GRADE 6

Standards
Priority
Clarification and Examples
Number Sense - Grade 6
23%
  
1. Students read, write, compare, analyze, and relate integers and rational numbers.    
1.1 Students write positive and negative numbers on a number line.
2
  
1.2 Students identify prime and composite numbers and identify the prime factors of composite numbers.
4
  
1.3 Students write equivalent amounts as percents, fractions, and decimals.
3
 125%, 125/100, 1.25
1.4 Students convert fractions that yield a repeating decimal to decimals and round off the decimal to the nearest hundredth.
2
 2/3 = .66666 = .67
1.5 Students show that numbers with exponents can be written as repeated multiplication.
2
  
2. Students estimate and solve problems involving addition and subtraction, multiplication and division of rational numbers, including positive integer powers.    
2.1 Students solve addition, subtraction, multiplication, and division problems with any combination of rational numbers expressed as integers, fractions, decimals, or percents.
5
  
2.2 Students add, subtract, multiply, and divide with negative numbers.
4
  
2.3 Students master the order of operations and their associative, commutative, and distributive properties
4
  
2.4 Students understand and correctly use the properties of 0 and 1.
3
  
2.5 Students calculate positive integer exponents of rational numbers, and correctly use exponent values of 0 and 1.
3
  
2.6 Students simplify exponential expressions with common base.
3
  
2.7 Students carry out simple operation using scientific notation
2
  
Measurement and Geometry - Grade 6
38%
  
1. Students estimate, measure, and solve problems that involve metric and customary units.    
1.1 Students solve problems, adding, subtracting, and multiplying measurement units.
4
 A wall that needs to be painted is 20'4" long and 8'2" high. What is the area of the wall?
1.2 Students estimate and find the perimeter and the area of a parallelogram and a triangle and the circumference and area of a circle and estimate and find the volume of a cube or a rectangular solid and pyramid, circular cylinders, and cones.
4
  
1.3 Students determine the surface area of a cube and a rectangular solid.
3
  
1.4 Students determine the circumference and the area of a circle.
2
  
1.5 Students solve problem situations that involve addition, subtraction, multiplication, and division after area or perimeter is determined.
4
 Pam wants to paint a wall that is 12 feet high and 14 feet long. There are 2 windows on the wall. Both are 4 feet high and 2 feet wide. What is the area of the part of the wall that will be painted?
2. Students demonstrate understanding of plane and solid geometric objects and their attributes and use this under-standing to show relationships and solve problems.    
2.1 Students identify, describe, and classify angles as vertical, adjacent, complementary, and/or supplementary.
3
  
2.2 Students use the properties of triangles to determine the measure, in degrees of specified angles.
4
 the sum of interior angles is 180
exterior angle of a triangle is equal to the sum of the opposing interior angles
2.3 Students draw quadrilaterals and triangles given information about them and describe their properties.
4
 e.g., a quadrilateral that has equal sides but no right angles, a right isosceles triangle
2.4 Students estimate the degrees in angles using 45, 90, and 180 as referents (acute, right, obtuse) and use tools to construct various types of angles.
4
  
2.5 Students determine the number of degrees in all angles in a parallelogram when given the number of degrees in one angle utilizing knowledge of properties of corresponding angles.
3
  
2.6 Students recognize bilateral and rotational symmetry in two- and three- dimensional figures.
2
  
2.7 Students use the properties of geometric figures in explaining the steps taken to figure out the number of degrees formed by two lines intersecting in a figure.
3
  
Algebra and Symbols - Grade 6
14%
  
1. Students construct and solve equations that involve variables.    
1.1 Students solve for the one unknown in a linear equation.
4
 3/4 m = 12 
1 3/8 + 2m = 5/8
1.2 Students multiply a value times a series of numbers that are added or subtracted within a parenthesis. 
3
 5 (6 - 2 + 1).
1.3 Students identify and graph ordered pairs in the four quadrants of the coordinate plane.
4
  
1.4 Students solve a multiplication problem with percentages of unknown factor.
3
 35% of M = 84
1.5 Students solve for the unknown in a proportion when the unknown is a whole number or a mixed number.
3
 5/9 = 4/X
1.6 Students carry out multiple steps for a problem situation that involves mixture, discount, tax, or commission problems.
5
  
Functions - Grade 6
7%
  
1. Students represent and interpret quantitative relationship in a table or graph.    
1.1 Students, given a function table of positive and negative x and y values, create a line on a coordinate grid.
3
  
1.2 Students refer to a line on the coordinate system to answer several questions about the same problem situation.
3
  
1.3 Students create a proportion from a problem situation that gives a ratio (i.e., cost per unit, contents per container, rate/distance).
4
  
1.4 Students use proportions to derive formulas for unit conversion
4
  
1.5 Students understand the distinction between ratios and fractions, particularly in the context of probability.
4
  
Data Analysis - Grade 6
8%
  
1. Students collect data and conduct simple probability experiments, determine the number of possible outcomes, and make simple predictions.    
1.1 Students determine the mean, median, mode, and range of a set of numbers.
2
  
1.2 Students interpret representations of two or more variables (numerical and/or categorical) from a data set and a scatter plot and identify possibilities for how the variables may be related.
3
 Plot the time spent on homework against grade level
1.3 Students compute the expected outcome for an experiment with several possible outcomes for each trial (e.g., spinning a spinner), conduct the experiment, and then compare predicted and actual results. 
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