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6th grade Sequence of Standards by Quarter Quarter 1: 1.2b Fluently add, subtract, multiply, and divide multi-digit decimals using standard algorithms for each operation 1.2a Fluently divide multi-digit numbers using standard algorithms. 1.2c Find the greatest common factor of two whole numbers less than or equal to 100. 1.2d Find the least common multiple of two whole numbers less than or equal to 12 1.2f Interpret and model quotients of fractions through the creation of story contexts 1.2g Compute quotients of fractions.i 1.2h Solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem 1.1a Apply the concept of a ratio and use ratio language to describe a ratio relationship between two quantities 1.1b Apply the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.ii 1.1c Use ratio and rate reasoning to solve real-world and mathematical problems. Quarter 2: 2.1a Write and evaluate numerical expressions involving whole-number exponents 2.1b Write, read, and evaluate expressions in which letters stand for numbers 2.1c Apply the properties of operations to generate equivalent expressions 1.2e Use the distributive property to express a 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 2.1d Identify when two expressions are equivalent 2.2a Describe solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? 2.2b Use substitution to determine whether a given number in a specified set makes an equation or inequality true 2.2c Use variables to represent numbers and write expressions when solving a real-world or mathematical problem 2012-2013 2.2d 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 nonnegative rational numbers 2.2e Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem 2.2f Show that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. 2.2g Represent and analyze quantitative relationships between dependent and independent variables. Quarter 3: TCAP frameworks (old standard numbers) 3.1a Organize and construct a line graph, bar graph and frequency table from a given set 3.4a Analyze data and draw conclusions to predict outcomes based on data displays such as line graphs, bar graphs or frequency tables 2.4a Explain whether data presented in a chart or graph is changing at a constant rate 5.3b Select the appropriate scale for a given problem (graphs or number lines etc.) 4.2a Identify, compare and analyze the attributes of 2 and 3 dimensional shapes and develop vocabulary to describe the attributes (acute, obtuse, right, parallel lines, intersecting lines etc. ) 4.6a Identify congruent shapes using reflections, rotations and translations CAS standards (new standard number) 4.1a Develop and apply formulas and procedures for area of plane figures 4.1b Develop and apply formulas and procedures for volume of regular prisms. 4.1c Draw polygons in the coordinate plan to solve real-world and mathematical problems. 4.1d Develop and apply formulas and procedures for the surface area. 2012-2013 Quarter 4: 1.3a Explain why positive and negative numbers are used together to describe quantities having opposite directions or values 1.3b Use number line diagrams and coordinate axes to represent points on the line and in the plane with negative number coordinates 1.3c Order and find absolute value of rational numbers 1.3d Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane including the use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate 3.1a Identify a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers 3.1b Demonstrate 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 3.1c Explain that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. 3.1d Summarize and describe distributions In general, (a/b) ÷ (c/d) = ad/bc.). (CCSS: 6.NS.1) For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.” (CCSS: 6.RP.2) i ii 2012-2013