Math Learning Objectives 2015 – 2016 SBAC Interim Assessment 1 Mr. William A. Martin Room 45 6th Grade 6.RP.1 – Ratios and Proportional Relationships. After watching the teacher model ratios and proportions, students will be able to recognize and write a ratio and proportion in various forms. By the end of class, the student will be able to describe a ratio relationship and explain why order matters. 6.RP.3 – Solve Ratio and rate in real-world and mathematical problems. After watching the teacher model ratios, the student will be able to make tables of equivalent ratios. After completing the missing value activity with ratios, the student will be able to find missing values in the tables. After practicing making 12 coordinate planes and plotting ordered pairs, the student will be able to plot ordered pairs on the coordinate plane. After reading the CPM math book and watching a video on ratios, the student will be able to use tables to compare ratios. After practicing analyzing rate and ratios, the student will be able to recognize when to use unit rate and ratios to solve problems. 6.NS.5 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, debits/credits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation. By the end of the class and team discussion, students will be able to describe quantities having opposite directions or values. After reading the CPM math book and completing the online math lessons on Positive and Negative Integers, the student will be able to use positive and negative numbers to represent quantities in real-world contexts. After practicing analyzing the number line, students will be able to explain that the number zero is the point at which direction or value will change. 6.NS.6 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. a. Recognize opposite signs of numbers as 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, e.g., -(-3) = 3, and that 0 is its own opposite. After completing the number line drawing activity in teams, the student will be able to plot a number and its opposite on a number line and recognize that they are equal distances from zero. By the end of the lesson, students will be able to recognize that the opposite of the opposite of a number is the number itself. After identifying the claims and evidence of opposites, the student will be able to recognize that 0 is its own opposite. b. 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. After drawing 12 coordinate planes and plotting order pairs, the students will be able to recognize the point where the x-axis and the y-axis intersect as the origin. After participating in a quadrant flash card game, the students will be able to identify the four quadrants for the coordinate plane. After participating in a quadrant flash card game, the students will be able to identify the quadrant for an ordered pair based on the signs of the coordinates. After practicing analyzing order pairs on a coordinate plane, the student will be able to reason about the location of two ordered pairs that differ only by signs. c. 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. After completing the coordinate plane activity, students will be able to plot all rational numbers on a horizontal or vertical number line. After watching the teacher model the construction of a coordinate plane, students will be able to identify the values of given points on a number line or coordinate plane. After completing the plotting of ordered pairs in a group, students will be able to plot ordered pairs on a coordinate plane. 6.NS.7 – Understand ordering and absolute value or rational numbers. 6.NS.7 a. – Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right. By the end of the class discussion, students will be able to compare two numbers on a number line based on their location. After completing 30 problems on comparing positive and negative integers, students will be able to express the comparison of two numbers using inequality symbols. After watching the teacher model plotting integers on a number line, students will be able to graph an inequality statement on a number line. 6.NS.7 b. – Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write -3C > -7C to express the fact that -3C is warmer than -7C. After working with other students solving inequalities in real-world math problems, the student will be able to explain inequalities used in real-world situations. 6.NS.7 c. – 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. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars. After reading the definition of absolute value and watching a video, the student will be able to define absolute value. After completing 40 word problems on absolute value, the student will be able to use absolute value to describe magnitude or size in real-world situations. 6.NS.7 d. – Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than -30 dollars represent a debt greater than 30 dollars. After practicing analyzing bank statements and bank accounts, the students will be able to compare the use of a signed number and the absolute value of a signed number when referring to a real-world banking situation. 6.NS.8 – 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. After watching the teacher model real world graphing problems using a coordinate plane, the student will be able to solve real-world problems by graphing in all four quadrants. After practicing analyzing ordered pairs in all four quadrants of a coordinate plane, the student will be able to use absolute values to find the distance between points with the same first or second coordinate.