1. Sixth Grade
Mapping Diagrams

2. 6 -- Warm Up
9.1 Mapping Diagrams
6
3
9
57
2
5x + 7 < 92
9 – 2x ≥ 145
𝟒
𝟓
÷
𝟕
𝟗
145.2(21.5)
ESSENTIAL QUESTION: What’s a mapping diagram? How can it be used to represent
a function?
COMMON CORE 6.EE.9

3. 6 -- Warm Up [ANSWER KEY]
70 𝑢𝑛𝑖𝑡𝑠3
5x + 7 < 92
x = 17
9 – 2x ≥ 145
x = 68
𝟒
𝟓
÷
𝟕
𝟗
=
𝟑𝟔
𝟑𝟓
145.2(21.5) = 3,121.8
162 𝑢𝑛𝑖𝑡𝑠3

4. Create a mapping diagram

5. 6 -- Exit Slip
Homework: Green WB pp194
Draw a Mapping Diagram of the ordered pairs
List the ordered pairs in the Mapping Diagram
Complete the Mapping Diagram. Describe a pattern algebraically.
(1,5) (2,10) (3,10) (5, 20) (9, 6) (0, 0) (-9, -6) (-18, -12)
12
18
24
30
36
0
5
a
b
c
5
10
d
20
e
4
8
f

6. 6 -- Exit Slip [ANSWER KEY]
Homework: Green WB pp194
Draw a Mapping Diagram of the ordered pairs
List the ordered pairs in the Mapping Diagram
Complete the Mapping Diagram. Describe a pattern algebraically.
(1,5) (2,10) (3,10) (5, 20) (9, 6) (0, 0) (-9, -6) (-18, -12)
12
18
24
30
36
0
5
10
15
20
5
10
15
20
2
4
8
10

7. 6 -- Warm Up
9.2: Functions as Words & Expressions
ESSENTIAL QUESTION: How do you describe a function
with words & equations?
COMMON CORE: 6.EE.9 -- Represent & analyze quantitative relationships between dependent &
independent variables. Use variables to represent two quantities in a real-world problem that change in relationship to one
another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought
of as the independent variable. Analyze the relationship between the dependent & independent variables using graphs & tables,
& relate these to the equation.
• Big Ideas Math Chapter Resource Book
– Chapter Nine “Functions, Tables & Graphs”
• 9.1 Practice A
–Page 343
URL: http://www.mediafire.com/view/?qlixpb16ahbhb86

8. 9.2 “Functions as Words & Expressions” Index
Card Activity
GROUPS OF THREE OR FOUR
After each step cards should be passed to the
student to the right.
Step 1: Draw a polygon
Step 2: Create a mapping diagram for their new
card.
Step 3: Write an equation that describes the
function.
Step 4: Check the work on the card

9. 6 – Exit Slip
9.2: Functions as Words & Expressions
• Big Ideas Math Chapter Resource Book
– Chapter Nine “Functions, Tables & Graphs”
• 9.2 Practice A
– Page 349
1. y x = + 10
2. 2. y = 3x
3. y x = − 8
4. y x = 2
5. y = 4
6. y = 24
7. y = 39
8. y = 6
9. solution
10. not a solution
11. not a solution
12. solution
13 a. d h = 6
13 b. d = 12 miles
14 a. s a = − 4
14 b. s = $3.50
14 c. a = $6
URL: http://www.mediafire.com/view/?qlixpb16ahbhb86

10. 6 – Warm Up
9.3: Input Output Tables
ESSENTIAL QUESTION: How can you use a table to
describe a function?
COMMON CORE: 6.EE.9
• Big Ideas Math Chapter Resource Book
– Chapter Nine “Functions, Tables & Graphs”
• 9.2 Practice B
– Page 350
URL: http://www.mediafire.com/view/?qlixpb16ahbhb86

11. 9.3: Input Output Tables
The output (y) is twice the input
(x)
x 0 4 8 12
y
The output (y) is two times plus 4 the input (x)
x 0 4 8 12
y
The output (y) is five less than the
input (x)
x 0 4 8 12
y
The input (x) is 6 more than the
input (y)
x
y 12 18 24 30
DIRECTIONS: Write an equation for the function. Then complete the table, Use separate paper!
x 3 6 9
y 9 36 81
x 1 6 10 x 3
4
4
5
9
10
20
20
y 3 18 30 y 3.75 4.00 4.50 5
DIRECTIONS: Write an equation for the table. Use separate paper!
File Name: F:TeachingNorth East Carolina Prep SchoolLesson PlansMathAssigments6 – Input Output Tables
x 0 5 10 x 1 7 13 19
y 1 16 31 y 4.5 31.5 58
1
2
92
+ 4.5
DIRECTIONS: Complete the table. Make a mapping diagram as well. Use separate paper!
URL

