# Math 6-8

The ability to think and communicate mathematically is essential to becoming a successful and productive member of our dynamic global society. To prepare our students, they must develop the skills to:

- Use number sense fluently
- Problem-solve
- Attend to precision
- Think creatively and flexibly
- Build, support, and critique an argument
- Communicate mathematical thinking orally, visually, and in writing
- Make connections between mathematical ideas, patterns and concepts in a variety of contexts

If we are to meet this challenge, we must provide students with multiple opportunities to engage with a variety of problem solving tasks that reflect the diverse backgrounds, abilities, and experiences of each student. Students should explore and collaborate on rich problems with multiple entry points and multiple paths to a solution that challenges them. Students should be encouraged to work through their thinking and computations in order for them to recognize the patterns, significance, and relevance of the true nature of mathematics. Developing number sense, estimation, and computation skills will create students who are more efficient in their problem solving skills.

We must provide all students with a rigorous, accessible, and challenging curriculum that will develop critical thinkers and prepare them for post‐secondary, career, and life success. This will require a combination of materials and the use of multiple instructional strategies, including evidence‐based intervention and extension methods to successfully reach all children. Proficiency on learning targets, mathematical practices, and ongoing assessment of student progress will inform next steps for instruction.

## Middle School Courses and Learning Targets

## Mathematics 6

**ALT 1 - Communicates clearly and explains my reasoning so others can follow how a problem is solved.**

**ALT 2 - Reasons mathematically to solve problems in real-life context.**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules.**

**ALT 4 - Uses ratio concepts and ratio reasoning to solve problems.**

**ALT 5 - Computes, applies and extends previous understandings of rational numbers fluently.**

**ALT 6 - Applies and reasons algebraically using expressions, one-variable equations and inequalities.**

**ALT 7 - Solves mathematical problems involving area, surface area, and volume.**

**ALT 8 - Develops an understanding of statistical variability and summarizes and describes distributions.Math 6/7**

## Mathematics 6/7

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 2 - Reasons mathematically to solve problems in real-life context.**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules.**

**ALT 4 - Uses ratio concepts and ratio reasoning to solve problems.**

**ALT 5 - Computes, applies and extends previous understandings of rational numbers fluently.**

**ALT 6 - Applies and reasons algebraically using expressions, one-variable equations and inequalities.**

**ALT 7 - Solves mathematical problems involving area, surface area and volume.**

**ALT 8 - Develops an understanding of statistical variability, summarizes and describes distributions, and investigates probability.**

**ALT 9 - Analyzes proportional relationships and uses them to solve real-world and mathematical problems.**

**ALT 10 - Applies and extends previous understandings of operations with fractions.**

## Mathematics 7

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 2 - Reasons mathematically to solve problems in real-life context.**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules.**

**ALT 4 - Analyzes proportional relationships and uses them to solve real-world and mathematical problems.**

**ALT 5 - Applies and extends previous understandings of operations with fractions.**

**ALT 6 - Uses properties of operations to generate equivalent expressions, and solves real-world mathematical problems using numeric and algebraic expressions and equations.**

**ALT 7 - Draws, constructs, and describes geometric figures and relationships between them, and solves problems involving angle measure, area, surface area, and volume.**

**ALT 8 - Develops understanding of statistical variability and investigates chance processes to develop, use, and evaluate probability models.**

## Mathematics 7/8

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 2 - Reasons mathematically to solve problems in real-life contact.**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules.**

**ALT 4 - Uses properties of operations, proportional relationships, and fractions to generate expressions and solve equations.**

**ALT 5 - Draws, constructs, and describes geometric figures and relationships between them, and solves problems involving angle measure, area, surface area, and volume.**

**ALT 6 - Works with expressions and equations using integer exponents.**

**ALT 7 - Analyzes and solves linear equations and systems of linear equations.**

**ALT 8 - Defines, evaluates, compares, and uses linear functions to model relationships between quantities and bivariate data.**

**ALT 9 - Understands congruence and similarity using transformational geometry, triangle-angle relationships, and parallel lines cut by transversals.**

**ALT 10 - Understands and applies the Pythagorean Theorem using rational and irrational numbers.**

## Mathematics 8

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 2 - Reasons mathematically to solve problems in real-life context.**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules.**

