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Unit 1 - Numbers Module 1 - Integers Start Date – 8/18/14 End Date – 8/28/14 Section Number and Topic 1.1 Identifying integers and their opposites Standards Content MAFS.6.NS.3.5 MAFS.6.NS.3.6 MAFS.6.NS.3.6a MAFS.6.NS.3.6c Practice MP5 pg. 8 1.2 Comparing and Ordering Integers Content MAFS.6.NS.3.7 MAFS.6.NS.3.7a MAFS.6.NS.3.7b Learning Target Instructional Time Frame Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation. Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. Recognize opposite signs of numbers a indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, and that 0 is its own opposite. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. Write, interpret, and explain statements of order for rational numbers in real-world contexts. 2 days Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. Distinguish comparisons of absolute value from statements about order. 2 days Module 1 Quiz 1 day Additional Resources Number line City Tour (Coordinates) Integers, Opposites, and Absolute Values Points in the Coordinate Plane Activity B 2 days Integers, Opposites, and Absolute Values Practice MP4 pg. 17 MP6 pg. 13 MP7 pg. 18 1.3 Absolute Value Content MAFS.6.NS.3.7 MAFS.6.NS.3.7c MAFS.6.NS.3.7d Practice MP3 pg. 24 MP8 pg. 19 Review and Assessment Content Integers, Opposites, and Absolute Values Rational Numbers, Opposites, and Absolute Values Unit 1 - Numbers Module 2 – Factors and Multiples Start Date – 8/29/14 End Date – 9/5/14 Section Number and Topic 2.1 Greatest Common Factor Standards Content MAFS.6.NS.2.4 Practice MP1 pg. 36 Learning Target Find the greatest common factor of two whole numbers less than or equal to 100. Use the distributive property to express the sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. Instructional Time Frame Additional Resources 2 days Factor Trees (Factoring Numbers) Finding Factors with Area Models 2.2 Least Common Multiple Content MAFS.6.NS.2.4 Find the least common multiple of two whole numbers less than or equal to 12. 2 days Practice Factor Trees (Factoring Numbers) Finding Factors with Area Models Review and Assessment Content Module 2 Quiz 1 day Unit 1 - Numbers Module 3 – Rational Numbers Start Date – 9/8/14 End Date – 9/17/14 Section Number and Topic 3.1 Classifying Rational Numbers Standards Content MAFS.6.NS.3.6 Practice 3.2 Identifying Opposites and Absolute Value of Rational Numbers Content MAFS.6.NS.3.6 MAFS.6.NS.3.6a MAFS.6.NS.3.6c MAFS.6.NS.3.7 MAFS.6.NS.3.7c Practice 3.3 Comparing and Ordering Rational Numbers Content MAFS.6.NS.3.7 MAFS.6.NS.3.7a MAFS.6.NS.3.7b Learning Target Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. Instructiona l Time Frame 2 days Content Number line Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. Recognize opposite signs of numbers a indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, and that 0 is its own opposite. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a realworld situation. 2 days Integers, Opposites, and Absolute Values Rational Numbers, Opposites, and Absolute Values Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. Write, interpret, and explain statements of order for rational numbers in real-world contexts. 2 days Comparing and Ordering Decimals Modeling Fractions (Area Models) Integers, Opposites, and Absolute Values Fraction, Decimal, Percent (Area and Grid Models) Ordering Percents, Fractions, and Decimals Greater Than 1 Unit 1 Review Unit 1 Assessment 1 day 1 day Practice MP2 pg. 64 Review and Assessment Additional Resources Unit 2 - Number Operations Module 4 - Operations with Fractions Start Date – 9/18/14 End Date – 10/1/14 Section Number and Topic 4.1 Applying GCF and LCM to Fraction Operations Standards Content MAFS.6.NS.2.4 Practice 4.2 Dividing Fractions Content MAFS.6.NS.1.1 Practice MP2 pg. 90 4.3 Dividing Mixed Numbers Content MAFS.6.NS.1.1 Practice MP5 pg. 90 MP6 pg. 93 4.4 Solving Multistep Problems with Fractions and Mixed Numbers Content MAFS.NS.6.1.1 Practice MP1 pg.97-98 MP4 pg. 100 Review and Assessment Content Practice Learning Target Instructional Time Frame Additional Resources Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express the sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. 