IXL skill plan | Pre-Algebra 7 plan for Chesapeake Public Schools

Skill plan for Chesapeake Public Schools - Pre-Algebra 7

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
7.NS.1: The student will investigate and describe the concept of exponents for powers of ten and compare and order numbers greater than zero written in scientific notation.		1. Evaluate powers of ten with negative exponents 2. Powers of ten with negative exponents 3. Scientific notation 4. Compare numbers written in scientific notation
7.NS.1: The student will investigate and describe the concept of exponents for powers of ten and compare and order numbers greater than zero written in scientific notation.
1. Evaluate powers of ten with negative exponents 2. Powers of ten with negative exponents 3. Scientific notation 4. Compare numbers written in scientific notation

7.NS.2: The student will reason and use multiple strategies to compare and order rational numbers.		1. Compare and order rational numbers using number lines 2. Compare rational numbers 3. Put rational numbers in order 4. Compare percents to fractions and decimals 5. Compare and order rational numbers: word problems
7.NS.2: The student will reason and use multiple strategies to compare and order rational numbers.
1. Compare and order rational numbers using number lines 2. Compare rational numbers 3. Put rational numbers in order 4. Compare percents to fractions and decimals 5. Compare and order rational numbers: word problems

7.NS.3: The student will recognize and describe the relationship between square roots and perfect squares.		1. Square roots of perfect squares 2. Square numbers
7.NS.3: The student will recognize and describe the relationship between square roots and perfect squares.
1. Square roots of perfect squares 2. Square numbers

8.NS.1: The student will compare and order real numbers and determine the relationship between real numbers.		1. Estimate positive square roots 2. Estimate positive and negative square roots 3. Irrational numbers on number lines 4. Compare and order rational and irrational numbers
8.NS.1: The student will compare and order real numbers and determine the relationship between real numbers.
1. Estimate positive square roots 2. Estimate positive and negative square roots 3. Irrational numbers on number lines 4. 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
7.PFA.2: The student will simplify numerical expressions, simplify and generate equivalent algebraic expressions in one variable, and evaluate algebraic expressions for given replacement values of the variables.		Order of operations 1. Evaluate numerical expressions involving exponents Algebraic expressions 2. Evaluate variable expressions 3. Evaluate multi-variable expressions 4. Evaluate absolute value expressions
7.PFA.2: The student will simplify numerical expressions, simplify and generate equivalent algebraic expressions in one variable, and evaluate algebraic expressions for given replacement values of the variables.
Order of operations 1. Evaluate numerical expressions involving exponents Algebraic expressions 2. Evaluate variable expressions 3. Evaluate multi-variable expressions 4. Evaluate absolute value expressions

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
7.PFA.3: The student will write and solve two-step linear equations in one variable, including problems in context, that require the solution of a two-step linear equation in one variable.		Use models 1. Model and solve equations using algebra tiles 2. Write and solve equations that represent diagrams Solve equations 3. Solve two-step equations without parentheses 4. Solve two-step equations: complete the solution 5. Solve equations of the form px + q = r with fractions Confirm solutions 6. Which x satisfies a two-step equation? Word problems 7. Choose two-step equations: word problems 8. Solve two-step equations: word problems
7.PFA.3: The student will write and solve two-step linear equations in one variable, including problems in context, that require the solution of a two-step linear equation in one variable.
Use models 1. Model and solve equations using algebra tiles 2. Write and solve equations that represent diagrams Solve equations 3. Solve two-step equations without parentheses 4. Solve two-step equations: complete the solution 5. Solve equations of the form px + q = r with fractions Confirm solutions 6. Which x satisfies a two-step equation? Word problems 7. Choose two-step equations: word problems 8. Solve two-step equations: 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.		Properties of equality 1. Properties of equality 2. Identify equivalent equations Multi-step equations 3. Solve equations with variables on both sides 4. Solve equations with variables on both sides: fractional coefficients 5. Solve equations using the distributive property 6. Solve multi-step equations 7. Solve multi-step equations with fractional coefficients 8. Solve equations: mixed review 9. Solve multi-step equations: complete the solution Confirm solutions 10. Which x satisfies an equation? Word problems 11. 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.
Properties of equality 1. Properties of equality 2. Identify equivalent equations Multi-step equations 3. Solve equations with variables on both sides 4. Solve equations with variables on both sides: fractional coefficients 5. Solve equations using the distributive property 6. Solve multi-step equations 7. Solve multi-step equations with fractional coefficients 8. Solve equations: mixed review 9. Solve multi-step equations: complete the solution Confirm solutions 10. Which x satisfies an equation? Word problems 11. 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
7.PFA.4: The student will write and solve one- and two-step linear inequalities in one variable, including problems in context, that require the solution of a one- and two-step linear inequality in one variable.		Solutions to inequalities 1. Solutions to inequalities One-step inequalities 2. Solve one-step inequalities 3. Graph solutions to one-step inequalities Two-step inequalities 4. Solve two-step inequalities 5. Graph solutions to two-step inequalities Word problems 6. One-step inequalities: word problems
7.PFA.4: The student will write and solve one- and two-step linear inequalities in one variable, including problems in context, that require the solution of a one- and two-step linear inequality in one variable.
Solutions to inequalities 1. Solutions to inequalities One-step inequalities 2. Solve one-step inequalities 3. Graph solutions to one-step inequalities Two-step inequalities 4. Solve two-step inequalities 5. Graph solutions to two-step inequalities Word problems 6. One-step inequalities: word problems

