Download Unit 3 Study Guide

Unit 3 Study Guide
Standard Learning Target
I can apply the properties of operations as
7.EE.1
strategies to add, subtract, factor, and expand
linear expressions with rational coefficients.
Example:
7.EE.2
Simplify the expression: 5x + 2x + 8 + 9y -3y
Factor the expression: 10x + 2
I can use equivalent expressions to understand
the relationships between quantities.
Example:
8.EE.1
(a) + (0.05a) = (1.05a) means that “increase by
5%“ is the same as “multiply by 1.05.”
I can use the properties of integer exponents to
simplify expressions.
Example:
8.EE.2
32 x 3−5 = 3−3 = 1/ 33 = 1/27
I can recognize taking a square root as the
inverse of squaring a number.
Example:
2
√16 = 4 and 42 = 16
I can recognize taking a cube root as the inverse
of cubing a number.
Example:
3
√27 = 3 and 33 = 27
I can evaluate the square root of a perfect
square.
Example:
2
√25 = 5 and 25 is a “perfect square”
I can evaluate the cube root of a perfect cube.
Example:
3
√64 = 4 and 64 is a “perfect cube”
I can justify that the square root of a non-perfect
square will be irrational.
Example:
The √2 is irrational because it does not
terminate and there is no pattern to the decimal
equivalent.
Vocabulary
Notes/Examples
8.EE.3
I can write an estimation of a large quantity by
expressing it as the product of a single-digit
number and a positive power of ten.
Example:
3,000,000 = 3 x 106
I can write an estimation of a very small
quantity by expressing it as a product of a single
digit number and a negative power of ten.
Example:
0.000003 = 3 x 10−6
I can compare quantities written as a product of
a single-digit number and a power of ten by
stating their multiplicative relationships.
Example:
8.EE.4
Estimate the population of the United States as
3 times 108 and the population of the world as 7
times 109 , and determine that the world
population is more than 20 times larger.
I can add and subtract two numbers written in
scientific notation.
Example:
7 x 106 + 5.2 x 104
15 x 108 – 2.3 x 106
I can multiply and divide two numbers written
in scientific notation.
Example:
(3 x 104)(2x 105)
(6 x 106) ÷ (2 x 103)
I can select the appropriate units for measuring
derived measurements when comparing
quantities written in scientific notation.
Example:
Use millimeters per year for seafloor spreading.