SD Content Standards Correlation

K-2	3-5
Math	Math

Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

Indicator 1: Analyze procedures to transform algebraic expressions.

1. compare collections of objects to determine more, less, and equal.

1. use the concepts of equal to, greater than, and less than to compare numbers and sets.
3. identify number sentences that represent the commutative property of addition.

1. identify number sentences that represent the inverse operation of given number sentences.
2. apply the addition properties of zero and one in problem situations.
3. describe the inverse relationship between addition and subtraction, write related equations, and solve, e.g., 35 + _ = 47, 47 - 35 = _.

Indicator 2: Use a variety of algebraic concepts and methods to solve problems.

1. use +, -, and = symbols to write number sentences and solve problems.
2. understand that symbols can be used to represent unknown quantities in mathematical sentences

Indicator 3: Analyze and describe situations that involve one or more variables.

2. explore and model possible addition and subtraction combinations for a given number.

3.  determine all possible addition and subtraction combinations for a given number.

1. use informal methods to solve everyday problems requiring open sentences with one unknown.
2. use properties of addition and subtraction to devise algorithms or check results.
3. solve addition and subtraction problems using data from simple charts, picture graphs, and number sentences, e.g., find the answer for 4 + X = ? when X = 2.

Goal 4 – NUMBER SENSE
Students will develop and use number sense to investigate the characteristics of numbers in a variety of forms and modes of operation.

Indicator 2: Apply number operations with real numbers and other number systems.

1. use objects to model addition and subtraction.
2. determine the number of objects in a set when one object is added or subtracted.
3. demonstrate and describe that a whole is composed of fractional parts using things encountered in daily experiences.

1. recall basic addition and subtraction facts through the 9s.
2. select the appropriate operation to solve specific problems involving whole numbers.
3. use fraction models to identify parts of a whole and parts of a group.
4. estimate and find the sum or difference of two whole numbers written in horizontal or vertical form.

Indicator 4: Analyze the concepts of value, magnitude, and relative magnitude of real numbers.

3. use relationship vocabulary to describe value and magnitude of objects, e.g., bigger, smaller, more, less, equal.

2. order and compare whole numbers to 100.
3. compare and order common fractions using concrete materials. (example: one-fourth to one-half of a cookie)

2. compare and order fractions and decimals on a number line.
3. recognize relationships between common decimals and fractions, e.g., 1/2 = 0.5.

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Goal 1 – Algebra
Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

Indicator 1: Analyze procedures to transform algebraic expressions.

3. recognize and use the commutative and associative properties of multiplication. (example: if 6 x 7 = 42, then what is 7 x 6?)
5. identify special properties of 0 and 1 with respect to arithmetic operations.

1. relate the concepts of addition, subtraction, multiplication, and division to one another. (example: use of the associative, commutative, and distributive properties)

1. demonstrate and explain use of associative, commutative, and distributive properties.

Indicator 2: Use a variety of algebraic concepts and methods to solve problems.

2. select appropriate operational and relational symbols to make expressions true.
3. use concrete materials to model and solve equations.

4. use variables as place holders in number sentences.

2. solve one-step linear equations, e.g., 2x = 10, x + 4 = 5

Indicator 3: Analyze and describe situations that involve one or more variables.

1. explain the relationship between multiplication and division to compute and check results. (example: 3 x 7 = 21, so 21 / 7 = _)

4. solve open sentences using the four basic operations.

Goal 4 – NUMBER SENSE
Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

Indicator 1: Analyze the structural characteristics of the real number system and its various subsystems.

2. name, represent, and write fractions and decimals.

Indicator 2: Apply number operations with real numbers and other number systems.

2. recall multiplication and division facts through the nines.
3. add and subtract with fractions and decimals.

1. apply multiplication and division facts through the 12s.
4. use the four operations with fractions and decimals.

3. compute with rational numbers using the four arithmetic operations.

   (example: ¼ ¸ ½ = _ , 3.2 x 1.5 = _)

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