Scholastic Fraction Nation
correlated to the
Common Core State Standards for Mathematics:
Grades 4 - 8
2010
TM & © Scholastic Inc. All rights reserved.
SCHOLASTIC, Fraction Nation, and associated logos are trademarks and/or
registered trademarks of Scholastic Inc.
Scholastic Fraction Nation Correlated to the Common Core State Standards for Math
Grade 4
Common Core State Standards
for Math
Number—Operations and the
Problems They Solve
Problem solving with the four
operations
3. Solve problems posed with both
whole numbers and fractions.
Understand that while quantities in
a problem might be described with
whole numbers, fractions, or
decimals, the operations used to
solve the problem depend on the
relationships between the
quantities regardless of which
number representations are
involved.
4. Assess the reasonableness of
answers using mental computation
and estimation strategies including
rounding to the nearest 10 or 100.
Number—Fractions
Operations on fractions
1. Understand addition of fractions:
a. Adding or subtracting fractions
with the same denominator means
adding or subtracting copies of unit
fractions. For example, 2/3 + 4/3 is
2 copies of 1/3 plus 4 copies of
1/3, or 6 copies of 1/3 in all, that is
6/3.
b. Sums of related fractions can be
computed by replacing one with an
Fraction Nation
Lesson 53: Use a number line to add and subtract fractions.
Demonstrate addition and subtraction of fractions on a number line
(same denominator).
Lesson 54: Add and subtract fractions with the same
denominator.
Add and subtract fractions and locate the sum and difference on a
number line (same denominator).
Lesson 55: Add mixed numbers with the same denominator.
Add mixed numbers and locate the sum on a number line (same
denominator).
Lesson 56: Subtract mixed numbers with the same denominator.
Subtract mixed numbers and locate the difference on a number
line (same denominator).
Lesson 57: Add and subtract decimals with similar place value.
Add and subtract decimals with similar place value precision and
locate the sum and difference on a number line.
Lesson 59: Find common denominators.
Name the least common denominator of a pair of fractions.
Lesson 60: Add fractions with different denominators.
Add fractions and locate the sum on a number line (unlike
denominators).
Lesson 61: Subtract fractions with different denominators.
Subtract fractions and locate the difference on a number line
(unlike denominators).
Lesson 62: Add mixed numbers with different denominators.
Add mixed numbers and locate the sum on a number line (unlike
denominators).
Lesson 63: Subtract mixed numbers with different denominators.
Subtract mixed numbers and locate the difference on a number
line (unlike denominators).
Lesson 64: Add and subtract decimals with different place value.
Add and subtract decimals with unlike place values and locate the
sum and difference on a number line.
Lesson 58: Estimate sums and differences of fractions with
different denominators.
Estimate sums and differences of fractions by locating the
estimate on a number line (unlike denominators).
Lesson 53: Use a number line to add and subtract fractions.
Demonstrate addition and subtraction of fractions on a number line
(same denominator).
Lesson 54: Add and subtract fractions with the same
denominator.
Add and subtract fractions and locate the sum and difference on a
number line (same denominator).
Lesson 59: Find common denominators.
Name the least common denominator of a pair of fractions.
Lesson 60: Add fractions with different denominators.
Common Core State Standards and Fraction Nation/Page 1
June 2010
Scholastic Fraction Nation Correlated to the Common Core State Standards for Math
Grade 4
Common Core State Standards
for Math
equivalent fraction that has the
same denominator as the other.
For example, the sum of the
related fractions 2/3 and 1/6 can
be computed by rewriting 2/3 as
4/6 and computing 4/6 + 1/6 = 5/6.
2. Compute sums and differences
of fractions with like denominators,
add and subtract related fractions
within 1 (e.g., 1/2 + 1/4, 3/10 +
4/100, 7/8 – 1/4), and solve word
problems involving these
operations.
3. Understand that the meaning of
multiplying a fraction by a whole
number comes from interpreting
multiplication by a whole number
as repeated addition. For example,
3 x 2/5 = 6/5 because 3 x 2/5 = 2/5
+ 2/5 + 2/5 = 6/5.
