ALUM ROCK UNION SCHOOL DISTRICT Common Core Standards Map 2014-15 Grade Level 6 Materials Used GO MATH! Domain/Title Go Math! Unit Calendar Dates (Days) Title and Standards Ratio & Proportion Unit 3 Ratio & Proportion Sept 2 –Oct 10 (29 days) Module6 Representing Rates and Ratios (6 R.P.1 6 R.P.2, 6 R.P.3 Module 7 Applying Ratios and Rates 6 R.P.3 6 R.P.3a, 6 R.P. 3d Module 8 Percents 6 R.P.3, 6 R.P.3c Content Objective Module 6. 6.1 Use ratios to compare two quantities. 6.2 Use rates to compare quantities 6.3 Use ratios Number Systems Unit 1 Numbers Oct 13 - Nov 25 (20 days) Module 1 1.Integers 6 N.S. 5, 6 N.S. 6, 6 N.S. 6a, 6 N.S. 6c, 6 N.S. 7, 6 N.S. 7, 6 N.S. 7a, 6 N.S. 7b, 6 N.S. 7b, 6 N.S. 7c, 6 N.S. 7d Geometry Unit 2 Numbers and Operations Dec 1-19 (15 days) Unit 4 Equivalent Expressions Jan 5 –Jan29 (18 days) Unit 5 Equations & Inequalities Jan 30-Feb 27 (16 days) Unit 6 Relationship in Geometry Mar 2 – Mar 26 (19 days) Module4 Operations with Fractions 6 N.S. 1, 6 N.S. 4 Module 9 Generating Equivalent Numerical Expressions 6 E.E 1 Module 11 Equations and Relationships 6 E.E. 5, 6 E.E. 6, 6 E.E. 7, 6 E.E. 8 Module 13 Area and Polygons 6 G.1, 6 E.E. 7 Module 5 Operations with Decimals 6 N.S. 2, 6 N.S. 3 Module 2 2.Factors & Multiples 6. N.S. 4 Module 3 3.Rational Numbers 6 N.S. 6, 6 N.S.6a, 6 N.S. 6c, 6 N.S. 7, 6 N.S 7a, 6 N.S. 7b, 6 N.S. 7c Module 1 1.1 Identify an integer and its opposite. 1.2 Compare and order integers. Expressions & Equations Module 4 4.1 Use the GCF & LCM when adding, subtracting, and multiplying fractions. 4.2 Divide fractions. Module 10 Generating Equivalent Algebraic Expressions 6 E.E. 2a, 6 E.E.2b, 6 E.E. 2c, 6 E.E. 3, 6 E.E. 4, 6 E.E. 6 Module 9 9.1 Use exponents to represent numbers. 9.2 Write the prime factorization of a number. Module 12 Relationships in Two Variables 6 N.S. 6, 6 N.S. 6b 6 N.S. 6c, 6 .N.S.8, 6 N.S. 9 Module 11 11.1 Write equations and determine whether a number is a solution of an equation. 11.2 Solve Module 14 Distance and Area in the Coordinate Plane 6 N.S. 6b, 6. N.S. 8, 6 G.3 Statistics & Probability Unit 7 Measurement and Data April6 – April 24 (15 days) Module 16 Displaying, Analyzing, and Summarizing Data 6 S.P. 1, 6 S.P. 2, 6 S.P. 3, 6 S.P. 4, 6 S.P. 5, 6 S.P. 5a, 6 S.P. 5b, 6 S.P.5c, 6 S.P. 5d Module 15 Surface Area & Volume of Solids 6 G.2, 6 G.4, 6 E.E. 7 Module 13 13.1 Find the areas of parallelograms, rhombuses, and trapezoids. 13.2 Find the area of a triangle. 13.3 Use equations Module 16 16.1 Use measures of center to describe a data set. 16.2 Determine and use the mean absolute deviation and rates to make comparisons and predictions. 1.3 Module 7 7.1 Represent real-world problems involving with tables and graphs. 7.2 Solve problems with proportions. 7.3 Convert Units within ma measurement system. 7.4 Use ratios to convert measurements. Module 2 2.1 Find and use the greatest common factor of two whole numbers. 2.2 Find and use the least common multiple of two numbers. Module 3 3.1 Classify rational numbers. 3.2 Identify opposites and absolute value of rational numbers. 3.3 Compare and order rational numbers. Module 8 8.1 Write a ratio as a percent. 8.2 Write equivalent percent, fractions, and decimals. 8.3 Use percent to solve problems. Find and use absolute value. 4.3 Divide Mixed Numbers. 4.4 Solve word problems involving more than fraction operation. Module 5 5.1 Divide multidigit numbers. 5.2 add and subtract decimals 5.3 Multiply decimals 5.4 Divide decimals. 5.5. Solve problems involving multiplication & division of fractions and decimals. 9.3 Use the order of operations to simplify expression with exponents. Module 10 10.1 Model and write algebraic expressions. 10.2 use the order of operations to evaluate algebraic expressions. Identify and write equivalent expressions. equations that contain addition and subtraction. 11.3 Solve equations that contain multiplication or division. 11.4 Use inequalities to represent realworld constraints or conditions. Module 12 12.1 Locate and name points in a coordinate plane. 12.2 Identify independent and dependent quantities from tables and graphs. 12.3 Use an equation to show a relationship between two variables. 12.4 Use verbal descriptions, table and graphs to represent algebraic relationships. to solve problems about the areas of rectangles, parallelograms, trapezoids, and triangles. 13.4 Find the area of a polygon by breaking it into simpler shapes. Module 14 14.1 Use absolute value to find the distance between two points in the coordinate plane. 14.2 Solve problems by drawing polygons in the coordinate plane. Module 15 15.1 Use nets to find surface areas. 15.2 Find the volume of a rectangular prism. 15.3 Write equations to solve problems involving the volumes of right rectangular prisms. of a set. 16.3 Use a box plot and measure of spread to describe a data set. 16.4 Summarize and display numeric data. 16.5 Display a data in a histogram. Language Objectives Module 6 6.1 Describe how to use ratios to compare two quantities. 6.2 Explain how to use rates to compare quantities. 6.3 Make verbal comparisons and predictions using ratios and rates. Module 7 7.1 Describe tables and graphs that represent realworld problems involving ratios and rates. 7.2 Explain how to solve problems with proportions. 