Delaware City Schools Consensus Maps Month September 2008 Content/Essential Questions Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Grade 6 Math Skills Number and Operations Measurement 2.E.4 Power Indicator: Determine which measure(perimeter, area, surface area, volume) matches the context for a problem situation; e.g., perimeter is the context for for fencing a garden, surface area is the context for painting a room. 2.G.5-Understand the difference between perimeter and area, and demonstrate that two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters. Geometry Patterns, Functions & Algebra Data Analysis 5.A.1 Power Indicator: Read, construct and interpret line graphs, circle graphs and histograms. 5.B.5-Describe the frequency distribution of a set of data, as shown in a histogram or frequency table, by general appearance or shape; e.g., number of modes, middle of data, level of symmetry, outliers. 5.D.3- Compare representations of the same data in different types of graphs, such as a bar graph and circle graph. 5.E.2-Select, create and use graphical representations that are appropriate for the type of data collected. 5.F.4-Understand the different information provided by measures of center (mean, mode and median) and measures of spread (range). 5.G.6-Make logical inferences from statistical data. Activities/Resources Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis August/ September Everyday Math Units 1 & 2 Assessment 1.Study Island Pre-Test 2. Study Island Topics: A. Interpret Graphs B. Central Tendency C. Frequency Distribution Lessons 1.1 - 2.3 Factor Captor Landmark Shark 1st to 100 www.curriculummapper.com 1 of 9 Grade 6 Math Month October 2008 November 2008 Content/Essential Questions Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Skills Delaware City Schools Consensus Maps Activities/Resources Number and Operations 1.G.1-Decompose and recompose whole numbers using factors and exponents (e.g., 32 = 2 x 2 x 2 x 2 x 2 = 25 ), and explain why squared means second power and cubed means third power. 1.I.11-Perform fraction and decimal computations and justify their solutions; e.g., using manipulatives, diagrams, mathematical reasoning. 1.H.12-Develop and analyze algorithms for computing with fractions and decimals, and demonstrate fluency in their use. Measurement Geometry Patterns, Functions & Algebra 4.A.2-Solve simple linear equations and inequalities using physical models, paper and pencil, tables and graphs. Data Analysis Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Number and Operations 1.G.2 Power Indicator: Find and use the prime factorization of composite numbers. For example: a. Use the prime factorization to recognize the greatest common factor (GCF). b. Use the prime factorization to recognize the least common multiple (LCM). c. Apply the prime factorization to solve problems and explain solutions. Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Everyday Math Units 2 & 3 Lessons 2.4 - 3.3 Factor Captor Landmark Shark 1st to 100 Exponent Ball Everyday Math Units 3 & 4 Lessons 3.4 - 4.4 Assessment 1. Study Island Topics: A. Multiply & Divide Fractions & Decimals B. Compute Solutions C. Estimate Solutions D. Real World Problems 2. Term-One Common Assessment Study Island Topics: A. Prime Factorization B. Ratios C. Proportions & Percents D. Order of Operations E. Integers Factor Captor Landmark Shark 1st to 100 Exponent Ball Angle Tangle 2 of 9 Grade 6 Math Month Content/Essential Questions Skills Delaware City Schools Consensus Maps Activities/Resources Assessment 1.I.13-Estimate reasonable solutions to problem situations involving fractions and decimals; e.g.,7/8+12/13 congruent to 2 and 4.23 x 5.8 congruent to 25. Measurement 2.C.3-Estimate perimeter or circumference and area for circles, triangles and quadrilaterals, and surface area and volume for prisms and cylinders by: a. estimating lengths using string or links, areas using tiles or grid,and volumes using cubes; b. measuring attributes (diameter, side lengths, or heights) and using established formulas for circles, triangles, rectangles, parallelograms and rectangular prisms. Geometry Patterns, Functions & Algebra 4.A.1-Represent and analyze patterns, rules and functions, using physical materials, tables and graphs. 4.C.5-Produce and interpret graphs that represent the relationship between two variables. 4.C.6-Evaluate simple expressions by replacing variables with given values, and use formulas in problemsolving situations. 4.M.8-Use technology to analyze change; e.g., use computer applications or graphing calculators to display and interpret rate of change. Data Analysis December 2008 Number and Operations Measurement Geometry Number and Operations 1.C.4-Describe what it means to find a specific percent of a number, using Number and Operations Measurement Geometry Study Island Topics: A. Prime Factorization B. Ratios 3 of 9 Grade 6 Math Month Content/Essential Questions Patterns, Functions & Algebra Data Analysis January 2009 Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Skills real-life examples. 