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© 2008 by Mahomet-Seymour Schools.
All Rights Reserved.
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Mahomet-Seymour Schools
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Curriculum
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Mathematics - Grade 5
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Representations and Ordering
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The learner will:
Represent place
values from units through billions using powers of ten and decimals through
thousandths.
Order, compare, and
solve equations using whole numbers up to a billion and decimals through
thousandths.
Represent
multiplication as repeated addition.
Recognize, translate
between, and model multiple representations of decimals, fractions less
than one, and percents.
Solve problems
involving descriptions of numbers, including characteristics and
relationships.
Identify fractional
pieces that have the same value but different shapes.
Compare and order
fractions and decimals efficiently and find their approximate position on a
number line.
Solve problems
involving the commutative, distributive, and identity properties of
operations on whole numbers.
Identify prime and
composite numbers.
Explore and use
divisibility rules.
Determine the least
common multiple and the greatest common factor of a set of numbers.
Estimate,
demonstrate and model situations involving addition, subtraction and
multiplication of fractions, whole numbers and decimals.
Simplify arithmetic
expressions with rational numbers using the field properties and the order
of operations.
Recognize and use
the inverse relationships of addition and subtraction, multiplication and
division to simplify computations and solve problems.
Solve multiplication
number sentences and word problems with whole numbers, decimals, and
fractions.
Compute with 10,
100, 1000, and other powers of 10.
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Ratios, Proportions and Percents
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The learner will:
Determine 50% and
100% of a given group in context.
Model the concept of
percent using manipulative or drawings.
Create and explain a
pattern that shows a constant ratio.
Solve problems
involving proportional relationships.
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Units, Tools, Estimations and Applications
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The learner will:
Measure and draw,
with a greater degree of accuracy, any angle using a protractor or angle
ruler.
Convert US customary
and metric measurements into larger or smaller units.
Estimate and measure
distance, weight, temperature, and elapsed time using reasonable units with
acceptable levels of accuracy.
Estimate and measure
the perimeter, area, and volume of regular and irregular shapes.
Describe how
precision is affected by choice of units.
Develop, use, and
justify appropriate formulas and tools to determine the area of all
polygons.
Develop and use
formulas for determining the circumference and area of circles.
Select appropriate
tools to measure, draw, or construct figures.
Calculate the
surface area and volume of a cube, rectangular prism and triangular prism
using formulas.
Solve problems
involving map interpretation.
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Representations, Patterns, and
Expressions
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The learner will:
Identify, extend,
and describe arithmetic and geometric sequences of numbers whether
presented in numeric or pictorial form.
Create, describe,
and extend patterns.
Evaluate algebraic
expressions, word problems and equations for given values.
Express properties
of numbers in operations using variables.
Simplify algebraic
expressions involving like terms.
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Connections Using Tables,
Graphs, and Symbols
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The learner will:
Represent and
analyze patterns and functions using words, tables, and graphs.
Describe verbally,
symbolically, and graphically, a simple relationship presented by a set of
ordered pairs or numbers.
Demonstrate how the
change in one quantity affects the other in a functional relationship
involving whole numbers and unit fractions.
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Writing, Interpreting, and
Solving Equations
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The learner will:
Create, model, and solve
algebraic equations using concrete materials.
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Properties of Single Figures and
Coordinate Geometry
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The learner will:
Identify, draw,
compare, and analyze attributes of two- and three-dimensional shapes and
lines and develop vocabulary to describe the attributes.
Perform simple
constructions with appropriate tools.
Determine and
describe the relationships within a circle. (e.g., pi, the diameter, the
radius, and the circumference)
Determine unknown
angle measures using angle relationships and properties of a triangle or a
quadrilateral.
Classify and
identify two- or three-dimensional shapes according to their properties
(e.g., regular and irregular, concave and convex, types of quadrilaterals,
pyramids, and prisms)
Predict the result
of composing or decomposing shapes or figures.
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Relationships Between and Among Multiple Figures
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The learner will:
Demonstrate
congruence and similarity of plane figures using transformations.
(translation, rotation, reflection)
Determine the
relationships between the number of vertices or sides in a polygon, the
number of diagonals, and the sum of its angles.
Match a front, right
side, and top view drawing with a three-dimensional model built with cubes.
Identify and
describe the five regular polyhedra.
Create regular and
semi-regular tessellations using pattern blocks, other manipulative, or
technology.
Make, test, and
justify conjectures about various quadrilateral and triangle relationships,
including the triangle inequality.
Justify that the sum
of the angles of a triangle is 180 degrees.
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Probability
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The learner will:
Create double bar
graphs, double line graphs, and stem and leaf plots with and without
technology, using given data.
Select an
appropriate graph format to display given data.
Read and interpret,
infer, predict, draw conclusions, and evaluate data from any graph.
Determine mean,
median, mode, minimum value, maximum value, and range, and discuss what
each does to help interpret a given set of data.
List all possible
outcomes of a single event and tell whether an outcome is certain,
impossible, likely, or unlikely.
Record probabilities
as fractions, decimals, or percents.
Demonstrate that the
sum of all probabilities equals one.
List outcomes by a
variety of methods (e.g., tree
diagram).
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