**ALT 4 - Works with expressions and equations using integer exponents.**

**ALT 5 - Analyzes and solves linear equations and systems of linear equations.**

**ALT 6 - Defines, evaluates, compares and uses linear functions to model relationships between quantities.**

**ALT 7 - Investigates patterns of association in bivariate data.**

**ALT 8 - Understands congruence and similarity using transformational geometry, triangle-angle relationships, and parallel lines cut by transversals, as well as, the volume of cylinders, cones and spheres.**

**ALT 9 - Understands and applies the Pythagorean Theorem using rational and irrational numbers.**

## Math Interventions

**ALT 1 - I can perform basic math computations fluently.**

**ALT 2 - I can solve problems using whole number operations including word problems.**

**ALT 3 - I can solve problems using fraction and decimal operations including word problems.**

**ALT 4 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 5 - Reasons mathematically to solve problems using patterns and models in both a pure and applied context.**

## High School Courses and Learning Targets

- AGS 1
- AGS 2
- AGS 3
- Accelerated AGS 3
- Probability Statistics Analysis
- Function Analysis Trigonometry
- Function Statistics Trigonometry
- Advanced AGS Topics
- Pre-Calculus
- AP Calculus AB
- AP Calculus BC
- Calculus 1
- Calculus 3
- Linear Algebra
- IB Math Applications and Interpretations SL
- IB Math Analysis and Approaches SL
- IB Math Analysis and Approaches HL
- IB Math SL
- IB Math HL
- IB Math Studies SL
- Statistics 1
- Statistics 2
- AP Statistics

## AGS 1

**ALT 1 - Understands and applies the characteristics of a function. (CCSS.A.REI.10, CCSS.F.IF.1&4)**

**ALT 2 - Identifies, uses and solves for variables. (CCSS.A.REI.1&3), (CCSS.A.REI.5-7), (CCSS.A.REI.3&12), (CCSS.G.GPE.4-7, CCSS.G.CO.2-5)**

**ALT 3 - Uses and applies geometric properties to mathematics. (CCSS.G.CO.10-11, CCSS.G.MG.1-3), (CCSS.G.GPE.4-7, CCSS.G.CO.2-5)**

**ALT 4 - Applies the rules of statistics and probability to mathematics. (CCSS.S.ID.1-3, CCSS.S.IC.6), (CCSS.S.ID)**

**ALT 5 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 6 - Recognizes patterns and describe them as relationships or general rules.**

**ALT 7 - Reasons mathematically to solve problems in real-life context.**

## AGS 2

**ALT 1 - Understands and applies the characteristics of a function. (CCSS.A.REI.10, CCSS.F.IF.1&4)**

**ALT 2 - Identifies, uses and solves for variables. (CCSS.A.REI.1&3), (CCSS.A.REI.5-7), (CCSS.A.REI.3&12), (CCSS.G.GPE.4-7, CCSS.G.CO.2-5)**

**ALT 3 - Uses and applies geometric properties to mathematics. (CCSS.G.CO.10-11, CCSS.G.MG.1-3), (CCSS.G.GPE.4-7, CCSS.G.CO.2-5)**

**ALT 4 - Applies the rules of statistics and probability to mathematics. (CCSS.S.ID.1-3, CCSS.S.IC.6), (CCSS.S.ID)**

**ALT 5 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 6 - Recognizes patterns and describe them as relationships or general rules.**

**ALT 7 - Reasons mathematically to solve problems in real-life context.**

## AGS 3

**ALT 1 - Understands and applies the characteristics of a function. (CCSS.A.REI.10, CCSS.F.IF.1&4)**

**ALT 2 - Identifies, uses and solves for variables. (CCSS.A.REI.1&3), (CCSS.A.REI.5-7), (CCSS.A.REI.3&12), (CCSS.G.GPE.4-7, CCSS.G.CO.2-5)**

**ALT 3 - Uses and applies geometric properties to mathematics. (CCSS.G.CO.10-11, CCSS.G.MG.1-3), (CCSS.G.GPE.4-7, CCSS.G.CO.2-5)**

**ALT 4 - Applies the rules of statistics and probability to mathematics. (CCSS.S.ID.1-3, CCSS.S.IC.6), (CCSS.S.ID)**

**ALT 5 - Simplifies real and complex expressions.**

**ALT 6 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 7 - Reasons mathematically to solve problems using patterns and models in both a pure and applied context.**

