Math Department

High School Resources

High School Math Content Standards

Pre Algebra

Estimation

• Use estimation to check reasonableness of answers or make predictions
• Apply appropriate estimation strategies to problem solving, including integers, fractions, decimals, averages, exponents, square roots, and graphing data

Number Sense

• Compare and order real numbers using <, ², >, ³ and =
• Develop and apply number theory concepts including primes, factors, multiples, LCM, GCF, divisibility, and equivalent fractions
• Apply ratios, proportions and percents in a variety of situations
• Explore other number systems and bases

Concepts of Number Operations

• Understand and use the language of mathematics to set up and solve problems
• Model and describe different problem situations using manipulatives and other representations
• Understand and use properties of real numbers
• Understand and use the properties of equality and inequality
• Use exponential notation including scientific notation

Computation

• Simplify and evaluate expressions using order of operations
• Simplify expressions involving integers, fractions, decimals, percents, and variables
• Select and use appropriate method for computing: mental math, pencil and paper, calculator/computer
• Perform operations with exponents and square roots
• Understand and use absolute value of real numbers

Geometry

• Identify, classify, and compare two-dimensional figures and three-dimensional figures
• Construct and draw models of two-dimensional and three-dimensional figures
• Classify lines, angles, triangles, and quadrilaterals
• Understand and use concepts of congruency, similarity, and symmetry
• Perform transformations including reflections, rotations, and slides
• Use formulas for perimeter and area of circles, triangles, and other polygons
• Use formulas for surface area and volume of three-dimensional figures including spheres
• Use the Pythagorean Theorem
• Use characteristics of polygons to understand tessellations

Measurement

• Measure using standard and metric units and make comparisons of similar units
• Use formulas and develop procedures for measuring area, perimeter, surface area, and volume
• Solve problems involving proportions, figures drawn to scale, and similar figures
• Use formulas involving rate, time, and temperature

Statistics

• Conduct experiments and collect data
• Display data in an appropriate format including table, circle graph, histogram, scatter plot, and line graph
• Analyze data found in graphs, tables, and charts
• Describe data using measures of central tendency (mean, median, mode) and range
• Use data to make and defend conclusions

Probability

• Determine probability of a simple event
• Conduct an experiment and use the data to find the probability of a simple event
• Calculate probabilities for independent events

Patterns

• Explore historic math patterns including primes and Pascal's Triangle
• Analyze a sequence, find a pattern, and express it as a rule
• Recognize visual and numeric problem solving situations

Algebra

• Develop the terminology of algebra
• Apply properties of real numbers to simplify expressions
• Apply properties of equality to solve one and two step equations
• Apply properties of inequality to solve one and two step inequalities
• Organize work and demonstrate all steps in simplifying expressions and solving equations
• Translate verbal expressions and sentences to algebraic expressions, equations, and inequalities
• Create a word problem from a symbolic statement
• Understand and use concepts related to linear equations including slope and intercepts