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How Many of Each
Type of Problem Will
There Be?
NOTE: The number preceding, or right before, the
description tells how many of this type of problem
will be on the 5th grade Math CST exam.
Number Sense:
1 - Estimate, round, and manipulate very large
(e.g., millions) and very small (e.g.,
thousandths) numbers.
5 - Interpret percents as a part of a hundred;
find decimal and percent equivalents for common
fractions and explain why they represent the same
value; compute a given percent of a whole number.
1 - Understand and compute positive integer powers
of nonnegative integers; compute examples as
repeated multiplication.
3 - Determine the prime factors of all numbers
through 50 and write the numbers as the product of
their prime factors by using exponents to show
multiples of a factor (e.g., 24 = 2 x 2 x 2 x 3 =
23 x 3).
2 - Identify and represent on a number line
decimals, fractions, mixed numbers, and positive
and negative integers.
7 - Add, subtract, multiply, and divide with
decimals; add with negative integers; subtract
positive integers from negative integers; and
verify the reasonableness of the results.
3 - Demonstrate proficiency with division,
including division with positive decimals and long
division with multidigit divisors.
5 - Solve simple problems, including ones arising
in concrete situations, involving the addition and
subtraction of fractions and mixed numbers (like
and unlike denominators of 20 or less), and
express answers in the simplest form.
1 - Understand the concept of multiplication and
division of fractions.
1 - Compute and perform simple multiplication and
division of fractions and apply these procedures
to solving problems.
Algebra & Functions:
1 - Use information taken from a graph or equation
to answer questions about a problem situation.
6 - Use a letter to represent an unknown number;
write and evaluate simple algebraic expressions in
one variable by substitution.
1 - Know and use the distributive property in
equations and expressions with variables.
4 - Identify and graph ordered pairs in the four
quadrants of the coordinate plane.
5 - Solve problems involving linear functions with
integer values; write the equation; and graph the
resulting ordered pairs of integers on a grid.
Measurement & Geometry:
2.5 - Derive and use the formula for the area of a
triangle and of a parallelogram by comparing it
with the formula for the area of a rectangle
(i.e., two of the same triangles make a
parallelogram with twice the area; a parallelogram
is compared with a rectangle of the same area by
cutting and pasting a right triangle on the
parallelogram).
1/2 - Construct a cube and rectangular box from
two-dimensional patterns and use these patterns to
compute the surface area for these objects.
3 - Understand the concept of volume and use the
appropriate units in common measuring systems
(i.e., cubic centimeter [cm3], cubic meter [m3],
cubic inch [in3], cubic yard [yd3]) to compute the
volume of rectangular solids.
1 - Differentiate between, and use appropriate
units of measures for, two-and three-dimensional
objects (i.e., find the perimeter, area, volume).
3 - Measure, identify, and draw angles,
perpendicular and parallel lines, rectangles, and
triangles by using appropriate tools (e.g.,
straightedge, ruler, compass, protractor, drawing
software).
4 - Know that the sum of the angles of any
triangle is 180° and the sum of the angles of
any quadrilateral is 360° and use this
information to solve problems.
1 - Visualize and draw two-dimensional views of
three-dimensional objects made from rectangular
solids.
Statistics, Data-Analysis & Probability
1/3 - Know the concepts of mean, median, and mode;
compute and compare simple examples to show that
they may differ.
1/3 - Organize and display single-variable data in
appropriate graphs and representations (e.g.,
histogram, circle graphs) and explain which types
of graphs are appropriate for various data sets.
1/3 - Use fractions and percentages to compare
data sets of different sizes.
2.5 - Identify ordered pairs of data from a graph
and interpret the meaning of the data in terms of
the situation depicted by the graph.
1/2 - Know how to write ordered pairs correctly;
for example, (x, y). |