8.PFA.5: The student will write 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. Solve multi-step inequalities 2. Graph solutions to multi-step inequalities 3. Solve inequalities with integers: variables on both sides 4. Solve inequalities with decimals: variables on both sides
8.PFA.5: The student will write 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. Solve multi-step inequalities 2. Graph solutions to multi-step inequalities 3. Solve inequalities with integers: variables on both sides 4. 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
7.CE.1: The student will estimate, solve, and justify solutions to multi-step contextual problems.		Rational numbers 1. Add and subtract integers: word problems 2. Add, subtract, multiply, and divide decimals: word problems 3. Add, subtract, multiply, or divide two fractions: word problems 4. Multi-step word problems with positive rational numbers Estimation 5. Estimate sums, differences, and products of decimals 6. Estimate sums and differences of mixed numbers 7. Estimate products and quotients of fractions and mixed numbers Money 8. Add, subtract, multiply, and divide money amounts: word problems 9. Price lists
7.CE.1: The student will estimate, solve, and justify solutions to multi-step contextual problems.
Rational numbers 1. Add and subtract integers: word problems 2. Add, subtract, multiply, and divide decimals: word problems 3. Add, subtract, multiply, or divide two fractions: word problems 4. Multi-step word problems with positive rational numbers Estimation 5. Estimate sums, differences, and products of decimals 6. Estimate sums and differences of mixed numbers 7. Estimate products and quotients of fractions and mixed numbers Money 8. Add, subtract, multiply, and divide money amounts: word problems 9. Price lists

7.CE.2: The student will solve problems, including those in context, involving proportional relationships.		Proportions 1. Solve proportions 2. Solve proportions: word problems 3. Estimate population size using proportions Customary and metric units 4. Convert metric and customary units using tables 5. Convert customary and metric units using proportions 6. Convert between customary and metric systems Percents 7. Percents of numbers and money amounts 8. Estimate tips
7.CE.2: The student will solve problems, including those in context, involving proportional relationships.
Proportions 1. Solve proportions 2. Solve proportions: word problems 3. Estimate population size using proportions Customary and metric units 4. Convert metric and customary units using tables 5. Convert customary and metric units using proportions 6. Convert between customary and metric systems Percents 7. Percents of numbers and money amounts 8. Estimate tips

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

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
7.PFA.1: The student will investigate and analyze proportional relationships between two quantities using verbal descriptions, tables, equations in y = mx + b form, and graphs, including problems in context.		1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph
7.PFA.1: The student will investigate and analyze proportional relationships between two quantities using verbal descriptions, tables, equations in y = mx + b form, and graphs, including problems in context.
1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph

8.PFA.3: The student will describe key characteristics of linear functions including slope (m), y-intercept (b), and independent and dependent varibles.		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 varibles.
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
7.CE.2: The student will solve problems, including those in context, involving proportional relationships. 7.PFA.1: The student will investigate and analyze proportional relationships between two quantities using verbal descriptions, tables, equations in y = mx + b form, and graphs, including problems in context.		Equations 1. Write equations for proportional relationships from tables 2. Write equations for proportional relationships from graphs Graphs 3. Graph proportional relationships from equations 4. Graph a proportional relationship: word problems 5. Interpret graphs of proportional relationships
7.CE.2: The student will solve problems, including those in context, involving proportional relationships. 7.PFA.1: The student will investigate and analyze proportional relationships between two quantities using verbal descriptions, tables, equations in y = mx + b form, and graphs, including problems in context.
Equations 1. Write equations for proportional relationships from tables 2. Write equations for proportional relationships from graphs Graphs 3. Graph proportional relationships from equations 4. Graph a proportional relationship: word problems 5. Interpret graphs of proportional relationships

