muskogee public schools curriculum map, 2010-2011 math, grade 8 · 2015-05-22 · page 1 muskogee...

Muskogee Public Schools Curriculum Map, 2010-2011

Math, Grade 8

The Test Blueprint reflects the degree to which each PASS Standard and Objective is represented on the test.

Nine-Weeks

Content Area and PASS Muskogee Academic Standards

Academic Skills Expected Strategies, Vocabulary & Assessment

1st Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will graph and solve linear equations and inequalities in problem-solving situations. .

1.1 1.1 Equations 1.1a Model, write, and solve two-step linear equations using a variety of methods.

1.1b. Graph and interpret the solution to one- and two-step linear equations on a number line with one variable and on a coordinate plane with two variables.

1.1d Apply appropriate formulas to solve problems. (e.g., d=rt, I=prt)

Model, graphs, number lines, coordinate graphs, linear equation, balance scales, integers, common fractions, coefficients, constants, additive inverse, multiply by the reciprocal, slope intercept form Interpret, graphs, number lines, coordinate graphs, linear equation, balance scales, integers, common fractions, coefficients, constants, additive inverse, multiply by the reciprocal, slope intercept form Distance, interest formulas, rate, velocity, time, speed, interest, principle,

Nine-Weeks



1st Nine Weeks

Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will graph and solve linear equations and inequalities in problem-solving situations.

Standard 2: Number Sense and Operations—The student will use numbers and number relationships to solve problems.

1.2. Inequalities: Model, write, solve, and graph 1-and 2-step linear inequalities with one variable.

2.2 Number Operations 2.2a. Use the rules of exponents, including integer exponents to solve problems

Inequalities, number line, variables, additive inverse, zero pair, reciprocal, constant, coefficients, common factors, integers, solution set, algebraic inequalities

Exponents, integers, power, perfect square, real number, irrational number, rational number, square root, scientific notation, base, exponential form

Nine-Weeks



1st Nine Weeks

Standard 2: Number Sense and Operation—The student will use numbers and number relationships to solve problems. Standard 3: Geometry—The student will use geometric properties to solve problems in a variety of contexts.

2.2c. Simplify numerical expressions with rational numbers, exponents, and parentheses using order of operations.

3.1 Construct models, sketch (from different perspectives), and classify solid figures such as rectangular solids, prisms, cones, cylinders, pyramids, and combined forms.

Order of operation, Rational numbers, set of real numbers, integers, positive/negative , fractions, decimals, percent, equivalent, number line, compare, order, common denominator, commutative, associative, distributive, identity, multiplicative properties Geometric solid, perspective, classify, prisms, cones, cylinders, pyramids, combined forms, face, edge, vertex, base, orthogonal views, hexagonal, rectangular, square, triangular, pentagonal, side, top, front, congruent,

Nine-Weeks



1st Nine Weeks

Standard 3: Geometry—The student will use geometric properties to solve problems in a variety of contexts.

3.2 Develop the Pythagorean Theorem and apply the formula to find the length of missing sides of a right triangle, the shortest distance between two points on a graph, and the length of other line segments.

Pythagorean Theorem, leg, hypotenuse, formula, square root, squared, right triangle, Pythagorean Triple

Nine-Weeks



1st Nine Weeks

Standard 4: Measurement--The student will use measurement to solve problems in a variety of contexts.

4.1. Develop and apply formulas to find the surface area and volume of rectangular prisms, triangular prisms, and cylinders (in terms of pi). Review 7th 4.1a/b first 4.1a (7th grade review to scaffold 8th PASS) Develop area and perimeter concepts (e.g., Use grids to estimate the area of irregular shapes.)

4.1b. (7th grade review to scaffold 8th PASS) Apply formulas to solve problems involving perimeter (circumference) and area of polygons and circles.

Area/perimeter formulas, grid, estimate, irregular shapes, polygons, circle Area/perimeter (circumference)formulas, grid, polygons, circle

Nine-Weeks



1st Nine Weeks

Standard 5: Data Analysis and Statistics—The student will use data analysis, probability, and statistics to interpret data in a variety of contexts.

5.1 Data Analysis: Select, analyze, and apply appropriate formats to draw conclusions.

5.2. Probability: Determine how samples are chosen (random, limited, biased) to draw and support conclusions about generalizing a sample to a population (e.g., is the average height of a men’s college basketball team a good representative sample for height predictions?) This is tested at the local level.

