## Math

Patterns & Sorting Kindergarten Math Colors Kindergarten Math Whole Numbers First Grade Math In & Out Kindergarten Math More or Less Kindergarten Math Numbers 1-10 Kindergarten Math Big or Little Kindergarten Math ### SD.7.A. Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

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

##### 7.A.1.1. Application: Students are able to write and evaluate algebraic expressions using the set of whole numbers.

###### 7.A.1.1.a. Use replacement values for variables.

###### 7.A.1.1.b. Use order of operations.

##### 7.A.1.2. Knowledge: Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions.

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

##### 7.A.2.1. Application: Students are able to write and solve one-step 1st degree equations, with one variable, using the set of integers and inequalities, with one variable, using the set of whole numbers.

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

##### 7.A.3.1. Application: Students are able to identify and graph ordered pairs on a coordinate plane and inequalities on a number line.

###### 7.A.3.1.a. Use a scatterplot to draw an approximate line of best fit in a coordinate plane.

##### 7.A.3.2. Application: Students are able to model and solve multi-step problems involving rates.

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

##### 7.A.4.1. Application: Students are able to recognize one-step patterns using tables, graphs, and models and create one-step algebraic expressions representing the pattern.

###### 7.A.4.1.a. Identify arithmetic and geometric sequences.

###### 7.A.4.1.b. Extend arithmetic and geometric sequences.

### SD.7.G. Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

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

##### 7.G.1.1. Application: Students are able to identify, describe, and classify polygons having up to 10 sides.

##### 7.G.1.2. Knowledge: Students are able to identify and describe elements of geometric figures. (Altitude, Midpoint, Bisector, Radius, Diameter, Chord)

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

##### 7.G.2.1. Application: Students are able to demonstrate ways that shapes can be transformed. (Translation, Rotation, Reflection)

###### 7.G.2.1.a. Translation

###### 7.G.2.1.b. Rotation

###### 7.G.2.1.c. Reflection

### SD.7.M. Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

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

##### 7.M.1.1. Comprehension: Students are able to select, use, and convert appropriate units of measurement for a situation including capacity and angle measurement.

###### 7.M.1.1.a. Measure angles less than or equal to 180 degrees to the nearest degree.

###### 7.M.1.1.b. Measure length, capacity, and mass.

###### 7.M.1.1.c. Convert within the Metric system (kilo- thru milli-).

###### 7.M.1.1.d. Convert within the U.S. Customary system (weight, length, capacity).

##### 7.M.1.2. Comprehension: Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements).

###### 7.M.1.2.a. Use appropriate unit of measure.

### SD.7.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.

#### 7.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.

##### 7.N.1.1. Comprehension: Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions.

###### 7.N.1.1.a. Describe and compare numbers using ratios including appropriate notation,

#### 7.N.2. Apply number operations with real numbers and other number systems.

##### 7.N.2.1. Application: Students are able to add, subtract, multiply, and divide integers and positive fractions.

#### 7.N.3. Develop conjectures, predictions, or estimations to solve problems and verify or justify the results.

##### 7.N.3.1. Application: Students are able to use various strategies to solve one- and two-step problems involving positive fractions and integers.

###### 7.N.3.1.b. Use estimation strategies to make predictions and test the reasonableness of the answer.

### SD.7.S. Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

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

##### 7.S.1.1. Comprehension: Students are able to find the mean, median, mode, and range of a set of data.

##### 7.S.1.2. Application: Students are able to display data, using frequency tables, line plots, stem-and-leaf plots, and make predictions from data displayed in a graph.

#### 7.S.2. Apply the concepts of probability to predict events/outcomes and solve problems.

##### 7.S.2.1. Comprehension: Students are able, given a sample space, to find the probability of a specific outcome.

###### 7.S.2.1.a. Simple probability.

###### 7.S.2.1.b. Express probability as a ratio, decimal, or percent.

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