1. AT THE START OF CLASS --- You should HAVE OUT:
1. PENCIL and ERASER,
2. HAVE OUT YOUR RULER!
3. Also have out your Homework!
PLEASE BE QUIET AFTER THE BELL RINGS!

2. Begin work on Math Survey Worksheet
Class/Homework (9/12)
Finish: “Patterns and Equations” Worksheet A– especially A3.
Begin work on Math Survey Worksheet

3. Pattern A3 Item in Pattern is i; number of squares equals n.
1 t-table A3
i n difference 1 2 5 10 2 4 6 +2
10 (2 x 5)
20 (2 x 10)
(2 x 100)

4. Pattern A3 Item in Pattern is i; number of squares equals n.
1 t-table A3
i n 10
100
10,000
100,000
,000,000
n =
(Equation A3)
20 (2 x 10)
200 (2 x 100)
2000 (2 x 1000)
20,000 (2 x 10,000)
200,000 (2 x 100,000)
2,000,000 (2 x 1,000,000) 2i

5. Graph A2 & A3
t-table A2 t-table A n
i n i n
n = n = i
(Equation A2) (Equation A3) 12 10 8 6 4 2 5 10 15 25 50
500 5i 2 4 6 10 20
200 2i

6. “4-Fold Way” HEADING 5?? Name________________ “Danny Dana” 9/13
Student Class I.D.#_____
Name________________
Patterns and Equations
Worksheet B Date__________
Math 7 - Dequer
“Danny Dana”
9/13
“4-Fold Way”

7. Pattern B1 Item in Pattern is i; number of squares equals n.
1 t-table B1
i n differences 1 2 4 5 4 7 10
(1 x 3 = 3 + 1)
(2 x 3 = 6 + 1)
(3 x 3 = 9 + 1)
(4 x 3 = )
(5 x 3 = )
(10 x 3 = ) +3 13 16 31

8. Pattern B1 Item in Pattern is i; number of squares equals n.
1 t-table B1
i n 10
100
10,000
100,000
3 1,000,000
n =
(Equation B1) 31
301
3001
30,001
300,001
3,000,001
3i + 1
(10 x 3 = )
(100 x 3 = )
(1000 x 3 = )
(10,000 x 3 = 30, )
(100,000 x 3 = 300, )
(1,000,000 x 3 = 3,000, )

9. Graph B1 i n 3 4 7 4 10 5 13 16 n = 3i + 1 1 2 i t-table B1 n 12 10 8
(Equation B1) 12 10 8 6 4 2 4 7 10 13 16
3i + 1 i

10. HEADING (Reminder - Math 7 is basically Pre-Algebra.
5??
Student Class I.D.#_____
Name________________
Patterns and Equations
Worksheet B Date__________
Math 7 – Dequer
(Reminder - Math 7 is basically Pre-Algebra.
We’re trying to get you ready for Algebra 1!)
“Danny Dana”
9/13

11. Pattern B2 Item in Pattern is i; number of squares equals n.
1 t-table B2
i n difference 1 2 5 10
Try on your own.
Do NOT do B3! 3 8 13
(1 x 5 = 5 - 2)
(2 x 5 = )
(3 x 5 = ) +5
(5 x 5 = )
(10 x 5 = )
(100 x 5 = ) 23 48
498
Have out Dana Planner and Assignment Sheet 1-2!

12. Pattern B2 Item in Pattern is i; number of squares equals n.
1 t-table B2
i n change 10
100
10,000
100,000
,000,000
n =
(Equation B2)
48 (5 x 10 = 50 – 2 )
498 (5 x 100 = 500 – 2 )
4998 (5 x 1000 = 5000 – 2 )
49,998 (5 x 10,000 = 50,000 – 2 )
499,998 (5 x 100,000 = 500,000 – 2 )
4,999,998 (5 x 1,000,000 = 5,000,000 – 2 )
5i - 2

13. Graph B2 i n 3 3 8 13 n = 5i - 2 1 2 i t-table B2 n 12 10 8 6
(Equation B1) 12 10 8 6 4 2 3 8 13
5i - 2 i

14. HEADING 5?? Name________________ “Danny Dana” 9/13
Student Class I.D.#_____
Name________________
Patterns and Linear Equations
Worksheet C Date__________
Math 7 - Dequer
“Danny Dana”
9/13

15. Pattern C1 Algebraic Notation
1 t-table C1
x y differences 1 2 4 5 5 8 11
(1 x 3 = 3 + 2)
(2 x 3 = 6 + 2)
(3 x 3 = 9 + 2)
(4 x 3 = )
(5 x 3 = )
(10 x 3 = ) +3 14 17 32

16. Pattern C1 Algebraic Notation
1 t-table C1
x y 10
100
10,000
100,000
3 1,000,000
y =
(Equation C1) 32
302
3002
30,002
300,002
3,000,002
3x + 2
(10 x 3 = )
(100 x 3 = )
(1000 x 3 = )
(10,000 x 3 = 30, )
(100,000 x 3 = 300, )
(1,000,000 x 3 = 3,000, )

17. Graph C1 x y 3 5 8 4 11 5 14 17 y = 3x + 2 1 2 x t-table C1 y 12 10 8
(Equation C1) 12 10 8 6 4 2 5 8 11 14 17
3x + 2 x

18. HEADING 5?? Name________________ “Danny Dana” 9/13
Student Class I.D.#_____
Name________________
Patterns and Linear Equations
Worksheet C Date__________
Math 7 - Dequer
“Danny Dana”
9/13

19. Pattern C2 Algebraic Notation
1 t-table C2
x y change 1 2 5 10
Try on your own.
Do NOT do C3! 3 9 15
(1 x 6 = 6 - 3)
(2 x 6 = )
(3 x 6 = ) +6
(5 x 6 = )
(10 x 6 = )
(100 x 6 = ) 27 57
597

20. Pattern C2 Item in Pattern is x; number of squares equals y.
1 t-table C2
x y
100
10,000
100,000
,000,000
y =
(Equation C2)
57 (6 x 10 = 60 – 3 )
597 (6 x 100 = 600 – 3 )
5997 (6 x 1000 = 6000 – 3 )
59,997 (6 x 10,000 = 60,000 – 3 )
599,997 (6 x 100,000 = 600,000 – 3 )
5,999,997 (6 x 1,000,000 = 6,000,000 – 3 )
6x - 3

21. Graph C2 x y 3 3 9 15 y = 6x - 3 1 2 x t-table C2 y 12 10 8 6
(Equation C2) 12 10 8 6 4 2 3 9 15
6x - 3 x

22. Work on Math Survey. Class/Homework (9/13)
Finish“Patterns and Linear Equations” Worksheet B & C – especially B3 & C3.
Work on Math Survey.