Marking Period 1

Math Pacing Guide Grade 6

Number and Operations:

Meaning, Notation, Place Value and Comparisons

N.ME.06.07     Understand that a fraction or a negative fraction is a quotient of two integers, e.g., -8/3 is -8 divided by 3.  [FUT]

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.  [EXT]

N.ME.06.19     Understand that 0 is an integer that is neither negative nor positive.  [EXT]

Algebra:  Formulas, Expressions, Equations and Inequalities

A.FO.06.03     Use letters, with units, to represent quantities in a variety of contexts, e.g., y lbs., k minutes, x cookies.  [CORE]

A.FO.06.04     Distinguish between an algebraic expressions and an equation.  [CORE]

A.FO.06.06     Represent information given in words using algebraic expressions and equations.  [CORE]

Algebra:  Representation

A.RP.06.08     Understand that relationships between quantities can be suggested by graphs and tables.  [CORE]

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.  [FUT]

Measurement:  Units and Systems of Measurement

M.UN.06.01     Convert between basic units of measurement within a single measurement system, e.g., square inches to square feet.  [CORE]

Marking Period 2

Math Pacing Guide Grade 6

Number and Operations:  Meaning, Notation, Place Value and Comparisons

N.ME.06.05     Order rational numbers and place them on the number line.  [CORE]

N.ME.06.06     Represent rational numbers as fractions or terminating decimals when possible, and translate between these representations.  [EXT]

N.ME.06.16     Understand and use integer exponents, excluding powers of negative bases; express numbers in scientific notation. [FUT]

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.  [CORE]

Number and Operations:  Fluency with Operations and Estimation

N.FL.06.10     Add, subtract, multiply and divide positive rational numbers fluently. [CORE]

N.FL.06.15     Solve applied problems that use the four operations with appropriate decimal numbers.  [CORE]

Algebra:  Representation

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.  [CORE]

Marking Period 3

Math Pacing Guide Grade 6

Number and Operations:  Number Relationships and Meaning of Operations

N.MR.06.01     Understand division of fractions as the inverse of multiplication, e.g., if 4/5 ÷ 2/3 = r, then 2/3  • r = 4/5, so r= 4/5 • 3/2 = 12/10.  [CORE]

N.MR.06.03     Solve for the unknown in equations such as: ¼  ÷ r = 1,   

 ¾  ÷  r = ¼, and ½ = 1 • r.. [FUT]

N.MR.06.08     Understand integer subtraction as the inverse of integer addition.  Understand integer division as the inverse of integer multiplication.  [FUT]

Number and Operation:  Fluency with Operations and Estimation

N.FL.06.02     Given an applied situation involving dividing fractions, write a mathematical statement to represent the situation.  [CORE]

N.FL.06.04     Multiply and divide any two fractions, including mixed numbers, fluently.  [CORE]

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 s for addition and subtraction.  [FUT

Numbers and Operations:  Meaning, Notation, Place Value and Comparisons

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.  [EXT]

Measurement:  Problem Solving Involving Measurement

M.PS.06.02     Draw patterns  (of faces) for a cube and rectangular prism that, when cut, will cover the solid exactly.(nets).  [FUT]

Measurement:  Techniques and Formulas for Measurement

M.TE.06.03     Compute the volume and surface area of cubes and rectangular prisms given the lengths of their sides using formulas.  [FUT]

Geometry:  Geometric Shape and Properties and Mathematical Arguments

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 360°. [FUT]

G.GS.06.02     Understand that for polygons, congruence means corresponding sides and angles have equal measures.  [CORE]

Geometry:  Transformation and Symmetry

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.  [CORE]

G.TR.06.04     Understand and use simple compositions of basic rigid transformations, e.g., a translation followed by a reflection. [CORE]

Geometry:  Spatial Reasoning and Geometric Reasoning

G.SR.06.05     Use paper folding to perform basic geometric constructions of perpendicular lines, midpoints of line segments and angle bisectors; justify informally.  [NASL]

Marking Period 4

Math Pacing Guide Grade 6

Numbers and Operations:  Meaning, Notation, Place Value and Comparisons

N.ME.06.11     Find equivalent ratios by scaling up or scaling down.  [CORE]

Number and Operations:  Fluency with Operations and Estimation

N.FL.06.12      Calculate part of a number given the percentage and the number.  [EXT]

N.FL.06.14      For applied situations, estimate the answers to calculations involving operations with rational numbers. [CORE]

Number and Operations:  Number Relationships and Meaning of Operations

N.MR.06.13     Solve contextual problems involving percentages such as sales taxes and tips. [CORE]

Algebra:  Patterns, Relations, Functions and Change

A.PA. 06.01     Solve applied problems involving rates including speed, e.g., if a car is going 50 mph, how far will it go in 3½ hours?  [CORE]

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? [FUT]