Data, statistics, analysis, line plots, bar graphs, stem-and- leaf plot, scatter plot, histogram, circle graph, display, box and whisker, frequency table Recommended Math resources: Math Tools, Grades 3-12, 64 Ways to differentiate Instruction and Increase Student Engagement, by Harvey F. Silver, 2008 (Excellent tool) http://mathforum.org/dr.math http://www.coolmath.com/teachers/index.html http://nlvm.usu.edu http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_8th_eighth_grade.htm http://www.purplemath.com/ http://mypages.iit.edu/~smile Benchmark 1: http://www.sde.state.ok.us/AcctAssess/pdf/Core/Released/Gr8Math04-05.pdf 50 question EOI practice test Also available to create test is the Test and Item Specification document for 8th grade math: http://www.sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr8Math.pdf

http://mathforum.org/dr.math�

http://www.coolmath.com/teachers/index.html�

http://www.coolmath.com/teachers/index.html�

http://nlvm.usu.edu/�

http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_8th_eighth_grade.htm�



http://www.purplemath.com/�

http://mypages.iit.edu/~smile�

http://www.sde.state.ok.us/AcctAssess/pdf/Core/Released/Gr8Math04-05.pdf�


http://www.sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr8Math.pdf�


Nine-Weeks



2nd Nine Weeks


1.1 Equations 1.1a Model, write, and solve multi-step linear equations using a variety of methods.


Graphs, number lines, coordinate graphs, linear equation, balance scales, integers, common fractions, coefficients, constants, additive inverse, multiply by the reciprocal, Graph, number line, coordinate graph, x-/y- intercept, standard form, slope intercept form, variable, positive/negative slope, linear equation, x/ y axis,

Nine-Weeks



2nd Nine Weeks


1.1c. Predict the effect on the graph of a linear equation when the slope or the y-intercept changes (e.g. Make predictions from graphs, identify the slope or y-intercept in the equation y= mx + b and relate to a graph).

1.1d. Apply appropriate formulas to solve problems (e.g., d = rt, I =prt).

Predict, linear equation, zero property of multiplication, slope, Graph, coordinate graph, x-/y- intercept, standard form, slope intercept form, variable, positive/negative slope, linear equation, x/ y axis,

Distance, interest formulas, rate, velocity, time, speed, interest, principle,

Nine-Weeks



2nd Nine Weeks




Nine-Weeks



2nd Nine Weeks

Standard 2: Number Sense and Operation —The student will use numbers and number relationships to solve problems.

2.1. Number Sense: Represent and interpret large numbers and numbers less than one in exponential and scientific notation.

2.2 Number Operations 2.2a. Use the rules of exponents, including integer exponents to solve problems

Exponents, integers, power, perfect square, real number, irrational number, rational number, square root, scientific notation, base, exponential form Exponents, integers, power, perfect square, real number, irrational number, rational number, square root, scientific notation, base, exponential form

Nine-Weeks



2nd Nine Weeks

Standard 2: Number Sense and Operation—The student will use numbers and number relationships to solve problems.

2.2b. Solve problems using scientific notation. New skill

Scientific notation, base ten, exponents, standard notation

Nine-Weeks



2nd Nine Weeks

Standard 2: Number Sense and Operation —The student will use numbers and number relationships to solve problems. Standard 3: Geometry—The student will use geometric properties to solve problems in a variety of contexts.

2.2c. Simplify numerical expressions with rational numbers, exponents, and parentheses using order of operations.

3.1 Construct models, sketch (from different perspectives), and classify solid figures such as rectangular solids, prisms, cones, cylinders, pyramids, and combined forms.

Order of operation, Rational numbers, set of real numbers, integers, positive/negative , fractions, decimals, percent, equivalent, number line, compare, order, common denominator, commutative, associative, distributive, identity, multiplicative properties Geometric solid, perspective, classify, prisms, cones, cylinders, pyramids, combined forms, face, edge, vertex, base, orthogonal views, hexagonal, rectangular, square, triangular, pentagonal, side, top, front, congruent,

Nine-Weeks



2nd Nine Weeks

Standard 3: Geometry—The student will use geometric properties to solve problems in a variety of contexts. Standard 4: Measurement--The student will use measurement to solve problems in a variety of contexts.

3.2 Develop the Pythagorean Theorem and apply the formula to find the length of missing sides of a right triangle and the length of other line segments.