Decimal concepts
7. Understand that a two-digit
decimal is a sum of fractions with
denominators 10 and 100. For
example, 0.34 is 3/10 + 4/100.
8. Use decimals to hundredths to
describe parts of wholes; compare
and order decimals to hundredths
based on meanings of the digits;
and write fractions of the form a/10
or a/100 in decimal notation. Use >
and < symbols to record the results
of comparisons.
Fraction Nation
Add fractions and locate the sum on a number line (unlike
denominators).
Lesson 53: Use a number line to add and subtract fractions.
Demonstrate addition and subtraction of fractions on a number line
(same denominator).
Lesson 54: Add and subtract fractions with the same
denominator.
Add and subtract fractions and locate the sum and difference on a
number line (same denominator).
Lesson 40: Name equivalent fractions by multiplication.
Identify equivalent fractions by using the multiplicative identity.
Lesson 21: Introduction to decimal numbers.
Express a fraction less than one as a decimal by using a whole
divided into equal parts (tenths).
Lesson 22: Identify decimal tenths.
Express a fraction greater than one as a decimal by using a whole
divided into equal parts (tenths).
Lesson 24: Identify decimal hundredths.
Express a fraction as a decimal by using a whole divided into
equal parts (hundredths).
Lesson 26: Estimate decimal numbers.
Estimate decimal magnitude using whole-number benchmarks (up
to 10).
Lesson 47: Introduction to equivalent decimals.
Express equivalent decimals to the thousandths place value.
Lesson 48: Use place value to name equivalent decimals.
Express equivalent decimals using expanded forms of place value.
Lesson 51: Express fractions as equivalent decimals.
Express fractions as equivalent decimals by using denominators of
10 and 100.
Lesson 52: Express fractions as equivalent decimals through
division.
Express fractions as equivalent decimals by representing fractions
as a division expression.
Lesson 21: Introduction to decimal numbers.
Express a fraction less than one as a decimal by using a whole
divided into equal parts (tenths).
Lesson 22: Identify decimal tenths.
Express a fraction greater than one as a decimal by using a whole
divided into equal parts (tenths).
Lesson 23: Compare unit fractions to decimals.
Compare a pair of numbers, one of which is a unit fraction and one
of which is a decimal, and identify the greater fraction.
Common Core State Standards and Fraction Nation/Page 2
June 2010
Scholastic Fraction Nation Correlated to the Common Core State Standards for Math
Grade 4
Common Core State Standards
for Math
Fraction Nation
Lesson 24: Identify decimal hundredths.
Express a fraction as a decimal by using a whole divided into
equal parts (hundredths).
Lesson 25: Identify decimals as part of an area.
Identify a decimal less than or greater than 1, using the area of a
square (tenths, hundredths).
Lesson 27: Compare decimal numbers.
Compare decimal tenths and decimal hundredths and identify the
greater fraction.
Lesson 49: Name a decimal between two numbers.
Use equivalence to identify a decimal between two decimals.
Lesson 50: Compare decimals by using equivalence.
Compare decimals by using place value.
Lesson 51: Express fractions as equivalent decimals.
Express fractions as equivalent decimals by using denominators of
10 and 100.
Lesson 52: Express fractions as equivalent decimals through
division.
Express fractions as equivalent decimals by representing fractions
as a division expression.
Measurement and Data
The number line and units of
measure
1. Understand that the unit length
on a number line (interval from 0 to
1) can be divided into parts of
equal fractional length. Draw
number line representations of
problem situations involving length,
height, and distance including
fractional or decimal units. For
example, show distances along a
race course to tenths of a mile on a
number line, by dividing the unit
length into 10 equal parts to get
parts of length 1/10; the endpoint
of the segment of 1/10 length from
0 represents 1/10 of a mile from
the starting point of the race. In
Grade 4, all numbers lines begin
with zero.
Lesson 16: Introduction to number lines.
Locate the position of whole numbers on number lines with various
features (start and end points, tick marks, labels).
Lesson 17: Use a number line with fractions.
