MATHEMATICS :: 2003 :: CURRENT K-8 :: GRADE 3
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Major Concepts/Skills
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Concepts/Skills to Maintain
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- Addition and subtraction of multi-digit numbers
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- Multiplication and division
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- Non-negative rational numbers
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- Line plots, tallies, pictographs
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- Permutations and combinations
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- Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as those
developed in earlier years
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Strands:
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Number and Operations, Measurement, Geometry,
Data Analysis and Probability, Algebra
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COMPETENCY GOAL 1:
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The learner will model, identify, and compute
with whole numbers through 9,999.
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Objectives
1.01 Develop number sense for whole
numbers through 9,999.
- Connect model, number word, and number using a variety of
representations.
- Build understanding of place value (ones through
thousands).
- Compare and order.
1.02 Develop fluency with multi-digit
addition and subtraction through 9,999 using:
- Strategies for adding and subtracting numbers.
- Estimation of sums and differences in appropriate
situations.
- Relationships between operations.
1.03 Develop fluency with multiplication
from 1x1 to 12x12 and division up to two-digit by one-digit numbers
using:
- Strategies for multiplying and dividing numbers.
- Estimation of products and quotients in appropriate
situations.
- Relationships between operations.
1.04 Use basic properties (identity,
commutative, associative, order of operations) for addition,
subtraction, multiplication, and division.
1.05 Use area or region models and set
models of fractions to explore part-whole relationships.
- Represent fractions concretely and symbolically (halves,
fourths, thirds, sixths, eighths).
- Compare and order fractions (halves,
fourths, thirds, sixths, eighths) using models and benchmark numbers (zero,
one-half, one); describe comparisons.
- Model and describe common
equivalents, especially relationships among halves, fourths, and eighths,
and thirds and sixths.
- Understand that the fractional relationships
that occur between zero and one also occur between every two consecutive
whole numbers.
- Understand and use mixed numbers and their equivalent
fraction forms.
1.06 Develop flexibility
in solving problems by selecting strategies and using mental computation,
estimation, calculators or computers, and paper and pencil. |
| COMPETENCY GOAL 2: | The learner will recognize and use standard units of metric
and customary measurement. |
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Objectives
2.01 Solve problems using measurement concepts
and procedures involving: - Elapsed time.
- Equivalent
measures within the same measurement system.
2.02
Estimate and measure using appropriate units. - Capacity
(cups, pints, quarts, gallons, liters).
- Length (miles, kilometers)
- Mass
(ounces, pounds, grams, kilograms).
- Temperature (Fahrenheit, Celsius).
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COMPETENCY GOAL 3:
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The learner will recognize and use
basic geometric properties of two- and three-dimensional
figures.
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Objectives
3.01 Use appropriate vocabulary to
compare, describe, and classify two- and three-dimensional
figures.
3.02 Use a rectangular coordinate system
to solve problems.
- Graph and identify points with whole number and/or letter
coordinates.
- Describe the path between given points on the plane.
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COMPETENCY GOAL 4:
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The learner will understand and use
data and simple probability concepts.
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Objectives
4.01 Collect, organize, analyze, and
display data (including circle graphs and tables) to solve
problems.
4.02 Determine the number of permutations
and combinations of up to three items.
4.03 Solve probability problems using permutations
and combinations. |
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COMPETENCY GOAL 5:
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The learner will recognize, determine,
and represent patterns and simple mathematical
relationships.
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Objectives
5.01 Describe and extend numeric and
geometric patterns.
5.02 Extend and find missing terms of
repeating and growing patterns.
5.03 Use symbols to represent unknown
quantities in number sentences.
5.04 Find the value of the unknown in a number
sentence. |
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