6.2E extend representations for division 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 Current grade TEKS New 6th TEKS 2013-14 2014-15 Current grade TEKS New 7th 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 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
division to solve problems involving fractions and decimals 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 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 to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area 6.4A 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 7.4A generate 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 of change in mathematical and problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d=rt
6.3A use ratios to describe proportional situations 6.4D give examples of as the comparison by division of two quantities having different attributes, including rates as quotients 7.4A generate 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 problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d=rt 6.3B represent ratios and percents with concrete models, fractions, and decimals 6.4E represent ratios and percents with concrete models, fractions, and decimals 6.4F represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 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 forms of rational numbers including whole numbers, fractions, and decimals 6.4G generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money
6.8D convert measures within the same measurement system (customary and metric) based on relationships between units 6.4H convert within a measurement system, including the use of proportions and unit rates 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 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 rate of change), perimeter and area 6.5A represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions 7.4A generate 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 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
scaling, unit costs, and related measurement units 6.1B generate equivalent of rational numbers including whole numbers, fractions, and decimals 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 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 Current grade TEKS New 7th TEKS 6.1D write prime factorizations using exponents 6.2E use order of operations to simplify whole number expressions (without exponents) in problem 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
6.5 formulate equations from problem situations described by linear relationships 7.5B formulate problem situations when a simple equation and formulate an equation when given a problem situation 6.9A write one-variable, 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 7.10A write one-variable, two-step equations and inequalities to represent constraints or conditions within problems 6.9B represent solutions for one-step equations and inequalities on number lines 7.10B represent solutions for two-step equations and inequalities on number lines; and 7.5B formulate problem situations when given a simple equation and formulate an equation when given a problem situation 6.9C write corresponding problems given one-step equations or inequalities 7.5B formulate problem situations when given a simple equation and formulate an equation when given a problem situation 7.10C write a corresponding problem given a equation or inequality. 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 TEKS 2013-14 2014-15 Current grade TEKS New 7th grade TEKS