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 a point 6. Write a linear equation from two points 7. Write a linear equation from a slope and y-intercept 8. Write a linear equation from a graph 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 a point 6. Write a linear equation from two points 7. Write a linear equation from a slope and y-intercept 8. Write a linear equation from a graph 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
7.PS.1: The student will use statistical investigation to determine the probability of an event and investigate and describe the difference between the experimental and theoretical probability.		1. Probability of simple events 2. Experimental probability 3. Use collected data to find probabilities
7.PS.1: The student will use statistical investigation to determine the probability of an event and investigate and describe the difference between the experimental and theoretical probability.
1. Probability of simple events 2. Experimental probability 3. Use collected data to find probabilities

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
7.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 histograms.		1. Identify statistical questions 2. Populations and samples 3. Create histograms 4. Interpret histograms
7.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 histograms.
1. Identify statistical questions 2. Populations and samples 3. Create histograms 4. Interpret histograms

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 representative, random, and biased samples Outliers 2. Identify an outlier Box plots 3. Calculate quartiles and interquartile range 4. Box plots 5. Compare populations using box plots Choose the best type of graph 6. 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 representative, random, and biased samples Outliers 2. Identify an outlier Box plots 3. Calculate quartiles and interquartile range 4. Box plots 5. Compare populations using box plots Choose the best type of graph 6. 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

7.MG.4: The student will apply dilations of polygons in the coordinate plane.		Dilations 1. Dilations: find the coordinates 2. Dilations: graph the image 3. Dilations: find the scale factor Scale drawings 4. Scale drawings: word problems 5. Scale drawings: scale factor word problems
7.MG.4: The student will apply dilations of polygons in the coordinate plane.
Dilations 1. Dilations: find the coordinates 2. Dilations: graph the image 3. Dilations: find the scale factor Scale drawings 4. Scale drawings: word problems 5. Scale drawings: scale factor word problems

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
7.MG.2: The student will solve problems and justify relationships of similarity using proportional reasoning.		1. Similar and congruent figures 2. Similarity statements 3. Side lengths and angle measures of similar figures 4. Similar figures and indirect measurement
7.MG.2: The student will solve problems and justify relationships of similarity using proportional reasoning.
1. Similar and congruent figures 2. Similarity statements 3. Side lengths and angle measures of similar figures 4. Similar figures and indirect measurement

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
7.MG.3: The student will compare and contrast quadrilaterals based on their properties and determine unknown side lengths and angle measures of quadrilaterals.		Classify quadrilaterals 1. Identify trapezoids 2. Classify quadrilaterals I 3. Classify quadrilaterals II Find missing angles 4. Find missing angles in quadrilaterals I 5. Find missing angles in quadrilaterals II
7.MG.3: The student will compare and contrast quadrilaterals based on their properties and determine unknown side lengths and angle measures of quadrilaterals.
Classify quadrilaterals 1. Identify trapezoids 2. Classify quadrilaterals I 3. Classify quadrilaterals II Find missing angles 4. Find missing angles in quadrilaterals I 5. Find missing angles in quadrilaterals II

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
7.MG.1: The student will investigate and determine the volume formula for right cylinders and the surface area formulas for rectangular prisms and right cylinders and apply the formulas in context.		Volume 1. Volume of cylinders 2. Volume: changes in scale Surface area 3. Surface area of rectangular prisms 4. Surface area of cylinders
7.MG.1: The student will investigate and determine the volume formula for right cylinders and the surface area formulas for rectangular prisms and right cylinders and apply the formulas in context.
Volume 1. Volume of cylinders 2. Volume: changes in scale Surface area 3. Surface area of rectangular prisms 4. Surface area of cylinders

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.		Volume 1. Volume of cones 2. Volume of rectangular pyramids Surface area 3. Surface area 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.
Volume 1. Volume of cones 2. Volume of rectangular pyramids Surface area 3. Surface area of rectangular pyramids