2 days 2 days Dividing Fractions Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. 2 days Dividing Mixed Numbers Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. 2 days Module 4 Quiz 1 day Dividing Fractions Dividing Mixed Numbers Unit 2 - Number Operations Module 5 - Operations with Decimals Start Date – 10/2/14 End Date – 10/17/14 Section Number and Topic 5.1 Dividing Whole Numbers Standards Content MAFS.6.NS.2.2 Learning Target Instructional Time Frame Fluently divide multi-digit numbers using the standard algorithm. 2 days Fluently add and subtract multi-digit decimals using the standard algorithm for each operation. 2 days Fluently multiply multi-digit decimals using the standard algorithm for each operation. 2 days Fluently divide multi-digit decimals using the standard algorithm for each operation. 2 days Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 2 days Unit 2 Review Unit 2 Assessment 1 day 1 day Additional Resources Practice MP3 pg. 112 5.2 Adding and Subtracting Decimals Content MAFS.6.NS.2.3 Practice MP7 pg. 118 5.3 Multiplying Decimals Content MAFS.6.NS.2.3 Practice 5.4 Dividing Decimals Content MSFS.6.NS.2.3 Adding Decimals (Base-10 Blocks) Subtracting Decimals (Base-10 Blocks) Sums and Differences with Decimals Multiplying Decimals (Area Model) Multiplying with Decimals Practice MP8 pg. 125 5.5 Applying Operations with Rational Numbers Content MAFS.6.NS.2.3 Practice Review and Assessment 1 Content Adding Decimals (Base-10 Blocks) Multiplying Decimals (Area Model) Multiplying with Decimals Subtracting Decimals (Base-10 Blocks) Sums and Differences with Decimals Unit 3 - Proportionality: Ratios and Rates Module 6 - Representing Ratios and Rates Start Date – 10/20/14 End Date – 10/30/14 Section Number and Topic 6.1 Ratios Standards Content MAFS.6.RP.1.1 MAFS.6.RP.1.3 MAFS.6.RP.1.3a Practice MP8 pg. 149 6.2 Rates Content MAFS.6.RP.1.2 MAFS.6.RP.1.3 MAFS.6.RP.1.3b Practice 6.3 Using Ratios and Rates to Solve Problems Content MAFS.6.RP.1.3 MAFS.6.RP.1.3a Practice Review and Assessment Content Learning Target Instructional Time Frame Understand concept of a ratio and use ratio language to describe a ratio relationship between two quantities. Use ratio reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. Understand the concept of a unit rate a/b associated with a ratio and with b≠0, and use rate language in the context of a ratio relationship. Use rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Solve unit rate problems including those involving unit pricing and constant speed. 2 days Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. 2 days Module 6 Quiz Interim (1st Quarter) Assessment 1 day 1 day Additional Resources Part-to-part and Part-to-whole Ratios Beam to Moon (Ratios and Proportions) 2 days Beam to Moon (Ratios and Proportions) Road Trip (Problem Solving) Unit 3 - Proportionality: Ratios and Rates Module 7 - Applying Ratios and Rates Start Date – 10/31/14 End Date – 11/14/14 Section Number and Topic 7.1 Ratios, Rates, Tables, and Graphs Standards Content MAFS.6.RP.1.3 MAFS.6.RP.1.3a MAFS.6.RP.1.3b Practice 7.2 Solving Problems with Proportions Content MAFS.6.RP.1.3 MAFS.6.RP.1.3b Review and Assessment Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. Solve unit rate problems including those involving unit pricing and constant speed. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Solve unit rate problems including those involving unit pricing and constant speed. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. 2 days Additional Resources Percent of Change Beam to Moon (Ratios and Proportions) Percent of Change 2 days Unit Conversions 2 days Unit Conversions Practice MP2 pg. 193 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Solve unit rate problems including those involving unit pricing and constant speed. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. Content Module 7 Quiz 1 day Content MAFS.6.RP.1.3d Practice MP1 pg.190 MP5 pg.185 7.4 Converting Between Measurement Systems Instructional Time Frame 2 days Practice 7.3 Converting Within Measurement Systems Learning Target Content MAFS.6.RP.1.3 MAFS.6.RP.1.3b MAFS.6.RP.1.3d Unit 3 - Proportionality: Ratios and Rates Module 8 - Percents Start Date – 11/17/14 End Date – 12/2/14 Section Number and Topic 8.1 Understanding Percent Instructional Time Frame Additional Resources Find percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. 