8th grade Math Guide

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ACT Readiness Standards Utah Core State Standards

4.OA.3a. Solve multi-step word problems posed with whole numbers and having whole number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equation with a letter standing for the unknown quantity. 6.EE.2a. Write expressions that record operations with numbers and with letters representing numbers. For example, express the calculations “Subtract y from 5” and 5 – y and express “Jane had $105.00 in her bank account. One year later she had x dollars more.” Write an expression that shows her new balance as $105.00 = x. 6.EE.6. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. 7.EE.4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. SMI.F.IF.3. Recognize that sequences are functions, sometimes defined recursively, whose strand 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 recursively by f(0) = f(1)-1, f(n + 1) = f(n) + f( n – 1) for ≥ 1 . SMI.F.BF.2. Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. Limit to linear and exponential functions. Connect arithmetic sequences to linear functions and geometric sequences to exponential functions. SMII.F.BF.1a. Write a quadratic or exponential function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or steps for calculation from a context. SMII.F.TF.8. Prove the Pythagorean identity 2 ( )+ 2 ( )=1 and use it to find sin( ) , cos( ) , or tan( ) given sin( ) , cos( ) , or tan( ) and the quadrant of the angle. SMIII.F.TF.7. Use inverse functions to solve trigonometric equations that arise in modeling context; evaluate the solutions using technology and interpret them in terms of context. Limit solutions to a given interval.

Perform straightforward word to-symbol translations.

F 502. Find the next term in a sequence described recursively

F 706. Use trigonometric concepts and basic identities to solve problems

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