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• Day 1
1. Pick a seat. Any seat.
2. Get a whiteboard, a marker, and a paper
towel.
3. Write down one -ing verb to describe your
summer.
4. Hurry. We use time well in this class.
1.1 Variable
Expressions
I CAN:
Write algebraic expressions.
5. What Language Is This?
a)
Die fette Katze geht schnell.
b)
El gato gordo camina rápidamente.
c)
Il gatto grasso cammina velocement.
d)
Le gros chat marche rapidement.
e)
O gato gordo anda rapidamente.
German
Spanish
Italian
French
Portuguese
f) The fat cat walks fast. English
5. What Language Is This?
g) Math42
3• 4 (8 2)3
#1
4 more than p.
#1 #2
p + 4
4 less than p.4 more than p.
#3#2
p - 4
the product of 15 and
c.
4 less than p.
#4#3
15c
the sum of 12 and
five times m.
the product of 15 and
c.
#5#4
5m + 12
What language is
this:
математика - мой
друг.
the sum of 12 and
five times m.
#6#5
Russian.
What language is
this:
математика - мой
друг.
What does this mean
in German?
Mathematik ist mein
Freund.
#7#6
Mathematics is my
friend.
What does this mean
in German?
Mathematik ist mein
Freund.
the quotient of a
number and six.
#8#7
n/6
the quotient of a
number and six.
the product of 5 and
m minus the quotient
of t and 7.
#9#8
5m - t/7
the product of 5 and
m minus the quotient
of t and 7.
four times the sum of
a number and 10.
#10#9
4(n + 10)
four times the sum of
a number and 10.
write this in English:
5n - 7
#11#10
seven less than
five times a
number
write this in English:
5n - 7
write this in English:
q/6 + 7
#12#11
seven more
than the
quotient of q
and six.
write this in English:
q/6 + 7
ten less than five
times a number
7. Fill Out A Notecard
a) What is your name?
b) How old are you?
c) What is your favorite school subject?
d) What do you like about math?
e) What do you dislike about math?
f) What do you need to learn math best?
g) Fill in the blank: when I get older I would like to ______.
8. Who I Am
Vocabulary to Know
• In this class, we have daily vocabulary tests. We
will add words to our glossary section of our binder
every day.
• You are responsible for studying your vocabulary on
a nightly basis.
• Reading over vocabulary for 5 minutes per night will
help you learn it!
• See how many times you can use your vocabulary
words in a day!
Vocabulary to Know
• quantity
Vocabulary to Know
• quantity
• anything that can be measured or counted
Vocabulary to Know
• quantity
• anything that can be measured or counted
• Put it in your own words…
Vocabulary to Know
• quantity
• anything that can be measured or counted
• Examples
Vocabulary to Know
• quantity
• anything that can be measured or counted
• Non-examples
Vocabulary to Know
• quantity
• anything that can be measured or counted
• What are some things that can be measured or
counted?
Vocabulary to Know
• variable
Vocabulary to Know
• variable
• a symbol, usually a letter, that represents the value(s) of a
variable quantity
Vocabulary to Know
• variable
• a symbol, usually a letter, that represents the value(s) of a
variable quantity
• Put it in your own words…
Vocabulary to Know
• variable
• a symbol, usually a letter, that represents the value(s) of a
variable quantity
• Examples
Vocabulary to Know
• variable
• a symbol, usually a letter, that represents the value(s) of a
variable quantity
• Nonexamples
Vocabulary to Know
Vocabulary to Know
• algebraic expression
Vocabulary to Know
• algebraic expression
• a mathematical phrase that includes one or more variables
Vocabulary to Know
• algebraic expression
• a mathematical phrase that includes one or more variables
• Put it in your own words…
Vocabulary to Know
• algebraic expression
• a mathematical phrase that includes one or more variables
• Examples
Vocabulary to Know
• algebraic expression
• a mathematical phrase that includes one or more variables
• Nonexamples
Vocabulary to Know
• numerical expression
Vocabulary to Know
• numerical expression
• a mathematical phrase that involves numbers and
operation symbols, but no variables.
Vocabulary to Know
• numerical expression
• a mathematical phrase that involves numbers and
operation symbols, but no variables.
• Your own words…
Vocabulary to Know
• numerical expression
• a mathematical phrase that involves numbers and
operation symbols, but no variables.
• Examples
Vocabulary to Know
• numerical expression
• a mathematical phrase that involves numbers and
operation symbols, but no variables.
