IXL skill plan | Advanced Math 6 plan for Chesapeake Public Schools

Skill plan for Chesapeake Public Schools - Advanced Math 6

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 Integers & Rational Numbers
6.NS.1: The student will reason and use multiple strategies to express equivalency, compare, and order numbers written as fractions, mixed numbers, decimals, and percents.		Understand percents with models 1. What percentage is illustrated? 2. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 Equivalent fractions 3. Write fractions in lowest terms 4. Equivalent fractions review 5. Convert between improper fractions and mixed numbers Convert between fractions and decimals 6. Convert between fractions and repeating decimals 7. Convert between decimals and fractions 8. Convert between decimals and mixed numbers Convert between percents, fractions, and decimals 9. Convert between percents and decimals 10. Convert between percents, fractions, and decimals 11. Convert between percents, fractions, and decimals: word problems Compare and order percents, fractions, and decimals 12. Put a mix of decimals, fractions, and mixed numbers in order 13. Compare percents to each other and to fractions 14. Compare percents and fractions: word problems 15. Compare percents to fractions and decimals
6.NS.1: The student will reason and use multiple strategies to express equivalency, compare, and order numbers written as fractions, mixed numbers, decimals, and percents.
Understand percents with models 1. What percentage is illustrated? 2. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 Equivalent fractions 3. Write fractions in lowest terms 4. Equivalent fractions review 5. Convert between improper fractions and mixed numbers Convert between fractions and decimals 6. Convert between fractions and repeating decimals 7. Convert between decimals and fractions 8. Convert between decimals and mixed numbers Convert between percents, fractions, and decimals 9. Convert between percents and decimals 10. Convert between percents, fractions, and decimals 11. Convert between percents, fractions, and decimals: word problems Compare and order percents, fractions, and decimals 12. Put a mix of decimals, fractions, and mixed numbers in order 13. Compare percents to each other and to fractions 14. Compare percents and fractions: word problems 15. Compare percents to fractions and decimals

6.NS.2: The student will reason and use multiple strategies to represent, compare, and order integers.		Understand and represent integers 1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines 4. Understanding opposite integers Compare and order integers 5. Compare integers 6. Put integers in order Absolute value 7. Understanding absolute value 8. Absolute value 9. Absolute value and integers: word problems
6.NS.2: The student will reason and use multiple strategies to represent, compare, and order integers.
Understand and represent integers 1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines 4. Understanding opposite integers Compare and order integers 5. Compare integers 6. Put integers in order Absolute value 7. Understanding absolute value 8. Absolute value 9. Absolute value and integers: 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 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 and order rational numbers: word problems

6.NS.3: The student will recognize and represent patterns with whole number exponents and perfect squares.		1. Write multiplication expressions using exponents 2. Write powers of ten with exponents
6.NS.3: The student will recognize and represent patterns with whole number exponents and perfect squares.
1. Write multiplication expressions using exponents 2. Write powers of ten with exponents

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.		Negative exponents 1. Evaluate powers of ten with negative exponents 2. Powers of ten with negative exponents Scientific notation 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.
Negative exponents 1. Evaluate powers of ten with negative exponents 2. Powers of ten with negative exponents Scientific notation 3. Scientific notation 4. Compare numbers written in scientific notation

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

2	Unit 2 Operations with Integers & Rational Numbers
6.CE.1: The student will estimate, demonstrate, solve, and justify solutions to problems using operations with fractions and mixed numbers, including those in context.		Multiply using models 1. Multiply two fractions using models 2. Multiply with mixed numbers using area models Multiply fractions 3. Multiply two fractions 4. Multiply three or more fractions and whole numbers Multiply mixed numbers 5. Multiply a mixed number by a whole number 6. Multiply mixed numbers 7. Multiply three or more mixed numbers, fractions, and/or whole numbers Scaling 8. Scaling whole numbers by fractions: justify your answer 9. Scaling by fractions and mixed numbers Divide using models 10. Divide fractions using models 11. Divide fractions and mixed numbers using models Divide fractions and mixed numbers 12. Divide fractions and whole numbers 13. Divide fractions 14. Divide fractions and mixed numbers
6.CE.1: The student will estimate, demonstrate, solve, and justify solutions to problems using operations with fractions and mixed numbers, including those in context.
Multiply using models 1. Multiply two fractions using models 2. Multiply with mixed numbers using area models Multiply fractions 3. Multiply two fractions 4. Multiply three or more fractions and whole numbers Multiply mixed numbers 5. Multiply a mixed number by a whole number 6. Multiply mixed numbers 7. Multiply three or more mixed numbers, fractions, and/or whole numbers Scaling 8. Scaling whole numbers by fractions: justify your answer 9. Scaling by fractions and mixed numbers Divide using models 10. Divide fractions using models 11. Divide fractions and mixed numbers using models Divide fractions and mixed numbers 12. Divide fractions and whole numbers 13. Divide fractions 14. Divide fractions and mixed numbers