7.3 Explain how to convert units within a measurement system. 7.4 Demonstrate and explain how to use ratios to convert measurements. Module 8 8.1 Explain how to write a ratio Module 1 1.1 Describe how to identify an integer and its opposite 1.2 Explain how to compare and order integers. 1.3 Demonstrate how to find and use an absolute value. Module 2 2.1 Explain and demonstrate how to find and use the GCF. 2.2 Explain how to find and use the LCM of two whole numbers. Module 3 3.1 Illustrate and explain how to classify numbers. 3.2 Explain how to identify opposites and absolute values of rational numbers. 3.3 Demonstrate and explain how to compare and order rational numbers. Module 4 4.1 Explain the meanings of GCF and LCM and use them in fraction operations. 4.2 Explain how to divide fractions. 4.3 Explain how to divide mixed numbers. 4.4 Explain how to solve word problems involving more to than one fraction operation. Module 5 5.1 Show and explain how to divide multi-digit whole numbers. 5.2 Explain how to add and subtract decimals. 5.3 Listen and rephrase an explanation of how to multiply decimals. 5.4 Write a stepby-step guide how to divide decimals. 5.5 Explain how to solve problems involving multiplication and division of fractions and decimals. Module 9 9.1 Explain the meanings of GCF & LCM and used them, when adding, subtracting, and multiplying fractions. 9.2 Create a stepby-step explanation of how to write the prime factorization of a number. 9.3 Explain the process of using the order of operations to evaluate expressions with exponents. Module 10 10.1 Demonstrate and explain how to model and write algebraic expressions. 10.2 Work with a partner to write a how-to-page on how to identify and write equivalent expressions. Module 11 11.1 Explain how to write equations and determine whether a number is a solution of an equation. 11.2 Write about how to solve equations that contain addition or subtraction. 11.3 Explain how to solve equations that contain multiplication or division. 11.4 Explain what an inequality is and how they can be used to represent real-world constraints or conditions. Module 12 12.1 Demonstrate how to locate and name points in a coordinate plane. 12.2 Model how to identify independent and dependent quantities from tables and graphs. 12.3 Explain how to use an equation to show a relationship between two variables. 12.4 Compare Module 13 13.1 Show how to find the areas of parallelograms, rhombuses, and trapezoids. 13.2 Explain and demonstrate how to find the area of a triangle. 13.3 Show how to use equations to solve problems about the areas of rectangles, parallelograms, trapezoids and triangles. 13.4 Demonstrate how to find the area of a polygon by breaking it into simpler shapes. Module 14 14.1 Explain the meaning of absolute value and how you can use it to find the distance between two points with the same x- or ycoordinate. 14.2 Create instructions for how to solve problems by drawing polygons in the coordinate plane. Module 15 15.1 Demonstrate Module 16 16.1 Explain how to use measure of center to describe a data set. 16.2 Define the term mean absolute deviation and will explain how to determine and use the mean absolute deviation of a set of data points. 16.3 Explain how to use a box plot and measure of spread to describe a data set. 16.4 Explain or write how to summarize and display numeric data. 16.5 Summarize how to display data in a histogram. as a percent. 8.2 Show and explain how to write equivalent percent, fraction and decimals. 8.3 How do you use percent to solve problems? Unit Project (At the end of each unit, students will: How Big is Big? ( Measure/ Convert Rates & Ratios With Large Amounts of Money ) Instructional Notes Common Assessment or Performance are done after each module. But Benchmark Assessment is mandatory after each domain. List of Standards Deferred Common Assessment Benchmark Assessment TBD verbal descriptions, tables, and graphs as ways to represent algebraic relationships. and explain how to use nets to find surface areas. 15.2 Demonstrate how to find the volume of a rectangular prism. 15.3 Explain how to write equations to solve problems involving the volumes of rectangular prisms. EUCLID’S Method: The Power of 2 How Fast & How Far? Which State Is It? (Research Project on the Greek (Calculate the first (Find the top speed (Plot and connect Mathematician, Euclid and show his twenty powers of 2 of the favorite points on a coordimethod of finding the greatest common and to find realanimal, Using that nate grid and idenfactor of two numbers.) world examples of speed create a tify the state whose A Fine Kettle of Fish distances, tempera- table, write an outline they have (Calculate lengths and prices of the tures and lengths of equation, and draw drawn; solve protropical fish based on the aquarium boughttime with magnia graph relating the portion problems; using fractions, mixed numbers, and tudes that distance the animal draw polygons on decimals and converting between fractions approximate and each traveled to the length coordinate plane) and decimals.) power.) of time traveled.) TBD TBD TBD TBD Top Tens (Choose a category and find the world’s ten longest, tallest, widest or fastest examples of that category; calculate the mean, median and other measures of the data; draw and analyze box plot data. TBD