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Common Core: Math
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 In Topic C, students extend their understanding of the ordering of rational numbers in one dimension (on a number line) to the twodimensional space of the coordinate plane. They construct the plane...

 In Topic B, students apply their understanding of a rational number’s position on the number line (6.NS.C.6c) to order rational numbers. Students understand that when using a conventional horizontal...

 Topic A focuses on the development of the number line in the opposite direction (to the left or below zero). Students use positive integers to locate negative integers, understanding that a number...

 In Topic D, students think logically about multiplicative arithmetic. Students apply odd and even number properties and divisibility rules to find factors and multiples. They extend this...

 In Grades 4 and 5, students used concrete models, pictorial representations, and properties to divide whole numbers (4.NBT.6, 5.NBT.6). They became efficient in applying the standard algorithm for...

 Prior to division of decimals, students will revisit all decimal operations in Topic B. Students have had extensive experience of decimal operations to the hundredths and thousandths (5.NBT.7),...

 In Topic A, students extend their previous understanding of multiplication and division to divide fractions by fractions. They construct division stories and solve word problems involving division...

 Student Outcomes Students solve problems related to the distance between points that lie on the same horizontal or vertical line. Students use the coordinate plane to graph points, line segments and...

 Student Outcomes Students compute the length of horizontal and vertical line segments with integer coordinates for endpoints in the coordinate plane by counting the number of units between end points...

 Student Outcomes Students draw a coordinate plane on graph paper in two steps: (1) Draw and order the horizontal and vertical axes; (2) Mark the number scale on each axis. Given some points as...

 Student Outcomes Students understand that two numbers are said to differ only by signs if they are opposite of each other. Students recognize that when two ordered pairs differ only by sign of one or...

 Student Outcomes Students extend their understanding of the coordinate plane to include all four quadrants, and recognize that the axes (identified as the axis and axis) of the coordinate plane...

 Student Outcomes Students use ordered pairs to name points in a grid and to locate points on a map. Students identify the first number in an ordered pair as the first coordinate and the second number...

 Student Outcomes Students apply understanding of order and absolute value when examining real world scenarios. Students realize, for instance, that the depth of a location below sea level is the...

 Student Outcomes Students understand that the order of positive numbers is the same as the order of their absolute values. Students understand that the order of negative numbers is the opposite order...

 Student Outcomes Students understand the absolute value of a number as its distance from zero on the number line. Students use absolute value to find the magnitude of a positive or negative quantity...

 Student Outcomes Students write and explain inequality statements involving rational numbers. Students justify inequality statements involving rational numbers.

 Student Outcomes Students compare and interpret rational numbers’ order on the number line, making statements that relate the numbers’ location on the number line to their order. Students apply their...

 Student Outcomes Students write, interpret, and explain statements of order for rational numbers in the realworld. Students recognize that if a < b, then a > b, because a number and its...

 Student Outcomes Students write, interpret, and explain statements of order for rational numbers in the realworld. Students recognize that if a < b, then a > b, because a number and its...

 Student Outcomes Students use number lines that extend in both directions and use 0 and 1 to locate integers and rational numbers on the number line. Students know that the sign of a nonzero...

 Student Outcomes Students understand that, for instance, the opposite of 5 is denoted (5) and is equal to 5. In general, they know that the opposite of the opposite is the original number; e.g...

 Student Outcomes Students understand that each nonzero integer, a, has an opposite, denoted a; and that a and a are opposites if they are on opposite sides of zero and are the same distance from...

 Student Outcomes Students use positive and negative numbers to indicate a change (gain or loss) in elevation with a fixed reference point, temperature, and the balance in a bank account. Students use...