IXL Skill Plan | Arkansas Mathematics Standards (adopted in 2023): Technical Math

Arkansas Mathematics Standards (adopted in 2023): Technical Math

Skills available for Arkansas Technical Math standards

Standard

Mathematical Processes & Modeling
Numerical & Proportional Reasoning
Algebraic Relationships
Measurement
Geometry

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MPM	Mathematical Processes & Modeling
Mathematical Processes & Modeling: Students use mathematical processes and models to acquire, demonstrate, and communicate mathematical understanding in real-world scenarios.
TM.MPM.1 Apply mathematics to problems arising in everyday life, workplace, and society.		1. Solve linear equations: word problems 2. Solve a system of equations using any method: word problems 3. Write two-variable linear inequalities: word problems 4. Solve quadratic equations: word problems 5. Exponential growth and decay: word problems
TM.MPM.1 Apply mathematics to problems arising in everyday life, workplace, and society.
1. Solve linear equations: word problems 2. Solve a system of equations using any method: word problems 3. Write two-variable linear inequalities: word problems 4. Solve quadratic equations: word problems 5. Exponential growth and decay: word problems

TM.MPM.2 Use mathematical processes with algebraic formulas, numerical techniques, and graphs to solve real-world scenarios.		Graphs 1. Identify graphs: word problems Geometry formulas 2. Circles: word problems 3. Distance formula 4. Calculate density, mass, and volume 5. Area of a triangle: sine formula 6. Pythagorean theorem: word problems Compound interest 7. Compound interest: word problems 8. Continuously compounded interest: word problems
TM.MPM.2 Use mathematical processes with algebraic formulas, numerical techniques, and graphs to solve real-world scenarios.
Graphs 1. Identify graphs: word problems Geometry formulas 2. Circles: word problems 3. Distance formula 4. Calculate density, mass, and volume 5. Area of a triangle: sine formula 6. Pythagorean theorem: word problems Compound interest 7. Compound interest: word problems 8. Continuously compounded interest: word problems

TM.MPM.3 Create mathematical models and use problem-solving skills, independently and as a collaborative team, for real-world scenarios to:		Use probability and statistics 1. Write the probability distribution for a game of chance 2. Choose the better bet 3. Identify an outlier and describe the effect of removing it 4. Experiment design 5. Analyze the results of an experiment using simulations Use patterns 6. Pascal's triangle and the Binomial Theorem 7. Find terms of an arithmetic sequence 8. Find terms of a geometric sequence 9. Classify formulas and sequences Geometric modeling 10. Determine if two figures are congruent: justify your answer 11. Classify shapes on the coordinate plane: justify your answer 12. Solve linear equations: complete the solution
TM.MPM.3 Create mathematical models and use problem-solving skills, independently and as a collaborative team, for real-world scenarios to:
Use probability and statistics 1. Write the probability distribution for a game of chance 2. Choose the better bet 3. Identify an outlier and describe the effect of removing it 4. Experiment design 5. Analyze the results of an experiment using simulations Use patterns 6. Pascal's triangle and the Binomial Theorem 7. Find terms of an arithmetic sequence 8. Find terms of a geometric sequence 9. Classify formulas and sequences Geometric modeling 10. Determine if two figures are congruent: justify your answer 11. Classify shapes on the coordinate plane: justify your answer 12. Solve linear equations: complete the solution

TM.MPM.4 Select appropriate tools and techniques to solve problems.
TM.MPM.4 Select appropriate tools and techniques to solve problems.


TM.MPM.5 Demonstrate effective use of resources.
TM.MPM.5 Demonstrate effective use of resources.


