IXL skill plan | Math 8 / Pre-Algebra plan for Chesapeake Public Schools

Skill plan for Chesapeake Public Schools - Math 8 / Pre-Algebra

IXL provides skill alignments with recommended IXL skills for every student. Find the IXL skills that are right for you below!

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1	Unit 1 Real Numbers & Comparing & Ordering Rational Numbers
8.NS.1: The student will compare and order real numbers and determine the relationships between real numbers.		Rational numbers 1. Compare and order integers 2. Compare rational numbers 3. Put rational numbers in order 4. Compare percents to fractions and decimals Scientific notation 5. Compare numbers written in scientific notation Irrational numbers 6. Estimate positive square roots 7. Estimate positive and negative square roots 8. Irrational numbers on number lines Real numbers 9. Compare and order rational and irrational numbers
8.NS.1: The student will compare and order real numbers and determine the relationships between real numbers.
Rational numbers 1. Compare and order integers 2. Compare rational numbers 3. Put rational numbers in order 4. Compare percents to fractions and decimals Scientific notation 5. Compare numbers written in scientific notation Irrational numbers 6. Estimate positive square roots 7. Estimate positive and negative square roots 8. Irrational numbers on number lines Real numbers 9. Compare and order rational and irrational numbers

8.NS.2: The student will investigate and describe the relationship between the subsets of the real number system.		1. Identify rational and irrational square roots 2. Identify rational and irrational numbers 3. Classify numbers
8.NS.2: The student will investigate and describe the relationship between the subsets of the real number system.
1. Identify rational and irrational square roots 2. Identify rational and irrational numbers 3. Classify numbers

Checkpoint opportunity		1. Checkpoint: Classify real numbers 2. Checkpoint: Compare and order real numbers
Checkpoint opportunity
1. Checkpoint: Classify real numbers 2. Checkpoint: Compare and order real numbers

2	Unit 2 Expressions & Order of Operations
8.PFA.1: The student will represent, simplify, and generate equivalent algebraic expressions in one variable.		Use models 1. Simplify expressions by combining like terms: with algebra tiles 2. Multiply using the distributive property: area models 3. Identify equivalent linear expressions using algebra tiles Simplify expressions 4. Simplify expressions by combining like terms 5. Multiply using the distributive property 6. Write equivalent expressions using properties 7. Add and subtract linear expressions Identify equivalent linear expressions 8. Identify equivalent linear expressions I 9. Identify equivalent linear expressions II 10. Identify equivalent linear expressions: word problems
8.PFA.1: The student will represent, simplify, and generate equivalent algebraic expressions in one variable.
Use models 1. Simplify expressions by combining like terms: with algebra tiles 2. Multiply using the distributive property: area models 3. Identify equivalent linear expressions using algebra tiles Simplify expressions 4. Simplify expressions by combining like terms 5. Multiply using the distributive property 6. Write equivalent expressions using properties 7. Add and subtract linear expressions Identify equivalent linear expressions 8. Identify equivalent linear expressions I 9. Identify equivalent linear expressions II 10. Identify equivalent linear expressions: word problems

3	Unit 3 Equations
8.PFA.4: The student will write and solve multi-step linear equations in one variable, including problems in context that require the solution of a multi-step linear equation in one variable.		Use models 1. Model and solve equations using algebra tiles 2. Write and solve equations that represent diagrams Properties of equality 3. Properties of equality 4. Identify equivalent equations Two-step equations 5. Solve two-step equations 6. Solve equations involving like terms 7. Solve two-step equations: complete the solution Multi-step equations 8. Solve equations with variables on both sides 9. Solve equations with variables on both sides: fractional coefficients 10. Solve equations using the distributive property 11. Solve multi-step equations 12. Solve multi-step equations with fractional coefficients 13. Solve equations: mixed review 14. Solve multi-step equations: complete the solution Confirm solutions 15. Which x satisfies an equation? Word problems 16. Solve two-step equations: word problems 17. Solve equations with variables on both sides: word problems
8.PFA.4: The student will write and solve multi-step linear equations in one variable, including problems in context that require the solution of a multi-step linear equation in one variable.
Use models 1. Model and solve equations using algebra tiles 2. Write and solve equations that represent diagrams Properties of equality 3. Properties of equality 4. Identify equivalent equations Two-step equations 5. Solve two-step equations 6. Solve equations involving like terms 7. Solve two-step equations: complete the solution Multi-step equations 8. Solve equations with variables on both sides 9. Solve equations with variables on both sides: fractional coefficients 10. Solve equations using the distributive property 11. Solve multi-step equations 12. Solve multi-step equations with fractional coefficients 13. Solve equations: mixed review 14. Solve multi-step equations: complete the solution Confirm solutions 15. Which x satisfies an equation? Word problems 16. Solve two-step equations: word problems 17. Solve equations with variables on both sides: word problems

Checkpoint opportunity		1. Checkpoint: Solve linear equations
Checkpoint opportunity
1. Checkpoint: Solve linear equations

