6.1 
RATIOS 

6.11 
COORDINATE GRAPH 



Describe and compare data using ratios 


Identify and label coordinates of a point 



Represent a relationship using a/b, a:b and a to b 


Graph ordered pairs 
6.2 
FRACTIONS, DECIMALS AND PERCENTS 
6.12 
CONGRUENCE 


Investigate and describe fractions, decimals, and percents as ratios 



Determine congruence of segments 


Identify fractions, decimals, and percents from a representation 



Determine congruence of angles 


Demonstrate equivalent fractions, decimals, and percents 



Determine congruence of polygons 


Compare and order 
6.13 
PROPERTIES OF QUADRILATERALS 



Compare fractions 

Describe, identify, sort, and classify properties of 



Compare decimals 



Parallelograms 



Compare percents 



Rectangles 



Order fractions, decimals, and percents 



Trapezoids 
6.3 
INTEGERS 



Kites 


Identify and represent integers 



Rhombi 


Order and compare integers 



Squares 


Identify and describe absolute value of integers 



Identify sum of angles of a quadrilateral 
6.4 
REPRESENTATIONS OF FRACTION OPERATIONS 
6.14 
CIRCLE GRAPHS 



Demonstrate multiplication and division of fractions using representations 


Construct circle graphs 



Model multiplication and division of fractions 


Draw conclusions & make predictions 
6.5 
EXPONENTS AND PERFECT SQUARES 


Compare & contrast graphs 



Recognize and describe patterns with positive exponents 
6.15 
MEASURES OF CENTRAL TENDENCY 



Recognize and describe patterns with perfect squares 


Find and describe mean as balance point 



Recognize patterns with powers of ten 


Describe and determine the best measure of center 
6.6 
OPERATIONS WITH RATIONAL NUMBERS 



Mean as best measure of center 


Computation Of fractions 



Median as best measure of center 



Multiply fractions and mixed numbers 



Mode as best measure of center 



Divide fractions and mixed numbers 
6.16 
EVENT PROBABILITY 


Practical problems 


Compare and contrast dependent and independent events 



Estimate and solve addition of fractions 


Determine probability of 



Estimate and solve subtraction of fractions 



Two dependent events 



Estimate and solve multiplication of fractions 



Two independent events 



Estimate and solve division of fractions 
6.17 
ARITHMETIC AND GEOMETRIC SEQUENCES 
6.7 
OPERATIONS WITH DECIMALS 



Identify and extend arithmetic sequences 



Solve practical addition problems 



Identify and extend geometric sequences 



Solve practical subtraction problems 



Extend and apply arithmetic and geometric sequences to similar situations 



Solve practical multiplication problems 



Compare and contrast arithmetic and geometric sequences 



Solve practical division problems 



Identify common difference 
6.8 
ORDER OF OPERATIONS 



Identify common ratio 



Evaluate and simplify expressions 
6.18 
EQUATIONS 
6.9 
COMPARE CUSTOMARY & METRIC MEASUREMENTS 



Represent equations using concrete materials 

Estimate and compare 



Solve addition equation 



Length 



Solve subtraction equation 



Weight/mass 



Solve multiplication equation 



Volume 



Solve division equation 



Temperature 
6.19 
PROPERTIES 
6.10 
AREA, PERIMETER, VOLUME, AND SURFACE AREA 


Investigate and recognize identity properties 


Define π 



Additive identity 


Circles 



Multiplicative identity 



Solve practical circumference problems 


Investigate and recognize multiplicative property of zero 



Solve practical area of circle problems 


Investigate and recognize multiplicative inverse 


Area & Perimeter 
6.20 
GRAPH INEQUALITIES 



Solve practical problems for area & perimeter of rectangle 



Graph inequalities on a number line 



Solve practical problems for area & perimeter of parallelogram 



Represent an inequality two different ways given a graph 



Solve practical problems for area & perimeter of triangle 
Aligned to the 2009 Virginia Standards of Learning




Solve practical problems for area of trapezoid 


Volume & Surface Area 



Describe and determine volume of rectangular prism 



Describe and determine surface area of rectangular prism 