• Nonexamples
Word Phrases
• Addition
• sum
• plus
• more than
• total
• increased by
Word Phrases
• Subtraction
• difference
• minus
• less than
• decreased by
Word Phrases
• Multiplication
• product
• times
• multiplied by
• of
Word Phrases
• Division
• quotient
• divided by
Let’s Practice
• the sum of 5 and a number x
• the difference of a number n and 7
• n divided by 2
• 5 more than a number x
• 4 times a number y
• the quotient of n and 2
• 7 less than a number n
• a number n minus 7
• 5 increased by a number x
More Practice
• 32 more than a number n
• 58 less than a number n
• 18 more than a number n
• 8 times a number n
• the quotient of a number n and 5
• 6 times a number n
• the quotient of 18 and a number n
Two Operation Expressions
• 3 more than twice a number x
• 9 less than the quotient of 6 and a number x
• the product of 4 and the sum of a number x and 7
• 8 less than the product of a number x and 4
• twice the sum of a number x and 8
Using Words for an Expression
Writing a Rule to Describe a Pattern
• The table below shows how the height above the
floor of a house of cards depends on the number of
levels. What is a rule for the height? Give the rule
in words and as an algebraic expression.
Number of Levels Height (in.)
2 (3.5 · 2) + 24
3 (3.5 · 3) + 24
4 (3.5 · 4) + 24
N ?
Writing a Rule to Describe a Pattern
4 4 – 2
5 5 – 2
6 6 – 2
N ?
Focus Question
• How is an algebraic expression different from a
numerical expression?
Assignment
• NOTE that what you do not finish in class is
homework. Homework is always due the next day.
• Pages 7-10
• 1-5; 9-37 odd; 38-42; 44-58
Closing
• In your math journal, label the first page with
today’s date.
• Copy the following prompt:
• Was today’s lesson hard or easy? Why?
• Journal prompts must be answered in complete
sentences. Journal entries must be written for 5 full
minutes. Length is up to you – you are graded
based upon your work ethic.
Attributes
• Textbook: Prentice Hall Algebra I Foundations
Series
• Certain slides were lifted from Dan Meyer’s
amazing algebra curricula through use of a Creative
Commons attribution license. If you haven’t been
to Mr. Meyer’s website and teach math, you’re
surely missing out! http://blog.mrmeyer.com/

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Algebra Foundations Series- 1.1 Variables and Expressions

  • 1. • Day 1 1. Pick a seat. Any seat. 2. Get a whiteboard, a marker, and a paper towel. 3. Write down one -ing verb to describe your summer. 4. Hurry. We use time well in this class.
  • 2. 1.1 Variable Expressions I CAN: Write algebraic expressions.
  • 3. 5. What Language Is This? a) Die fette Katze geht schnell. b) El gato gordo camina rápidamente. c) Il gatto grasso cammina velocement. d) Le gros chat marche rapidement. e) O gato gordo anda rapidamente. German Spanish Italian French Portuguese f) The fat cat walks fast. English
  • 4. 5. What Language Is This? g) Math42 3• 4 (8 2)3
  • 6. #1 #2 p + 4 4 less than p.4 more than p.
  • 7. #3#2 p - 4 the product of 15 and c. 4 less than p.
  • 8. #4#3 15c the sum of 12 and five times m. the product of 15 and c.
  • 9. #5#4 5m + 12 What language is this: математика - мой друг. the sum of 12 and five times m.
  • 10. #6#5 Russian. What language is this: математика - мой друг. What does this mean in German? Mathematik ist mein Freund.
  • 11. #7#6 Mathematics is my friend. What does this mean in German? Mathematik ist mein Freund. the quotient of a number and six.
  • 12. #8#7 n/6 the quotient of a number and six. the product of 5 and m minus the quotient of t and 7.
  • 13. #9#8 5m - t/7 the product of 5 and m minus the quotient of t and 7. four times the sum of a number and 10.
  • 14. #10#9 4(n + 10) four times the sum of a number and 10. write this in English: 5n - 7
  • 15. #11#10 seven less than five times a number write this in English: 5n - 7 write this in English: q/6 + 7
  • 16. #12#11 seven more than the quotient of q and six. write this in English: q/6 + 7 ten less than five times a number
  • 17. 7. Fill Out A Notecard a) What is your name? b) How old are you? c) What is your favorite school subject? d) What do you like about math? e) What do you dislike about math? f) What do you need to learn math best? g) Fill in the blank: when I get older I would like to ______. 8. Who I Am
  • 18. Vocabulary to Know • In this class, we have daily vocabulary tests. We will add words to our glossary section of our binder every day. • You are responsible for studying your vocabulary on a nightly basis. • Reading over vocabulary for 5 minutes per night will help you learn it! • See how many times you can use your vocabulary words in a day!
