Greater Nanticoke Area School District Math Standards: Grade 6

Transcription

1 Greater Nanticoke Area School District Math Standards: Grade 6 Standard 2.1 Numbers, Number Systems and Number Relationships CS2.1.8A. Represent and use numbers in equivalent forms 43. Recognize place value for decimals to millionths 44. Compare and order decimals 45. Write equivalent fractions 46. Use integers to represent a given situation 47. Represent fractions as decimals and decimals as fractions 48. Represent percents as decimals and decimals as percents 49. Represent fractions as percents and percents as fractions CS2.1.8B. Simplify numerical expressions involving exponents and scientific notation, using order of operations 51. Identify base and exponent 52. Write in exponential form 53. Write in factored form 54. Write a number in scientific notation 55. Change a number in scientific notation to standard form CS2.1.8D. Apply ratio and proportion to mathematical problem situations involving situations, rate, time and similar triangles 58. Compare two sets of data using ratios with appropriate notation such as a/b or a:b, or a to b 59. Decide whether two ratios form a proportion 60. Set up a ratio using similar triangles CS2.1.8E. Simplify and expand algebraic expressions using exponential forms 62. Identify powers of 10 up to Use exponents to simplify algebraic expression 64. Rewrite algebraic expressions without exponents CS2.1.8G. Use the inverse relationships between addition, subtraction, multiplication, division, exponentiation and root extraction to determine unknown quantities in equations 67. Solve missing addend equations by using addition or subtraction property of equality 68. Solve missing factor equations by using the multiplication or division property of equality CS2.2.8B. Add, subtract, multiply and divide different kinds and forms of rational numbers including integers, decimals, percents and proper and improper fractions 103. Add and subtract rational numbers: a. Decimals b. Fractions with like denominators c. Fractions with unlike denominators Sixth Grade Math Standards 1

2 104. Multiply and divide rational numbers: a. Decimals b. Fractions 105. Calculate the percent of a number Standard 2.2 Computation and Estimation CS2.2.8D. Estimate the amount of tips and discounts using ratios, proportions and percents 108. Estimate the percent of a number using rounding or compatible numbers 109. Use mental math to find the percent of a number CS2.2.8E. Determine the appropriateness of overestimating or underestimating in computation 110. Determine whether to round up or down in computation CS2.2.8F. Identify the difference between exact value and approximate and determine which is appropriate for a given 111. Make an estimate and compare it to the exact value 112. Decide when an estimate is appropriate Standard 2.3 Measurement and Estimation CS2.3.8A. Develop formulas and procedures for determining measurements 131. Given a formula and measurements, calculate the measurement of: a. The circumference of a circle b. The areas of triangles and rectangles c. The areas of parallelograms and trapezoids d. The area of circles e. The surface area of prisms and cylinders CS2.3.8B. Solve rate problems 132. Solve simple interest problems CS2.3.8C. Measure angles in degrees and determine relations of angles 134. Measure angles in degrees using a protractor CS2.3.8D. Estimate, use, and describe measures of distance, rate, perimeter, area, volume, weight, mass, and angles 137. Estimate: a. Perimeter of a polygon b. Weight and mass of an object b. Area of a polygon c. Distance and rate of an object Sixth Grade Math Standards 2

3 138. Compare units of measure between the customary system and the metric system 139. Convert units of measure between the customary system and the metric system CS2.3.8E. Describe how a change in linear dimension of an object affects its perimeter, area and volume 140. Describe how a change in one linear dimension of an object: a. Affects another linear dimension Standard 2.4 Mathematical Reasoning and Connections CS2.4.8A. Make conjectures based on logical reasoning and test conjectures by using counter examples 156. Solve problems using guess and check CS2.4.8D. Construct, use and explain algorithmic procedures for computing and estimating with whole numbers, fractions, decimals, and integers 159. Construct, use and explain algorithmic procedures for computing with whole numbers, fractions, decimals, and integers 160. Construct, use and explain algorithmic procedures for estimating with whole numbers, fractions, decimals, and integers CS2.4.8F. Use measurements and statistics in family and consumer science situations 162. Use measurements to solve problems in family and consumer science situations Standard 2.5 Mathematical Problem Solving and Communications CS2.5.8B. Verify and interpret results using precise language, notation and representations, including numeric tables and equations, simple algebraic equations and formulas, charts, graphs, and diagrams 186. Verify and interpret results using precise language, notation and representations: a. Charts, graphs and diagrams CS2.5.8C. Justify strategies and defend approaches used and conclusions reached 187. Justify strategies and defend approach es used to solve problems Standard 2.6 Statistics and Data Analysis CS2.6.8A. Compare and contrast different plots of data using values of mean, median, mode, quartiles and range Sixth Grade Math Standards 3

4 203. Compare and contrast different plots of data using: a. Mean, median and mode b. Quartiles and range CS2.6.8B. Explain effects of sampling procedures and missing or incorrect information on reliability 204. Explain effects on reliability: a. Of missing or incorrect information b. Of sampling procedures CS2.6.8E. Analyze and display data in stem-and-leaf and box-and-whisker plot 209. Analyze and display data: a. In stem-and -leaf plots Standard 2.7 Probability and Predictions CS2.7.8A. Determine the number of combinations and permutations for an event 229. Determine the number of permutations for an event CS2.7.8B. Present the re sult of an experiment using visual representations 231. Present the results of an experiment: a. Using tables or charts CS2.7.8D. Compare and contrast results from observations and mathematical models 233. Compare and contrast results: a. From observations CS2.7.8E. Make valid inferences, predictions and arguments based on probability 235. Make valid inferences based on probability Standard 2.8 Algebra and Functions CS2.8.8A. Apply simple algebraic patterns to basic number theory and to spatial relationships 269. Apply simple algebraic patterns: a. To basic number theory CS2.8.8B. Discover, discover and generalize patterns, including linear, exponential and simple quadratic relationships 270. Discover and describe patterns, including linear relationships 271. Discover, describe, and generalize patterns, including: a. Linear relationships b. Exponential and simple quadratic relationships Sixth Grade Math Standards 4

5 CS2.8.8C. Create and interpret expressions, equations or inequalities that model problem situations 272. Create and interpret expressions that model problem situations. CS2.8.8E. Select and use a strategy to solve an equation or inequality, explain the solution and check the solution for accuracy 276. Select and use a strategy to: a. Solve an equation, explain the solution, and check the solution for accuracy CS2.8.8F. Solve and graph equations and inequalities using scientific and graphing calculators and computer spreadsheets 277. Solve equations and inequalities using scientific calculators CS2.8.8G. Represent relationships with tables or graphs in the coordinate plane and verbal or symbolic rules 279. Represent relationships: a. With tables or graphs in the coordinate plane b. With verbal or symbolic rules CS2.8.8H. Graph a linear function from a rule or table 280. Graph a linear function: a. From a table b. From a rule Standard 2.9 Geometry CS2.9.8B. Draw, label, measure, and list the properties of complementary, supplementary and vertical angles 328. Draw and label complementary, supplementary and vertical angles CS2.9.8D. Identify, name, draw, and list all properties of squares, cubes, pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles and triangles 331. Identify, name, and draw squares, parallelograms, trapezoids, polygons, rectangles, rhombi, circles and triangles CS2.9.8F. Distinguish between similar and congruent polygons 337. Distinguish between similar and congruent: a. Quadrilaterals CS2.9.8H. Use simple geometric figures such as triangles and squares to create, through rotation, transformational figures in three dimensions 341. Use triangles to create through rotation, transformational figures in three dimensions Sixth Grade Math Standards 5