EISENHOWER HIGH SCHOOL
Math
Online CAHSEE Support
Welcome to the CAHSEE 30-DAY CHALLENGE
MATH OCS (Online CAHSEE Support)
EHS Math teachers have given their students specific information
to help them identify the areas that need more practice.
Students - Select the link that matches the standard you received
from your teacher to practice!!
Grade
6—Statistics, Data Analysis, and Probability
1.1 Compute
the range, mean, median, and mode of data
sets. (3)
2.5 Identify
claims based on statistical data and, in simple cases, evaluate the validity of
the claims. (1)
3.1 Represent
all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical
probability of each outcome. (1)
3.3 Represent
probabilities as ratios, proportions, decimals
between 0 and 1, and percentages between 0 and 100 and verify that the probabilities
computed are reasonable; know that if P is the probability of an event, 1-P is
the probability of an event not occurring. (2)
3.5 Understand
the difference between independent and dependent events. (1)
Grade
7—Number Sense
1.2 Add, subtract, multiply,
and divide rational numbers (integers,
fractions, and terminating decimals) and take positive rational numbers to
whole-number powers. (3)
1.3 Convert
fractions to decimals and percents and use these
representations in estimations, computations,
and applications. (2)
1.6 Calculate
the percentage of increases
and decreases of a quantity. (1)
1.7 Solve
problems that involve discounts,
markups, commissions, and profit, and compute simple
and compound
interest. (2)
2.1 Understand
negative whole-number exponents. Multiply
and divide expressions involving exponents
with a common base. (1)
2.2 Add
and subtract fractions by using factoring to
find common denominators. (1)
2.3 Multiply,
divide, and simplify rational numbers by using exponent
rules. (1)
2.4 Use
the inverse relationship between raising to a power and extracting the root
of a perfect square integer; for an integer that is
not square, determine
without a calculator the two integers between which its square root lies and explain why. (1)
2.5 Understand
the meaning of the absolute value of a number;
interpret the absolute value as the distance of the number from zero on a
number line; and determine the absolute value of real numbers. (1)
Grade
7—Algebra and Functions
1.1 Use
variables and appropriate operations to write
an expression, an equation, an inequality, or a
system of equations or inequalities that represents a verbal description (e.g.,
three less than a number, half as large as area A). (2)
1.2 Use
the correct order of operations to evaluate
algebraic expressions such as 3(2x +5)2. (1)
1.5 Represent
quantitative relationships graphically and
interpret the meaning of a specific part of a graph in the situation
represented by the graph. (3)
2.1 Interpret
positive whole-number powers as repeated
multiplication and negative whole-number powers as repeated division or
multiplication by the multiplicative inverse. Simplify and evaluate expressions
that include exponents. (1)
2.2 Multiply
and divide monomials; extend the process of taking
powers and extracting roots to monomials when the latter results in a monomial
with an integer exponent. (1)
3.1 Graph
functions of the form
y=nx2 and y=nx3 and use in solving problems. (1)
3.3 Graph
linear functions, noting that the vertical
change (change in y- value) per unit of
horizontal change (change in x-value) is always the same and know that the
ratio (“rise over run”) is called the slope
of a graph. (2)
3.4 Plot
the values of quantities whose ratios are always
the same (e.g., cost to the number of an item, feet to inches, circumference to
diameter of a circle). Fit a line to the plot and understand that the slope of
a line equals the quantities. (1)
4.1 Solve
two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution
or solutions in the context from which they arose, and verify the
reasonableness of the results. (3)
4.2 Solve
multistep problems involving rate, average
speed, distance, and time or a direct variation. (2)
Grade
7—Measurement and Geometry
1.1 Compare
weights, capacities, geometric measures, times, and
temperatures within and between measurement systems (e.g., miles per hour and
feet per second, cubic inches to cubic centimeters). (2)
1.2 Construct
and read drawings and models made to scale. (1)
1.3 Use
measures expressed as rates (e.g., speed, density)
and measures expressed as products (e.g., person-days) to solve problems; check
the units of the solutions; and use dimensional analysis to check the
reasonableness of the answer. (2)
2.1 Use
formulas routinely for finding the perimeter and area of basic two- dimensional figures and the surface area and volume of basic
three- dimensional figures, including rectangles,
parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders.
(3)
2.2 Estimate
and compute the area
of more complex or irregular
two- and three-dimensional figures by breaking the
figures down into more basic geometric objects. (2)
2.3 Compute
the length of the perimeter, the surface area of the
faces, and the volume of a three-dimensional object built from rectangular
solids. Understand that when the lengths of all dimensions are multiplied by a
scale factor, the surface area is multiplied by the square of the scale factor
and volume is multiplied by the cube of the scale factor. (1)
2.4 Relate
the changes in measurement with a change of scale to the units used (e.g.,
square inches, cubic feet) and to conversions between units (1square foot = 144
square inches or [1 ft2] = [144 in2], 1 cubic inch is approximately 16.38 cubic
centimeters or [1 in3] = [16.38 cm3]). (1)
3.2 Understand
and use coordinate graphs to plot simple
figures, determine lengths and areas
related to them, and determine their image under translations and reflections. (2)
3.3 Know
and understand the Pythagorean
theorem and its converse and use it to
find the length of the missing side of a right triangle and the lengths of
other line segments and, in some situations, empirically verify the Pythagorean
theorem by direct measurement. (2)
3.4 Demonstrate
an understanding of conditions that indicate two geometrical figures are
congruent and what congruence
means about the relationships between the
sides and angles of the two figures. (1)
Grade
7—Statistics, Data Analysis, and Probability
1.1 Know
various forms of display for data sets, including a stem-and-leaf
plot or box-and-whisker
plot; use the forms to display a single set of data or to
compare two sets of data. (2)
1.2 Represent
two numerical variables on a scatterplot and
informally describe how the data points are distributed and any apparent
relationship that exists between the two variables (e.g., between time spent on
homework and grade level). (2)
Algebra I
2.0 Students
understand and use such operations as taking
the opposite, finding the reciprocal, and taking a root, and raising to a fractional power. They
understand and use the rules of exponents. (1)
3.0 Students
solve
equations and inequalities
involving absolute values. (1)
4.0 Students
simplify expressions before solving linear
equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12. (2)
5.0 Students
solve multistep problems, including word problems, involving linear
equations and linear
inequalities in one variable and provide
justification for each step. (1)
6.0 Students
graph a linear equation and compute the x-
and y-intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality
(e.g., they sketch the region defined by 2x + 6y < 4). (2)
7.0 Students
verify
that a point lies on a line, given an equation of
the line. Students are able to derive linear equations. by using the point-slope formula. (1)
8.0 Students
understand
the concepts of parallel lines and perpendicular lines and how
their slopes are related. Students are able to find
the equation of a line perpendicular to a given line that passes through a
given point. (1)
9.0 Students
solve
a system of two linear equations in two
variables algebraically and are
able to interpret the answer graphically. Students
are able to solve a system of two linear
inequalities in two variables and to sketch the
solution sets. (1)
10.0 Students
add,
subtract and multiply,
and divide monomials and polynomials. Students solve multistep problems, including word problems, by
using these techniques. (1)