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Mathematics Entry Points of Grade 7

Grade 7
Learning Standards as written Essential and Prioritized Skill
Number
Sense and
Operations
7NSO-N1 Compare, order, estimate, and translate among integers,
fractions, mixed numbers (i.e., rational numbers), decimals,
and percents.
♦ Compare, order, estimate and translate
integers, fractions, mixed numbers,
decimals, and percents.
Less Complex Possible Entry Points More Complex
The student will:

♦ Define integers, fractions,
mixed numbers, decimals and
percents.
♦ Classify integers, fractions,
mixed numbers, decimals and
percents.

The student will:

Using a number line:
♦ Order fractions and/or mixed numbers.
♦ Order integers
♦ Order decimals and/or percents

The student will:

♦ Compare and/or order integers,
fractions (mixed numbers) and decimals
♦ Compare and order percents and
decimals
♦ Estimate using fractions, decimals,
and/or percents
♦ Translate (convert) between decimals
and percents; decimals and fractions;
and/or fractions and percents

Grade 7
Learning Standards as written Essential and Prioritized Skill
Number
Sense and
Operations
7NSO-N7 Apply number theory concepts, including prime factorization and
relatively prime numbers, to the solution of problems (e.g., find the prime
factorization of whole numbers, and write the results using exponents:
24 = 2 x 2 x 2 x 3 = 23 x 3).
♦ Use prime or composite numbers,
factorization, greatest and least
common multiples, or divisibility rules
to solve problems.
Less Complex Possible Entry Points More Complex
The student will:

♦ Use models and/or
manipulatives to identify
factors of one and/or two-digit
numbers
♦ Identify prime numbers
♦ Sort objects into even groups

The student will:

♦ Use a model to identify factors of two-digit
numbers
♦ Convert from one number form to
another (expanded form to exponent
form to standard form.)
♦ List prime numbers up to 29

The student will:

♦ Complete a factorization tree for two or three-digit
numbers
♦ Use a model to illustrate prime factorization
♦ Determine which numbers are divisible by another
number (e.g., sort a group of 6 and a group of 8 by 3 to determine which is divisible by 3)

General Education Examples  
 
Grade 7
Learning Standards as written Essential and Prioritized Skills
Patterns,
Relations,
and Algebra
7PRA1 Extend, represent, analyze, and generalize a variety of patterns with tables,
graphs, words, and, when possible, symbolic expressions. Include arithmetic
and geometric progressions (e.g., compounding)
♦ Identify and extend a variety of
grade-level patterns
Less Complex Possible Entry Points More Complex
The student will:

♦ Identify sets as patterns or non-patterns
♦ Recognize the sequence of a pattern

The student will:

♦ Match a pattern to its mathematical expression
♦ Explain a geometrical pattern and an arithmetic
pattern

The student will:

♦ Extend a compounding pattern (e.g., 3, 5,
7, __)
♦ Translate and extend an arithmetic pattern
into a visual representation
♦ Translate and extend geometric pattern

General Education Example

 
Grade 7
Learning Standards as written Essential and Prioritized Skills
Patterns, Relations,
and Algebra
7PRA3 Use the correct order of operations to evaluate
expressions (e.g., 3(2x) = 5).
♦ Use order of operations to solve an equation
Less Complex Possible Entry Points More Complex
The student will:

♦ List the sequence of the order of
operations
♦ Identify the operations (e.g. 3(2) = 3 ยท 2
this means multiplication)

The student will:

♦ Solve a simple equation involving two or
three operations
♦ Identify the correct order of operations for a
given expression

The student will:

♦ Use order of operations to solve an equation
♦ Use task analysis to follow order of
operations and solve an equation

General Education Example  
Grade 7
Learning Standards as written Essential and Prioritized Skills
Patterns,
Relations,
and Algebra
7PRA4 Create and use symbolic expressions for linear
relationships, and relate them to verbal and graphical
representations.
♦ Use symbolic expressions for linear relationships
and relate them to graphic or verbal expressions.
Less Complex Possible Entry Points More Complex
The student will:

♦ Identify numbers in an
ordered pair (x, y)
♦ Graph a point

The student will:

♦ Given verbal data represent the data in a
table, as a graph, or as an equation.
♦ Interpret (explain) the graph

The student will:

♦ Graph a set of ordered pairs
♦ Use manipulative to show data on a graph
♦ Use information in a T-table to create a graph