1.0     Number and Operation

3.1.1 Understand number ways of representing numbers, relationships among numbers, and number systems.

3.1.2 Understand meaning of operations and how they relate to one another.

3.1.3 Solve problems, compute fluently, and make reasonable estimates.

2.0     Algebra

3.2.1 Sort and classify objects by size, number, and other properties.

3.2.2 Represent and analyze patterns and functions.

3.2.3 Use concrete, pictorial, and verbal representations to develop an understanding of the language and symbols of mathematics.

3.2.4 Illustrate general properties of operations.

3.2.5 Analyze change in various contexts.

3.0     Geometry

3.3.1 Analyze characteristics and properties of geometric shapes.

3.3.2 Specify locations and describe spatial relationships.

3.3.3 Recognize and apply flips, slides, and turns.

4.0     Measurement

3.4.1 Demonstrate understanding of units of measure and measurable attributes of objects.

3.4.2 Apply appropriate techniques and tools to determine measurements.

5.0 Data Analysis and Probability

3.5.1 Develop, select, and use appropriate methods to collect, organize, display and analyze data.

3.5.2 Apply the basic concepts of probability.

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3.1.1a Count by tens, hundreds, or thousands from any whole number.

3/1/1b Skip count by tens from any whole number less than 1000.

3.1.1c Read, write, and order whole numbers to 9999.

[to 999,990.]

3.1.1d Represent numbers to 9999 in flexible ways using a variety of materials.

3.1.1e Identify whole numbers as odd or even.

3.1.1f Name the place value of a given digit in whole numbers to 10,000s.

[to 999,999]

3.1.1g Write whole numbers up to 10,000 in expanded form (e.g. 873 as 800 + 70 + 3).

3.1.1h Match the spoken, written, concrete, and pictorial representations of fractions with denominators up to ten

[denominators to 12].

(3.3.2a) Identify the position of 1/2, 1/3, and 1/4 on a number line.

3.1.1I Compare and order unit fractions with denominators up to ten.

[to 16].

Find equivalent fractions.

3.1.1j Compare and order decimal amounts in the context of money.

3.1.1k Count the value of combinations of coins and bills up to $5.

3.1.1l Make change from a transaction that is less than a dollar.

[ make change from $5.00].

3.1.1m Order whole numbers to 10,000.

3.1.1n Compare whole numbers to 9999 using the appropriate symbol (i.e. <, >, =)

(and less than or equal to, more than or equal to)

Round 2 digit numbers to the nearest 10 & 3 digit numbers to the nearest hundred.

Recognize and order whole numbers, commonly used fractions, and decimals.

3.1.2a Relate skip counting to multiplication.

3.1.2b Connect division to sharing situations.

Use models to solve division problems.

Divide 2-digit dividends by 1 digit divisors (quotient and remainder).

3.1.2c Demonstrate multiplication using repeated addition (e.g. arrays). * Demonstrate division as repeated subtraction.

3.1.2d Write and identify number sentences that describe real-world situations involving addition, subtraction, and multiplication (and division).

3.1.3a Use a variety of thinking strategies to add and subtract whole numbers (e.g. sums of ten, doubles plus one).

3.1.3b Explain the reasonableness of a solution.

3.1.3c Relate adding doubles to multiplying by two.

3.1.3d Use known multiplication facts to determine a related product (e.g. 9 X 7 is less than 10 X 7).

3.1.3e Use the multiplication facts 0, 1, 2, 5, and 10 efficiently and accurately.

Learn and use simple multiplication facts to 18.

Multiply 3 digit numbers by 1 digit numbers.

3.1.3f Explain and justify solution strategies in problem solving.

3.1.3g Select and apply an appropriate problem solving strategy (e.g. organized list, guess and check, draw a picture, look for a pattern, acting it out, making a table, working a simpler problem, working backwards, working with manipulatives, using a calculator).

3.1.3h Perform basic mental computations involving addition and subtraction (facts to 18).

Add 2 and 3 digit whole numbers with and without regrouping.

Subtract 2 and 3 digit whole numbers (including 0).

3.1.3i Use strategies to estimate in problem solving situations.

3.2.1a Sort objects by two or more attributes.

3.2.1b Devise, carry out, and explain a sorting scheme for a group of objects.