Math Frameworks


dime             nickel             penny             quarter



Number Sense and Operations 



Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

3.N.1     Exhibit an understanding of the base ten number system by reading, modeling, writing, and interpreting whole numbers through 9,999.

3.N.2     Represent, order, and compare large numbers through 9,999.  Represent numbers using expanded notation (853 = 8 x 100 + 5 x               10 + 3), and written out in words (eight hundred fifty three).
 
3.N.3     Identify and represent fractions (between 0 and 1 with denominators through 10) as parts of unit wholes and parts of groups.                    Model and represent a mixed number (with denominator 2, 3, or 4) as a whole number and a fraction, e.g., 1 2/3.

3.N.4     Locate on the number line and compare fractions (between 0 and 1 with denominators 2, 3, or 4)
 
3.N.5    Recognize classes to which a number may belong (odd numbers, even numbers, and multiples of numbers through 10).  Identify              the numbers in those classes, e.g., the class of multiples of 7 between 1 and 29 consists of 7, 14, 21, 28.

3.N.6     Select, use, and explain various meanings and models of multiplication (through 10X10).  Relate multiplication problems to                   corresponding division problems. 

3.N.7     Use the commutative (order) and identity properties of addition and multiplication on whole numbers in computations and                       problem situations, e.g., 3 + 4 +7=3 + 7 +4 = 10 + 4

3.N.8   Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those                     involving money.

3.N.9   Know multiplication facts through 10X10 and related division facts. Use these facts to solve related multiplication problems and             compute related problems.

3.N.10  Add and subtract (up to four-digit numbers) and multiply (up to two digits by one digit) accurately and efficiently.

3.N.11   Round whole numbers through 1,000 to the nearest 10, 100, 1,000.

3.N.12   Understand and use the strategies of rounding and regrouping to estimate quantities, measures, and the results of whole-number               computations up to two-digit whole numbers and amounts of money to $100.00, and to judge the reasonableness of an answer.

3.N.13   Use concrete objects and viaul models to add and subtract (only when the answer is greater than or equal to zero) common                       fractions with like denominators.


Patterns, Relations, and Algebra



Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

3.P.1     Create, describe, extend, and explain symbolic (geometric) patterns and addition and subtraction patterns.

3.P.2     Determine which symbol (<, >,=) is appropriate for a given number sentence.

3.P.3     Determine the value of a variable in simple equations involving addition, subtraction, or multiplication.

4.P.4    Write number sentences using +, -, X, division sign, <, = to represent mathematical relationships in everyday situations.



Geometry
 

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

3.G.1     Compare and analyze attributes and other features (e.g.,  number of sides, corners, diagonals, and lines of symmetry) of                            two-dimensional geometric shapes.

3.G.2     Describe, model, draw, compare, and classify two-dimensional shapes, e.g., circles, triangles, and quadrilaterals.  Identify                       simple three-dimensional shapes such as cubes, spheres, and pyramids.

3.G.3     Identify angles as right angles, greater than right angle, or less than right angles.

3.G.4    Identify and draw intersecting, parallel, and perpendicular lines.   

3.G.5     Using ordered pairs of whole numbers and/or letters,  locate and identify points on a grid.

3.G.6     Identify and describe line symmetry in two-dimensional shapes.

3.G.7     Predict and explain the results of taking apart, and combining two-dimensional shapes.



Measurement



Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

3.M.1     Demonstrate an understanding of such attributes as length, area, and weight and select the appropriate type of unit for                                measuring each attribute using both the U.S. Customary Units and metric systems.

3.M.2     Carry out simple unit conversions within a system of measurement, e.g., hours to minutes, cents to dollars, yards to feet or                         inches, etc.

3.M.3     Identify time to the minute on analog and digital clocks using a.m. and p.m. Compute elapsed time, using a clock for times less                than one hour, and using a calendar.

3.M.4     Estimate and find area and perimeter of a rectangle using diagrams and grids or by measuring.

3.M.5     Identify and use appropriate metric and English units and tools (e.g., ruler, scale, thermometer, clock) to estimate, measure, and                solve problems involving length, area, weight, time, and temperature.




Data Analysis, Statistics, and Probability


 

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

3.D.1     Collect and organize data using observations, measurements, surveys, or experiments, and identify appropriate ways to display               the data.

3.D.2     Match representations of a data set in the forms as lists, tables, or graphs with the actual set of data.

3.D.3     Construct and draw conclusions from representations of data sets in the forms of tables, bar graphs,  pictographs, line plots, and               tallies.

3.D.4   List and count the number of possible combinations of objects from two sets, e.g., how many different outfits can be made from a             set of two sweaters and a set of three skirts?


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Last Modified on June 14, 2004
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