Download Curriculum Map - Delaware City Schools

Delaware City Schools Consensus Maps
Month
September
2008
Content/Essential Questions
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Grade 6 Math
Skills
Number and Operations
Measurement
2.E.4 Power Indicator: Determine
which measure(perimeter, area, surface
area, volume) matches the context for a
problem situation; e.g., perimeter is the
context for for fencing a garden, surface
area is the context for painting a room.
2.G.5-Understand the difference
between perimeter and area, and
demonstrate that two shapes may have the
same perimeter, but
different areas or may have the same area,
but different perimeters.
Geometry
Patterns, Functions & Algebra
Data Analysis
5.A.1 Power Indicator: Read,
construct and interpret line graphs, circle
graphs and
histograms.
5.B.5-Describe the frequency
distribution of a set of data, as shown in a
histogram or frequency table, by general
appearance or shape; e.g.,
number of modes, middle of data, level of
symmetry, outliers.
5.D.3- Compare representations of the
same data in different types of
graphs, such as a bar graph and circle
graph.
5.E.2-Select, create and use graphical
representations that are appropriate for the
type of data collected.
5.F.4-Understand the different
information provided by measures of
center (mean, mode and median) and
measures of spread (range).
5.G.6-Make logical inferences from
statistical data.
Activities/Resources
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
August/ September
Everyday Math Units 1 & 2
Assessment
1.Study Island Pre-Test
2. Study Island Topics:
A. Interpret Graphs
B. Central Tendency
C. Frequency Distribution
Lessons 1.1 - 2.3
Factor Captor
Landmark Shark
1st to 100
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Grade 6 Math
Month
October
2008
November
2008
Content/Essential Questions
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Skills
Delaware City Schools Consensus Maps
Activities/Resources
Number and Operations
1.G.1-Decompose and recompose
whole numbers using factors and
exponents (e.g., 32 = 2 x 2 x 2 x 2 x 2 = 25
), and explain why squared means second
power and cubed means third
power.
1.I.11-Perform fraction and decimal
computations and justify their solutions;
e.g., using manipulatives, diagrams,
mathematical reasoning.
1.H.12-Develop and analyze
algorithms for computing with fractions
and decimals, and demonstrate fluency in
their use.
Measurement
Geometry
Patterns, Functions & Algebra
4.A.2-Solve simple linear equations
and inequalities using physical models,
paper and pencil, tables and graphs.
Data Analysis
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Number and Operations
1.G.2 Power Indicator: Find and use
the prime factorization of composite
numbers. For
example:
a. Use the prime factorization to
recognize the greatest common
factor (GCF).
b. Use the prime factorization to
recognize the least common
multiple (LCM).
c. Apply the prime factorization to solve
problems and explain
solutions.
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Everyday Math Units 2 & 3
Lessons 2.4 - 3.3
Factor Captor
Landmark Shark
1st to 100
Exponent Ball
Everyday Math Units 3 & 4
Lessons 3.4 - 4.4
Assessment
1. Study Island Topics:
A. Multiply & Divide Fractions &
Decimals
B. Compute Solutions
C. Estimate Solutions
D. Real World Problems
2. Term-One Common Assessment
Study Island Topics:
A. Prime Factorization
B. Ratios
C. Proportions & Percents
D. Order of Operations
E. Integers
Factor Captor
Landmark Shark
1st to 100
Exponent Ball
Angle Tangle
2 of 9
Grade 6 Math
Month
Content/Essential Questions
Skills
Delaware City Schools Consensus Maps
Activities/Resources
Assessment
1.I.13-Estimate reasonable solutions
to problem situations involving fractions
and decimals; e.g.,7/8+12/13 congruent to
2 and 4.23 x 5.8 congruent to 25.
Measurement
2.C.3-Estimate perimeter or
circumference and area for circles,
triangles
and quadrilaterals, and surface area and
volume for prisms and
cylinders by:
a. estimating lengths using string or links,
areas using tiles or grid,and volumes using
cubes;
b. measuring attributes (diameter, side
lengths, or heights) and using established
formulas for circles, triangles, rectangles,
parallelograms and rectangular prisms.
