· How do place values compare? · What patterns can we identify in the places of numbers? · How does the position of a number determine its value? · What is the purpose of the decimal place? · How are decimal numbers different from whole numbers? · What methods can be used to solve mathematical/real world problems? · How can we determine which skills or strategies can be used to simplify the problem solving process? · How can we determine reasonable results when solving problems? · How do we know whether to estimate or compute for exact answers? How does partitioning of numbers and using flexible methods make computation easier?

PATTERNS AND RELATIONSHIPS

· What are characteristics of even/odd numbers? · What are characteristics of prime/composite numbers? · How do you write a whole number as a set of factors? · How can divisibility rules assist you in finding factors of a number? · How are patterns recognized, extended, and generalized with both words and symbols? · How are lists, tables, charts, and diagrams used to illustrate mathematical relationships? · How can you identify relationships between pairs of numbers in a table? · What symbols represent number relationships in an equation? · What is a variable? How are variables used in equations?

PERIMETER AND AREA · What is area and how does it relate to the attribute of an individual figure? · What is perimeter and how does it relate to the attribute of an individual figure? · What is volume and how does it relate to the attribute of an individual figure? · What tools and units of measurement can be reasonably used to determine length, area and volume? How can area, perimeter, and volume help us to solve problems in everyday life?

STATISTICS · What are different ways to display data? · How can data be used to answer questions? · Why is it important to organize data? · What is median? · What is mode? · What is range? How are coordinates used to find a point a point on a plane?

Fractions and Decimals: · How can a whole number be represented by fractional parts of equal sized portions? · What is an equivalent fraction? · What fractional expressions can be used to represent numbers greater than one? · How can you create equivalent fractions? · How do you create an equivalent mixed number for an improper fraction? · How can an improper fraction be generated from a mixed number? · What methods can be used to compare fractions? · How are common denominators used to compare fractions? · What does the denominator represent in a fraction? · What does the numerator represent in a fraction? · How can addition/subtraction of fractions be represented by objects, pictures, words and numbers? · What are real world situations when fractions are used to represent numbers? · What are real world situations when decimals are used to represent numbers? · How can fractions and decimals be written in equivalent forms? What kinds of models can be used to represent fractions and decimals?

PROBABILITY: · How can the probability of an event be determined/predicted? · How can the probability of future events be recorded on a scale? · How do experimental results affect predictions for probability? What is used to determine the total possible outcomes in a situation?

GEOMETRY · What different ways can a shape be moved on a plane or in space? · How does a shape translate? · How does a shape reflect? · How does a shape rotate? · How is the coordinate system used ? · What is used to compare shapes? · How do the terms parallel, perpendicular, and congruent relate and help identify two and three-dimensional shapes? How do characteristics help identify geometric figures?

MEASUREMENT · How are units within the same system (customary/metric) related? · What appropriate methods/units of measurement are necessary to produce solutions to real world problems? · How is the TAKS measurement chart useful? · How does the metric system relate to multiples of 10? · What are the abbreviations for measurement units? · How are lists, tables, charts, and diagrams used to illustrate mathematical relationships? · How can you identify relationships between pairs of numbers in a table?

NUMBER SENSE AND OPERATIONS· How do place values compare?

· What patterns can we identify in the places of numbers?

· How does the position of a number determine its value?

· What is the purpose of the decimal place?

· How are decimal numbers different from whole numbers?

· What methods can be used to solve mathematical/real world problems?

· How can we determine which skills or strategies can be used to simplify the problem solving process?

· How can we determine reasonable results when solving problems?

· How do we know whether to estimate or compute for exact answers?

How does partitioning of numbers and using flexible methods make computation easier?

PATTERNS AND RELATIONSHIPS· What are characteristics of even/odd numbers?

· What are characteristics of prime/composite numbers?

· How do you write a whole number as a set of factors?

· How can divisibility rules assist you in finding factors of a number?

· How are patterns recognized, extended, and generalized with both words and symbols?

· How are lists, tables, charts, and diagrams used to illustrate mathematical relationships?

· How can you identify relationships between pairs of numbers in a table?

· What symbols represent number relationships in an equation?

· What is a variable?

How are variables used in equations?

PERIMETER AND AREA· What is area and how does it relate to the attribute of an individual figure?

· What is perimeter and how does it relate to the attribute of an individual figure?

· What is volume and how does it relate to the attribute of an individual figure?

· What tools and units of measurement can be reasonably used to determine length, area and volume?

How can area, perimeter, and volume help us to solve problems in everyday life?

STATISTICS· What are different ways to display data?

· How can data be used to answer questions?

· Why is it important to organize data?

· What is median?

· What is mode?

· What is range?

How are coordinates used to find a point a point on a plane?

Fractions and Decimals:· How can a whole number be represented by fractional parts of equal sized portions?

· What is an equivalent fraction?

· What fractional expressions can be used to represent numbers greater than one?

· How can you create equivalent fractions?

· How do you create an equivalent mixed number for an improper fraction?

· How can an improper fraction be generated from a mixed number?

· What methods can be used to compare fractions?

· How are common denominators used to compare fractions?

· What does the denominator represent in a fraction?

· What does the numerator represent in a fraction?

· How can addition/subtraction of fractions be represented by objects, pictures, words and numbers?

· What are real world situations when fractions are used to represent numbers?

· What are real world situations when decimals are used to represent numbers?

· How can fractions and decimals be written in equivalent forms?

What kinds of models can be used to represent fractions and decimals?

PROBABILITY:· How can the probability of an event be determined/predicted?

· How can the probability of future events be recorded on a scale?

· How do experimental results affect predictions for probability?

What is used to determine the total possible outcomes in a situation?

GEOMETRY· What different ways can a shape be moved on a plane or in space?

· How does a shape translate?

· How does a shape reflect?

· How does a shape rotate?

· How is the coordinate system used ?

· What is used to compare shapes?

· How do the terms parallel, perpendicular, and congruent relate and help identify two and three-dimensional shapes?

How do characteristics help identify geometric figures?

MEASUREMENT· How are units within the same system (customary/metric) related?

· What appropriate methods/units of measurement are necessary to produce solutions to real world problems?

· How is the TAKS measurement chart useful?

· How does the metric system relate to multiples of 10?

· What are the abbreviations for measurement units?

· How are lists, tables, charts, and diagrams used to illustrate mathematical relationships?

· How can you identify relationships between pairs of numbers in a table?