Download Pacing Guide 6th Grade Mathematics Week of: Performance

Pacing Guide
6th Grade Mathematics
Week of:
Performance Objective to be Taught
Testing and
Vacations
August
Q1W1
S1C1.PO5 – Express that a number’s distance from zero on the number
line is its absolute value.
Galileo
CA-A
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
August
Q1W3
S1C2.PO6 – Apply the commutative, associative, distributive, and identity
properties to evaluate numerical expressions involving whole numbers.
CA-C
BCESD #15 (5/2011)
Vocabulary
*Whole Numbers
*Sum
*Difference
*Product
*Quotient
*Estimate
*Rounding
*Absolute Value^
*Prime
*Composite
*Factor Tree
*Prime Factorization
*Factor
*Power
*Base
*Exponent
*Prime Factors
*Divisible
*Common Factor
*Greatest Common Factor
*Multiple
*Common Multiple
*Least Common Multiple
*Commutative Property
*Associative Property
*Distributive Property
*Identity Property
Resources
1.1
1.2
Ati-Online
1.3
5.1 (w/investigation)
5.2
5.4
BJH 6th Grade Mathematics Pacing Guide – Page 1 of 10
Week of:
Performance Objective to be Taught
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
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
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
October
Q1W7
S1C1.PO1 – Convert between expressions for positive rational numbers,
including fractions, decimals, percents, and ratios
September
Q1W8
S1C2.PO7 - Simplify numerical expressions (involving fractions,
decimals, and exponents) using the order of operations with or without
grouping symbols.
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
BCESD #15 (5/2011)
Testing and
Vacations
Vocabulary
CA-D
*Verbal Model
*Perfect Square
*Square Root
*Cube Root
*Inverse Relationship^
CA-F
*Dividend
*Divisor
*Quotient
*Product
CA-E
*
Decimal
*Place Value
*Number Line
*Rounding
*Leading Digit
*Front End Estimation
CA-I
CA-G
CA-H
*Mixed Number
*Improper Fraction
*Proper Fraction
*Simplest Form
*Terminating Decimal
*Repeating Decimal
*Order of Operations
*Evaluate
*Grouping Symbols
*Numerical Expression
*Variable
*Variable Expression
*Equation
*Solve
*Solution
*Distributive Property
*Fraction
*Equivalent Fractions
*Simplest Form
*Least Common Denominator
Resources
4.1
4.3
4.4
4.5
4.6
1.7
3.1
3.3
3.4
3.5
3.6
5.6
5.7
5.8
1.4
1.5
1.6
4.2
5.3
5.5
BJH 6th Grade Mathematics Pacing Guide – Page 2 of 10
Week of:
Performance Objective to be Taught
October
Fall Break
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.
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.
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
October
Q2W1
October
Q2W2
November
Q2W3
November
Q2W4
S3C3.PO4 – Evaluate an expression involving the four basic operations
by substituting given fractions and decimals for the variable
November
Q2W5
S3C3.PO2 – Create and solve two-step equations that can be solved
using inverse properties with fractions and decimals
BCESD #15 (5/2011)
Testing and
Vacations
Break
CA-J
CA-K
CA-L
No School
Thursday
CA-M
CA-N
Vocabulary
*Fraction
*Mixed Number
*Round
*Improper Fraction
*Least Common Denominator
*Simplest Form
*Whole Number
*Factor
*Common Factor
*Simplest Form
*Mixed Number
*Improper Fraction
*Reciprocal
*Mixed Number
*Improper Fraction
*Decimal
*Fraction
*Substitution
*Expression
*Order of Operations
*Function
*Input
*Output
*Two-Step Equation
*Inverse Operations
Resources
6.1
6.2
6.3
6.4
6.5
7.1
7.2
7.3
7.4
7.5
12.5
BJH 6th Grade Mathematics Pacing Guide – Page 3 of 10
Week of:
Performance Objective to be Taught
Testing and
Vacations
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
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
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
BCESD #15 (5/2011)
Vocabulary
*Number Line
*Absolute Value
*Opposites
*Conditional Statement
*Justify
*Logic Problem
*Data
*Frequency Table
*Line Plot
*Histogram
*Stem-and-Leaf Plot
*Leaf
*Stem
*Bar Graph
*Double Bar Graph
*Circle Graph
*Scale
*Mean
*Median
*Mode
*Trend
*Scatter Plot
*Range
*Axes
*Vertical Axis (y-axis)
*Horizontal Axis (x-axis)
