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Instructional Tasks
Stand alone tasks are organized to support learning of content standards. These tasks can be used as initial instruction or to support students who are struggling with a particular topic.
Strand: MATHEMATICAL PRACTICES (MP)
- No Instructional Tasks at this time. If you have a suggestion, please contact the elementary mathematics specialist.
Strand: 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).
Strand: NUMBER AND QUANTITY - The Complex Number System (N.CN)
Perform arithmetic operations with complex numbers (Standards N.CN.1–2).
Use complex numbers in polynomial identities and equations (Standards N.CN.7–9).
Strand: 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).
Strand: 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).
Strand: 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).
Strand: ALGEBRA - Reasoning With Equations and Inequalities (A.REI)
Solve equations and inequalities in one variable (Standard A.REI.4)
Solve systems of equations. Extend the work of systems to include solving systems consisting of one linear and one nonlinear equation (Standard A.REI.7).
Strand: 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).
Strand: 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).
Strand: FUNCTIONS - Linear, Quadratic, and Exponential Models (F.LE)
Construct and compare linear, quadratic, and exponential models and solve problems (Standard F.LE.3).
Strand: FUNCTIONS - Trigonometric Functions (F.TF)
Prove and apply trigonometric identities. Limit θ to angles between 0 and 90 degrees. Connect with the Pythagorean Theorem and the distance formula (Standard F.TF.8).
Strand: 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 expressing that reasoning (Standards G.CO.9–11).
Strand: 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).
Strand: GEOMETRY - Circles (G.C)
Understand and apply theorems about circles (Standard G.C.1–4).
Find arc lengths and areas of sectors of circles. Use this as a basis for introducing the radian as a unit of measure. It is not intended that it be applied to the development of circular trigonometry in this course (Standard G.C.5).
Strand: GEOMETRY - Expressing Geometric Properties With Equations (G.GPE)
Translate between the geometric description and the equation for a conic section (Standard G.GPE.1).
Use coordinates to prove simple geometric theorems algebraically. Include simple proofs involving circles (Standard G.GPE.4).
Use coordinates to prove simple geometric theorems algebraically (Standard G.GPE.6).
Strand: GEOMETRY - Geometric Measurement and Dimension (G.GMD)
Explain volume formulas and use them to solve problems (Standards G.GMD.1, 3).
Strand: STATISTICS - Interpreting Categorical and Quantitative Data (S.ID)
Summarize, represent, and interpret data on two categorical or quantitative variables (Standard S.ID.5).
Strand: STATISTICS - Conditional Probability and the Rules of Probability (S.CP)
Understand independence and conditional probability and use them to interpret data (Standards S.CP.1, 4–5).
Use the rules of probability to compute probabilities of compound events in a uniform probability model (Standard S.CP.6).
HONORS - Strand: NUMBER AND QUANTITY - Complex Number System (N.CN)
Perform arithmetic operations with complex numbers (Standard N.CN.3).
Represent complex numbers and their operations on the complex plane (Standards N.CN.4–5).
HONORS - Strand: ALGEBRA - Reasoning With Equations and Inequalities (A.REI)
Solve systems of equations (Standards A.REI.8–9).
HONORS - Strand: FUNCTIONS - Interpreting Functions (F.IF)
Analyze functions using different representations (Standards F.IF.10–11).
HONORS - Strand: GEOMETRY - Expressing Geometric Properties With Equations (G-GPE)
Translate between the geometric description and the equation for a conic section (Standards G.GPE.2–3).
HONORS - Strand: 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).
The Online Core Resource pages are a collaborative project between the Utah State Board of Education and the Utah Education Network. If you would like to recommend a high quality resource, contact Trish French (Elementary) or Lindsey Henderson (Secondary). If you find inaccuracies or broken links contact resources@uen.org.