Math‎ > ‎

6th Grade

6.RP Ratios and Proportional Relationships

Understand ratio concepts and use ratio reasoning to solve problems.  

6.RP.1  Be able to write a ratio to represent a given relationship.  
ex.    There were 12 boys in the class and 17 girls.  The boy to girl ratio was 12

to 17, 12/17 or 12:17.  

6.RP.2  Be able to calculate unit rates.  
ex.  7 tickets to the play cost $35, which represents a rate of $5 per ticket.  
6.RP.3  Be able to write and solve a proportion based on a real-world problem.

6.NS Number System

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.  

6.NS.1  Be able to divide fractions and solve real-world problems involving the division of fractions.

Compute fluently with multi-digit numbers and find common factors and multiples.  

6.NS. 2  Be able to divide multi-digit whole numbers.
6.NS.3  Be able to perform mathematical operations using multi-digit decimals.  
a.  addition
b.  subtracting
c.  multiplying
d.  dividing
6.NS.4  Be able to find the greatest common factor of two whole numbers less than or equal to 100.
6.NS. 5  Be able to find the least common multiple of two whole numbers less than or equal to 12.

Apply and extend previous understandings of numbers to the system of rational numbers.

6.NS.6  Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.  
6.NS.7  Be able to graph rational numbers on a number line and/or the coordinate plane.
6.NS.8  Understand rational numbers.
a.  Be able to order rational numbers.
b.  Be able to compare rational numbers using inequality symbols.
c.  Be able to identify the absolute value of a rational number.
6.NS.9  Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.   Find the distance between two points that have the same “x” or “y” coordinate.  

6. EE  Expressions and Equations

Apply and extend previous understandings of arithmetic to algebraic expressions.

6.EE.1  Write and evaluate numbers with positive powers.
6.EE.2  Write, read, and evaluate expressions containing variables.  

Reason about and solve one-variable equations and inequalities.

6.EE.3  Use substitution to determine whether a given number in a specified set makes an equation or inequality true.  
6.EE.4  Use variables to represent numbers and write expressions when solving a real-world or mathematical problem.  
ex.  Equations are in the form of x + p = q or px = q.  

Represent and analyze quantitative relationships between dependent and independent variables.

6.EE.5  Use variables to represent two quantities in a real-world problem that change in relationship to one another, write an equation to express one quantity, thought of as the independent variable.  Analyze the relationships between the dependent and independent variable.

6.G Geometry

Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.1  Find the the area of triangles, quadrilaterals, and other polygons by dividing the figures into simpler shapes.  
6.G.2  Calculate the volume of rectangular prisms by counting cubic units and/or using the volume formula.  (V = l x w x h)
6.G.3  Graph geometric figures on the coordinate plane and determine side lengths using two points that have a common “x” or “y” coordinate.  
6.G.4  Find the surface area of three-dimensional figures using the nets made up of rectangles and triangles.  

6.SP Statistics and Probability

Develop understanding of statistical variability.
6.SP.1  Develop questions that can be used to generate statistical data.
6.SP.2  Evaluate statistical data knowing that there will be a center point and a range.  
6.SP.3  Recognizes that the measure of the center of the data set include; mean, median, and mode.  
Summarize and describe distributions.  
6.SP.4  Create graphs including; scatter plots, histograms, and box-and-whisker plots.
6.SP.5  Read and interpret data from a graph.