Download HI_CMP_8_2004_ED_LC.xls

Content Area: Math
Grade/Course: 8
Strand: Numbers and Operations
Standard 1: Numbers and Operations: NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and
number systems
Topic: Numbers and Number Systems
PAGE(S) WHERE TAUGHT
(If submission is not a
Benchmark
text, cite appropriate
resource(s))
MA.8.1.1 Identify situations SE:/TE: Looking for
represented by square
Pythagoras: 19, 22-25, 34roots and cube roots
39, 46-58, 59-62, 71-74
TE: Looking for
Pythagoras: 40a-40j, 52j,
63b, 70r
TECH: www.phschool.com
Used at school?
Alignment to
benchmark
map
2 (square
roots)
3 (cube roots)
MA.8.1.2 Compare and
order rational numbers and
square roots
SE:/TE: Looking for
Pythagoras: 7, 19, 22-25,
34-39, 46-58, 59-62, 71-74
Say It With Symbols: 5-8
Clever Counting: 37-40,
41-45
TE: Looking for
Pythagoras: 40a-40j, 52j,
63b, 70r
Say It With Symbols: 4b,
19a-19f
Clever Counting: 1e, 36j,
46a-46f
TECH: www.phschool.com
2
MA.8.1.3 Use ratios and
proportions to represent
the relationship between
two quantities
SE:/TE: Samples and
Populations: 5-23
3
TE: Samples and
Populations: 4b, 23a-23o
TECH: www.phschool.com
Strand: Numbers and Operations
Supplement
Standard 2: Numbers and Operations: OPERATION SENSE: Understand the meaning of operations and how they relate to each other
Topic: Operations
Benchmark
MA.8.2.1 Apply the order of
operations when calculating
with rational numbers
PAGE(S) WHERE TAUGHT
(If submission is not a
text, cite appropriate
resource(s))
SE:/TE: Say It With
Symbols: 5-11, 12-18
Used at school?
Alignment to
benchmark
map
Supplement
1
TE: Say It With Symbols:
1b, 4b, 19a-19h
TECH: www.phschool.com
MA.8.2.2 Demonstrate the
inverse relationship
between square numbers
and square roots, and
cubes and cubed roots
SE:/TE: Looking for
Pythagoras: 19, 22-25, 3439, 46-58, 59-62, 71-74
Thinking With
Mathematical Models: 36,
56, 60
Kaleidoscopes, Hubcaps,
and Mirrors: 62
2 (square
numbers and
square roots)
3 (cubes and
cubed roots)
TE: Looking for
Pythagoras: 40a-40j, 52j,
63b, 70r
Thinking With
Mathematical Models: 1a,
136
Kaleidoscopes, Hubcaps,
and Mirrors: 1g, 70h70k
TECH: www.phschool.com
Strand: Numbers and Operations
Standard 3: Numbers and Operations: COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use
estimation
Topic: Computational Fluency
Benchmark
MA.8.3.1 Add, subtract,
multiply, and divide
numbers with whole
number exponents
SE:/TE: Say It With
Symbols: 5-7, 8-9, 34-35,
73
Clever Counting: 27-31
2
TE: Say It With Symbols:
4b, 19a-19c, 19d19h, 52a52c, 52k-52m, 148
Clever Counting: 1b-1e,
26f-26g, 36d-36f
TECH: www.phschool.com
Topic: Estimation
Benchmark
MA.8.3.2 Estimate a
reasonable range (i.e.,
upper and lower limit) for
the solution to a problem
PAGE(S) WHERE TAUGHT
(If submission is not a
text, cite appropriate
resource(s))
SE:/TE: Looking for
Pythagoras: 60
Samples and Populations:
4, 6, 7-11, 17, 39, 47, 50,
51, 57
TE: Looking for
Pythagoras: 63b
Samples and Populations:
4b, 23e-23n, 23o
Used at school?
Alignment to
benchmark
map
Supplement
2
TECH: www.phschool.com
Strand: Measurement
Standard 4: Measurement: FLUENCY WITH MEASUREMENT: Understand attributes, units, and systems of units in measurement; and develop and
use techniques, tools, and formulas for measuring
Topic: Measurement Attributes and Units
Benchmark
MA.8.4.1 Select and use
appropriate units to
measure the surface area
and volume of solids
SE:/TE: Say It With
Symbols: 16, 17, 23-25,
65-66, 67-69
TE: Say It With Symbols:
33h-33j, 64v, 70a70f
TECH: www.phschool.com
Topic: Measurement Tools and Techniques
Benchmark
3
MA.8.4.2 Express rates of
change as a ratio of two
different measures, where
units are included in the
ratio, and use the derived
rate to solve problems
SE:/TE: Growing,
Growing, Growing: 33-37,
47-52
Looking for Pythagoras:
8-10, 12-15, 27-33, 34-39,
41-45, 46-51
TE: Growing, Growing,
Growing: 30h, 44a44g,
44h, 60c-60i
Looking for Pythagoras:
1c-1d, 4b, 40a-40j
TECH: www.phschool.com
3
Topic: Measurement Formulas
Benchmark
MA.8.4.3 Use ratios and
proportions to solve
measurement problems
MA.8.4.4 Use formulas to
determine the surface area
and volume of selected
prisms, cylinders, and
pyramids
PAGE(S) WHERE TAUGHT
(If submission is not a
text, cite appropriate
resource(s))
SE:/TE: Growing,
Growing, Growing: 16, 30,
44, 60
TE: Growing, Growing,
Growing: 1k, 4b, 16j, 30h,
44h
TECH: www.phschool.com
Used at school?
