7th Grade MATHEMATICS Curriculum Map

           

 

Month          PASS Standard        Content                                            Resources

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August             Review                      Maintenance Concepts                             

                                                                     (Multiplication, Division, Fractions, Decimals,               Handouts

                                                                     Order of Operations, etc…)                                                       STI Assessments

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September       1.0 Algebraic Reasoning – The student will use number properties to simplify and solve simple

                                                               linear equations.

 

                                         1.1 Properties                                            

                                                                     Identify and apply the commutative, associative,         Ch. 1 “Are You Ready?”

                                                                     distributive, inverse, and identity properties.               Handouts            

                                                                     (Ex: 4+5=5+4, 2(x+3)=2x+6, n+0=n)

 

                                         1.2 Linear Equations

                                                                     Use a variety of methods to model and solve              Ch. 1 (1.1-1.8)

                                                                     one-step linear equations.

                                                                     (Ex: properties of equality, graph ordered pairs)

                                                      

 

October           (Continue 1.0)

 

 

                            2.0 Number Sense – The student will use numbers and number relationships to acquire basic facts

                                                      and determine the reasonableness of results.

 

                                         2.1 Integers

                                                                     a.  Compare and contrast positive and negative          Handouts

                                                                     integers and describe their use in real-life situations.

                                                                     (Ex: temperature, sea level, stock market

                                                                     fluctuations, football yardage)

 

                                                                     b.  Use the basic operations on integers to                  Ch. 2 (2.1-2.4)

                                                                     solve problems

 

 

November                   2.2 Ratio, Proportion, and Percents

                                                                     a.  Demonstrate the concept of ratio and                    Handouts

                                                                     proportion with models.

                                                                     (Ex: similar geometric shapes, scale models)

 

                                                                     b.  Set up equivalent ratios, estimate and solve           Ch. 7 (7.1-7.4)

                                                                     problems using ratio, proportions, and percents         Ch. 8 (8.1-8.3)

                                                                     including percents > 100 and < 1.

                                                                     (Ex: determine missing sides of similar figures,

                                                                     heart rate per minute, cost per pound, pay to

                                                                     hours worked overtime)

 

                                                                     c.  Solve percent application problems.                        Ch. 8 (8.6-8.7)

                                                                     (Ex: discounts, tax, finding the missing value

                                                                     of percent/part/whole)

December                   2.3 Exponents

                                                                     a.  Analyze and develop generalizations of                   Ch. 2 (2.6)

                                                                     exponential patterns, including zero as an

                                                                     exponent, using manipulative and calculators.

                                                                     (Ex: model getting paid a penny the first day,

                                                                     2 cents the 2nd day, 4 cents the 3rd day, …)

 

                                                                     b.  Build and recognize models of multiples to             Ch. 3 (3.8-3.9)

                                                                     investigate squares and square roots.

                                                                     (Ex: build rectangular arrays for numbers 1 to 100

                                                                     and note which can be represented as squares)

 

                                                                     c.  Estimate the square root of a number.                                “     “

                                                                     (Ex: between two consecutive integers)

 

                            ***** Review for Semester Tests *****

 

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January            3.0 Geometry – The student will apply the properties and relationships of plane geometry in a variety

                                            of contexts.

                                

3.1 Classifying Geometric Figures

                            a.  Classify triangles according to their sides                Ch. 5 (5.1-5.7)

                            and angles.

 

                            b.  Classify quadrilaterals according to their                               “     “

                            sides and angles.

                            (Ex: determine whether all squares are rectangles)

 

                                         3.2 Angles

                                                                     Identify and compare bisectors, interior, exterior,                     “     “

                                                                     and vertical angles.

                                                                     (Ex: using graph paper, software, protractors to

                                                                     measure angles between parallel lines with a transversal)

 

                                         3.3 Rectangular Coordinate System

                                                                     a.  Locate points on a plane in all four quadrants.                     “     “

             

                                                                     b.  Identify geometric transformation of figures.                       “     “

                                                                     (Ex: rotations, translations, and reflections)

 

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February          4.0 Measurement – The student will use measurement to solve problems in a variety of contexts.

 

                                         4.1 Area and Perimeter

                                                                     a.  Develop area and perimeter concepts.                    Ch. 6 (6.1-6.4)

                                                                     (Ex: use grids to estimate the area of irregular shapes)

 

                                                                     b.  Apply formulas to solve problems involving perimeter          “     “

                                                                     (circumference) and area of polygons and circles.

 

                                         4.2 Customary and Metric Measurements

                                                                     a.  Select and use appropriate tools for measure-        Handouts

                                                                     ments in practical applications and make reasonable

                                                                     estimates of measurements in a particular situation

                                                                     using the appropriate unit.

                                                                     b.  Use estimates to relate customary and metric         Handouts

                                                                     measurements to each other.

 

                      5.0 Data Analysis and Probability – The student will use probability to formulate and justify

                                                                             predictions from a set of data.

                           

                                         5.1 Outcomes/Simple Probability

                                                                     Use data from a sample to predict possible outcomes  Ch. 1 (1.9)

                                                                     and compute simple probabilities as fractions,             Ch. 4 (4.1-4-5)

                                                                     decimals, or percents.                                                 Ch. 9 (9.1)

 

                                         5.2 Probability with “Or”, “And”, or “Not”

                                                                     Determine the probability of an event involving          Ch. 9 (9.2-9.5, 9.7)

                                                                     “or”, “and”, or “not”.

                                                                     (Ex: on a spinner with 1 blue, 2 red and 2 yellow

                                                                     sections, what is the probability of getting a red?

                                                                     or a yellow?)

 

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March                         5.3 Combinations and Permutations

                                                                     Find all possible combinations and permutations         Ch. 9 (9.6)

                                                                     involving a limited number of variables.

 

                            ***** Review for CRT *****                                                      Textbook Sample CRT

                                                                                                                                                       Review Booklets

                                                                                                                         STI Assessments

 

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April                ***** Review for CRT *****                                                                                  “     “

 

April 10 (?)       ***** CRT *****

 

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May                Review Geometry

                      Introduce Slopes