*Coordinates
*Ordered Pair
*Origin
*Line Graph
Resources
11.2 (w/ investigation)
11.3 (w/ investigation)
2.4
2.5
2.7
13.4
13.5
13.7
2.6
2.8
BJH 6th Grade Mathematics Pacing Guide – Page 4 of 10
Week of:
Performance Objective to be Taught
Testing and
Vacations
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
December
December
Winter Break
Break
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
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
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
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
BCESD #15 (5/2011)
CA-R
CA-S
No School
Monday,
Tuesday
CA-T
CA-U
Vocabulary
Resources
*Tree Diagram
*Outcome
*Event
*Favorable Outcome
*Probability
*Venn Diagram
*Sample Space
*Combination
*Permutation
13.1 (w/ Extension)
13.2
*Ratio
*Equivalent Ratio
*Rate
*Unit Rate
*Proportion
*Cross Product
8.1
8.2
8.3
*Percent
*Decimal
*Fraction
*Interest
*Principal
*Annual Interest Rate
*Simple Interest
*Percent Proportion
*Percent Equation
*Vertex-Edge Graph
*Hamilton Path
*Hamilton Circuit
*Shortest Route
*Independent Events
*Theoretical Probability
*Experimental Probability
*Trial
*Outcome
*Prediction
*Experiment
8.5
8.6
8.7
13.1 (w Extension)
13.3
13.3 (w/ Extension)
BJH 6th Grade Mathematics Pacing Guide – Page 5 of 10
Week of:
Performance Objective to be Taught
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
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
BCESD #15 (5/2011)
Testing and
Vacations
CA-V
CA-W
Vocabulary
*Coordinate Plane
*Quadrants
*Image
*Translation
*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
Resources
11.6
9.4
9.5
9.6
9.7
9.8
11.7 (w/ extension)
BJH 6th Grade Mathematics Pacing Guide – Page 6 of 10
Week of:
Performance Objective to be Taught
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
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
BCESD #15 (5/2011)
Testing and
Vacations
No School
Monday
CA-X
Galileo
CA-Y
Vocabulary
*Perimeter
*Area
*Length
*Width
*Perpendicular
*Height
*Base
*Triangle
*Solid
*Prism
*Cylinder
*Pyramid
*Cone
*Sphere
*Face
*Edge
*Vertex
*Surface Area
*Circle
*Center
*Radius
*Diameter
*Circumference
*Pi
*Area
*Volume
*Prism
Resources
2.2
10.1
10.2
10.5
10.6
10.3 (w/ Investigation)
10.4
10.7
BJH 6th Grade Mathematics Pacing Guide – Page 7 of 10
Week of:
February/
March
Q3W9
March
Q3W10
March
Performance Objective to be Taught
S4C1.PO2 – Solve problems using properties of supplementary,
complementary, and vertical angles.
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.
Spring Break
BCESD #15 (5/2011)
Testing and
Vacations
Vocabulary
Resources
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
CA-Z1
*Variable Expression
*Equation
*Variable
*Solution
*Solve
12.1
12.2
12.3
12.4
Break
BJH 6th Grade Mathematics Pacing Guide – Page 8 of 10
Week of:
Performance Objective to be Taught
March
Q4W1
S4C4.PO2 – Solve problems involving conversion within the U.S.
Customary and within the metric system.
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).
April
Q4W3
April
Q4W4
AIMS TESTING
Testing and
Vacations
CA-Z2
CA-Z3
Vocabulary
*Inch
*Foot
*Yard
*Mile
*Millimeter
*Centimeter
*Meter
*Kilometer
*Gram
*Decimeter
*Decameter
*Hectometer
*Ounce
*Pound
*Ton
*Fluid Ounce
*Cup
*Pint
*Quart
*Gallon
*Scale Drawing
*Scale
*Gram
*Milligram
*Kilogram
*Liter
*Milliliter
*Kiloliter
*Elapsed Time
*Hour
*Minute
*Second
Resources
2.1
3.2
4.8
7.6
7.7
2.3
4.7
6.6
8.4
AIMS
BCESD #15 (5/2011)
AIMS
BJH 6th Grade Mathematics Pacing Guide – Page 9 of 10
Week of:
April
Q4W5
April
Q4W6
May
Q4W7
May
Q4W8
May
Q4W9
May
Q4W10
Performance Objective to be Taught
Testing and
Vacations
Vocabulary
Resources
Introduce Select 7th Grade performance objectives
Introduce Select 7th Grade performance objectives
Introduce Select 7th Grade performance objectives
Introduce Select 7th Grade performance objectives
Introduce Select 7th Grade performance objectives
Introduce Select 7th Grade performance objectives
BCESD #15 (5/2011)
10
BJH 6th Grade Mathematics Pacing Guide – Page 10 of