Utah Core Standards
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UT.P.PRECALCULUS
PRECALCULUS
P.MP. MATHEMATICAL PRACTICES (P.MP)
P.MP.1. Make sense of problems and persevere in solving them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
P.MP.2. Reason abstractly and quantitatively.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
P.S.CP. STATISTICS—Conditional Probability and the Rules of Probability (S.CP)
Understand independence and conditional probability and use them to interpret data. Use the rules of probability to compute probabilities of compound events in a uniform probability model.
P.S.CP.2. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
UT.SI.SECONDARY MATHEMATICS I
SECONDARY MATHEMATICS I
SI.A.CED. ALGEBRA—Creating Equations (A.CED)
Create equations that describe numbers or relationships. Limit these to linear equations and inequalities, and exponential equations. In the case of exponential equations, limit to situations requiring evaluation of exponential functions at integer inputs
SI.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and simple exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
SI.A.CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
SI.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. For example, represent inequalities describing nutritional and cost constrai
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
SI.A.CED.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s Law V = IR to highlight resistance R.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
SI.A.REI. ALGEBRA—Reasoning With Equations and Inequalities (A.REI)
Understand solving equations as a process of reasoning and explain the reasoning (Standard A.REI.1). Solve equations and inequalities in one variable (Standard A.REI.3). Solve systems of equations. Build on student experiences graphing and solving systems
SI.A.REI.1. Explain each step in solving a linear 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. Stude
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
SI.A.REI.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately; e.g., using technology to graph the functions, make tables of va
Flip Charts Introduction to Functions
Flip Charts Math Grade 8
Flip Charts Systems of Equations
Flip Charts Systems of Equations
SI.A.REI.12. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the correspondin
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
SI.A.REI.3. Solve equations and inequalities in one variable.
SI.A.REI.3.a. Solve one-variable equations and literal equations to highlight a variable of interest.
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
SI.A.REI.5. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Flip Charts Introduction to Functions
Flip Charts Math Grade 8
Flip Charts Systems of Equations
Flip Charts Systems of Equations
SI.A.REI.6. Solve systems of linear equations exactly and approximately (numerically, algebraically, graphically), focusing on pairs of linear equations in two variables.
Flip Charts Introduction to Functions
Flip Charts Math Grade 8
Flip Charts Systems of Equations
Flip Charts Systems of Equations
SI.F.IF. FUNCTIONS—Interpreting Linear and Exponential Functions (F.IF)
Understand the concept of a linear or exponential function and use function notation. Recognize arithmetic and geometric sequences as examples of linear and exponential functions (Standards F.IF.1–3). Interpret linear or exponential functions that arise i
SI.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
SI.F.IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. Emphasize arithmetic and geometric sequences as examples of linear and exponential functions. For example, the Fibonacci sequence is defined r
Flip Charts Arithmetic & Sequences
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
SI.F.IF.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercept
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
SI.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
SI.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.
SI.F.IF.7.a. Graph linear functions and show intercepts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
SI.MP. MATHEMATICAL PRACTICES (MP)
SI.MP.1. Make sense of problems and persevere in solving them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
SI.MP.2. Reason abstractly and quantitatively.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
UT.SII-H.SECONDARY MATHEMATICS II-HONORS
SECONDARY MATHEMATICS II-HONORS
SII-H.S.CP. STATISTICS AND PROBABILITY—Conditional Probability and the Rules of Probability (S.CP)
Understand independence and conditional probability and use them to interpret data (Standards S.CP.2–3). Use the rules of probability to compute probabilities of compound events in a uniform probability model (Standards S.CP.7–8).
SII-H.S.CP.2. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
UT.SII.SECONDARY MATHEMATICS II
SECONDARY MATHEMATICS II
SII.A.APR. ALGEBRA—Arithmetic With Polynomials and Rational Expressions (A.APR)
Perform arithmetic operations on polynomials. Focus on polynomial expressions that simplify to forms that are linear or quadratic in a positive integer power of x (Standard A.APR.1).
SII.A.APR.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
SII.A.CED. ALGEBRA—Creating Equations (A.CED)
Create equations that describe numbers or relationships. Extend work on linear and exponential equations to quadratic equations (Standards A.CED.1–2, 4).
SII.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
SII.A.CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
SII.A.CED.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations; extend to formulas involving squared variables. For example, rearrange the formula for the volume of a cylinder V = πr^2 h.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
SII.A.SSE. ALGEBRA—Seeing Structure in Expression (A.SSE)
Interpret the structure of expressions (Standards A.SSE.1–2). Write expressions in equivalent forms to solve problems, balancing conceptual understanding and procedural fluency in work with equivalent expressions (Standard A.SSE.3).
SII.A.SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. For example, development of skill in factoring and completing the square goes hand in hand with understanding what diffe
SII.A.SSE.3.c. Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t can be rewritten as (1.15^1/12)^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
SII.F.BF. FUNCTIONS—Building Functions (F.BF)
Build a function that models a relationship between two quantities (Standard F.BF.1). Build new functions from existing functions (Standard F.BF.3).