## Accelerated AGS 3

**ALT 1 - Understands and applies the characteristics of a function. (CCSS.A.REI.10, CCSS.F.IF.1&4)**

**ALT 5 - Simplifies real and complex expressions.**

**ALT 6 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 7 - Reasons mathematically to solve problems using patterns and models in both a pure and applied context.**

## Probability Statistics Analysis

**ALT 1 - Determines theoretical probability using models (mostly counting trees).**

**ALT 2 - Determines theoretical probability using fractions, including two-way tables.**

**ALT 3 - Calculates experimental probability and understanding its relation to theoretical probability.**

**ALT 4 - Calculates geometric probability.**

**ALT 5 - Calculates and interprets expected value.**

**ALT 6 - Identifies sample and population in a study, and determines whether a sampling method and procedure includes bias.**

**ALT 7 - Displays and describes the distribution of data using various graphs.**

**ALT 8 - Applies the Normal Distribution to solve problems.**

**ALT 9 - Develops a regression line and equation to make predictions in the context of the problem.**

## Function Analysis Trigonometry

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Analyzes the transformation of trigonometric functions graphically, symbolically, numerically, verbally and within contextualized data exploration**

**ALT 5 - Simplifies trigonometric expressions and solves trigonometric equations**

**ALT 6 - Finds features of functions in multiple forms**

**ALT 7 - Constructs new functions represented in any form**

**ALT 8 - Constructs and explains the process of the transformation of a function of any form**

**ALT 9 - Analyzes and solves exponential and logarithmic functions**

**ALT 10 - Analyzes polynomial functions represented in a variety of forms**

**ALT 11 - Analyze rational functions represented in a variety of forms**

## Function Statistics Trigonometry

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Uses two-way frequency tables and regression models to summarize, represent, and interpret data on two variables**

**ALT 5 - Analyzes the transformation of trigonometric functions graphically, symbolically, numerically, verbally and within contextualized data exploration**

**ALT 6 - Simplifies trigonometric expressions and solves trigonometric equations**

**ALT 7 - Solves problems that involve arithmetic and geometric sequences and series, and infinite geometric series**

**ALT 8 - Applies the Normal Distribution to solve problems**

**ALT 9 - Uses confidence intervals to estimate the value of a parameter from information obtained from a sample**

**ALT 10 - Finds features of functions in multiple forms**

**ALT 11 - Constructs new functions represented in any form**

**ALT 12 - Constructs and explains the process of the transformation of a function of any form**

**ALT 13 - Analyzes and solves exponential and logarithmic functions**

**ALT 14 - Analyzes polynomial functions represented in a variety of forms**

**ALT 15 - Analyze rational functions represented in a variety of forms**

## Advanced AGS Topics

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Applies algebra to solve relevant problems and make informed decisions through the use of formulas, graphs, and patterns**

**ALT 5 - Applies geometry to solve relevant problems and make informed decisions through the use of formulas, relationships, and the fundamental awareness of shapes in both 2-dimensional and 3-dimensional space**

**ALT 6 - Applies statistics to solve relevant problems and make informed decisions through the uses of tables, graphs, charts, probabilities, and hypothesis testing**

**ALT 7 - Demonstrates an ability to use logic and reasoning to model a problem, create and debate arguments, and conclude with a solution**

**ALT 8 - Uses a variety of questioning strategies to elicit deeper thinking from self and others**

## Pre-Calculus

**ALT 1 - I can find features of functions in multiple forms.**

**ALT 2 - I can construct new functions represented in any form.**

**ALT 3 - I can construct and explain the process of the transformation of a function of any form.**

**ALT 4 - I can analyze exponential and logarithmic functions and solve exponential and logarithmic equations.**

**ALT 5 - I can analyze polynomial functions represented in a variety of forms.**

**ALT 6 - I can analyze rational functions represented in a variety of forms.**

**ALT 7 - I can define and evaluate periodic functions.**

**ALT 8 - I can analyze the transformation of trigonometric functions graphically, symbolically, numerically, verbally and within contextualized data exploration.**

**ALT 9 - I can prove trigonometric identities and apply identities to find exact values.**

**ALT 10 - I can solve trigonometric equations.**

**ALT 11 - I can solve problems involving the angle measure and side length of right and oblique triangles.**

**ALT 12 - I can solve problems using vectors.**

**ALT 13 - I can apply parametric equations to solve problems involving circular, elliptical motion and/or parabolic trajectories.**

