Topic 1 - Variables and Expressions
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Topic 2 – The Identity and Zero Properties
Topic 3 –Equations and Inequalities
Topic 4 – Two Variable Relationships
Topic 5 – Multiplying Fractions
Topic 6 – Dividing Fractions
Topic 7 – Fluency With Decimals
Topic 8 – Integers
Topic 9 – Rational Number
Topic 10 – Ratios
Topic 11 – Rates
Topic 12 – Ratio Reasoning
Topic 13 – Area
• Standards for Mathematical Content 6.G.A.2, 6.G.A.4, 6.EE.A.2c
• Standards for Mathematical Practice All of the standards are addressed,
with an emphasis on MP5 and MP8. For the full text of the Standards for
Mathematical
Practice,
the Unit pages
of the
Teacher
Guide.
Topic
14 - see
Surface
Area
and
Volume
DOMAIN Geometry
6.G.A.2 Find the volume of a right rectangular prism with fractional edge lengths by
packing it with unit cubes of the appropriate unit fraction edge lengths, and show that
the volume is the same as would be found by multiplying the edge lengths of the
prism. Apply the formulas V
w h and V b h to find volumes of right
rectangular prisms with fractional edge lengths in the context of solving real-world and
mathematical problems.
6.G.A.4 Represent three-dimensional figures using nets made up of rectangles and
triangles, and use the nets to find the surface area of these figures. Apply these
techniques in the context of solving real-world and mathematical problems.
6.EE.A.2c Evaluate expressions at specific values of their variables. Include
expressions that arise from formulas used in real-world problems. Perform arithmetic
operations, including those involving whole-number exponents, in the conventional
order when there are no parentheses to specify a particular order (Order of
Operations).
Looking Back
Looking Ahead
Grade 6
Grade 7
6.G.A.1 Find the area of right triangles,
other triangles, special quadrilaterals, and
polygons by composing into rectangles or
decomposing into triangles and other
shapes; apply these techniques in the
context of solving real-world and
mathematical problems.
7.G.B.6 Solve real-world and
mathematical problems involving
area, volume and surface area of twoand three-dimensional objects
composed of triangles, quadrilaterals,
polygons, cubes, and right prisms.
Grade 8
Grade 5
5.MD.B.5b Apply the formula V
w h
and V b h for rectangular prisms to find
volumes of right rectangular prisms with
whole-number edge lengths in the context
of solving real world and mathematical
problems.
8.G.C.9 Know the formulas for the
volumes of cones, cylinders, and
spheres and use them to solve
real-world and mathematical
problems.
– grade 6 • Teacher Guide
6.SP.B.5a, 6.SP.B.5b, 6.SP.B.5c, 6.NS.C.6c
• Standards for Mathematical Practice All of the standards are addressed, with
an emphasis on MP1, MP2, and MP3. For the full text of the Standards for
Mathematical Practice,
see15
the Unit
pages ofDisplays
the Teacher Guide.
Topic
- Data
DOMAIN Statistics and Probability
6.SP.A.1 Recognize a statistical question as one that anticipates variability in the
data related to the question and accounts for it in the answers
6.SP.B.4 Display numerical data in plots on a number line, including dot plots,
histograms, and box plots.
6.SP.B.5 Summarize numerical data sets in relation to their context, such as by:
6.SP.B.5a Reporting the number of observations.
6.SP.B.5b Describing the nature of the attribute under investigation, including how it
was measured and its units of measurement.
6.SP.B.5c Giving quantitative measures of center (median and/or mean) and
variability (interquartile range and/or mean absolute deviation), as well as describing
any overall pattern and any striking deviations from the overall pattern with reference
to the context in which the data were gathered.
6.NS.C.6c Find and position integers and other rational numbers on a horizontal or
vertical number line diagram; find and position pairs of integers and other rational
numbers on a coordinate plane.
Looking Back
Looking Ahead
Grade 5
Grade 6
5.MD.B.2 Make a line plot to display a
data set of measurements in fractions of
a unit (1/2, 1/4, 1/8). Use operations on
fractions for this grade to solve problems
involving information presented in line
plots.
6.SP.A.2 Understand that a set of data
collected to answer a statistical question
has a distribution which can be described
by its center, spread, and overall shape.
Grade 4
4.MD.B.4 Make a line plot to display a
data set of measurements in fractions of
a unit (1/2, 1/4, 1/8). Solve problems
involving addition and subtraction of
fractions by using information presented
in line plots.
6.SP.A.3 Recognize that a measure of
center for a numerical data set
summarizes all of its values with a single
number, while a measure of variation
describes how its values vary with a
single number.
6.SP.B.5d Summarize numerical data
sets in relation to their context, such as
by: Relating the choice of measures of
center and variability to the shape of the
data distribution and the context in which
the data were gathered.
– grade 6 • Teacher Guide
6.SP.B.5c, 6.SP.B.5d
• Standards for Mathematical Practice All of the standards are addressed,
with an emphasis on MP4 and MP6. For the full text of the Standards for
Mathematical
see the Unitof
pages
of the Teacher
Topic
16 Practice,
- Measures
Center
and Guide.
Variation
DOMAIN Statistics and Probability
6.SP.A.2 Understand that a set of data collected to answer a statistical question has
a distribution which can be described by its center, spread, and overall shape.
6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes
all of its values with a single number, while a measure of variation describes how its
values vary with a single number.
6.SP.B.4 Display numerical data in plots on a number line, including dot plots,
histograms, and box plots.
6.SP.B.5 Summarize numerical data sets in relation to their context, such as by:
6.SP.B.5b Describing the nature of the attribute under investigation, including how it
was measured and its units of measurement.
6.SP.B.5c Giving quantitative measures of center (median and/or mean) and
variability (interquartile range and/or mean absolute deviation), as well as describing
any overall pattern and any striking deviations from the overall pattern with reference
to the context in which the data were gathered.
6.SP.B.5d Summarize numerical data sets in relation to their context, such as by:
Relating the choice of measures of center and variability to the shape of the data
distribution and the context in which the data were gathered.
Looking Back
Looking Ahead
Grade 6
Grade 7
6.SP.A.1 Recognize a statistical
question as one that anticipates
variability in the data related to the
question and accounts for it in the
answers.
7.SP.B.3 Informally assess the degree of
visual overlap of two numerical data
distributions with similar variabilities,
measuring the difference between the centers
by expressing it as a multiple of a measure of
variability.
6.SP.B.5 Summarize numerical
data sets in relation to their context,
such as by:
6.SP.B.5a Reporting the number
of observations.
7.SP.B.4 Use measures of center and
measures of variability for numerical data from
random samples to draw informal comparative
inferences about two populations.
MATH BACKGROUND
In the previous topic, students learned to identify a center of a data set to describe a
“typical” value. Now, they put a name, median, to that value, and learn about another
measure of center, the mean. Since the median is based on the order of magnitude