Direct variation: Find the constant of variation

Numbers

• Classify numbers
• Compare rational numbers
• Put rational numbers in order
• Number lines
• Convert between decimals and fractions
• Square roots of perfect squares
• Square roots of fractions and decimals
• Estimate square roots

Operations

• Add, subtract, multiply, and divide integers
• Order of operations with integers
• Evaluate variable expressions involving integers
• Add and subtract rational numbers
• Add and subtract rational numbers: word problems
• Multiply and divide rational numbers
• Multiply and divide rational numbers: word problems
• Order of operations with rational numbers
• Evaluate variable expressions involving rational numbers

Ratios and proportions

• Identify equivalent ratios
• Equivalent ratios: fill in the missing number
• Unit rates
• Unit prices
• Solve proportions
• Solve proportions: word problems
• Scale drawings and scale factors

Percents

• Convert between percents, fractions, and decimals
• Solve percent equations
• Percent word problems
• Percent of change
• Percent of change: word problems

Geometry

• Parts of a circle
• Perimeter
• Area
• Area of compound figures
• Circles: calculate area, circumference, radius, and diameter
• Circles: word problems
• Symmetry
• Interior angles of polygons
• Transversal of parallel lines
• Volume of prisms and pyramids
• Volume of cones and cylinders
• Volume of spheres
• Nets of 3-dimensional figures
• Surface area of prisms and pyramids
• Surface area of cones and cylinders
• Surface area of spheres
• Similar figures: side lengths and angle measures
• Similar triangles and indirect measurement
• Area and perimeter of similar figures
• Similar solids
• Volume and surface area of similar solids
• Perimeter, area, and volume: changes in scale
• Identify reflections, rotations, and translations
• Reflections, rotations, and translations: find the coordinates
• Reflections, rotations, and translations: graph the image
• Dilations and scale factors
• Pythagorean theorem
• Pythagorean theorem: word problems
• Converse of the Pythagorean theorem: is it a right triangle?

Coordinate graphs

• Points on coordinate graphs
• Quadrants and axes
• Distance between two points

Properties

• Properties of addition and multiplication
• Distributive property
• Simplify variable expressions using properties
• Properties of equality

Exponents

• Exponents with integer bases
• Exponents with decimal and fractional bases
• Negative exponents
• Multiplication with exponents
• Division with exponents
• Multiplication and division with exponents
• Power rule
• Simplify expressions involving exponents

Scientific notation

• Convert between standard and scientific notation
• Compare numbers written in scientific notation
• Multiply numbers written in scientific notation
• Divide numbers written in scientific notation

Problem solving

• Word problems: mixed review
• Word problems with money
• Consecutive integer problems
• Rate of travel: word problems
• Weighted averages: word problems

Number sequences

• Identify arithmetic and geometric sequences
• Arithmetic sequences
• Geometric sequences
• Evaluate variable expressions for number sequences
• Write variable expressions for arithmetic sequences
• Write variable expressions for geometric sequences
• Number sequences: mixed review

Variable expressions and equations

• Write variable expressions
• Simplify variable expressions involving like terms and the distributive property
• Write variable equations
• Does x satisfy the equation?
• Solve equations using order of operations

Solve equations

• Model and solve equations using algebra tiles
• Write and solve equations that represent diagrams
• Solve one-step linear equations
• Solve two-step linear equations
• Solve advanced linear equations
• Solve equations with variables on both sides
• Identities and equations with no solutions
• Solve linear equations: word problems
• Solve linear equations: mixed review

Single-variable inequalities

• Graph inequalities
• Write inequalities from graphs
• Identify solutions to inequalities
• Solve one-step linear inequalities: addition and subtraction
• Solve one-step linear inequalities: multiplication and division
• Solve one-step linear inequalities
• Graph solutions to one-step linear inequalities
• Solve two-step linear inequalities
• Graph solutions to two-step linear inequalities
• Solve advanced linear inequalities
• Graph solutions to advanced linear inequalities

Charts and graphs

• Interpret bar graphs, line graphs, and histograms
• Create bar graphs, line graphs, and histograms
• Circle graphs
• Interpret stem-and-leaf plots
• Interpret box-and-whisker plots
• Interpret a scatter plot
• Scatter plots: line of best fit

Relations and functions

• Relations: convert between tables, graphs, mappings, and lists of points
• Identify independent and dependent variables
• Identify functions
• Identify functions: vertical line test
• Complete a function table
• Evaluate function rules I
• Evaluate function rules II
• Graph a function
• Write a function rule: word problems
• Find points on a function graph
• Write a rule for a function table

Direct variation

• Identify proportional relationships
• Find the constant of variation
• Graph a proportional relationship
• Write direct variation equations
• Write and solve direct variation equations

Linear functions

• Identify linear functions
• Find the slope of a graph
• Find slope from two points
• Slope-intercept form: find slope and y-intercept
• Slope-intercept form: graph an equation
• Slope-intercept form: write an equation from a graph
• Slope-intercept form: write an equation
• Linear function word problems
• Write equations in standard form
• Standard form: find x- and y-intercepts
• Standard form: graph an equation
• Equations of horizontal and vertical lines
• Graph a horizontal or vertical line
• Point-slope form: graph an equation
• Point-slope form: write an equation from a graph
• Point-slope form: write an equation
• Slopes of parallel and perpendicular lines
• Write an equation for a parallel or perpendicular line

Systems of linear equations

• Is (x, y) a solution to the system of equations?
• Solve a system of equations by graphing
• Solve a system of equations by graphing: word problems
• Find the number of solutions to a system of equations by graphing

Monomials

• Identify monomials
• Multiply monomials
• Multiply monomials to find area
• Divide monomials
• Multiply and divide monomials
• Powers of monomials

Polynomials

• Polynomial vocabulary
• Model polynomials with algebra tiles
• Add and subtract polynomials using algebra tiles
• Add and subtract polynomials
• Add polynomials to find perimeter
• Multiply a polynomial by a monomial
• Multiply polynomials to find area
• Divide a polynomial by a monomial

Logic

• Identify hypotheses and conclusions
• Counterexamples

Probability

• Theoretical probability
• Experimental probability
• Compound events: find the number of outcomes
• Identify independent and dependent events
• Probability of independent and dependent events

Statistics

• Calculate mean, median, mode, and range
• Interpret charts to find mean, median, mode, and range
• Mean, median, mode, and range: find the missing number
• Quartiles
• Identifying biased samples