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TRANSCRIPT
A Correlation of
©2015
to the
Nebraska Mathematics Standards
Grades 6-8
Introduction
This document demonstrates how digits meet the Nebraska Mathematics Standards, Grades 6-8. Correlation references are to the Topics and Lessons of the program. Pearson’s digits middle grades core mathematics curriculum was developed in direct response to teachers and schools seeking a data-driven instructional model that surpasses conventional curricula and engages today’s digitally minded students. Supported by a wealth of recent research validating the benefits of personalized instruction, the authors of digits have created a compelling program that simplifies tasks for the teacher, optimizes class time, and personalizes student learning. The entirely digital, interactive math program delivers:
Alignment to the Common Core Standards Increased instruction time with Readiness Assessments and
autoscored homework Personalized coursework, study plans, and homework for students Optimized use of interactive whiteboard technology
Program Highlights
Yearlong curriculum drives dynamic instructional environment 15 or more topics per grade level Six or more lessons per topic Additional Readiness lessons, intervention lessons, reviews, and
Readiness Assessments. Visual presentations delivered via interactive whiteboards and
classroom projectors promote collaborative learning Content-rich daily lessons include three parts: launch, dynamic
examples, and close and check, for comprehensive instructional support and student engagement
Web-based, anytime-anywhere access to instruction and feedback extend learning at home
Ongoing progress monitoring supports curriculum assessment needs and Response to Intervention requirements video tutors, and manages homework
Autoscored homework, data-driven reports, and best practice plans for a school-to-home-to-school connection which streamlines teacher preparation
This document demonstrates the high degree of success students will achieve by using Pearson’s digits.
A Correlation of digits, ©2015 to the Nebraska Mathematics Standards
Copyright ©2014 Pearson Education, Inc. or its affiliate(s). All rights reserved
Table of Contents
Grade 6 ................................................................................................ 1 Grade 7 ................................................................................................ 7 Grade 8 .............................................................................................. 13
A Correlation of digits, ©2015 to the Nebraska Mathematics Standards
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Nebraska 6th Grade Mathematics Standards
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Grade 6 NUMBER SYSTEM MA 6.1.1 Number System: Students will represent and show relationships among positive rational numbers and integers. Indicator MA 6.1.1.b Compare and order positive and negative integers
digits Grade 6 Unit C: Lesson 8-1: Integers and the Number Line; Lesson 8-2: Comparing and Ordering Integers
Indicator MA 6.1.1.d Represent large numbers using exponential notation MASTERY NOT EXPECTED
digits Grade 6 Unit A: Lesson 1-5: Expressions with Exponents; Lesson 1-6: Problem Solving
Indicator MA 6.1.1.e Identify the prime factorization of numbers
digits Grade 6 Unit A: Lesson 2-4: Greatest Common Factor; Lesson 2-6: Least Common Multiple
MA 6.1.2 Operations: Students demonstrate the meaning of arithmetic operations with positive fractions and decimals. Indicator MA 6.1.2.a Use drawings, words, and symbols to explain the meaning of addition and subtraction of fractions
digits Grade 6 Intervention Lessons: Lesson i10-1: Adding Fractions with Like Denominators; Lesson i10-2: Subtracting Fractions with Like Denominators; Lesson i10-3: Adding Fractions with Unlike Denominators; Lesson i10-4: Subtracting with Unlike Denominators
Indicator MA 6.1.2.b Use drawings, words, and symbols to explain the meaning of addition and subtraction of decimals
digits Grade 6 Unit C: Lesson 7-1: Adding and Subtracting Decimals; Lesson 7-7: Problem Solving
MA 6.1.3 Computation: Students will compute fluently and accurately using appropriate strategies and tools. Indicator MA 6.1.3.a Multiply and divide positive rational numbers
digits Grade 6 Unit B: Lesson 5-1: Multiplying Fractions and Whole Numbers; Lesson 5-2: Multiplying Two Fractions; Lesson 5-3: Multiplying Fractions and Mixed Numbers; Lesson 5-4: Multiplying Mixed Numbers; Lesson 5-5: Problem Solving Unit C: Lesson 6-1: Dividing Fractions and Whole Numbers; Lesson 6-2: Dividing Unit Fractions by Unit Fractions; Lesson 6-3: Dividing Fractions by Fractions; Lesson 6-4: Dividing Mixed Numbers; Lesson 6-5: Problem Solving; Lesson 7-2: Multiplying Decimals; Lesson 7-3: Dividing Multi-Digit Numbers; Lesson 7-4: Dividing Decimals; Lesson 7-7: Problem Solving
