MATH+ESSENTIAL+QUESTIONS


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

__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?**