Course: 5th Grade Math Instructional Unit

Content Area Math
Course: 5th Grade Math
Unit: Numbers and Operations
TEKS
Guiding Questions/
Specificity
Assessment
Instructional Unit: 1st Instructional Period
Days to teach: 26-27
Vocabulary
Instructional
Strategies
Resources/
Web links
5.3
The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order
to solve problems with efficiency and accuracy.
5.4
The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:
5.3(A) estimate to
Estimate solutions prior
Q1: Anna pays $618 for six
front end estimation, Model how to round
MM p. 31-38
determine solutions to to solving.
months of music lessons. She
with number line and
mathematical and realpays the same amount for
compatible number
compatible numbers.
Engaging Math Vol. I
world problems
Students understand
lessons each month. Which of estimate reasonable
P18-25
involving addition,
estimating allows you to
the following is the best
round about
subtraction,
do mental math.
estimate of the amount Anna
Guided practice using
AIRR 95,98,99,101
multiplication, or
pays each month?
rounding and
division;
Peer Discussion: In what A $100
B $150
ELPS
compatible numbers.
Learn Zillion Estimation
situations is it appropriate C $125
D $200
Strategies:
Supporting
to estimate instead of get
Video: Math antics
an exact answer?
Q2: A delivery truck is
1C, 1E, 2E, 3E,
Rounding
carrying 80 televisions in
3H,4D, 4F, 5B
individual boxes. Each box
Safari: Math'scool Lesson
weighs between 26 and 37
1.5 Estimation
pounds. Which of the
following is a reasonable
estimate of the total weight of
the boxes?
2,500 pounds
880 pounds
3,400 pounds
5,000 pounds
5/2017
1
Content Area Math
Course: 5th Grade Math
Unit: Numbers and Operations
TEKS
Guiding Questions/
Specificity
5.4(F) simplify
numerical expressions
that do not involve
exponents, including
up to two levels of
grouping;
Readiness
Example:
(3 +7) ÷ (5 – 3)
Use Order of Operations
May include fractions and
decimals
Assessment
Q1: All the minutes used by
Mrs. Larsen and her 3 children
for cell phone calls last month
were reported on the same bill.
The bill showed that a total of
1,850 minutes had been used
last month. Mrs. Larsen used
462 minutes. Her son used
twice as many minutes as she
used. Each of her daughters
used the same number of
minutes.
The expression below can be
used to find the number of
minutes each of Mrs. Larsen's
daughters used.
Instructional Unit: 1st Instructional Period
Days to teach: 26-27
Vocabulary
Instructional
Strategies
Simplify,
expression,
equivalent
Resources/
Web links
*Graphic Organizer:
Outlining order of
operation.
Exemplar Lesson
Model steps in order of
operations.
Engaging Math Vol. I
p. 144-151
*Technology-assisted
instruction: Use Order
of Operation Calculator
on www.mathisfun.com
to check answers.
HOS: Order of Operations
p. 106
*Stations: Simplifying
numerical expressions
by solving one step per
line.
Video :Math antics Order
of operation
MM p. 151-158
AIRR level 6 matching
activity 97
Learn zillion-order of
operations (990)
(1,850 - 462 - 462 × 2) ÷ 2
What was the number of
minutes each of Mrs. Larsen's
daughters used?
Promethean Planet "Order
of Operations" flipchart by
Tami Scruggs
F. 926 min
G. 1 min
H. 1,156 min
J. 232 min
5/2017
2
Content Area Math
Course: 5th Grade Math
Unit: Numbers and Operations
TEKS
Guiding Questions/
Specificity
5.4F cont.
5.4(E) describe the
meaning of
parentheses and
brackets in a numeric
expression;
Supporting
5/2017
Simplify (solve for a
value) to a value for use
in the remainder of a
numeric expression. Up
to two levels of grouping.