13. Seventh Grade
Volume of Prisms; Cylinder;
Pyramid; Cones
V =
1
3
𝜋𝑟2
(ℎ) V =
1
3
(𝑏)(ℎ)
V = (a)(b)(c) V = 𝜋𝑟2
(ℎ)
V =
5
2
(𝑎)(𝑏)(ℎ)

14. 7 – Warm Up
7.0: Chapter Opener
7 – Multiplying 3 Digits by Two Digits DOCX URL
Essential Question: N/A
Common Core: N/A
URL: http://www.scribd.com/doc/134235140/7-%E2%80%93-Multiplying-3-Digits-by-Two-Digits

15. 7 – Warm Up
7.0: Chapter Opener [ANSWER KEY]
1) 11,988 6) 9384 11) 63,456
2) 11,592 7) 27579 12) 18,102
3) 23,791 8) 11,616 13) 24,852
4) 40,313 9) 70,176 14) 16,360
5) 33,733 10) 59,414 15) 12,350
URL: http://www.scribd.com/doc/134235140/7-%E2%80%93-Multiplying-3-Digits-by-Two-Digits
7 – Multiplying 3 Digits by Two Digits DOCX URL

16. 7 -- Exit Slip
7.0 Chapter Opener
1. Molly and Lucy went to lunch at a cafe. They ordered a
spinach salad for $8.00, a tuna sandwich for $6.60, and 2
glasses of lemonade for $0.70 each. The tax was $1.60.
They gave the waiter $20.00. How much change should
they have received?
2. James had 13 green marbles. Then he bought 9 bags of
blue marbles. There were 10 marbles in each bag. How
many marbles does James have now?
3. Laura needs 100 cupcakes for a birthday party. She already
has 34 chocolate cupcakes and 18 vanilla cupcakes. How
many more cupcakes should Laura buy?
HW: Finish Red Workbook pp 161 & 162 URL

17. 7 -- Exit Slip
7.0 Chapter Opener [ANSWER KEY]
1. Molly and Lucy went to lunch at a cafe. They ordered a
spinach salad for $8.00, a tuna sandwich for $6.60, and 2
glasses of lemonade for $0.70 each. The tax was $1.60. They
gave the waiter $20.00. How much change should they have
received? $2.40
2. James had 13 green marbles. Then he bought 9 bags of blue
marbles. There were 10 marbles in each bag. How many
marbles does James have now? 103
3. Laura needs 100 cupcakes for a birthday party. She already
has 34 chocolate cupcakes and 18 vanilla cupcakes. How
many more cupcakes should Laura buy? 48

18. 7 – Warm Up
7.1: Volume of Prisms
7 – Multiplying Decimals 1 DOCX & URL
ESSENTIAL QUESTION: How can
you find the volume of a prism?
COMMON CORE
7.G.6: Solve real-life & mathematical problems
involving angle measure, area, surface area, &
volume. Solve real-world & mathematical problems
involving area, volume & surface area of two- &
three-dimensional objects composed of triangles,
quadrilaterals, polygons, cubes, & right prisms.
URL: http://www.scribd.com/doc/134237433/7-%E2%80%93-Multiplying-Decimals-1

19. 7 – Warm Up
7.1: Volume of Prisms [ANSWER KEY]
7 – Multiplying Decimals 1 DOCX & URL
URL: http://www.scribd.com/doc/134237433/7-%E2%80%93-Multiplying-Decimals-1
1) 1,589.19 6) 569.95 11) 5,847.27
2) 2,448.3 7) 6496.55 12) 3,243.71
3) 320.93 8) 1,107.52 13) 1,033.82
4) 1,479.56 9) 1,833.01 14) 879.73
5) 2,404.87 10) 2,496.23 15) 1,507.51

20. 7 Exit Slip
7.1 Volume of Prisms
a = 4
b = 6
h = 12
HW: Red Workbook pp 166

21. 7 Exit Slip
7.1 Volume of Prisms [ANSWER KEY]
24 𝑚𝑒𝑡𝑒𝑟𝑠3
36 𝑓𝑒𝑒𝑡3
1,920 𝑢𝑛𝑖𝑡𝑠3
720 𝑢𝑛𝑖𝑡𝑠3
a = 4
b = 6
h = 12

