Current Unit:
Key Learning(s): Students will divide larger numbers. Add,
subtract and multiply fractions and mixed numbers. Make line plots that display
fractions and use plots to add and subtract fractions.
Unit Essential Question(s): Why is it
important to know how to divide larger numbers?
How can you
apply your knowledge of adding, subtracting and multiplying fractions and mixed
numbers to real life situations?
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Concept:
MACC.4.NBT.2.6- Find whole-number quotients and
remainders with up to four-digit dividends and one-digit divisors, using
strategies based on place value, the properties of operations, and/or the
relationship between multiplication and division. Illustrate and explain the
calculation by using equations, rectangular arrays, and/or area models
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Concept:
MACC.4.NF.2.3-Understand a fraction a/b
with a > 1 as a sum of fractions 1/b.
a.Understand addition and subtraction of fractions as joining
and separating parts referring to the same whole.
b.Decompose a fraction into a sum of fractions with the same
denominator in more than one way, recording each decomposition by an equation.
Justify decompositions, e.g., by using a visual fraction model. Examples:
3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 +
1/8.
c.Add and subtract mixed numbers with like denominators, e.g.,
by replacing each mixed number with an equivalent fraction, and/or by using
properties of operations and the relationship between addition and
subtraction.
d. Solve word problems involving addition and subtraction of
fractions referring to the same whole and having like denominators, e.g., by
using visual fraction models and equations to represent the problem.
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Concept:
MACC.4.NF.2.4 Apply and extend previous
understandings of multiplication to multiply a fraction by a whole number.
a.Understand a fraction a/b as a multiple of 1/b.
For example, use a visual fraction model to represent 5/4 as the product 5
× (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
b.Understand a multiple of a/b as a multiple of 1/b, and use
this understanding to multiply a fraction by a whole number. For example,
use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing
this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
c.Solve word problems involving multiplication of a fraction
by a whole number, e.g., by using visual fraction models and equations to
represent the problem.
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Lesson Focus Questions:
What steps do you follow when dividing larger
numbers?
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Lesson Focus Questions:
How can your knowledge of equivalent fractions and
operations help you to solve problems that involve fractions?
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Lesson Focus Questions:
How can you use models and your
knowledge of (multiplication, addition, and division)properties to help you
multiply a fraction by a whole?
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Vocabulary: whole number quotients, remainders, dividends,
divisors, properties, operations, multiplication, rectangular arrays, area
models
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Vocabulary:
Sum, equivalent fraction, mixed number, decompose,
denominator
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Vocabulary:
Identity property, inverse, equation, multiple
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Concept:
MACC.4..MD.2.4-Make a line plot to display a data set
of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems
involving addition and subtraction of fractions by using information
presented in line plots.
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Lesson
Focus Questions:
How do you use a line plot?
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Vocabulary:
Data, line plot, length, fractions
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Trade Books: Place for Zero, A Math Adventure,
Memorization of Multiplication Facts is essential in Math this year. Below you will find some helpful websites that can help you practice your facts while having fun!
Multiplication Websites:
Multiple Math Concepts Websites:
Textbook Website:
http://connected.mcgraw-hill.com/connected/login.do