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Indicator MA 6.1.3.b Select and apply the appropriate method of computation when problem solving
digits Grade 6 Unit A: Lesson 1-1: Numerical Expressions; Lesson 1-6: Problem Solving Unit B: Lesson 5-1: Multiplying Fractions and Whole Numbers; Lesson 5-2: Multiplying Two Fractions; Lesson 5-3: Multiplying Fractions and Mixed Numbers; Lesson 5-4: Multiplying Mixed Numbers; Lesson 5-5: Problem Solving Unit C: Lesson 6-1: Dividing Fractions and Whole Numbers; Lesson 6-2: Dividing Unit Fractions by Unit Fractions; Lesson 6-3: Dividing Fractions by Fractions; Lesson 6-4: Dividing Mixed Numbers; Lesson 6-5: Problem Solving; Lesson 7-1: Adding and Subtracting Decimals; Lesson 7-2: Multiplying Decimals; Lesson 7-3: Dividing Multi-Digit Numbers; Lesson 7-4: Dividing Decimals; Lesson 7-7: Problem Solving Unit D: Lesson 12-4: Using Percents; Lesson 12-5: Problem Solving
MA 6.1.4 Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools. Indicator MA 6.1.4.a Use appropriate estimation methods to check the reasonableness of solutions for problems involving positive rational numbers
digits Grade 6 Intervention Lessons: Lesson i2-5: Estimating Products; Lesson i3-3: Using Patterns to Multiply and Estimate; Lesson i4-2: Estimating Quotients with 1-Digit Divisors; Lesson i5-2: Estimating Quotients with 2-Digit Divisors; Lesson i7-1: Estimating Sums and Differences of Decimals; Lesson i8-4: Estimating Decimal Products and Quotients; Lesson i16-2: Estimating Percent
GEOMETRIC/MEASUREMENT CONCEPTS MA 6.2.2 Coordinate Geometry: Students will identify locations using coordinate geometry. Indicator MA 6.2.2.a Identify the ordered pair of plotted point in the coordinate plane
digits Grade 6 Unit C: Lesson 8-4: Integers and the Coordinate Plane; Lesson 8-5: Distance; Lesson 8-6: Problem Solving; Lesson 9-4: Rational Numbers and the Coordinate Plane; Lesson 9-5: Polygons in the Coordinate Plane; Lesson 9-6: Problem Solving
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MA 6.2.4 Spatial Modeling: Students will use visualization of geometric models to solve problems. Indicator MA 6.2.4.a Identify two-dimensional drawings of three-dimensional objects
digits Grade 6 Unit E: Lesson 14-1: Analyzing Three-Dimensional Figures; Lesson 14-2: Nets; Lesson 14-3: Surface Areas of Prisms; Lesson 14-4: Surface Areas of Pyramids; Lesson 14-5: Volumes of Rectangular Prisms; Lesson 14-6: Problem Solving
MA 6.2.5 Measurement: Student will apply appropriate procedures, tools, and formulas and determine measurements. Indicator MA 6.2.5.d Determine the perimeter of polygons
digits Grade 6 Unit C: Lesson 9-5: Polygons in the Coordinate Plane
Indicator MA6.2.5.e Determine the area of parallelograms and triangles
digits Grade 6 Unit E: 13-2: Right Triangles; 13-3: Parallelograms; 13-4: Other Triangles; 13-5: Polygons; 13-6: Problem Solving
Indicator MA 6.2.5.f Determine the volume of rectangular prisms MASTERY NOT EXPECTED
digits Grade 6 Unit E: Lesson 14-1: Analyzing Three-Dimensional Figures; 14-5: Volumes of Rectangular Prisms; 14-6 Problem Solving
ALGEBRAIC CONCEPTS MA 6.3.1 Relationships: Students will represent, analyze, and use relationships to make generalizations. Indicator MA 6.3.1.a Describe and create simple algebraic expressions from words and tables
digits Grade 6 Unit A: Lesson 1-2: Algebraic Expressions; Lesson 1-3: Writing Algebraic Expressions; Lesson 1-4: Evaluating Algebraic Expressions; Lesson 1-5: Expression with Exponents; Lesson 1-6: Problem Solving
Indicator MA 6.3.1.b Use a variable to describe a situation with an equation
digits Grade 6 Unit A: Lesson 3-1: Expressions to Equations; Lesson 3-2: Balancing Equations; Lesson 3-3: Solving Addition and Subtraction Equations; Lesson 3-4: Solving Multiplication and Division Equations; Lesson 3-5: Equations to Inequalities; Lesson 3-6: Solving Inequalities; Lesson 3-7: Problem Solving; Lesson 4-1: Using Two Variables to Represent a Relationship; Lesson 4-2: Analyzing Patterns Using Tables and Graphs; Lesson 4-3: Relating Tables and Graphs to Equations; Lesson 4-4: Problem Solving
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MA 6.3.2 Modeling in Context: Students will create, use, and interpret models of quantitative relationships. Indicator MA 6.3.2.a Model contextualized problems using various representations
