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Math Grade 8 Standards
Idaho Department of Education Content Standards 
Objective  Sub Objectives  Task Analysis  Essential Vocabulary  Sample Assessment  Resources 
Cognitive level codes: • B: Memorize • C: Perform procedures • D: Demonstrate understanding • E: Conjecture, generalize, prove • F: Solve nonroutine problems, make connections 
Bloom's Equivalent • B = Knowledge • C = Comprehension • D = Comprehension • E = Application and Analysis • F = Synthesis 
Calculator codes: o NO: student MUST NOT have a calculator while completing this item in order to assess this objective. 
Shaded objectives should be assessed in the classroom, but not included on the ISAT assessment.  virtual manipulatives  
Standard 1: Number and Operation  
Goal 1.1: Understand and use numbers.  8.M.1.1.1 Compare magnitudes and relative magnitudes of rational numbers, including integers, fractions, decimals, percents, and absolute values. CL: C, 
• Identify absolute values of rational numbers • Compare magnitudes and relative magnitudes of rational numbers, including integers, fractions, decimals, percents, and absolute values. 
• Convert between fractions, decimals, and percents • Order positive and negative integers and other positive rational numbers • Define and evaluate absolute values • Compare magnitude of numbers (including absolute values) using less than, greater than, etc. 
integer • rational numbers • absolute value • repeating and terminating decimals  • Compare using <, > or = 3.14__3.4 3/4 __75% │12│ __ 12 
Compare and Order Rational Numbers 
8.M.1.1.2 Use rational numbers, including percents and
ratios, and π (pi) to solve problems.
CL: C, 
• Solve problems using rational numbers, including percents and ratios, and π (pi)  • See 8.M.1.1.1 • Determine appropriate form of percent to solve problems • Recognize and apply formulas to solve problems • Utilize ratios to solve real life problems. 
ratio • simple interest • percent increase • percent decrease • net cost after discount • pi as a ratio (22/7) • tax • discount  • An art collector sold 1/3 of his collection to a
friend. The collector then donated 50% of what was left to a museum.
What part of the original collection did the collector have left • A pair of jeans regularly selling for $55.00 is on sale for 25% off. Find the total cost including 6% tax. • If you invest $2500 at 4% interest 
Percent Notation  
8.M.1.1.3 Locate the position of rational numbers and
positive real numbers on a number line.
CL: C 
• Locate the position of rational numbers and positive real numbers on a number line  • See 8.M.1.1.1 • Distinguish magnitude of numbers by placing them appropriately on a number line 
real numbers  • Plot the following points on a horizontal number line: 0, 2, 2/3, 1 1/2, │7│, √9, 7/2  Rationals on a Number Line  
8.M.1.1.4 Convert between standard form, scientific
notation, and exponential form. CL: C 
• Convert between standard form, scientific notation, and exponential form.  • Use exponents to show repeated multiplication • Differentiate between positive and negative exponents within scientific notation • Convert from standard form to scientific notation • Convert from scientific notation to standard form 
standard form • scientific notation • exponential form  • Write the number in standard form:3.2 x 10^{3}
• Write the number in scientific notation:36,500,000 

8.M.1.1.5 Apply number theory
concepts (primes, composites, prime factorization, LCM, GCF).
CL: C 
• Identify prime and composite
numbers
• Utilize prime factorization to find LCM and GCF 
• Apply rules of divisibility • Calculate the prime factorization of composite numbers • Find the LCM and/or GCF of two numbers less than 100 
prime • composite • prime factorization • LCM • GCF • factors • multiples • relatively prime  • Find the GCF of these numbers 48 &
72. • Find the LCM of these numbers 14 & 21. 

8.M.1.1.6 Recognize pertinent
information for problem solving.
CL: C, D 
• Recognize pertinent information for problem solving.  • Utilize data tables to solve
problems • Identify necessary information 
pertinent  • A hiking trail is 43 5/9 miles long. There is a cabin every 4 1/2 miles and an outhouse every 10 miles. How many cabins are along the trail? Explain why you chose the method you used.  
8.M.1.1.7 Apply integers in one and
twostep common real world situations.
CL: C 
• Simulate realworld situations using integers in one or two steps .  • Apply integer concepts to calculate solutions to real world situations  ascend • descend  • Mount Kilimanjaro has an altitude of 19,340 feet. The lowest point in the Dead Sea has an altitude of 1,312 feet. Which altitude is farther from sea level?  
8.M.1.1.8 Use appropriate vocabulary.
CL: 
• Use appropriate vocabulary.  • Communicate using correct
mathematical terminology • Communicate and interpret inequality symbols correctly 
• Give the symbol for greater than or equal to.  
Goal 1.2: Perform computations accurately.  8.M.1.2.1 Recall the common
equivalent fractions , decimals, and percents of halves, thirds, fourths,
fifths, and tenths.
CL: 
• Recall the common equivalent fractions, decimals, and percents of halves, thirds, fourths, fifths, and tenths  • Memorize common fractions, decimals and percents  quarter  • Write 66⅔ % as a fraction  
8.M.1.2.2 Add, subtract, multiply,
and divide rational numbers.
CL: C 
• Add, subtract, multiply, and divide rational numbers  • Use common denominators to add and
subtract fractions • Evaluate expressions containing decimals without calculators • Perform multiplication and division of fraction utilizing appropriate reduction techniques • Evaluate expressions using positive and negative integers • State answers in simplest terms 
reduce • simplify • evaluate • reciprocal • multiplicative inverse  • Write answers in simplest form: 3/4 + 7/8 4.5 * 56 5/8 ÷ 1/2 (2) + (5)  (3) 

