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Common Core: Math
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 Student Outcomes Students understand that a letter in an expression or an equation can represent a number. When that number is replaced with a letter, an expression or an equation is stated....

 Student Outcomes Students understand that a letter represents one number in an expression. When that number replaces the letter, the expression can be evaluated to one number.

 Student Outcomes Students evaluate numerical expressions. They recognize that in the absence of parentheses, exponents are evaluated first.

 Student Outcomes Students discover that 3x = x + x + x is not the same thing as x3 which is x times x times x. Students understand that a base number can be represented with a positive whole number...

 Student Outcomes Students build and clarify the relationship of division and subtraction by determining that 12 divided by x means 12  x  x  x  x = 0.

 Student Outcomes Students build and clarify the relationship of multiplication and addition by evaluating identities such as 3 times g = g + g + g.

 Student Outcomes Students build and clarify the relationship of multiplication and division by evaluating identities such as a divided by b times b equals a and a times b divided by b equals a.

 Student Outcomes Students build and clarify the relationship of addition and subtraction by evaluating identities such as w  x + x = w and w + x  x = w.

 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...