1. Math Benchmark
Corrections

2. Reporting Category 2 - Algebra
You can estimate: $20 for 2 pounds and $10 for 1 pound.
8.50 .
2.6
22.10 26
221.0
-208
First move the decimal: Over, Over, Up
13 0
-13 0

3. Reporting Category 3 - Geometry
𝑮𝒓𝒆𝒆𝒏 𝒀𝒆𝒍𝒍𝒐𝒘 = 𝒀𝒆𝒍𝒍𝒐𝒘 𝑹𝒆𝒅
𝑮𝒓𝒆𝒆𝒏 𝑮𝒓𝒆𝒆𝒏 = 𝑹𝒆𝒅 𝒀𝒆𝒍𝒍𝒐𝒘
𝑮𝒓𝒆𝒆𝒏 𝑩𝒍𝒖𝒆 = 𝒀𝒆𝒍𝒍𝒐𝒘 𝑹𝒆𝒅
𝑮𝒓𝒆𝒆𝒏 𝑮𝒓𝒆𝒆𝒏 = 𝑩𝒍𝒖𝒆 𝑩𝒍𝒖𝒆

4. Reporting Category 1 - Probability
Number Cube =
Coin will land: Heads or Tails
5 6
H5 H6
T5 T6 H T

5. Reporting Category 2 - Algebra
5x + 6 = 1
5x = -5
x = -1

6. Reporting Category 4 – Data Analysis
Find Total: 15 12 10
+18 55 18 15 12 10
= 25 and 25/55 = 45%
= 22 and 22/55 = 40%

7. Reporting Category 3 - Geometry48
x 4
192
Square
A = bh
A = (12)(12)
A = 144 ft2 48 48
144 48
Triangle
A = ½ bh
A = ½ (12)(8)
A = 6(8) = 48 ft2 48
144
+192
336

8. Reporting Category 4 – Personal Finance
I = prt
I = $45,580(0.04)(1)
I = $1,823.20

9. Reporting Category 2 - Algebra
32($1.40) + 32($0.59)
$ $18.88 = $63.68
$80.00
She had $80 to spend.
She spent $63.68
$16.32

10. Reporting Category 3 - Geometry
Diameter is 22 meters
C ≈ 66

11. Reporting Category 1 - Probability
You must get a total so that
you can write a fraction.
Total = 10 cans
P(Tomato, Cheese)
2 10 𝑥 2 10
1 5 𝑥 =

12. Reporting Category 2 - Algebra
Time Distance
1 hr km
2 hrs km
3 hrs km
4 hrs km

13. Reporting Category 4 – Personal Finance
$35 x 0.15 = $5.25 off
$35 - $5 = $30
𝟏 𝟓 of 35 = $7 off
$ $5.25 = $29.75
$ $7.00 = $28.00
$35 - $5 = $30

14. Reporting Category 2 - Algebra

15. Reporting Category 3 - Geometry
Triangle: A = 1 2 bh
A = 1 2 (6)(4)
= 3(4)
V = Bh
B = Base Area
V = 12(16) 12
V = 192

16. Reporting Category 2 - Algebra
4x = 288 /
__ ___ / 6 24 1 4 x
288
Grams
Fluid oz.
x = 72

17. Reporting Category 3 - Geometry
Shaded Area= Large rectangle minus small rectangle
Large Rectangle:
A=bh
= 4.75(4)
= 19.00
3 𝟏 𝟒 𝒊𝒏
19 – 8 = 11
2 𝟏 𝟐 𝒊𝒏
Small Rectangle:
A=bh
= 3.25(2.5)
= 8.125
4 in
4 𝟑 𝟒 𝒊𝒏.

18. Reporting Category 4 – Data Analysis
17 – 5 = 12
15 – 6 = 9
Yes, 9 < 12
No, Mr. Bonham’s is more symmetrical.
No, 11 < 10
No, Mr. Bonham’s is greater.

19. Reporting Category 3 - Geometry
100x = 604
___ ___
Inch
Feet 1
100 x
604
x = 6.04

20. Reporting Category 3 - Geometry
z = 180 z
z + 84 = 180
42°
42°

21. Reporting Category 2 - Algebra
x + 3x = 144
1x + 3x = 144
4x = 144
x = 36

22. Reporting Category 2 - Algebra
First subtract:
= 7
Second Multiply:
$ 14.60 x
$102.20

23. Reporting Category 1 - Probability
There are 2 boxes with 2 defective lightbulbs.
1 box will have 1 defective lightbulb.
2 boxes had 2 defective lightbulbs.
3 boxes will have 3 defective lightbulbs boxes will have 4 defective lightbulbs.