6.CE.2: The student will estimate, demonstrate, solve, and justify solutions to problems using operations with integers, including those in context.		Addition and subtraction 1. Add integers using counters 2. Add integers using number lines 3. Add integers 4. Subtract integers using counters 5. Subtract integers using number lines 6. Subtract integers Multiplication and division 7. Understand multiplying by a negative integer using a number line 8. Multiply integers 9. Divide integers Mixed operations 10. Add, subtract, multiply, or divide two integers
6.CE.2: The student will estimate, demonstrate, solve, and justify solutions to problems using operations with integers, including those in context.
Addition and subtraction 1. Add integers using counters 2. Add integers using number lines 3. Add integers 4. Subtract integers using counters 5. Subtract integers using number lines 6. Subtract integers Multiplication and division 7. Understand multiplying by a negative integer using a number line 8. Multiply integers 9. Divide integers Mixed operations 10. Add, subtract, multiply, or divide two integers

7.CE.1: The student will estimate, solve, and justify solutions to multi-step contextual problems involving operations with rational numbers.		Addition and subtraction 1. Add and subtract integers: word problems 2. Add and subtract decimals: word problems 3. Add and subtract fractions and mixed numbers: word problems Multiplication and division 4. Multiply decimals and whole numbers: word problems 5. Divide decimals by whole numbers: word problems 6. Multiply fractions and mixed numbers: word problems 7. Divide fractions and mixed numbers: word problems Mixed operations 8. Add, subtract, multiply, and divide decimals: word problems 9. Add, subtract, multiply, or divide two fractions: word problems 10. Multi-step word problems with positive rational numbers Estimation 11. Estimate sums, differences, and products of decimals 12. Estimate sums and differences of mixed numbers 13. Estimate products and quotients of fractions and mixed numbers
7.CE.1: The student will estimate, solve, and justify solutions to multi-step contextual problems involving operations with rational numbers.
Addition and subtraction 1. Add and subtract integers: word problems 2. Add and subtract decimals: word problems 3. Add and subtract fractions and mixed numbers: word problems Multiplication and division 4. Multiply decimals and whole numbers: word problems 5. Divide decimals by whole numbers: word problems 6. Multiply fractions and mixed numbers: word problems 7. Divide fractions and mixed numbers: word problems Mixed operations 8. Add, subtract, multiply, and divide decimals: word problems 9. Add, subtract, multiply, or divide two fractions: word problems 10. Multi-step word problems with positive rational numbers Estimation 11. Estimate sums, differences, and products of decimals 12. Estimate sums and differences of mixed numbers 13. Estimate products and quotients of fractions and mixed numbers

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.		Numerical expressions 1. Evaluate numerical expressions involving exponents Simplify algebraic expressions 2. Simplify expressions by combining like terms: with algebra tiles 3. Simplify expressions by combining like terms 4. Simplify expressions using properties Evaluate algebraic expressions 5. Evaluate linear expressions 6. Evaluate multi-variable 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.
Numerical expressions 1. Evaluate numerical expressions involving exponents Simplify algebraic expressions 2. Simplify expressions by combining like terms: with algebra tiles 3. Simplify expressions by combining like terms 4. Simplify expressions using properties Evaluate algebraic expressions 5. Evaluate linear expressions 6. Evaluate multi-variable expressions

