Note: All objectives allow for the use of a calculator unless otherwise noted.
821 Fractions and decimals
Students will be able to perform the following operations without a calculator:

Simplify fractions

Change improper fractions to mixed numbers, and back again

Add, subtract, multiply and divide rational numbers
Students will be able to:

Change a fraction to a decimal and a percent and back again

Know the proper situations in which to use a fraction, decimal or percent
822 Number Theory
Students will be able to:

Identify prime and composite numbers

Differentiate between a “term” and a “factor” and “multiples”

Decompose a number into its prime factors

Identify a greatest common factor (GCF) and use to factor simple polynomials

Use inequality symbols correctly

Interpret the meaning of scientific notation with whole number powers of 10
823 Expressions
Students will be able to perform the following calculations without a calculator:

Add, subtract, multiply and divide expressions containing numbers and variables

Estimate irrational roots

Simplify perfect root radicals containing numbers and variables ( e.g., cube root of x^{3}; √(x^{2}y^{4}))
Students will be able to:

Apply associative, commutative, and distributive properties to algebraic expressions

Simplify algebraic expressions using the Order of Operations

Combine like terms

Simplify expressions with positive exponents

Add and subtract polynomials

Multiply binomials
824 Percents and Ratios
Students will be able to:

Calculate and estimate percents (finding the percent, finding the part, finding the whole)

Solve proportions (especially intuitively) in contexts involving percents.

Use benchmarks to estimate the magnitude of numbers
824 Equations, Inequalities and Graphs

Solve simple linear equations with one variable, including those with simple fractions (e.g. x/5 + 9 = 4/7 + 2x)

Graph a linear equation given the equation or a table

Identify ordered pairs that solve a linear equation given a graph, a table or an equation

Find the slope of a line given points on the line or a graph

Understand that a linear function can be represented in multiple ways (e.g., graph, table, equation)

Graph the solution to a linear inequality with one variable on a number line
825 General Mathematical Skills

Estimate and determine if an answer is reasonable and justify reasoning

Apply the concepts listed above to simple contextual situations

Use the TI–83 calculator to perform calculations

Organize and update a math portfolio as directed in the portfolio guide