and inequalities involving integers and other real numbers.

B1 – Students will be able to model, solve, and create problems involving real numbers.

B2 – Students will be able to add, subtract, multiply and divide rational numbers in fractional and decimal forms, using the most appropriate method.

B3 – Apply the order of operations in rational number computations.

A6 – Represent problem situations using matrices.

B7 – Model, solve, and create problems involving the matrix operations of addition, subtraction and scalar multiplication.

To be successful in mathematics, students should have facility with integers, fractions, decimals, and percents. In this unit, these basic concepts are used to develop operations with rational numbers and matrices.

In this unit:
- Students develop their concept of rational number as a fraction with numerator and denominator as integers.
- Students represent rational numbers on a number line.
- Students write rational numbers in both decimal and fractional form.
- Students use the rules for integers and fractions to develop the rules for performing basic operations with rational numbers.
- Students use rational numbers in a variety of real-life problems.
- Students identify the basic properties of a matrix.
- Students use matrices to represent real-life situations.

By the end of this unit, students should be able to:

- Order rational numbers on a number line.
- Round rational numbers to the nearest integer.
- Convert rational numbers between fractional and decimal forms.
- Add, subtract, multiply, divide, and use the order of operations with rational numbers.
- Represent numbers given in a rectangular array in matrix form.
- Add and subtract matrices with the same dimensions.
- Multiply the entries in a matrix by a scalar.
- Discuss the advantages and disadvantages of a mathematical model to solve a problem.
- Represent the results of a simulation in a table and on a graph.