TM.MPM.6 Use precise mathematical language and multiple representations to organize, record, and communicate mathematical ideas or solutions to solve real-world scenarios independently and collaboratively.		Solve equations 1. Simplify variable expressions involving like terms and the distributive property 2. Find values using function graphs 3. Find solutions using a table 4. Approximate solutions using a table 5. Solve a system of linear and quadratic equations by graphing Equivalent equations 6. Identify equivalent equations Prove and apply theorems 7. Proofs involving angles 8. Proofs involving parallel lines I 9. Proofs involving parallel lines II 10. Proofs involving triangles I 11. Proofs involving triangles II 12. Properties of parallelograms 13. Proving a quadrilateral is a parallelogram 14. Properties of rhombuses 15. Properties of squares and rectangles
TM.MPM.6 Use precise mathematical language and multiple representations to organize, record, and communicate mathematical ideas or solutions to solve real-world scenarios independently and collaboratively.
Solve equations 1. Simplify variable expressions involving like terms and the distributive property 2. Find values using function graphs 3. Find solutions using a table 4. Approximate solutions using a table 5. Solve a system of linear and quadratic equations by graphing Equivalent equations 6. Identify equivalent equations Prove and apply theorems 7. Proofs involving angles 8. Proofs involving parallel lines I 9. Proofs involving parallel lines II 10. Proofs involving triangles I 11. Proofs involving triangles II 12. Properties of parallelograms 13. Proving a quadrilateral is a parallelogram 14. Properties of rhombuses 15. Properties of squares and rectangles

NPR	Numerical & Proportional Reasoning
Model with Estimation: Students use estimation to solve real-world problems and assess the reasonableness of a solution.
TM.NPR.1 Use estimation to identify the most reasonable mathematical solution.		1. Estimate square roots and cube roots
TM.NPR.1 Use estimation to identify the most reasonable mathematical solution.
1. Estimate square roots and cube roots

TM.NPR.2 Use estimation and precision in real-world scenarios.		1. Estimate metric measurements 2. Estimate population size using proportions 3. Estimate tips 4. Precision
TM.NPR.2 Use estimation and precision in real-world scenarios.
1. Estimate metric measurements 2. Estimate population size using proportions 3. Estimate tips 4. Precision
Proportional Reasoning: Students understand and reason about relationships between quantities.
TM.NPR.3 Solve real-world problems and interpret results involving calculations with percentages, decimals, and fractions.		Convert decimals and fractions 1. Convert between decimals and fractions Percent problems 2. Find the percent: tax, discount, and more 3. Percent word problems 4. Percent of change: word problems 5. Multi-step problems with percents
TM.NPR.3 Solve real-world problems and interpret results involving calculations with percentages, decimals, and fractions.
Convert decimals and fractions 1. Convert between decimals and fractions Percent problems 2. Find the percent: tax, discount, and more 3. Percent word problems 4. Percent of change: word problems 5. Multi-step problems with percents

TM.NPR.4 Recognize, set up, and solve proportions from real-world scenarios.		Proportional relationships 1. Solve proportions: word problems 2. Estimate population size using proportions 3. Write and solve equations for proportional relationships 4. Ratios and proportions 5. Find the constant of proportionality from tables and graphs Similar figures 6. Similar triangles and indirect measurement
TM.NPR.4 Recognize, set up, and solve proportions from real-world scenarios.
Proportional relationships 1. Solve proportions: word problems 2. Estimate population size using proportions 3. Write and solve equations for proportional relationships 4. Ratios and proportions 5. Find the constant of proportionality from tables and graphs Similar figures 6. Similar triangles and indirect measurement

TM.NPR.5 Utilize real-world scenarios requiring interpretation and comparison of various representations of rates, ratios, and proportions including scale drawings.		1. Side lengths and angle measures in similar figures 2. Area and perimeter of similar figures 3. Scale drawings: word problems 4. Multi-step problems with unit conversions
TM.NPR.5 Utilize real-world scenarios requiring interpretation and comparison of various representations of rates, ratios, and proportions including scale drawings.
1. Side lengths and angle measures in similar figures 2. Area and perimeter of similar figures 3. Scale drawings: word problems 4. Multi-step problems with unit conversions
Comparison: Students use number sense and proportional reasoning to draw conclusions and communicate results.
TM.NPR.6 Compare magnitudes of numbers in context in different forms.		Rational numbers 1. Compare and order rational numbers Scientific notation 2. Convert between standard and scientific notation 3. Compare numbers written in scientific notation 4. Add and subtract numbers written in scientific notation 5. Multiply numbers written in scientific notation 6. Divide numbers written in scientific notation
TM.NPR.6 Compare magnitudes of numbers in context in different forms.
Rational numbers 1. Compare and order rational numbers Scientific notation 2. Convert between standard and scientific notation 3. Compare numbers written in scientific notation 4. Add and subtract numbers written in scientific notation 5. Multiply numbers written in scientific notation 6. Divide numbers written in scientific notation

