8.1 
EXPRESSIONS & OPERATIONS 

8.9 
THREEDIMENSIONAL MODEL 


Simplify Numerical Expressions 



Construct given top or bottom, side, and front view 



Positive exponents 



Identify 3D model given two dimensional view 



Rational numbers 
8.10 
PYTHAGOREAN THEOREM 



Order of operations 


Verify 



Real number properties 



Determine if right triangle 


Compare & Order 



Solve for third side given two sides 



Compare fractions, decimals, percents, scientific notation 


Apply Pythagorean Theorem 



Order fractions, decimals, percents, scientific notation 
8.11 
COMPOSITE FIGURES 
8.2 
REAL NUMBER SYSTEM 



Apply area and perimeter to solve practical problems 


Describe and write relationships among 



Subdivide figures to estimate and determine area 



Natural or counting number 



Solve for perimeter, circumference, and area 



Whole umbers 
8.12 
PROBABILITY 



Integers 



Determine probability of independent events ( < 3) 



Rational numbers 



Determine probability of dependent events ( < 2) 



irrational numbers 



Compare outcomes with and without replacement 



Real numbers 
8.13 
INTERPRETING GRAPHS 



IIlustrate relationship of real number subsets 


Compare graphs 



Identify subsets for which a number belongs 



Make comparisons 
8.3 
APPLICATIONS WITH REAL NUMBERS 



Make predictions and inferences 


Solve practical problems involving 


Scatterplots 



Rational numbers 



Collect and organize data in scatterplot 



Percents 



Interpret data in scatterplot 



Ratios 



Make prediction  line of best fit 



Proportions 



Determine positive, negative or no relationship 


Determine percent of change 
8.14 
RELATIONS & FUNCTIONS 



Increase 



Make connections between table, graph, words, and rules 



Decrease 



Graph ordered pairs 
8.4 
ALGEBRAIC EXPRESSIONS 



Describe relations and functions 



Simplify using replacement values and apply order of operations 



Represent relations and functions 
8.5 
SQUARE ROOTS 



Convert from one representation to another 


Identify and define perfect squares 



Compare representations for same relation 


Determine between which 2 whole numbers a square root lies 
8.15 
EQUATIONS & INEQUALITIES 
8.6 
ANGLES 


Solve multistep linear equations 


Verify & describe relationships between 



Solve equation with variable on one side 



Vertical angles 



Solve equation with variables on both sides 



Adjacent angles 


Solve twostep linear Inequalities 



Supplementary angles 



Solve 



Complementary angles 



Graph on number line 


Find measure of angles 


Identify properties 
8.7 
SURFACE AREA & VOLUME 



Commutative for addition & multiplication 


Investigate & solve practical problems involving 



Associative for addition & multiplication 



Surface area of rectangular prism 



Distributive 



Volume of rectangular prism 



Identity property for addition & multiplication 



Surface area of right cylinder 



Zero property of multiplication 



Volume of right cylinder 



Additive inverse 



Surface area of cone 



Multiplicative inverse 



Volume of cone 
8.16 
GRAPH LINEAR EQUATIONS 



Surface area of square or triangular pyramid 



Construct table of ordered pairs 



Volume of square or triangular pyramid 



Plot coordinates and connect points 



Determine whether to find surface area or volume 



Interpret unit rate of graph 


Describe how change of measurement affects 
8.17 
ALGEBRAIC TERMS 



Volume 



Identify and apply algebraic terms 



Surface area 



Determine the domain and range of a function 
8.8 
TRANSFORMATIONS 



Determine the independent variable of a relationship 


Apply Transformations 



Determine the dependent variable of a relationship 



Reflection 
Aligned to the 2009 Virginia Standards of Learning




Rotation 



Translation 



Dilation 



Identify transformations 


Identify applications of transformations 