2 days Percents and Proportions Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. 2 days Percent of Change Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Find percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. 2 days Percent of Change Unit 3 Review Unit 3 Assessment 2 days Standards Content MAFS.6.RP.1.3c Learning Target Practice MP3 pg.208 8.2 Percents, Fractions, and Decimals Content MAFS.6.RP.1.3 Practice MP6 pg. 214 MP7 pg. 214 8.3 Solving Percent Problems Content MAFS.6.RP.1.3 MAFS.6.RP.1.3c Practice MP4 pg. 215-216 Review and Assessment Content Unit 4 - Equivalent Expressions Module 9 - Generating Equivalent Numerical Expressions Start Date – 12/3/14 End Date – 12/11/14 Section Number and Topic 9.1 Exponents Instructional Time Frame Additional Resources Write and evaluate numerical expressions involving wholenumber exponents. 2 days Order of Operations Write and evaluate numerical expressions involving wholenumber exponents. 2 days Factor Trees (Factoring Numbers) Standards Content MAFS.6.EE.1.1 Learning Target Practice MP6 pg. 242 MP8 pg. 237, 242 9.2 Prime Factorization Content MAFS.6.EE.1.1 Practice MP3 pg. 248 9.3 Order of Operations Content MAFS.6.EE.1.1 Finding Factors with Area Models Write and evaluate numerical expressions involving wholenumber exponents. 2 days Module 9 Quiz 1 day Practice MP2 pg. 254 MP 4 pg. 249 Review and Assessment Content Order of Operations Unit 4 - Equivalent Expressions Module 10 - Generating Equivalent Algebraic Expressions Start Date – 12/12/14 End Date – 1/9/15 Section Number and Topic 10.1 Modeling and Writing Expressions Standards Content MAFS.6.EE.1.2a MAFS.6.EE.1.2b MAFS.6.EE.1.4 MAFS.6.EE.2.6 Practice MP1 pg. 268 MP7 pg. 263-64 10.2 Evaluating Expressions Content MAFS.6.EE.1.2c Practice 10.3 Generating Equivalent Expressions Content MAFS.6.EE.1.2b MAFS.6.EE.1.3 MAFS.6.EE.1.4 Practice MP5 pg. 276 Review and Assessment Content Instructional Time Frame Additional Resources Write expressions that record operations with numbers and with letters standing for numbers. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or depending on the purpose at hand, any number in a specified set. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in realworld problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). 2 days Order of Operations Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. Apply the properties of operations to generate equivalent expressions. Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). 2 days Unit 4 Review Unit 4 Assessment Interim (2nd Quarter) Assessment 1 day 1 day 1 day Learning Target Using Algebraic Equations Using Algebraic Expressions 2 days Using Algebraic Equations Order of Operations Unit 5 - Equations and Inequalities Module 11 - Equations and Relationships Start Date – 1/12/15 End Date – 1/23/15 Section Number and Topic 11.1 Writing Equations to Represent Situations Standards Content MAFS.6.EE.2.5 MAFS.6.EE.2.6 MAFS.6.EE.2.7 Practice MP1 pg. 302 11.2 Addition and Subtraction Equations Content MAFS.6.EE.2.5 MAFS.6.EE.2.6 MAFS.6.EE.2.7 Practice MP5 pg. 303 MP8 pg. 310 11.3 Multiplication and Division Equations Content MAFS.6.EE.2.5 MAFS.6.EE.2.6 MAFS.6.EE.2.7 Practice MP3 pg. 318 MP7 pg. 311 11.4 Writing Inequalities Content MAFS.6.EE.2.5 MAFS.6.EE.2.6 MAFS.6.EE.2.8 Practice MP2 pg. 320 MP4 pg. 324 Review and Assessment Content Learning Target Understand solving an equation as a process of answering a question: which values from a specified set, if any, make the equation true? Use substitution to determine whether a given number in a specified makes the equation true. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specific set. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers. Understand solving an equation as a process of answering a question: which values from a specified set, if any, make the equation true? Use substitution to determine whether a given number in a specified makes the equation true. