Download 1-5 Lesson

Topic: 1-4 Translating Words into Symbols
Objective:
To translate phrases into variable expressions
Core Content for Assessment:
MA-11-1.1.1a Students will use order relations (less than, greater
than, equal to) to represent problems using real numbers
Materials/Resources
Textbook
Procedures:
1. Warm-up
2. Check HW as appropriate
3. Go over translation phrases:
Operation
Addition
Subtraction
Multiplication
Division
Phrase
Sum of
Increased by
More than
Difference
Decreased by
Less than
Minus
Product of
Times
Of
Quotient of
Divided by
Point out phrases involving subtraction can be confusing: 5 less
than x is x-5 not 5-x.
4. Practice translation examples
a. four more than six times a number
6x + 4
b. half the difference between a number and three ½(x-3)
c. the quotient of seven and a number
7/x
5. Discuss formulas:
A = lw
(Area of a Rectangle)
P = 2l + 2w (Perimeter of a Rectangle)
D = rt
(Distance equals rate times time)
C = np
(Cost equals number of items times price per item)
6. Practice writing equations:
a. Find the area and perimeter of a rectangle with length 4 and
width w. A = 4w, P = 2(4) + 2w = 8 + 2w
b. You buy 6 pencils at m cents each and 4 notebooks at n cents
each. How much did you spend? C = 6m + 4n
c. You travel 40 miles per hour for x hours. How far did you
travel? D = 40x
7. Class work as appropriate.
8. HW: p. 16 – 18 as appropriate.
Lesson Assessments:
Classwork, Homework.
Topic: 1-5 Translating Sentences into Equations
Objective:
To translate word sentences into equations
Core Content for Assessment:
MA-11-1.1.1a Students will use order relations (less than, greater
than, equal to) to represent problems using real numbers
Materials/Resources
Textbook, Translating Memory Cards
Procedures:
1. Warm Up
2. Check HW
3. Translating sentences: point out that sentences can usually be
translated in order and is almost always =.
4. Practice:
a. Twice the sum of a number and twelve is forty 2(x+12)=40
b. When a number is multiplied by four and the result is
decreased by five, the final result is nine. 4x – 5 = 9
c. Eight less than a number is 9. x – 8 = 9
d.
4
4 + 5 + x = 19
5
Perimeter = 19
x
e. The distance traveled in 4 hours was 180 miles 180 = r(4) =
4r
5. Activity: Translation Memory Game. Match the sentence with the
equation. Turn all cards face down. Turn over two at a time. If
they are equivalent, remove the match and record on the
worksheet.
Alternate directions: Cut out equations and words and pass out to
students. Then have them walk around the room and find their
match. Display matches in front of class
6. HW from pages 20-22 as appropriate.
Lesson Assessments:
Warm up, homework check, memory game check.
Memory Game Record Sheet
Sentence
Equation
1. __________ __________
2. __________ __________
3. __________ __________
4. __________ __________
5. __________ __________
6. __________ __________
7. __________ __________
8. __________ __________
9. __________ __________
10. __________ __________
11. __________ __________
12. __________ __________
13. __________ __________
14. __________ __________
15. __________ __________
6(x-1)=7
x-6=7
2+x
3 - 2x = 8
(1/2)x - 11
6x-1=7
2x - 4
2+x=4
2x - 3
2x + 2 = 3x
6(1-x)=7
2x = 4
2=x-4
(1/2)x = 11
2(x+2) =3x
The sum of 2 and a
number
Six less than a
number is seven
Four less than twice
a number
One less than six
times a number is
seven
The product of six
and the difference
of one and a number
is seven
Two is four less than
a number
Six times the
difference of a
number and one is
seven
Twice a number is
four
Three diminished by
twice a number is
eight
One half of a
number is eleven
Eleven less than half
a number
Three less than
twice a number
Twice the sum of a
number and two is
three times the
number.
Two more than twice
a number is three
times the number
Two more than a
number is four