  • 20. Vocabulary to Know • quantity • anything that can be measured or counted
  • 21. Vocabulary to Know • quantity • anything that can be measured or counted • Put it in your own words…
  • 22. Vocabulary to Know • quantity • anything that can be measured or counted • Examples
  • 23. Vocabulary to Know • quantity • anything that can be measured or counted • Non-examples
  • 24. Vocabulary to Know • quantity • anything that can be measured or counted • What are some things that can be measured or counted?
  • 26. Vocabulary to Know • variable • a symbol, usually a letter, that represents the value(s) of a variable quantity
  • 27. Vocabulary to Know • variable • a symbol, usually a letter, that represents the value(s) of a variable quantity • Put it in your own words…
  • 28. Vocabulary to Know • variable • a symbol, usually a letter, that represents the value(s) of a variable quantity • Examples
  • 29. Vocabulary to Know • variable • a symbol, usually a letter, that represents the value(s) of a variable quantity • Nonexamples
  • 31. Vocabulary to Know • algebraic expression
  • 32. Vocabulary to Know • algebraic expression • a mathematical phrase that includes one or more variables
  • 33. Vocabulary to Know • algebraic expression • a mathematical phrase that includes one or more variables • Put it in your own words…
  • 34. Vocabulary to Know • algebraic expression • a mathematical phrase that includes one or more variables • Examples
  • 35. Vocabulary to Know • algebraic expression • a mathematical phrase that includes one or more variables • Nonexamples
  • 36. Vocabulary to Know • numerical expression
  • 37. Vocabulary to Know • numerical expression • a mathematical phrase that involves numbers and operation symbols, but no variables.
  • 38. Vocabulary to Know • numerical expression • a mathematical phrase that involves numbers and operation symbols, but no variables. • Your own words…
  • 39. Vocabulary to Know • numerical expression • a mathematical phrase that involves numbers and operation symbols, but no variables. • Examples
  • 40. Vocabulary to Know • numerical expression • a mathematical phrase that involves numbers and operation symbols, but no variables. • Nonexamples
  • 41. Word Phrases • Addition • sum • plus • more than • total • increased by
  • 42. Word Phrases • Subtraction • difference • minus • less than • decreased by
  • 43. Word Phrases • Multiplication • product • times • multiplied by • of
  • 44. Word Phrases • Division • quotient • divided by
  • 45. Let’s Practice • the sum of 5 and a number x • the difference of a number n and 7 • n divided by 2 • 5 more than a number x • 4 times a number y • the quotient of n and 2 • 7 less than a number n • a number n minus 7 • 5 increased by a number x
  • 46. More Practice • 32 more than a number n • 58 less than a number n • 18 more than a number n • 8 times a number n • the quotient of a number n and 5 • 6 times a number n • the quotient of 18 and a number n
  • 47. Two Operation Expressions • 3 more than twice a number x • 9 less than the quotient of 6 and a number x • the product of 4 and the sum of a number x and 7 • 8 less than the product of a number x and 4 • twice the sum of a number x and 8
  • 48. Using Words for an Expression
  • 49. Writing a Rule to Describe a Pattern • The table below shows how the height above the floor of a house of cards depends on the number of levels. What is a rule for the height? Give the rule in words and as an algebraic expression. Number of Levels Height (in.) 2 (3.5 · 2) + 24 3 (3.5 · 3) + 24 4 (3.5 · 4) + 24 N ?
  • 50. Writing a Rule to Describe a Pattern 4 4 – 2 5 5 – 2 6 6 – 2 N ?
  • 51. Focus Question • How is an algebraic expression different from a numerical expression?
  • 52. Assignment • NOTE that what you do not finish in class is homework. Homework is always due the next day. • Pages 7-10 • 1-5; 9-37 odd; 38-42; 44-58
  • 53. Closing • In your math journal, label the first page with today’s date. • Copy the following prompt: • Was today’s lesson hard or easy? Why? • Journal prompts must be answered in complete sentences. Journal entries must be written for 5 full minutes. Length is up to you – you are graded based upon your work ethic.
  • 54. Attributes • Textbook: Prentice Hall Algebra I Foundations Series • Certain slides were lifted from Dan Meyer’s amazing algebra curricula through use of a Creative Commons attribution license. If you haven’t been to Mr. Meyer’s website and teach math, you’re surely missing out! http://blog.mrmeyer.com/