© 2008 by Mahomet-Seymour Schools.
All Rights Reserved.


Mahomet-Seymour Schools


Mathematics - Grade 3





Representations and Ordering


The learner will:


Understand place value and the base-ten number system.

Use cardinal and ordinal numbers appropriately.

Recognize and explain the concept of odd and even numbers.

Describe parts of a set using ½, 1/3, and ¼

Represent, order, label and compare unit fractions using concrete materials.

Describe, represent, order, and compare whole numbers to demonstrate an understanding of the base-ten number system.

Recognize equivalent representations of whole numbers and generate them by composing and decomposing numbers (expanded form).

Judge the size of fractions using models, benchmarks and equivalent forms.

Represent, order, label and compare familiar fractions.

Recognize and generate equivalent forms of familiar fractions.

Explore and discuss uses of decimals in regard to money.

Represent fractions as parts of a set, as locations on a number line, and as divisions of whole numbers.








Computation, Operations, Estimation, and Properties


The learner will:


 Solve two-step addition and subtraction number sentences and word problems including regrouping.

Demonstrate the relationship between addition and subtraction and multiplication and division.

Explore multiplication and division through equal grouping and equal sharing of objects.

Connect repeated addition to multiplication.

Demonstrate fluency with basic addition, subtraction, and multiplication facts.

Identify and use relationships between and among properties of operations.

Apply knowledge of basic multiplication facts (0-10) to related facts (e.g. 3x4=12; 30x4= 120).

Estimate sums and differences of one or two-digit numbers.

Develop and use strategies to estimate (when appropriate) the results of whole-number computations to judge the reasonableness of such results.












Ratio’s, Proportions, and Percents


The learner will: 


Compare unit fractions to solve problems.

            Describe the relationship between two sets using <, >, and =.














Units, Tools, Estimations, and Applications


The learner will: 


Explain the need for using standard units for measuring.

Measure objects using the U.S. customary and metric systems. (including length, weight, time, temperature, volume and capacity)

Perform simple unit conversion within the US system of measurement.

Tell time, and find/estimate elapsed time using an analog clock.

Count, compare, order, and find equivalent amounts of money.

Make change from a given amount using bills and coins.

Solve problems using perimeter and area with appropriate units.

               Use common referents for linear measures to make comparisons and estimates.






Representations, Patterns, and Expressions


The learner will:


Recognize, describe, extend, and create geometric and numeric patterns.

Describe missing units or extend numeric patterns using addition or subtraction (in word problems and equations).

Express mathematical relationships using equations and variables (e.g. input/ output tables).









Connections Using Tables, Graphs, and Symbols


The learner will:


Describe and compare quantitative or constant rates of change in words, graphs, or tables.

Represent and analyze simple patterns and operations using words, tables, and graphs.























Writing, Interpreting, and Solving Equations


The learner will: 


Apply the relationship of addition/subtraction, and multiplication/division using fact families to solve for an unknown quantity.

Demonstrate how to select and use an appropriate operation to solve problems using patterns.

Solve one step linear equations using concrete materials.









Properties of Single Figures and Coordinate Geometry


The learner will:


Investigate and predict the results of putting together and taking apart two and three dimensional shapes, including the use of nets.

Perform translations, reflections, and rotations with concrete objects.

Create and complete shapes that have line symmetry.

Specify locations using a coordinate system.

Identify, draw, and build polygons.













Relationships Between and Among  Multiple Figures


The learner will:


Differentiate between polygons and non-polygons.

Identify parallel lines.

Identify objects that are congruent and similar.

Compare and contrast appropriate attributes of two and three dimensional objects using appropriate vocabulary.

Decompose a three dimensional object into two dimensional components.












Data Analysis, Statistics, and Probability


The learner will:


Organize, make predictions, and interpret simple data (pictographs, tallies, tables, plots, line graphs, and bar graphs).

                  Describe the important features of a set of data displayed by a graph.

Determine the mode of data on a graph.

Gather data in order to create graphs.

Identify and discuss likely, unlikely, and impossible probability of events and its degree of likelihood using certain, equally likely and impossible.

Explain probability as a fractional part of a group to the whole group (such as 5 chances out of 8).

Make predictions based on results received from a preformed probability experiment.