Pacing Guide

6th Grade Mathematics

Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
August
Q1W1 / S1C1.PO5 – Express that a number’s distance from zero on the number line is its absolute value. / Galileo
CA-A / *Whole Numbers
*Sum
*Difference
*Product
*Quotient
*Estimate
*Rounding
*Absolute Value^ / 1.1
1.2
Ati-Online
August Q1W2 / S1C1.PO2 – Use prime factorization to: express a whole number as a product of its prime factors and determine the greatest common factor and least common multiple of two whole numbers / Galileo
CA-B / *Prime
*Composite
*Factor Tree
*Prime Factorization
*Factor
*Power
*Base
*Exponent
*Prime Factors
*Divisible
*Common Factor
*Greatest Common Factor
*Multiple
*Common Multiple
*Least Common Multiple / 1.3
5.1 (w/investigation)
5.2
5.4
August Q1W3 / S1C2.PO6 – Apply the commutative, associative, distributive, and identity properties to evaluate numerical expressions involving whole numbers. / CA-C / *Commutative Property
*Associative Property
*Distributive Property
*Identity Property
Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
August/ September Q1W4 / S1C1.PO6 – Express the inverse relationships between exponents and roots for perfect squares and cubes
S1C3.PO2 – Make estimates appropriate to a given situation and verify the reasonableness of the results / CA-D / *Verbal Model
*Perfect Square
*Square Root
*Cube Root
*Inverse Relationship^
September
Q1W5 / S1C2.PO2 –Multiply multi-digit decimals through thousandths
S1C2.PO3 - Divide multi-digit whole numbers and decimals by decimal divisors with and without remainders / CA-F / *Dividend
*Divisor
*Quotient
*Product / 4.1
4.3
4.4
4.5
4.6
September
Q1W6 / S1C1.PO1 –Convert between expressions for positive rational numbers, including fractions, decimals, percents, and ratios
S1C1.PO4 – Compare and order integers; and positive fractions, decimals, and percents
S1C2.PO5 – Provide a mathematical argument to explain operations with two or more fractions or decimals
S1C3.PO1 – Use benchmarks as meaningful points of comparison for rational numbers / CA-E / *
Decimal
*Place Value
*Number Line
*Rounding
*Leading Digit
*Front End Estimation / 1.7
3.1
3.3
3.4
3.5
3.6
October
Q1W7 / S1C1.PO1 – Convert between expressions for positive rational numbers, including fractions, decimals, percents, and ratios / CA-I / *Mixed Number
*Improper Fraction
*Proper Fraction
*Simplest Form
*Terminating Decimal
*Repeating Decimal / 5.6
5.7
5.8
September
Q1W8 / S1C2.PO7 - Simplify numerical expressions (involving fractions, decimals, and exponents) using the order of operations with or without grouping symbols. / CA-G / *Order of Operations
*Evaluate
*Grouping Symbols
*Numerical Expression
*Variable
*Variable Expression
*Equation
*Solve
*Solution
*Distributive Property / 1.4
1.5
1.6
4.2
September/ October
Q1W9 / S1C1.PO3 –Demonstrate an understanding of fractions as rates, division of whole numbers, parts of a whole, parts of a set, and locations on a real number line
S1C1.PO4 – Compare and order integers; and positive fractions, decimals, and percents / CA-H / *Fraction
*Equivalent Fractions
*Simplest Form
*Least Common Denominator / 5.3
5.5
Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
October / Fall Break / Break
October
Q2W1 / S1C2.PO5 – Provide a mathematical argument to explain operations with two or more fractions or decimals
S1C2.PO4 – Multiply and divide fractions
S1C2.PO7 - Simplify numerical expressions (involving fractions, decimals, and exponents) using the order of operations with or without grouping symbols. / CA-J / *Fraction
*Mixed Number
*Round
*Improper Fraction
*Least Common Denominator
*Simplest Form / 6.1
6.2
6.3
6.4
6.5
October
Q2W2 / S1C2.PO5 – Provide a mathematical argument to explain operations with two or more fractions or decimals
S1C2.PO4 – Multiply and divide fractions
S1C2.PO7 - Simplify numerical expressions (involving fractions, decimals, and exponents) using the order of operations with or without grouping symbols. / CA-K / *Whole Number
*Factor
*Common Factor
*Simplest Form
*Mixed Number
*Improper Fraction / 7.1
7.2
7.3
November
Q2W3 / S3C1.PO1 – Recognize, describe, create, and analyze a numerical sequence involving fractions and decimals using all four basic operations
