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 Grade 5 Module 2: MultiDigit Whole Number and Decimal Fraction Operations In Module 2 students apply patterns of the base ten system to mental strategies and a sequential study of multiplication...

 Grade 5 Module 6: Problem Solving with the Coordinate Plane In this 40day module, students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems. ...

 Grade 5 Module 4: Multiplication and Division of Fractions and Decimal Fractions Grade 5’s Module 4 extends student understanding of fraction operations to multiplication and division of both...

 Updated Modules and Curricular Resources The tables below reflect Mathematics and English Language Arts curricular materials and resources that have been updated. As additional materials are updated...

 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 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 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 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 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 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 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 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...

 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 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 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 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 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 and explain inequality statements involving rational numbers. Students justify inequality statements involving rational numbers.

 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 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 apply divisibility rules, specifically for 3 and 9, to understand factors and multiples.

 Student Outcomes Students find the least common multiple and greatest common factor and apply factors to the Distributive Property.

 Student Outcomes Students explore and discover that Euclid’s Algorithm is a more efficient means to finding the greatest common factor of larger numbers and determine that Euclid’s Algorithm is based...