Unit 1 Statistics Standard 6SP1 6SP2 1st Quarter (9 weeks) Standard Description -Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for its 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. Content Focus Develop understanding of statistical variability. Identify a statistical question. Describe the distribution of a data set collected to answer a statistical question Draw conclusions about a data set Teacher Resources Go Math! Chapters 12 & 13 Investigations: Data About Us See Alabama Insight Tool for textbook correlations and resources 15 days 6SP3 6SP4 6SP5a-d -Recognize that a measure of center for a numerical data set summarizes all its values with a single number, while a measure of variation describes how it values vary with a single number. -Summarize numerical data in relation to their context by reporting number observations and describing the nature of the attribute under investigation, including how it was measures and its units of measurement. -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 deviation from the overall pattern. -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. Explain what the measures of center and variability indicate about a data set.(mean, median, mode) Describe how a data set was collected. Describe a set of data using mean, median and mode. Describe how an outlier affects measures of center. Describe overall patterns in a data set. Calculate the mean absolute deviation of a data set Summarize a data set by using range, interquartile range and mean absolute deviation. Choose appropriate measures of center and variability to describe a data set Unit Standard Standard Description Content Focus Teacher Resources 2 Operations w/rational numbers excluding integers 6NS1 6NS2 6NS3 -Interpret and compute quotient of fractions, and solve word problems involving division of fractions by using visual fraction models and equations to represent the problem. Understanding dividing fractions Interpret and compute quotients of fractions Solve real-world problems involving division of fractions -Fluently divide multi-digit numbers, using standard algorithm Understanding dividing multi-digit numbers Estimating and determining reasonable quotients Computation Word problems Understanding decimals using all four operations to solve problems. Estimate reasonable answers Solve real-word problems -Fluently add, subtract, multiply and divide decimals 25 days -Find the greatest common factor (GCF) of two whole numbers less than or equal to 100 -Find the least common multiple (LCM) of two whole numbers less than or equal to 12. - Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. Ex. 36 + 8 as 4(9+2) Unit 3 Ratio and Proportional Reasoning 6NS4 Standard 6RP1 6RP2 6RP3b 20 days Standard Description -Understand the concept of ratio and use ratio language to describe a ratio relationship between two quantities. -Understand the concept of unit rate -Solve unit rate problems including those involving unit pricing and constant speed Go Math! Chapters 1 & 2 Investigations – Prime Time Bits & Pieces 1 NLVM website See Alabama Insight Tool for textbook correlations and resources Find the GCF and LCM of two whole numbers Apply the distributive property to rewrite a simple addition problem when the addends have a common factor Content Focus Understanding ratios. Explain what a ratio is Write a ratio three ways Read a ratio correctly Use ratio and rate reasoning to solve realworld and mathematical problems. Relationships between ratios and unit rates Solve problems using unit rates Teacher Resources Go Math! Chapters 4, 5 & 6 Investigations: Bits and Pieces 1 &3 Shapes and Designs (reinforced; applied investigation) See Alabama Insight Tool for textbook correlations and resources (Continues into 2nd Quarter) 6RP3c -Find a percent a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent. -Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing. Understanding percents. Write a percent as fraction and decimal Write fractions and decimals as percents Find a percent of a quantity Find the whole given a part and a percent Solve percent word problems Converting units of measurement. Use ratio reasoning to convert from one unit of length, capacity and weight or mass to another Solve problems involving distance, rate and time. 6RP3d Unit 4 Integers and the coordinate plane Standard 6NS5 6NS7b 6NS6b,c 6NS8 10 days 6NS6a 6NS7b 6NS7d 2nd Quarter (2nd 9 weeks) Continued from Unit 3 Standard Description -Understanding that positive and negative numbers are used together to describe quantities having opposite directions or values -Write, Interpret and explain statements of order for rational numbers -Understanding a rational number as a point on the number line. -Understand signs of numbers in ordered pairs as indicating location in quadrants of the coordinate plane -Find and position pairs of integers and other rational numbers on a coordinate plane -Recognize opposite signs of numbers -Understand that absolute value of a rational number as its distance from 0 on the number line in real-world context -Distinguish comparisons of absolute value from statements about order Content Focus Understanding positive and negative numbers Use them to represent real-world quantities Compare and order integers in real-world context Using integers and other rational numbers with the coordinate plane Extend the number line to include negative numbers Graph ordered pairs of rational numbers on a coordinate plane Understanding absolute value Find the absolute value of rational numbers Interpret the absolute value of rational numbers. Compare the absolute value of rational numbers Use absolute value to find the distance between two points Teacher Resources Go Math! Chapter 3 Go Math! Chapter 10.9 Investigations – Data About Us Bits & Pieces II See Alabama Insight Tool for textbook correlations and resources 6G3 Unit 5 Expressions Standard 6EE1 6EE2 6EE2a,b 20 days -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 using real-world context Using rational numbers/coordinates to draw polygons in the coordinate plane Apply these techniques in the context of solving real-world and mathematical problems Standard Description Content Focus -Write, read and evaluate expressions in which letters stand for numbers -Write expressions that record