Content Area
Standard
Math
4.5
Strand
NF. Number and Operations – Fractions
Content Statement
CPI#
Cumulative Progress Indicator (CPI)
ACSSSD
Objectives
Use equivalent fractions as a strategy to add and subtract fractions.
4.5.NF.1
4.5.NF.4
a.
Add and subtract fractions with unlike
denominators (including mixed numbers)
by replacing given fractions with
equivalent fractions in such a way as to
produce an equivalent sum or difference
of fractions with like denominators. For
example, 2/3 + 5/4 = 8/12 + 15/12 =
23/12. (In general, a/b + c/d = (ad +
bc)/bd.)
1. Demonstrate an understanding of
a proper fraction as a fraction
less than 1.
2. Demonstrate an understanding of
an improper fraction as a fraction
greater than 1.
3. Demonstrate an understanding of
mixed numbers as a whole
number and a fraction or whole
numbers and parts of a whole.
4. Recognize equivalent fractions.
5. Demonstrate an understanding
that all addition and subtraction
of fractions requires like
denominators.
6. Convert fractions to equivalent
fractions with like denominators.
7. Find the sum or difference of
fractions with like denominators.
Apply and extend previous understandings of multiplication to multiply a fraction
or whole number by a fraction.
Interpret the product (a/b) × q as a parts
of a partition of q into b equal parts;
equivalently, as the result of a sequence
of operations a × q ÷ b. For example, use
a visual fraction model to show (2/3) × 4
= 8/3, and create a story context for this
equation. Do the same with (2/3) × (4/5)
1. Demonstrate the ability to
multiply and divide whole
numbers.
2. Demonstrate the ability to
multiply a fraction by a whole
number.
3. Demonstrate the ability to
= 8/15. (In general, (a/b) × (c/d) =
ac/bd.)
4.
5.
6.
7.
8.
b.
Find the area of a rectangle with
fractional side lengths by tiling it with
unit squares of the appropriate unit
fraction side lengths, and show that the
area is the same as would be found by
multiplying the side lengths. Multiply
fractional side lengths to find areas of
rectangles, and represent fraction
products as rectangular areas.
1.
2.
3.
4.
5.
6.
4.5.NF.6
Solve real world problems involving
multiplication of fractions and mixed
numbers, e.g., by using visual fraction
models or equations to represent the
problem.
1.
2.
3.
multiply a fraction by a fraction,
including improper fractions and
mixed numbers.
Represent a whole number as a
fraction.
Demonstrate the understanding
that a number sentence can be
restated as a word sentence.
Solve a two-step problem.
Represent problems with visual
fraction models.
Create a story context for an
equation.
Demonstrate the understanding
that the area is the number of
square units in a figure.
Apply the formula; Area=Length
x Width to find the area of a
rectangle.
Use concrete manipulatives
(fraction tiles) to demonstrate
area.
Demonstrate the ability to
multiply a whole number by a
fraction.
Find the area of a rectangle with
fractional side lengths by using
fraction tiles.
Find the area of a rectangle with
fractional side lengths by
multiplying side lengths.
Demonstrate the ability to
multiply whole numbers.
Demonstrate the ability to
multiply a whole number by a
fraction.
Demonstrate the ability to
4.5.NF.7
c.
multiply fractions.
4. Write an equation to represent a
real world problem.
5. Demonstrate the ability to use a
visual fraction model to represent
a problem.
Apply and extend previous understandings of division to divide unit fractions by
whole numbers and whole numbers by unit fractions.
Solve real world problems involving
division of unit fractions by non-zero
whole numbers and division of whole
numbers by unit fractions, e.g., by using
visual fraction models and equations to
represent the problem. For example, how
much chocolate will each person get if 3
people share 1/2 lb of chocolate equally?
How many 1/3-cup servings are in 2 cups
of raisins?
1. Demonstrate the ability to divide
whole numbers.
2. Demonstrate the ability to divide
a whole number by a fraction.
3. Identify the number of unit
fractions in a whole.
4. Multiply whole numbers by unit
fractions.
5. Use visual fraction models to
solve real world problems.
6. Develop an equation to solve real
world problems.
7. Develop strategies to make sense
of real world problems.