5th+Grade+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 are lists, tables, charts, and diagrams used to illustrate mathematical relationships? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How can you identify relationships between pairs of numbers in a table? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· What symbols represent number relationships in an equation? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What is a variable? <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; mso-ansi-language: EN-US; mso-bidi-font-weight: bold; mso-bidi-language: AR-SA; mso-fareast-font-family: Symbol; mso-fareast-language: EN-US;">How are variables used in equations?

__PERIMETER AND AREA__ <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· What is area and how does it relate to the attribute of an individual figure? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· What is perimeter and how does it relate to the attribute of an individual figure? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· What is volume and how does it relate to the attribute of an individual figure? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· What tools and units of measurement can be reasonably used to determine length, area and volume? <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: EN-US;">How can area, perimeter, and volume help us to solve problems in everyday life?

__ STATISTICS __ <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· What are different ways to display data? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How can data be used to answer questions? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· Why is it important to organize data? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What is median? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What is mode? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What is range? <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; mso-ansi-language: EN-US; mso-bidi-font-family: 'Times New Roman'; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: EN-US;">How are coordinates used to find a point a point on a plane?

__ Fractions and Decimals: __ <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How can a whole number be represented by fractional parts of equal sized portions? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What is an equivalent fraction? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What fractional expressions can be used to represent numbers greater than one? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How can you create equivalent fractions? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How do you create an equivalent mixed number for an improper fraction? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How can an improper fraction be generated from a mixed number? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What methods can be used to compare fractions? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How are common denominators used to compare fractions? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What does the denominator represent in a fraction? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What does the numerator represent in a fraction? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How can addition/subtraction of fractions be represented by objects, pictures, words and numbers? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What are real world situations when fractions are used to represent numbers? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What are real world situations when decimals are used to represent numbers? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How can fractions and decimals be written in equivalent forms? <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; mso-ansi-language: EN-US; mso-bidi-font-weight: bold; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: EN-US;">What kinds of models can be used to represent fractions and decimals?

__ PROBABILITY __: <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How can the probability of an event be determined/predicted? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How can the probability of future events be recorded on a scale? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How do experimental results affect predictions for probability? <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; mso-ansi-language: EN-US; mso-bidi-font-family: 'Times New Roman'; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: EN-US;">What is used to determine the total possible outcomes in a situation?

__ GEOMETRY __ <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· What different ways can a shape be moved on a plane or in space? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How does a shape translate? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How does a shape reflect? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How does a shape rotate? <span style="font-family: Symbol; mso-ansi-language: FR; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msoansilanguage: FR; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How is the coordinate system used ? <span style="font-family: Symbol; mso-ansi-language: FR; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msoansilanguage: FR; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· What is used to compare shapes? <span style="font-family: Symbol; mso-ansi-language: FR; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msoansilanguage: FR; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How do the terms parallel, perpendicular, and congruent relate and help identify two and three-dimensional shapes? <span style="font-family: 'Arial','sans-serif'; font-size: 10pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: EN-US;">How do characteristics help identify geometric figures?

__MEASUREMENT__ <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How are units within the same system (customary/metric) related? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What appropriate methods/units of measurement are necessary to produce solutions to real world problems? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How is the TAKS measurement chart useful? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· How does the metric system relate to multiples of 10? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-bidi-font-size: 16.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 16.0pt; msobidifontweight: bold; msofareastfontfamily: Symbol; msolist: Ignore;">· What are the abbreviations for measurement units? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How are lists, tables, charts, and diagrams used to illustrate mathematical relationships? <span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msofareastfontfamily: Symbol; msolist: Ignore;">· How can you identify relationships between pairs of numbers in a table? **