VIEWS: 11 PAGES: 20 POSTED ON: 11/21/2011 Public Domain
Correlation of Scott Foresman to 6th Math Core Compiled by Westside 6th Grade Team Lesson Lesson Title Associated Core Core Academy Activity Cross-Curricular # Standard/Objective/Indicator Integration 1-1 Place Value 1-1-b Read and write numerals from thousandths to one billion. 1-2 Exponents 1-1-a Change whole numbers with Dishes for a Penny (Act04) 4 exponents to standard form (e.g., 2 = 0 16) and recognize that 10 = 1. 1-1-c Write a whole number to 999,999 in expanded form using exponents 5 4 (e.g., 876,539 = 8 x 10 + 7 x 10 + 6 x 3 2 1 0 10 + 5 x 10 + 3 x 10 + 9 x 10 ). 2-2-d Recognize that an exponent can 3 be represented in the following ways: 4 or 4^3. 1-3 Comparing & 1-2-b Compare and order rational numbers, including mixed fractions, Ordering Whole using a variety of methods and Numbers symbols. 1-4 Rounding Whole 1-5-b Use estimation strategies to Numbers determine whether results obtained using a calculator are reasonable. 1-5 Estimating sums & 1-5-b Use estimation strategies to determine whether results obtained Differences using a calculator are reasonable. 1-6 Estimating Products 1-5-b Use estimation strategies to determine whether results obtained & Quotients using a calculator are reasonable. 1-7 PS: Read & 5-1-e Develop and evaluate inferences Understand and predictions based on data. 1-8 Order of Operations 1-5-h Simplify expressions, with exponents, using the order of operations. 1-9 Properties of 2-2-e Evaluate expressions and formulas, substituting given values for Operations the variables (e.g., 2x+4; x=2; therefore, 2(2)+4=8). 1-10 Mental Math: Using the Distributive Property 1-11 Mental Math 1-5-a Determine when it is appropriate to use estimation, mental math Strategies strategies, paper and pencil, or a calculator. 1-12 PS: Plan & Solve 1-3-d Select or write a number sentence that can be used to solve a multi-step problem and write a word problem when given a two-step expression or equation. 5-1-e Develop and evaluate inferences and predictions based on data. 1-13 Variables & 2-1-b Create tables and graphs to represent given patterns and algebraic Expressions expressions. 2-2-a Recognize that a number in front of a variable indicates multiplication (e.g., 3y means 3 times the quantity y). 2-2-e Evaluate expressions and formulas, substituting given values for the variables (e.g., 2x+4; x=2; therefore, 2(2)+4=8). 1-14 Properties of Equality 1-6-a Recognize that the sum of an Balance or Tilt integer and its opposite is zero. 2-2-b Solve two-step equations involving whole numbers and a single variable (e.g., 3x+4=19). 1-15 Solving Equations 2-2-b Solve two-step equations Two-Step Equations involving whole numbers and a single with Whole Numbers variable (e.g., 3x+4=19). Evaluating Expressions Using Tiles 1-16 PS: Look Back & 5-1-e Develop and evaluate inferences Check and predictions based on data. 2 1-17 PS: Production 2-1 Understanding 1-1-b Read and write numerals from thousandths to one billion. Decimals 1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals. 2-2 Comparing & 1-2-b Compare and order rational numbers, including mixed fractions, Ordering Decimals using a variety of methods and symbols. 1-2-c Locate positive rational numbers on a number line. 1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals. 2-3 Rounding with 1-5-b Use estimation strategies to Decimals determine whether results obtained using a calculator are reasonable. 2-4 Estimating with 1-3-b Model addition, subtraction, multiplication, and division of fractions Decimals and decimals in a variety of ways (e.g., objects, a number line). 1-5-b Use estimation strategies to determine whether results obtained using a calculator are reasonable. 2-5 Adding & Subtracting 1-3-b Model addition, subtraction, Investing Money multiplication, and division of fractions Whole Numbers & and decimals in a variety of ways (e.g., Decimals objects, a number line). 