6th Grade Math Checklist

6th Grade Math Checklist

Download the Sixth Grade Math Checklist

Module 1: Ratios and Proportional Relationships

  • 6.RP.A.1 I can use what I know about ratios to describe the relationship between two quantities.
  • 6.RP.A.2 I can understand how to find a rate when given a specific ratio. (Ex: We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.)
  • 6.RP.A.3 I can use reasoning to solve word problems involving rate and ratios.
  • 6.RP.A.3.A I can make tables of equivalent ratios, find missing values in the tables and use the tables to compare ratios.
  • 6.RP.A.3.A I can plot ratios on a coordinate plane.
  • 6.RP.A.3.B I can solve unit rate problems. (Ex: If it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were the lawns being mowed?)
  • 6.RP.A.3.C I can find a percent of a quantity as a rate per 100. (Ex: 30% of a quantity means 30/100 times the quantity.)
  • 6.RP.A.3.C I can solve problems involving finding the whole if I am given a part and the percent.
  • 6.RP.A.3.D I can use what I know about ratios to convert units of measurement.
  • 6.RP.A.3.D I can change units of measurement correctly when multiplying or dividing quantities.

Module 2: The Number System

  • 6.NS.A.1 I can divide two fractions.
  • 6.NS.A.1 I can solve word problems involving the division of fractions by fractions.
  • 6.NS.B.2 I can easily divide multi-digit numbers.
  • 6.NS.B.3 I can easily add, subtract, multiply and divide multi-digit numbers involving decimals.
  • 6.NS.B.4 I can find the greatest common factor of two whole numbers less than or equal to 100.
  • 6.NS.B.4 I can find the least common multiple of two whole numbers less than or equal to 12.
  • 6.NS.B.4 I can use the distributive property to show the sum of two whole numbers (1-100) in different ways. (Ex: show 36 + 8 as 4(9+2).)
  • 6.NS.C.5 I can understand that positive and negative numbers are used to describe amounts having opposite values.
  • 6.NS.C.5 I can use positive and negative numbers to show amounts in real-world situations and explain what the number 0 means in those situations.
  • 6.NS.C.6 I can understand that a rational number is a point on a number line.
  • 6.NS.C.6 I can extend number line diagrams to show positive and negative numbers on the line.
  • 6.NS.C.6 I can extend coordinate axes to show positive and negative numbers in the plane.
  • 6.NS.C.6.A I can recognize opposite signs of numbers as showing places on opposite sides of 0 on the number line.
  • 6.NS.C.6.A I can recognize that the opposite of the opposite of a number is actually the number itself. (Ex: -(-3)=3)
  • 6.NS.C.6.A I can recognize that 0 is its own opposite.
  • 6.NS.C.6.B I can understand that the signs (- or +) of numbers in ordered pairs indicate locations in quadrants of the coordinate plane.
  • 6.NS.C.6.B I can recognize two ordered pairs with differing signs as reflections of each other across one or both axes.
  • 6.NS.C.6.C I can find and place integers and other rational numbers on a number line diagram.
  • 6.NS.C.6.C I can find and place ordered pairs on a coordinate plane.
  • 6.NS.C.7 I can order rational numbers.
  • 6.NS.C.7 I can understand absolute value of rational numbers.
  • 6.NS.C.7.A I can understand statements of inequality (ex: -3 > -7) and explain their positions and distances apart on a number line.
  • 6.NS.C.7.B I can write, understand and explain how the order of rational numbers applies in real-world situations (Ex: -3 degrees C > – 7 degrees C to show that -3 degrees C is warmer than -7 degrees C.)
  • 6.NS.C.7.C I can understand the absolute value of a number as its distance from 0 on the number line.
  • 6.NS.C.7.C I can understand absolute values as they apply to real-world situations (Ex: for an account balance of -30 dollars, write (-30) =30 to describe the size of the debt in dollars.)
  • 6.NS.C.7.D I can tell the difference between comparisons of absolute value from statements of order (Ex: An account balance less than -30 dollars is a debt greater than 30 dollars.)
  • 6.NS.C.8 I can graph points in all four quadrants of the coordinate plane to help me solve real-world and mathematical problems.
  • 6.NS.C.8 I can use what I know about coordinates and absolute values to figure out the distance between points with the same first coordinate or the same second coordinate.