SE:/TE: Say It With
Symbols: 16, 23-25, 6566,
67-69
Alignment to
benchmark
map
Supplement
3
3
TE: Say It With Symbols:
33h-33j, 64v, 70a70f
TECH: www.phschool.com
Strand: Geometry and Spatial Sense
Standard 5: Geometry and Spatial Sense: PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the properties
Topic: Geometric Shapes and Their Properties and Relationships
Benchmark
MA.8.5.1 Apply the
Pythagorean theorem to
solve problems involving
right triangles
PAGE(S) WHERE TAUGHT
(If submission is not a
text, cite appropriate
resource(s))
SE:/TE: Looking for
Pythagoras: 4, 27-33,
3439, 41-45, 46-51
Used at school?
Alignment to
benchmark
map
Supplement
2
TE: Looking for
Pythagoras: 1d-1e, 26n,
40a40j, 40p, 52a-52h, 158
TECH: www.phschool.com
Strand: Geometry and Spatial Sense
Standard 6: Geometry and Spatial Sense: TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical
situations
Topic: Transformation
Benchmark
MA.8.6.1 Perform a
transformation (reflection,
rotation, translation) when
given a figure and
necessary parameters
SE:/TE: Kaleidoscopes,
Hubcaps and Mirrors: 1114, 15-22, 24-33, 34-40,
42-49, 50-57, 5963, 64-69
2
TE: Kaleidoscopes,
Hubcaps and Mirrors:
1a1g, 4b, 23i-23k, 23p, 41a41o, 41v, 58p, 70a70k, 203
TECH: www.phschool.com
MA.8.6.2 Describe the size,
position, and orientation of
shapes under
transformations and
compositions of
transformations
SE:/TE: Kaleidoscopes,
Hubcaps and Mirrors: 1114, 15-22, 24-33, 34-40,
42-49, 50-57, 5963, 64-69
TE: Kaleidoscopes,
Hubcaps and Mirrors:
1a1g, 4b, 23i-23k, 23p, 41a41o, 41v, 58p, 70a70k, 203
TECH: www.phschool.com
2
Strand: Geometry and Spatial Sense
Standard 7: Geometry and Spatial Sense: VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and
outside of mathematics
Topic: Visualization and Spatial Reasoning
Benchmark
PAGE(S) WHERE TAUGHT
(If submission is not a
text, cite appropriate
resource(s))
MA.8.7.1 Use twodimensional
representations of
pyramids, prisms, and
cylinders to solve problems
involving these figures
Strand: Geometry and Spatial Sense
Used at school?
Alignment to
benchmark
map
Supplement
3
Standard 8: Geometry and Spatial Sense: REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate
geometry
Topic: Coordinate Geometry
Benchmark
MA.8.8.1 Use coordinate
2
geometry to represent
transformations in the
coordinate plane
Strand: Patterns, Functions, and Algebra
Standard 9: Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional
relationships
Topic: Patterns
Benchmark
MA.8.9.1 Represent a
variety of patterns
(including recursive
patterns) with tables,
graphs (including graphing
technology when
available), words, and
when possible, symbolic
rules
Topic: Functions
1
Benchmark
MA.8.9.2 Use linear
relationships with two
variables to solve problems
PAGE(S) WHERE TAUGHT
(If submission is not a
text, cite appropriate
resource(s))
SE:/TE: Growing,
Growing, Growing: 17-20
Thinking With
Mathematical Models: 4,
5-14, 15-24, 61
TE: Growing, Growing,
Growing: 1d Thinking
With Mathematical
Models: 1a-1c, 25a-25j,
136
TECH: www.phschool.com
Used at school?