1-5-e Add and subtract decimals to the 3 thousandths place (e.g., 34.567+3.45; 65.3-5.987). 2-6 Multiplying Whole 1-3-b Model addition, subtraction, multiplication, and division of fractions Numbers & Decimals and decimals in a variety of ways (e.g., objects, a number line). 1-5-c Multiply up to a three-digit factor by a one- or two-digit factor including decimals. 2-7 Dividing by a Whole 1-3-a Represent division of a multi-digit dividend by two-digit divisors, including Number decimals, using models, pictures, and symbols. 1-5-d Divide up to a four-digit dividend by a one- or two-digit divisor including decimals. 2-8 PS: Interpreting 1-3-a Represent division of a multi-digit dividend by two-digit divisors, including Remainders decimals, using models, pictures, and symbols. 1-5-d Divide up to a four-digit dividend by a one- or two-digit divisor including decimals. 2-9 Dividing by a 1-3-a Represent division of a multi-digit dividend by two-digit divisors, including Decimal decimals, using models, pictures, and symbols. 1-3-b Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 1-5-d Divide up to a four-digit dividend by a one- or two-digit divisor including decimals. 2-10 Multiplying & Dividing by Powers of Ten 4 2-11 Scientific Notation 1-1-d Express numbers in scientific Scientific Notation notation using positive powers of ten. 2-12 Solving Equations with Decimals 2-13 Write an Equation 1-3-d Select or write a number sentence that can be used to solve a multi-step problem and write a word problem when given a two-step expression or equation. 2-14 PS: Toronto SkyDome 3-1 Factors, Multiples, 1-2-c Locate positive rational numbers on a number line. and Divisibility 1-3-c Apply rules of divisibility. 3-2 Prime & Composite 1-1-e Classify whole numbers to 100 Prime and Composite as prime, composite, or neither. Numbers 1-1-f Determine the prime factorization for a whole number up to 50. 3-3 Greatest Common 1-2-a Find the greatest common factor Games: Factor Capture and least common multiple for two (Act05) Factor numbers using a variety of methods (e.g., list of multiples, prime factorization). 3-4 Least Common 1-2-a Find the greatest common factor and least common multiple for two Multiple numbers using a variety of methods (e.g., list of multiples, prime factorization). 3-5 PS: Make a Table 5-1-e Develop and evaluate inferences and predictions based on data. 5 3-6 Understanding 1-4-a Divide regions, sets of objects, A Newspaper and line segments into equal parts Fractions using a variety of models and Sticky Note Math illustrations. Fractured Fractions 1-4-b Name and write a fraction to represent a portion of a unit whole for halves, thirds, fourths, fifths, sixths, eighths, tenths, twelfths, and sixteenths. 3-7 Equivalent Fractions 1-4-c Write a fraction or ratio in Games: Equivalent Fractions simplest form. Capture and Equivalent Spoons (Act05) 1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals. 3-8 Improper Fractions & 1-4-c Write a fraction or ratio in simplest form. Mixed Numbers 3-9 Estimating Fractional 1-5-b Use estimation strategies to determine whether results obtained Amounts using a calculator are reasonable. 3-10 Connecting Fractions 1-2-d Convert common fractions, Domino Theory & Decimals decimals, and percents from one form to another (e.g., ¾ = 0.75 = 75%) 1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals. 3-11 Comparing & 1-2-b Compare and order rational numbers, including mixed fractions, Ordering Fractions & using a variety of methods and Decimals symbols. 3-12 PS: Multiple-Step 1-3-d Select or write a number Problems sentence that can be used to solve a multi-step problem and write a word 6 problem when given a two-step expression or equation. 