Alignments

Create programs that use variables to store and modify grade level appropriate data. [See: Defining Values.]

Compare multiple algorithms for the same task. [See: Making Flags.]

Decompose the steps needed to solve a problem into a precise sequence of instructions. [See: Making Flags.]

Use an iterative process to plan the development of a program while solving simple problems. [See: Solving Word Problems with the Design Recipe.]

Analyze and debug a program that includes sequencing, repetition and variables in a programming language. [See: Making Flags.]

Communicate and explain your program development using comments, presentations and demonstrations. [See: Solving Word Problems with the Design Recipe.]

Compare and refine multiple algorithms for the same task. [See: Making Flags.]

Create programs using a programming language that utilize sequencing, repetition, conditionals and variables using math operations manipulate values to solve a problem or express ideas both independently and collaboratively. [See: Making Flags.]

Communicate and explain your program development using comments, presentations and demonstrations. [See: Solving Word Problems with the Design Recipe.]

Create programs that use variables to store and modify grade level appropriate data. [See: Defining Values.]

Compare and refine multiple algorithms for the same task and determine which is the most efficient. [See: Function Composition; Making Flags.]

Communicate and explain your program development using comments, presentations and demonstrations. [See: Solving Word Problems with the Design Recipe.]

Create programs that use variables to store and modify grade level appropriate data. [See: Defining Values.]

Describe, classify and construct triangles, including equilateral, right, scalene, and isosceles triangles. Recognize triangles in various contexts. [See: Contracts.]

Plot integer- and rational-valued (limited to halves and fourths) ordered-pairs as coordinates in all four quadrants and recognize the reflective relationships among coordinates that differ only by their signs. [See: Making Flags.]

Use and evaluate variables in expressions, equations, and inequalities that arise from various contexts, including determining when or if, for a given value of the variable, an equation or inequality involving a variable is true or false. [See: Simple Data Types.]

Use an existing algorithm in natural language or pseudocode to solve complex problems. [See: Solving Word Problems with the Design Recipe.]

Decompose problems into parts to facilitate the design, implementation, and review of programs. [See: Making Flags.]

Seek and incorporate feedback from team members to refine a solution to a problem. [See: Making Flags.]

Document text-based programs in order to make them easier to follow, test, and debug. [See: Solving Word Problems with the Design Recipe.]

Develop and use the fact that the sum of the interior angles of a triangle is 180° to determine missing angle measures in a triangle. [See: Contracts.]

Explain how computing impacts people’s everyday activities. [See: Computing Needs All Voices.]

Represent real-world or mathematical situations using equations and inequalities involving variables and rational numbers. [See: Defining Values.]

Select and modify an existing algorithm in natural language or pseudocode to solve complex problems. [See: Simple Data Types; Solving Word Problems with the Design Recipe.]

Document text-based programs of increasing complexity in order to make them easier to follow, test, and debug. [See: Solving Word Problems with the Design Recipe.]

Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors resulting from dilations. [See: Making Flags.]

Apply proportions, ratios, and scale factors to solve problems involving scale drawings and determine side lengths and areas of similar triangles and rectangles. [See: Making Flags.]

Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. [See: Simple Data Types.]

Compare and order rational numbers expressed in various forms using the symbols <, >, and =. [See: Simple Data Types.]

Recognize and generate equivalent representations of rational numbers, including equivalent fractions. [See: Simple Data Types.]

Design algorithms in natural language, flow and control diagrams, comments within code, and/or pseudocode to solve complex problems. [See: Making Flags; Solving Word Problems with the Design Recipe.]

Develop programs that utilize combinations of nested repetition, compound conditionals, procedures without parameters, and the manipulation of variables representing different data types. [See: Simple Data Types.]

Explain how effective communication between participants is required for successful collaboration when developing computational artifacts. [See: Solving Word Problems with the Design Recipe.]

Document text-based programs of increasing complexity in order to make them easier to follow, test, and debug. [See: Solving Word Problems with the Design Recipe.]

Identify the dependent and independent variables as well as the domain and range given a function, equation, or graph. Identify restrictions on the domain and range in real-world contexts. [See: Contracts.]

Write linear functions, using function notation, to model real-world and mathematical situations. [See: Contracts; Function Composition.]

Given a graph modeling a real-world situation, read and interpret the linear piecewise function (excluding step functions). [See: Contracts.]

Represent functions in multiple ways and use the representation to interpret real-world and mathematical problems. [See: Function Composition; Defining Values.]

Identify and generate equivalent representations of linear equations, graphs, tables, and real-world situations. [See: Defining Values.]

Use function notation; evaluate a function, including nonlinear, at a given point in its domain algebraically and graphically. Interpret the results in terms of real-world and mathematical problems. [See: Function Composition.]

Add, subtract, and multiply functions using function notation. [See: Function Composition.]

Construct logical arguments to prove triangle congruence (SSS, SAS, ASA, AAS and HL) and triangle similarity (AA, SSS, SAS). [See: Contracts.]

Develop and use a series of test cases to verify that a program performs according to its design specifications. [See: Solving Word Problems with the Design Recipe.]

Develop a deep and flexible conceptual understanding. [See: Making Flags.]

Develop mathematical reasoning. [See: Making Flags.]

Develop the ability to communicate mathematically. [See: Solving Word Problems with the Design Recipe.]

Recognize that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable. [See: Contracts.]

Use linear functions to represent and explain real-world and mathematical situations. [See: Solving Word Problems with the Design Recipe.]

Identify a function as linear if it can be expressed in the form y = mx + b or if its graph is a straight line. [See: Solving Word Problems with the Design Recipe.]

Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols, and graphs; solve problems involving linear functions and interpret results in the original context. [See: Solving Word Problems with the Design Recipe.]

Represent linear functions with tables, verbal descriptions, symbols, and graphs; translate from one representation to another. [See: Solving Word Problems with the Design Recipe.]

Use substitution to simplify and evaluate algebraic expressions. [See: Function Composition; Defining Values.]

Represent real-world and mathematical problems using equations and inequalities involving linear expressions. Solve and graph equations and inequalities symbolically and graphically. Interpret solutions in the original context. [See: Making Flags.]