4.1 Develop and apply formulas to find the surface area and volume of rectangular prisms, triangular prisms, and cylinders (in terms of pi). Build toward this skill 4.1a (7th grade review to scaffold 8th PASS) Develop area and perimeter concepts (e.g., Use grids to estimate the area of irregular shapes.)

Pythagorean Theorem, leg, hypotenuse, formula, square root, squared, right triangle, Pythagorean Triple Area/perimeter formulas, grid, estimate, irregular shapes, polygons, circle

Nine-Weeks



2nd Nine Weeks

Standard 4: Measurement--The student will use measurement to solve problems in a variety of contexts.

4.1b (7th grade review to scaffold 8th PASS) Apply formulas to solve problems involving perimeter (circumference) and area of polygons and circles.

4.2. Apply knowledge of ratio and proportion to solve relationships between similar geometric figures.

Area/perimeter formulas, grid, estimate, irregular shapes, polygons, circle

Similar figures, ratio, proportion, height, base, length, width, depth, scale factor, scale drawings, corresponding sides/angles

Nine-Weeks



2nd Nine Weeks

Standard 4: the student will use measurement to solve problems in a variety of contexts.

4.3. Find the area of a “region of a region” for simple composite figures (e.g., area of a rectangular picture frame.

Composite figure, “region in a region,” area, formulas for areas of polygons/ circles

Nine-Weeks



2nd Nine Weeks


5.1 Data Analysis: Select, analyze, and apply data displays in appropriate formats to draw conclusions.

Data, statistics, analysis, line plots, bar graphs, stem-and- leaf plot, scatter plot, histogram, circle graph, display, box and whisker, frequency table, mean, median, mode, average

Nine-Weeks



2nd Nine Weeks


5.3. Central Tendency: Find the measure of central tendency (mean, median, and mode) of a set of data and understand why a specific measure provides the most useful information in a given context.

Central tendency, mean, median, mode, range, weighted average, box-whisker plot, probability of distribution, expected value, variance, standard deviation, outlier, first/ third quartile Benchmark 2: http://www.sde.state.ok.us/AcctAssess/pdf/Core/Released/Gr8Math04-05.pdf 50 question practice test Also available to create test is the Test and Item Specification document for 8th grade Math: http://www.sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr8Math.pdf





Nine-Weeks



3rd Nine Weeks


1.1 Equations 1.1a Model, write, and solve multi-step linear equations using a variety of methods.


Graphs, number lines, coordinate graphs, linear equation, balance scales, integers, common fractions, coefficients, constants, additive inverse, multiply by the reciprocal,

Graph, number line, coordinate graph, x-/y- intercept, standard form, slope intercept form, variable, positive/negative slope, slope intercept form, linear equation, x/ y axis,

Nine-Weeks



3rd Nine Weeks


1.1c. Predict the effect on the graph of a inear equation when the slope or the y-intercept changes (e.g., make predictions from graphs, indentify the slope or y-interecpt in the equation y+mx = b and relate to a graph)


Nine-Weeks



3rd Nine Weeks


1.1d. Apply appropriate formulas to solve problems (e.g., d = rt, I =prt).


Distance, interest formulas, rate, velocity, time, speed, interest, principle, Inequalities, number line, variables, additive inverse, zero pair, reciprocal, constant, coefficients, common factors, integers, solution set, algebraic inequalities

Nine-Weeks



3rd Nine Weeks


.

2.1. Number Sense: Represent and interpret large numbers and numbers less than one in exponential and scientific notation.

2.2 Number Operation 2.2b. Solve problems using scientific notation. New Skill!

Exponents, integers, power, perfect square, real number, irrational number, rational number, square root, scientific notation, base, exponential form

Scientific notation, exponents, base ten, standard form

Nine-Weeks



3rd Nine Weeks


2.2c Simplify numerical expressions with rational numbers, exponents, and parentheses using order of operations..

Order of operation, parentheses, Rational numbers, set of real numbers, integers, positive/negative , fractions, decimals, percent, equivalent, number line, compare, order, common denominator, commutative, associative, distributive, identity, multiplicative properties, Exponents, integers, power, scientific notation, base, exponential form

Nine-Weeks



3rd Nine Weeks

Standard 3: Geometry—The student will use geometric properties to solve problems in a variety of contexts.



Nine-Weeks



3rd Nine Weeks

Standard 4: Measurement—The student will use measurement to solve problems in a variety of contexts.