**ALT 14 - I can solve problems with complex numbers in both rectangular and trigonometric form.**

**ALT 15 - Communicates clearly and explains reasoning so others can follow how a problem is solved.**

**ALT 16 - Reasons mathematically to solve problems using patterns and models in both a pure and applied context.**

## AP Calculus AB

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Uses Calculus to both predict and explain the observed local and global behavior of a function**

**ALT 5 - Uses a derivative to interpret the behavior of a function and explains the logic of a solution to a problem modeled by a function**

**ALT 6 - Computes the derivative of functions**

**ALT 7 - Applies derivatives to various situations and to solve problems**

**ALT 8 - Uses the properties and numerical approximations to find and interpret definite integrals**

**ALT 9 - Uses a variety of techniques to find the anti-derivative of functions**

**ALT 10 - Applies anti-differentiation to various situations and to solve problems**

## AP Calculus BC

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Demonstrates an understanding of the concept of a series**

**ALT 5 - Demonstrates an understanding of series of constants**

**ALT 6 - Uses a variety of tests and techniques to determine convergence or divergence of series of constants**

**ALT 7 - Demonstrates an understanding of Taylor Series**

**ALT 8 - Uses formal manipulation of Taylor series and shortcuts to computing Taylor series**

**ALT 9 - Uses calculus to both predict and explain the observed local and global behavior of a function**

**ALT 10 - Uses a derivative to interpret the behavior of a function and explains the logic of a solution to a problem modeled by a function**

**ALT 11 - Computes the derivative of functions**

**ALT 12 - Applies derivatives to various situations and to solve problems**

**ALT 13 - Uses the properties and numerical approximations to find and interpret definite integrals**

**ALT 14 - Uses a variety of techniques to find the anti-derivative of functions**

**ALT 15 - Applies anti-differentiation to various situations and to solve problems**

## Calculus 1

**ALT 1 - Finds the limit of a function at a given domain values or extreme values.**

**ALT 2 - Determines if a function is continuous on an interval, or describe the type of discontinuity.**

**ALT 3 - Finds a derivative using the definition.**

**ALT 4 - Determines which differentiation technique can be used and applied to find a derivative and higher derivatives.**

**ALT 5 - Solves contextualized problems using differentiation techniques.**

## Calculus 3

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Identifies, understands, and performs operations on infinite series and sequences**

**ALT 5 - Understands and applies parametric equations, polar coordinates, and conic sections**

**ALT 6 - Understands and applies vector geometry**

**ALT 7 - Understands Calculus of Vector-Values Functions**

**ALT 8 - Communicates understanding of Calculus III**

**ALT 9 - Applies understanding of Calculus III**

## Linear Algebra

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Applies matrix theory to solve and transform**

**ALT 5 - Uses matrix operations and identifies determinants**

**ALT 6 - Understands and identifies Eigenvectors & Eigenvalues**

**ALT 7 - Understands and applies Orthogonality**

**ALT 8 - Communicates understanding of linear algebra**

**ALT 9 - Applies understanding of linear algebra**

## IB Math Applications and Interpretations SL

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Writes formulas and solves problems involving sequences and series**

**ALT 5 - Calculates interest, rates, present values and future values of money**

**ALT 6 - Works with numbers in various forms including scientific notation, unit conversion and significant figures**

**ALT 7 - Works with other functions**

**ALT 8 - Applies geometric principles to solve problems involving distance, area, angles and volume**

**ALT 9 - Analyzes and interprets descriptive statistics**

**ALT 10 - Computes and reasons about probabilities**

**ALT 11 - Applies hypothesis testing to understand statistical independence**

**ALT 12 - Uses Linear Regression to model data**

**ALT 13 - Uses differential calculus concepts**

**ALT 14 - Uses integral calculus concepts**

**ALT 15- Meets requirements for exploration in the IB program**

**ALT 16 - Demonstrates prior knowledge of selected MAI content**

## IB Math Analysis and Approaches SL

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Writes formulas and solves problems involving sequences and series**

**ALT 5 - Calculates interest, rates, present values and future values of money**

**ALT 6 - Works with numbers in various forms including scientific notation, unit conversion and significant figures**

**ALT 7 - Expands binomial expressions using the binomial theorem**

**ALT 8 - Uses the fundamental vocabulary and symbolic language of functions and reasons about their key characteristics**

**ALT 9 - Performs transformations of graphs and their respective algebraic representations**

**ALT 10 - Uses linear, quadratic and higher degree polynomial equations (and inequalities), graphs, and various algebraic forms**

