If you're seeing this message, it means we're having trouble loading external resources on our website.

Pokud používáš webový filtr, ujisti se, že domény: *.kastatic.org and *.kasandbox.org jsou vyloučeny z filtrování.

Hlavní obsah

STANDARDS

 > 

US-SC

Math

South Carolina Math

Grade 8: Expressions, Equations, and Inequalities

8.EEI.1

Fully covered
Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents.

8.EEI.2

Investigate concepts of square and cube roots.

8.EEI.2a

Fully covered
Find the exact and approximate solutions to equations of the form x^2=p and x^3=p where p is a positive rational number.

8.EEI.2b

Mostly covered
Evaluate square roots of perfect squares.

8.EEI.2c

Mostly covered
Evaluate cube roots of perfect cubes.

8.EEI.2d

Fully covered
Recognize that square roots of non-perfect squares are irrational.

8.EEI.3

Explore the relationship between quantities in decimal and scientific notation.

8.EEI.3a

Fully covered
Express very large and very small quantities in scientific notation in the form a x 10^b = p where 1≤a<10 and b is an integer.

8.EEI.3b

Fully covered
Translate between decimal notation and scientific notation.

8.EEI.3c

Fully covered
Estimate and compare the relative size of two quantities in scientific notation.

8.EEI.4

Apply the concepts of decimal and scientific notation to solve real-world and mathematical problems.

8.EEI.4a

Partially covered
Multiply and divide numbers expressed in both decimal and scientific notation.

8.EEI.4b

Fully covered
Select appropriate units of measure when representing answers in scientific notation.

8.EEI.4c

Fully covered
Translate how different technological devices display numbers in scientific notation.

8.EEI.5

Apply concepts of proportional relationships to real-world and mathematical situations.

8.EEI.5a

Fully covered
Graph proportional relationships.

8.EEI.5b

Fully covered
Interpret unit rate as the slope of the graph.

8.EEI.5c

Not covered
Compare two different proportional relationships given multiple representations, including tables, graphs, equations, diagrams, and verbal descriptions.
(Content unavailable)

8.EEI.6

Apply concepts of slope and y-intercept to graphs, equations, and proportional relationships.

8.EEI.6a

Fully covered
Explain why the slope, m, is the same between any two distinct points on a non-vertical line using similar triangles.
(Content unavailable)

8.EEI.6b

Fully covered
Derive the slope-intercept form (y=mx+b) for a non-vertical line.

8.EEI.6c

Not covered
Relate equations for proportional relationships (y=kx) with the slope-intercept form (y=mx+b) where b=0.
(Content unavailable)

8.EEI.7

Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations.

8.EEI.7a

Not covered
Solve linear equations and inequalities with rational number coefficients that include the use of the distributive property, combining like terms, and variables on both sides.
(Content unavailable)

8.EEI.7b

Not covered
Recognize the three types of solutions to linear equations: one solution (x=a), infinitely many solutions (a=a), or no solutions (a=b).
(Content unavailable)

8.EEI.7c

Fully covered
Generate linear equations with the three types of solutions.

8.EEI.7d

Not covered
Justify why linear equations have a specific type of solution.
(Content unavailable)

8.EEI.8

Investigate and solve real-world and mathematical problems involving systems of linear equations in two variables with integer coefficients and solutions.

8.EEI.8a

Fully covered
Graph systems of linear equations and estimate their point of intersection.

8.EEI.8b

Fully covered
Understand and verify that a solution to a system of linear equations is represented on a graph as the point of intersection of the two lines.

8.EEI.8c

Not covered
Solve systems of linear equations algebraically, including methods of substitution and elimination, or through inspection.
(Content unavailable)

8.EEI.8d

Fully covered
Understand that systems of linear equations can have one solution, no solution, or infinitely many solutions.