N.MR.06.03 Solve for the unknown in equations such as1/4 ÷ ¦ = 1
N.ME.06.05 Order rational numbers and place them on the number line
N.ME.06.07 Understand that a fraction or a negative fraction is a quotient of two integers
N.MR.06.08 Understand integer subtraction as the inverse of integer addition. Understand integer division as the inverse of integer multiplication.*
N.FL.06.09 Add and multiply integers between -10 and 10; subtract and divide integers using the related facts. Use the number line and chip models for addition and subtraction.*
N.FL.06.10 Add, subtract, multiply and divide positive rational numbers fluently.
N.FL.06.14 For applied situations, estimate the answers to calculations involving operations with rational numbers.
N.ME.06.16 Understand and use integer exponents, excluding powers of negative bases; express numbers in scientific notation.*
N.ME.06.17 Locate negative rational numbers (including integers) on the number line; know that numbers and their negatives add to 0, and are on opposite sides and at equal distance from 0 on a number line.
N.ME.06.18 Understand that rational numbers are quotients of integers (non zero denominators), e.g., a rational number is either a fraction or a negative fraction.
N.ME.06.19 Understand that 0 is an integer that is neither negative nor positive.
N.ME.06.20 Know that the absolute value of a number is the value of the number ignoring the sign; or is the distance of the number from 0.
A.PA.06.01 Solve applied problems involving rates, including speed, e.g., if a car is going 50mph, how far will it go in 3 and 1/2 hours?
A.RP.06.02 Plot ordered pairs of integers and use ordered pairs of integers to identify points in all four quadrants of the coordinate plane.
A.FO.06.03 Use letters, with units, to represent quantities in a variety of contexts, e.g., y lbs., k minutes, x cookies.
A.FO.06.04 Distinguish between an algebraic expression and an equation.
A.FO.06.05 Use standard conventions for writing algebraic expressions
A.FO.06.06 Represent information given in words using algebraic expressions and equations.
A.FO.06.07 Simplify expressions of the first degree by combining like terms, and evaluate using specific values.
A.RP.06.08 Understand that relationships between quantities can be suggested by graphs and tables.
A.PA.06.09 Solve problems involving linear functions whose input values are integers; write the equation; graph the resulting ordered pairs of integers, e.g., given c chairs, the “leg function” is 4c; if you have 5 chairs, how many legs?; if you have 12 legs, how many chairs?*
A.RP.06.10 Represent simple relationships between quantities using verbal descriptions, formulas or equations, tables, and graphs, e.g., perimeter-side relationship for a square, distance-time graphs, and conversions such as feet to inches.
A.FO.06.11 Relate simple linear equations with integer coefficients, e.g., 3x = 8 or x + 5 = 10, to particular contexts and solve.*
A.FO.06.12 Understand that adding or subtracting the same number to both sides of an equation creates a new equation that has the same solution.
A.FO.06.13 Understand that multiplying or dividing both sides of an equation by the same non-zero number creates a new equation that has the same solutions.
A.FO.06.14 Solve equations of the form ax + b = c, e.g., 3x + 8 = 15 by hand for positive integer coefficients less than 20, use calculators otherwise, and interpret the results.
G.GS.06.01 Understand and apply basic properties of lines, angles, and triangles, including:
• triangle inequality
• relationships of vertical angles, complementary angles, supplementary angles
• congruence of corresponding and alternate interior angles when parallel lines are cut by a transversal, and that such congruencies imply parallel lines
• locate interior and exterior angles of any triangle, and use the property that an exterior angle of a triangle is equal to the sum of the remote (opposite) interior angles
• know that the sum of the exterior angles of a convex polygon is 360º.
G.GS.06.02 Understand that for polygons, congruence means corresponding sides and angles have equal measures.
G.TR.06.03 Understand the basic rigid motions in the plane (reflections, rotations, translations), relate these to congruence, and apply them to solve problems.
G.TR.06.04 Understand and use simple compositions of basic rigid transformations
G.SR.06.05 Use paper folding to perform basic geometric constructions of perpendicular lines, midpoints of line segments and angle bisectors; justify informally.