Locate the position of proper and improper fractions on number
lines with various features (start and end points, tick marks,
labels).
Common Core State Standards and Fraction Nation/Page 3
June 2010
Scholastic Fraction Nation to the Common Core State Standards for Math
Grade 5
Common Core State Standards
for Math
Number—Base Ten
Decimal concepts
5. Read, write, and compare
numbers expressed as decimals.
Understand that a digit in one
place represents ten times what it
represents in the place to its right.
For example, 7 in the hundredths
place represents 10 times as many
as 7 in the thousandths place.
6. Round decimals (to hundredths)
to the nearest whole number.
7. Write fractions in decimal
notation for fractions with
denominators 2, 4, 5, 8, 10, and
100.
Operations on decimals
8. Understand that in adding or
subtracting finite decimals, one
adds or subtracts like units (tenths
and tenths, hundredths and
hundredths, etc.) and sometimes it
is necessary to compose or
decompose a higher value unit.
9. Fluently find 0.1 more than a
number and less than a number;
0.01 more than a number and less
than a number; and 0.001 more
than a number and less than a
number, for numbers expressed as
finite decimals.
11. Compute sums, differences,
products, and quotients of finite
decimals using strategies based on
Fraction Nation
Lesson 21: Introduction to decimal numbers.
Express a fraction less than one as a decimal by using a whole
divided into equal parts (tenths).
Lesson 22: Identify decimal tenths.
Express a fraction greater than one as a decimal by using a whole
divided into equal parts (tenths).
Lesson 24: Identify decimal hundredths.
Express a fraction as a decimal by using a whole divided into
equal parts (hundredths).
Lesson 27: Compare decimal numbers.
Compare decimal tenths and decimal hundredths and identify the
greater fraction.
Lesson 47: Introduction to equivalent decimals.
Express equivalent decimals to the thousandths place value.
Lesson 48: Use place value to name equivalent decimals.
Express equivalent decimals using expanded forms of place value.
Lesson 49: Name a decimal between two numbers.
Use equivalence to identify a decimal between two decimals.
Lesson 50: Compare decimals by using equivalence.
Compare decimals by using place value.
Lesson 26: Estimate decimal numbers.
Estimate decimal magnitude using whole-number benchmarks (up
to 10).
Lesson 23: Compare unit fractions to decimals.
Compare a pair of numbers, one of which is a unit fraction and one
of which is a decimal, and identify the greater fraction.
Lesson 51: Express fractions as equivalent decimals.
Express fractions as equivalent decimals by using denominators of
10 and 100.
Lesson 52: Express fractions as equivalent decimals through
division.
Express fractions as equivalent decimals by representing fractions
as a division expression.
Lesson 57: Add and subtract decimals with similar place value.
Add and subtract decimals with similar place value precision and
locate the sum and difference on a number line.
Lesson 64: Add and subtract decimals with different place value.
Add and subtract decimals with unlike place values and locate the
sum and difference on a number line.
Lesson 57: Add and subtract decimals with similar place value.
Add and subtract decimals with similar place value precision and
locate the sum and difference on a number line.
Lesson 64: Add and subtract decimals with different place value.
Add and subtract decimals with unlike place values and locate the
sum and difference on a number line.
Lesson 57: Add and subtract decimals with similar place value.
Add and subtract decimals with similar place value precision and
locate the sum and difference on a number line.
Common Core State Standards and Fraction Nation/Page 1
June 2010
Scholastic Fraction Nation to the Common Core State Standards for Math
Grade 5
Common Core State Standards
for Math
place value, the properties of
operations, and/or the inverse
relationships between addition and
subtraction and between
multiplication and division; explain
the reasoning used. For example,
transform 1.5 ÷ 0.3 into 15 ÷ 3 = 5.
12. Explain why strategies and
algorithms for computations with
finite decimals work. Include
explanations supported by
drawings, equations, or both. A
range of reasonably efficient
algorithms may be covered, not
only the standard algorithm.
13. Use the standard algorithm for
each of the four operations on
decimals (to hundredths).