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specific set. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers. Understand solving an equation as a process of answering a question: which values from a specified set, if any, make the equation true? Use substitution to determine whether a given number in a specified makes the equation true. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specific set. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers. Understand solving an equation as a process of answering a question: which values from a specified set, if any, make the equation true? Use substitution to determine whether a given number in a specified makes the equation true. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specific set. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. Module 11 Quiz Instructional Time Frame Additional Resources 2 days 2 days 2 days 2 days 1 day Compound Inequalities Solving Linear Inequalities in One Variable Unit 5 - Equations and Inequalities Module 12 - Relationships in Two Variables Start Date – 1/26/15 End Date – 2/6/15 Section Number and Topic 12.1 Graphing on the Coordinate Plane Standards Content MAFS.6.NS.3.6 MAFS.6.NS.3.6b MAFS.6.NS.3.6c MAFS.6.NS.3.8 Practice MP6 pg. 336 12.2 Independent and Dependent Variables in Tables and Graphs Content MAFS.6.EE.3.9 Practice 12.3 Writing Equations from Tables Content MAFS.6.EE.3.9 Practice 12.4 Representing Algebraic Relationships in Tables and Graphs Content MAFS.6.EE.3.9 Practice Review and Assessment Content Learning Target Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. Unit 5 Review Unit 5 Assessment Instructional Time Frame Additional Resources 2 days City Tour (Coordinates) Points in the Coordinate Plane Activity B 2 days Growing Plants (data tab) Graphing Skills 2 days Growing Plants (data tab) Function Machines 3 2 days Function Machines 3 Graphing Skills Distance-Time Graphs 1 day 1 day Unit 6 - Relationships in Geometry Module 13 - Area and Polygons Start Date – 2/9/15 End Date – 2/20/15 Section Number and Topic 13.1 Area of Quadrilaterals Standards Content MAFS.6.G.1.1 Find the area of right triangles and other triangles by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. 2 days Area of Triangles Find the area of right triangles, other triangles, and special quadrilaterals by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers. 2 days Area of Parallelograms Area of Triangles Fido's Flower Bed (Perimeter and Area) 2 days Practice Find the area of polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. Fido's Flower Bed (Perimeter and Area) Content Module 13 Quiz 1 day Content MAFS.6.G.1.1 Content MAFS.6.G.1.1 MAFS.6.EE.2.7 Practice MP4 pg. 385 13.4 Area of Polygons Review and Assessment Additional Resources 2 days Practice MP2 pg.382 MP8 pg. 378 13.3 Solving Area Equations Instructional Time Frame Find the area of special quadrilaterals by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. Practice MP1 pg. 376 MP5 pg. 371 13.2 Area of Triangles Learning Target Content MAFS.6.G.1.1 geoboards graph paper Area of Parallelograms Unit 6 - Relationships in Geometry Module 14 - Distance and Area in the Coordinate Plane Start Date – 2/23/15 End Date – 2/27/15 Section Number and Topic 14.1 Distance in the Coordinate Plane Content MAFS.6.NS.3.6b MAFS.6.NS.3.8 Practice MP3 pg.406 14.2 Polygons in the Coordinate Plane Content MAFS.6.G.1.3 Practice Review and Assessment Instructional Time Frame Additional Resources Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. 2 days Points in the Coordinate Plane Activity B Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems. 2 days Pythagorean Theorem with a Geoboard Module 14 Quiz 1 day Standards Content Learning Target Unit 6 - Relationships in Geometry Module 15 - Surface Area and Volume of Solids Start Date – 3/2/15 End Date – 3/11/15 Section Number and Topic 15.1 Nets and Surface Area Content MAFS.6.G.1.4 Practice MP6 pg. 424 15.2 Volume of Rectangular Prisms Content MAFS.6.G.1.2 Practice MP7 pg. 430 15.3 Showing Volume Equations Content MAFS.6.EE.2.7 MAFS.6.G.1.2 Practice Review and Assessment Instructional Time Frame Additional Resources Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface areas of these figures. Apply these techniques in the context of solving real-world and mathematical problems. 