QUARTER 2:
Standard 7.0 – Processes of Mathematics: Students demonstrate the processes of
mathematics by making connections and applying reasoning to solve problems and
to communicate their findings.
(These processes serve as the foundation for the delivery of all mathematics
content objectives.)
Objectives – The student will be able to:
a. Select and apply a variety of concepts, processes, and skills to solve
problems.
(Problem Solving)
b. Justify ideas or solutions with mathematical concepts or proofs. (Reasoning)
c. Present mathematical ideas using words, symbols, visual displays, or
technology. (Communication)
d. Relate or apply mathematics within the discipline, to other disciplines,
and to
life. (Connections)
Unit 3 – Algebra, Patterns, and Functions
Standard 1.0 – Students will algebraically represent, model, analyze, or solve
mathematical or real-world problems involving patterns or functional
relationships.
Objectives – The student will be able to:
a. Identify, extend, create, and describe a variety of numeric and non-numeric
patterns and generalize rules illustrated.
b. Interpret and write a rule for a function table involving one operation (+,
-, x, ÷ with no remainders).
c. Complete a function table involving one or two operations.
d. Create a function table with one operation to solve a real world problem.
e. Apply a given two-operation rule for a pattern.
f. Determine the rule for a pattern involving two operations and write the
rule in words or algebraic form.
g. Translate and evaluate situations into numerical and algebraic expressions.
h. Solve for the unknown in an equation using mental math and guess and check.
Unit 4 – Number Relationships and Computation (Fractions)
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.
Objectives – The student will be able to:
a. Connect whole numbers, decimals, fractions and mixed numbers to locations
on a number line.
b. Construct models using a variety of manipulatives to illustrate a fraction
for a region or part of a set.
c. Interpret a fraction as a representation of division.
d. Represent the relationship between fractions and decimals through models
and symbols.
e. Estimate the value of a fraction and a decimal as being close to 0, 1/2,
and 1 and indicate their placements on a number line.
f. Express a fraction as a terminating or repeating decimal through division
with annexing zeros in dividend.
g. Estimate and measure length and height using customary units.
h. Find factors and common factors of numbers.
i. Simplify fractions using the greatest common factor.
j. Find multiples, common multiples, and least common multiples (LCM) in order
to determine least common denominator (LCD).
k. Calculate equivalent fractions.
l. Rename mixed numerals as improper fractions and improper fractions as mixed
numerals.
m. Compare and order fractions, mixed numbers, decimals (through thousandths),
and percents on a number line.
n. Determine equivalent decimals.
o. Express a fraction as a decimal and percent, and a decimal as a fraction
and percent.
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. List all possible outcomes of independent events using organized lists and
tree diagrams.
b. State the probability of independent events for outcomes of equally likely,
more (or most) likely, less (least) likely, certain, and impossible.
c. Find the probability of an independent event and express as a fraction,
decimal, and percent.
d. Use theoretical probability to predict outcomes of an experiment.
e. Conduct an experiment and compare the results to predictions based on
theoretical probability.
f. Explore the analysis of given game situations (spinner, dice, cubes, etc.)
for fairness.
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. Collect data by conducting surveys to answer a question.
b. Analyze, interpret, construct, and make predictions (in oral and written
form) based on frequency tables, single and double bar graphs, line plots,
single and double line graphs, stem-and-leaf plots and back-to-back
stem-and-leaf plots, and circle graphs.
c. Describe the shape and important features of a data set (using the terms
cluster, range, and outlier).
d. Calculate the mean, median, and mode of a data set.
e. Interpret a data set based on the mean, mode, and range.
f. Determine the effect of outliers on the mean.
g. Recognize misuses of data and analyze misleading data representations.