6th Grade Math HOMEWORK
ANSWERS
Lesson 13 Exit Ticket
&
Lesson 14 Exit Ticket
Expressions and Equations
Expressing Operations in
Algebraic Form
Common Core: Engage New York
6.EE.1, 6.EE.2, 6.EE.3 and 6.EE.4
Lessons 15-17: 6.EE.2b
Lessons 15 & 16: Read and
Write Expressions in
Which Letters Stand for
Numbers
6.EE. A.2b
What does 6.EE.A.2 cover?
• Write, read, and evaluate expressions in which letters stand for numbers
a. Write expressions that record operations with numbers and with
letters standing for numbers. For example, express the calculation “Subtract 𝑦
from 5” as 5−𝑦.
b. Identify parts of an expression using mathematical terms (sum,
term, product, factor, quotient, coefficient); view one or more parts of an
expression as a single entity. For example, describe the expression 2(8+7) as
a product of two factors; view (8+7) as both a single entity and a sum of two
terms.
c. Evaluate expressions at specific values of their variables. Include
expressions that arise from formulas used in real-world problems. Perform
arithmetic operations, including those involving whole-number exponents, in
the conventional order when there are no parentheses to specify a particular
order (Order of Operations). For example, use the formulas 𝑉=𝑠3 and 𝐴=6𝑠2 to
find the volume and surface area of a cube with sides of length 𝑠=1/2.
Date
Table of Contents
Title
Page
3/17/14
F8 ENY L11&12- Factoring & Distributing
Marzano:
Pre- ???/???
Post- ???/???
Fresh Left
3/18/14
F8 ENY L13&14- Writing Division Expressions
Marzano: Pre- ???
Post- ???
Fresh Left
3/19/14
F8 ENY L15&16- Read & Write Expressions with Variables
Marzano: Pre- ???
Post- ???
Fresh Left
MARZANO SCALE RATING
Before we start the Learning
Target Lesson, think about the
Learning Target for today….
How much prior knowledge do
you have regarding that goal?
Chart your prior knowledge using
your pre-target score icon.
Today, I work towards achieving the Learning Goal
by focusing on the Learning Target for this lesson.
• I will read expressions in which letters stand for
numbers. I will assign operation terms to operations
when reading.
• I will identify parts of an algebraic expression using
mathematical terms for all operations.
• I will write algebraic expressions that record all
operations with numbers and letters standing for the
numbers.
Take a moment to ANALYZE today’s Learning Target,
using Marzano’s scale (0-4) evaluate and rate your
prior knowledge, understanding and application.
Focus 8
Algebraic Expression Learning Goal
• I am able to work with numerical expressions
and use letters to represent unknowns in
problem solving situations
• I am able to investigate and apply properties
of operation in numerical contexts, such as
the associative, distributive, and
commutative properties.
• I can build on my understanding of inverse
operations to solve algebraic expressions.
Mathematical Words & Operations
Lesson 15:
Read Expressions in Which Letters Stand for Numbers- Ex. 1
Write an expression using words.
• 𝑎−𝑏
• 𝑥𝑦
• 4𝑓 + 𝑢
• 𝑑 − 𝑏3
• 5 𝑢 − 10 + ℎ
•
3
𝑑+𝑓
Lesson 15: Read Expressions in Which Letters Stand for Numbers- Ex. 1
Exercises- Write ALL the vocabulary words that could be used to
describe the given expression.
6ℎ − 10
Addition
Subtraction
Multiplication
Division
5𝑑
6
Sum
Difference
Product
Quotient
5 2+𝑑 −8
Add
Subtract
Multiply
Divide
𝑎𝑏𝑐
More than
Less than
Times
Each
Lesson 15: Read Expressions in Which Letters Stand for Numbers- Ex. 1
Write an expression using vocabulary to represent each given expression.
• 8 − 2𝑔
• 15(𝑎 + 𝑐)
•
𝑚+𝑛
5
• 𝑏 3 − 18
• 𝑓−
•
𝑢
𝑥
𝑑
2
Lesson 15 Closing
Peter says the expression 11 − 3𝑐 is
three times 𝑐 decreased by 11.
