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Unit One: Numerical Representations

Students will be able to:
• Represent and use real numbers in a variety of forms
• Represent sets and subsets visually
• Describe relationships between sets of real numbers
• Locate irrational numbers on a number line
• Approximate the value of irrational numbers
• Convert between standard decimal notations and scientific notation
• Order real numbers arising from mathematical contexts
• Order real numbers arising from real-world contextx

Unit Two: Equations

Students will be able to:
• Graph linear relationships
• Identify and interpret the meaning of slope
• Graph proportional relationship
• Interpret the unit rate of proportional relationships as the slope of the line that models the relationship
• Compare different proportional relationship represented in different ways
• Use similar right triangles to develop an understanding of slope
• Use data from a table to determine the rate of change
• Represent y = kx in tables, graphs, and equations
• Represent y = mx + b in tables, graphs, and equations
• Solve problems involving direct variation
• Distinguish between proportional and linear non-proportional situations using tables, graphs, and equations
• Write an equation in the form of y = mx + b to model a linear relationship
• Write one-variable equations with variables on both sides
• Write one-variable inequalities with variables on both sides
• Write a real world problem when given one-variable equations with variables on both sides
• Write a real-world problem when given one-variable inequalities with variables on both sides
• Model and solve one-variable equations with variables on both sides
• Identify the values of x and y that satisfy two linear equations
• Verify the values of x and y that satisfy two linear equations

Unit Three A: Geometry: Relationships and Transformations

Students will be able to:

• Compare and contrast the attributes of a shape and its dilation on a coordinate plane
• Use an algebraic representation to explain the effects of a scale factor applied to a two-dimensional figure on a coordinate plane
• Identify angle pairs and relationships when parallel lines are cut by a transversal
• Solve problems and determine the measures of angles formed by parallel lines and transversals using equations with one variables
• Solve problems involving interior and exterior angles of triangles using equations with one variable
• Solve problems involving angle sums of triangles using equations with one variable
• Recognize translations, rotations, reflections, and dilations in models
• Determine the effect of transformations (translations, reflections, rotations, and dilations) on two-dimensional figures on a coordinate plane
• Differentiate transformations that preserve congruence and those that do not
• Explain the effects of translations to two-dimensional shapes on a coordinate plane using algebraic representations
• Explain the effects of reflections over the x and y-axis to two-dimensional shapes on a coordinate plane using algebraic representations
• Explain the effects of rotations to two-dimensional shapes on a coordinate plane using algebraic representations
• Model the effect on linear (perimeter/circumference)and area

Unit Three B: Geometry: Pythagorean Theorem/Surface Area

Students will be able to:
• Make connections to geometric formulas
• Describe the volume formula, V - Bh, of a cylinder in terms of its base area and height
• Model the relationship between the volume of a cylinder and a cone having the same base area and height
• Solve problems involving volume of cylinders, cones, and spheres
• Solve surface area problems (lateral and total) involving rectangular prisms, triangular prisms, and cylinders
• Use previous knowledge of surface area to make connections to the formulas for lateral and total surface areas of rectangular prisms, triangular prisms, and cylinders
• Use models and diagrams to explain the Pythagorean Theorem
• Use the Pythagorean Theorem to solve problems
• Use the converse of the Pythagorean Theorem to determine if a triangles is a right triangles
• Determine the distance between two points on a coordinate plane using the Pythagorean Theorem.

Unit Four: Functions

Students will be able to:
• Graph linear relationships
• Identify and interpret the meaning of slope in graphs
• Graph proportional relationships
• Interpret the unit rate of proportional relationships as the slope of the line that models the relationship
• Use data from a table to determine the rate of change or slope and y - intercept in mathematical problems
• Use data from a table to determine the rate of change or slope and  y - intercept in real-world problems
• Use data from a graph to determine the rate of change or slope and y - intercept in mathematical problems
• Use data from a graph to determine the rate of change or slope and y - intercept in real-world problems
• Represent y = kx in tables, graphs, and equations (proportional)
• Represent y = mx + b in tables, graphs, and equations (linear non-proportional)
• Distinguish between proportional and linear non-proportional situations using tables, graphs, and equations in mathematical and real-world situations
• Write an equations in the form of y = mx + b to model a linear relationship from tables, graphs, numerical and verbal representations
• Construct scatterplots and describe the data (linear, non-linear, no association)
• Represent functions with tables, graphs and equations
• Determine if a function is linear or non-linear
• Use a trend line to approximate the linear relationship of data to make predictions
• Identify functions using sets of ordered pairs, tables, mappings and graphs

Unit Five: Probability & Statistics

Students will be able to:
• Contrast scatterplots that do and do not suggest linear relationships
• Construct scatterplots and describe the data (positive trend, negative trend, or no trend)
• Construct scatterplots and describe the data (linear, non-linear, or no association
• Use a trend line to approximate the linear relationship of data to make predictions
• Determine the mean absolute deviation of a set of no more than 10 data points

Unit Six: Personal Financial Literacy

Students will be able to:
• Solve real-world problems comparing how interest rate and loan length affect the cost of credit
•  Compare loans with different interest rates
• Compare loans with different lengths
• Calculate the total cost of loans with different interest rates using an online calculator
• Calculate the total cost of loans with different loan lengths using an online calculator
• Explain how continuously investing can grow over time (exponentially)
• Calculate simple interest
• Calculate compound interest
• Compare simple and compound interest
• Identify advantages and disadvantages of different payment methods (stored value cards, debit cards, and online payment systems)
• Analyze situations to determine if they represent financially responsible decisions
• Identify the benefits of financial responsibility
• Identify the costs of financial irresponsibility
• Outline a plan to pay for a two-year or four-year college education