Geometry
Patterns, Functions & Algebra
4.A.1-Represent and analyze patterns,
rules and functions, using physical
materials, tables and graphs.
4.C.5-Produce and interpret graphs
that represent the relationship
between two variables.
4.C.6-Evaluate simple expressions by
replacing variables with given
values, and use formulas in problemsolving situations.
4.M.8-Use technology to analyze
change; e.g., use computer applications or
graphing calculators to display and
interpret rate of change.
Data Analysis
December
2008
Number and Operations
Measurement
Geometry
Number and Operations
1.C.4-Describe what it means to find
a specific percent of a number, using
Number and Operations
Measurement
Geometry
Study Island Topics:
A. Prime Factorization
B. Ratios
3 of 9
Grade 6 Math
Month
Content/Essential Questions
Patterns, Functions & Algebra
Data Analysis
January
2009
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Skills
real-life examples.
1.I.11-Perform fraction and decimal
computations and justify their
solutions; e.g., using manipulatives,
diagrams, mathematical
reasoning.
1.H.12-Develop and analyze
algorithms for computing with fractions
and decimals, and demonstrate fluency in
their use.
1.I.13-Estimate reasonable solutions
to problem situations involving fractions
and decimals; e.g.,7/8+12/13 congruent to
2 and 4.23 x 5.8 congruent to 25.
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Number and Operations
1.I.7-Use simple expressions
involving integers to represent and solve
problems; e.g., if a running back loses 15
yards on the first carry but
gains 8 yards on the second carry, what is
the net gain/loss?
1.H.8-Represent multiplication and
division situations involving fractions
and decimals with models and visual
representations; e.g., show
with pattern blocks what it means to take 2
2/3 divided by 1/6 .
1.I.10-Recognize that a quotient may
be larger than the dividend when the
divisor is a fraction; e.g., 6 divided by
1/2 = 12.
Measurement
2.C.2-Use strategies to develop
formulas for finding circumference and
area of circles, and to determine the area of
Delaware City Schools Consensus Maps
Activities/Resources
Patterns, Functions & Algebra
Data Analysis
Assessment
C. Proportions & Percents
D. Order of Operations
E. Integers
Everyday Math Unit 4
Lessons 4.5 - 4.11
Factor Captor
Landmark Shark
1st to 100
Exponent Ball
Angle Tangle
Credit/Debit
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
1. Study Island Topics:
A. Circles
B. Perimeter & Area
C. Surface Area & Volume
D. Triangles
Everyday Math Units 5 & 6
Lessons 5.1 - 6.3
2. Term-Two Common Assessment
Factor Captor
Landmark Shark
1st to 100
Exponent Ball
Angle Tangle
Credit/Debit
Multiplication Wrestling
4 of 9
Grade 6 Math
Month
Content/Essential Questions
Skills
Delaware City Schools Consensus Maps
Activities/Resources
Assessment
sectors; e.g.,
1/2, 2/3, 1/3 and 1/4 of a circle.
Geometry
3.D.1-Classify and describe twodimensional and three-dimensional
geometric figures and objects by using
their properties; e.g., interior angle
measures, perpendicular/parallel sides,
congruent angles/sides
3.D.2-Power Indicator-Use standard
language to define geometric vocabulary:
vertex, face,
altitude, diagonal, isosceles, equilateral,
acute, obtuse and other
vocabulary as appropriate.
3.G.3-Use multiple classification
criteria to classify triangles; e.g., right
scalene triangle.
3.D.4-Identify and define
relationships between planes; i.e.,
parallel,perpendicular and intersecting.
3.H.5-Predict and describe sizes,
positions and orientations of twodimensional shapes after transformations
such as reflections,
rotations, translations and dilations.
3.I.7-Build three-dimensional objects
with cubes, and sketch the
two-dimensional representations of each
side; i.e., projection sets.
Patterns, Functions & Algebra
Data Analysis
February
2009
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Number and Operations
1.D.3-Recognize and generate
equivalent forms of algebraic expressions,
and explain how the commutative,
associative and distributive
properties can be used to generate
equivalent forms; e.g., perimeter
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
1. Study Island Topics:
A. Circles
B. Perimeter & Area
C. Surface Area & Volume
D. Triangles
Everyday Math Units 6 & 7
5 of 9
Grade 6 Math
Month
Content/Essential Questions
Skills
as 2(l + w) or 2l + 2w.
1.E.6 Power Indicator: Use the order
of operations, including the use of
exponents, decimals and rational
numbers, to simplify numerical
expressions.
Measurement
Geometry
Patterns, Functions & Algebra
4.D.3 Power Indicator: Recognize
and generate equivalent forms of
algebraic expressions,
and explain how the commutative,
associative and distributive
properties can be used to generate
equivalent forms; e.g., perimeter
as 2(l + w) or 2l + 2w.
Delaware City Schools Consensus Maps
Activities/Resources
Assessment
Lessons 6.4 - 7.3
Factor Captor
Landmark Shark
1st to 100
Exponent Ball
Angle Tangle
Credit/Debit
Multiplication Wrestling
Algebra Election
4.H.4-Solve simple linear equations
and inequalities using physical models,
paper and pencil, tables and graphs.
4.K.4-Solve simple linear equations and
inequalities using physical models, paper
and pencil, tables and graphs.
Data Analysis
4.K.7-Identify and describe situations
with constant or varying rates of
change, and compare them.
March
2009
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Number and Operations
1.D.3-Explain why a number is
referred to as being rational, and
recognize that the expression a/b can
mean a parts of size 1/b each,
a divided by b, or the ratio of a to b.
1.D.5-Use models and pictures to
relate concepts of ratio, proportion and
percent, including percents less than 1 and
greater than 100.
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Everyday Math Units 7 & 8
Lessons 7.4 - 8.6
Factor Captor
1. Study Island Topics:
A. Object Transformations
B. Similar Figures
C. Drawing Objects
D. Algebraic Expressions
2. Term-Three
Common Assessment
6 of 9
Grade 6 Math
Month
April 2009
Content/Essential Questions
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Skills
Delaware City Schools Consensus Maps
Activities/Resources
Lessons 1.11, 5.3, 8.1, 8.2, 8.8
1.E.6 Power Indicator: Use the order
of operations, including the use of
exponents, decimals and rational
numbers, to simplify numerical
expressions.
1.D.9-Give examples of how ratios
are used to represent comparisons; e.g.,
part-to-part, part-to-whole, whole-to-part.
lesson 8.6
1.I.14-Use proportional reasoning,
ratios and percents to represent
problem situations and determine the
reasonableness of solutions.
1.I.15-Determine the percent of a
number and solve related problems; e.g.,
find the percent markdown if the original
price was $140, and the
sale price is $100.
lesson 8.5
Measurement, Geometry
Patterns, Functions & Algebra
4.L.7-Identify and describe situations
with constant or varying rates of
change, and compare them.
Data Analysis
Landmark Shark
1st to 100
Exponent Ball
Angle Tangle
Credit/Debit
Multiplication Wrestling
Algebra Election
Guess That Number
Number and Operations
1.C.4-Describe what it means to find
a specific percent of a number, using
real-life examples.
1.C.5-Use models and pictures to
relate concepts of ratio, proportion and
percent, including percents less than 1 and
greater than 100.
1.D.9-Give examples of how ratios
are used to represent comparisons; e.g.,
part-to-part, part-to-whole, whole-to-part.