Algebra:  Formulas, Expressions,

Equations, and Inequalities

A.FO.06.05     Use standard conventions for writing algebraic expressions, e.g., 2x + 1 means "two times x, plus 1" and 2(x+1) means "two times the quantity (x+1)." [FUT]

A.FO.06.07     Simplify expressions of the first degree by combining like terms, and evaluate using specific values.  [FUT]

A.FO.06.11     Relate simple linear equations with integer coefficients, e.g., 3x = 8 or x + 5 = 10, to particular contexts and solve.  [CORE]

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.  [CORE]

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.  [CORE]

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, using calculators otherwise, and interpret the results.  [FUT]

Data and Probability:  Probability

D.PR.06.01     Express probabilities as fractions, decimals or percentages between 0 and 1; know that 0 probability means an event will not occur and that probability 1 means an event will occur.  [CORE]

D.PR.06.02     Compute probabilities of events from simple experiments with equally likely outcomes, e.g., tossing dice, flipping coins, spinning spinners, by listing all possibilities and finding the fraction that meets given conditions.  [CORE]

Grade 6 Social Studies Pacing Guide

Historical Perspective

Geographical Perspective

Economic Perspective

Civic Perspective

Public Discourse
Decision Making

Inquiry

Marking Period

1

-Historical origins and individuals that helped to shape the contemporary conditions of North America with a U.S. focus.

-Significant events that shaped the development of North America.

-Relative locations of North America and thematic maps to investigate and analyze the physical, political, economic, and human characteristics of the U.S. 

- Human modification of  the environment and possible consequences of these modifications.

-Economic and political connections between the U. S. and countries in the Western Hemisphere. 

-How economic systems in the U.S. address the scarcity.

-The effects of current public policy on business in the Western Hemisphere.

-The roles of  economic institutions in the U.S.

-The contributions of the U. S. and other Western Hemisphere regions to trade.

-Representative democracy in the U. S. and other forms of government within the Western Hemisphere.

-The purposes and functions of major international governmental organizations within the Western Hemisphere.

-The means used by the U. S. to resolve international conflicts in the Western Hemisphere. 

-Interpret social science information about the natural environments and cultures in the U.S.  from a variety of primary and secondary sources.

Marking Period

2

-Historical origins and individuals that helped to shape the contemporary conditions of North America with a Canadian focus.

-Significant events that shaped the development of  Canada.

-Relative locations of North America and use of thematic maps to investigate and analyze the physical, political, economic, and human characteristics of Canada.

-Human modification of  the environment or some of the possible consequences of these modifications.

-Describe economic and political connections between the U. S. and Canada. 

-How economic systems in  Canada address scarcity.

-The effects of  Canadian public policy on business in the Western Hemisphere.

-The roles of  Canadian economic institutions  in the Western Hemisphere.

-The  contributions of  Canada  to trade.

-Representative democracy in the U. S. and Canada.

-The purposes and functions of major international governmental organizations within the Western Hemisphere.

-The means used by the

U. S. to resolve international conflicts with Canada. 

Marking Period

3

-Historical origins and individuals that helped to shape the contemporary conditions of Latin America and Caribbean.

-Significant events that shaped the development of  Latin America and Caribbean.

-The relative locations of  Latin American / Caribbean countries and use thematic maps to investigate and analyze the physical, political, economic, and human characteristics of specific countries.

-Human modification of  the environment and  some of the possible consequences of these modifications in Latin American and Caribbean countries.

-Economic and political connections between the U. S. and Latin America / Carribean countries. 

-How economic systems in  Latin America and the Caribbean address scarcity.

-The effects of current public policy on business in the Western Hemisphere.

-The roles of  Latin American and Caribbean economic institutions  in the Western Hemisphere.

-The contributions of Latin American and the Caribbean  regions to trade.

-Representative democracy in the U. S. and other forms of government within Latin America and Caribbean.

-The purposes and functions of major international governmental organizations within the Western Hemisphere.

-The means used by the

U. S. to resolve international conflicts in Latin America and the Carribean. 

-How culture and experience shape positions that people take on an issue.

Marking Period

4

-Historical origins and individuals that helped to shape the contemporary conditions of South America.

-Significant events that shaped the development of  South America.

-The relative locations of South American countries and use thematic maps to investigate and analyze the physical, political, economic, and human characteristics of selected countries.

-Human modification of  the environment and some of the possible consequences of these modifications.

-Economic and political connections between the U. S. and South American countries.

-How economic systems in South America address the problem of scarcity.

-The effects of current public policy on business in the Western Hemisphere.

-The roles of various economic institutions  in the Western Hemisphere.

-The current and potential contributions of   South American regions to trade.

-Representative democracy in the U. S. and other forms of government within South America.

-The purposes and functions of major international governmental organizations within the Western Hemisphere.

-The means used by the

U. S. to resolve international conflicts in South America. 

-Compose essays expressing decisions
on national and international public policy issues and justify his/her
position with reasoned arguments.