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New York Math Standards - 6th Grade
MathScore aligns to the New York Math Standards for 6th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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Problem Solving
6.PS.1 Know the difference between relevant and irrelevant information when solving problems6.PS.2 Understand that some ways of representing a problem are more efficient than others
6.PS.3 Interpret information correctly, identify the problem, and generate possible strategies and solutions (Fraction Word Problems , Fraction Word Problems 2 )
6.PS.4 Act out or model with manipulatives activities involving mathematical content from literature
6.PS.5 Formulate problems and solutions from everyday situations (Fraction Word Problems , Fraction Word Problems 2 , Purchases At Stores , Restaurant Bills , Commissions )
6.PS.6 Translate from a picture/diagram to a numeric expression (Proportions 2 )
6.PS.7 Represent problem situations verbally, numerically, algebraically, and/or graphically (Algebraic Sentences )
6.PS.8 Select an appropriate representation of a problem (Algebraic Sentences )
6.PS.9 Understand the basic language of logic in mathematical situations (and, or, and not)
6.PS.10 Work in collaboration with others to solve problems
6.PS.11 Translate from a picture/diagram to a number or symbolic expression.
6.PS.12 Use trial and error and the process of elimination to solve problems
6.PS.13 Model problems with pictures/diagrams or physical objects
6.PS.14 Analyze problems by observing patterns (Function Tables , Function Tables 2 )
6.PS.15 Make organized lists or charts to solve numerical problems
6.PS.16 Discuss with peers to understand a problem situation
6.PS.17 Determine what information is needed to solve problem
6.PS.18 Determine the efficiency of different representations of a problem
6.PS.19 Differentiate between valid and invalid approaches
6.PS.20 Understand valid counterexamples
6.PS.21 Explain the methods and reasoning behind the problem solving strategies used
6.PS.22 Discuss whether a solution is reasonable in the context of the original problem
6.PS.23 Verify results of a problem
Reasoning and Proof
6.RP.1 Recognize that mathematical ideas can be supported using a variety of strategies6.RP.2 Understand that mathematical statements can be supported, using models, facts, and relationships to explain their thinking
6.RP.3 Investigate conjectures, using arguments and appropriate mathematical terms
6.RP.4 Make and evaluate conjectures, using a variety of strategies
6.RP.5 Justify general claims or conjectures, using manipulatives, models, expressions, and mathematical relationships
6.RP.6 Develop and explain an argument verbally, numerically, algebraically, and/or graphically
6.RP.7 Verify claims other students make, using examples and counterexamples when appropriate
6.RP.8 Support an argument through examples/counterexamples and special cases
6.RP.9 Devise ways to verify results
Communication
6.CM.1 Provide an organized thought process that is correct, complete, coherent, and clear6.CM.2 Explain a rationale for strategy selection
6.CM.3 Organize and accurately label work
6.CM.4 Share organized mathematical ideas through the manipulation of objects, numerical tables, drawings, pictures, charts, graphs, tables, diagrams, models, and symbols in written and verbal form
6.CM.5 Answer clarifying questions from others
6.CM.6 Understand mathematical solutions shared by other students
6.CM.7 Raise questions that elicit, extend, or challenge others' thinking
6.CM.8 Consider strategies used and solutions found by others in relation to their own work
6.CM.9 Increase their use of mathematical vocabulary and language when communicating with others
6.CM.10 Use appropriate vocabulary when describing objects, relationships, mathematical solutions, and rationale
6.CM.11 Decode and comprehend mathematical visuals and symbols to construct meaning (Exponent Basics , Tally and Pictographs , Bar Graphs , Line Graphs )
Connections
6.CN.1 Understand and make connections and conjectures in their everyday experiences to mathematical ideas6.CN.2 Explore and explain the relationship between mathematical ideas
6.CN.3 Connect and apply mathematical information to solve problems
6.CN.4 Understand multiple representations and how they are related (Repeating Decimals , Percentages )
6.CN.5 Model situations with objects and representations and be able to draw conclusions
6.CN.6 Recognize and provide examples of the presence of mathematics in their daily lives (Perimeter and Area Word Problems )
6.CN.7 Apply mathematics to problem situations that develop outside of mathematics (Batting Averages )
6.CN.8 Investigate the presence of mathematics in careers and areas of interest
6.CN.9 Recognize and apply mathematics to other disciplines and areas of interest
Representation
6.R.1 Use physical objects, drawings, charts, tables, graphs, symbols, equations, or objects created using technology as representations6.R.2 Explain, describe, and defend mathematical ideas using representations
6.R.3 Read, interpret, and extend external models
6.R.4 Use standard and nonstandard representations with accuracy and detail (Exponent Basics )
6.R.5 Use representations to explore problem situations
6.R.6 Investigate relationships between different representations and their impact on a given problem
6.R.7 Use mathematics to show and understand physical phenomena (e.g., determine the perimeter of a bulletin board)
6.R.8 Use mathematics to show and understand social phenomena (e.g., construct tables to organize data showing book sales)
6.R.9 Use mathematics to show and understand mathematical phenomena (e.g., Find the missing value: (3 + 4) + 5 = 3 + (4 + ___ )
Number Sense and Operations
6.N.1 Read and write whole numbers to trillions6.N.2 Define and identify the commutative and associative properties of addition and multiplication (Associative Property 1 , Associative Property 2 , Commutative Property 1 , Commutative Property 2 )
6.N.3 Define and identify the distributive property of multiplication over addition (Distributive Property , Basic Distributive Property )