digits Grade 6 Unit A: Lesson 1-6: Problem Solving; Lesson 2-7: Problem Solving; Lesson 3-1: Expressions to Equations; Lesson 3-2: Balancing Equations; Lesson 3-7: Problem Solving; Lesson 4-1: Using Two Variables to Represent a Relationship Unit D: Lesson 10-1: Ratios; Lesson 10-2: Exploring Equivalent Ratios; Lesson 10-3: Equivalent Ratios; Lesson 11-1: Unit Rates; Lesson 11-2: Unit Prices; Lesson 11-3: Constant Speed; Lesson 11-4: Measurements and Ratios; Lesson 11-5: Choosing the Appropriate Rate; Lesson 11-6: Problem Solving Unit F: Lesson 15-5: Choosing an Appropriate Display; Lesson 15-6: Problem Solving
MA 6.3.3 Procedures: Students will apply properties to solve equations. Indicator MA 6.3.3.b Evaluate numerical expressions containing multiple operations with respect to order of operations
digits Grade 6 Unit A: Lesson 1-1: Numerical Expressions; Lesson 1-6: Problem Solving
Indicator MA 6.3.3.c Evaluate simple algebraic expressions involving multiplication and division
digits Grade 6 Unit A: Lesson 1-2: Algebraic Expressions; Lesson 1-4: Evaluating Algebraic Expressions; Lesson 1-6: Problem Solving
Indicator MA 6.3.3.d Solve one-step equations involving positive rational numbers
digits Grade 6 Unit A: Lesson 3-2: Balancing Equations; Lesson 3-3: Solving Addition and Subtraction Equations; Lesson 3-4: Solving Multiplication and Division Equations; Lesson 3-7: Problem Solving
Indicator MA 6.3.3.e Identify and explain the properties of equality used in solving equations
digits Grade 6 Unit A: Lesson 2-1: The Identity and Zero Properties; Lesson 2-2: The Commutative Properties; Lesson 2-3: The Associative Properties; Lesson 2-5: The Distributive Property; Lesson 2-7: Problem Solving; Lesson 3-2: Balancing Equations; Lesson 3-3: Solving Addition and Subtraction Equations; Lesson 3-4: Solving Multiplication and Division Equations; Lesson 3-7: Problem Solving
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DATA ANALYSIS/PROBABILITY CONCEPTS MA 6.4.1 Display and Analysis: Students will organize, display, compare, and interpret data. Indicator MA 6.4.1.b Compare and interpret data sets and their graphical representations
digits Grade 6 Unit F: Lesson 15-1: Statistical Questions; Lesson 15-2: Dot Plots; Lesson 15-3: Histograms; Lesson 15-4: Box Plots; Lesson 15-5: Choosing an Appropriate Display; Lesson 15-6: Problem Solving; Lesson 16-1: Median; Lesson 16-2: Mean; Lesson 16-3: Variability; Lesson 16-4: Interquartile Range; Lesson 16-5: Mean Absolute Deviation; Lesson 16-6: Problem Solving
Indicator MA 6.4.1.c Find the mean, median, mode and range for a set of data
digits Grade 6 Unit F: Lesson 16-1: Median; Lesson 16-2: Mean; Lesson 16-4: Interquartile Range; Lesson 16-6: Problem Solving
MA 6.4.3 Probability: Students will apply basic concepts of probability. Indicator MA 6.4.3.b Compute theoretical probabilities for independent events
digits Grade 6 For related content, please see: Unit F: Lesson 15-1: Statistical Questions; Lesson 15-2: Dot Plots; Lesson 15-3: Histograms; Lesson 15-4: Box Plots; Lesson 15-5: Choosing an Appropriate Display; Lesson 15-6: Problem Solving; Lesson 16-1: Median; Lesson 16-2: Mean; Lesson 16-3: Variability; Lesson 16-4: Interquartile Range; Lesson 16-5: Mean Absolute Deviation; Lesson 16-6: Problem Solving Also see: digits Grade 7 Unit F: Lesson 17-1: Compound Events; Lesson 17-2: Sample Spaces; Lesson 17-3: Counting Outcomes; Lesson 17-4: Finding Theoretical Probabilities; Lesson 17-7: Problem Solving
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Indicator MA 6.4.3.c Find experimental probability for independent events Mastery not expected
digits Grade 6 For related content, please see Unit F: Lesson 15-1: Statistical Questions; Lesson 15-2: Dot Plots; Lesson 15-3: Histograms; Lesson 15-4: Box Plots; Lesson 15-5: Choosing an Appropriate Display; Lesson 15-6: Problem Solving; Lesson 16-1: Median; Lesson 16-2: Mean; Lesson 16-3: Variability; Lesson 16-4: Interquartile Range; Lesson 16-5: Mean Absolute Deviation; Lesson 16-6: Problem Solving Also see: digits Grade 7 Unit F: Lesson 16-3: Relative Frequency and Experimental Probability; Lesson 16-5: Probability Models; Lesson 16-6: Problem Solving; Lesson 17-5: Simulation With Random Numbers; Lesson 17-6: Finding Probabilities by Simulation; Lesson 17-7: Problem Solving
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Nebraska 7th Grade Mathematics Standards
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Grade 7 NUMBER SYSTEM MA 7.1.1 Number System: Students will represent and show relationships among rational numbers. Indicator MA 7.1.1.a Show equivalence among fractions, decimals, and percents
