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Math Grade 8 Standards
Idaho Department of Education Content Standards 
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.
CL: D 
• Use variables in expressions, equations, and inequalities  • Apply order of operations to
variable expressions • Evaluate expressions by replacing variables with given numbers 
variable • algebraic • expression • evaluate • simplify  • Evaluate for n=3: 2n+5n • Evaluate the expression for m=5.2 and n=4.1: 5m2n*3 

8.M.3.1.2 Translate simple word
statements and story problems into algebraic expressions and equations.
CL: D 
• Translate simple word statements and story problems into algebraic expressions and equations  • Assign variables to write algebraic
expressions • 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.
CL: D 
• 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. People at least 65 years old receive a senior citizen discount. 

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.
CL: C 
• 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
simplify: 2.5+5.3+7.5 (n+14)(8) 2*13*5 

8.M.3.2.2 Use the order of operations
in evaluating simple algebraic expressions.
CL: C 
• Use the order of operations in evaluating simple algebraic expressions  • Recognize and apply correct order of operations  • Evaluate: n+(13n)/5 for n=3 

8.M.3.2.3 Simplify algebraic
expressions.
CL: C 
• 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: 8c3(c+5) 

Goal 3.3: Solve algebraic equations and inequalities.  8.M.3.3.1 Solve one and twostep
equations and inequalities.
CL: C 
• Solve one and twostep 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 • 7b+3=24 

8.M.3.3.2 Match graphical
representations with simple linear equations.
CL: C, D 
• Recognize linear equations in
slopeintercept form • Match graphical representations with simple linear equations 
• Identify parts of a coordinate
plane • Create a table of values given a linear equation and use the ordered pairs to plot a line • Identify slope and yintercept from y = mx + b and represent as a graph 
origin • x and yaxes • ordered pair • slope • yintercept • linear • slope intercept form • coordinate plane  • Which of the following is a graph of
the equation y=2x1? • Graph y=2/3x2 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
numbers .
CL: E 
• 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 verticalline test. Is the relation a function?
• Identify the slope and yintercept 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.
CL: 
• 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
and notations.
CL: 
• 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.
CL: D 
• Use patterns and linear functions to represent and solve problems  • Identify patterns in problems • Discover function rule for pattern • Evaluate using function 
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