Sept

Oct

Oct/Nov

Dec/Jan

Jan/Feb

Content & Unit Title

Symmetry and Transformations

Mini Unit (no text)

Geometry

Mini Unit (no text)

Linear Relationships

“Thinking With Mathematical Models”

Square Roots and the Pythagorean Theorem

“Looking For Pythagoras”

Laws of Exponents

“Growing, Growing, Growing”

8^th Grade Performance Expectations

8.2.D  Represent and explain the effect of one or more translations, rotations, reflections, or dilations (centered at the origin) of a geometric figure on the coordinate plane.

8.2.A  Identify pairs of angles as complementary, supplementary, adjacent, or vertical, and use these relationships to determine missing angle measures.

8.2.B  Determine missing angle measures using the relationships among the angles formed by parallel lines and transversals.

8.2.C  Demonstrate that the sum of the angle measures in a triangle is 180 degrees, and apply this fact to determine the sum of the angle measures of  polygons and to determine unknown angle measures.

8.1.A  Solve one-variable linear equations.

8.1.C  Represent a linear function with a verbal description, table, graph, or symbolic expression, and make connections among these representations.

8.1.D  Determine the slope and y-intercept of a linear function described by a symbolic expression, table, or graph.

8.1.E  Interpret the slope and y-intercept of the graph of a linear function representing a contextual situation.

8.1.F  Solve single- and multi-step word problems involving linear functions and verify the solutions.

8.1.G  Determine and justify whether a given verbal description, table, graph, or symbolic expression represents a linear relationship.

8.2.E  Quickly recall the square roots of the perfect squares from 1 through 225 and estimate the square roots of other positive numbers.

8.2.F  Demonstrate the Pythagorean Theorem and its converse and apply them to solve problems.

8.2.G  Apply the Pythagorean Theorem to determine the distance between two points on the coordinate plane.

8.4.D  Identify rational and irrational numbers.

8.4 A  Represent numbers in scientific notation, and translate numbers written in scientific notation into standard form.

8.4 B  Solve problems involving operations with numbers in scientific notation and verify solutions.

8.4 C  Evaluate numerical expressions involving non-negative integer exponents using the laws of exponents and the order of operations.

8.4 D  Identify rational and irrational numbers.

Key Vocabulary

Clockwise

Congruent

Counterclockwise

Dilation

Hexagon

Image

Octagon

Parallelogram

Pentagon

Regular Polygon

Reflection

Rotation

Symmetry

Transformation

Translation

Adjacent Angles

Complementary Angles

Corresponding Angles

Intersecting Lines

Parallel

Perpendicular

Supplementary Angles

Transversal

Vertical Angles

Constant Rate

Coordinate Plane

Equation Model

Function

Graph Model

Horizontal Axis

Inequality

Intercept

Line Graph

Linear Equation

Linear Function

Ordered Pair

Origin

Scale (axis)

Slope

Table Model

Trend Line

y-intercept

Variable

Vertical Axis

Exponent

Hypotenuse

Irrational Number

Perfect Square

Power (exponent)

Pythagorean Theorem

Radical

Rational Number

Right Triangle

Square Root

Exponent

Irrational Number

Law of Exponents

Rational Number

Scientific Notation

Standard Form

Essential Questions

How can I use symmetry to describe the shapes and properties of figures in a design?

What are some real life applications of the math we are learning?

What are the relationships between angles and how can I use those relationships to find other angles?

What are some real life applications of the math we are learning?

What are linear relationships and what are the benefits of being able to display them in different ways?

What are some real life applications of the math we are learning?

What is the Pythagorean Theorem and how can it be used to solve problems?

What are some real life applications of the math we are learning?

What properties do exponents have and how can I use those properties to simplify or solve problems?

What are some real life applications of the math we are learning?

Feb

Mar

Apr/May

May/June

June  (if time allows)

Content & Unit Title

Symbolic Representations

“Say It With Symbols”

Probability & Counting Techniques

Mini Unit (no text)

Data and Statistics

“Samples and Populations”

Linear Systems and Inequalities

“The Shapes of Algebra”

Quadratic Relationships

“Frogs, Fleas, and Painted Cubes”

8^th Grade Performance Expectations

8.1 A  Solve one-variable linear equations.

8.1 C  Represent a linear function with a verbal description, table, graph, or symbolic expression, and make connections among these representations.

8.1 D  Determine the slope and y-intercept of a linear function described by a symbolic expression, table, or graph.

8.1 F  Solve single- and multi-step word problems involving linear functions and verify the solutions.

8.3 F  Determine probabilities for mutually exclusive, dependent, and independent events for small sample spaces.

8.3 G  Solve single- and multi-step problems using counting techniques and Venn diagrams and verify the solutions. 

8.3.A  Summarize and compare data sets in terms of variability and measures of center.

8.3.B  Select, construct, and analyze data displays, including box-and-whisker plots, to compare two sets of data.

8.3.C  Create a scatter plot for a two-variable data set, and, when appropriate, sketch and use a trend line to make predictions.

8.3.D  Describe different methods of selecting statistical samples and analyze the strengths and weaknesses of each method.

8.3.E  Determine whether conclusions of statistical studies reported in the media are reasonable.

8.1 B  Solve one- and two-step linear inequalities and graph the solutions on the number line.

8.1 E  Interpret the slope and y-intercept of the graph of a linear function representing a contextual situation.

8.1 F  Solve single- and multi-step word problems involving linear functions and verify the solutions.

8.1 G  Determine and justify whether a given verbal description, table, graph, or symbolic expression represents a linear relationship

8.1 G  Determine and justify whether a given verbal description, table, graph, or symbolic expression represents a linear relationship

Alg1.5.A  Represent a quadratic function with a symbolic expression, as a graph, in a table, and with a description, and make connections among the representations.

Alg1.5.B  Sketch the graph of a quadratic function, describe the effects that changes in the parameters have on the graph, and interpret the x-intercepts as solutions to a quadratic equation.

Alg1.5.C  Solve quadratic equations that can be factored as (ax + b)(cx + d) where a, b, c, and d are integers.

Key Vocabulary

Function

Linear

Linear Equation

Linear Function

Variable

Dependent Events

Independent Events

Mutually Exclusive

Outcome

Sample Space

Venn Diagram

Box-and-Whisker Plot

Cluster

Interquartile Range

Lower Quartile

Maximum

Mean

Measure of Center

Median

Minimum

Mode

Outlier

Population

Quartile

Random Sample

Range

Scatter Plot

Stem-and-Leaf Plot

Survey

Trend Line

Upper Quartile

Variability

Coordinate Plane

Function

Horizontal Axis

Inequality

Intercept

Line Graph

Linear

Linear Equation

Linear Function

Linear Inequality

Ordered Pair

Origin

Scale (axis)

Slope

Trend Line

Variable

Vertical Axis

Constant

Exponent

Factor

Factored Form

Like Terms

Line of Symmetry

Quadratic

Parabola

Maximum Value

Minimum Value

Term

Essential Questions

What do the symbols in algebra mean and how do I use them to represent various situations?

What are some real life applications of the math we are learning?

How can I calculate the probability of events occurring?

How can I count the number of combinations/permutations in a situation efficiently?

What are some real life applications of the math we are learning?

What strategies can you use to collect, analyze, and interpret data?

What are some real life applications of the math we are learning?

How can I use a system of equations to represent and solve a situation?

What are some real life applications of the math we are learning?

What are quadratic relationships and what are the benefits of being able to display them in different ways?

What are some real life applications of the math we are learning?