Alignment to
benchmark
map
Supplement
1
Topic: Functions
Benchmark
MA.8.9.3 Identify functions
1
as linear or nonlinear and
contrast their properties
from tables, graphs
(including graphing
technology when
available), or equations
Strand: Patterns, Functions, and Algebra
Standard 10: Patterns, Functions, and Algebra: SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical
situations
Topic: Numeric and Algebraic Representations
Benchmark
MA.8.10.1 Translate among
tables, graphs (including
graphing technology when
available), and equations
involving linear
relationships
MA.8.10.2 Solve linear
equations and inequalities
with two variables using
algebraic methods,
1
1
manipulatives, or models
MA.8.10.3 Use tables and
graphs to represent and
compare linear
relationships
Topic: Rates of Change
Benchmark
1
PAGE(S) WHERE TAUGHT
(If submission is not a
text, cite appropriate
resource(s))
Used at school?
MA.8.10.4 Use the slope of
a line to describe a
constant rate of change
Strand: Data Analysis, Statistics, and Probability
Alignment to
benchmark
map
Supplement
1
Standard 11: Data Analysis, Statistics, and Probability: FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer
those questions
Topic: Data Collection and Representation
Benchmark
MA.8.11.1 Design a study
that compares two
samples, collect data, and
select the appropriate
representation (e.g.,
double bar graph, back-toback stem and leaf plot,
parallel box and whisker
plots, scatter plot) to
compare the sets of data
SE:/TE: Samples and
Populations: 4, 5-25, 2728,
39, 41-42, 47, 49-54, 57
4
TE: Samples and
Populations: 1e-1g, 4b,
23e23n, 23o, 36a-36h, 62a62f, 148
TECH: www.phschool.com
Topic: Data Collection and Representation
Benchmark
PAGE(S) WHERE TAUGHT
(If submission is not a
text, cite appropriate
resource(s))
MA.8.11.2 Judge the
Used at school?
Alignment to
benchmark
map
4
Supplement
validity of data based on
the data collection method
Strand: Data Analysis, Statistics, and Probability
Standard 12: Data Analysis, Statistics, and Probability: STATISTICS: Interpret data using methods of exploratory data analysis
Topic: Data Interpretation
Benchmark
MA.8.12.1 Recognize
situations appropriate for
scatter plots
4
Topic: Data Interpretation
Benchmark
MA.8.12.2 Analyze different
representations of the
same data to describe how
representations can be
used to skew a person's
interpretation of the data
Strand: Data Analysis, Statistics, and Probability
4
Standard 13: Data Analysis, Statistics, and Probability: DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are
based on data
Topic: Predictions and Inferences
Benchmark
MA.8.13.1 Make
conjectures about possible
relationships between two
characteristics of a sample
based on interpretations of
scatter plots
4
Strand: Data Analysis, Statistics, and Probability
Standard 14: Data Analysis, Statistics, and Probability: PROBABILITY: Understand and apply basic notions of chance and probability
Topic: Probability
Benchmark
MA.8.14.1 Judge the
validity of conjectures that
are based on experiments
or simulations
PAGE(S) WHERE TAUGHT
(If submission is not a
text, cite appropriate
resource(s))
SE:/TE: Samples and
Populations: 4, 13-14, 4142
Used at school?
Alignment to
benchmark
map
Supplement
4
TE: Samples and
Populations: 1g-1i, 4b,
23n23o, 36f, 48f-48h
TECH: www.phschool.com
Major Understandings by Quarter (HI Benchmark Maps)
First Quarter: Wes’ suggested books: Thinking with Mathematical Models – Inv. 1 and 2 (and supplement)



Situations can be represented in different ways for different purposes
Understanding patterns can lead to educated predictions or solutions
Data sometimes behaves in predictable patterns (linear)
Second Quarter: Looking for Pythagoras + Kaleidescopes, Hubcaps, and Mirrors – Inv 1 and 2 (and supplement)
 Measurements may be taken directly, or derived from other measurements
 Numbers and situations can be represented in many ways for different purposes
 The position, location, and orientation of shapes can be manipulated through reflection, rotation, and translation
 Transformations can be precisely duplicated with a specific set of directions
Third Quarter: Filling and Wrapping + Comparing and Scaling (and supplement)
 Numbers and situations can be represented in many ways for different purposes
 Measurements may be taken directly, or derived from other measurements
 Rations help to compare quantities
 Known measurements can be used to determine other proportional measurements
Fourth Quarter: Samples and Populations and (supplement)
 Data helps people to understand situations and make informed decisions


Sometimes, certain representations can be fashioned to be misleading
Probabilities give us an idea of what we expect should happen in the long run
Curriculum Focal Points for Grade 8:
 Algebra: Analyzing and representing linear functions and solving linear equations and systems of linear
equations
 Geometry and Measurement: Analyzing two- and three- dimensional space and figures by using distance and
angle
 Data Analysis and Number and Operations and Algebra: Analyzing and summarizing data sets