Mathematics

Unit 1

• Work with radicals and integer exponents, including fractional exponents
• Read and write square root and cube root symbols to represent solutions to equations
• Interpret and write scientific notation to estimate very large or small quantities
• Perform operations with numbers expressed in scientific notation
• Analyze, solve, and graph linear equations in one variable with one solution, no solutions, or an infinite number of solutions
• Graph proportional relationships, interpreting the slope of a graph
• Analyze, graph, and solve pairs of simultaneous linear equations
• Write and solve real world problems leading to two linear equations
• Decide whether two quantities are in a proportional relationship from a graph
• Define slope as vertical change for each unit of horizontal change
• Graph a line, given its slope and a point on the line

Unit 2

• Find the slope of a line given its graph
• Define, evaluate, and compare functions
• Understand that a function assigns exactly one y-value (dependent variable) to each x-value (independent variable)
• Express functions algebraically, graphically, verbally, and numerically
• Know that the equation y = mx + b defines a linear function with a straight line graph
• Identify and give examples of functions that are not linear
• Use functions to model relationships between quantities
• Compare properties of two different functions
• Show the decimal expansion of a rational number
• Know that the decimal expansion of a rational number eventually repeats
• Know that there are numbers that are not rational

Unit 3

• Compare the size of irrational numbers with rational approximations
• Find approximate locations of irrational numbers on a number line
• Estimate the value of irrational number expressions
• Solve real world and mathematical problems with rational numbers using multiple operations
• Investigate patterns of association in bivariate data
• Construct and interpret scatter plots
• Examine and describe patterns of associations between quantities
• Use an equation of a linear model to solve bivariate measurement data problems
• Write and solve equations of linear relationships to make predictions involving bivariate measurement data
• Display frequencies and relative frequencies in a two-way table
• Represent probabilities of compound events with lists, tables, and diagrams

Unit 4

• Find probabilities of compound events using diagrams, tables, lists, or simulations
• Apply the multiplication counting principle to situations with a large number of outcomes
• Understand congruence and similarity of lines, line segments, angles, and figures
• Show properties of rotations, reflections, and translations of lines, line segments, angles, and parallel lines
• Describe effects of dilation, translations, rotations, and reflections of two-dimensional figures using coordinate plane
• Find sums of angles created when parallel lines are cut by a transversal
• Understand and apply the Pythagorean Theorem
• Explain a proof of the Pythagorean Theorem and its converse
• Apply the Pythagorean Theorem to determine unknown side lengths
• Solve real world and mathematical problems involving the Pythagorean Theorem
• Use the Pythagorean Theorem to find distances between points on a coordinate graph
• Know and use the formulas for the volume and surface area of cylinders, cones, spheres, and pyramids
• Solve real world and mathematical problems involving volume and surface area of solid figures