4	Unit 4 Inequalities
8.PFA.5: The student will create and solve multi-step linear inequalities in one variable, including problems in context that require the solution of a multi-step linear inequality in one variable.		1. Solutions to inequalities 2. Solve multi-step inequalities 3. Graph solutions to multi-step inequalities 4. Solve inequalities with integers: variables on both sides 5. Solve inequalities with decimals: variables on both sides
8.PFA.5: The student will create and solve multi-step linear inequalities in one variable, including problems in context that require the solution of a multi-step linear inequality in one variable.
1. Solutions to inequalities 2. Solve multi-step inequalities 3. Graph solutions to multi-step inequalities 4. Solve inequalities with integers: variables on both sides 5. Solve inequalities with decimals: variables on both sides

Checkpoint opportunity		1. Checkpoint: Solve multi-step inequalities
Checkpoint opportunity
1. Checkpoint: Solve multi-step inequalities

5	Unit 5 Consumer Applications
8.CE.1: The student will estimate and apply proportional reasoning and computational procedures to solve contextual problems.		Tax, tip, discount, and markup 1. Percent of a number: tax, discount, and more 2. Find the percent: tax, discount, and more 3. Estimate tips Multi-step problems 4. Percent of change: word problems 5. Multi-step problems with percents
8.CE.1: The student will estimate and apply proportional reasoning and computational procedures to solve contextual problems.
Tax, tip, discount, and markup 1. Percent of a number: tax, discount, and more 2. Find the percent: tax, discount, and more 3. Estimate tips Multi-step problems 4. Percent of change: word problems 5. Multi-step problems with percents

6	Unit 6 Functions, Domain, & Range
8.PFA.2: The student will determine whether a given relation is a function and determine the domain and range of a function.		1. Identify functions 2. Domain and range of functions
8.PFA.2: The student will determine whether a given relation is a function and determine the domain and range of a function.
1. Identify functions 2. Domain and range of functions

Checkpoint opportunity		1. Checkpoint: Understand functions
Checkpoint opportunity
1. Checkpoint: Understand functions

7	Unit 7 Slope & Y-Intercept
8.PFA.3: The student will describe key characteristics of linear functions including slope (m), y-intercept (b), and independent and dependent variables.		Independent and dependent variables 1. Identify independent and dependent variables Characteristics of linear functions 2. Find the slope from a graph 3. Find the slope from two points 4. Find the slope from a table 5. Slope-intercept form: find the slope and y-intercept 6. Interpret the slope and y-intercept of a linear function
8.PFA.3: The student will describe key characteristics of linear functions including slope (m), y-intercept (b), and independent and dependent variables.
Independent and dependent variables 1. Identify independent and dependent variables Characteristics of linear functions 2. Find the slope from a graph 3. Find the slope from two points 4. Find the slope from a table 5. Slope-intercept form: find the slope and y-intercept 6. Interpret the slope and y-intercept of a linear function

Checkpoint opportunity		1. Checkpoint: Interpret slopes and y-intercepts
Checkpoint opportunity
1. Checkpoint: Interpret slopes and y-intercepts

8	Unit 8 Graphing & Writing Linear Equations in Slope-Intercept Form
8.PFA.3: The student will represent and solve problems, including those in context, by using linear functions and analyzing their key characteristics (the value of the y-intercept (b) and the coordinates of the ordered pairs in graphs will be limited to integers).		Graphs 1. Graph a line from an equation in slope-intercept form Tables 2. Complete a table for a linear function 3. Complete a table and graph a linear function 4. Complete a table for the graph of a line Equations 5. Write a linear equation from a slope and y-intercept 6. Write a linear equation from a graph 7. Write a linear equation from a slope and a point 8. Write a linear equation from two points 9. Write a linear function from a table 10. Write linear functions: word problems
8.PFA.3: The student will represent and solve problems, including those in context, by using linear functions and analyzing their key characteristics (the value of the y-intercept (b) and the coordinates of the ordered pairs in graphs will be limited to integers).
Graphs 1. Graph a line from an equation in slope-intercept form Tables 2. Complete a table for a linear function 3. Complete a table and graph a linear function 4. Complete a table for the graph of a line Equations 5. Write a linear equation from a slope and y-intercept 6. Write a linear equation from a graph 7. Write a linear equation from a slope and a point 8. Write a linear equation from two points 9. Write a linear function from a table 10. Write linear functions: word problems

Checkpoint opportunity		1. Checkpoint: Construct, interpret, and graph linear functions
Checkpoint opportunity
1. Checkpoint: Construct, interpret, and graph linear functions

9	Unit 9 Probability
8.PS.1: The student will use statistical investigation to determine the probability of independent and dependent events, including those in context.		1. Identify independent and dependent events 2. Probability of independent and dependent events
8.PS.1: The student will use statistical investigation to determine the probability of independent and dependent events, including those in context.
1. Identify independent and dependent events 2. Probability of independent and dependent events

