GLCE's
7th
Grade
Math
-
- NUMBER
AND OPERATIONS Understand derived
quantities
- N.ME.07.01
Understand
derived quantities such as density, velocity, and weighted averages.
- N.FL.07.02
Solve
problems involving derived quantities.
-
-
- Understand
and solve problems involving rates, ratios, and proportions
- N.FL.07.03
Calculate
rates of change including speed.
- N.MR.07.04
Convert
ratio quantities between different systems of units such as feet per
- second
to miles per hour.
- N.FL.07.05
Solve
simple proportion problems using such methods as unit rate, scaling, finding
- equivalent
fractions, and solving the proportion equation a/b = c/d; know how to see
patterns
- about
proportional situations in tables.
-
-
- Recognize
irrational numbers
- N.MR.07.06
Understand
the concept of square root and cube root, and estimate using calculators.
-
-
- Compute
with rational numbers
- N.FL.07.07
Solve
problems involving operations with integers.
- N.FL.07.08
Add,
subtract, multiply and divide negative rational numbers.
- N.FL.07.09
Estimate
results of computations with rational numbers.
-
-
- ALGEBRA
Understand and apply directly proportional
relationships and
- relate
to linear relationships
- A.PA.07.01
Recognize
when information given in a table, graph, or formula suggests a proportional
or linear relationship.
- A.RP.07.02
Represent
directly proportional and linear relationships using verbal descriptions,
tables, graphs, and formulas, and translate among these representations.
- A.PA.07.03
Given a
directly proportional or linear situation, graph and interpret the slope
- and
intercept(s) in terms of the original situation; evaluate y = kx for
specific x values, given k,
- e.g.,
weight vs. volume of water, base cost plus cost per unit.
- A.PA.07.04
For
directly proportional or linear situations, solve applied problems using
graphs
- and
equations, e.g., the heights and volume of a container with uniform
cross-section, height of
- water
in a tank being filled at a constant rate, degrees Celsius and degrees
Fahrenheit, distance
- and
time under constant speed.
- A.PA.07.05
Understand
and use directly proportional relationships of the form y = mx, and
- distinguish
from linear relationships of the form y = mx + b, b non-zero; understand
that in a
- directly
proportional relationship between two quantities one quantity is a constant
multiple
- of
the other quantity.
-
-
- Understand
and represent linear functions
- A.PA.07.06
Calculate
the slope from the graph of a linear function as the ratio of “rise/run”
- for
a pair of points on the graph, and express the answer as a fraction and a
decimal; understand
- that
linear functions have slope that is a constant rate of change.
- A.PA.07.07
Represent
linear functions in the form y = x + b, y = mx, and y = mx + b, and
- graph,
interpreting slope and y-intercept.
- A.FO.07.08
Know that
the solution to a linear equation corresponds to the point at which
- its
graph crosses the x-axis.
-
-
- Understand
and solve problems about inversely proportional relationships
- A.PA.07.09
Recognize
inversely proportional relationships in contextual situations; know that
- quantities
are inversely proportional if their product is constant, e.g., the length
and
- width
of a rectangle with fixed area, and that an inversely proportional
relationship is
- of
the form y = k/x where k is some non-zero number.
- A.RP.07.10
Know that
the graph of y = k/x is not a line; know its shape; and know that it
- crosses
neither the x nor the y-axis.
-
-
- Apply
basic properties of real numbers in algebraic contexts
- A.PA.07.11
Understand
and use basic properties of real numbers: additive and multiplicative
- identities,
additive and multiplicative inverses, commutativity, associativity, and the
distributive
- property
of multiplication over addition.
-
-
- Combine
algebraic expressions and solve equations
- A.FO.07.12
Add,
subtract, and multiply simple algebraic expressions of the first degree,
e.g.,
- (92x
+ 8y) – 5x + y, or – 2x (5x – 4), and justify using properties of real
numbers.
- A.FO.07.13
From
applied situations, generate and solve linear equations of the form ax + b =
c and ax + b = cx + d, and interpret solutions.
-
-
- GEOMETRY
Draw and construct geometric objects
- G.SR.07.01
Use a
ruler and other tools to draw squares, rectangles, triangles and
parallelograms
- with
specified dimensions.
- G.SR.07.02
Use
compass and straightedge to perform basic geometric constructions: the
- perpendicular
bisector of a segment, an equilateral triangle, and the bisector of an
angle;
- understand
informal justifications.
-
-
- Understand
the concept of similar polygons, and solve related problems
- G.TR.07.03
Understand
that in similar polygons, corresponding angles are congruent and the
- ratios
of corresponding sides are equal; understand the concepts of similar figures
and scale factor.
- G.TR.07.04
Solve
problems about similar figures and scale drawings.
- G.TR.07.05
Show that
two triangles are similar using the criteria: corresponding angles are
- congruent
(AAA similarity); the ratios of two pairs of corresponding sides are equal
and the
- included
angles are congruent (SAS similarity); ratios of all pairs of corresponding
sides are
- equal
(SSS similarity); use these criteria to solve problems and to justify
arguments.
- G.TR.07.06
Understand
and use the fact that when two triangles are similar with scale factor
- of
r, their areas are related by a factor of r2.
-
-
- Data
and Probability
Represent data and interpret
- D.RE.07.01
Represent
and interpret data using circle graphs, stem and leaf plots, histograms,
- and
box-and-whisker plots, and select appropriate representation to address
specific questions.
- D.AN.07.02
Create and
interpret scatter plots and find line of best fit and use an estimated
- line
of best fit to answer questions about the data.
-
-
- Compute
statistics about datasets
- D.AN.07.03
Calculate
and interpret relative frequencies and cumulative frequencies for given
- data
sets.
- D.AN.07.04
Find and
interpret the median, quartiles, and interquartile range of a given set of
- data.