22. 7 – Warm Up
7.2: Volume of Cylinders
ESSENTIAL QUESTION: How can you find the volume of
a cylinder?
• 7.G.4: Solve real-life & mathematical problems involving angle measure, area,
surface area, & volume. Know the formulas for the area & circumference of a
circle & use them to solve problems; give an informal derivation of the relationship
between the circumference & area of a circle.
• 7.G.6: Solve real-life & mathematical problems involving angle measure, area,
surface area, & volume. Solve real-world & mathematical problems involving area,
volume & surface area of two- & three-dimensional objects composed of triangles,
quadrilaterals, polygons, cubes, & right prisms
• 8.G.9: Solve real-world & mathematical problems involving volume of cylinders,
cones, & spheres. Know the formulas for the volumes of cones, cylinders, &
spheres & use them to solve real-world & mathematical problems
Big Ideas Math Chapter Resource Book
– Chapter Seven “Volumes of Solids”
• 7.1 Practice A
–Page 291

23. 7 – Warm Up
7.2: Volume of Cylinders [ANSWER KEY]
Big Ideas Math Chapter Resource Book
– Chapter Seven “Volumes of Solids”
• 7.1 Practice A
–Page 291
1) 𝟑𝟔 𝒊𝒏𝒄𝒉𝒆𝒔 𝟑 5) 𝟏𝟓 𝒊𝒏𝒄𝒉𝒆𝒔 𝟑
2) 𝟏𝟑𝟓 𝒎𝒆𝒕𝒆𝒓𝒔 𝟑
6) 𝟑𝟎𝟎 𝒎𝒆𝒕𝒆𝒓𝒔 𝟑
3) 𝟏𝟐𝟎 𝒄𝒆𝒏𝒕𝒊𝒎𝒆𝒕𝒆𝒓𝒔 𝟑
7) 𝟖 𝒊𝒏𝒄𝒉𝒆𝒔 𝟑
4) 𝟏𝟔 𝒚𝒂𝒓𝒅𝒔 𝟑 8) 𝟓, 𝟐𝟖𝟎 𝒊𝒏𝒄𝒉𝒆𝒔 𝟑
9. 8.7 gallons

24. 7 – Exit Slip
7.2 Volume of Cylinders
HW: Red Workbook pp 170 URL
10
7 feet
5
10 inches

25. 7 – Exit Slip
7.2 Volume of Cylinders [ANSWER KEY]
HW: Red Workbook pp 170 URL
10
7
5
10
2,198 𝑓𝑒𝑒𝑡3
1,570 𝑖𝑛𝑐ℎ𝑒𝑠3

26. 7 – Warm Up
7.3: Volume of Pyramids
• ESSENTIAL QUESTION: How can you
find the volume of a pyramid?
• 7.G.6: Solve real-life & mathematical problems involving angle measure,
area, surface area, & volume. Solve real-world & mathematical problems
involving area, volume & surface area of two- & three-dimensional objects
composed of triangles, quadrilaterals, polygons, cubes, & right prisms
Glencoe McGraw Hill Homework Practice Workbook Pre Algebra
Chapter 12.3: Skills Practice “Volume of Cylinders”
Page 167
URL: https://docs.google.com/file/d/0ByTURXvBusNWMXpZUkgxTTlxeGc/edit?usp=sharing

27. 7 – Warm Up
7.3: Volume of Pyramids [ANSWER KEY]
Glencoe McGraw Hill Homework Practice Workbook Pre Algebra
Chapter 12.3: Skills Practice “Volume of Cylinders”
Page 167
URL: https://docs.google.com/file/d/0ByTURXvBusNWMXpZUkgxTTlxeGc/edit?usp=sharing
1) 7) 13)
2) 8) 14)
3) 9) 15)
4) 10) 16)
5) 11) 17)
6) 12) 18)

28. 7 – Warm Up
7.4: Volume of Cones
• ESSENTIAL QUESTION: How can you find
the volume of a cone?
• 7.G.4: Solve real-life & mathematical problems involving angle measure, area,
surface area, & volume. Know the formulas for the area & circumference of a
circle & use them to solve problems; give an informal derivation of the relationship
between the circumference & area of a circle.
• 7.G.6: Solve real-life & mathematical problems involving angle measure, area,
surface area, & volume. Solve real-world & mathematical problems involving area,
volume & surface area of two- & three-dimensional objects composed of triangles,
quadrilaterals, polygons, cubes, & right prisms
• 8.G.9: Solve real-world & mathematical problems involving volume of cylinders,
cones, & spheres. Know the formulas for the volumes of cones, cylinders, &
spheres & use them to solve real-world & mathematical problems
7 – Volume of Pyramid 1 PDF & URL

