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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
     
     
     
     
     

     


Last Modified on August 12, 2018