**ALT 11 - Uses rational functions, graphs and various algebraic forms**

**ALT 12 - Uses exponential and logarithmic functions, graphs and various algebraic forms**

**ALT 13 - Builds new functions from existing functions, including inverses and composition**

**ALT 14 - Applies techniques to solve right and non-right triangles**

**ALT 15 - Manipulates circular functions and uses them to model periodic phenomena**

**ALT 16 - Proves trigonometric identities and applies identities to find exact values**

**ALT 17 - Solves trigonometric equations**

**ALT 18 - Applies geometric principles to solve problems involving distance, angles, area and volume**

**ALT 19 - Applies vectors, lines and planes in pure and applied contexts**

**ALT 20 - Analyzes and interprets descriptive statistics**

**ALT 21 - Computes and reasons about probabilities**

**ALT 22 - Interprets characteristics of various probability distributions**

**ALT 23 - Uses Linear Regression to model data**

**ALT 24 - Uses differential calculus concepts**

**ALT 25 - Uses differential calculus techniques**

**ALT 26 - Uses integral calculus concepts**

**ALT 27 - Uses integral calculus techniques**

**ALT 28 - Applies calculus in pure and applied contexts**

**ALT 29 - Meets requirements for exploration in the IB program**

## IB Math Analysis and Approaches HL

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Writes formulas and solves problems involving sequences and series**

**ALT 5 - Expands binomial expressions using the binomial theorem**

**ALT 6 - Uses and applies complex numbers**

**ALT 7 - Uses proof by mathematical induction and contradiction**

**ALT 8 - Solves problems involving polynomial functions and graphs**

**ALT 9 - Works with vectors in both algebraic and geometric contexts**

**ALT 10 - Applies vectors, lines and planes in pure and applied contexts**

**ALT 11 - Analyzes and interprets descriptive statistics**

**ALT 12 - Computes and reasons about probabilities**

**ALT 13 - Interprets characteristics of various probability distributions**

**ALT 14 - Uses Linear Regression to model data**

**ALT 15 - Uses differential calculus concepts**

**ALT 16 - Uses differential calculus techniques**

**ALT 17 - Uses integral calculus concepts**

**ALT 18 - Uses integral calculus techniques**

**ALT 19 - Applies calculus in pure and applied contexts**

**ALT 20 - Analyzes differential equations**

**ALT 21 - Uses and applies power series to represent and approximate functions**

**ALT 22 - Reasons about continuity, differentiability, and limits**

**ALT 23 - Meets requirements for exploration in the IB program**

**ALT 24 - Demonstrates prior knowledge of selected MAA content**

## IB Math SL

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Applies algebraic concepts and techniques**

**ALT 5 - Performs transformations of graphs and their respective algebraic representations**

**ALT 6 - Solves and manipulates trigonometric identities and equations using a variety of methods**

**ALT 7 - Works with vectors in both algebraic and geometric contexts**

**ALT 8 - Uses vectors in pure and applied contexts**

**ALT 9 - Computes and reasons about probabilities**

**ALT 10 - Interprets characteristics of various probability distributions**

**ALT 11 - Uses differential calculus concepts**

**ALT 12 - Uses differential calculus techniques**

**ALT 13 - Uses integral calculus concepts**

**ALT 14 - Uses integral calculus techniques**

**ALT 15 - Applies calculus in pure and applied contexts**

**ALT 16 - Recognizes and solves optimization problems**

**ALT 17 - Meets requirements for exploration in the IB**

## IB Math HL

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Uses and applies complex numbers**