2 days Interactive Geometry 3-D website Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V= l w h and V = B h to find the volume of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. 2 days Prisms and Cylinders Activity A Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V= l w h and V = B h to find the volume of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. 2 days Prisms and Cylinders Activity A Unit 6 Review Unit 6 Assessment 2 days Standards Content Learning Target Unit 7 - Measurement and Data Module 16 - Displaying, Analyzing, and Summarizing Data Start Date – 3/12/15 End Date – 4/9/15 Section Number and Topic 16.1 Measures of Center Standards Content MAFS.6.SP.1.3 MAFS.6.SP.2.5 MAFS.6.SP.2.5a MAFS.6.SP.2.5b MAFS.6.SP.2.5c MAFS.6.SP.2.5d Practice MP1 pg. 454 MP6 pg. 452 16.2 Mean Absolute Value Content MAFS.6.SP.2.5c Practice MP2 pg. 462 MP5 pg. 458 MP8 pg. 462 16.3 Box Plots Content MAFS.6.SP.2.4 MAFS.6.SP.2.5c Practice MP3 pg. 468 MP4 pg. 468 16.4 Dot Plots and Data Distribution Content MAFS.6.SP.1.1 MAFS.6.SP.1.2 MAFS.6.SP.2.4 MAFS.6.SP.2.5c MAFS.6.SP.2.5d Practice MP7 pg. 471 16.5 Histograms Content MAFS.6.SP.2.4 MAFS.6.SP.2.5 Practice Learning Target Instructional Time Frame Additional Resources Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. Summarize numerical data sets in relation to their context, such as by: Reporting the number of observations. Describing the nature of the attribute under investigation, including how it was measured and its units of measure. Giving quantitative measures of center (median, and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overal pattern with reference to the context in which the data were gathered. Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. 2 days Describing Data Using Statistics Mean, Median and Mode Reaction Time 1 (Graphs and Statistics) Reaction Time 2 (Graphs and Statistics) Real-Time Histogram Summarize numerical data sets in relation to their context, such as by: Giving quantitative measures of center (median, and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data pattern with reference to the context in which the data were gathered. 2 days Box-and-Whisker Plots Describing Data Using Statistics Mean, Median and Mode Populations and Samples Reaction Time 1 (Graphs and Statistics) Reaction Time 2 (Graphs and Statistics) Real-Time Histogram Display numerical data in plots on a number line, including box plots. Summarize numerical data sets in relation to their context, such as by: Giving quantitative measures of center (median, and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data pattern with reference to the context in which the data were gathered. 2 days Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. Display numerical data in plots on a number line, including box plots. Summarize numerical data sets in relation to their context, such as by: Giving quantitative measures of center (median, and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data pattern with reference to the context in which the data were gathered. Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. 2 days Display numerical data in plots on a number line, including box plots. Summarize numerical data sets in relation to their context, such as by: Reporting the number of observations. Describing the nature of the attribute under investigation, including how it was measured and its units of measure. Giving quantitative measures of center (median, and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall 2 days Box-and-Whisker Plots Describing Data Using Statistics Mean, Median and Mode Movie Reviewer (Mean and Median) Reaction Time 1 (Graphs and Statistics) Reaction Time 2 (Graphs and Statistics) Histograms Reaction Time 1 (Graphs and Statistics) Reaction Time 2 (Graphs and Statistics) Real-Time Histogram pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered. Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. Review and Assessment Content MAFS.6.SP.1.1 Unit 7 Review Unit 7 Assessment Interim (3rd Quarter) Assessment 1 day 1 day 1 day