Mathematics Grade 5 Gifted and Talented Ms. Danelle Houck's class
Unit 4 – Number Relationships and Computation (Fractions and Measurement)
Standard 6.0 – Number Relationships and Computation/Arithmetic
Students will describe, represent, or apply numbers or their relationships or
will estimate or compute using mental strategies, paper/pencil, or technology.
Standard 3.0 – Measurement
Students will identify attributes, units, or systems of measurements or apply
a variety of techniques, formulae, tools, or technology for determining
measurements.
Objectives – The student will be able to:
a. Express fractions as (terminating, repeating, or
non-terminating/non-repeating) decimals and decimals as fractions.
b. Explore the concept of rational vs. irrational numbers.
c. Compare and order fractions and mixed numbers mathematically and on a
number line.
d. Identify the least common multiple (LCM) and greatest common factor (GCF)
using prime factorization.
e. Estimate and calculate the sums and differences of fractions, whole
numbers, and mixed numbers in problem solving situations, expressing results
in simplest form.
f. Estimate and calculate the product of fractions, whole numbers, and mixed
numbers.
g. Explore the relationship between the fraction of a whole number and the
percent of a whole number.
h. Estimate and calculate the quotients of fractions, whole numbers, and mixed
numbers in problem solving situations, expressing results in simplest form.
i. Calculate equivalent units of length, capacity, and weight within the
customary system.
j. Calculate equivalent units of time.
k. Determine start, elapsed, and end time.
Unit 5 – Probability
Standard 5.0 – Students will use experimental methods or theoretical reasoning
to determine probabilities to make predictions or solve problems about events
whose outcomes involve random variation.
Objectives – The student will be able to:
a. Find the probability of independent events and express as a fraction,
decimal, or percent.
b. Compare the outcomes of theoretical probability with results of
experimental probability.
c. Determine the possible outcomes of independent events using an organized
list and tree diagram.
d. Express the probability of an event comprised of no more than two
independent events as a fraction, a decimal, or a percent.
e. Express the probability of a second event that is dependent on a first
event of equally likely outcomes as a fraction, a decimal, or a percent.
f. Describe the difference between independent and dependent events.
Unit 6 – Statistics
Standard 4.0 – Students will collect, organize, display, analyze, or interpret
data to make decisions or predictions.
Objectives – The student will be able to:
a. Analyze, interpret, construct, and make predictions (in oral and written
form) based on tables, frequency tables, stem-and-leaf plots, back-to-back
stem-and-leaf plots, line plots, double bar graphs, line graphs, double line
graphs, circle graphs, and histograms.
b. Determine the appropriate type of graph to effectively display data using
tables (frequency tables), single and double bar graphs, single and double
line graphs, stem-and-leaf plots, and line plots.
c. Describe the shape and important features of a data set (using terms such
as cluster, range, and outlier).
d. Calculate and interpret measures of central tendency (mean, median, and
mode) to interpret data sets.
e. Apply the range and measures of central tendency to solve a problem or
answer a question.
f. Determine the effect of an outlier on the mean.
g. Determine the effect of changes in a data set on the mean.
h. Interpret, organize, construct, and display data to make box-and-whisker plots.
