will increase the ability to describe and make generalizations through patterns and functions and represent them in multiple ways to ________ as measured by _________ (slate scoring guide, performance assessment, teacher survey, probe, etc. ).
Use patterns, functions and algebraic operations lo represent and solve problems.
Sort and classify objects by one or more than one attribute.
Describe how objects are the same and/or different.
Create own categories for classification based on observation of common attributes.
Identify, describe, extend and create numerical, geometric, and visual patterns, including repeating patterns and "growing" patterns.
Build and extend math patterns correctly using pictures and/or rules.
Identify. Describe, and create linear and simple exponential patterns such as doubling.
Identify, describe. And create and analyze patterns and sequences (arithmetic and geometric).
Discover, describe, and generalize patterns including linear, exponential and quadratic relationships.
Continue a pattern when the first three or four terms of the pattern are given. Describe the 10th or 100th figure in the series.
Identify patterns in simple situations that lead to generalizations that can be used to solve more complex problems.
Describe a simple rule that generates a pattern.
Identify and use classification and patterns lo make predictions and solve problems (classify, sod, copy, extend. Verbalize).
Model situations and solve problems using linear, quadratic and exponential functions.
Identify problems that involve patterns and use patterns to solve these problems.
Recognize equivalence of two different rules for describing the same pattern.
Investigate and solve linear and nonlinear equations and inequalities using concrete, informal and formal methods.
Demonstrate an understanding of properties of functions such as slope, evaluation, and solutions.
Use physical models, pictures and reasoning lo solve equations representing word problems.
Use physical and visual models, and equations to solve problems.
Represent and solve problems using recursive relationships and/or matrices.
Represent and describe mathematical relationships between two quantities using pictures, words, objects, and/or symbols (3) and/or manipulatives.
Use and analyze simple relationships shown on graphs and tables.
Recognize and use relationships and logical thinking skills to make predictions and solve problems.
Represent mathematical relationships using tables, graphs, patterns, generalizations, variables, and equations.
Represent and analyze discrete structures and continuous functions using tables, graphs, matrices, and/or equations to make generalizations.
Describe a pattern or relationship using a table, graph, and algebraic expressions (e. G. , write a formula to express variation relationships).
Explain how one quantity determines another in a pattern.
Represent how a change in one quantity can result in a change in another.
Describe patterns using arithmetic and geometric sequences.
Plot integers on a number line and plot position on the coordinate grid.
Recognize that the relationships between two quantities remains the same as long as the same change is made to both quantities.
Recognize proportional and non-proportional relationships between quantities.
Express algebraic relationships using variables and open sentences.
Analyze relationships to explain how a change in one quantity results in a change in another.
Explain how a change in one quantity produces a change in another algebraically and in applied situations.