MSAD #55
Grade
4 Mathematics
Benchmarks/Performance
Indicators
5-27-05
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 million.
q
a read, write and sequence numbers to
one million.
q
b.
compare numbers up to one million.
2. Read, compare, order, classify, and explain simple fractions through tenths.
q
a. compare and order fractions between
O and 2.
q
b. identify equivalent fractions.
q
c. demonstrate knowledge that
fractions are equal parts of the whole.
3. Demonstrate knowledge of the meaning of decimals and integers, and an understanding of how they may be used.
q
a. read and understand negative
numbers (integers) using a number line.
q
b. read, write, add and subtract
decimals to the hundredths.
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.
q
a. solve multi-step, real life
problems using one or more computation strategies with whole numbers.
2. Solve real-life problems involving addition and subtraction of simple fractions.
q
a. solve real-life problems involving
addition and subtraction 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. use an appropriate tool (i.e.,
calculator) to solve a problem and determine if the answer is reasonable.
q
b.
determine an appropriate tool (i.e.
ruler, cubes, measuring cups, etc) to solve a given problem.
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. know multiplication facts through
10
q
b. solve problems in all four
operations using a variety of strategies and materials.
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.
q
a. draw and support accurate
conclusions after reviewing various types of graphs, charts, and tables.
2. Read and interpret displays of data.
q
a. given a specific piece of data,
accurately read and interpret the results (i.e. graphs, charts, tables,)
q
b. use data to make a graph, chart, or
table
D. Students
will understand and apply concepts of probability. Students will be able to:
1. Explain the concept of chance in predicting outcomes.
q
a. consider likelihood of occurrence
in a particular event to decide how likely or unlikely they are to occur.
2. Estimate probability from a sample of observed outcomes and simulations.
q
a. determine possible outcomes and
determine which outcomes are likely.
Geometry
E.
Students
will understand and apply concepts from geometry.
1. Describe, model, and classify shapes and figures using applicable properties.
q
a. draw and classify a variety of
geometric shapes.
q
b. describe and recognize mathematical
details of various shapes and figures
2. Experiment with shapes and figures to make generalizations regarding congruency, symmetry, and similarity.
q
a. create designs with shapes that
demonstrate congruency, symmetry, and similarity.
3. Use
transformations such as slides, flips, and rotations.
q
a. use manipulatives to determine how
slides, flips, and rotations can cover a given space.
4. Use
the properties of shapes and figures to describe the physical world.
q
a. make observations to list items
found with various geometric shapes with similar properties.
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, mass, capacity, and volume.
q
a. identify and appropriate methods of
solving real-life problems.
2. Select
measuring tools and units of measurement that are appropriate for what is being
measured.
q
a. use appropriate measuring tools to
solve given measurement problems.
Patterns, Relationships, Functions
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. use various methods of solving
problems (i.e. patterns of numbers, geometry, graphs)
2. Use
variables and open sentences to express relationships.
q
a. find, make, and describe patterns
on a given chart
Algebra Concepts
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. given a problem, develop and
evaluate a simple formula to solve the problem.
2. Find replacements for variables that make simple number sentences true.
q a. solve math sentences using variables.
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
q
a.
develop organized lists, tree
diagrams, Venn diagrams, and networks
.
2. Give
examples of infinite and finite solutions.
q
a. give examples of infinite and
finite solutions
J. The student
will understand and apply concepts of mathematical reasoning. The students
will:
2. Demonstrate an understanding that support for a claim should be based on evidence of various types (e.g., from logical processes, from measurement, or from observation and experimentation.)
q
a. provide
support and evidence of how a mathematical solution was achieved
Mathematical Communication
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. use appropriate methods to
accurately present ideas and information.