TM.NPR.7 Use dimensional analysis to solve problems involving multiple units of measurement.		1. Convert square and cubic units of length 2. Convert rates and measurements: customary units 3. Convert rates and measurements: metric units
TM.NPR.7 Use dimensional analysis to solve problems involving multiple units of measurement.
1. Convert square and cubic units of length 2. Convert rates and measurements: customary units 3. Convert rates and measurements: metric units

AR	Algebraic Relationships
Model with Functions: Students use mathematical concepts of algebra to explain linear and nonlinear applications in real-world scenarios.
TM.AR.1 Analyze and apply rate of change in terms of real-world scenarios.		Slope 1. Find the slope of a graph 2. Find the slope from a table Rate of change 3. Rate of change: tables 4. Rate of change: graphs 5. Average rate of change
TM.AR.1 Analyze and apply rate of change in terms of real-world scenarios.
Slope 1. Find the slope of a graph 2. Find the slope from a table Rate of change 3. Rate of change: tables 4. Rate of change: graphs 5. Average rate of change

TM.AR.2 Use concepts of systems of equations and inequalities to model and solve real-world scenarios.		Graphing 1. Solve a system of equations by graphing 2. Solve a system of equations by graphing: word problems Substitution 3. Solve a system of equations using substitution 4. Solve a system of equations using substitution: word problems Elimination 5. Solve a system of equations using elimination 6. Solve a system of equations using elimination: word problems Any method 7. Solve a system of equations using any method 8. Solve a system of equations using any method: word problems Inequalities 9. Is (x, y) a solution to the system of inequalities? 10. Solve systems of linear inequalities by graphing
TM.AR.2 Use concepts of systems of equations and inequalities to model and solve real-world scenarios.
Graphing 1. Solve a system of equations by graphing 2. Solve a system of equations by graphing: word problems Substitution 3. Solve a system of equations using substitution 4. Solve a system of equations using substitution: word problems Elimination 5. Solve a system of equations using elimination 6. Solve a system of equations using elimination: word problems Any method 7. Solve a system of equations using any method 8. Solve a system of equations using any method: word problems Inequalities 9. Is (x, y) a solution to the system of inequalities? 10. Solve systems of linear inequalities by graphing

TM.AR.3 Use linear programming with or without the use of technology to:		1. Find the vertices of a solution set for a system of linear inequalities 2. Linear programming
TM.AR.3 Use linear programming with or without the use of technology to:
1. Find the vertices of a solution set for a system of linear inequalities 2. Linear programming
Model with Data: Students use data to make decisions and predictions.
TM.AR.4 Collect and organize data, independently and as a collaborative team, to create appropriate graphical representations of real-world scenarios.		Interpret data 1. Interpret line plots, bar graphs, histograms, box plots, circle graphs, and stem-and-leaf plots Two-way tables 2. Find probabilities using two-way frequency tables 3. Find conditional probabilities using two-way frequency tables Represent data 4. Create scatter plots 5. Create line plots, bar graphs, histograms, box plots, and stem-and-leaf plots
TM.AR.4 Collect and organize data, independently and as a collaborative team, to create appropriate graphical representations of real-world scenarios.
Interpret data 1. Interpret line plots, bar graphs, histograms, box plots, circle graphs, and stem-and-leaf plots Two-way tables 2. Find probabilities using two-way frequency tables 3. Find conditional probabilities using two-way frequency tables Represent data 4. Create scatter plots 5. Create line plots, bar graphs, histograms, box plots, and stem-and-leaf plots

TM.AR.5 Create, interpret, and analyze best-fit models of linear and exponential functions to solve real-world scenarios.		Linear functions 1. Match correlation coefficients to scatter plots 2. Calculate correlation coefficients 3. Find the equation of a regression line 4. Interpret regression lines 5. Analyze a regression line of a data set Exponential functions 6. Exponential regression
TM.AR.5 Create, interpret, and analyze best-fit models of linear and exponential functions to solve real-world scenarios.
Linear functions 1. Match correlation coefficients to scatter plots 2. Calculate correlation coefficients 3. Find the equation of a regression line 4. Interpret regression lines 5. Analyze a regression line of a data set Exponential functions 6. Exponential regression