Number—Fractions
Fraction equivalence
1. Understand fraction
equivalence:
a. Multiplying the numerator and
denominator of a fraction by the
same nonzero whole number
produces an equivalent fraction.
For example, 2/3 = (2 x 4)/(3 x 4) =
8/12. (1/3 is 4 copies of 1/12, so
2/3 is 8 copies of 1/12.)
b. Equivalent fractions correspond
to the same point on a number
line. In Grade 5, all numbers lines
begin with zero.
c. When the numerators of
equivalent fractions are ÷ their
denominators, the resulting
quotients are the same.
Fraction Nation
Lesson 64: Add and subtract decimals with different place value.
Add and subtract decimals with unlike place values and locate the
sum and difference on a number line.
Lesson 57: Add and subtract decimals with similar place value.
Add and subtract decimals with similar place value precision and
locate the sum and difference on a number line.
Lesson 64: Add and subtract decimals with different place value.
Add and subtract decimals with unlike place values and locate the
sum and difference on a number line.
Lesson 57: Add and subtract decimals with similar place value.
Add and subtract decimals with similar place value precision and
locate the sum and difference on a number line.
Lesson 64: Add and subtract decimals with different place value.
Add and subtract decimals with unlike place values and locate the
sum and difference on a number line.
Lesson 28: Express whole numbers as equivalent fractions.
Express whole numbers (up to 10) as equivalent fractions.
Lesson 29: Express fractions as equivalent whole numbers.
Express fractions as equivalent whole numbers (up to 10).
Lesson 32: Express mixed numbers as equivalent fractions.
Express mixed numbers (up to 10) as equivalent improper
fractions.
Lesson 33: Express fractions as equivalent mixed numbers.
Express improper fractions as equivalent mixed numbers (up to
10).
Lesson 34: Name equivalent fractions for ½.
Name fractions that are equivalent to ½.
Lesson 35: Name equivalent fractions for unit fractions.
Name fractions equivalent to unit fractions with denominators up to
24.
Lesson 36: Name more equivalent fractions.
Name equivalent fractions with denominators up to 24.
Lesson 37: Identify equivalent fractions of an area.
Identify equivalent fractions for fractions represented by the area
of a circle and a rectangle.
Lesson 38: Identify equivalent fractions of a set.
Identify equivalent fractions for unit fractions represented by a set
divided into equal parts.
Lesson 39: Identify more equivalent fractions of a set.
Identify equivalent fractions for proper fractions represented by a
set divided into equal parts.
Lesson 40: Name equivalent fractions by multiplication.
Identify equivalent fractions by using the multiplicative identity.
Lesson 44: Determine if fractions are equivalent.
Express fractions with common denominators to determine
equivalence.
Common Core State Standards and Fraction Nation/Page 2
June 2010
Scholastic Fraction Nation to the Common Core State Standards for Math
Grade 5
Common Core State Standards
for Math
2. Identify pairs of equivalent
fractions; given two fractions with
unlike denominators, find two
fractions with the same
denominator and equivalent to
each.
3. Compare and order fractions
with like or unlike denominators,
e.g., by finding equivalent fractions
with the same denominator, and
describe the sizes of fractional
quantities from a context with
reference to the context. Compare
using the fractions themselves,
tape diagrams or number line
representations, and area models.
Operations on fractions
4. Understand that sums and
differences of fractions with unlike
denominators can be computed by
replacing each with an equivalent
fraction so that the resulting
fractions have the same
denominator. For example, 2/3 +
5/4 = 8/12 + 15/12 = 23/12.
5. Compute sums and differences
of fractions with like or unlike
denominators, and solve word
problems involving addition and
subtraction of fractions. Estimate
fraction sums and differences to
assess the reasonableness of
results.
Fraction Nation
Lesson 31: Compare fractions by using equivalence.
Compare improper fractions by using equivalence to identify
whole-number benchmarks.
Lesson 40: Name equivalent fractions by multiplication.
Identify equivalent fractions by using the multiplicative identity.
Lesson 44: Determine if fractions are equivalent.
Express fractions with common denominators to determine
equivalence.
