Green: Remaining/Clarified Content (content/cognitive changes) Blue: New Content Yellow:Shifted Content (down 1+ grade levels)

6.1 The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.11A identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics. / 6.1A/7.1A/8.1A apply mathematics to problems arising in everyday life, society, and the workplace
6.11B solve problems that incorporate the process of understanding the problem, making a plan, carrying out the plan, and evaluating the solution of reasonableness
6.11C select or develop and appropriate problem-solving plan or strategy including drawing a picture, looking for a pattern, systematic guessing and checking, acting it, making a table, working a simpler problem, or working backwards to solve a problem / 6.1B/7.1B/8.1Buse a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution
6.11D select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems / 6.1C/7.1C/8.1C select tools, including real objects, manipulatives, paper/pencil, and technology, as appropriate and techniques, including mental math, estimation, and number sense, as appropriate to solve problems
6.12Acommunicate mathematical ideas using language, effective tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models / 6.1D/7.1D/8.1D communicate mathematical ideas, reasoning, and their implications using multiple representation, including symbols, diagrams, graphs, and language as appropriate
6.12Bevaluate the effectiveness of different representations to communicate ideas / 6.1E/7.1E/8.1E create and use representations to organize, record and communicate mathematical ideas
6.13Amake conjectures from patterns or sets of examples and non-examples / 6.1F/7.1F/8.1F analyze mathematical relationships to connect and communicate mathematical ideas
6.13Bvalidate his/her conclusions using mathematical properties and relationships / 6.1G/7.1G/8.1G display, explain and justify mathematical ideas and arguments using precise mathematical language in written or oral communications
6.2 The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.2A classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers / 7.2 extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers
6.1C use integers to represent real-life situations / 6.2B identify a number, its opposite, and its absolute value / None
6.1A compare and order non-negative rational numbers
8.1A compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals / 6.2C locate, compare, and order integers and rational numbers using a number line / None
6.2D order a set of rational numbers arising from mathematical and real-world contexts / None
6.2E extend representations fordivision to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0 / None
6.3 The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying the solutions. The student is expected to: / Instructional Considerations
Currentgrade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.3A recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values / 7.2B use addition and subtraction, multiplication, and division to solve problems involving fractions and decimals / 7.3A add, subtract, multiply, and divide rational numbers fluently
7.3B apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers
6.3B determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one / None
7.2C use models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to the algorithm / 6.3C represent integer operations with concrete models and connect the actions with the models to standardized algorithms / 7.2B use addition and subtraction, multiplication, and division to solve problems involving fractions and decimals / 7.3A add, subtract, multiply, and divide rational numbers fluently
8.2B use appropriate operations to solve problems involving rational numbers in problem situations / 6.3D add, subtract, multiply, and divide integers fluently
6.2C use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates
7.2B use addition, subtraction, multiplication and division to solve problems involving fractions and decimals / 6.3E multiply and divide positive rational numbers fluently / 7.2B use addition and subtraction, multiplication, and division to solve problems involving fractions and decimals / 7.3A add, subtract, multiply, and divide rational numbers fluently
7.3B apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers
6.4 The student applies mathematical process standards to develop an understanding of proportional relationships in problem situations. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.4A use tables and symbols torepresent and describeproportional and otherrelationships such as thoseinvolving conversions, arithmeticsequences (with a constant rateof change), perimeter and area / 6.4A compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships / 7.4Agenerate formulas involving unit conversions within the same system (customary and metric), perimeter, area, circumference, volume, and scaling
7.4B graph data to demonstrate relationships in familiar concepts as conversions, perimeter, area, circumference, volume, and scaling / 7.4A represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d=rt
7.2D use division to find unit rates and rations in proportional relationships such as speed, density, price, recipes, and student-teacher ratio / 7.4B calculate unit rates from rates in mathematical and real-world problems
6.3C use ratios to makepredictions in proportionalsituations / 6.4B apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates / None
6.3A use ratios to describeproportional situations / 6.4C give examples of ratios as multiplicative comparisons of two quantities describing the same attribute / None
6.4D give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients / 7.4Agenerate formulas involving unit conversions within the same system (customary and metric), perimeter, area, circumference, volume, and scaling
7.4B graph data to demonstrate relationships in familiar concepts as conversions, perimeter, area, circumference, volume, and scaling / 7.4A represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d=rt
6.3B represent ratios andpercents with concrete models,fractions, and decimals / 6.4E represent ratios andpercents with concrete models,fractions, and decimals
6.4F represent benchmarkfractions and percents such as1%, 10%, 25%, 33 1/3%, andmultiples of these values using10 by 10 grids, strip diagrams,number lines, and numbers / 7.3A estimate and find solutions to application problems involving percent