1.I.11-Perform fraction and decimal computations and justify their solutions; e.g., using manipulatives, diagrams, mathematical reasoning. 1.H.12-Develop and analyze algorithms for computing with fractions and decimals, and demonstrate fluency in their use. 1.I.13-Estimate reasonable solutions to problem situations involving fractions and decimals; e.g.,7/8+12/13 congruent to 2 and 4.23 x 5.8 congruent to 25. Measurement Geometry Patterns, Functions & Algebra Data Analysis Number and Operations 1.I.7-Use simple expressions involving integers to represent and solve problems; e.g., if a running back loses 15 yards on the first carry but gains 8 yards on the second carry, what is the net gain/loss? 1.H.8-Represent multiplication and division situations involving fractions and decimals with models and visual representations; e.g., show with pattern blocks what it means to take 2 2/3 divided by 1/6 . 1.I.10-Recognize that a quotient may be larger than the dividend when the divisor is a fraction; e.g., 6 divided by 1/2 = 12. Measurement 2.C.2-Use strategies to develop formulas for finding circumference and area of circles, and to determine the area of Delaware City Schools Consensus Maps Activities/Resources Patterns, Functions & Algebra Data Analysis Assessment C. Proportions & Percents D. Order of Operations E. Integers Everyday Math Unit 4 Lessons 4.5 - 4.11 Factor Captor Landmark Shark 1st to 100 Exponent Ball Angle Tangle Credit/Debit Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis 1. Study Island Topics: A. Circles B. Perimeter & Area C. Surface Area & Volume D. Triangles Everyday Math Units 5 & 6 Lessons 5.1 - 6.3 2. Term-Two Common Assessment Factor Captor Landmark Shark 1st to 100 Exponent Ball Angle Tangle Credit/Debit Multiplication Wrestling 4 of 9 Grade 6 Math Month Content/Essential Questions Skills Delaware City Schools Consensus Maps Activities/Resources Assessment sectors; e.g., 1/2, 2/3, 1/3 and 1/4 of a circle. Geometry 3.D.1-Classify and describe twodimensional and three-dimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides 3.D.2-Power Indicator-Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and other vocabulary as appropriate. 3.G.3-Use multiple classification criteria to classify triangles; e.g., right scalene triangle. 3.D.4-Identify and define relationships between planes; i.e., parallel,perpendicular and intersecting. 3.H.5-Predict and describe sizes, positions and orientations of twodimensional shapes after transformations such as reflections, rotations, translations and dilations. 3.I.7-Build three-dimensional objects with cubes, and sketch the two-dimensional representations of each side; i.e., projection sets. Patterns, Functions & Algebra Data Analysis February 2009 Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Number and Operations 1.D.3-Recognize and generate equivalent forms of algebraic expressions, and explain how the commutative, associative and distributive properties can be used to generate equivalent forms; e.g., perimeter Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis 1. Study Island Topics: A. Circles B. Perimeter & Area C. Surface Area & Volume D. Triangles Everyday Math Units 6 & 7 5 of 9 Grade 6 Math Month Content/Essential Questions Skills as 2(l + w) or 2l + 2w. 1.E.6 Power Indicator: Use the order of operations, including the use of exponents, decimals and rational numbers, to simplify numerical expressions. Measurement Geometry Patterns, Functions & Algebra 4.D.3 Power Indicator: Recognize and generate equivalent forms of algebraic expressions, and explain how the commutative, associative and distributive properties can be used to generate equivalent forms; e.g., perimeter as 2(l + w) or 2l + 2w. Delaware City Schools Consensus Maps Activities/Resources Assessment Lessons 6.4 - 7.3 Factor Captor Landmark Shark 1st to 100 Exponent Ball Angle Tangle Credit/Debit Multiplication Wrestling Algebra Election 4.H.4-Solve simple linear equations and inequalities using physical models, paper and pencil, tables and graphs. 4.K.4-Solve simple linear equations and inequalities using physical models, paper and pencil, tables and graphs. Data Analysis 4.K.7-Identify and describe situations with constant or varying rates of change, and compare them. March 2009 Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Number and Operations 1.D.3-Explain why a number is referred to as being rational, and recognize that the expression a/b can mean a parts of size 1/b each, a divided by b, or the ratio of a to b. 1.D.5-Use models and pictures to relate concepts of ratio, proportion and percent, including percents less than 1 and greater than 100. Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Everyday Math Units 7 & 8 Lessons 7.4 - 8.6 Factor Captor 1. Study Island Topics: A. Object Transformations B. Similar Figures C. Drawing Objects D. Algebraic Expressions 2. Term-Three Common Assessment 6 of 9 Grade 6 Math Month April 2009 Content/Essential Questions Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Skills Delaware City Schools Consensus Maps Activities/Resources Lessons 1.11, 5.3, 8.1, 8.2, 8.8 1.E.6 Power Indicator: Use the order of operations, including the use of exponents, decimals and rational numbers, to simplify numerical expressions. 1.D.9-Give examples of how ratios are used to represent comparisons; e.g., part-to-part, part-to-whole, whole-to-part. lesson 8.6 1.I.14-Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions. 1.I.15-Determine the percent of a number and solve related problems; e.g., find the percent markdown if the original price was $140, and the sale price is $100. lesson 8.5 Measurement, Geometry Patterns, Functions & Algebra 4.L.7-Identify and describe situations with constant or varying rates of change, and compare them. Data Analysis Landmark Shark 1st to 100 Exponent Ball Angle Tangle Credit/Debit Multiplication Wrestling Algebra Election Guess That Number Number and Operations 1.C.4-Describe what it means to find a specific percent of a number, using real-life examples. 1.C.5-Use models and pictures to relate concepts of ratio, proportion and percent, including percents less than 1 and greater than 100. 1.D.9-Give examples of how ratios are used to represent comparisons; e.g., part-to-part, part-to-whole, whole-to-part. 1.I.14-Use proportional reasoning, ratios and percents to represent problem situations and determine the Number and Operations Measurement Geometry Patterns, Functions & Algebra Data Analysis Everyday Math Units 8 & 9 Lessons 8.7 - 9.7 Assessment 1. Ohio Achievement Test Study Island Topics: A. Rational Numbers B. Planes C. Linear Equations & Inequalities D. Probability 2. Factor Captor Landmark Shark 1st to 100 Exponent Ball Angle Tangle 7 of 9 Grade 6 Math Month May/June 2009 Content/Essential Questions Number and Operations Measurement Geometry Skills Delaware City Schools Consensus Maps Activities/Resources reasonableness of solutions. Measurement 2.F.6-Describe what happens to the perimeter and area of a two-dimensional shape when the measurements of the shape are changed; e.g. length of sides are doubled. 2.F.1 Power Indicator: Understand and describe the difference between surface area and volume. Geometry 3.D.1-Classify and describe twodimensional and three-dimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides. 3.D.2 Power Indicator: Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and other vocabulary as appropriate. 3.H.5-Predict and describe sizes, positions and orientations of two-dimensional shapes after transformations such as reflections, rotations, translations and dilations. 3.F.6 and 3.J.6 Power Indicator: Draw similar figures that model proportional relationships; e.g., model similar figures with a 1 to 2 relationship by sketching two of the same figure, one with corresponding sides twice the length of the other. Patterns, Functions & Algebra Data Analysis Credit/Debit Multiplication Wrestling Algebra Election Guess That Number Fraction/ Percent Bingo Baseball Multiplication Top-It Frac-Tac-Toe Hidden Treasure Number and Operations Measurement 2.C.3-Estimate perimeter or Number and Operations Measurement Geometry Assessment 1. Common Assessment: Study Island Post-Test 6th Grade 8 of 9 Grade 6 Math Month Content/Essential Questions Patterns, Functions & Algebra Data Analysis Skills circumference and area for circles, trianglesand quadrilaterals, and surface area and volume for prisms and cylinders by: a. estimating lengths using string or links, areas using tiles or grid,and volumes using cubes; b. measuring attributes (diameter, side lengths, or heights) and using established formulas for circles, triangles, rectangles, parallelograms and rectangular prisms. Geometry 3.D.1-Classify and describe twodimensional and three-dimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides. 3.D.2 Power Indicator; Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and other vocabulary as appropriate. 3.H.5-Predict and describe sizes, positions and orientations of two-dimensional shapes after transformations such as reflections, rotations, translations and dilations. 3.F.6 and 3.J.6; Power IndicatorDraw similar figures that model proportional relationships; e.g., model similar figures with a 1 to 2 relationship by sketching two of the same figure, one with corresponding sides twice the length of the other. Patterns, Functions & Algebra Data Analysis Delaware City Schools Consensus Maps Activities/Resources Patterns, Functions & Algebra Data Analysis Assessment 2. Study Island Pre-Test 7th Grade Everyday Math Units 9 & 10 May/June: Lessons 9.8 - 10.5 Factor Captor Landmark Shark 1st to 100 Exponent Ball Angle Tangle Credit/Debit Multiplication Wrestling Algebra Election Guess That Number Fraction/ Percent Bingo Baseball Multiplication Top-It Frac-Tac-Toe Hidden Treasure 9 of 9