10	Unit 10 Statistics
8.PS.2: The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on boxplots.		Sampling 1. Identify statistical questions 2. Identify representative, random, and biased samples Outliers 3. Identify an outlier Box plots 4. Calculate quartiles and interquartile range 5. Box plots 6. Compare populations using box plots Choose the best type of graph 7. Choose the best type of graph
8.PS.2: The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on boxplots.
Sampling 1. Identify statistical questions 2. Identify representative, random, and biased samples Outliers 3. Identify an outlier Box plots 4. Calculate quartiles and interquartile range 5. Box plots 6. Compare populations using box plots Choose the best type of graph 7. Choose the best type of graph

8.PS.3: The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on scatterplots.		Create scatter plots 1. Create scatter plots Analyze scatter plots 2. Interpret scatter plots 3. Identify trends with scatter plots 4. Make predictions with scatter plots 5. Outliers in scatter plots Lines of best fit 6. Identify lines of best fit 7. Write equations for lines of best fit
8.PS.3: The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on scatterplots.
Create scatter plots 1. Create scatter plots Analyze scatter plots 2. Interpret scatter plots 3. Identify trends with scatter plots 4. Make predictions with scatter plots 5. Outliers in scatter plots Lines of best fit 6. Identify lines of best fit 7. Write equations for lines of best fit

Checkpoint opportunity		1. Checkpoint: Scatter plots and lines of best fit
Checkpoint opportunity
1. Checkpoint: Scatter plots and lines of best fit

11	Unit 11 Transformations
8.MG.3: The student will apply translations and reflections to polygons in the coordinate plane.		Translations 1. Translations: graph the image 2. Translations: find the coordinates Reflections 3. Reflections over the x- and y-axes: graph the image 4. Reflections over the x- and y-axes: find the coordinates Translations and reflections 5. Identify reflections and translations 6. Sequences of transformations: translations and reflections
8.MG.3: The student will apply translations and reflections to polygons in the coordinate plane.
Translations 1. Translations: graph the image 2. Translations: find the coordinates Reflections 3. Reflections over the x- and y-axes: graph the image 4. Reflections over the x- and y-axes: find the coordinates Translations and reflections 5. Identify reflections and translations 6. Sequences of transformations: translations and reflections

12	Unit 12 Pythagorean Theorem
8.MG.4: The student will apply the Pythagorean Theorem to solve problems involving right triangles, including those in context.		Converse of the Pythagorean theorem 1. Converse of the Pythagorean theorem: is it a right triangle? Pythagorean theorem 2. Pythagorean theorem: find the length of the hypotenuse 3. Pythagorean theorem: find the missing leg length 4. Pythagorean theorem: find the missing leg or hypotenuse length 5. Pythagorean theorem: find the perimeter 6. Pythagorean theorem: word problems
8.MG.4: The student will apply the Pythagorean Theorem to solve problems involving right triangles, including those in context.
Converse of the Pythagorean theorem 1. Converse of the Pythagorean theorem: is it a right triangle? Pythagorean theorem 2. Pythagorean theorem: find the length of the hypotenuse 3. Pythagorean theorem: find the missing leg length 4. Pythagorean theorem: find the missing leg or hypotenuse length 5. Pythagorean theorem: find the perimeter 6. Pythagorean theorem: word problems

Checkpoint opportunity		1. Checkpoint: The Pythagorean theorem
Checkpoint opportunity
1. Checkpoint: The Pythagorean theorem

13	Unit 13 Angles
8.MG.1: The student will use the relationships among pairs of angles that are vertical angles, adjacent angles, supplementary angles, and complementary angles to determine the measure of unknown angles.		1. Identify complementary, supplementary, vertical, adjacent, and congruent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships
8.MG.1: The student will use the relationships among pairs of angles that are vertical angles, adjacent angles, supplementary angles, and complementary angles to determine the measure of unknown angles.
1. Identify complementary, supplementary, vertical, adjacent, and congruent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships

14	Unit 14 2-Dimensional Geometry
8.MG.5: The student will solve area and perimeter problems involving composite plane figures, including those in context.		1. Area of parallelograms 2. Area of trapezoids 3. Area of composite figures 4. Perimeter of parallelograms and trapezoids 5. Semicircles: calculate area, perimeter, radius, and diameter
8.MG.5: The student will solve area and perimeter problems involving composite plane figures, including those in context.
1. Area of parallelograms 2. Area of trapezoids 3. Area of composite figures 4. Perimeter of parallelograms and trapezoids 5. Semicircles: calculate area, perimeter, radius, and diameter

15	Unit 15 3-Dimensional Figures
8.MG.2: The student will investigate and determine the surface area of square-based pyramids and the volume of cones and square-based pyramids.		1. Surface area of rectangular pyramids 2. Volume of cones 3. Volume of rectangular pyramids
8.MG.2: The student will investigate and determine the surface area of square-based pyramids and the volume of cones and square-based pyramids.
1. Surface area of rectangular pyramids 2. Volume of cones 3. Volume of rectangular pyramids