7.3B estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units / 7.4D solve problems involving ratios, rates, and precents, including multistep problems involving percent increase and percent decrease, and financial literacy problems
6.1B generate equivalent formsof rational numbers includingwhole numbers, fractions, anddecimals / 6.4G generate equivalent formsof fractions, decimals, andpercents using real-worldproblems, including problems thatinvolve money
6.8D convert measures withinthe same measurement system(customary and metric) based onrelationships between units / 6.4H convert units within ameasurement system, includingthe use of proportions and unitrates / 7.4E convert between measurement systems, including the use of proportions and the use of unit rate
6.5 The student applies mathematical process standards to solve problems involving proportional relationships. The student is expected to:
/ Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.4A use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rateof change), perimeter and area / 6.5A represent mathematical and real-world problems involvingratios and rates using scale factors, tables, graphs, andproportions / 7.4Agenerate formulas involving unit conversions within the same system (customary and metric), perimeter, area, circumference, volume, and scaling
7.4B graph data to demonstrate relationships in familiar concepts as conversions, perimeter, area, circumference, volume, and scaling / 7.4A represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d=rt
7.3A estimate and find solutions to application problems involving percent / 6.5B solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models / 7.3A estimate and find solutions to application problems involving percent
7.3B estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units / 7.4D solve problems involving ratios, rates, and precents, including multistep problems involving percent increase and percent decrease, and financial literacy problems
6.1B generate equivalent formsof rational numbers includingwhole numbers, fractions, anddecimals / 6.5C use equivalent fractions, decimals, and percents to show equal parts of the same whole
6.6 The student applies mathematical process standards to use multiple representations to describe algebraic relationships. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
A.1A describe independent and dependent quantities in functional relationships / 6.6A identify independent and dependent quantities from tables and graphs / 7.7 represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y=mx+b
6.5 formulate equations from problem situations described by linear relationships / 6.6B write an equation that represents the relationship between independent and dependent quantities from a table / None
6.4A use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area / 6.6C represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b / None
6.7 The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Currentgrade TEKS / New 7th grade TEKS
6.1D write prime factorizations using exponents
6.2E use order of operations to simplify whole number expressions (without exponents) in problem solving situations
7.2E simplify numerical expressions involving order of operations and exponents / 6.7A generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization / None
6.7B distinguish between expressions and equations verbally, numerically, and algebraically / None
6.7C determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations / None
A.4B use the commutative, associative, and distributive properties to simplify algebraic expressions / 6.7D generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties / None
6.8 The student applies mathematical process standards to use geometry to represent relationships and solve problems. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.6B identify relationships involving angles in triangles and quadrilaterals / 6.8A extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle / 7.11C write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships
6.8B select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight / 6.8B model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes / 7.8A model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas
6.4B use tables of data to generate formulas representing relationships involving perimeter, area, volume of rectangular prism, etc. / 6.8C write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prims where dimensions are positive rational numbers / None
6.8B select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight / 6.8D determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers / 7.9C estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders / 7.9Asolveproblems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids,andtriangular pyramids
7.9A estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes / 7.9B determine the circumference and area of circles
7.9Cdetermine the area of composite figurescontaining combinationsof rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles
7.9Dsolve problems involving thelateral and totalsurface area of a rectangular prism, rectangular pyramid, triangular prism,andtriangular pyramid by determining the area of theshape's net
6.9 The student applies mathematical process standards to use equations and inequalities to represent situations. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.5 formulate equations from problem situations described by linear relationships
7.5B formulate problem situations when given a simple equation and formulate an equation when given a problem situation / 6.9A write one-variable, one-step equations and inequalities to represent constraints or conditions within problems / 7.5B formulate problem situations when given a simple equation and formulate an equation when given a problem situation / 7.10Awrite one-variable,two-step equationsandinequalitiesto represent constraints or conditions withinproblems
6.9B represent solutions for one-variable, one-step equations and inequalities on number lines / 7.10Brepresent solutions for one-variable,two-stepequations and inequalitieson numberlines; and
7.5B formulate problem situations when given a simple equation and formulate an equation when given a problem situation / 6.9C write corresponding real-world problems given one-variable, one-step equations or inequalities / 7.5B formulate problem situations when given a simple equation and formulate an equation when given a problem situation / 7.10Cwrite a corresponding real-world problem given a one-variable,two-stepequationorinequality.