3-13 PS: Earth’s Surface 4-1 Adding & Subtracting 1-3-b Model addition, subtraction, Games: Garbage Can multiplication, and division of fractions Basketball (Act05) Fractions with Like and decimals in a variety of ways (e.g., Denominators objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers. 4-2 Adding & Subtracting 1-3-b Model addition, subtraction, multiplication, and division of fractions Fractions with Unlike and decimals in a variety of ways (e.g., Denominators objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers. 4-3 PS: Look for a 2-1-a Analyze patterns on graphs and tables and write a generalization to Pattern predict how the patterns will continue. 4-4 Estimating Sums and 1-3-b Model addition, subtraction, multiplication, and division of fractions Differences of and decimals in a variety of ways (e.g., Fractions & Mixed objects, a number line). Numbers 1-5-b Use estimation strategies to determine whether results obtained using a calculator are reasonable. 4-5 Adding Mixed 1-3-b Model addition, subtraction, multiplication, and division of fractions Numbers and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers. 4-6 Subtracting Mixed 1-3-b Model addition, subtraction, multiplication, and division of fractions Numbers and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers. 7 4-7 Choose a 1-3-b Model addition, subtraction, multiplication, and division of fractions Computation Method and decimals in a variety of ways (e.g., objects, a number line). 4-8 PS: Exact Answer or 1-5-a Determine when it is appropriate Peer Pressure to use estimation, mental math Estimate strategies, paper and pencil, or a calculator. 4-9 PS: Hovercraft 5-1 Multiplying a Fraction 1-3-b Model addition, subtraction, multiplication, and division of fractions & a Whole Number and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers. 5-2 Multiplying Fractions 1-3-b Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers. 5-3 Estimating with 1-3-b Model addition, subtraction, multiplication, and division of fractions Fractions & Mixed and decimals in a variety of ways (e.g., Numbers objects, a number line). 1-5-b Use estimation strategies to determine whether results obtained using a calculator are reasonable. 5-4 Multiplying Mixed 1-3-b Model addition, subtraction, multiplication, and division of fractions Numbers and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers. 5-5 PS: Make an Organized List 5-6 Dividing Fractions 1-3-b Model addition, subtraction, Dividing Fractions 8 multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers. 5-7 Dividing Mixed 1-3-b Model addition, subtraction, multiplication, and division of fractions Numbers and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers. 5-8 Expressions with Fractions 5-9 Solving Equations with Fractions 5-10 PS: Writing to Explain 5-11 PS: Honeybees 6-1 Understanding 1-5-g Solve problems using ratios and proportions. Ratios 6-2 Equal Ratios 1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals. 1-5-g Solve problems using ratios and proportions. 6-3 Rates & Unit Rates 1-5-g Solve problems using ratios and proportions. 6-4 PS: Use Objects 6-5 Understanding 1-5-g Solve problems using ratios and proportions. Proportions 6-6 Solving Proportions 1-5-g Solve problems using ratios and proportions. 6-7 Solving Proportions 1-5-g Solve problems using ratios and 9 Using Cross proportions. Products 6-8 PS: Writing to Explain 6-9 Using Formulas 6-10 Scale Drawings & Maps 6-11 PS: The Stars & Stripes 7-1 Understanding 1-4-d Name equivalent forms for Pennies for Pits fractions (halves, thirds, fourths, fifths, Percent tenths), ratios, percents, and decimals, including repeating or terminating decimals. 7-2 Fractions, Decimals, 1-2-d Convert common fractions, Smaller Than One and Percents decimals, and percents from one form to another (e.g., ¾ = 0.75 = 75%) 1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals. 5-2-a Write the results of a probability experiment as a fraction, ratio, or percent between zero and one. 7-3 PS: Writing to Explain 7-4 Mental Math: Finding a Percent of a Number 7-5 Estimating with 1-5-b Use estimation strategies to determine whether results obtained Percents using a calculator are reasonable. 