29. 7 – Warm Up
7.4: Volume of Cones [ANSWER KEY]
7 – Volume of Pyramid 1 PDF & URL
1) 𝟔𝟒 𝒚𝒂𝒓𝒅𝒔 𝟑
6) 𝟕𝟐 𝒄𝒆𝒏𝒕𝒊𝒎𝒆𝒕𝒆𝒓𝒔 𝟑
2) 𝟐𝟏 𝒎𝒆𝒕𝒆𝒓𝒔 𝟑
7) 𝟏𝟔 𝒎𝒊𝒍𝒆𝒔 𝟑
3) 𝟕𝟐 𝒚𝒂𝒓𝒅𝒔 𝟑
8) 𝟑𝟕 𝒊𝒏𝒄𝒉𝒆𝒔 𝟑
4) 𝟏𝟎 𝒎𝒆𝒕𝒆𝒓𝒔 𝟑
9) 𝟑𝟐𝟎 𝒊𝒏𝒄𝒉𝒆𝒔 𝟑
5) 𝟗𝟔 𝒇𝒆𝒆𝒕 𝟑 10) 𝟖𝟖 𝒎𝒊𝒍𝒆𝒔 𝟑

31. 8th Grade
Linear Equations Word Problems
04.08 – 04.12.2013

32. 8 – Warm Up
3.4 :Real Life Linear Equations
8 – Two Step Equations 1 DOCX & URL
ESSENTIAL QUESTION: How can you use
linear equations with two variables to
solve real life situations?
COMMON CORE
8.EE.6: Use similar triangles to explain why the slope m is the same between any two distinct
points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through
the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
8.F.4: Construct a function to model a linear relationship between two quantities. Determine the
rate of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or a
table of values
URL: http://www.scribd.com/doc/134324541/8-Two-Step-Equations-1

33. 8 – Warm Up
3.4 :Real Life Linear Equations [ANSWER KJEY]
8 – Two Step Equations 1 DOCX & URL
URL: http://www.scribd.com/doc/134324541/8-Two-Step-Equations-1
1) x= 5 5) x= 9 9) x= 0
2) x= 9 6) x= 7 10) x= 0
3) x= (-9) 7) x= 5 11) x= 1
4) x= 10 8) x= 5 12) x= (-6)

34. 8 – Exit Slip
3.4 :Real Life Linear Equations
Sophie reads 21 pages
per hour. After a total
of 2 hours of reading
this week, how many
pages will Sophie have
read in all?
Diane learns to
perform 2 vocal pieces
during each week of
lessons. After 3 weeks
of voice lessons, how
many pieces will Diane
be able to sing, in
total?
HW: 8 – Linear Equation Word Problems 5

35. 8 – Exit Slip
3.4 :Real Life Linear Equations [ANSWER KEY]
Sophie reads 21 pages per
hour. After a total of 2
hours of reading this week,
how many pages will Sophie
have read in all?
42
Diane learns to perform 2
vocal pieces during each
week of lessons. After 3
weeks of voice lessons, how
many pieces will Diane be
able to sing, in total?
6

36. 8 – Warm Up
3.4 :Real Life Linear Equations
8 -- Systems of Linear Equations Multiplication Solve by Elimination Homework 12
ESSENTIAL QUESTION: How can you use
linear equations with two variables to
solve real life situations?
COMMON CORE
8.EE.6: Use similar triangles to explain why the slope m is the same between any two distinct
points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through
the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
8.F.4: Construct a function to model a linear relationship between two quantities. Determine the
rate of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or a
table of values
URL:

37. 8 – Warm Up
3.4 :Real Life Linear Equations [ANSWER KEY]
8 -- Systems of Linear Equations Multiplication Solve by Elimination Homework 12
URL:
69) x = 3y - 5
3x - y = 9 answer: x = 4, y = 3
70) y = - 5x - 3
- 4x = - 3 - y answer: x = 0, y = -3
71) x = - 4y + 44
x + 2y = 26 answer: x = 8, y = 9
72) - 5y + 2x = 34
y = 3x - 12 answer: x = 2, y = -6
73) 4x = - 5y - 77
x = - 5y - 53 answer: x = -8, y = -9
74) 2y - x = - 3
y = - 2x - 24 answer: x = -9, y = -6
75) x = - y - 11
x = - 2y - 18 answer: x = -4, y = -7
76) x = - y - 7
- 4x + 2y = 40 answer: x = -9, y = 2