MS	Measurement
Measurement & Measurement Tools: Students apply measurement and use measurement tools in real-world scenarios.
TM.MS.1 Convert between and within the metric system and the U.S. customary system in real-world scenarios.		1. Convert between customary and metric systems 2. Convert square and cubic units of length 3. Convert rates and measurements: customary units 4. Convert rates and measurements: metric units
TM.MS.1 Convert between and within the metric system and the U.S. customary system in real-world scenarios.
1. Convert between customary and metric systems 2. Convert square and cubic units of length 3. Convert rates and measurements: customary units 4. Convert rates and measurements: metric units

TM.MS.2 Demonstrate mastery of utilizing measuring devices:
TM.MS.2 Demonstrate mastery of utilizing measuring devices:


TM.MS.3 Determine and use appropriate unit labels for real-world scenarios.		1. Rate of travel: word problems 2. Surface area and volume of rectangular prisms
TM.MS.3 Determine and use appropriate unit labels for real-world scenarios.
1. Rate of travel: word problems 2. Surface area and volume of rectangular prisms

GEO	Geometry
Model with Geometric Figures: Students will extend geometric reasoning and model with geometric figures.
TM.GEO.1 Identify common geometric figures in order to identify what formulas are needed to solve situational problems.		1. Parts of three-dimensional figures 2. Three-dimensional figure vocabulary 3. Nets and drawings of three-dimensional figures
TM.GEO.1 Identify common geometric figures in order to identify what formulas are needed to solve situational problems.
1. Parts of three-dimensional figures 2. Three-dimensional figure vocabulary 3. Nets and drawings of three-dimensional figures

TM.GEO.2 Compute measurements of common geometric figures such as area, surface area, volume, perimeter, and circumference for real-world scenarios.		Area, perimeter, and circumference 1. Area and circumference of circles 2. Area of compound figures 3. Area between two shapes 4. Area and perimeter mixed review Surface area and volume 5. Surface area and volume of rectangular prisms 6. Surface area of prisms and cylinders 7. Surface area of pyramids and cones 8. Surface area of spheres 9. Volume of prisms and cylinders 10. Volume of pyramids and cones 11. Volume of spheres 12. Volume of compound figures 13. Surface area and volume review Arc length and sector area 14. Understand arc length and sector area of a circle 15. Arc length
TM.GEO.2 Compute measurements of common geometric figures such as area, surface area, volume, perimeter, and circumference for real-world scenarios.
Area, perimeter, and circumference 1. Area and circumference of circles 2. Area of compound figures 3. Area between two shapes 4. Area and perimeter mixed review Surface area and volume 5. Surface area and volume of rectangular prisms 6. Surface area of prisms and cylinders 7. Surface area of pyramids and cones 8. Surface area of spheres 9. Volume of prisms and cylinders 10. Volume of pyramids and cones 11. Volume of spheres 12. Volume of compound figures 13. Surface area and volume review Arc length and sector area 14. Understand arc length and sector area of a circle 15. Arc length

TM.GEO.3 Analyze how changing dimensions will affect the perimeter, circumference, area, surface area, or volume in real-world scenarios.		1. Perimeter and area: changes in scale 2. Surface area and volume: changes in scale 3. Perimeter, area, and volume: changes in scale
TM.GEO.3 Analyze how changing dimensions will affect the perimeter, circumference, area, surface area, or volume in real-world scenarios.
1. Perimeter and area: changes in scale 2. Surface area and volume: changes in scale 3. Perimeter, area, and volume: changes in scale

TM.GEO.4 Determine the role angles play in a situational problem.		Angle relationships 1. Angle vocabulary 2. Angle measures 3. Identify complementary, supplementary, vertical, adjacent, and congruent angles 4. Find measures of complementary, supplementary, vertical, and adjacent angles 5. Angle diagrams: solve for the variable Circles 6. Central angles and arc measures 7. Convert between radians and degrees
TM.GEO.4 Determine the role angles play in a situational problem.
Angle relationships 1. Angle vocabulary 2. Angle measures 3. Identify complementary, supplementary, vertical, adjacent, and congruent angles 4. Find measures of complementary, supplementary, vertical, and adjacent angles 5. Angle diagrams: solve for the variable Circles 6. Central angles and arc measures 7. Convert between radians and degrees