8.M.1.2.3 Evaluate numerical
expressions with whole number exponents.
CL: C 
• Evaluate numerical expressions with whole number exponents  • Expand and simplify exponential terms  squared • cubed • base • exponent • power  • Evaluate 3^4  
8.M.1.2.4 Evaluate numerical
expressions with rational numbers using the order of operations.
(337.02.c)
CL: C 
• Evaluate numerical expressions with rational numbers using the order of operations  • Evaluate square and cube roots • Recognize and apply correct order of operations • See 8.M.1.2.2 
roots • square roots • cube roots • grouping symbols such as parenthesis , brackets, etc  • 15 + 3(62^2)  
8.M.1.2.5 Select and use an
appropriate method of computation from mental math, paper and pencil,
calculator, or a combination of the three .
CL: 
• Select and apply an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three.  • Simplify mental calculations first
when possible • Differentiate between appropriate use of pencil and paper or calculator 
• Four picture frames cost $5.98 each. Which would you use to find the total costmental math or paper and pencil? Explain your choice.  
8.M.1.2.6 Use a variety of strategies
including common mathematical formulas to compute problems drawn from
real life situations. (338.01.a)
CL: C Formulas will be given in problem and limited to area of a parallelogram, triangle, and circle , circumference of a circle, distance formula, simple interest formula, and volume of a rectangular prism. 
• Apply a variety of strategies including common mathematical formulas to compute problems drawn from real life situations  • Replace variables in formulas with appropriate quantities from the problem and evaluate  formula • variable  • Tyrone drove 1,570 miles in 4 days. Using the formula d=rt, find the average distance he drove each day.  
8.M.1.2.7 Use appropriate vocabulary
and notations.
CL: 
• Use appropriate vocabulary and notations  • Communicate using correct
mathematical terminology • Read numbers in exponential and radical form correctly 
• Read 2^3 correctly  
Goal 1.3: Estimate and judge reasonableness of results.  8.M.1.3.1 Estimate to predict
computation results. CL: 
• Estimate to predict computation results  • Use a variety of appropriate strategies to estimate solutions  compatible numbers • predict • reasonable  • About 41% of the 13 million people
in Guatemala live in cities. Estimate how many people live in cities. • Tim is a car salesman and earns a 5% of the price of the cars he sells. Last month he sold 8 cars for a total of $152,558.75. Estimate the amount Tim earned last month. 

8.M.1.3.2 Identify when estimation is
appropriate and apply to problem solving situations. (337.03.b)
CL: 
• Identify when estimation is appropriate and apply to problem solving situations  • Solve problems involving approximate answers  approximate  • Shaneekqua has $40 in her pocket. Can she leave a 15% tip for a restaurant bill of $31.49?  
8.M.1.3.3 Identify whether a given
estimate is an overestimate or underestimate.
CL: E 
• Identify whether a given estimate is an overestimate or underestimate  • Explain how the estimate was
developed • Conclude whether given estimate is above or below appropriate estimate 
overestimate • underestimate  • Bill estimated that he needed to purchase 15 12foot pipes to complete a sprinkler project requiring 150 feet of pipe. Is this an over or under estimate?  
8.M.1.3.4 Use a fourfunction
calculator to solve complex gradelevel problems.
CL: 
• Use a fourfunction calculator to solve complex gradelevel problems  • Identify limitations of four function calculators in regards to order of operations  • Use a four function calculator to evaluate for n=3: 5n^25(2n3)^2  
8.M.1.3.5 Formulate conjectures and
justify (short of formal proof) why they must be or seem to be true.
CL: 
• Formulate conjectures and justify (short of formal proof) why they must be or seem to be true  • Predict reasonable solutions • Explain appropriate problem solving strategies 
conjecture • justify • formulate  • For the problem 3+2x74 Sally arrived at the solution 15 and Jacob found the solution to be 13. Who is correct? How was the incorrect solution found.  
8.M.1.3.6 Use appropriate vocabulary
and notations. CL: 
• Use appropriate vocabulary and notations  • Communicate using correct mathematical terminology 
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