digits Grade 7 Unit A: Lesson 1-1: Equivalent Ratios; Lesson 1-2: Unit Rates; Lesson 1-3: Ratios With Fractions; Lesson 1-4: Unit Rates With Fractions; Lesson 1-5: Problem Solving; Lesson 2-1: Proportional Relationships and Tables; Lesson 2-2: Proportional Relationships and Graphs; Lesson 2-3: Constant of Proportionality; Lesson 2-4: Proportional Relationships and Equations; Lesson 2-5: Maps and Scale Drawings; Lesson 2-6: Problem Solving Unit B: Lesson 6-1: Repeating Decimals; Lesson 6-2: Terminating Decimals; Lesson 6-5: Fractions, Decimals, and Percents; Lesson 6-7: Problem Solving
Indicator MA 7.1.1.b Compare and order rational numbers (fractions, decimals, percents)
digits Grade 7 Intervention Lessons: Lesson i6-2: Comparing and Ordering Decimals; Lesson i9-3: Comparing and Ordering Fractions
Indicator MA 7.1.1.c Represent large numbers using scientific notation MASTERY NOT EXPECTED
digits Grade 7 Intervention Lessons: Lesson i18-2: Multiplying Decimals by Powers of Ten
MA 7.1.3 Computation: Students will compute fluently and accurately using appropriate strategies and tools. Indicator MA 7.1.3.a Compute accurately with integers
digits Grade 7 Unit B: Lesson 4-1: Rational Numbers, Opposites, and Absolute Value; Lesson 4-2: Adding Integers; Lesson 4-4: Subtracting Integers; Lesson 4-6: Distance on a Number Line; Lesson 4-7: Problem Solving; Lesson 5-1: Multiplying Integers; Lesson 5-3: Dividing Integers; Lesson 5-6: Problem Solving
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Indicator MA 7.1.3.b Select, apply, and explain the method of computation when problem solving using integers and positive rational numbers
digits Grade 7 Unit B: Lesson 4-1: Rational Numbers, Opposites, and Absolute Value; Lesson 4-2: Adding Integers; Lesson 4-3: Adding Rational Numbers; Lesson 4-4: Subtracting Integers; Lesson 4-5: Subtracting Rational Numbers; Lesson 4-6: Distance on a Number Line; Lesson 4-7: Problem Solving; Lesson 5-1: Multiplying Integers; Lesson 5-2: Multiplying Rational Numbers; Lesson 5-3: Dividing Integers; Lesson 5-4: Dividing Rational Numbers; Lesson 5-5: Operations With Rational Numbers; Lesson 5-6: Problem Solving; Lesson 6-1: Repeating Decimals; Lesson 6-2: Terminating Decimals; Lesson 6-3: Percents Greater Than 100; Lesson 6-4: Percents Less Than 1; Lesson 6-5: Fractions, Decimals, and Percents; Lesson 6-6: Percent Error; Lesson 6-7: Problem Solving
Indicator MA 7.1.3.c Solve problems involving percent of numbers
digits Grade 7 Unit A: Lesson 3-1: The Percent Equation; Lesson 3-2: Using the Percent Equation; Lesson 3-3: Simple Interest; Lesson 3-4: Compound Interest; Lesson 3-5: Percent Increase and Decrease; Lesson 3-6: Markups and Markdowns; Lesson 3-7: Problem Solving Unit B: Lesson 6-3: Percents Greater Than 100; Lesson 6-4: Percents Less Than 1; Lesson 6-5: Fractions, Decimals, and Percents; Lesson 6-6: Percent Error; Lesson 6-7: Problem Solving
MA 7.1.4 Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools. Indicator MA 7.1.4.a Use estimation methods to check the reasonableness of solutions for problem involving integers and positive rational numbers
digits Grade 7 Unit B: Lesson 6-6: Percent Error Unit E: Lesson 14-2: Estimating a Population; Lesson 14-3: Convenience Sampling; Lesson 14-4: Systematic Sampling; Lesson 14-5: Simple Random Sampling; Lesson 15-6: Problem Solving
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GEOMETRIC/MEASUREMENT CONCEPTS MA 7.2.2 Coordinate Geometry: Students will identify locations using coordinate geometry. Indicator MA 7.2.2.a Plot the location of an ordered pair in the coordinate plane
digits Grade 7 Intervention Lessons: Lesson i22-2: Graphing in the Coordinate Plane; i22-3 Distance When There’s a Common Coordinate
Indicator MA 7.2.2.c Find the distance between points along horizontal and vertical lines of a coordinate plane
digits Grade 7 Intervention Lessons: i22-3 Distance When There’s a Common Coordinate
MA 7.2.3 Transformations: Students will use transformations and symmetry to analyze geometric shapes. Indicator MA 7.2.3.b Perform and describe positions and orientation of shapes under a single transformation on an coordinate plane
digits Grade 7 For related content, please see: Unit A: Lesson 2-5: Maps and Scale Drawings; Lesson 2-6: Problem Solving Also see: digits Grade 8 Unit E: Lesson 9-1: Translations; Lesson 9-2: Reflections; Lesson 9-3: Rotations; Lesson 9-4: Congruent Figures; Lesson 9-5: Problem Solving; Lesson 10-1: Dilations