38. 8 – Exit Slip
3.4 :Real Life Linear Equations
Sophie reads 47 pages
per hour. After a total
of 3 hours of reading
this week, how many
pages will Sophie have
read in all?
Diane learns to
perform 9 vocal pieces
during each week of
lessons. After 7 weeks
of voice lessons, how
many pieces will Diane
be able to sing, in
total?
HW: 8 – Linear Equation Word Problems 6

39. 8 – Exit Slip
3.4 :Real Life Linear Equations [AK]
Sophie reads 47 pages per
hour. After a total of 3
hours of reading this
week, how many pages
will Sophie have read in
all?
141
Diane learns to perform
9 vocal pieces during
each week of
lessons. After 7 weeks
of voice lessons, how
many pieces will Diane
be able to sing, in total?
63
HW: 8 – Linear Equation Word Problems 6

40. 8 – Warm Up
3.5 :Real Life Systems of Linear
Equations
8 -- Systems of Linear Equations Multiplication Solve by Elimination Homework 13
ESSENTIAL QUESTION: How can you use a
system of linear equations with two
variables to solve real life situations?
COMMON CORE
• 8.EE.8a
• 8.EE.8b
• 8.EE.8c
URL:

41. • Peak Valley MS has
1,200 students;
decreasing by 30 per
year
• Southern Tier MS has
500 students; increasing
by 40 students per year
– In how many years will
the schools have the
same enrollment?
Year (x) Peak Valley
P
Southern
Tier S
0 1,200 500
1
2
3
4
5
6
7
8
9
10
Activity 3: Writing a System

42. Activity 3: Writing a System
• Peak Valley MS has
1,200 students;
decreasing by 30 per
year
• Southern Tier MS has
500 students; increasing
by 40 students per year
– In how many years will
the schools have the
same enrollment?
Year (x) Peak Valley
P
Southern
Tier S
0 1,200 500
1 1,170 540
2 1,140 580
3 1,110 620
4 1,080 660
5 1,050 700
6 1,020 740
7 990 780
8 960 820
9 930 860
10 900 900

43. Activity 3: Writing a System
• Peak Valley MS has
1,200 students;
decreasing by 30 per
year
• Southern Tier MS has
500 students; increasing
by 40 students per year
– In how many years will
the schools have the
same enrollment?
• Peak Valley
y = mx + b
y = 30x + 1,200
• Southern Tier
y = mx + b
y = ____x + _____

44. Activity 3: Writing a System
• Peak Valley MS has
1,200 students;
decreasing by 30 per
year
• Southern Tier MS has
500 students; increasing
by 40 students per year
– In how many years will
the schools have the
same enrollment?
• Peak Valley
y = mx + b
y = -30x + 1,200
• Southern Tier
y = mx + b
y = 40x + 500

45. Activity 4: Writing a System
YOU
• NECP has 400 students;
increasing by per year
500
• ECPS has 7,400
students; decreasing by
400 students per year
– In how many years will
the schools have the
same enrollment?
Year (x) NECP ECPS
0 400 7,400
1 7,000
2 1,400
3 6,200
4 5,800
5
6 5,000
7 5,400
8
9
10

46. Activity 4: Writing a System
• NECP has 400 students;
increasing by per year
500
• ECPS has 7,400
students; decreasing by
400 students per year
– In how many years will
the schools have the
same enrollment? (if
possible)
Year (x) NECP ECPS
0 400 7,400
1 900 7,000
2 1,400 6,600
3 1,900 6,200
4 2,400 5,800
5 2,900 5,400
6 3,400 5,000
7 3,900 4,600
8 4,300 4,200
9 4,800 3,800
10

47. Activity 4: Writing a System
• NECP has 400 students;
increasing by per year
500
• ECPS has 7,400
students; decreasing by
400 students per year
– In how many years will
the schools have the
same enrollment? (if
possible)
• YOU
• NECP
y = mx + b
y = _____x + _______
• ECPS
y = -mx + b
y = -_____x + _______

48. Activity 4: Writing a System
• NECP has 400 students;
increasing by per year
500
• ECPS has 7,400
students; decreasing by
400 students per year
– In how many years will
the schools have the
same enrollment? (if
possible)
• YOU
• NECP
y = mx + b
y = 500x + 400
• ECPS
y = -mx + b
y = -400x + 7,400

49. • Blue Workbook
– 71 – 73
– HW: Blue WB 74