Assessment
Q2: Angie had a bag that
contained 14 oranges. She put
3 of the oranges in her
brother's lunch box. She put 2
times as many oranges in the
refrigerator as she put in her
brother's lunch box. She used
the rest of the oranges to make
orange juice. Based on the
expression below, how many
oranges did Angie use to make
orange juice?
14 - (3 + 2 • 3)
F. 8
G. 5
H. 1
J. 9
Q1: An expression is given.
3x(8+2)/2
Which statement is true about
the parentheses in this
expression?
A. the parentheses indicate
that 8+2 show be solved first.
B. The parentheses indicate
that 8+2 should be solved last.
C. The parentheses indicate
that 2/2 show be solved last.
D. The parentheses indicate
that 3x8 should be solved first.
Instructional Unit: 1st Instructional Period
Days to teach: 26-27
Vocabulary
Instructional
Strategies
expression,
parentheses,
grouping symbols
brackets
Demonstrate a problem
with no parentheses and
the same problem with
parentheses to show the
difference in the
answer.
21 +3 x 12 =
(21+3) x 12 =
Give students
expressions and have
them put in parentheses
or brackets to equal a
given outcome.
Resources/
Web links
MM p. 151-158
Engaging Math Vol. I
p. 142-143
Foldable
Khan academyIntroduction to order of
operations
Math antics Order of
operation
3
Content Area Math
Course: 5th Grade Math
Unit: Numbers and Operations
TEKS
Guiding Questions/
Specificity
5.3(B) multiply with
fluency a three-digit
number by a two-digit
number using the
standard algorithm;
Use standard algorithm
flexibly, accurately,
efficiently.
Assessment
Q1: A company makes 625 cell
phone cases each day. How
many cell phone cases does the
company make in 31 days?
A $18.375
B $2,500
C $1,490
D $19375
Instructional Unit: 1st Instructional Period
Days to teach: 26-27
Vocabulary
Instructional
Strategies
place value
factors
product
Review Multiplication
of 2 digits by 2 digits.
Resources/
Web links
Exemplar Lesson
MM p. 39-46
How does it change
when you do 3 x 2?
Engaging Math Vol. II
p.26-30
Supporting
Now change cost of CD to $16.
*Round-robin practice.
Switch papers for each
step.
Center Cards-
Q2: Brennon has a total of 187
postage stamps. He has 48
stamps that are each 14
millimeter wide. He has 139
stamps that are each 12
millimeters wide.
*Use of technology to
check answers.
Math antics 3by 2
Reteach 2 by 2
Khan academy –Multi digit
multiplication
What is the total width of these
stamps?
A 2,618 mm
B 2,230 mm
C 2,340 mm
D 657 mm
5.3(C) solve with
proficiency for
quotients of up to a
four-digit dividend by
a two-digit divisor
using strategies and
the standard algorithm;
5/2017
Move from the concrete
understanding of
division to more
abstract.
Explore various
strategies such as area
Q1: Tara has a box of 908
beads for making bracelets. She
wants to put 15 beads on each
bracelet she makes. What is the
greatest number of bracelets
Tara can make with these
beads?
dividend
divisor
place value
quotient
remainder
Do Think Aloud with
strategies in division by
2 digit divisor. Use
partial quotients to
break down the process.
Exemplar Lesson
MM p. 47-54
Engaging Math Vol. II
p. 32-38
4
Content Area Math
Course: 5th Grade Math
Unit: Numbers and Operations
TEKS
Guiding Questions/
Specificity
Assessment
Instructional Unit: 1st Instructional Period
Days to teach: 26-27
Vocabulary
Instructional
Strategies
models and partial
quotients.
Supporting
Use standard algorithm
flexibly, accurately, and
efficiently.
Partner Work: Explain
how to do strategies.
Q2; A gardener has 1,344
bricks to build a path in a
garden. There will be 24 bricks
in each row of the path. How
many complete rows can the
gardener make using 1.344
bricks?