6.10 The student applies mathematical process standards to use equations and inequalities to solve problems. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
7.5A use concrete and pictorial models to solve equations and use symbols to record the actions / 6.10A model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts / 7.5A use concrete and pictorial models to solve equations and use symbols to record the actions / 7.11Amodel and solve one-variable,two-stepequations and inequalities
6.10B determine if the given value(s) make(s) one-variable, one-step equations or inequalities true / 7.11Bdetermineifthegivenvalue(s) make(s) one-variable,two-stepequationsandinequalitiestrue
6.11 The student applies mathematical process standards to use coordinate geometry to identify locations on a plane. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.7 locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers
8.7D locate and name points on a coordinate plane using ordered pairs of rational numbers / 6.11 graph points in all four quadrants using ordered pairs of rational numbers / None
6.12 The student applies mathematical process standards to use numerical or graphical representations to analyze problems. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.10A select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot.
7.11A select and use an appropriate representation for presenting and displaying relationships among collected data, including line plot, line graphs, stem and leaf plots, circle graphs, bar graphs, and Venn diagrams, and justify the selection
8.12C select and use an appropriate representation for presenting and displaying relationships among collected data, including line plot, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams, with and without the use of technology / 6.12A represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots / None
6.10B identify mean (using concrete objects and pictorial models), median, mode, and a range of a set of data
8.12A use variability (range, including interquartile range (IQR)) and select the appropriate measure of central tendency to describe a set of data and justify the choice for a particular situation / 6.12B use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution
6.12C summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and use these summaries to describe the center, spread, and shape of the data distribution
6.12D summarize categorical data with numerical and graphical summaries, including the mode, the percent of values in each category (relative frequency table), and the percent bar graph, and use these summaries to describe the data distribution / 7.12A compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads
6.13 The student applies mathematical process standards to use numerical or graphical representations to solve problems. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.10D solve problems by collecting, organizing, displaying, and interpreting data / 6.13A interpret numeric data summarized in dot plots, stem-and-leaf plots, histograms, and box plots / None
6.13B distinguish between situations that yield data with and without variability / None
6.14 The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one’s life as a knowledgeable consumer and investor. The student is expected to: / Instructional Considerations
Current grade TEKS / New 6th grade TEKS / 2013-14 / 2014-15 / Current grade TEKS / New 7th grade TEKS
6.14A compare the features and costs of a checking account and a debit card offered by different local financial institutions / None
6.14B distinguish between debit cards and credit cards / None
6.14C balance a check register that includes deposits, withdrawals, and transfers / None
6.14D explain why it is important to establish a positive credit history / None
6.14E describe the information on a credit report and how long it is retained / None
6.14F describe the value of credit reports to borrowers and lenders / None
6.14G explain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study / None
6.14H compare the annual salary of several occupations requiring various levels of post-secondary education or vocational training and calculate the effects of the different annual salaries on a lifetime income / None

6th Grade – Deleted Content