MA 7.2.5 Measurement: Students will select and apply appropriate procedures, tools, and formulas to determine measurements. Indicator MA 7.2.5.b Determine the area of trapezoids and circles, and the circumference of circles
digits Grade 7 Unit D: Lesson 11-1: Center, Radius, and Diameter; Lesson 11-2: Circumference of a Circle; Lesson 11-3: Area of a Circle; Lesson 11-4: Relating Circumference and Area of a Circle; Lesson 11-5: Problem Solving Intervention Lessons: Lesson i19-2: Classifying Quadrilaterals
ALGEBRAIC CONCEPTS MA 7.3.1 Relationships: Students will represent and analyze relationships using algebraic symbols. Indicator MA 7.3.1.a Describe and create algebraic expressions from words, tables, and graphs
digits Grade 7 Unit C: Lesson 7-1: Expanding Algebraic Expressions; Lesson 7-2: Factoring Algebraic Expressions; Lesson 7-3: Adding Algebraic Expressions; Lesson 7-4: Subtracting Algebraic Expressions; Lesson 7-5: Problem Solving
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Indicator MA 7.3.1.b Use a variable to describe a situation with an inequality
digits Grade 7 Unit C: Lesson 9-1: Solving Inequalities Using Addition or Subtraction; Lesson 9-2: Solving Inequalities Using Multiplication or Division; Lesson 9-3: Solving Two-Step Inequalities; Lesson 9-4: Solving Multi-Step Inequalities; Lesson 9-5: Problem Solving
MA 7.3.2 Modeling in Context: Students will create, use, and interpret models of quantitative relationships. Indicator MA 7.3.2.a Model contextualized problems using various representations
digits Grade 7 Unit A: Lesson 1-1: Equivalent Ratios; Lesson 1-2: Unit Rates; Lesson 1-3: Ratios With Fractions; Lesson 1-4: Unit Rates With Fractions; Lesson 1-5: Problem Solving; Lesson 2-1: Proportional Relationships and Tables; Lesson 2-2: Proportional Relationships and Graphs; Lesson 2-3: Constant of Proportionality; Lesson 2-4: Proportional Relationships and Equations; Lesson 2-5: Maps and Scale Drawings; Lesson 2-6: Problem Solving; Lesson 3-1: The Percent Equation; Lesson 3-2: Using the Percent Equation; Lesson 3-3: Simple Interest; Lesson 3-4: Compound Interest; Lesson 3-5: Percent Increase and Decrease; Lesson 3-6: Markups and Markdowns; Lesson 3-7: Problem Solving Unit B: Lesson 4-3: Adding Rational Numbers; Lesson 4-5: Subtracting Rational Numbers; Lesson 4-6: Distance on a Number Line; Lesson 4-7: Problem Solving; Lesson 5-2: Multiplying Rational Numbers; Lesson 5-4: Dividing Rational Numbers; Lesson 5-5: Operations With Rational Numbers; Lesson 5-6: Problem Solving; Lesson 6-3: Percents Greater Than 100; Lesson 6-4: Percents Less Than 1; Lesson 6-5: Fractions, Decimals, and Percents Unit C: Lesson 8-1: Solving Simple Equations; Lesson 8-2: Writing Two-Step Equations; Lesson 8-3: Solving Two-Step Equations; Lesson 8-4: Solving Equations Using the Distributive Property; Lesson 8-5: Problem Solving
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MA 7.3.3 Procedures: Students will apply properties to solve equations and inequalities. Indicator MA 7.3.3.c Given the value of the variable(s), evaluate variable expressions with respect to order of operations
digits Grade 7 Unit A: Lesson 2-4: Proportional Relationships and Equations; Lesson 3-3: Simple Interest; Lesson 3-4: Compound Interest; Lesson 3-5: Percent Increase and Decrease; Lesson 3-6: Markups and Markdowns; Lesson 3-7: Problem Solving Unit D: Lesson 11-2: Circumference of a Circle; Lesson 11-3: Area of a Circle; Lesson 11-4: Relating Circumference and Area of a Circle; Lesson 11-5: Problem Solving
Indicator MA 7.3.3.d Solve two-step equations involving integers and positive rational numbers
digits Grade 7 Unit C: Lesson 8-2: Writing Two-Step Equations; Lesson 8-3: Solving Two-Step Equations; Lesson 8-4: Solving Equations Using the Distributive Property; Lesson 8-5: Problem Solving
Indicator MA 7.3.3.e Solve one-step inequalities involving positive rational numbers MASTERY NOT EXPECTED
digits Grade 7 Unit C: Lesson 9-1: Solving Inequalities Using Addition or Subtraction; Lesson 9-2: Solving Inequalities Using Multiplication or Division; Lesson 9-5: Problem Solving
DATA ANALYSIS/PROBABILITY CONCEPTS MA 7.4.1 Display and Analysis: Students will formulate questions that can be addressed with data, and then organize, display, and analyze the relevant data to answer their questions. Indicator MA 7.4.1.a Analyze data sets and interpret their graphical representations
digits Grade 7 Unit E: Lesson 14-1: Populations and Samples; Lesson 14-2: Estimating a Population; Lesson 14-3: Convenience Sampling; Lesson 14-4: Systematic Sampling; Lesson 14-5: Simple Random Sampling; Lesson 14-6: Comparing Sampling Methods; Lesson 14-7: Problem Solving; Lesson 15-1: Statistical Measures; Lesson 15-2: Multiple Populations and Inferences; Lesson 15-3: Using Measures of Center; Lesson 15-4: Using Measures of Variability; Lesson 15-5: Exploring Overlap in Data Sets; Lesson 15-6: Problem Solving