Lesson 45: Compare fractions by using equivalence.
Compare fractions by using equivalence to express fractions with
a common denominator.
Lesson 4: Compare unit fractions.
Compare unit fractions and identify the greater fraction.
Lesson 10: Compare fractions with the same denominator.
Compare fractions with the same denominator and identify the
greater fraction.
Lesson 11: Compare fractions with the same numerator.
Compare fractions with the same numerator and identify the
greater fraction.
Lesson 31: Compare fractions by using equivalence.
Compare improper fractions by using equivalence to identify
whole-number benchmarks.
Lesson 45: Compare fractions by using equivalence.
Compare fractions by using equivalence to express fractions with
a common denominator.
Lesson 46: Name a fraction between two other fractions.
Identify a fraction between two fractions with like denominators by
using equivalent forms of the two fractions.
Lesson 59: Find common denominators.
Name the least common denominator of a pair of fractions.
Lesson 60: Add fractions with different denominators.
Add fractions and locate the sum on a number line (unlike
denominators).
Lesson 61: Subtract fractions with different denominators.
Subtract fractions and locate the difference on a number line
(unlike denominators).
Lesson 62: Add mixed numbers with different denominators.
Add mixed numbers and locate the sum on a number line (unlike
denominators).
Lesson 63: Subtract mixed numbers with different denominators.
Subtract mixed numbers and locate the difference on a number
line (unlike denominators).
Lesson 53: Use a number line to add and subtract fractions.
Demonstrate addition and subtraction of fractions on a number line
(same denominator).
Lesson 54: Add and subtract fractions with the same
denominator.
Add and subtract fractions and locate the sum and difference on a
number line (same denominator).
Lesson 55: Add mixed numbers with the same denominator.
Add mixed numbers and locate the sum on a number line (same
denominator).
Lesson 56: Subtract mixed numbers with the same denominator.
Common Core State Standards and Fraction Nation/Page 3
June 2010
Scholastic Fraction Nation to the Common Core State Standards for Math
Grade 5
Common Core State Standards
for Math
6. Understand that multiplying a
fraction by a/b means taking a
parts of a decomposition of the
fraction into b equal parts. For
example, to multiply 2/3 x 4/5 =
8/15, one may decompose a whole
of size 4/5 into 3 equal parts; each
part has size 4/15. Two of these
parts then make 8/15, so 2/3 x 4/5
= 8/15. (In general, a/b xp/q =
ap/bq.) This standard includes
multiplication of a whole number by
a fraction, by writing the whole
number as fraction with
denominator 1.
8. Explain and justify the properties
of operations with fractions, e.g.,
by using equations, number line
representations, area models, and
story contexts.
Fraction Nation
Subtract mixed numbers and locate the difference on a number
line (same denominator).
Lesson 57: Add and subtract decimals with similar place value.
Add and subtract decimals with similar place value precision and
locate the sum and difference on a number line.
Lesson 58: Estimate sums and differences of fractions with
different denominators.
Estimate sums and differences of fractions by locating the
estimate on a number line (unlike denominators).
Lesson 59: Find common denominators.
Name the least common denominator of a pair of fractions.
Lesson 60: Add fractions with different denominators.
Add fractions and locate the sum on a number line (unlike
denominators).
Lesson 61: Subtract fractions with different denominators.
Subtract fractions and locate the difference on a number line
(unlike denominators).
Lesson 62: Add mixed numbers with different denominators.
Add mixed numbers and locate the sum on a number line (unlike
denominators).
Lesson 63: Subtract mixed numbers with different denominators.
Subtract mixed numbers and locate the difference on a number
line (unlike denominators).
Lesson 64: Add and subtract decimals with different place value.
Add and subtract decimals with unlike place values and locate the
sum and difference on a number line.
Lesson 40: Name equivalent fractions by multiplication.
Identify equivalent fractions by using the multiplicative identity.
Lesson 53: Use a number line to add and subtract fractions.
Demonstrate addition and subtraction of fractions on a number line
(same denominator).
Lesson 54: Add and subtract fractions with the same
denominator.