Is he correct? Why or why not?
Lesson 16:
Write Expressions in
Which Letters Stand
for Numbers
Lesson 16:
Write Expressions in Which Letters Stand for Numbers- Ex. 1
Identify the key words in each statement.
• The sum of twice 𝑏 and 5.
• The quotient of 𝑐 and 𝑑.
• 𝑎 raised to the fifth power then increased by the product of 5 and 𝑐.
• The quantity of 𝑎 plus 𝑏 divided by 4.
• 10 less than the product of 15 and 𝑐.
• 5 times 𝑑 increased by 8.
Lesson 16:
Write Expressions in Which Letters Stand for Numbers- Ex. 1
Change the expressions given in the opening exercise from words to
variables and numbers.
• The sum of twice 𝑏 and 5.
• The quotient of 𝑐 and 𝑑.
• 𝑎 raised to the fifth power then increased by the product of 5 and 𝑐.
• The quantity of 𝑎 plus 𝑏 divided by 4.
• 10 less than the product of 15 and 𝑐.
• 5 times 𝑑 increased by 8.
Lesson 16:
Write Expressions in Which Letters Stand for Numbers- Ex. 2
Change each real world scenario to an expression using variables and
numbers. Underline the text to show the key words before writing
the expression.
• Marcus has 4 more dollars than Yaseen. If 𝑦 is the amount of money
Yaseen has, write an expression to show how much money Marcus
has.
• Mario is missing half of his assignments. If 𝑎 represents the number
of assignments, write an expression to show how many assignments
Mario is missing.
• Kamilah’s weight has tripled since her first birthday. If 𝑤 represents
the amount Kamilah weighed on her first birthday, write an
expression to show how much Kamilah weighs now.
Lesson 16:
Write Expressions in Which Letters Stand for Numbers- Ex. 2
Exercises- Mark the text by underlining key words, and then write an
expression using variables and numbers for each statement below.
• 𝑏 decreased by 𝑐 squared.
• 24 divided by the product of 2 and 𝑎.
• 150 decreased by the quantity of 6 plus 𝑏.
• The sum of twice 𝑐 and 10.
• Marlo had $35 but then spent $𝑚.
Lesson 16:
Write Expressions in Which Letters Stand for Numbers- Ex. 2
Exercises- Mark the text by underlining key words, and then write an
expression using variables and numbers for each statement below.
• Samantha saved her money and was able to quadruple the original
amount, 𝑚.
• Veronica increased her grade, 𝑔, by 4 points, and then doubled it.
• Adbell had 𝑚 pieces of candy and ate 5 of them. Then he split the
remaining candy equally among 4 friends.
• To find out how much paint is needed, Mr. Jones must square the
side length of the gate, and then subtract 15.
• Luis brought 𝑥 cans of cola to the party, Faith brought 𝑑 cans of cola,
and De’Shawn brought ℎ cans of cola. How many cans of cola did
they bring all together?
Lesson 16 Closing
• How is writing expressions with variables and numbers
similar to writing expressions using words?
• Possible answers: The same vocabulary words can be
used; identifying parts of the expression before writing
the expression is helpful.
• How is writing expressions with variables and numbers
different than writing expressions using words?
• Possible answers: When an expression with words is
provided, it is possible that it might be represented
mathematically in more than one way. However, when
an algebraic expression is written, there can only be one
correct answer.
Today, I worked towards achieving the Learning Goal by
mastering the Learning Target for this lesson.
• I CAN read expressions in which letters stand for
numbers. I CAN assign operation terms to
operations when reading.
• I CAN identify parts of an algebraic expression using
mathematical terms for all operations.
• I CAN write algebraic expressions that record all
operations with numbers and letters standing for
the numbers.
Take a moment to REFLECT on today’s Learning Target,
using Marzano’s scale (0-4) evaluate and rate how you
built upon your prior knowledge, demonstrated
understanding and application.
th
6 Grade Math HOMEWORK
Lesson 15 Exit Ticket
&
Lesson 16 Exit Ticket