4.1 Develop and apply formulas to find the surface area and volume of rectangular prisms, triangular prisms, and cylinders (in terms of pi).

Area/perimeter (circumference)formulas, volume, surface area, cubes, centimeter, faces, edges, vertex, length, width, depth, height,

Nine-Weeks



3rd Nine Weeks

Standard 4: Measurement—The student will use measurement to solve problems in a variety of contexts. .



Nine-Weeks



3rd Nine Weeks

Standard 4: Measurement—The student will use measurement to solve problems in a variety of contexts. Standard 5: Data Analysis and Statistics—The student will use data analysis, probability, and statistics to interpret data in a variety of contexts.

4.3. Find the area of” a region of a region” for simple composite figures (e.g. area of a rectangular picture frame)



Data, statistics, analysis, line plots, bar graphs, stem-and- leaf plot, scatter plot, histogram, circle graph, display, box and whisker, frequency table

Nine-Weeks



3rd Nine Weeks

Standard 5: Data Analysis and Statistics—The student will use data analysis , probability, and statistics to interpret data in a variety of contexts


Central tendency, mean, median, mode, range, weighted average, box-whisker plot, probability of distribution, expected value, variance, standard deviation, outlier, first/ third quartile

Benchmark 3: http://www.sde.state.ok.us/AcctAssess/pdf/Core/Released/Gr8Math04-05.pdf 50 question practice test Also available to create test is the Test and Item Specification document for 8th grade Math: http://www.sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr8Math.pdf





Nine-Weeks



4th Nine Weeks


1.1c. Predict the effect on the graph of a inear equation when the slope or the y-intercept changes (e.g., make predictions from graphs, indentify the slope or y-interecpt in the equation y+mx = b and relate to a graph).

1.2. Inequalities: Model, write, solve, and graph one-and two-step linear inequalities with one variable



Nine-Weeks



4th Nine Weeks

Standard 3: Geometry—The student will use geometric properties to solve problems in a variety of contexts. Standard 4: Measurement—The student will use measurement to solve problems in a variety of contexts.


4.1 Develop and apply formulas to find the surface area and volume of rectangular prisms, triangular prisms, and cylinders (in terms of pi).


Area/perimeter (circumference)formulas, volume, surface area, cubes, centimeter, faces, edges, vertex, length, width, depth, height,

Nine-Weeks



4th Nine Weeks




Nine-Weeks



4th Nine Weeks


4.3. Find the area of” a region of a region” for simple composite figures (e.g. area of a rectangular picture frame)


Nine-Weeks



4th Nine Weeks



Data, statistics, analysis, line plots, bar graphs, stem-and- leaf plot, scatter plot, histogram, circle graph, display, box and whisker, frequency table

Nine-Weeks



4th Nine Weeks



Central tendency, mean, median, mode, range, weighted average, box-whisker plot, probability of distribution, expected value, variance, standard deviation, outlier, first/ third quartile

Nine-Weeks



4th Nine Weeks


http://www.sde.state.ok.us/AcctAssess/pdf/Core/Released/Gr8Math04-05.pdf 50 question practice test Also available to create test is the Test and Item Specification document for 8th grade Math: http://www.sde.state.ok.us/AcctAssess/pdf/Core/Comb/Gr8Math.pdf Also available are EOC released tests from other state including but not limited to: Virginia: http://www.doe.virginia.gov/testing/sol/released_tests/2008/released_tests2008.shtml North Carolina: http://www.ncpublicschools.org/accountability/testing/releasedforms California: http://www.cde.ca.gov/ta/tg/sr/css05rtq.asp Great Resource for numerous state released test items: http://www.internet4classrooms.com/assessment_assistance/state_standards_tests_to_print_8th_eighth_grade.htm





http://www.doe.virginia.gov/testing/sol/released_tests/2008/released_tests2008.shtml�

http://www.doe.virginia.gov/testing/sol/released_tests/2008/released_tests2008.shtml�

http://www.ncpublicschools.org/accountability/testing/releasedforms�

http://www.ncpublicschools.org/accountability/testing/releasedforms�

http://www.cde.ca.gov/ta/tg/sr/css05rtq.asp�

http://www.cde.ca.gov/ta/tg/sr/css05rtq.asp�




muskogee public schools curriculum map, 2010-2011 math, grade 8 · 2015-05-22 · page 1 muskogee...

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