SII.F.BF.1. Write a quadratic or exponential function that describes a relationship between two quantities.
SII.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
SII.F.IF. FUNCTIONS—Interpret Functions (F.IF)
Interpret quadratic functions that arise in applications in terms of a context (Standards F.IF.4–6). Analyze functions using different representations (Standards F.IF.7–9).
SII.F.IF.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercept
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
SII.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
SII.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.
SII.F.IF.7.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
SII.F.IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
SII.F.IF.8.b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y= (1.01)^12t, y = (1.2)^t/10, and classify them as representing exponential
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
SII.G.CO. GEOMETRY—Congruence (G.CO)
Prove geometric theorems. Encourage multiple ways of writing proofs, such as narrative paragraphs, flow diagrams, two-column format, and diagrams without words. Focus on the validity of the underlying reasoning while exploring a variety of formats for exp
SII.G.CO.9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line
Flip Charts Math Grade 8
Flip Charts Plane Geometry
SII.G.GMD. GEOMETRY—Geometric Measurement and Dimension (G.GMD)
Explain volume formulas and use them to solve problems (Standards G.GMD.1, 3).
SII.G.GMD.1. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Informal arguments for area formulas can make use of the way in which area scale under similarity transformations: whe
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
SII.G.GMD.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. Informal arguments for volume formulas can make use of the way in which volume scale under similarity transformations: when one figure results from another by applying a si
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
SII.G.SRT. GEOMETRY—Similarity, Right Triangles, and Trigonometry (G.SRT)
Understand similarity in terms of similarity transformations (Standards G.SRT.1–3). Prove theorems involving similarity (Standards G.SRT.4–5). Define trigonometric ratios and solve problems involving right triangles (Standards G.SRT.6–8).
SII.G.SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor.
SII.G.SRT.1.a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
SII.G.SRT.1.b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
SII.G.SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide whether they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of a
Flip Charts Math Grade 8
Flip Charts Ratios, Rates & Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
SII.G.SRT.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
Flip Charts Ratios, Rates & Proportions
SII.MP. MATHEMATICAL PRACTICES (MP)
SII.MP.1. Make sense of problems and persevere in solving them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
SII.MP.2. Reason abstractly and quantitatively.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
SII.N.RN. NUMBER AND QUANTITY—The Real Number System (N.RN)
Extend the properties of exponents to rational exponents (Standards N.RN.1–2). Use properties of rational and irrational numbers (Standard N.RN. 3).
SII.N.RN.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
SII.N.RN.3. Explain why sums and products of rational numbers are rational, that the sum of a rational number and an irrational number is irrational, and that the product of a nonzero rational number and an irrational number is irrational. Connect to physical situati
Flip Charts Math Grade 8
Flip Charts The Real Numbers
SII.S.ID. STATISTICS—Interpreting Categorical and Quantitative Data (S.ID)
Summarize, represent, and interpret data on two categorical or quantitative variables (Standard S.ID.5).
SII.S.ID.5. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and condition relative frequencies). Recognize possible associations and trends in the date.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
UT.SIII.SECONDARY MATHEMATICS III
SECONDARY MATHEMATICS III
SIII.A.APR. ALGEBRA—Arithmetic With Polynomials and Rational Expressions (A.APR)
Perform arithmetic operations on polynomials, extending beyond the quadratic polynomials (Standard A.APR.1). Understand the relationship between zeros and factors of polynomials (Standards A.APR.2–3). Use polynomial identities to solve problems (Standards
SIII.A.APR.1. Understand that all polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
SIII.A.CED. ALGEBRA: CREATING EQUATIONS (A.CED)
Create equations that describe numbers or relationships, using all available types of functions to create such equations (Standards A.CED.1–4).
SIII.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
SIII.A.CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
SIII.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. For example, maximizing the volume of a box for a given surface area while
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
SIII.A.CED.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange the compound interest formula to solve for t: A = P(1+r/n)^nt
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
SIII.A.REI. ALGEBRA: REASONING WITH EQUATIONS AND INEQUALITIES (A.REI)
Understand solving equations as a process of reasoning and explain the reasoning (Standard A.REI.2). Represent and solve equations and inequalities graphically (Standard A.REI.11).
SIII.A.REI.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, for example, using technology to graph the functions, make table
Flip Charts Introduction to Functions
Flip Charts Math Grade 8
Flip Charts Systems of Equations
Flip Charts Systems of Equations
SIII.F.IF. FUNCTIONS—Interpreting Functions (F.IF)
Interpret functions that arise in applications in terms of a context. Analyze functions using different representations.
SIII.F.IF.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercept
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
SIII.F.IF.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
SIII.MP. MATHEMATICAL PRACTICES (MP)
The Standards for Mathematical Practice in Secondary Mathematics III describe mathematical habits of mind that teachers should seek to develop in their students. Students become mathematically proficient in engaging with mathematical content and concepts
SIII.MP.1. Make sense of problems and persevere in solving them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
SIII.MP.2. Reason abstractly and quantitatively
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
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