S5C1.PO1 – Analyze algorithms for multiplying and dividing fractions and decimals using the associative, commutative, and distributive properties / CA-L / *Reciprocal
*Mixed Number
*Improper Fraction / 7.4
7.5
November
Q2W4 / S3C3.PO4 – Evaluate an expression involving the four basic operations by substituting given fractions and decimals for the variable / No School Thursday
CA-M / *Decimal
*Fraction
*Substitution
*Expression
*Order of Operations
November
Q2W5 / S3C3.PO2 – Create and solve two-step equations that can be solved using inverse properties with fractions and decimals / CA-N / *Function
*Input
*Output
*Two-Step Equation
*Inverse Operations / 12.5
Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
November
Q2W6 / S1C2.PO1 – Apply and interpret the concepts of addition and subtraction with integers using models
S5C2.PO9 – Solve simple logic problems, including conditional statements, and justify solution methods and reasoning / No School Wednesday, Thursday, Friday / *Number Line
*Absolute Value
*Opposites
*Conditional Statement
*Justify
*Logic Problem / 11.2 (w/ investigation)
11.3 (w/ investigation)
November/ December
Q2W7 / S2C1.PO1 – Solve problems by selecting, constructing, and interpreting displays of data, including histograms and stem-and-leaf plots
S2C1.PO2 - Formulate and answer questions by interpreting, analyzing, and drawing inferences from displays of data, including histograms and stem-and-leaf plots / CA-O / *Data
*Frequency Table
*Line Plot
*Histogram
*Stem-and-Leaf Plot
*Leaf
*Stem
*Bar Graph
*Double Bar Graph
*Circle Graph
*Scale / 2.4
2.5
2.7
13.4
13.5
13.7
December
Q2W8 / S2C1.PO4 – Compare two or more sets of data by identifying trends
S3C4.PO1 – Determine a pattern to predict missing values on a line graph or Scatter Plot
S2C1.PO3 – Use extreme values, mean, median, mode, and range to analyze and describe the distribution of a given data set / Galileo
CA-P / *Mean
*Median
*Mode
*Trend
*Scatter Plot
*Range
*Axes
*Vertical Axis (y-axis)
*Horizontal Axis (x-axis)
*Coordinates
*Ordered Pair
*Origin
*Line Graph / 2.6
2.8
Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
December
Q2W9 / S2C3.PO1 – Build and explore tree diagrams where items repeat
S2C2.PO3 – Determine all possible outcomes (sample space) of a given situation using a systematic approach
S2C3.PO2 – Explore counting problems with Venn diagrams using three attributes / Galileo
CA-Q / *Tree Diagram
*Outcome
*Event
*Favorable Outcome
*Probability
*Venn Diagram
*Sample Space
*Combination
*Permutation / 13.1 (w/ Extension)
13.2
December / Winter Break / Break
December / Break
January
Q3W1 / S1C1.PO1 –Convert between expressions for positive rational numbers, including fractions, decimals, percents, and ratios
S1C1.PO3 –Demonstrate an understanding of fractions as rates, division of whole numbers, parts of a whole, parts of a set, and locations on a real number line
S1C1.PO4 – Compare and order integers; and positive fractions, decimals, and percents / CA-R / *Ratio
*Equivalent Ratio
*Rate
*Unit Rate
*Proportion
*Cross Product / 8.1
8.2
8.3
January
Q3W2 / S1C1.PO1 –Convert between expressions for positive rational numbers, including fractions, decimals, percents, and ratios
S1C1.PO3 –Demonstrate an understanding of fractions as rates, division of whole numbers, parts of a whole, parts of a set, and locations on a real number line
S1C1.PO4 – Compare and order integers; and positive fractions, decimals, and percents / CA-S / *Percent
*Decimal
*Fraction
*Interest
*Principal
*Annual Interest Rate
*Simple Interest
*Percent Proportion
*Percent Equation / 8.5
8.6
8.7
January
Q3W3 / S2C4.PO1 – Investigate properties of vertex-edge graphs: Hamilton paths, Hamilton circuits, and shortest route
S2C4.PO2 – Solve problems related to Hamilton paths and circuits / No School Monday, Tuesday
CA-T / *Vertex-Edge Graph
*Hamilton Path
*Hamilton Circuit
*Shortest Route
January
Q3W4 / S2C2.PO1 – Use data collected from multiple trials of a single event to form a conjecture about the theoretical probability
S2C2.PO2 – Use theoretical probability to: predict experimental outcomes, compare the outcomes of the experiment to the prediction, and replicate the experiment and compare results / CA-U / *Independent Events
*Theoretical Probability
*Experimental Probability
*Trial
*Outcome
*Prediction
*Experiment / 13.1 (w Extension)
13.3
13.3 (w/ Extension)
Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
January/ February
Q3W5 / S4C3.PO1 – Graph ordered pairs in any quadrant of the coordinate plane
S4C3.PO2 – State the missing coordinate of a given figure on the coordinate plane using geometric properties to justify the solution / CA-V / *Coordinate Plane
*Quadrants
*Image
*Translation / 11.6
February
Q3W6 / S4C2.PO1 – Identify a simple translation or reflection and model its effect on a 2-dimenstional figure on a coordinate plane using all four quadrants
S4C2.PO2 – Draw a reflection of a polygon in the coordinate plane using a horizontal or vertical line of reflection / CA-W / *Acute Triangle
*Right Triangle
*Obtuse Triangle
*Equilateral Triangle
*Isosceles Triangle
*Scalene Triangle
*Parallelogram
*Rectangle
*Rhombus
*Square
*Quadrilateral
*Polygon
*Vertex
*Pentagon
*Hexagon
*Octagon
*Regular Polygon
*Diagonal
*Congruent
*Similar
*Corresponding Parts
*Line Symmetry
*Line of Symmetry
*Reflection
*Line of Reflection
*Rotation
*Center of Rotation
*Angle of Rotation
*Transformation / 9.4
9.5
9.6
9.7
9.8
11.7 (w/ extension)
Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
February
Q3W7 / S4C4.PO5 – Solve problems involving area and perimeter of regular and irregular polygons
S4C4.PO4 – Solve problems involving the area of simple polygons using formulas for rectangles and triangles
S5C1.PO2 – Create and justify an algorithm to determine the area of a given and compound figure using parallelograms and triangles / No School Monday
CA-X / *Perimeter
*Area
*Length
*Width
*Perpendicular
*Height
*Base
*Triangle
*Solid
*Prism
*Cylinder
*Pyramid
*Cone
*Sphere
*Face
*Edge
*Vertex
*Surface Area / 2.2
10.1
10.2
10.5
10.6
February
Q3W8 / S4C1.PO1 – Define pi as the ratio between the circumference and diameter of a circle and explain the relationship among the diameter, radius, and circumference
S4C4.PO6 – Describe the relationship between the volume of a figure and the area of its base / Galileo
CA-Y / *Circle
*Center
*Radius
*Diameter
*Circumference
*Pi
*Area
*Volume
*Prism / 10.3 (w/ Investigation)
10.4
10.7
Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
February/ March
Q3W9 / S4C1.PO2 – Solve problems using properties of supplementary, complementary, and vertical angles. / Galileo
CA-Z / *Point
*Endpoint
*Line
*Ray
*Segment
*Plane
*Parallel Lines
*Intersecting Lines
*Angle
*Vertex
*Degrees
*Right Angle
*Acute Angle
*Obtuse Angle
*Straight Angle
*Vertical Angle
*Complimentary Angles
*Supplementary Angles / 9.1
9.2
9.3
March
Q3W10 / S3C3.PO3 – Translate both ways between a verbal description and an algebraic expression or equation.
S3C3.PO1 – Use an algebraic expression to represent a quantity in a given context.
S3C2.PO1 – Recognize and describe a relationship between two quantities, given by a chart, table, or graph, using words and expressions. / CA-Z1 / *Variable Expression
*Equation
*Variable
*Solution
*Solve / 12.1
12.2
12.3
12.4
March / Spring Break / Break
Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
March
Q4W1 / S4C4.PO2 – Solve problems involving conversion within the U.S. Customary and within the metric system. / CA-Z2 / *Inch
*Foot
*Yard
*Mile
*Millimeter
*Centimeter
*Meter
*Kilometer
*Gram
*Decimeter
*Decameter
*Hectometer
*Ounce
*Pound
*Ton
*Fluid Ounce
*Cup
*Pint
*Quart
*Gallon / 2.1
3.2
4.8
7.6
7.7
March/
April
Q4W2 / S4C4.PO3 – Estimate the measure of objects using a scale drawing or map.
S4C4.PO1 – Determine the appropriate unit of measure for a given context and the appropriate tool to measure to the needed precision (including length, capacity, angles, time, and mass). / CA-Z3 / *Scale Drawing
*Scale
*Gram
*Milligram
*Kilogram
*Liter
*Milliliter
*Kiloliter
*Elapsed Time
*Hour
*Minute
*Second / 2.3
4.7
6.6
8.4
April
Q4W3 / AIMS TESTING / AIMS
April
Q4W4 / AIMS
Week of: / Performance Objective to be Taught / Testing and Vacations / Vocabulary / Resources
April
Q4W5 / Introduce Select 7th Grade performance objectives
April
Q4W6 / Introduce Select 7th Grade performance objectives
May
Q4W7 / Introduce Select 7th Grade performance objectives
May
Q4W8 / Introduce Select 7th Grade performance objectives
May
Q4W9 / Introduce Select 7th Grade performance objectives
May
Q4W10 / Introduce Select 7th Grade performance objectives

BCESD #15 (5/2011) BJH 6th Grade Mathematics Pacing Guide – Page 1 of 10