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Indicator MA 7.4.1.b Find and interpret mean, median, mode, and range for set of data
digits Grade 7 Unit E: Lesson 15-3: Using Measures of Center; Lesson 15-4: Using Measures of Variability; Lesson 15-5: Exploring Overlap in Data Sets; Lesson 15-6: Problem Solving
MA 7.4.3 Probability: Students will apply and interpret basic concepts of probability. Indicator MA 7.4.3.a Find the probability of independent compound events
digits Grade 7 Unit F: Lesson 17-1: Compound Events; Lesson 17-2: Sample Spaces; Lesson 17-3: Counting Outcomes; Lesson 17-4: Finding Theoretical Probabilities; Lesson 17-7: Problem Solving
Indicator MA 7.4.3.b Compare and contrast theoretical and experimental probabilities
digits Grade 7 Unit F: Lesson 16-3: Relative Frequency and Experimental Probability; Lesson 16-4: Theoretical Probability; Lesson 16-5: Probability Models; Lesson 16-6: Problem Solving; Lesson 17-4: Finding Theoretical Probabilities; Lesson 17-5: Simulation With Random Numbers; Lesson 17-6: Finding Probabilities by Simulation; Lesson 17-7: Problem Solving
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Grade 8 NUMBER SYSTEM MA 8.1.1 Number System: Students will represent and show relationships among real numbers. Indicator MA 8.1.1.a Compare and order real numbers
digits Grade 8 Unit A: Lesson 1-4: Comparing and Ordering Rational and Irrational Numbers; Lesson 1-5: Problem Solving
Indicator MA 8.1.1.c Represent small numbers using scientific notation MASTERY NOT EXPECTED
digits Grade 8 Unit B: Lesson 4-1: Exploring Scientific Notation; Lesson 4-3: Using Scientific Notation to Describe Very Small Quantities; Lesson 4-4: Operating with Numbers Expressed in Scientific Notation; Lesson 4-5: Problem Solving
Indicator MA 8.1.1.d Classify numbers as natural, whole, integer, rational, irrational, or real
digits Grade 8 Unit A: Lesson 1-1: Expressing Rational Numbers with Decimal Expansions; Lesson 1-2: Exploring Irrational Numbers; Lesson 1-3: Approximating Irrational Numbers; Lesson 1-4: Comparing and Ordering Rational and Irrational Numbers; Lesson 1-5: Problem Solving
MA 8.1.3 Computation: Students will compute fluently and accurately using appropriate strategies and tools. Indicator MA 8.1.3.a Compute accurately with rational numbers
digits Grade 8 Unit A: Lesson 1-5: Problem Solving Unit B: Lesson 4-1: Exploring Scientific Notation; Lesson 4-2: Using Scientific Notation to Describe Very Large Quantities; Lesson 4-3: Using Scientific Notation to Describe Very Small Quantities; Lesson 4-4: Operating with Numbers Expressed in Scientific Notation; Lesson 4-5: Problem Solving
Indicator MA 8.1.3.b Evaluate expressions involving absolute value of integers
digits Grade 8 Intervention Lessons: Lesson i21-1: Understanding Integers; Lesson i21-2: Comparing and Ordering Integers; Lesson i21-3: Adding Integers; Lesson i21-4: Subtracting Integers
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Indicator MA 8.1.3.d Select, apply, and explain the method of computation when problem solving using rational numbers
digits Grade 8 Unit A: Lesson 1-5: Problem Solving Unit B: Lesson 3-3: Exponents and Multiplication; Lesson 3-4: Exponents and Division; Lesson 3-5: Zero and Negative Exponents; Lesson 3-6: Comparing Expressions with Exponents; Lesson 3-7: Problem Solving; Lesson 4-1: Exploring Scientific Notation; Lesson 4-2: Using Scientific Notation to Describe Very Large Quantities; Lesson 4-3: Using Scientific Notation to Describe Very Small Quantities; Lesson 4-4: Operating with Numbers Expressed in Scientific Notation; Lesson 4-5: Problem Solving
Indicator MA 8.1.3.e Solve problems involving ratios and proportions
digits Grade 8 Unit C: Lesson 5-1: Graphing Proportional Relationships; Lesson 5-4: Unit Rates and Slope; Lesson 5-7: Problem Solving;
MA 8.1.4 Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools. Indicator MA 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers
digits Grade 8 Unit A: Lesson 1-4: Comparing and Ordering Rational and Irrational Numbers; Lesson 1-5: Problem Solving Unit C: 6-2: Estimating Solutions of Linear Systems by Inspection; Lesson 6-3: Solving Systems of Linear Equations by Graphing Unit E: Lesson 10-1: Dilations; Lesson 10-2: Similar Figures; Lesson 10-3: Relating Similar Triangles and Slope; Lesson 10-4: Problem Solving