3	Unit 3 Equations
6.PFA.3: The student will write and solve one-step linear equations in one variable, including contextual problems that require the solution of a one-step linear equation in one variable.		Algebraic vocabulary 1. Identify terms and coefficients 2. Identify expressions and equations Model and solve equations 3. Model and solve equations using diagrams Solve one-step equations 4. Solve one-step addition and subtraction equations with whole numbers 5. Solve one-step multiplication and division equations with whole numbers 6. Solve one-step equations with whole numbers 7. Solve one-step equations involving integers Confirm solutions 8. Does x satisfy an equation? 9. Which x satisfies an equation? Word problems 10. Write an equation from words 11. Solve one-step addition and subtraction equations: word problems 12. Solve one-step multiplication and division equations: word problems 13. Write a one-step equation: word problems 14. Solve one-step equations: word problems 15. Which word problem matches the one-step equation?
6.PFA.3: The student will write and solve one-step linear equations in one variable, including contextual problems that require the solution of a one-step linear equation in one variable.
Algebraic vocabulary 1. Identify terms and coefficients 2. Identify expressions and equations Model and solve equations 3. Model and solve equations using diagrams Solve one-step equations 4. Solve one-step addition and subtraction equations with whole numbers 5. Solve one-step multiplication and division equations with whole numbers 6. Solve one-step equations with whole numbers 7. Solve one-step equations involving integers Confirm solutions 8. Does x satisfy an equation? 9. Which x satisfies an equation? Word problems 10. Write an equation from words 11. Solve one-step addition and subtraction equations: word problems 12. Solve one-step multiplication and division equations: word problems 13. Write a one-step equation: word problems 14. Solve one-step equations: word problems 15. Which word problem matches the one-step equation?

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.		Model and solve equations 1. Model and solve equations using algebra tiles 2. Write and solve equations that represent diagrams Solve two-step 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. Solve two-step equations: word problems 8. Choose 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.
Model and solve equations 1. Model and solve equations using algebra tiles 2. Write and solve equations that represent diagrams Solve two-step 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. Solve two-step equations: word problems 8. Choose two-step equations: word problems

4	Unit 4 Inequalities
6.PFA.4: The student will represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line.		1. Graph inequalities on number lines 2. Write inequalities from number lines 3. Write and graph inequalities: word problems
6.PFA.4: The student will represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line.
1. Graph inequalities on number lines 2. Write inequalities from number lines 3. Write and graph 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 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 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

5	Unit 5 Ratios & Proportions
6.PFA.1: The student will use ratios to represent relationships between quantities, including those in context.		1. Write a ratio using a colon 2. Write a ratio using a fraction 3. Which model represents the ratio? 4. Write a ratio: word problems
6.PFA.1: The student will use ratios to represent relationships between quantities, including those in context.
1. Write a ratio using a colon 2. Write a ratio using a fraction 3. Which model represents the ratio? 4. Write a ratio: word problems

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. Compare and convert customary units 5. Compare and convert metric units 6. Convert between customary and metric systems 7. Convert metric and customary units using tables 8. Convert customary and metric units using proportions Percents 9. Estimate percents of numbers 10. Solve percent problems using strip models 11. Percents of numbers and money amounts 12. Percents of numbers: word problems 13. Estimate tips 14. Percent of a number: tax, tip, discount, and more
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. Compare and convert customary units 5. Compare and convert metric units 6. Convert between customary and metric systems 7. Convert metric and customary units using tables 8. Convert customary and metric units using proportions Percents 9. Estimate percents of numbers 10. Solve percent problems using strip models 11. Percents of numbers and money amounts 12. Percents of numbers: word problems 13. Estimate tips 14. Percent of a number: tax, tip, discount, and more

6	Unit 6 Functions
6.MG.3: The student will describe the characteristics of the coordinate plane and graph ordered pairs.		Coordinate plane 1. Describe the coordinate plane 2. Quadrants Identify and graph points 3. Graph points on a coordinate plane: integers only 4. Objects on a coordinate plane Distance 5. Coordinate planes as maps 6. Distance between two points: integers only Polygons 7. Graph triangles and quadrilaterals
6.MG.3: The student will describe the characteristics of the coordinate plane and graph ordered pairs.
Coordinate plane 1. Describe the coordinate plane 2. Quadrants Identify and graph points 3. Graph points on a coordinate plane: integers only 4. Objects on a coordinate plane Distance 5. Coordinate planes as maps 6. Distance between two points: integers only Polygons 7. Graph triangles and quadrilaterals

6.PFA.2: The student will identify and represent proportional relationships between two quantities, including those in context (unit rates are limited to positive values).		Ratios and rates 1. Unit rates 2. Ratio tables Proportional relationships 3. Identify proportional relationships from graphs 4. Identify proportional relationships from tables Multiple representations 5. Ratios and rates: complete a table and make a graph 6. Identify proportional relationships by graphing
6.PFA.2: The student will identify and represent proportional relationships between two quantities, including those in context (unit rates are limited to positive values).
Ratios and rates 1. Unit rates 2. Ratio tables Proportional relationships 3. Identify proportional relationships from graphs 4. Identify proportional relationships from tables Multiple representations 5. Ratios and rates: complete a table and make a graph 6. Identify proportional relationships by graphing

