MSAD #55
Mathematics
Benchmarks/Performance
Indicators
Math
Skills
Grade
3
11-06
A. Students
will understand and demonstrate a sense of what numbers mean and how they are
used. Students will be able to:
1. Read, compare, order, classify, and explain whole numbers up to one thousand.
q
a. Read and write numbers
up to one thousand.
q
b.
Compare and order numbers up
to one thousand (greater than, less than, equal to).
q
c.
Classify odd and even
numbers.
q
d.
Explain the (place) value of
given digits in a number up to 1,000.
2. Read,
compare, order, classify, and explain simple fractions through tenths.
q
a. explain that fractional
parts must be equal.
q
b. read conventional
fraction words, notation (1/2s, 1/3s, 1/6s)
q
c. compare and orders
halves, thirds, and sixths, and compares halves, fourths and eighths
3. Demonstrate
knowledge of the meaning of fractions, decimals, and integers, and an
understanding of how they may be used.
q
a. relate notation for
common fractions with notations for decimals on the calculator.
q
b. connect fractions to
division.
q
c. identify the values of
coins and find the values of collections of coins to learn about decimals.
B. Students
will understand and demonstrate computation skills. Students will be able to:
1. Solve
multi-step, real-life problems using the four operations with whole numbers up
to 1,000.
2. Solve real-life problems involving addition and subtraction of simple fractions.
q
a. add and subtract
fractions with like denominators.
3. Demonstrate and explain the problem-solving process using appropriate tools and technology and defend the reasonableness of results.
q
a. develop flexibility in
solving problems by finding several ways to reach a solution.
q
b. explore materials
including the calculator to be used throughout the curriculum as tools for
solving problems.
q
c. use a variety of
manipulatives to do problem solving and to explain the strategies used.
4. Develop
proficiency with the facts and algorithms of the four operations on whole
numbers using mental math and a variety of materials, strategies, and
technologies.
q
a. skip count to represent
multiples of the same number.
q
b. use mental computation
strategies to find an answer.
q
c. multiply by 0, 1, 2, 5,
9, 10, 11.
q
d. develop automaticity with facts
and algorithms with addition and subtraction in whole numbers up to 1,000.
C. Students
will understand and apply concepts of data analysis. Students will be able to:
1. Make generalizations and draw conclusions using various types of graphs, charts, and tables.
2. Read and interpret displays of data.
q
a. organize and present
data in tables and line plots, tally charts, bar graphs.
q
b. collect, record, and
graph data.
q
c. describe and interpret
data identifying least frequent, reading, using and comparing values.
D. Students
will understand and apply concepts of probability. Students will be able to:
1. Explain the concept of chance in prediction outcomes.
q
a. identify fair and unfair
games based on probability.
q
b. describe events as
likely, equally likely, and unlikely based on probability.
2. Estimate probability from a sample of observed outcomes and simulations.
q
a. predict expected
outcomes.
q
b. justify predictions.
E.
Students
will understand and apply concepts from geometry.
1. Describe, model, and classify shapes and figures (triangles, rectangles, squares, using number of sides and angles or corners).
2. Experiment with shapes and figures to make generalizations regarding congruency, symmetry, and similarity.
3. Use
transformations such as slides, flips, and rotations.
q
a. find patterns for
covering a space.
q
b. describe physical
positions as a series of slide, flips, and turns.
q
c. compare shapes to
determine congruence through motions such as rotations (turns) and reflections(
flips).
4. Use
the properties of shape and figures to describe the physical world.
F. Students
will understand and demonstrate measurement skills. Students will be able to:
1. Solve
and justify solutions to real-life problems involving the measurement of time,
length, area, perimeter, weight, temperature, time, capacity, and volume.
q
a. measure time, length,
temperature, the ruler to an inch and whole cent.
q
b. use standard measures
(US standard or metric) to gather data about size and mass
q
c. measure the area of
various objects.
2. Select measuring tools and units of measurement both customary and metric that are appropriate for what is being measured.
q
a. develop familiarity
with inches, feet, and yards.
q
b. develop awareness of
centimeters and meters.
G. Students
will understand that mathematics is the science of pattern, relationships, and
functions. Students will be able
to:
1. Use the patterns of numbers, geometry, and a variety of graphs to solve a problem.
q
a. become familiar with
number patterns on the 100s chart and determine the next term or missing terms
in patterns with numbers or shapes.
q
b. use and identify geometric
patterns to solve problems.
2. Use variable and open sentences to express relationships.
q
a. translate real life
situations into addition and subtraction sentences.
H. Students
will understand and apply algebraic concepts. Students will be able to:
1. Develop and evaluate simple formulas in problem-solving contexts.
q
a. identify patterns in a
number sequence and write any missing numbers.
q
b. describe skip counting
patterns.
q
c. explore algebra by
using manipulatives.
2. Find replacements for variables that make simple number sentences true.
I. Students
will understand and apply concepts in discrete mathematics. Students will be able to:
1. Create and use organized lists, tree diagrams, Venn diagrams, and networks to generate possible outcomes and to solve problems.
J. The
student will understand and apply concepts of mathematical reasoning. The
students will:
1. Generate alternative explanations to explain mathematical events.
q
a. explore multiple ways
to solve a problem.
2. Understand that support for a claim should come from evidence of from observation and experimentation.
q
a. use evidence to support
a claim/answer. (i.e., show problem solving strategies).
K. Students
will reflect upon and clarify their understanding of mathematical ideas and
relationships. The student will:
1. Use
simple tables and graphs to communicate ideas and information in presentations
in a concise and clear manner.
q
a. construct graphs using
various given data.
q
b. construct tables using
various given data.
q c. present information from his/her graph/table