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Math Grade 8 Standards
|Idaho Department of Education
|Objective||Sub Objectives||Task Analysis||Essential Vocabulary||Sample Assessment||Resources|
|Standard 3: Concepts and Language of Algebra and Functions|
|Goal 3.1: Use algebraic symbolism as a tool to represent mathematical relationships.||8.M.3.1.1 Use variables in
expressions, equations, and inequalities.
|• Use variables in expressions, equations, and inequalities||• Apply order of operations to
• Evaluate expressions by replacing variables with given numbers
|variable • algebraic • expression • evaluate • simplify||• Evaluate for n=3: 2n+5-n
• Evaluate the expression for m=5.2 and n=4.1: 5m-2n*3
|8.M.3.1.2 Translate simple word
statements and story problems into algebraic expressions and equations.
|• Translate simple word statements and story problems into algebraic expressions and equations||• Assign variables to write algebraic
• Represent given mathematical vocabulary with appropriate operational symbols
|sum • difference • quotient • product • less/greater than • increased/decreased by||• An object's weight on Mars is 0.38 times the object's weight on Earth. Write an algebraic expression for an object's weight on Mars.|
|8.M.3.1.3 Use symbols “<,” “>,”“=,”
“≤,” “≥.” and “≠” to express relationships.
|• Use symbols “<,” “>,”“=,” “≤,” “≥,” and “≠” to express relationships||• Define symbols of inequality
• Write inequalities and equations to represent numerical relationships
|not equal||• Write the inequality for:y minus 4
is a negative number.
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|Goal 3.2: Evaluate algebraic expressions.||8.M.3.2.1 Use and apply the following
properties in evaluating algebraic expressions: commutative,
associative, identity, zero, inverse, distributive, and substitution.
|• Use and apply the following properties in evaluating algebraic expressions: commutative, associative, identity, zero, inverse, distributive, and substitution||• Use associative and commutative
properties to simplify expressions
• Identify identity properties of addition and multiplication
• Identify inverse properties of addition and multiplication
• Apply distributive property to expressions
• Describe zero property
• Practice evaluating expressions using substitution
|commutative • associative • identity • zero • inverse • distributive • substitution||• Use the appropriate property to
|8.M.3.2.2 Use the order of operations
in evaluating simple algebraic expressions.
|• Use the order of operations in evaluating simple algebraic expressions||• Recognize and apply correct order of operations||• Evaluate:
n+(13-n)/5 for n=3
|8.M.3.2.3 Simplify algebraic
|• Simplify algebraic expressions||• Apply properties from 8.M.3.2.1
• Illustrate simplifying expressions by combining like terms and using distributive property
|like terms||• Simplify:
|Goal 3.3: Solve algebraic equations and inequalities.||8.M.3.3.1 Solve one- and two-step
equations and inequalities.
|• Solve one- and two-step equations and inequalities||• Apply properties from 8.M.3.2.1
• Apply addition and subtraction properties of equality/inequality
• Apply multiplication and division properties of equality/inequality including multiplicative inverse/reciprocal
|isolate • solution • reciprocal/multiplicative • inverse||• 7+x/4=3
|8.M.3.3.2 Match graphical
representations with simple linear equations.
CL: C, D
|• Recognize linear equations in
• Match graphical representations with simple linear equations
|• Identify parts of a coordinate
• Create a table of values given a linear equation and use the ordered pairs to plot a line
• Identify slope and y-intercept from y = mx + b and represent as a graph
|origin • x- and y-axes • ordered pair • slope • y-intercept • linear • slope intercept form • coordinate plane||• Which of the following is a graph of
the equation y=2x-1?
• Graph y=-2/3x-2 using 0,3 and 6 as the x values
|Goal 3.4: Understand the concept of functions.||8.M.3.4.1 Extend patterns and
identify a rule (function) that generates the pattern using rational
|• Extend patterns and identify a rule (function) that generates the pattern using rational numbers||• Recognize input/output
relationships of functions
• Represent function using a table
• Write a rule to extend pattern
• Use function notation to represent relationship (y = mx + b as f(x) = mx + b)
|function • function rule • input/output • relation||• Graph the relation in the table.
Then use the vertical-line test. Is the relation a function?
• Identify the slope and y-intercept of the graph
of the equation. Then graph the equation.
|8.M.3.4.2 Use relationships to
explain how a change in one quantity may result in a change in another,
and identify the relationship as a positive, negative, or neither.
|• Use relationships to explain how a change in one quantity may result in a change in another, and identify the relationship as a positive, negative, or neither||• Use a graph or table to show how a change in one quantity affects the other quantity||quantity • rate of change|
|8.M.3.4.3 Use appropriate vocabulary
|• Use appropriate vocabulary and notations||• Communicate using correct mathematical terminology|
|Goal 3.5: Represent equations, inequalities and functions in a variety of formats.||8.M.3.5.1 Represent a set of data in
a table, as a graph, and as a mathematical relationship.
CL: C, D
|• Represent a set of data in a table as a graph, and as an equation||• Establish input/output relationship between data in table and graph or equation||data table||• Write a rule for the linear function
in the graph.
• The scatter plot shows the study times and test scores for a number of students.
• Describe the person represented by point A.
|Goal 3.6: Apply functions to a variety of problems.||8.M.3.6.1 Use patterns and linear
functions to represent and solve problems.
|• Use patterns and linear functions to represent and solve problems||• Identify patterns in problems
• Discover function rule for pattern
• Evaluate using function