Download 8th-standards

8th GRADE
STANDARD 1 – MATHEMATICAL PROCESSES
SPI 806.1.1 Solve problems involving rate/time/distance
(All contextual problems)
1. Set up like a proportion
2. Involves changing units of time. (hours to minutes)
3. Decide what information is needed to solve for time.
4. Multi-step using the formula twice.
SPI 806.1.2 Interpret a qualitative graph representing a contextual
situation.
1. Given a bar graph pick the true statement.
2. Calculate a percentage from a bar graph to apply to a given situation.
3. Read a line-graph both from both the x and y-axis.
SPI 806.1.3 Calculate rates involving cost per unit to determine the best
buy.
All problems are straight forward. Questions ask for best buy and least
expensive.
STANDARD 2 – NUMBERS & OPERATIONS
SPI 806.2.1 Order and compare rational and irrational numbers and
locate on the number line.
1. Locate a square root on the number line.
2. Understand/approximate a square root answer.
3. Compare fractions and decimals and pick out greatest or least.
4. Order fractions, decimals, powers and percents
5. Given 2 fractions, pick a percent that is between them.
SPI 806.2.2 Identify numbers and square roots as rational or irrational.
1. Pick which number is rational and which is irrational.
2. Given numbers in a set, in a table, or in a formula, pick rational and
irrational numbers.
SPI 806.2.3 Use scientific notation to compute products and quotients.
1. Straight forward problems and leave the answer in scientific notation.
2. Multi-step problems. Multiply then divide.
3. Pick the expanded expression that represents the method to multiply
or divide using scientific notation.
SPI 806.2.4 Solve real-world problems requiring scientific notation.
1. Know when to multiply or divide given a contextual problem.
2. Change units of measure with scientific notation. (Change meters per
hour to kilometers per hour.)
STANDARD 3 – ALGEBRA
SPI 806.3.1 Find solutions to systems of 2 linear equations in 2
variables.
1. Given the 2 equations just solve. Pick the ordered pair.
2. Given the graph of 2 equations pick the answer.
3. From a contextual problem, write and solve a system of equations.
SPI 806.3.2 Solve the linear equation f(x) = g(x).
1. Given the 2 equations, set equal to each other and solve.
2. Given the 2 equations, set equal to each other and solve like a
proportion.
SPI 806.3.3 Solve and graph linear inequalities in 2 variables.
1. Rewrite the inequality and pick the equivalent form. (y = mx+b)
2. Given the graph, pick the system of inequalities.
3. Pick an ordered pair that satisfies the system of inequalities.
4. Pick the graph that goes with an inequality.
SPI 806.3.4 Translate between various representations of a linear
function.
1. Given a table, pick the equation.
2. From a word problem, pick the equation.
3. Given a line graph, pick the statement that describes the line.
SPI 806.3.5 Determine the slope of a line from an equation, 2 points, a
table or a graph.
All problems straightforward. The equation can be in standard or slopeintercept.
SPI 806.3.6 Analyze the graph of a linear function to find solutions and
intercepts.
1. Given the graph of a line, pick the equation.
2. Understand what the x and y-intercept mean.
3. Given the graph of a line, state the intercepts.
SPI 806.3.7 Identify, compare and contrast functions as linear or
nonlinear.
1. Given the equation identify.
2. Given the graph identify.
COMMON CORE:
1. Define, evaluate, and compare functions.
2. Understand the connections between
proportional relationships, lines, and linear
equations.
STANDARD 4 0 GEOMETRY & MEASUREMENT
SPI 806.4.1 Use the Pythagorean Theorem to solve contextual
problems.
1. Given a contextual problem, with and without the drawing, find any
missing part of the right triangle.
2. Given a picture, pick the equation that matches.
3. Use the Pythagorean Theorem to approximate a distance.
SPI 806.4.2 Apply the Pythagorean Theorem to find distances between
points in the coordinate plane to measure lengths and analyze polygons
and polyhedral.
1. Determine how much shorter the length of the hypotenuse is than the
sum of the 2 legs. Student must understand what to calculate.
2. Straightforward distance problems.
3. Understand that the hypotenuse is the shorter distance from point A to
point B.
SPI 806.4.3 Find measures of the angles formed by parallel lines cut by
a transversal.
1. Given parallel lines and the measure of any given angle, find any
other angle.
2. Understand how to name angles using 3 letters and which angles are
and are not congruent given parallel lines.
3. Understand the names of congruent angles formed using parallel lines
and a transversal.
SPI 806.4.4 Convert between and within the U.S. Customary System
and the metric system.
1. Convert a given number of days to hours.
2. Convert within the metric system.
3. Convert from U.S. to metric given the conversion rate.
4. Convert a given number of yards to feet.
5. Given formula, convert from Celsius to Fahrenheit.
SPI 806.4.5 Identify the intersection of two or more geometric figures in
the plane.
1. Given 2 figures, pick the maximum number of intersections.
2. Given a specific number of intersections, pick which shapes would
have that many.
3. Understand the difference in basic geometric terms such as line
segment, plane, lines, angles, etc.
STANDARD 5 – DATA ANALYSIS, STATISTICS, & PROBABILITY
SPI 806.5.1 Calculate probabilities of events for simple experiments
with equally probably outcomes.
1. Find the probability of rolling a given number on a number cube.
2. Find the probability of landing on a consonant or vowel on a spinner.
3. Find the probability of choosing a certain color marble from a bag.
4. Find the probability of landing on a heads or tails from a coin toss.
5. Find the probability of picking a certain card from given amount.
SPI 806.5.2 Use a variety of methods to compute probabilities for
compound events.( e.g. multiplication, organized lists, tree diagrams,
area models).
1. Given a table showing all possible outcomes of rolling two number
cubes, find the probability of getting a certain sum.
2. Find any probability of tossing any number of coins. E.g. tossing 4
coins and all landing on tails.
3. Find probabilities using a deck of cards in combination with tossing a
coin. (Must explain to students the types of cards in a deck of 52!)
4. Find any probability from a menu selection.
SPI 806.5.3 Generalize the relationship between two sets of data using
scatterplots and lines of best fit.
1. Interpret the meaning of given scatterplots.
2. Understand the correlation relationship in a scatterplot.