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Berlin Community School 5 Math(Master) Teacher: Grade 5 Month September 2008 October 2008 Content Skills Assessment A. Place Value A. Identify the place value of whole numbers through billions and decimals through ten-thousandths. A. Multiple choice and open answer tests. B. Compare and Order Numbers B. Compare and order whole numbers and decimals. B. Mutiple choice and open answers tests C. Addition and Subtraction C. Show the ability to add and subtract whole numbers and decimals. C. Mutiple choice and open answers tests D. Estimation D. Explain estimating sums and differences of whole numbers and decimals. D. Mutiple choice and open answers tests E. Problem Solve E1. Apply the four-step process to solve problems. E2. Solve problems by finding a pattern. E. Mutiple choice and open answers tests A. Multiplication A1. Multiply whole numbers by multiples of 10. A2. Apply the distributive property to multiply. A3. Multiply up to 3-digit numbers. A4. Multiply whole numbers by decimals. A5. Multiply decimals by decimals. A-E. Observations through problems solved on the board, oral and written explanations of solving the problems, accurate completion of workbook pages, and tests. Materials Mathematics , McGraw-Hill; Co 2002 A-E. Base ten blocks, counting chips, graphic organizers, playing cards, journals, dry erase boards, smart board, scissors, colored pencils 10-by-10 grids. Mathematics , McGraw-Hill; Co 2002 A-E. Base ten blocks, counting chips, graphic organizers, playing cards, journals, dry erase boards, smart board. B. Properties of Multiplication B. Explain the properties of multiplication. -Distributive, zero, commutitive, associative, and identity. C. Estimation C. Estimate products of whole numbers and decimals. www.curriculummapper.com 1 of 6 5 Math(Master) Grade 5 Month Content Berlin Community School Skills Assessment Materials D. Problem Solving D1. Determine if a problem needs an estimate or an exact answer. D2. Solve problems by using the guessand-check strategy. D3. Apply multiplication to making decisions. E. Exponents November 2008 A. Problem Solve E. Evaluate expressions with exponents. A1. Solve problems by using the guessand-check method. A2. Interpret remainders to solve problems. A3. Solve a division problem using the work-backward strategy. A4. Show a variety of strategies to solve problems that apply various skills. A-C. Observations through problems solved on the board, oral and written explanations of solving the problems, accurate completion of workbook pages, and quizzes. Mathematics , McGraw-Hill; Co 2002 A-C. Base ten blocks, counting chips, graphic organizers, playing cards, journals, dry erase boards, smart board, scissors, colored pencils. A-B. Observations through problems solved on the board, oral and written explanations of solving the problems, accurate completion of workbook pages, and quizzes Mathematics , McGraw-Hill; Co 2002 A-E. Base ten blocks, counting chips, graphic organizers, playing cards, journals, dry erase boards, smart board. B. Division B1. Apply the relationship of division to multiplication to solve division problems. B2. Divide whole numbers by 1-digit numbers. (4.1.B.3) B3. Divide whole numbers by 2-digit and 3-digit divisors. (4.1.B.3) B4. Divide decimals by whole numbers. (4.1.A.1) C. Estimation C. Divide by multiples of 10, 100, 1,000, and 10,000 and use compatible numbers to estimate quotients. (4.1.C.1) December 2008 A. Estimation A. Divide by multiples of 10, 100, 1,000, and 10,000 and use compatible numbers to estimate quotients. (4.1.C.1) B. Data, Statistics, and Graphs B1. Collect and organize data. B2. Point out and differentiate range, mode, median, and mean. www.curriculummapper.com 2 of 6 5 Math(Master) Grade 5 Month Content Berlin Community School Skills Assessment Materials B3.. Produce pictographs, bar graphs, histograms, line graphs, and stem-and-leaf plots. January 2009 February 2009 A. Number Theory and Fraction Concepts. A1. Apply divisibility rules for 2, 3, 5, 6, 9, and 10. A2. Compare primes and composites. A3. Identify common factors and the greatest common factor for two numbers. A4. Draw and write a fraction to represent a part of a whole or part of a group. A5. Recognize equivalent fractions. A6. Rewrite fractions in simplest form. B. Problem Solving B. Identify extra or missing information. C. Number Theory and Fraction Concepts C1. Locate the least common multiples and the least common denominator. C2. Convert fractions, decimals, and percents. C3. Rewrite mixed numbers as improper fractions and decimals and improper fractions and decimals as mixed numbers. C4. Compare and order mixed numbers, whole numbers, decimals, fractions, and percents. A1. Add and subtract fractions and mixed numbers with like denominators. A2. Add and subtract fractions with unlike denominators. A3. Add and subtract mixed numbers with unlike denominators. A4. Estimate sums and differences of mixed numbers A. Add and Subtract Fractions B. Multiply and Divide Fractions A-C. Observations through problems solved on the board, oral and written explanations of solving the problems, accurate completion of workbook pages, and quizzes Mathematics , McGraw-Hill; Co 2002 A. Graph paper, index cards, newspapers, tape measure. B-C. Base ten blocks, fraction strips, graphic organizers, index