24. Reporting Category 2 - Algebra
Replace x with -6 and solve.
-5 – 3(-6) > 10
-5 – (-18) > 10
> 10
13 > 10

25. Reporting Category 3 - Measurement
1 foot = 12 inches
5 feet = 60 inches
60 in + 4 in = 64 in.
Chloe is 64 inches tall.
2.54 1 x 64 cm
inches
2.54 cm = 1 inch.
2.54
x 64
162.56

26. Reporting Category 2 - Algebra
1.75
x 8
14.00

27. Reporting Category 1 - Probability
Total = 20 marbles
P(Green or Black) = 7 20 7 20 x
100 x5

28. Reporting Category 2 - Algebra
y = mx + b
b is the number on the Y axis
Slope means you rise 3 spaces and run 1 space from the first point.
y = mx + 3
m is Slope
𝑹𝒊𝒔𝒆 𝑹𝒖𝒏 = 𝟑 𝟏

29. Reporting Category 4 – Personal Finance
Assets minus Liabilities = Net Worth
$ 107,550
- 20,525
$ 87, 025

30. Reporting Category 1 – Numerical Representations
Integers are positive numbers and their opposites including zero.
Rational
Integer I -5
All Rational Numbers

31. Reporting Category 2 - Algebra
2x = 27(0.5) 27 2 x .5
Miles
hour
2x = 13.5
x = 6.75
Estimate: 28 miles in 2 hours
14 miles in 1 hour
7 miles in ½ hour

32. Reporting Category 3 - Geometry
V = 1 3 Bh
V = (12)
V = 1 3 (1200)
B = 100
B = Base Area
V =400
B = 10 x 10

33. Reporting Category 1 - Probability
4 9 0 7 10 x
700
x70

34. Reporting Category 3 - Geometry
A = 𝜋r2
A = 3(15)(15)
A = 45(15)
Diameter=30 in
Radius=15 in
A = 675 𝑖𝑛2

35. Reporting Category 2 - Algebra
Month Paid
$32
$64
$96
$128

36. Reporting Category 3 - Geometry
A = 1 2 bh
A = 1 2 𝜋r2
A = bh
A = (4)
A =
r=2
A = 6(4)
A = 24 cm2
4 cm
A =
A = 2(4)
A=6 cm2
A=8 cm2
A =
= 38 cm2

37. Reporting Category 4 – Data Analysis
12% - 10% = 2%
2% of 24 hrs
.02 x 24 24
x .02
0.48

38. Reporting Category 2 - Algebra
𝟏 𝟖 𝒙 𝟒𝟎=𝟓 21
𝟐 𝟓 𝒙 𝟒𝟎=𝟏𝟔
40 – 21 = 19

39. Reporting Category 4 – Personal Finance $ x $

40. Reporting Category 3 - Geometry
V = Bh
1360=160h
8.5 = h

41. Reporting Category 1 - Probability
P(not odd)
P(even)

42. Reporting Category 2 - Algebra
n=new u=used
55n + 12u = y
55(3) + 12u = y
u = y

43. Reporting Category 3 - Geometry
𝟏𝟐÷𝟔 𝟑𝟎÷𝟔 = 𝟐 𝟓 x / 2 5 2 5 16 x 12 30 16 x x8

44. Reporting Category 4 – Personal Finance
10% = = 1 10
10% = 0.10
20% = 0.20
20% = 2 10
25% = 0.25
25% = 1 4
50% = 0.50
50% = 1 2
$50+100=$150
10% of $800 = $80
$275
25% of $800 = $200
$200
20% of $800 = $160
50% of $800 = $400
$ =$400

45. Reporting Category 2 - Algebra
2x + 2 = -52
2x = -54
x = -27

46. Reporting Category 1 - Probability
18 > (4+11+8)
18 > 23
4=8=18
8 = 2(4)
11 x 7 = 77

47. Reporting Category 3 - Geometry
diameter = 6
d = 6
radius = 3
A = 𝜋r2
A = 3(3)2
A = 3(9)
A = 27

48. Reporting Category 2 - Algebra
Remember: Input / Output Tables
Remember:
0.5x means half
Of the number.

49. Reporting Category 2 - Algebra
𝑫𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝑶𝒓𝒊𝒈𝒊𝒏𝒂𝒍 = 𝒏 𝟏𝟎𝟎
Percent of Change:
𝟓𝟎 𝟐𝟓𝟎 = 𝒏 𝟏𝟎𝟎
𝟓 𝟐𝟓 = 𝒏 𝟏𝟎𝟎 x4

50. Reporting Category 3 - Measurement
5x = 82 / cm km 4 20 1 5 x 82
x = 16.4

51. Reporting Category 2 - Algebra
h = hot dogs
3h + 2 < 14

52. Reporting Category 4 – Data Analysis
Range
8 – 0 = 8
Range
6 – 0 = 6
6 > 8 No
1=1

53. Reporting Category 3 - Geometry
Triangle
A = bh
Find the area of the whole triangle instead
of small sections.
A = (2) / m
A = 5.5
1 m
b =
b = 5.5

54. Reporting Category 1 - Probability
Total = 18 books
3 18
÷𝟑 ÷𝟑
= 1 6
P (adventure book) =
Write a fraction and simplify.

55. Reporting Category 2 - Algebra
x y
Hours Miles

56. Questions? Comments? ?