Add and subtract fractions and locate the sum and difference on a
number line (same denominator).
Lesson 55: Add mixed numbers with the same denominator.
Add mixed numbers and locate the sum on a number line (same
denominator).
Lesson 56: Subtract mixed numbers with the same denominator.
Subtract mixed numbers and locate the difference on a number
line (same denominator).
Common Core State Standards and Fraction Nation/Page 4
June 2010
Scholastic Fraction Nation to the Common Core State Standards for Math
Grade 5
Common Core State Standards
for Math
11. Understand that a mixed
number such as 3 2/5 represents
the sum of a whole number and a
fraction less than one. Because a
whole number can be represented
as a fraction (3 = 3/1), and the sum
of two fractions is also a fraction, a
mixed number also represents a
fraction (3 2/5 = 3 + 2/5 = 15/5 +
2/5 = 17/5). Write fractions as
equivalent mixed numbers and
vice versa.
Fraction Nation
Lesson 58: Estimate sums and differences of fractions with
different denominators.
Estimate sums and differences of fractions by locating the
estimate on a number line (unlike denominators).
Lesson 59: Find common denominators.
Name the least common denominator of a pair of fractions.
Lesson 60: Add fractions with different denominators.
Add fractions and locate the sum on a number line (unlike
denominators).
Lesson 61: Subtract fractions with different denominators.
Subtract fractions and locate the difference on a number line
(unlike denominators).
Lesson 62: Add mixed numbers with different denominators.
Add mixed numbers and locate the sum on a number line (unlike
denominators).
Lesson 63: Subtract mixed numbers with different denominators.
Subtract mixed numbers and locate the difference on a number
line (unlike denominators).
Lesson 30: Estimate improper fractions using whole numbers.
Estimate improper-fraction magnitude using whole-number
benchmarks (up to 10).
Lesson 31: Compare fractions by using equivalence.
Compare improper fractions by using equivalence to identify
whole-number benchmarks.
Lesson 32: Express mixed numbers as equivalent fractions.
Express mixed numbers (up to 10) as equivalent improper
fractions.
Lesson 33: Express fractions as equivalent mixed numbers.
Express improper fractions as equivalent mixed numbers (up to
10).
Common Core State Standards and Fraction Nation/Page 5
June 2010
Scholastic Fraction Nation Correlated to the Common Core State Standards for Math
Grade 6
Common Core State Standards
for Math
The Number System
The system of rational numbers
5. Understand that a number is a
point on the number line.
8. Find and position rational
numbers, including integers, on a
number line.
Fraction Nation
Lesson 16: Introduction to number lines.
Locate the position of whole numbers on number lines with various
features (start and end points, tick marks, labels).
Lesson 17: Use a number line with fractions.
Locate the position of proper and improper fractions on number
lines with various features (start and end points, tick marks,
labels).
Lesson 16: Introduction to number lines.
Locate the position of whole numbers on number lines with various
features (start and end points, tick marks, labels).
Lesson 17: Use a number line with fractions.
Locate the position of proper and improper fractions on number
lines with various features (start and end points, tick marks,
labels).
Lesson 21: Introduction to decimal numbers.
Express a fraction less than one as a decimal by using a whole
divided into equal parts (tenths).
Lesson 23: Compare unit fractions to decimals.
Compare a pair of numbers, one of which is a unit fraction and one
of which is a decimal, and identify the greater fraction.
Common Core State Standards and Fraction Nation/Page 1
June 2010
Scholastic Fraction Nation Correlated to the Common Core State Standards for Math
Grade 7
Common Core State Standards
for Math
The Number System
The system of rational numbers
2. Understand and perform
addition and subtraction with
rational numbers:
a. Understand that on a number
line, the sum p + q is the number
located a distance |q| from p, to the
right of p if q is positive and to the
left of p if q is negative. A number
and its opposite are additive
inverses (i.e., their sum is zero).
b. Compute sums of signed
numbers using the laws of
arithmetic. For example, 7 + (–3) =
4 because 7 + (–3) = (4 + 3) + (–3)
= 4 + [3 + (–3)] = 4 + [0] = 4.