TM.GEO.5 Draw and interpret technical drawings involving house plans, engineering drawings, or fashion design with or without the use of technology.		1. Interpret graphics I
TM.GEO.5 Draw and interpret technical drawings involving house plans, engineering drawings, or fashion design with or without the use of technology.
1. Interpret graphics I
Model with Triangles: Students will apply geometric reasoning to triangles in real-world scenarios.
TM.GEO.6 Use trigonometric ratios to calculate angles and lengths of sides in real-world scenarios.		1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios with radicals: sin, cos, and tan 3. Inverses of trigonometric functions 4. Trigonometric ratios: find a side length 5. Trigonometric ratios: find an angle measure 6. Trigonometric ratios: word problems
TM.GEO.6 Use trigonometric ratios to calculate angles and lengths of sides in real-world scenarios.
1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios with radicals: sin, cos, and tan 3. Inverses of trigonometric functions 4. Trigonometric ratios: find a side length 5. Trigonometric ratios: find an angle measure 6. Trigonometric ratios: word problems

TM.GEO.7 Apply right-triangle relationships using Pythagorean Theorem, special right triangles, and trigonometry in real-world scenarios.		Pythagorean theorem 1. Pythagorean theorem 2. Prove the Pythagorean theorem 3. Converse of the Pythagorean theorem Trigonometric ratios 4. Special right triangles 5. Find trigonometric functions of special angles Solve a right triangle 6. Solve a special right triangle 7. Solve a right triangle
TM.GEO.7 Apply right-triangle relationships using Pythagorean Theorem, special right triangles, and trigonometry in real-world scenarios.
Pythagorean theorem 1. Pythagorean theorem 2. Prove the Pythagorean theorem 3. Converse of the Pythagorean theorem Trigonometric ratios 4. Special right triangles 5. Find trigonometric functions of special angles Solve a right triangle 6. Solve a special right triangle 7. Solve a right triangle
Visualizing Solid Shapes: Students will extend understanding of solid figures with and without technology.
TM.GEO.8 Demonstrate mastery of manipulating 2D and 3D figures.		1. Cross sections of three-dimensional figures 2. Solids of revolution 3. Front, side, and top views of irregular figures
TM.GEO.8 Demonstrate mastery of manipulating 2D and 3D figures.
1. Cross sections of three-dimensional figures 2. Solids of revolution 3. Front, side, and top views of irregular figures
Model with Transformations: Students will apply transformations to real-world scenarios.
TM.GEO.9 Describe the transformation of polygons in the coordinate plane as they relate to real-world scenarios:		Translations 1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates Congruence transformations 8. Classify congruence transformations 9. Reflections and rotations: write the rule 10. Transformations that carry a polygon onto itself 11. Congruence transformations: mixed review Sequence of congruence transformations 12. Glide reflections: graph the image 13. Sequences of congruence transformations: graph the image 14. Sequences of congruence transformations: choose the sequence 15. Sequences of congruence transformations: find the rules Dilations 16. Dilations: graph the image 17. Dilations: find the coordinates 18. Dilations: find the scale factor 19. Dilations: find the scale factor and center of the dilation
TM.GEO.9 Describe the transformation of polygons in the coordinate plane as they relate to real-world scenarios:
Translations 1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates Congruence transformations 8. Classify congruence transformations 9. Reflections and rotations: write the rule 10. Transformations that carry a polygon onto itself 11. Congruence transformations: mixed review Sequence of congruence transformations 12. Glide reflections: graph the image 13. Sequences of congruence transformations: graph the image 14. Sequences of congruence transformations: choose the sequence 15. Sequences of congruence transformations: find the rules Dilations 16. Dilations: graph the image 17. Dilations: find the coordinates 18. Dilations: find the scale factor 19. Dilations: find the scale factor and center of the dilation