**ALT 5 - Uses induction and reasons about sequences and series**

**ALT 6 - Analyzes features of functions and their graphs and uses function notation**

**ALT 7 - Derives and applies trigonometric identities and circular functions**

**ALT 8 - Works with vectors in both algebraic and geometric contexts**

**ALT 9 - Applies vectors in pure and applied contexts**

**ALT 10 - Solves problems involving planes**

**ALT 11 - Computes and reasons about probabilities**

**ALT 12 - Analyzes and interprets descriptive statistics**

**ALT 13 - Interprets characteristics of various probability distributions**

**ALT 14 - Uses differential calculus concepts**

**ALT 15 - Uses differential calculus techniques**

**ALT 16 - Uses integral calculus concepts**

**ALT 17 - Uses integral calculus techniques**

**ALT 18 - Applies calculus in pure and applied contexts**

**ALT 19 - Meets requirements for exploration in the IB program**

**ALT 20 - Reasons about continuity and differentiability**

**ALT 21 - Analyzes differential equations**

**ALT 22 - Uses and applies power series to represent and approximate functions**

**ALT 23 - Reasons about convergence or divergence**

**ALT 24 - Solves problems involving graph theory in pure contexts**

**ALT 25 - Solves problems in applied contexts using graph algorithms**

**ALT 26 - Applies rules of number theory**

**ALT 27 - Solves problems involving congruences and modular arithmetic**

**ALT 28 - Applies algebraic concepts and techniques**

## IB Math Studies SL

**ALT 1- Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2- Reasons mathematically to solve problems in real-life context**

**ALT 3- Recognizes patterns and describes them as relationships or general rulesALT - Works with numbers in various forms including scientific notation, unit conversion, and significant figures**

**ALT 4 - Solves sequences and series of numerical patterns to solve problems**

**ALT 5 - Calculates interest, rates, present values and future values of money**

**ALT 6 - Uses measures of center, measures of spread and various data displays to describe numerical data**

**ALT 7 - Applies the rules of sets**

**ALT 8 - Applies the rules of logic**

**ALT 9 - Applies the rules of probability**

**ALT 10- Applies understanding of normal distributions to solve problems relating to percentile**

**ALT 11 - Uses Linear Regression to model data**

**ALT 12 - Applies hypothesis testing to understand statistical independence**

**ALT 13 - Understands techniques to solve right and non-right triangles**

**ALT 14 - Applies principles of trigonometry to problems involving three dimensional shapes**

**ALT 15 - Applies concepts of coordinate geometry**

**ALT 16 - Applies linear mathematical models**

**ALT 17 - Applies quadratic functions**

**ALT 18 - Applies other types of functions**

**ALT 19 - Meets requirements, such as the internal assessment, for exploration in the IB**

## Statistics 1

**ALT 1 - Solves problems using probability and counting rules.**

**ALT 2 - Solves problems using probability distributions.**

**ALT 3 - Chooses and applies the proper measurement of central tendency, variation, and position.**

**ALT 4 - Organizes and chooses a proper graphical display for a data set.**

**ALT 6 - Uses confidence intervals to estimate the value of a parameter from information obtained from a sample.**

**ALT 7 - Defines and uses correct statistical vocabulary in context, written work and oral explanations.**

## Statistics 2

**ALT 1 - Determines if a sample mean or the difference of sample means found from a data set is statistically significant in comparison to the population mean or the difference of population means by using a statistical comparison test.**

**ALT 2 - Determines if sample proportions or the difference of sample proportions found from a data set is statistically significant in comparison to the population proportion or the difference of population proportions by using a statistical comparison test.**

**ALT 3 - Determines if sample variance (standard deviation) or the difference of sample variances (standard deviations) found from a data set is statistically significant in comparison to the population variance (standard deviation) or the difference of populations variations (standard deviations) by using a statistical comparison test.**

**ALT 4 - Finds the correlation and the linear regression model from a data set and determines the predication interval about a value y’.**

**ALT 5 - Uses the chi-square goodness of fit or chi-square test to determine statistical significance.**

**ALT 6 - Determines if one or more means differ significantly statistically.**

**ALT 7 - Uses nonparametric statistics when the population from which the samples are selected is not normally distributed to test hypotheses.**

## AP Statistics

**ALT 1 - Communicates clearly and explains reasoning so others can follow how a problem is solved**

**ALT 2 - Reasons mathematically to solve problems in real-life context**

**ALT 3 - Recognizes patterns and describes them as relationships or general rules**

**ALT 4 - Displays, describes, and analyzes univariate categorical and quantitative data**

**ALT 5 - Displays, describes, and analyzes bivariate quantitative data**

**ALT 6 - Uses and analyzes appropriate methods of collecting data**

**ALT 7 - Applies probability rules and models**

**ALT 8 - Analyzes distributions**

**ALT 9 - Uses and analyzes statistical inference for proportions**

**ALT 10 - Uses and analyzes statistical inference for means**

**ALT 11 - Uses and analyzes statistical inference for multivariate data**

The current Math curriculum was adopted by the School Board on April 4, 2017. The adoption process followed the procedures outlined in the Instructional Materials Selection Administrative Regulation II/IIA-AR.

To learn more about the Math curriculum adoption, please visit the Math Curriculum Project Team page.