Objective  Skills 
Number and Operations
Algebra 

Review of 7th Grade Skills 

Operations with Whole Numbers and Decimals   Add, Subtract, Multiply, Divide Whole Numbers and Decimals
 Compare and Order whole numbers and Decimals on a number line
 Properties of Addition and Multiplication

Fractions and Mixed Numbers   Add, Subtract, Multiply, and Divide Mixed Numbers and Fractions with common and not common denominators
 Solve word problems with fractions and Mixed numbers

Rational Numbers   Classify numbers in the real number system
 Understand difference between Rational and Irrational numbers
 Rational Numbers as Decimals
 Understand Irrational Numbers
 Compare and Order Rational Numbers Numbers

Real Numbers   Compare and Order Real Numbers
 Evaluate Square Roots and Cube Roots
 Solve equations using square roots and cube roots

Operations with Integers   Add, Subtract, Multiply, Divide Integers
 Add, Subtract, Multiply, Divide Rational Numbers

Integers and Exponents   Properties of Integer Exponents
 Negative Exponents
 Use powers of 10 to estimate quotients in exponents
 Understand Scientific Notation
 Operations with Numbers in Scientific Notation

Analyze and Solve Linear Equations   Combine Like Terms to Solve Equations
 Solve equations with variables on both sides
 Solve multistep equations
 Equations with No Solutions or Infinitely Many Solutions

Proportional Relationships in Linear Equations   Compare Proportional Relationships
 Connect Proportional Relationships and slope
 Analyze Linear Equations y = mx
 Understand the yintercept of a line
 Analyze Linear Equations y = mx + b

Number and Operations
Algebra 

Functions   Understand relations and functions
 Determine whether a relationship is a function or not
 Connect representations of functions
 Compare linear vs. nonlinear functions
 Define a function using tables and graphs

Functions and Modeling Relationships   Find slope of a line
 Construct functions to model linear relationships
 Intervals of increase and decrease
 Sketch graphs and functions from verbal descriptions

Solve Systems of Linear Equations   Estimate solutions
 Solve systems by graphing
 Solve systems by substitution
 Solve systems by elimination

Geometry
Measurement 

Translations, Reflections, Rotations, Transformations   Understand coordinate plane
 Analyze translations
 Analyze reflections
 Analyze rotations
 Compose transformations

Symmetry and Congruent Figures   Understand Congruent figures
 Angle Measures of Polygons
 Describe dilations
 Understand Similar figures
 Describe lines and transversals

Triangle   Interior and Exterior of a triangle
 AngleAngle Triangle Similarity

Pythagorean Theorem   Understand the Pythagorean theorem
 Understand the converse of the Pythagorean theorem
 Apply Pythagorean theorem to solve problems
 Find distance in the coordinate plane
 Solve equations using pi

Surface Area   Identify solids and skew lines
 Surface Area of 3D Figures

Volume   Find volume of Cylinders, Cones, and Spheres
 Use Pythagorean theorem to find slant height of cone and pyramid to determine a figures height
 Solve in real world situations

Data Analysis 

Graphs   Scatter Plots
 Clusters
 Outliers
 Positive vs. Negative Correlation
 Linear vs. Nonlinear Correlation

Linear Models and Graphs   Construct and interpret scatter plots
 Analyze linear associations
 Use linear models to make predictions

Bivariate Data   Interpret graphs to determine bivariate data
 Estimate and Make predictions

Frequency Tables   Interpret twoway frequency tables
 Interpret twoway relative frequency tables