6.N.4 Define and identify the identity and inverse properties of addition and multiplication
6.N.5 Define and identify the zero property of multiplication
6.N.6 Understand the concept of ratio (Ratios )
6.N.7 Express equivalent ratios as a proportion (Ratios )
6.N.8 Distinguish the difference between rate and ratio
6.N.9 Solve proportions using equivalent fractions (Proportions 1 )
6.N.10 Verify the proportionality using the product of the means equals the product of the extremes (Proportions 1 )
6.N.11 Read, write, and identify percents of a whole (0% to 100%) (Percentage Change , Percent of Quantity )
6.N.12 Solve percent problems involving percent, rate, and base (Purchases At Stores , Restaurant Bills , Commissions )
6.N.13 Define absolute value and determine the absolute value of rational numbers (including positive and negative) (Absolute Value 1 )
6.N.14 Locate rational numbers on a number line (including positive and negative) (Compare Integers )
6.N.15 Order rational numbers (including positive and negative)
6.N.16 Add and subtract fractions with unlike denominators (Fraction Addition , Fraction Subtraction , Fraction Word Problems )
6.N.17 Add, subtract, multiply, and divide fractions with unlike denominators. (Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Fraction Word Problems , Fraction Word Problems 2 )
6.N.18 Multiply and divide mixed numbers with unlike denominators (Fraction Multiplication , Fraction Division )
6.N.19 Identify the multiplicative inverse (reciprocal) of a number
6.N.20 Represent fractions as terminating or repeating decimals (Repeating Decimals )
6.N.21 Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 100) (Fractions to Decimals , Decimals To Fractions , Compare Mixed Values , Positive Number Line , Repeating Decimals , Percentages )
6.N.22 Evaluate numerical expressions using order of operations (may include exponents of two and three) (Order Of Operations )
6.N.23 Represent repeated multiplication in exponential form (Exponent Basics )
6.N.24 Represent exponential form as repeated multiplication (Exponent Basics )
6.N.25 Evaluate expressions having exponents where the power is an exponent of one, two, or three
6.N.26 Estimate a percent of quantity (0% to 100%)
6.N.27 Justify the reasonableness of answers using estimation (including rounding)
Algebra
6.A.1 Translate two-step verbal expressions into algebraic expressions (Phrases to Algebraic Expressions )6.A.2 Use substitution to evaluate algebraic expressions (may include exponents of one, two and three) (Variable Substitution )
6.A.3 Translate two-step verbal sentences into algebraic equations (Phrases to Algebraic Expressions )
6.A.4 Solve and explain two-step equations involving whole numbers using inverse operations (Single Variable Equations 2 )
6.A.5 Solve simple proportions within context (Proportions 2 )
6.A.6 Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.) (Temperature Conversion , Triangle Area , Triangle Area 2 , Parallelogram Area , Circle Area , Circle Circumference , Triangular Prisms , Trapezoids , Simple Interest , Compound Interest , Distance, Rate, and Time )
Geometry
6.G.1 Calculate the length of corresponding sides of similar triangles, using proportional reasoning (Proportions 2 )6.G.2 Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas (Triangle Area , Parallelogram Area , Trapezoids )
6.G.3 Use a variety of strategies to find the area of regular and irregular polygons (Perimeter and Area of Composite Figures , Trapezoids )
6.G.4 Determine the volume of rectangular prisms by counting cubes and develop the formula
6.G.5 Identify radius, diameter, chords and central angles of a circle (Circle Measurements )
6.G.6 Understand the relationship between the diameter and radius of a circle (Circle Measurements )
6.G.7 Determine the area and circumference of a circle, using the appropriate formula (Circle Area , Circle Circumference )
6.G.8 Calculate the area of a sector of a circle, given the measure of a central angle and the radius of the circle
6.G.9 Understand the relationship between the circumference and the diameter of a circle (Circle Circumference )
6.G.10 Identify and plot points in all four quadrants (Ordered Pairs )
6.G.11 Calculate the area of basic polygons drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths)
Measurement
6.M.1 Measure capacity and calculate volume of a rectangular prism (Rectangular Solids )6.M.2 Identify customary units of capacity (cups, pints, quarts, and gallons)
6.M.3 Identify equivalent customary units of capacity (cups to pints, pints to quarts, and quarts to gallons) (Volume Conversion )
6.M.4 Identify metric units of capacity (liter and milliliter)
6.M.5 Identify equivalent metric units of capacity (milliliter to liter and liter to milliliter) (Volume Conversion )
6.M.6 Determine the tool and technique to measure with an appropriate level of precision: capacity
6.M.7 Estimate volume, area, and circumference (see figures identified in geometry strand)
6.M.8 Justify the reasonableness of estimates
6.M.9 Determine personal references for capacity
Statistics and Probability
6.S.1 Develop the concept of sampling when collecting data from a population and decide the best method to collect data for a particular question6.S.2 Record data in a frequency table
6.S.3 Construct Venn diagrams to sort data
6.S.4 Determine and justify the most appropriate graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph)
6.S.5 Determine the mean, mode and median for a given set of data (Mean, Median, Mode )
6.S.6 Determine the range for a given set of data (Mean, Median, Mode )
6.S.7 Read and interpret graphs (Tally and Pictographs , Bar Graphs , Line Graphs )
6.S.8 Justify predictions made from data
6.S.9 List possible outcomes for compound events
6.S.10 Determine the probability of dependent events (Object Picking Probability )
6.S.11 Determine the number of possible outcomes for a compound event by using the fundamental counting principle and use this to determine the probabilities of events when the outcomes have equal probability
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