Resources/
Web links
Promethean Planet "Conquering Division
Dragons" flipchart
QR code division.
*Round-robin practice.
Switch papers for each
step.
*Use of technology to
check answers.
Mega Math, The Number
Games, Up Up and Array
*TPT, "Long Division
Worksheets (Division
Tutor)"
Learn Zillion 552
Math antics long division
Math antics 2digit divisor
5.7(A) solve problems
by calculating
conversions within a
measurement system,
customary or metric.
Conversions should be
performed to solve
problems. They may
include fractions and
decimals.
Q1: You need 12cups milk to
make hot chocolate. Which
table would help you find the
number of quarts?
cups
4
12
quarts
1
?
*Use Formula Chart
Supporting
Q2: You need _56_ feet of
fabric to make a costume.
How many yards of fabric
should you buy?
Feet
3
56
Yard
1
?
5/2017
customary system,
metric system,
capacity
centi- , centimeter
cup, feet,
fluid ounce, gallon,
gram, inch, kilo-,
liter, quart meter,
meter, mile, milli- ,
millimeter, ounce
pint, pound,
Scenario-you need 8
cups of juice for punchwhen you go to storewhich containers would
have enough?
Exemplar Lesson
MM p. 191-198
Engaging Math p. 188-194
Learn Zillion Convert
*Set up conversions
measurement
with a table
cups
4
12
quarts
1
?
5
Content Area Math
Course: 5th Grade Math
Unit: Numbers and Operations
TEKS
Guiding Questions/
Specificity
5.4(B) represent and
solve multi-step
problems involving the
four operations with
whole numbers using
equations with a letter
standing for the
unknown quantity;
Readiness
Represent known and
unknown with models,
such as strip diagrams.
Assessment
Q1: A mechanic repaired 28
cars and 46 trucks last month.
He spent 2 hours repairing each
of these vehicles. Which
equation can be used to find h,
the total number of hours the
mechanic spent repairing these
vehicles?
F h = (28 + 46) ÷ 2
G h = (28 + 46) + 2
H h = (28 +46) × 2
J h = (28 + 46) - 2
Q2: Reba is planning a dinner
for 24 people. She wants to
make 3 tacos for each person.
Taco shells are sold in packages
of 12. Find p, the number of
packages of taco shells needed
for the dinner.
A. P = 6 because (24 X 3) ÷ 12
B. P = 96 because (24 ÷ 3)x 12
C. P=864 because (24 X 3)x12
D. P = 20 because (24 ÷ 3) +12
5/2017
Instructional Unit: 1st Instructional Period
Days to teach: 26-27
Vocabulary
Instructional
Strategies
algebraic expression
equation variable
Do Sticky Note Mathgroup problem solving.
Resources/
Web links
MM p. 127-134
Engaging Math p. 120-128
*Guided Practice –
Matching terminology
with expressions
(example: 5 times a
number is 5n)
*Station Activity: Sort
operations to
vocabulary (example:
less than is subtraction)
AIRR level 5 activity 117
and 120
AIRR level 6 activity 140
and 142
*IXLMath app5th grade
Algebra "Solve Equation"
practice
*UPSC: justifying the
solution.
6
Content Area Math
Course: 5th Grade Math
Unit: Numbers and Operations
TEKS
Guiding Questions/
Specificity
Assessment
Instructional Unit: 1st Instructional Period
Days to teach: 26-27
Vocabulary
Instructional
Strategies
Resources/
Web links
Suggested Differentiation



Enrichment
Have student create their own acronym for order of operation
24 game (whole numbers with all operations)
Choice Boards (order of operation)



5/2017
Scaffolding
Visual aids (anchor chart)
Build to complexity
-Order of Operation-start with 2 operations and them build to parenthesis
and more operations
-Multiply Whole number-build from 4th grade 2 by 2s
-Dividing Whole number- build from 4th grade 1 divisor
I Do, We Do, You Do
7