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3.1
Number Sense
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3.1.1
Count, read, and write whole numbers up to 1,000.
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3.1.2
Identify and interpret place value in whole numbers up to 1,000.
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3.1.3
Use words, models, and expanded form to represent numbers up to 1,000.
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3.1.4
Identify any number up to 1,000 in various combinations of hundreds, tens, and ones.
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3.1.5
Compare whole numbers up to 1,000 and arrange them in numerical order.
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3.1.6
Round numbers less than 1,000 to the nearest ten and the nearest hundred.
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3.1.7
Identify odd and even numbers up to 1,000 and describe their characteristics.
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3.1.8
Show equivalent fractions using equal parts.
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3.1.9
Identify and use correct names for numerators and denominators.
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3.1.10
Given a pair of fractions, decide which is larger or smaller by using objects or pictures.
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3.1.11
Given a set of objects or a picture, name and write a decimal to represent tenths and hundredths.
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3.1.12
Given a decimal for tenths, show it as a fraction using a place-value model.
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3.1.13
Interpret data displayed in a circle graph and answer questions about the situation.
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3.1.14
Identify whether everyday events are certain, likely, unlikely, or impossible.
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3.1.15
Record the possible outcomes for a simple probability experiment.
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3.2
Computation
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3.2.1
Add and subtract whole numbers up to 1,000 with or without regrouping, using relevant properties of the number system.
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3.2.2
Represent the concept of multiplication as repeated addition.
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3.2.3
Represent the concept of division as repeated subtraction, equal sharing, and forming equal groups.
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3.2.4
Know and use the inverse relationship between multiplication and division facts, such as 6 x 7 = 42, 42 ÷ 7 = 6, 7 x 6 = 42, 42 ÷ 6 = 7.
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3.2.5
Show mastery of multiplication facts for 2, 5, and 10.
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3.2.6
Add and subtract simple fractions with the same denominator.
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3.2.7
Use estimation to decide whether answers are reasonable in addition and subtraction problems.
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3.2.8
Use mental arithmetic to add or subtract with numbers less than 100.
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3.3
Algebra and Functions
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3.3.1
Represent relationships of quantities in the form of a numeric expression or equation.
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3.3.2
Solve problems involving numeric equations.
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3.3.3
Choose appropriate symbols for operations and relations to make a number sentence true.
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3.3.4
Understand and use the commutative and associative rules of multiplication.
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3.3.5
Create, describe, and extend number patterns using multiplication.
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3.3.6
Solve simple problems involving a functional relationship between two quantities.
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3.3.7
Plot and label whole numbers on a number line up to 10.
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3.4
Geometry
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3.4.1
Identify quadrilaterals as four-sided shapes.
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3.4.2
Identify right angles in shapes and objects and decide whether other angles are greater or less than a right angle.
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3.4.3
Identify, describe, and classify: cube, sphere, prism, pyramid, cone, cylinder.
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3.4.4
Identify common solid objects that are the parts needed to make a more complex solid object.
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3.4.5
Draw a shape that is congruent to another shape.
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3.4.6
Use the terms point, line, and line segment in describing two-dimensional shapes.
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3.4.7
Draw line segments and lines.
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3.4.8
Identify and draw lines of symmetry in geometric shapes (by hand or using technology).
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3.4.9
Sketch the mirror image reflections of shapes.
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3.4.10
Recognize geometric shapes and their properties in the environment and specify their locations.
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3.5
Measurement
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3.5.1
Measure line segments to the nearest half-inch.
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3.5.2
Add units of length that may require regrouping of inches to feet or centimeters to meters.
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3.5.3
Find the perimeter of a polygon.
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3.5.4
Estimate or find the area of shapes by covering them with squares.
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3.5.5
Estimate or find the volume of objects by counting the number of cubes that would fill them.
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3.5.6
Estimate and measure capacity using quarts, gallons, and liters.
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3.5.7
Estimate and measure weight using pounds and kilograms.
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3.5.8
Compare temperatures in Celsius and Fahrenheit.
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3.5.9
Tell time to the nearest minute and find how much time has elapsed.
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3.5.10
Find the value of any collection of coins and bills. Write amounts less than a dollar using the ¢ symbol and write larger amounts in decimal notation using the $ symbol.
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3.5.11
Use play or real money to decide whether there is enough money to make a purchase.
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3.5.12
Carry out simple unit conversions within a measurement system (e.g., centimeters to meters, hours to minutes).
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3.6
Problem Solving
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Students make decisions about how to approach problems and communicate their ideas.
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3.6.1
Analyze problems by identifying relationships, telling relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
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3.6.2
Decide when and how to break a problem into simpler parts.
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Students use strategies, skills, and concepts in finding and communicating solutions to problems.
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3.6.3
Apply strategies and results from simpler problems to solve more complex problems.
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3.6.4
Express solutions clearly and logically by using the appropriate mathematical terms and notation. Support solutions with evidence in both verbal and symbolic work.
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3.6.5
Recognize the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.
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3.6.6
Know and use strategies for estimating results of whole-number addition and subtraction.
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3.6.7
Make precise calculations and check the validity of the results in the context of the problem.
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Students determine when a solution is complete and reasonable and move beyond a particular problem by generalizing to other situations.
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3.6.8
Decide whether a solution is reasonable in the context of the original situation.
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3.6.9
Note the method of finding the solution and show a conceptual understanding of the method by solving similar problems.
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