muskogee public schools curriculum map, 2010-2011 math, grade 8 · 2015-05-22 · page 1 muskogee...
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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.
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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,
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3
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.
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
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Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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,
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Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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
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6
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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
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Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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
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Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
2nd 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 Equations 1.1a Model, write, and solve multi-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.
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,
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9
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
2nd Nine Weeks
Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will graph and solve linear equations and inequalities in problem-solving situations.
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,
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10
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
2nd Nine Weeks
Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will graph and solve linear equations and inequalities in problem-solving situations.
1.2. Inequalities: Model, write, solve, and graph 1-and 2-step linear inequalities with one variable.
Inequalities, number line, variables, additive inverse, zero pair, reciprocal, constant, coefficients, common factors, integers, solution set, algebraic inequalities
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11
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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
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Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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
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Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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,
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14
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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
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15
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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
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Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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
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Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
2nd 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 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
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18
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
2nd 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.
5.3. 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
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Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
3rd 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 Equations 1.1a Model, write, and solve multi-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.
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,
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20
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
3rd Nine Weeks
Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will graph and solve linear equations and inequalities in problem-solving situations.
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)
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,
Page
21
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
3rd Nine Weeks
Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will graph and solve linear equations and inequalities in problem-solving situations.
1.1d. Apply appropriate formulas to solve problems (e.g., d = rt, I =prt).
1.2. Inequalities: Model, write, solve, and graph 1-and 2-step linear inequalities with one variable.
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
Page
22
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
3rd 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 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
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23
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
3rd Nine Weeks
Standard 2: Number Sense and Operation —The student will use numbers and number relationships to solve problems.
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
Page
24
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
3rd 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 and the length of other line segments.
Pythagorean Theorem, leg, hypotenuse, formula, square root, squared, right triangle, Pythagorean Triple
Page
25
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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,
Page
26
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
3rd Nine Weeks
Standard 4: Measurement—The student will use measurement to solve problems in a variety of contexts. .
4.2. Apply knowledge of ratio and proportion to solve relationships between similar geometric figures.
Similar figures, ratio, proportion, height, base, length, width, depth, scale factor, scale drawings, corresponding sides/angles
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27
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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)
5.1 Data Analysis: Select, analyze, and apply data displays in appropriate formats to draw conclusions.
Composite figure, “region in a region,” area, formulas for areas of polygons/ circles
Data, statistics, analysis, line plots, bar graphs, stem-and- leaf plot, scatter plot, histogram, circle graph, display, box and whisker, frequency table
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28
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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
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 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
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29
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
4th Nine Weeks
Standard 1: Algebraic Reasoning: Patterns and Relationships—The student will graph and solve linear equations and inequalities in problem-solving situations.
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
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,
Inequalities, number line, variables, additive inverse, zero pair, reciprocal, constant, coefficients, common factors, integers, solution set, algebraic inequalities
Page
30
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
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.
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).
Pythagorean Theorem, leg, hypotenuse, formula, square root, squared, right triangle, Pythagorean Triple
Area/perimeter (circumference)formulas, volume, surface area, cubes, centimeter, faces, edges, vertex, length, width, depth, height,
Page
31
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
4th Nine Weeks
Standard 4: Measurement—The student will use measurement to solve problems in a variety of contexts.
4.2. Apply knowledge of ratio and proportion to solve relationships between similar geometric figures.
Similar figures, ratio, proportion, height, base, length, width, depth, scale factor, scale drawings, corresponding sides/angles
Page
32
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
4th Nine Weeks
Standard 4: Measurement—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
Page
33
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
4th 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 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
Page
34
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
4th 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.
5.3. 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
Page
35
Nine-Weeks
Content Area and PASS Muskogee Academic Standards
Academic Skills Expected Strategies, Vocabulary & Assessment
4th 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.
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
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NOTES
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