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## Math

Full & Empty Kindergarten Math Colors Kindergarten Math Patterns & Sorting Kindergarten Math Shapes Kindergarten Math Numbers 1-10 Kindergarten Math Colors Kindergarten Math ### SD.4.A. Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

#### 4.A.1. Use procedures to transform algebraic expressions.

##### 4.A.1.2. Application: Students are able to recognize and use the commutative property of addition and multiplication.

###### 4.A.1.2.a. Use models to identify commutative property.

##### 4.A.1.3. Application: Students are able to relate the concepts of addition, subtraction, multiplication, and division to one another.

#### 4.A.2. Use a variety of algebraic concepts and methods to solve equations and inequalities.

##### 4.A.2.1. Comprehension: Students are able to select appropriate relational symbols (<, >, =) to make number sentences true.

#### 4.A.3. Interpret and develop mathematical models.

##### 4.A.3.1. Application: Students are able to write and solve number sentences that represent one-step word problems using whole numbers.

###### 4.A.3.1.a. Use multiple methods, such as physical models, tables and charts, the number line, and graphs.

#### 4.A.4. Describe and use the properties and behaviors of relations, functions and inverses.

##### 4.A.4.1. Application: Students are able to solve problems involving pattern identification and completion of patterns.

### SD.4.G. Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

#### 4.G.1. Use deductive and inductive reasoning to recognize and apply properties of geometric figures.

##### 4.G.1.1. Knowledge: Students are able to identify the following plane and solid figures: pentagon, hexagon, octagon, pyramid, rectangular prism, and cone.

##### 4.G.1.2. Knowledge: Students are able to identify parallel, perpendicular, and intersecting lines.

#### 4.G.2. Use properties of geometric figures to solve problems from a variety of perspectives.

##### 4.G.2.1. Comprehension: Students are able to compare geometric figures using size, shape, orientation, congruence, and similarity.

### SD.4.M. Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

#### 4.M.1. Apply measurement concepts in practical applications.

##### 4.M.1.2. Application: Students are able to solve problems involving money including unit conversion.

###### 4.M.1.2.a. Use of proper notation.

##### 4.M.1.3. Application: Students are able to use scales of length, temperature, capacity, and weight.

###### 4.M.1.3.a. Select and use the most appropriate U.S. Customary units for given measurement situations.

### SD.4.N. Number Sense: Students will develop and use number sense to investigate the characteristics of numbers in a variety of forms and modes of operation.

#### 4.N.1. Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers.

##### 4.N.1.1. Comprehension: Students are able to read, write, order, and compare numbers from .01 to 1,000,000.

###### 4.N.1.1.a. Read and write word names and the appropriate symbols in mathematical sentences.

###### 4.N.1.1.b. Use expanded form notation.

##### 4.N.1.3. Comprehension: Students are able to use a number line to compare numerical value of fractions or mixed numbers (fourths, halves, and thirds).

###### 4.N.1.3.a. Identify improper fractions, proper fractions, and mixed numbers.

##### 4.N.1.4. Application: Students are able to interpret negative integers in temperature.

#### 4.N.2. Apply operations within the set of real numbers.

##### 4.N.2.1. Application: Students are able to find the products of two-digit factors and quotient of two natural numbers using a one-digit divisor.

###### 4.N.2.1.a. Recall and apply multiplication and division facts through the 12s.

##### 4.N.2.2. Application: Students are able to add and subtract decimals with the same number of decimal places.

#### 4.N.3. Develop conjectures, predictions, or estimations in the process of problem solving and verify or justify the results.

##### 4.N.3.1. Application: Students are able to estimate sums and differences in whole numbers and money to determine if a given answer is reasonable.

### SD.4.S. Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

#### 4.S.1. Use statistical models to gather, analyze and display data to draw conclusions.

##### 4.S.1.1. Application: Students are able to interpret data from graphical representations and draw conclusions.

##### 4.S.1.2. Knowledge: Given a small ordered data set of whole number data points (odd number of points), students are able to identify the median, mode, and range.

#### 4.S.2. Apply the concepts of probability to predict outcomes and solve problems.

##### 4.S.2.1. Comprehension: Students are able to determine the probability of simple events limited to equally likely and not equally likely outcomes.

### NewPath Learning resources are fully aligned to US Education Standards. Select a standard below to view correlations to your selected resource: