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 Depdendent Variable

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 Dependent Variable

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# Algebraic Concepts

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## M3.D Algebraic Concepts M3.D.1 Demonstrate an understanding of patterns, relations and functions.

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
Choose the operation needed to solve for the variable in a one-step equation.

M5.D.2.1.3
Match a realistic situation to an equation, expression, inequality (<, >, =), table or graph (variable must be isolated, e.g., 17 +39 = n).

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 two-step 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
Match a written situation to its numeric and/or algebraic expression, equation or inequality (up to two variables in equations
or expressions – one variable with inequalities).

M8.D.2.2.2
Write and solve an equation for a given problem situation (one variable only).