Use this chart to calculate BMI using height values in feet (inches) and weight in stone. This chart covers the BMI range, 19 to 35. Tech Lighting offers modern decorative chandeliers, pendants, ceiling, wall lighting, LED systems, recessed downlights & Outdoor for residential and commercial. The Keytty interface opens again after execution; Advanced Settings - Click the Keytty status bar icon menu - Advanced Settings - Click menu item to toggle the setting - Start with 'C' (center) the interface will automatically type 'C' when it is opened - Execute without Enter.
- Keytty 1 2 6 128
- Keytty 1 2 6 12 X 2
- Keytty 1 2 6 12 Utility Trailer
- Keytty 1 2 6 120
- Keytty 1 2 6 12 Equals
Standards in this domain:
Represent and solve problems involving addition and subtraction.
Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.1
Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
Understand and apply properties of operations and the relationship between addition and subtraction.
Apply properties of operations as strategies to add and subtract.2Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)
Understand subtraction as an unknown-addend problem. For example, subtract 10 - 8 by finding the number that makes 10 when added to 8.
Add and subtract within 20.
Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
Work with addition and subtraction equations.
Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 - 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = _ - 3, 6 + 6 = _.
1See Glossary, Table 1
2Students need not use formal terms for these properties.
| Trigonometric Identities |
| (Math | Trig | Identities) |
| sin(theta) = a / c | csc(theta) = 1 / sin(theta) = c / a |
| cos(theta) = b / c | sec(theta) = 1 / cos(theta) = c / b |
| tan(theta) = sin(theta) / cos(theta) = a / b | cot(theta) = 1/ tan(theta) = b / a |
Keytty 1 2 6 128
sin(-x) = -sin(x)csc(-x) = -csc(x)
Keytty 1 2 6 12 X 2
cos(-x) = cos(x)sec(-x) = sec(x)
cot(-x) = -cot(x)
| sin^2(x) + cos^2(x) = 1 | tan^2(x) + 1 = sec^2(x) | cot^2(x) + 1 = csc^2(x) |
| sin(x y) = sin x cos y cos x sin y | ||
| cos(x y) = cos x cosy sin x sin y |
tan(x y) = (tan x tan y) / (1 tan x tan y)
sin(2x) = 2 sin x cos x Transmit 5 fast and easy file transfers 5 6 2.
cos(2x) = cos^2(x) - sin^2(x) = 2 cos^2(x) - 1 = 1 - 2 sin^2(x)
Keytty 1 2 6 12 Utility Trailer
tan(2x) = 2 tan(x) / (1 - tan^2(x))
cot(-x) = -cot(x)
| sin^2(x) + cos^2(x) = 1 | tan^2(x) + 1 = sec^2(x) | cot^2(x) + 1 = csc^2(x) |
| sin(x y) = sin x cos y cos x sin y | ||
| cos(x y) = cos x cosy sin x sin y |
tan(x y) = (tan x tan y) / (1 tan x tan y)
sin(2x) = 2 sin x cos x Transmit 5 fast and easy file transfers 5 6 2.
cos(2x) = cos^2(x) - sin^2(x) = 2 cos^2(x) - 1 = 1 - 2 sin^2(x)
Keytty 1 2 6 12 Utility Trailer
tan(2x) = 2 tan(x) / (1 - tan^2(x))
sin^2(x) = 1/2 - 1/2 cos(2x)
cos^2(x) = 1/2 + 1/2 cos(2x)
sin x - sin y = 2 sin( (x - y)/2 ) cos( (x + y)/2 )
cos x - cos y = -2 sin( (x - y)/2 ) sin( (x + y)/2 )
| angle | 0 | 30 | 45 | 60 | 90 |
|---|---|---|---|---|---|
| sin^2(a) | 0/4 | 1/4 | 2/4 | 3/4 | 4/4 |
| cos^2(a) | 4/4 | 3/4 | 2/4 | 1/4 | 0/4 |
| tan^2(a) | 0/4 | 1/3 | 2/2 | 3/1 | 4/0 |
Keytty 1 2 6 120
a/sin(A) = b/sin(B) = c/sin(C) (Law of Sines)
Keytty 1 2 6 12 Equals
| (Law of Cosines) |
(a - b)/(a + b) = tan [(A-B)/2] / tan [(A+B)/2] (Law of Tangents)