cards, journals, dry erase boards, smart board. A-B. Observations through problems solved on the board, oral and written explanations of solving the problems, accurate completion of workbook pages, and quizzes Mathematics , McGraw-Hill; Co 2002 A-B. Graph paper, spinners, play money, graphic organizers, fraction strips, journals, dry erase boards, smart board. B1. Multiply a whole number by a fraction. www.curriculummapper.com 3 of 6 5 Math(Master) Grade 5 Month Content Berlin Community School Skills Assessment Materials B2. Multiply a fraction by a fraction. B3. Infer to solve multistep problems B4. Multiply with mixed numbers, fractions and whole numbers B5. Estimate products with mixed numbers, whole numbers and fractions. B6. Solve problems by making an organized list. B7. Apply properties of multiplication to fractions, mixed, and whole numbers. B8. Divide fractions and mixed numbers B9. Identify reciprocals and divide fractions B10. Apply multiplying and dividing fractionsto analyze data and make decisions. March 2009 A. Integers A1. Identify integers on a number line. A1. Compare and order integers A2. Add integers A3. Subtract integers A4. Solve problems using more then one method. A5. Apply integers to analyze data and make decisions. B. Ratio and Probability B1. Categorize ratios in three different ways. B2. Produce equivalent ratios and determine whether two ratios are equivalent. A-C. Observations through problems solved on the board, oral and written explanations of solving the problems, accurate completion of workbook pages, and quizzes Mathematics , McGraw-Hill; Co 2002 A-C. Graphic organizers, spinners, fraction strips, place value chart, journals, poster board, graph paper, dry erase boards, smart board, construction paper, index cards, scissors, tape. C. Percent C1. Identify and interrelate percents to fractions, ratios, and decimals. C2. Rewrite percents as decinals and fractions; rewrite decimals and fractions as percents. C3. State the percent of a number. C4. State the percent one number is of another. www.curriculummapper.com 4 of 6 5 Math(Master) Grade 5 Month April 2009 Content A. Geometry B. Perimeter, Area, and Volume May 2009 A. Measurement Berlin Community School Skills C5. Solve problems by making venn diagrams. C6. Interpret and make circle graphs C7. Apply percents to analyze data and make decisions. A1. Describe and name points, lines, line segments, endpoints, and rays. A1. Classify polygons A2. Classify and measure angles A3. Classify triangles A3. Solve for problems using the fact that the measures of the angles of a triangle are 180 degrees. A4. Classify quadrilaterals. A4. Solve problems using the fact that the measures of the angles of a quadrilateral are 360 degrees. A5. Describe and illustrate congruent and similar figures . A6. Identify translations, reflections, and rotations. A7. Describe and sketch circles and parts of a circle. B1. Solve for the perimeter of a polygon B2. Solve for the area of rectangles and squares. B3. Solve for the area of parallelograms and rhombuses. B4. Solve for the area of triangles. B5. Solve for the circumfrence of circles. B6. Solve for the area of circles. B7. Identify and describe a 3-dimensional figure. B8. Apply perimeter, area, and volume to make decisions. A1. Identify elapsed time, and change of units of time. A2. Estimate and measure in customary Assessment A-B. Observations through problems solved on the board, oral and written explanations of solving the problems, accurate completion of workbook pages, and quizzes Materials Mathematics , McGraw-Hill; Co 2002 A. Protractors, construction paper, scissors, graphic organizers, journals, dry erase boards, smart board, rulers, toothpicks, straws, colored pencils, graph paper. B. Measuring tools, graph paper, paper clips, place value models, construction paper, scissors, metric ruler, compass, drawing paper, string, magazines, photos. A-B. Observations through problems solved on the board, oral and written explanations of solving the problems, Mathematics , McGraw-Hill; Co 2002 A-B. Rulers, meter sticks, measuring cups, stopwatch, model clock, paperclips, 12 oz www.curriculummapper.com 5 of 6 5 Math(Master) Grade 5 Month Content Berlin Community School Skills units. A3. Estimate and measure length in metric units. A4. Measure capacity and mass in metric units A5. Convert from one metric unit to another. A6. Calculate measurement in degrees Fahrenhiet, given the Celsius temperature. B. Algebra 1. Addition/subtraction 2. Multiplication/division 3. Equations 4. Graphs June 2009 A. Algebra 1. Addition/subtraction 2. Multiplication/division 3. Equations 4. Graphs Assessment accurate completion of workbook pages, and quizzes. Materials cans, 1 gallon jugs, rulers, graphic organizers, journals, dry erase boards, smart board. B1. Evaluate and write addition and subtraction expressions. B2. Evaluate and write multiplication and division expressions. B3. Illustrate situations and patterns with tables, words, and equations. B4. Show ordered pairs on a graph and graph linear equations. A1. Evaluate and write addition and subtraction expressions. A2. Evaluate and write multiplication and division expressions. A3. Illustrate situations and patterns with tables, words, and equations. A4. Show ordered pairs on a graph and graph linear equations. www.curriculummapper.com 6 of 6