## Math

Colors Kindergarten Math Hour/Half-hour Kindergarten Math Colors Kindergarten Math Counting 1-100 Kindergarten Math Up & Down Kindergarten Math Whole Numbers Kindergarten Math Shapes Kindergarten Math ### SD.8.A. Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

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

##### 8.A.1.1. Application: Students are able to use properties to expand, combine, and simplify 1st degree algebraic expressions with the set of integers.

###### 8.A.1.1.a. Properties include associative, commutative, distributive, and identity properties.

###### 8.A.1.1.b. Use order of operations with exponents and nested parentheses.

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

##### 8.A.2.1. Application: Students are able to write and solve two-step 1st degree equations, with one variable, and one-step inequalities, with one variable, using the set of integers. (Inverse operations, Addition property of equality., Multiplication property of equality.)

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

##### 8.A.3.1. Comprehension: Students are able to describe and determine linear relationships.

###### 8.A.3.1.a. Determine slope from a line or ordered pairs on a graph.

###### 8.A.3.1.b. Identify x and y intercepts from a graph.

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

##### 8.A.4.1. Synthesis: Students are able to create rules to explain the relationship between numbers when a change in the first variable affects the second variable.

##### 8.A.4.2. Analysis: Students are able to describe and represent relations using tables, graphs, and rules.

###### 8.A.4.2.a. Represent situations with patterns and relations to find exact or approximate solutions to problems.

###### 8.A.4.2.b. Make predictions relating two variables using a rule or a graph.

### SD.8.G. Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

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

##### 8.G.1.1. Application: Students are able to describe and classify prisms, pyramids, cylinders, and cone.

##### 8.G.1.2. Application: Students, when given any two sides of an illustrated right triangle, are able to use the Pythagorean Theorem to find the third side.

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

##### 8.G.2.1. Application: Students are able to write and solve proportions that express the relationships between corresponding parts of similar quadrilaterals and triangles.

### SD.8.M. Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

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

##### 8.M.1.1. Application: Students are able to apply proportional reasoning to solve measurement problems with rational number measurements.

###### 8.M.1.1.b. Use scale drawings to represent situations.

###### 8.M.1.1.c. Indirect measurement.

##### 8.M.1.2. Comprehension: Students are able to find area, volume, and surface area with whole number measurements.

###### 8.M.1.2.b. Apply strategies and/or formulas.

###### 8.M.1.2.c. Volume of rectangular prisms, rectangular pyramids, cylinders, and cones.

###### 8.M.1.2.d. Surface area of rectangular prisms and cylinders.

### SD.8.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.

#### 8.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.

##### 8.N.1.1. Comprehension: Students are able to represent numbers in a variety of forms and identify the subsets of rational numbers.

###### 8.N.1.1.a. Exponents

###### 8.N.1.1.b. Scientific notation

###### 8.N.1.1.d. Radicals (perfect squares)

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

##### 8.N.2.1. Application: Students are able to read, write, and compute within any subset of rational numbers.

###### 8.N.2.1.a. Solve problems involving discount, markup, commission, profit, and simple interest.

### SD.8.S. Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

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

##### 8.S.1.1. Comprehension: Students are able to find the mean, median, mode, and range of a data set from a stem-and-leaf plot and a line plot.

##### 8.S.1.2. Application: Students are able to use a variety of visual representations to display data to make comparisons and predictions.

###### 8.S.1.2.b. Double line graph

###### 8.S.1.2.c. Scatterplot

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

##### 8.S.2.1. Comprehension: Students are able to find the sample space and compute probability for two simultaneous independent events.

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

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