GRADE 5

Standards
Priority
Clarification and Examples
Number Sense - Grade 5
56%
  
1. Students read, write, compare, analyze, extend patterns, and relate whole numbers, fractions, decimals, and percent.     
1.1 Students read and write numerals up to one billion.
2
  
1.2 Students read and write decimals through ten thousandths and identify place value of digits.
3
  
1.3 Students compare and order decimal numbers through ten thousandths and round decimal numbers to the nearest tenth or hundredth.
2
 Order 0.009 0.909 0.090 0.099
1.4 Students determine the prime factors of numbers through 100.
4
 48 = 2 x 2 x 2 x 2 x 3
100 = 2 x 2 x 5 x 5
1.5 Students compare and order fractions with different denominators.
3
 5/12 < 3/5
1.6 Students rewrite fractions as equivalent decimals and percents, and rewrite percents as decimals and fractions in simplest form.
3
 35% = 35/100 = .35
1.7 Students mentally convert fractions with a denominator of two, four, or ten to a percent.
2
 3/4 = 75%
1.8 Students describe and extend numeric patterns that involve addition, subtraction, or multiplication.
2
  
1.9 Students mentally convert improper fractions into mixed numbers and mixed numbers into fractions.
3
  
1.10 Students place integers (positive and negative whole numbers) on a number line. (Draft 2.0, std. 1.6, p. 28)
3
  
2. Students estimate, calculate, and solve problems involving addition, subtraction, multiplication and division of, rational numbers in various forms.    
2.1 Students add, subtract, multiply, and divide rational numbers, and check answers by using the inverse relationship of multiplication for division and addition for subtraction.
4
  
2.2 Students multiply negative rational numbers.
4
  
2.3 Students simplify fractions, multiply simple fractions, and find the multiplicative inverse of a fraction.
4
 3/21 = 1/7 
2/3 x 3/2 = 1
2.4 Students divide a number with 4 or less digits by a two-digit number. (S. p. 68)
4
 1260 / 15
2.5 Students multiply with numbers expressed as decimals through ten thousandths.
4
 2.01 x 9.3
2.6 Students solve two-step problems that involve three or more additions multiplications or subtractions in each step.. (S. pp. 69 & 74)
4
 Here is a price list:
Pencils $ .45 ea.
Books $ 6.25 ea.
Pens $ 13.05 ea.
How much change would be returned if Ann bought one each, and the purchase was paid for with a twenty dollar bill?
2.7 Students divide a number expressed as a decimal through ten thousandths by a single-digit whole number.
3
 31.3524 divided by 9 = 3.4836
2.8 Students know when it is appropriate to estimate, to use a calculator, to use mental math, or to use paper and pencil method.
4
  
2.9 Students add and subtract fractions with unlike denominators and express answers in simplest form using pencil and paper
3
 3/8 + _ = 9/8 = 1 1/8
2.10 Students determine the least common multiple and the greatest common divisor of whole numbers.
3
  
2.11 Students multiply a fraction and a mixed number or whole number and express answer in simplest form.
4
 _ x 8 = 24/4 = 6
2.12 Students multiply a percent times a whole number and round off the answer to the nearest whole number or nearest tenth.
4
 The article stated that 75% of the people voted yes. If 500,000 people voted, how many voted NO?
2.13 Students determine an unknown numerator or denominator in a proportion when the unknown is not a whole number.
4
 4 to 5 is like 9 to h ; What is h? 
Applications include situations in which the denominator of one ratio is the number 1 (e.g., a car goes 60 miles an hour; apples cost 85¢ a pound), as well as ratios in which the denominator is not 1 (e.g., the shipping cost for each 25 pounds is $95).
Measurement and Geometry - Grade 5
13%
  
1. Students estimate, measure, and solve problems that involve length, area volume, and weight using the appropriate metric and customary units.     
1.1 Students add and subtract distance, weight, capacity, and time units with and without regrouping required.
5
 8 hours less 5 hours and 23 minutes 
The construction crew finished working on a fence at 2 p.m. They worked 4 hours and 12 minutes on the fence. What time did they start working?
1.2 Students estimate and find the perimeter and the area of a parallelogram and a triangle and estimate and find the volume of a cube or a rectangular solid and pyramid.
4
  
1.3 Students determine the surface area of a cube and a rectangular solid. 
3
  
2. Students demonstrate understanding of plane and solid geometric objects and their attributes and use this under-standing to show relationships and solve problems.     
2.1 Students identify and construct lines that are parallel, perpendicular, or intersecting.
4
  
2.2 Students measure, identify, describe, and classify angles (acute, right, obtuse) and use appropriate tools to construct angles.
4
  
2.3 Students determine the radius and diameter, perimeter and area of a circle.
3
 If the diameter of a circle is 10 inches, what is its radius? Its circumference? Its area? 
2.4 Students determine the number of degrees in an angle in a diagram, showing complementary or supplementary angles.
4
  
2.5 Students tell the number of degrees in a circle (360°), a straight line (180°), and a right angle (90°), and understand the relationship of a line and right angle to a circle.
2
  
Symbols and Algebra - Grade 5
10%
  
1. Students describe and use variables to express a verbal, numeric, geometric, or graphical relationship, model, and solve algebraic equations in one variable.    
1.1 Students solve one-step linear equations in one variable involving whole number coefficients and solutions.
4
  
1.2 Students apply algebraic symbolism to equations and inequalities.
4
 4 + 3 = X ; What is X?
3 + A = B ; What is B if A is 7? If A is 10?
Functions - Grade 5
5%
  
1. Students represent and interpret quantitative relationship in a table or graph.    
1.1 Students, given a function table of positive x and y values, create a line on a coordinate grid.
4
  
1.2 Students, when shown a line in the upper right hand quadrant on a coordinate grid, create a function table of the line's x and y values.
4
  
Data Analysis - Grade 5
16%
  
1. Students record, analyze, compare, and interpret different data sets, including sets that are not the same size.    
1.1 Students collect, organize, and display a set of single and variable data in appropriate graphs and tables.
4
  
1.2 Students interpret data shown on a circle graph or bar graph.
2
  
1.3 Students determine the mean, median, mode, and range of a set of numbers.
4
 Here are the scores Juan received on his spelling tests: 94,88,79,99,99,100,76,99,60 Mean=?; Range=?; Median=?; Mode=?
1.4 Students express the relationship of members of a set to the whole set by creating ratios and percentages.
3
 Mike received 90 points or more on 15 out of 20 test that he took this year. Write the percents of test on which he scored below 90.
2. Students make predictions for simple probability situations.    
2.1 Students use experimental or real world data to estimate the probability for future events.
4
  
2.2 Students represent the results of probability experiments as ratios, decimals, and percents.
3
  
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