Edits
•
Correct common errors in spelling, punctuation,
grammar, and capitalization
•
Use dictionaries, thesauruses, technology, and
other available references
•
Make appropriate editing changes
independently
•
Understand and use proofreading marks
Publishing
•
Determine a plan for improvement after
receiving feedback on published work
•
Create a writing portfolio reflective of various
written works
Evaluating/Analyzing Self
•
Read and discuss own work
•
See self as a writer
•
Use the seven-traits to reflect on and improve
writing
•
Assess progress and set writing goals for own
writing
•
See writing as an ongoing process
Evaluating/Analyzing Others
•
Use the seven-traits model as criteria to assess
writing
•
Offer specific constructive feedback to others
based on the seven-traits model of writing
•
Review writing of authors to analyze effective
writing
•
Reflect on writing of other authors to improve
own writing
•
Articulate the qualities that make a piece of
writing effective
•
Listen while others share
MATH
Operations and Algebraic Thinking
•
Understand the meaning of the absolute value
of a number
•
Explore relationships between symbolic
expressions and graphs of lines
Ratios and Proportional Relationships
Analyze proportional relationships and use them
to solve real-world and mathematical problems
•
Compute unit rates associated with ratios of
fractions, including ratios of lengths, areas and
other quantities measured in like or different
units
•
Recognize and represent proportional
relationships between quantities
•
Decide whether two quantities are in a
proportional relationship
•
Identify the constant of proportionality in
tables, graphs, equations, diagrams, and verbal
descriptions of proportional relationships
•
Represent proportional relationships by
equations
•
Explain what a point (x, y) on the graph of a
proportional relationship means in terms of the
situation, with special attention to the points (0,
0) and (1, r) where r is the unit rate
•
Use proportional relationships to solve multistep
ratio and percent problems; examples: simple
interest, tax, markups and markdowns, gratuities
and commissions, fees, percent increase and
decrease, percent error
The Number System
Apply and extend previous understandings of
operations with fractions
•
Apply and extend previous understandings of
addition and subtraction to add and subtract
rational numbers; represent addition and
subtraction on a horizontal or vertical number
line diagram
•
Describe situations in which opposite quantities
combine to make 0
•
Understand p + q as the number located a
distance |q| from p, in the positive or negative
direction depending on whether q is positive or
negative. Show that a number and its opposite
have a sum of 0. Interpret sums of rational
numbers by describing real-world contexts
•
Understand subtraction of rational numbers as
adding the additive inverse, p – q = p + (–q)
Show that the distance between two rational
numbers on the number line is the absolute
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Seventh Grade
value of their difference, and apply this principle
in real-world contexts
•
Apply properties of operations as strategies to
add and subtract rational numbers
•
Apply and extend previous understandings of
multiplication and division and of fractions to
multiply and divide rational numbers
•
Understand that multiplication is extended from
fractions to rational numbers by requiring that
operations continue to satisfy the properties of
operations, particularly the distributive property,
leading to products such as (–1)(–1) = 1 and the
rules for multiplying signed numbers
•
Interpret products of rational numbers by
describing real-world contexts
•
Understand that integers can be divided,
provided that the divisor is not zero, and every
quotient of integers is a rational number. If p
and q are integers, then –(p/q) = (–p)/q = p/
(–q) Interpret quotients of rational numbers by
describing real-world contexts
•
Apply properties of operations as strategies to
multiply and divide rational numbers
•
Convert a rational number to a decimal using
long division; know that the decimal form of a
rational number terminates in 0s or eventually
repeats
•
Apply properties of operations as strategies to
multiply and divide rational numbers
•
Convert a rational number to a decimal using
long division; know that the decimal form of a
rational number terminates in 0s or eventually
repeats
•
Solve real-world and mathematical problems
involving the four operations with rational
numbers
Measurement and Data
•
Select, create and use appropriate graphical
representations including line graphs, bar
graphs, histograms, stem and leaf plots and line
plots
•
Solve problems including time, rate, average
speed and distance
Expressions and Equations
Use properties of operations to generate
equivalent expressions
•
Apply properties of operations as strategies
to add, subtract, factor, and expand linear
expressions with rational coefficients
•
Understand that rewriting an expression in
different forms in a problem context can shed
light on the problem and how the quantities in
it are related
•
Understand and use exponents, powers, and
roots to solve problems
•
Use computer spreadsheets to analyze data and
create graphs
•
Solve real-life and mathematical problems
using numerical and algebraic expressions and
equations
•
Solve multi-step real-life and mathematical
problems posed with positive and negative
rational numbers in any form using tools
strategically; apply properties of operations to
calculate with numbers in any form; convert
between forms as appropriate; assess the
reasonableness of answers using mental
computation and estimation strategies
•
Use variables to represent quantities in a real-
world or mathematical problem, and construct
simple equations and inequalities to solve
problems by reasoning about the quantities
•
Solve word problems leading to equations of
the form px + q = r and p(x + q) = r, where p,
q, and r are specific rational numbers; solve
equations of these forms fluently; compare an
algebraic solution to an arithmetic solution,
identifying the sequence of the operations used
in each approach
•
Solve word problems leading to inequalities of
the form px + q > r or px + q < r, where p, q,
and r are specific rational numbers; graph the
solution set of the inequality and interpret it in
the context of the problem
Geometry
Draw, construct, and describe geometrical figures
and describe the relationships between them
•
Solve problems involving scale drawings of
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Nobel Learning Curriculum Reference Guide
