IXL skill plan | Algebra: Concepts & Connections plan for the Georgia Milestones

Geometric and Spatial Reasoning
Solve problems involving distance, midpoint, slope, area, and perimeter to model and explain real-life phenomena.		Word problems 1. Area and perimeter: word problems 2. Pythagorean theorem: word problems Slope 3. Find the slope of a graph 4. Find the slope from two points 5. Find a missing coordinate using slope Parallel and perpendicular lines 6. Checkpoint: Parallel and perpendicular lines Distance and midpoints 7. Checkpoint: Distance and midpoints in the coordinate plane
Solve problems involving distance, midpoint, slope, area, and perimeter to model and explain real-life phenomena.
Word problems 1. Area and perimeter: word problems 2. Pythagorean theorem: word problems Slope 3. Find the slope of a graph 4. Find the slope from two points 5. Find a missing coordinate using slope Parallel and perpendicular lines 6. Checkpoint: Parallel and perpendicular lines Distance and midpoints 7. Checkpoint: Distance and midpoints in the coordinate plane

Numerical Reasoning
Investigate rational and irrational numbers and rewrite expressions involving square roots and cube roots.		1. Simplify radical expressions: mixed review 2. Classify rational and irrational numbers 3. Properties of operations on rational and irrational numbers
Investigate rational and irrational numbers and rewrite expressions involving square roots and cube roots.
1. Simplify radical expressions: mixed review 2. Classify rational and irrational numbers 3. Properties of operations on rational and irrational numbers

Patterning and Algebraic Reasoning
Create, analyze, and solve linear inequalities in two variables and systems of linear inequalities to model real-life phenomena.		1. Linear inequalities: solve for y 2. Write a linear inequality from a graph 3. Checkpoint: Linear inequalities and systems of inequalities
Create, analyze, and solve linear inequalities in two variables and systems of linear inequalities to model real-life phenomena.
1. Linear inequalities: solve for y 2. Write a linear inequality from a graph 3. Checkpoint: Linear inequalities and systems of inequalities

Build quadratic expressions and equations to represent and model real-life phenomena; solve quadratic equations in mathematically applicable situations.		Expressions 1. Add and subtract polynomials 2. Multiply two binomials 3. Multiply two binomials: special cases 4. Factor quadratics with other leading coefficients 5. Factor quadratics: special cases 6. Interpret parts of quadratic expressions: word problems Equations 7. Checkpoint: Solve quadratic equations
Build quadratic expressions and equations to represent and model real-life phenomena; solve quadratic equations in mathematically applicable situations.
Expressions 1. Add and subtract polynomials 2. Multiply two binomials 3. Multiply two binomials: special cases 4. Factor quadratics with other leading coefficients 5. Factor quadratics: special cases 6. Interpret parts of quadratic expressions: word problems Equations 7. Checkpoint: Solve quadratic equations

Create and analyze exponential expressions and equations to represent and model real-life phenomena; solve exponential equations in mathematically applicable situations.		1. Exponential growth and decay: word problems 2. Compound interest: word problems 3. Checkpoint: Write and interpret exponential functions
Create and analyze exponential expressions and equations to represent and model real-life phenomena; solve exponential equations in mathematically applicable situations.
1. Exponential growth and decay: word problems 2. Compound interest: word problems 3. Checkpoint: Write and interpret exponential functions

