# Middle School and Junior High Math Milestones

### Sixth Grade Students will be able to:

- master four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative integers
- solve one and two step word problems
- analyze data
- understand mean, median, and mode, and how to calculate range
- understand ratios and proportions
- understand pi and the formulas for the circumference and area of a circle
- solve one-step linear equations
- determine the discount price and sales price
- choose and use appropriate problem solving strategies

### Seventh Grade Students will be able to:

- understand how to manipulate numbers and equations and how its principles work
- understand the Pythagorean theorem
- compute the surface area and volume based on three-dimensional objects
- understand fractional numbers (fractions, percents, and decimals)
- solve word problems involving customary and metric measurement
- solve simple interest problems using amount times rate times time
- solve word problems involving distance, rate, and time
- graph linear functions and understand the idea of slope and its relation to ratio
- add and subtract fractions to find common denominators
- use logic to solve problems
- choose and use appropriate problem solving strategies

### Eighth Grade Students will be able to:

- understands the rules of exponents
- solve equations and inequalities involving absolute value
- simplify expressions before solving linear equations and inequalities in one variable (e.g., 3(2x-5) + 4(x-2) = 12
- add, subtract, multiply, and divide monomials and polynomials
- simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to lowest terms
- solve quadratic equations
- calculate unit rates or the unit cost using a proportion
- graph quadratic functions and knows the roots are the x-intercept
- understand geometric terms, such as axioms, theorems, and inductive and deductive reasoning
- prove triangles are congruent or similar

*This information has been adapted from the California State Board of Education’s web site and was adopted by the California State Board of Education, December 1997.*