**Unit Description**

The student will solve application problems using proper fractions, improper fractions, and mixed numbers. All student learning outcomes for this unit must be completed without the use of a calculator. Emphasis should be placed on applications throughout the unit. Applications will use U.S. customary units of measurement. All fractions in this unit should be expressed in simplest form, unless otherwise indicated.

**Broad Learning Outcomes**

Upon completion of Unit 1 students will be able to:

1.1 Write, simplify, and compare fractions.

1.2 Perform operations with fractions.

1.3 Solve applications using U.S. customary units of measurement.

**1.1 Write, simplify and compare fractions.**

1.1.1 Express parts of a whole using fraction notation.

1.1.2 Convert between improper fractions and mixed numbers.

1.1.3 Express repeated factors using exponents.

1.1.4 Find the prime factorization of a given number.

1.1.5 Write fractions in simplest form.

1.1.6 Compare two quantities in the form of a ratio or rate in simplest form.

1.1.7 Find the least common multiple (LCM) of two or more whole numbers.

1.1.8 Find the least common denominator (LCD) of two or more fractions.

1.1.9 Determine the relationship (<, >, =) between two fractions with unlike denominators.

**1.2 Perform operations with fractions.**

1.2.1 Add and subtract fractions and mixed numbers with like denominators.

1.2.2 Add and subtract fractions and mixed numbers with unlike denominators.

1.2.3 Multiply fractions and mixed numbers.

1.2.4 Divide fractions and mixed numbers.

1.2.5 Simplify expressions involving fractions using order of operation.

**1.3 Solve application using U.S. customary units of measurement.**