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.		Constant of proportionality 1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph Equations 3. Write equations for proportional relationships from tables 4. Write equations for proportional relationships from graphs Graphs 5. Complete a table and graph a proportional relationship 6. Graph proportional relationships from equations 7. Graph a proportional relationship: word problems 8. Interpret graphs of 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.
Constant of proportionality 1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph Equations 3. Write equations for proportional relationships from tables 4. Write equations for proportional relationships from graphs Graphs 5. Complete a table and graph a proportional relationship 6. Graph proportional relationships from equations 7. Graph a proportional relationship: word problems 8. Interpret graphs of proportional relationships

7	Unit 7 Probability & Statistics
6.PS.1: The student will organize and represent data using circle graphs, with and without the use of technology tools. The number of data values should be limited to allow for comparisons that have denominators of 12 or less or those that are factors of 100 (e.g., in a class of 20 students, 7 choose apples as a favorite fruit, so the comparison is 7 out of 20, ⁷/₂₀, or 35%).		1. Interpret circle graphs
6.PS.1: The student will organize and represent data using circle graphs, with and without the use of technology tools. The number of data values should be limited to allow for comparisons that have denominators of 12 or less or those that are factors of 100 (e.g., in a class of 20 students, 7 choose apples as a favorite fruit, so the comparison is 7 out of 20, ⁷/₂₀, or 35%).
1. Interpret circle graphs

6.PS.2: The student will represent the mean as a balance point and determine the effect on statistical measures when a data point is added, removed, or changed.		Mean, median, and mode 1. Calculate mean 2. Changes in mean, median, and mode Outliers 3. Identify an outlier 4. Identify an outlier and describe the effect of removing it
6.PS.2: The student will represent the mean as a balance point and determine the effect on statistical measures when a data point is added, removed, or changed.
Mean, median, and mode 1. Calculate mean 2. Changes in mean, median, and mode Outliers 3. Identify an outlier 4. Identify an outlier and describe the effect of removing it

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

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	Unit 8 Similar Figures & Quadrilaterals
6.MG.4: The student will determine congruence of segments, angles, and polygons.		1. Identify and classify polygons 2. Line symmetry
6.MG.4: The student will determine congruence of segments, angles, and polygons.
1. Identify and classify polygons 2. Line symmetry

7.MG.2: The student will solve problems and justify relationships of similarity using proportional reasoning.		Congruence and similarity 1. Similar and congruent figures 2. Similarity statements 3. Side lengths and angle measures of similar figures 4. Similar figures and indirect measurement Scale drawings 5. Scale drawings of polygons 6. Scale drawings: word problems 7. Scale drawings: scale factor word problems
7.MG.2: The student will solve problems and justify relationships of similarity using proportional reasoning.
Congruence and similarity 1. Similar and congruent figures 2. Similarity statements 3. Side lengths and angle measures of similar figures 4. Similar figures and indirect measurement Scale drawings 5. Scale drawings of polygons 6. Scale drawings: word problems 7. Scale drawings: scale factor word problems

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

9	Unit 9 Measuring 2- & 3-Dimensional Figures
6.MG.1: The student will identify the characteristics of circles and solve problems, including those in context, involving circumference and area.		Characteristics 1. Parts of a circle Circumference and area 2. Circumference of circles 3. Area of circles 4. Circles: word problems 5. Area between two circles
6.MG.1: The student will identify the characteristics of circles and solve problems, including those in context, involving circumference and area.
Characteristics 1. Parts of a circle Circumference and area 2. Circumference of circles 3. Area of circles 4. Circles: word problems 5. Area between two circles

6.MG.2: The student will reason mathematically to solve problems, including those in context, that involve the area and perimeter of triangles and parallelograms.		Understand area 1. Understanding area of a triangle 2. Understanding area of a parallelogram Area 3. Area of triangles 4. Area between two triangles 5. Area of parallelograms Perimeter 6. Perimeter of triangles and parallelograms Word problems 7. Area of squares, rectangles, and triangles: word problems
6.MG.2: The student will reason mathematically to solve problems, including those in context, that involve the area and perimeter of triangles and parallelograms.
Understand area 1. Understanding area of a triangle 2. Understanding area of a parallelogram Area 3. Area of triangles 4. Area between two triangles 5. Area of parallelograms Perimeter 6. Perimeter of triangles and parallelograms Word problems 7. Area of squares, rectangles, and triangles: word problems

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

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