1.I.14-Use proportional reasoning,
ratios and percents to represent
problem situations and determine the
Number and Operations
Measurement
Geometry
Patterns, Functions & Algebra
Data Analysis
Everyday Math Units 8 & 9
Lessons 8.7 - 9.7
Assessment
1. Ohio Achievement Test
Study Island Topics:
A. Rational Numbers
B. Planes
C. Linear Equations &
Inequalities
D. Probability
2.
Factor Captor
Landmark Shark
1st to 100
Exponent Ball
Angle Tangle
7 of 9
Grade 6 Math
Month
May/June
2009
Content/Essential Questions
Number and Operations
Measurement
Geometry
Skills
Delaware City Schools Consensus Maps
Activities/Resources
reasonableness of solutions.
Measurement
2.F.6-Describe what happens to the
perimeter and area of a two-dimensional
shape when the measurements of the shape
are
changed; e.g. length of sides are doubled.
2.F.1 Power Indicator: Understand
and describe the difference between
surface area and
volume.
Geometry
3.D.1-Classify and describe twodimensional and three-dimensional
geometric figures and objects by using
their properties; e.g., interior angle
measures, perpendicular/parallel sides,
congruent angles/sides.
3.D.2 Power Indicator: Use standard
language to define geometric vocabulary:
vertex, face, altitude, diagonal, isosceles,
equilateral, acute, obtuse and other
vocabulary as appropriate.
3.H.5-Predict and describe sizes,
positions and orientations of
two-dimensional shapes after
transformations such as reflections,
rotations, translations and dilations.
3.F.6 and 3.J.6 Power Indicator:
Draw similar figures that model
proportional relationships; e.g., model
similar figures with a 1 to 2 relationship
by sketching two of the same figure, one
with corresponding sides twice the length
of the other.
Patterns, Functions & Algebra
Data Analysis
Credit/Debit
Multiplication Wrestling
Algebra Election
Guess That Number
Fraction/ Percent Bingo
Baseball Multiplication
Top-It
Frac-Tac-Toe
Hidden Treasure
Number and Operations
Measurement
2.C.3-Estimate perimeter or
Number and Operations
Measurement
Geometry
Assessment
1. Common Assessment: Study
Island Post-Test 6th Grade
8 of 9
Grade 6 Math
Month
Content/Essential Questions
Patterns, Functions & Algebra
Data Analysis
Skills
circumference and area for circles,
trianglesand quadrilaterals, and surface
area and volume for prisms and
cylinders by:
a. estimating lengths using string or links,
areas using tiles or grid,and volumes using
cubes;
b. measuring attributes (diameter, side
lengths, or heights) and using established
formulas for circles, triangles, rectangles,
parallelograms and rectangular prisms.
Geometry
3.D.1-Classify and describe twodimensional and three-dimensional
geometric figures and objects by using
their properties; e.g., interior
angle measures, perpendicular/parallel
sides, congruent
angles/sides.
3.D.2 Power Indicator; Use standard
language to define geometric vocabulary:
vertex, face, altitude, diagonal, isosceles,
equilateral, acute, obtuse and other
vocabulary as appropriate.
3.H.5-Predict and describe sizes,
positions and orientations of
two-dimensional shapes after
transformations such as reflections,
rotations, translations and dilations.
3.F.6 and 3.J.6; Power IndicatorDraw similar figures that model
proportional relationships; e.g., model
similar figures with a 1 to 2 relationship
by sketching two of the same figure, one
with corresponding sides twice the length
of the other.
Patterns, Functions & Algebra
Data Analysis
Delaware City Schools Consensus Maps
Activities/Resources
Patterns, Functions & Algebra
Data Analysis
Assessment
2. Study Island Pre-Test 7th Grade
Everyday Math Units 9 & 10
May/June:
Lessons 9.8 - 10.5
Factor Captor
Landmark Shark
1st to 100
Exponent Ball
Angle Tangle
Credit/Debit
Multiplication Wrestling
Algebra Election
Guess That Number
Fraction/ Percent Bingo
Baseball Multiplication
Top-It
Frac-Tac-Toe
Hidden Treasure
9 of 9