GEOMETRIC/MEASUREMENT CONCEPTS MA 8.2.1 Characteristics: Students will describe, compare, and contrast characteristics, properties and relationships of geometric shapes and objects. Indicator MA 8.2.1.c Identify geometric properties of parallel lines cut by a transversal and related angles
digits Grade 8 Unit E: Lesson 11-1: Angles, Lines, and Transversals; Lesson 11-2: Reasoning and Parallel Lines; Lesson 11-4: Exterior Angles of Triangles; Lesson 11-6: Problem Solving
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Indicator MA 8.2.1.d Identify pairs of angles
digits Grade 8 Unit E: Lesson 11-1: Angles, Lines, and Transversals; Lesson 11-2: Reasoning and Parallel Lines; Lesson 11-3: Interior Angles of Triangles; Lesson 11-4: Exterior Angles of Triangles; Lesson 11-5: Angle-Angle Triangle Similarity; Lesson 11-6: Problem Solving
Indicator MA 8.2.1.e Examine the relationships of the interior angles to a triangle (e.g., the sum of the angles is 180 degrees)
digits Grade 8 Unit E: Lesson 11-3: Interior Angles of Triangles; Lesson 11-5: Angle-Angle Triangle Similarity; Lesson 11-6: Problem Solving
MA 8.2.2 Coordinate Geometry: Students will specify locations and describe relationships using coordinate geometry. Indicator MA 8.2.2.a Use coordinate geometry to represent and examine the properties of rectangles and squares using horizontal and vertical segments
digits Grade 8 Unit E: Lesson 12-5: Distance in the Coordinate Plane
MA 8.2.5 Measurement: Students will apply appropriate procedures, tools, and formulas to determine measurements. Indicator MA 8.2.5.c Apply the Pythagorean theorem to find missing lengths in right triangles and to solve problems
digits Grade 8 Unit E: Lesson 12-2: The Pythagorean Theorem; Lesson 12-3: Finding Unknown Leg Lengths; Lesson 12-4: The Converse of the Pythagorean Theorem; Lesson 12-5: Distance in the Coordinate Plane; Lesson 12-6: Problem Solving
Indicator MA 8.2.5.d Use scale factors to find missing lengths in similar shapes
digits Grade 8 Unit E: Lesson 10-1: Dilations; Lesson 10-3: Relating Similar Triangles and Slope; Lesson 10-4: Problem Solving
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ALGEBRAIC CONCEPTS MA 8.3.1 Relationships: Students will represent and analyze relationships using algebraic symbols. Indicator MA 8.3.1.b Describe relationships using algebraic expressions, equations, and inequalities
digits Grade 8 Unit B: Lesson 2-1: Solving Two-Step Equations; Lesson 2-2: Solving Equations with Variables on Both Sides; Lesson 2-3: Solving Equations Using the Distributive Property; Lesson 2-4: Solutions – One, None, or Infinitely Many; Lesson 2-5: Problem Solving Unit C: Lesson 5-1: Graphing Proportional Relationships; Lesson 5-2: Linear Equations: y = mx; Lesson 5-3: The Slope of a Line; Lesson 5-4: Unit Rates and Slope; Lesson 5-5: The y-intercept of a Line; Lesson 5-6: Linear Equations: y = mx + b; Lesson 5-7: Problem Solving; Lesson 6-1: What is a System of Linear Equations in Two Variables?; Lesson 6-2: Estimating Solutions of Linear Systems by Inspection; Lesson 6-3: Solving Systems of Linear Equations by Graphing; Lesson 6-4: Solving Systems of Linear Equations Using Substitution; Lesson 6-5: Solving Systems of Linear Equations Using Addition; Lesson 6-6: Solving Systems of Linear Equations Using Subtraction; Lesson 6-7: Problem Solving
MA 8.3.2 Modeling in Context: Students will create, use, and interpret models of quantitative relationships. Indicator MA 8.3.2.a Model contextualized problems using various representations
digits Grade 8 Unit C: Lesson 5-1: Graphing Proportional Relationships; Lesson 5-2: Linear Equations: y = mx; Lesson 5-3: The Slope of a Line; Lesson 5-4: Unit Rates and Slope; Lesson 5-5: The y-intercept of a Line; Lesson 5-6: Linear Equations: y = mx+b; Lesson 5-7: Problem Solving Unit D: Lesson 7-3: Linear Functions; Lesson 7-5: Increasing and Decreasing Intervals; Lesson 7-6: Sketching a Function Graph; Lesson 7-7: Problem Solving; Lesson 8-1: Defining a Linear Function Rule; Lesson 8-2: Rate of Change; Lesson 8-3: Initial Value; Lesson 8-4: Comparing Two Linear Functions; Lesson 8-5: Constructing a Function to Model a Linear Relationship; Lesson 8-6: Problem Solving
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MA 8.3.3 Procedures: Students will apply properties to solve equations and inequalities. Indicator MA 8.3.3.b Evaluate numerical expressions containing whole number exponents
