Algebraic Concepts
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M3.D Algebraic Concepts


M3.D.1.1 Recognize, describe, or extend a variety of patterns. Reference: 2.8.3.A, 2.11.3.D

M3.D.1.1.1 Extend or find a missing element in a pattern of numbers or shapes (pattern must show 3 repetitions – if multiples are used, limit to 2, 3 or 5). M3.D.1.1.2 Identify/describe the rule for a pattern shown (pattern must show 3 repetitions –if multiples are used, limit to 2, 3 or 5).

M3.D.1.2 Demonstrate simple function rules. Reference: 2.8.3.I 
M3.D.1.2.1 Determine the missing element in a function table (functions may use +,  or x; allowable multiples are 2, 3 or 5; tables must have 3 INs and 3 OUTs listed). 
M3.D.2 Represent and/or analyze mathematical situations using numbers, symbols, words, tables and/or graphs. 

M3.D.2.1 Create/model expressions, equations and inequalities to match a problem situation. Reference: 2.8.3.D 
M3.D.2.1.1 Create or match a story to a given combination of symbols (+,  , x, <, >, =) and numbers. M3.D.2.1.2 Choose the number sentence that matches a given story (one operation, + or  only). 
M3.D.2.2 Determine the missing number or symbol in a number sentence. Reference: 2.8.3.B, 2.8.3.F

M3.D.2.1.1 Create or match a story to a given combination of symbols (+,  , x, <, >, =) and number up to 18 using +,,or x through 9x5). 
M5.D.1 Demonstrate an understanding of patterns, relations and functions. 

M5.D.1.1 Create or extend patterns. Reference: 2.8.5.A 
M5.D.1.1.1 Extend or find a missing element in a numerical or simple geometric pattern (pattern must show 3 repetitions). M5.D.1.1.2 Create a numerical or geometric pattern showing 3 repetitions of that pattern.

M5.D.1.2 Analyze patterns. Reference: 2.8.5.C 
M5.D.1.2.1 Form a rule based on a given pattern, or illustrate a pattern based on a given rule (whole numbers up to 1 00  patterns must show 3 repetitions).

M5.D.2.1 Select and/or use appropriate strategies, including concrete materials, to solve number sentences. Reference: 2.8.5.F, 2.8.5.G 
M5.D.2.1.1 Solve for a missing number (blank, question mark, variable)in an equation involving a single operation. M5.D.2.1.2

M5.D.3.1 Describe the relationship between rate of change and another variable (e.g., time, temperature). Reference: 2.11.5.D 
M5.D.3.1.1 Solve problems involving a constant rate of change (e.g., word problems, graphs or data tables). 
M8.D.1 Demonstrate an understanding of patterns, relations and functions. 

M8.D.1.1 Analyze, extend or develop descriptions of patterns or functions. Reference: 2.8.8.B, 2.8.8.G, 2.11.8.C 
M8.D.1.1.1 Continue a numeric or algebraic pattern that could be extended infinitely (pattern must show 3 repetitions – may include up to 2 operations, squares and square roots). M8.D.1.1.2 Find missing elements in numeric, geometric or graphic patterns and/or functions (may be given a table or rule –pattern must show 3 repetitions). M8.D.1.1.3 Write/state the rule of a function (given elements in an input output table, chart or list). 
M8.D.2.1 Select and/or use a strategy to simplify an expression, solve an equation or inequality and/or check the solution for accuracy. Reference: 2.8.8.C, 2.8.8.E 
M8.D.2.1.1 Solve one or twostep equations and inequalities (should not include absolute values – one variable only). M8.D.2.1.2 Use substitution to check the accuracy of a given value for an equation or inequality (simple inequalities with one variable). M8.D.2.1.3 Determine the value of an algebraic expression by simplifying and/or substituting a value for the variable. 
M8.D.2.2 Create and/or interpret expressions, equations or inequalities that model problem situations. Reference: 2.8.8.C 
M8.D.2.2.1 