7th Grade Algebra and Functions

Version 21, changed by timf. 10/11/2007.   Show version history

 

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Standard  + Sample Problem(s)	Mathcasts	ExamView
7AF.1.0 Students express quantitative relationships by using algebraic terminology, expressions, equations, inequalities, and graphs:
7AF.1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description (e.g., three less than a number, half as large as area A).	On  Voicethread      7AF1.1          9      needed
7AF.1.2 Use the correct order of operations to evaluate algebraic expressions such as 3(2x + 5)^2.	On  Voicethread      7AF1.2          2      needed
7AF.1.3 Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative) and justify the process used.	On  Voicethread      7AF1.3          6      needed
7AF.1.4 Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly.	On  Voicethread      7AF1.4          8      needed
7AF.1.5 Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph.	On  Voicethread      7AF1.5          4      needed
7AF.2.0 Students interpret and evaluate expressions involving integer powers and simple roots:
7AF.2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.	On  Voicethread      7AF2.1          3      needed
7AF.2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent.	On  Voicethread      7AF2.2          5      needed
7AF.3.0 Students graph and interpret linear and some nonlinear functions:
7AF.3.1 Graph functions of the form y = n2 and y = n3 and use in solving problems.	On  Voicethread      7AF3.1          2      needed
7AF.3.2 Plot the values from the volumes of three-dimensional shapes for various values of the edge lengths (e.g., cubes with varying edge lengths or a triangle prism with a fixed height and an equilateral triangle base of varying lengths).	On  Voicethread      7AF3.2          2      needed
7AF.3.3 Graph linear functions, noting that the vertical change (change in y- value) per unit of horizontal change (change in x- value) is always the same and know that the ratio ("rise over run") is called the slope of a graph.	On  Voicethread      7AF3.3          2      needed
7AF.3.4 Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of a circle). Fit a line to the plot and understand that the slope of the line equals the quantities.	On  Voicethread      7AF3.4          2      needed
7AF.4.0 Students solve simple linear equations and inequalities over the rational numbers:
7AF.4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results.	On  Voicethread      7AF4.1          3      needed
7AF.4.2 Solve multistep problems involving rate, average speed, distance, and time or a direct variation.	On  Voicethread      7AF4.2          2      needed

Keywords: addition

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	File	By	Size	Attached	Ver.
	7af1.1.gif	timf	13K	09/28/2007	2
	7af1.2.gif	timf	4K	09/28/2007	1