c. Understand that subtraction of
rational numbers is defined by
viewing a difference as the solution
of an unknown-addend addition
problem. Subtraction of a rational
number gives the same answer as
adding its additive inverse.
d. Explain and justify rules for
adding and subtracting rational
numbers, using a number line and
practical contexts. For example,
relate r + (–s) = r – s to a bank
transaction; explain why p – (q + r)
= p – q – r.
e. Understand that the additive
inverse of a sum is the sum of the
additive inverses, that is –(p + q) =
–p + –q. For example, –(6 + –2) =
(–6) + 2 because [6 + (–2)] + [(–6)
+ 2] = [6 + (–6)] + [ (–2) + 2] = [0] +
[0] = 0.
Fraction Nation
Lesson 53: Use a number line to add and subtract fractions.
Demonstrate addition and subtraction of fractions on a number line
(same denominator).
Lesson 54: Add and subtract fractions with the same
denominator.
Add and subtract fractions and locate the sum and difference on a
number line (same denominator).
Lesson 55: Add mixed numbers with the same denominator.
Add mixed numbers and locate the sum on a number line (same
denominator).
Lesson 56: Subtract mixed numbers with the same denominator.
Subtract mixed numbers and locate the difference on a number
line (same denominator).
Lesson 57: Add and subtract decimals with similar place value.
Add and subtract decimals with similar place value precision and
locate the sum and difference on a number line.
Lesson 58: Estimate sums and differences of fractions with
different denominators.
Estimate sums and differences of fractions by locating the
estimate on a number line (unlike denominators).
Lesson 59: Find common denominators.
Name the least common denominator of a pair of fractions.
Lesson 60: Add fractions with different denominators.
Add fractions and locate the sum on a number line (unlike
denominators).
Lesson 61: Subtract fractions with different denominators.
Subtract fractions and locate the difference on a number line
(unlike denominators).
Lesson 62: Add mixed numbers with different denominators.
Add mixed numbers and locate the sum on a number line (unlike
denominators).
Lesson 63: Subtract mixed numbers with different denominators.
Subtract mixed numbers and locate the difference on a number
line (unlike denominators).
Lesson 64: Add and subtract decimals with different place value.
Add and subtract decimals with unlike place values and locate the
sum and difference on a number line.
Common Core State Standards and Fraction Nation/Page 1
June 2010
Scholastic Fraction Nation Correlated to the Common Core State Standards for Math
Grade 8
Common Core State Standards
for Math
The Number System
The system of real numbers
1. Understand informally that every
number on a number line has a
decimal expansion, which can be
found for rational numbers using
long division. Rational numbers are
those with repeating decimal
expansions (this includes finite
decimals which have an expansion
that ends in a sequence of zeros).
Fraction Nation
Lesson 21: Introduction to decimal numbers.
Express a fraction less than one as a decimal by using a whole
divided into equal parts (tenths).
Lesson 22: Identify decimal tenths.
Express a fraction greater than one as a decimal by using a whole
divided into equal parts (tenths).
Lesson 23: Compare unit fractions to decimals.
Compare a pair of numbers, one of which is a unit fraction and one
of which is a decimal, and identify the greater fraction
Lesson 24: Identify decimal hundredths.
Express a fraction as a decimal by using a whole divided into
equal parts (hundredths).
Lesson 47: Introduction to equivalent decimals.
Express equivalent decimals to the thousandths place value.
Lesson 48: Use place value to name equivalent decimals.
Express equivalent decimals using expanded forms of place value.
Lesson 49: Name a decimal between two numbers.
Use equivalence to identify a decimal between two decimals.
Lesson 50: Compare decimals by using equivalence.
Compare decimals by using place value.
Lesson 51: Express fractions as equivalent decimals.
Express fractions as equivalent decimals by using denominators of
10 and 100.
Lesson 52: Express fractions as equivalent decimals through
division.
Express fractions as equivalent decimals by representing fractions
as a division expression.
Common Core State Standards and Fraction Nation/Page 1
June 2010