digits Grade 8 Unit B: Lesson 3-1: Perfect Squares, Square Roots, and Equations of the form x^2 = p; Lesson 3-2: Perfect Cubes, Cube Roots, and Equations of the form x^3 = p; Lesson 3-3: Exponents and Multiplication; Lesson 3-4: Exponents and Division; Lesson 3-5: Zero and Negative Exponents; Lesson 3-6: Comparing Expressions with Exponents; Lesson 3-7: Problem Solving; Lesson 4-1: Exploring Scientific Notation; Lesson 4-2: Using Scientific Notation to Describe Very Large Quantities; Lesson 4-3: Using Scientific Notation to Describe Very Small Quantities; Lesson 4-4: Operating with Numbers Expressed in Scientific Notation; Lesson 4-5: Problem Solving
Indicator MA 8.3.3.c Solve multi-step equations involving rational numbers
digits Grade 8 Unit B: Lesson 2-1: Solving Two-Step Equations; Lesson 2-2: Solving Equations with Variables on Both Sides; Lesson 2-3: Solving Equations Using the Distributive Property; Lesson 2-4: Solutions – One, None, or Infinitely Many; Lesson 2-5: Problem Solving
Indicator MA 8.3.3.d Solve two-step inequalities involving rational numbers
digits Grade 8 For related content, please see: Unit B: Lesson 2-1: Solving Two-Step Equations; Lesson 2-2: Solving Equations with Variables on Both Sides; Lesson 2-3: Solving Equations Using the Distributive Property; Lesson 2-4: Solutions – One, None, or Infinitely Many; Lesson 2-5: Problem Solving Also see: digits Grade 7 Unit C: Lesson 9-3: Solving Two-Step Inequalities; Lesson 9-4: Solving Multi-Step Inequalities; Lesson 9-5: Problem Solving
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DATA ANALYSIS/PROBABILITY CONCEPTS MA 8.4.1 Display and Analysis: Students will formulate questions that can be addressed with data, and then organize, display, and analyze the relevant data to answer their questions. Indicator MA 8.4.1.b Compare characteristics between sets of data or within a given set of data
digits Grade 8 Unit F: Lesson 15-1: Bivariate Categorical Data; Lesson 15-2: Constructing Two-Way Frequency Tables; Lesson 15-3: Interpreting Two-Way Frequency Tables; Lesson 15-4: Constructing Two-Way Relative Frequency Tables; Lesson 15-5: Interpreting Two-Way Relative Frequency Tables; Lesson 15-6: Choosing a Measure of Frequency; Lesson 15-7: Problem Solving
Indicator MA 8.4.1.d Select the most appropriate unit of central tendency for sets of data
digits Grade 8 For related content, please see: Unit F: Lesson 15-1: Bivariate Categorical Data; Lesson 15-2: Constructing Two-Way Frequency Tables; Lesson 15-3: Interpreting Two-Way Frequency Tables; Lesson 15-4: Constructing Two-Way Relative Frequency Tables; Lesson 15-5: Interpreting Two-Way Relative Frequency Tables; Lesson 15-6: Choosing a Measure of Frequency; Lesson 15-7: Problem Solving Also see: digits Grade 7 Unit E: Lesson 15-3: Using Measures of Center; Lesson 15-5: Exploring Overlap in Data Sets; Lesson 15-6: Problem Solving
Indicator MA 8.4.1.e Identify misrepresentation and misinterpretation of data represented in circle graphs and box plots
digits Grade 8 For related content, please see: Unit F: Lesson 15-1: Bivariate Categorical Data; Lesson 15-2: Constructing Two-Way Frequency Tables; Lesson 15-3: Interpreting Two-Way Frequency Tables; Lesson 15-4: Constructing Two-Way Relative Frequency Tables; Lesson 15-5: Interpreting Two-Way Relative Frequency Tables; Lesson 15-6: Choosing a Measure of Frequency; Lesson 15-7: Problem Solving
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MA 8.4.3 Probability: Students will apply and interpret basic concepts of probability. Indicator MA 8.4.3.a Identify complementary events and calculate their probabilities
digits Grade 8 For related content, please see: Unit F: Lesson 15-1: Bivariate Categorical Data; Lesson 15-2: Constructing Two-Way Frequency Tables; Lesson 15-3: Interpreting Two-Way Frequency Tables; Lesson 15-4: Constructing Two-Way Relative Frequency Tables; Lesson 15-5: Interpreting Two-Way Relative Frequency Tables; Lesson 15-6: Choosing a Measure of Frequency; Lesson 15-7: Problem Solving Also see: digits Grade 7 TE: Unit F: Lesson 16-4: Theoretical Probability
Indicator MA 8.4.3.b Compute probabilities for independent compound events
digits Grade 8 TE: For related content, please see: Unit F: Lesson 15-1: Bivariate Categorical Data; Lesson 15-2: Constructing Two-Way Frequency Tables; Lesson 15-3: Interpreting Two-Way Frequency Tables; Lesson 15-4: Constructing Two-Way Relative Frequency Tables; Lesson 15-5: Interpreting Two-Way Relative Frequency Tables; Lesson 15-6: Choosing a Measure of Frequency; Lesson 15-7: Problem Solving Also see: digits Grade 7 TE: Unit F: Lesson 16-1: Likelihood and Probability; Lesson 16-2: Sample Space; Lesson 16-4: Theoretical Probability; Lesson 17-1: Compound Events; Lesson 17-2: Sample Spaces; Lesson 17-3: Counting Outcomes; Lesson 17-4: Finding Theoretical Probabilities