CONTENT STRANDS 
Number Sense and Operations Strand 
Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number
systems. 
Number Systems 
7.N.1  Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers,
rational numbers, and irrational numbers) 
7.N.2  Recognize the difference between rational and irrational numbers (e.g., explore different approximations of 
7.N.3  Place rational and irrational numbers (approximations) on a number line and justify the placement of them 
7.N.4  Develop the laws of exponents for multiplication and division 
7.N.5  Write numbers in scientific notation 
7.N.6  Translate numbers from scientific notation into standard form 
7.N.7  Compare numbers written in scientific notation 

Number Theory 
7.N.8  Find the common factors and greatest common factor of two or more numbers 
7.N.9  Determine multiples and least common multiple of two or more numbers 
7.N.10  Determine the prime factorization of a given number and write in exponential form 

Students will understand meanings of operations and procedures, and how they relate to one another. 
Operations 
7.N.11  Simplify expressions using order of operations (Note: Expressions may include absolute value and/or
integral exponents greater than 0.) 
7.N.12  Add, subtract, multiply, and divide integers 
7.N.13  Add and subtract two integers (with and without the use of a number line) 
7.N.14  Develop a conceptual understanding of negative and zero exponents with a base of ten and relate to
fractions and decimals (e.g., 102 = .01 = 1/100) 
7.N.15  Recognize and state the value of the square root of a perfect square (up to 225) 
7.N.16  Determine the square root of nonperfect squares using a calculator 
7.N.17  Classify irrational numbers as nonrepeating/nonterminating decimals 

Students will compute accurately and make reasonable estimates. 
Estimation 
7.N.18  Identify the two consecutive whole numbers between which the square root of a nonperfect square whole
number less than 225 lies (with and without the use of a number line) 
7.N.19  Justify the reasonableness of answers using estimation 


Algebra Strand 
Students will represent and analyze algebraically a wide variety of problem solving situations. 
Variables and Expressions 
7.A.1  Translate twostep verbal expressions into algebraic expressions 
Students will perform algebraic procedures accurately. 
Variables and Expressions 
7.A.2  Add and subtract monomials with exponents of one 
7.A.3  Identify a polynomial as an algebraic expression containing one or more terms 

Students will perform algebraic procedures accurately. 
Equations and Inequalities 
7.A.4  Solve multistep equations by combining like terms, using the distributive property, or moving variables to
one side of the equation 
7.A.5  Solve onestep inequalities (positive coefficients only) 
7.A.6  Evaluate formulas for given input values (surface area, rate, and density problems) 

Students will recognize, use, and represent algebraically patterns, relations, and functions. 
Patterns, Relations, and Functions 
7.A.7  Draw the graphic representation of a pattern from an equation or from a table of data 
7.A.8  Create algebraic patterns using charts/tables, graphs, equations, and expressions

7.A.9  Build a pattern to develop a rule for determining the sum of the interior angles of polygons 
7.A.10  Write an equation to represent a function from a table of values 
Geometry Strand 
Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric
shapes. 
Shapes 
7.G.1  Calculate the radius or diameter, given the circumference or area of a circle 
7.G.2  Calculate the volume of prisms and cylinders, using a given formula and a calculator 
7.G.3  Identify the twodimensional shapes that make up the faces and bases of threedimensional shapes (prisms,
cylinders, cones, and pyramids) 
7.G.4  Determine the surface area of prisms and cylinders, using a calculator and a variety of methods 

Students will identify and justify geometric relationships, formally and informally. 
Geometric Relationships 
7.G.5  Identify the right angle, hypotenuse, and legs of a right triangle 
7.G.6  Explore the relationship between the lengths of the three sides of a right triangle to develop the
Pythagorean Theorem 
7.G.7  Find a missing angle when given angles of a quadrilateral 
7.G.8  Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle 
7.G.9  Determine whether a given triangle is a right triangle by applying the Pythagorean Theorem and using a
calculator 

Students will apply coordinate geometry to analyze problem solving situations. 
Coordinate Geometry 
7.G.10  Graph the solution set of an inequality (positive coefficients only) on a number line 
Measurement Strand 
Students will determine what can be measured and how, using appropriate methods and formulas. 
Units of Measurement 
7.M.1  Calculate distance using a map scale 
7.M.2  Convert capacities and volumes within a given system 
7.M.3  Identify customary and metric units of mass 
7.M.4  Convert mass within a given system 
7.M.5  Calculate unit price using proportions 
7.M.6  Compare unit prices 
7.M.7  Convert money between different currencies with the use of an exchange rate table and a calculator 
7.M.8  Draw central angles in a given circle using a protractor (circle graphs) 

Tools and Methods 
7.M.9  Determine the tool and technique to measure with an appropriate level of precision: mass 

Students will develop strategies for estimating measurements. 
Estimation 
7.M.10  Identify the relationships between relative error and magnitude when dealing with large numbers (e.g.,
money, population) 
7.M.11  Estimate surface area 
7.M.12  Determine personal references for customary /metric units of mass 
7.M.13  Justify the reasonableness of the mass of an object 
Statistics and Probability Strand 
Students will collect, organize, display, and analyze data. 
Collection of Data 
7.S.1  Identify and collect data using a variety of methods 
Organization and Display of Data 
7.S.2  Display data in a circle graph 
7.S.3  Convert raw data into double bar graphs and double line graphs 

Analysis of Data 
7.S.4  Calculate the range for a given set of data 
7.S.5  Select the appropriate measure of central tendency 
7.S.6  Read and interpret data represented graphically (pictograph, bar graph, histogram, line graph,
double line/bar graphs or circle graph) 

Students will make predictions that are based upon data analysis. 
Predictions from Data 
7.S.7  Identify and explain misleading statistics and graphs 

Students will understand and apply concepts of probability. 
Probability 
7.S.8  Interpret data to provide the basis for predictions and to establish experimental probabilities 
7.S.9  Determine the validity of sampling methods to predict outcomes 
7.S.10  Predict the outcome of an experiment 
7.S.11  Design and conduct an experiment to test predictions 
7.S.12  Compare actual results to predicted results 