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North Dakota Academic Content Standards

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ND.HS.A.High School—Algebra

High School—Algebra

HS.A-APR. Arithmetic with Polynomials and Rational Expressions

Perform arithmetic operations on polynomials

HS.A-APR.1. Add, subtract, and multiply polynomials. Understand that polynomials form a system comparable to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

HS.A-CED. Creating Equations and Inequalities

Create equations that describe numbers or relationships

HS.A-CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

HS.A-CED.2. Create equations in two or more variables to represent relationships between quantities. Graph equations on coordinate axes with appropriate labels and scales.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

HS.A-CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

HS.A-CED.4. Rearrange formulas to isolate a quantity of interest, using the same reasoning as in solving equations.

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

HS.A-REI. Reasoning with Equations and Inequalities

Represent and solve equations and inequalities graphically

HS.A-REI.11. Using graphs, technology, tables, or successive approximations, show that the solution(s) to the equation f(x) = g(x) are the x-value(s) that result in the y-values of f(x) and g(x) being the same.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

HS.A-REI.12. Graph the solutions to a linear inequality in two variables as a half-plane. Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

Understand solving equations as a process of reasoning and explain the reasoning

HS.A-REI.1. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

Solve equations and inequalities in one variable

HS.A-REI.3. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

HS.A-REI.6. Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

HS.A-SSE. Seeing Structure in Expressions

Write expressions in equivalent forms to solve problems

HS.A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

HS.A-SSE.3.c. Use the properties of exponents to transform exponential expressions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

ND.HS.F.High School—Functions

High School—Functions

HS.F-BF. Building Functions

Build a function that models a relationship between two quantities

HS.F-BF.1. Write a function that describes a relationship between two quantities.

HS.F-BF.1.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

HS.F-IF. Interpreting Functions

Analyze functions using different representations

HS.F-IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

HS.F-IF.7.a. Graph linear and quadratic functions and show intercepts, maxima, and minima where appropriate.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

HS.F-IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

HS.F-IF.8.b. Use the properties of exponents to interpret expressions for exponential functions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

Understand the concept of a function and use function notation

HS.F-IF.1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f c

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

HS.F-IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

Flip Charts Arithmetic & Sequences

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

Interpret functions that arise in applications in terms of the context

HS.F-IF.4. Use tables, graphs, verbal descriptions, and equations to interpret and sketch the key features of a function modeling the relationship between two quantities.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

HS.F-LE. Linear, Quadratic, and Exponential Models

Construct and compare linear, quadratic, and exponential models and solve problems

HS.F-LE.1. Identify situations that can be modeled with linear, quadratic, and exponential functions. Justify the most appropriate model for a situation based on the rate of change over equal intervals. Include situations in which a quantity grows or decays.

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

ND.HS.G.High School—Geometry

High School—Geometry

HS.G-CO. Congruence

Prove and apply geometric theorems

HS.G-CO.9. Prove and apply theorems about lines and angles.

Flip Charts Math Grade 8

Flip Charts Plane Geometry

Experiment with transformations in the plane

HS.G-CO.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, and plane.

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

Flip Charts Plane Geometry

Flip Charts Ratios, Rates & Proportions