operations with numbers and with letters standing for numbers -Identify parts of an expression using mathematical terms Parts of an expression Write an expression Read an expression Evaluate an expression -Apply the properties of operations to generate equivalent expressions Write equivalent expressions using properties of operations -Identify when two expressions are equivalent Identify equivalent expressions Teacher Resources Go Math! Chapter 7 See Alabama Insight Tool for textbook correlations and resources 6EE3 6EE4 Unit 6 Solving Equations Standard 3rd Quarter (3rd 9 weeks) Standard Description Before starting this unit it is important that students understand: o How do you use the order of operations to problems? o Why do we need an order of operations? Content Focus Apply order of operations correctly to solve one-step equations Teacher Resources Go Math! Chapter 7.1 and 7.2 Go Math! Chapter 8 15 days Unit 7 Inequalities 15 days 6EE7 6EE2c Standard 6NS7a 6NS7b 6NS7d 6EE5 6EE8 Unit Standard -Solve real-world and mathematical problems by writing and solving equations of the form x + p=q and px +q for cases which p, q, x are all nonnegative rational numbers -Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Standard Description -Interpret statements of inequality as statements about relative position of two numbers on a number line. Write, solve and use equations in real-world and mathematical problems See Alabama Insight Tool for textbook correlations and resources Content Focus Using inequalities to solve real-world and mathematical problems. Distinguish the difference between an equation and inequality. -Understand solving an equation or inequality as a process of answering a Graph inequality on a number line. -Write an inequality of the form x>c or x<c to represent a constraint or Write an inequality to model a situation. question: which values from a specific set, if any, make the equation or inequality true. condition in real-world or mathematical problems. Standard Description InvestigationsCovering and Surrounding I Content Focus Teacher Resources Go Math! Chapter 8 See Alabama Insight Tool for textbook correlations and resources Teacher Resources 8 Linear Equations 6RP3a 6RP3b 6EE6 6EE9 20 days -Make tables of equivalent ratios relating quantities, find missing values in the tables and plot pairs of values on the coordinate plane. -Use variables to represent numbers and write expressions when solving real-world or mathematical problem -Understand that a variable can represent an unknown number or any number in a specified set. -Use variables to represent two quantities in a real-world problem that change in relationship to one another -Analyze the relationship between the dependent and independent variables using graphs and tables and relate these to the equation. (Continues into 4th Quarter) Unit 9 Geometry Standard 6G1 4th Quarter (4th 9 weeks) Continued from Unit 8 Standard Description -Find the area of triangles, special quadrilaterals and polygons by composing or decomposing into triangles and other shapes and apply these techniques to solve real-world and mathematical problems. 20 days 6G4 Understanding linear equations in real-world and mathematical problems. Write equations to represent the relationship between an independent and dependent variable. Translate between equations and tables. Find patterns between two quantities Graph the relationships between two quantities Translate between equations and graphs -Represent three-dimensional figures using nets made up of rectangles and triangles and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. Content Focus Calculate the area of shapes. Right triangles/other triangles Special quadrilaterals Polygons Composite figures Understanding of composing and decomposing into triangles Solve problems involving surface area in real-world and mathematical context. Use nets to represent threedimensional figures Explain what the relationship between a net and the surface areas of a prism Find the surface areas of a prism, pyramid Go Math! Chapter 9 See Alabama Insight Tool for textbook correlations and resources Teacher Resources Go Math! Chapter 10 & 11 See Alabama Insight Tool for textbook correlations and resources -Find the volume of a right rectangular prism with fractional edge lengths 6G2 Unit 10 Spiral Review for Aspire Standard 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. Solve problems involving volume in realworld and mathematical context. Relationship between the volume and edge lengths of prisms Find the volume of rectangular prism w/fractional edge length Standard Description Content Focus Teacher Resources See Alabama Insight Tool for textbook correlations and resources Content Focus Teacher Resources Go Math! Getting Ready for Grade 7 10 days Unit 11 Transition Skills to 7th Grade 6 days Standard 7.NS.1 7.NS.2 7.NS.3 7.RP.1 7.RP.2 7.RP.3 7.EE.1 7.EE4 7.SP.1 7.SP.2 7.SP.5 7.SP.7 Standard Description -Apply and extend previous understanding of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. -Apply and extend previous understanding of multiplication and division and of fractions to multiply and divide rational numbers. -Solve real-world and mathematical problems involving the four operations with rational numbers. -Analyze proportional relationships and use them to solve real-world and mathematical problems Build on integer concepts presented in Chapter 3 Use the number line to model addition and subtraction of integers. Evaluate order of operations with fractions and decimals Simplify complex fractions Identify proportional relationship Identify the constant of proportionality in proportional relationships Solve percent problems Involve percent problems involving discounts and sales tax. Find percent of change -Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Add algebraic expressions Solve two-step equations Solve inequalities -Use random sampling to draw inference about a population. -Investigate chance processes and develop, use, and evaluate probability models. Taking a sample and leaning from it Use a sample to make a prediction Use probability to describe the likelihood of an event Write the probability of an event Calculate the experimental probability of an event See Alabama Insight Tool for textbook correlations and resources