Module 3: Expressions and Equations

  • 6.EE.A.1 I can write and figure out numerical expressions that have whole-number exponents.
  • 6.EE.A.2 I can write, read and figure out expressions in which letters stand for numbers.
  • 6.EE.A.2.A I can write expressions with numbers and with letters standing for numbers.
  • 6.EE.A.2.B I can name the parts of an expression using mathematical words (sum, term, product, factor, quotient, coefficient.)
  • 6.EE.A.2.B I can look at one or more parts of an expression in different ways. (Ex: 8 + 7 can be seen as the addition sentence or as the number 15.)
  • 6.EE.A.2.C I can figure out different answers to expressions when given specific values for the variable.
  • 6.EE.A.2.C I can solve real-world math problems involving expressions that arise from formulas.
  • 6.EE.A.2.C I can solve math problems including those with exponents, in the usual order (when no parentheses are there to give a particular order.)
  • 6.EE.A.3 I can apply what I know about the properties of operations (associative, commutative and distributive) to create equivalent (or equal) expressions.
  • 6.EE.A.4 I can recognize when two expressions are equivalent.
  • 6.EE.B.5 I can understand that solving an equation or inequality means that I find out which values can make the equation or inequality true.
  • 6.EE.B.5 I can try different numbers in place of a variable to figure out which makes the equation or inequality true.
  • 6.EE.B.6 I can use variables to represent numbers and write expressions to solve real-world problems.
  • 6.EE.B.6 I can understand that a variable can stand for an unknown number or any number in a given set of numbers.
  • 6.EE.B.7 I can solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q (where p, q and x are all nonnegative rational numbers.)
  • 6.EE.B.8 I can write an inequality (x > c or x < c) to stand for a limitation or condition in a real-world or mathematical problem that has infinitely many solutions.
  • 6.EE.B.8 I can show the answers to problems involving inequalities on number line diagrams.
  • 6.EE.C.9 I can use variables that change in relationship to one another to represent two quantities in a real world problem.
  • 6.EE.C.9 I can write an equation to show one quantity (the dependent variable) in terms of the other quantity (the independent variable.)
  • 6.EE.C.9 I can use graphs and tables to show the relationship between dependent and independent variables.

Module 4: Statistics and Probability

  • 6.SP.A.1 I can recognize a statistical question as one that expects variability in the data related to the question.
  • 6.SP.A.2 I can understand that a set of data collected to answer a statistical question has a distribution that can be described by its center, spread and overall shape when plotted on a graph.
  • 6.SP.A.3 I can understand that a set of numerical data has a measure of center (median and/or mean) that summarizes all of its values with a single number.
  • 6.SP.A.3 I can understand that in a set of numerical data, the measure of variation describes how its values vary with a single number.
  • 6.SP.B.4 I can understand that a distribution of a variable is the description of the relative number of times each possible outcome will occur.
  • 6.SP.B.4 I can show numerical data in plots on a number line (including dot plots, histograms and box plots.)
  • 6.SP.B.5 I can summarize sets of numerical data in relation to their circumstances.
  • 6.SP.B.5.A I can summarize data by stating the number of observations.
  • 6.SP.B.5.B I can summarize data by describing the characteristics of what is being investigated, including how it was measured.
  • 6.SP.B.5.C I can summarize data by giving numerical measures of center and variability.
  • 6.SP.B.5.C I can summarize data by describing the overall pattern of the data and noticing unusual deviations from the overall pattern.
  • 6.SP.B.5.D I can summarize data by explaining how the distribution of the data on a graph relates to the choice of measures of center and variability.

Module 5: Geometry

  • 6.G.A.1 I can put together and take apart shapes to help me find the area of right triangles, other triangles, special quadrilaterals and polygons.
  • 6.G.A.1 I can apply what I know about taking apart and putting together shapes to find the area of objects or places in real-world situations.
  • 6.G.A.2 I can use unit cubes to find the volume of any right rectangular prism.
  • 6.G.A.2 I can understand that the mathematical formula (V = l w h or V = b h) will give me the same result as using unit cubes to figure out the volume.
  • 6.G.A.2 I can use the mathematical formulas V=l w h or V= b h to determine the volume of real world objects.
  • 6.G.A.3 I can draw polygons in the coordinate plane when I am given the coordinates for the vertices.
  • 6.G.A.3 I can use coordinates to find the length of a side of a polygon joining points with the same first coordinate or the same second coordinate.
  • 6.G.A.3 I can apply what I have learned about polygons on coordinate planes to real-world and mathematical situations.
  • 6.G.A.4 I can represent and figure out the surface area of a three-dimensional shape by using nets made up of rectangles and triangles.
  • 6.G.A.4 I can apply my skills involving finding surface area with nets in real-world and mathematical problems.