STANDARDIZED MATH CURRICULUM FRAMEWORK
The student is able to …
Date: ___________ Instructor: _________________  
Standard 34 Solve problems using fractions 

34.1  Understands verbal names, written word names, and standard numbers with fractions 
34.2  Locates fractions on a number line 
34.3  Understands the relative size of fractions 
34.4  Solves word problems that create fractions 
34.5  Adds whole numbers, fractions, and mixed numbers with and without common denominators 
34.6  Subtracts whole numbers, fractions & mixed numbers with no regrouping 
34.7  Subtracts whole numbers, fractions, and mixed numbers with regrouping 
34.8  Multiplies common mixed fractions, mixed numbers, and whole numbers 
34.9  Divides fractions 
34.10  Divides whole numbers, fractions, and mixed numbers 
34.11  Performs multiple operations using common fractions, mixed numbers, and whole numbers 
34.12  Selects the appropriate operation to solve problems with fractions 
34.13  Solves word problems using fractions 
Standard 35 Solve problems using decimals 

35.1  Locates decimals on a number line 
35.2  Orders a sequence of decimal numbers from smallest to largest 
35.3  Multiplies a decimal by a whole number or another decimal 
35.4  Divides a decimal by a whole number 
35.5  Divides a decimal by a decimal 
35.6  Divides a whole number by a decimal 
35.7  Converts mixed numbers to decimal fractions 
35.8  Selects the appropriate operation to solve problems with decimals 
35.9  Solves word problems using decimals 
Standard 36 Solve problems using ratios and proportions 

36.1  Understands verbal names, written word names, and standard numbers with ratios 
36.2  Understands the concept of a ratio and proportion 
36.3  Solves word problems with ratios 
36.4  Understands that ratios can be represented in different ways 
36.5  Selects when to solve specific problems by using ratios and proportions 
36.6  Solves word problems involving ratios and proportions 
36.7  Demonstrates the process of crossmultiplying to solve proportions 
Standard 37 Solve problems using percents 

37.1  Understands verbal names, written word names, and standard numbers with percents 
37.2  Understands the relative size of percents 
37.3  Solves word problems with percents 
37.4  Understands that percents can be represented in different ways 
37.5  Converts between fractions, decimals, and percents 
37.6  Finds a percent of a number 
37.7  Finds what percent one number is of another 
37.8  Finds the total when a percent is given 
37.9  Solves realworld problems involving percents 
37.10  Determines sales tax on a purchase when given the tax rate 
37.11  Uses the interest formula (i = prt) 
Standard 38 Solve problems using integers 

38.1  Associates verbal names, written word names, and standard numbers with integers 
38.2  Solves words problems using integers 
38.3  Locates numbers on a number line 
38.4  Understands the relative size of integers 
38.5  Adds integers 
38.6  Subtracts integers 
38.7  Multiplies integers 
38.8  Divides integers 
38.9  Solves simple problems by applying the algebraic order of operations 
38.10  Selects the appropriate operation to solve specific problems using integers 
38.11  Solves word problems involving integers 
38.12  Finds square of numbers 120 
38.13  Finds square roots of perfect squares 
38.14  Writes algebraic expressions (for example: 2x, 2m – 10) 
38.15  Solves one step equations involving any of the mathematical operations (for example: x + 9 – 27 = 2, x/4 = 3, x – (4) =2) 
38.16  Solves two step equations 
Standard 39 Solve problems using geometry 

39.1  Recognizes & understands the basic properties of two and threedimensional geometric shapes (examples: circle, rectangle, cube, etc.) 
39.2  Recognizes types of angles (acute, obtuse, straight, right, reflex) 
39.3  Recognizes types of triangles (equilateral, right, scalene, isosceles) 
39.4  Knows the number of degrees in a triangle and a quadrilateral 
39.5  Uses appropriate geometric vocabulary to write a description of a figure or a picture composed of geometric figures (parallel, perpendicular, similar, congruent) 
39.6  Uses geometric formulas for perimeter 
39.7  Uses geometric formulas for area 
39.8  Uses geometric formula for circumference 
39.9  Uses geometric formulas for volume of threedimensional shapes including cubes, rectangles, solids, and cylinders 
39.10  Understands geometric concepts, including flips, slides, turns, enlargements, symmetry, reflections, similarity, perpendicular, parallel 
39.11  Predicts and verifies patterns involving tessellation (a covering of a plane with congruent copies of the same pattern with no holes and no overlaps, like floor tiles) 
39.12  Solves word problems using a variety of geometric formulas for two and three dimensional shapes 
Standard 40 Use estimation skills to solve problems 

40.1  Predicts results and to check the reasonableness of data 
40.2  Solves word problems of length, perimeter, area, mass, volume, and capacity 
40.3  Solves word problems of money, time and temperature 
40.4  Uses rounding techniques to estimate the solution to an addition or subtraction measurement word problem; then determines the actual result 
40.5  Uses a variety of strategies to estimate lengths, widths, time intervals, and money to compare to actual measurements 
40.6  Solves word problems by estimating measurements (length, time, weight/mass, temperature, money, perimeter, area & volume) in either U.S. system or in metric units 
Standard 41 Solve problems using measurement 

41.1  Identifies the measurement most appropriate for a given situation 
41.2  Converts within the U.S. system of measures for length, weight, or capacity 
41.3  Solves linear measurement problems with inches, feet, or yards 
41.4  Solves capacity problems with cups, pints, quarts or gallons 
41.5  Solves mass/weight problems with ounces, pounds or tons 
41.6  Identifies metric units of measure for length, weight/mass, or capacity 
41.7  Associates prefixes used in the metric system with their decimal equivalents 
41.8  Converts measures within the metric system from one prefix to another 
41.9  Solves problems involving units of measure and converts answers to a larger or small unit within either the metric or U.S. system 
41.10  Selects and uses appropriate instruments, technology, and techniques to measure quantities in order to achieve specified degrees of accuracy 
Standard 42 Understand and apply theories related to numbers 

42.1  Use of primes, factors, and multiples to build number sequence 
42.12  Distributive property [for example: 6(4 + 2) = 6 x 6] 
42.3  Place values 
42.4  Roman numerals 
Standard 43 Interpret and compare data from graphs, charts and maps 

43.1  Pictographs 
43.2  Graphs 
43.3  Line graphs 
43.4  Circle graphs 
43.5  Uses data from charts and tables to solve word problems 
43.6  Understands and uses mean and median 
43.7  Uses a scale to measure distance on a map 
43.8  Uses information from a time zone map 
43.9  Uses a map showing time zones to determine the time in two or more time zones 
Standard 44 Demonstrate consumer math skills 

44.1  Calculates and compares the unit prices for different sizes of food containers and for different brands using a calculator or pencil and paper 
44.2  Uses the sales tax rate to calculate sales tax and total cost of a purchase 
44.3  Computes discounts and sale prices 
44.4  Interprets interest and interest earning savings plans 
44.5  Uses the percentage down, interest rate, and the total purchase price to calculate the actual amount of down payment and balance to be financed on long term purchases 
44.6  Calculates a finance charge at a give percentage rate 
44.7  Calculates a checkbook balance from a check (use a calculator or paper and pencil) 