Functional and Graphical Reasoning
Construct and interpret arithmetic sequences as functions, algebraically and graphically, to model and explain real-life phenomena. Use formal notation to represent linear functions and the key characteristics of graphs of linear functions, and informally compare linear and non-linear functions using parent graphs.		Arithmetic sequences 1. Write variable expressions for arithmetic sequences 2. Write a recursive formula: arithmetic sequences 3. Convert between explicit and recursive formulas: arithmetic sequences Linear functions 4. Interpret functions using everyday language 5. Evaluate a linear function from its graph: word problems 6. Complete a table and graph a linear function 7. Checkpoint: Write linear functions 8. Checkpoint: Graph and analyze linear functions Linear and nonlinear functions 9. Identify linear, quadratic, and exponential functions from graphs
Construct and interpret arithmetic sequences as functions, algebraically and graphically, to model and explain real-life phenomena. Use formal notation to represent linear functions and the key characteristics of graphs of linear functions, and informally compare linear and non-linear functions using parent graphs.
Arithmetic sequences 1. Write variable expressions for arithmetic sequences 2. Write a recursive formula: arithmetic sequences 3. Convert between explicit and recursive formulas: arithmetic sequences Linear functions 4. Interpret functions using everyday language 5. Evaluate a linear function from its graph: word problems 6. Complete a table and graph a linear function 7. Checkpoint: Write linear functions 8. Checkpoint: Graph and analyze linear functions Linear and nonlinear functions 9. Identify linear, quadratic, and exponential functions from graphs

Construct and interpret quadratic functions from data points to model and explain real-life phenomena; describe key characteristics of the graph of a quadratic function to explain a mathematically applicable situation for which the graph serves as a model.		Describe and graph quadratic functions 1. Characteristics of quadratic functions: equations 2. Complete a function table: quadratic functions 3. Domain and range of quadratic functions: equations 4. Checkpoint: Graphs and transformations of quadratic functions Write quadratic functions 5. Write a quadratic function in vertex form 6. Write a quadratic function in vertex form from its vertex and another point
Construct and interpret quadratic functions from data points to model and explain real-life phenomena; describe key characteristics of the graph of a quadratic function to explain a mathematically applicable situation for which the graph serves as a model.
Describe and graph quadratic functions 1. Characteristics of quadratic functions: equations 2. Complete a function table: quadratic functions 3. Domain and range of quadratic functions: equations 4. Checkpoint: Graphs and transformations of quadratic functions Write quadratic functions 5. Write a quadratic function in vertex form 6. Write a quadratic function in vertex form from its vertex and another point

Construct and analyze the graph of an exponential function to explain a mathematically applicable situation for which the graph serves as a model; compare exponential with linear and quadratic functions.		Geometric sequences 1. Write variable expressions for geometric sequences 2. Write a recursive formula: geometric sequences 3. Convert between explicit and recursive formulas: geometric sequences Exponential functions 4. Evaluate an exponential function 5. Checkpoint: Graph and analyze exponential functions Linear, quadratic, and exponential functions 6. Checkpoint: Evaluate and compare functions
Construct and analyze the graph of an exponential function to explain a mathematically applicable situation for which the graph serves as a model; compare exponential with linear and quadratic functions.
Geometric sequences 1. Write variable expressions for geometric sequences 2. Write a recursive formula: geometric sequences 3. Convert between explicit and recursive formulas: geometric sequences Exponential functions 4. Evaluate an exponential function 5. Checkpoint: Graph and analyze exponential functions Linear, quadratic, and exponential functions 6. Checkpoint: Evaluate and compare functions

Data and Statistical Reasoning
Collect, analyze, and interpret univariate quantitative data to answer statistical investigative questions that compare groups to solve real-life problems; Represent bivariate data on a scatter plot and fit a function to the data to answer statistical questions and solve real-life problems.		Univariate data 1. Choose appropriate measures of center and variation 2. Checkpoint: Compare data sets Bivariate data 3. Interpret a scatter plot 4. Analyze a regression line of a data set 5. Checkpoint: Linear modeling
Collect, analyze, and interpret univariate quantitative data to answer statistical investigative questions that compare groups to solve real-life problems; Represent bivariate data on a scatter plot and fit a function to the data to answer statistical questions and solve real-life problems.
Univariate data 1. Choose appropriate measures of center and variation 2. Checkpoint: Compare data sets Bivariate data 3. Interpret a scatter plot 4. Analyze a regression line of a data set 5. Checkpoint: Linear modeling

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