|
Problem Solving
|
Number Sense & Operations
|
|
7.PS.1 Use a variety of strategies to understand new mathematical content and to develop more efficient methods
|
7.N.1 Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, and irrational numbers)
|
|
7.PS.2 Construct appropriate extensions to problem situations
|
7.N.2 Recognize the difference between rational and irrational numbers (e.g., explore different approximations of )
|
|
7.PS.3 Understand and demonstrate how written symbols represent mathematical ideas
|
7.N.3 Place rational and irrational numbers (approximations) on a number line and justify the placement of the numbers
|
|
7.PS.4 Observe patterns and formulate generalizations
|
7.N.4 Develop the laws of exponents for multiplication and division
|
|
7.PS.5 Make conjectures from generalizations
|
7.N.5 Write numbers in scientific notation
|
|
7.PS.6 Representproblem situations verbally, numerically, algebraically, and graphically
|
7.N.6 Translate numbers from scientific notation into standard form
|
|
7.PS.7 Understand that there is no one right way
to solve mathematical problems but that different methods have advantages and disadvantages
|
7.N.7 Compare numbers written in scientific notation
|
|
7.PS.8Understand how to break a complex problem
into simpler parts or use a similar problem type to
solve a problem
|
7.N.8 Find the common factors and greatest common factor of two or more numbers
|
|
7.PS.9Work backwards from a solution
|
7.N.9 Determine multiples and least common multiple of two or more numbers
|
|
7.PS.10 Use proportionality to model problems
|
7.N.10 Determine the prime factorization of a given number and write in exponential form
|
|
7.PS.11 Work in collaboration with others to solve problems
|
7.N.11 Simplify expressions using order of
operations Note: Expressions may include absolute value and/or integral exponents greater than 0.
|
|
7.PS.12 Interpret solutions within the given constraints of a problem
|
7.N.12 Add, subtract, multiply, and divide integers
|
|
7.PS.13 Set expectations and limits for possible solutions
|
7.N.13 Add and subtract two integers (with and without the use of a number line)
|
|
7.PS.14 Determine information required to solve the problem
|
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., 10-2 = .01 = 1/100)
|
|
7.PS.15 Choose methods for obtaining required information
|
7.N.15 Recognize and state the value of the square root of a perfect square (up to 225)
|
|
7.PS.16 Justify solution methods through logical argument
|
7.N.16 Determine the square root of non-perfect squares using a calculator
|
|
7.PS.17 Evaluate the efficiency of different representations of a Problem
|
7.N.17 Classify irrational numbers as non-repeating/non-terminating decimals
|
|
Algebra
7.A.1 Translate two-step verbal expressions into algebraicexpressions
|
7.N.18 Identify the two consecutive whole
numbers between which the square root of a non-perfect square whole number less than 225 lies (with and without the use of a number line)
|
|
7.A.2 Add and subtract monomials with exponents of one
|
7.N.19 Justify the reasonableness of answers using estimation
|
|
7.A.3 Identify a polynomial as an algebraic expression containing one or more terms
|
Geometry
|
|
7.A.4 Solve multi-step equations by combining like
terms, using the distributive property, or moving
variables to one side of the equation
|
7.G.1 Calculate the radius or diameter, given the circumference or area of a circle
|
|
7.A.5 Solve one-step inequalities (positive coefficients only) (See 7.G.10)
|
7.G.2 Calculate the volume of prisms and cylinders, using a givenformula and a calculator
|
|
7.A.6 Evaluate formulas for given input values (surface area, rate, and density problems)
|
7.G.3 Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids)
|
|
7.A.7 Draw the graphic representation of a pattern from an equation or from a table of data
|
7.G.4 Determine the surface area of prisms and cylinders, using a calculator and a variety of methods
|
|
7.A.8 Create algebraic patterns using charts/tables, graphs, equations, and expressions
|
7.G.5 Identify the right angle, hypotenuse, and legs of a right triangle
|
|
7.A.9 Build a pattern to develop a rule for determining the sum of the interior angles of polygons
|
7.G.6 Explore the relationship between the lengths of the three sides of a right triangle to develop the Pythagorean Theorem
|
|
7.A.10 Write an equation to represent a function from a table of values
|
|
|
|