7-6 Finding a Percent of 1-2-b Compare and order rational numbers, including mixed fractions, a Number using a variety of methods and symbols. 10 7-7 PS: Solve a Simpler Problem 7-8 Sales Tax & Discount 7-9 Percent of Increase & Decrease 7-10 Simple Interest 7-11 PS: Airports 8-1 Understanding 1-6-a Recognize that the sum of an integer and its opposite is zero. Integers 1-6-b Model addition and subtraction of integers using manipulatives and a number line. 8-2 Comparing & 1-2-b Compare and order rational numbers, including mixed fractions, Ordering Integers using a variety of methods and symbols. 1-6-b Model addition and subtraction of integers using manipulatives and a number line. 8-3 Understanding 1-2-b Compare and order rational numbers, including mixed fractions, Rational Numbers using a variety of methods and symbols. 1-2-c Locate positive rational numbers on a number line. 8-4 PS: Choose an Operation 8-5 Adding Integers 1-6-b Model addition and subtraction of integers using manipulatives and a number line. 1-6-c Add and subtract integers. 8-6 Subtracting Integers 1-6-b Model addition and subtraction of integers using manipulatives and a number line. 1-6-c Add and subtract integers. 11 8-7 Multiplying Integers 8-8 Dividing Integers 1-3-a Represent division of a multi-digit dividend by two-digit divisors, including decimals, using models, pictures, and symbols. 1-5-d Divide up to a four-digit dividend by a one- or two-digit divisor including decimals. 8-9 Solving Equations 2-2-b Solve two-step equations involving whole numbers and a single with Integers variable (e.g., 3x+4=19). 8-10 PS: Work Backward 8-11 Graphing Ordered 2-1-c Draw a graph from a table of Constructing Tangrams (Act13) values or to represent an equation. Pairs Coordinate Connections 3-2-a Graph points defined by ordered pairs in all four quadrants. Tomb Robbers 3-2-b Write the ordered pair for a point in any quadrant. 8-12 Patterns & Tables 2-1-a Analyze patterns on graphs and Best Salary tables and write a generalization to predict how the patterns will continue. Growing Patterns 2-1-b Create tables and graphs to Patterns (Act08) represent given patterns and algebraic expressions. Patterns in Measurement 8-13 Graphing Equations 2-1-b Create tables and graphs to represent given patterns and algebraic expressions. 2-1-d Draw a graph from a table of values or to represent an equation. 8-14 PS: Extreme Weather 9-1 Geometric Ideas 3-1-a Identify the midpoint of a line segment. 9-2 Measuring & Drawing 3-3-a Turn (rotate) a shape around a Angle Land & Angle Aerobics point and identify the location of the (Act18) Angles 12 new vertices. Measuring Pattern Block 4-2-b Estimate and measure an angle Angles to the nearest degree. Patterns in the Sum of Polygon Angles Tomb Robbers 9-3 Angle Pairs 9-4 Constructions 9-5 PS: Draw a Picture 9-6 Polygons 3-1-b Identify concave and convex Pattern Block Polygons (Act10) polygons. 9-7 Triangles 9-8 Quadrilaterals 9-9 Circles 3-1-c Identify the center, radius, The Shape Shifter (Act09) diameter, and circumference of a circle. 9-10 Congruent & Similar Figures 9-11 Transformations 3-3-a Turn (rotate) a shape around a Transforming Triangles point and identify the location of the new vertices. 3-3-b Slide (translate) a polygon either horizontally or vertically on a coordinate grid and identify the location of the new vertices. 3-3-c Flip (reflect) a shape across either the x- or y-axis and identify the location of the new vertices. 9-12 PS: Writing to 3-3-a Turn (rotate) a shape around a point and identify the location of the Compare new vertices. 3-3-b Slide (translate) a polygon either 13 horizontally or vertically on a coordinate grid and identify the location of the new vertices. 3-3-c Flip (reflect) a shape across either the x- or y-axis and identify the location of the new vertices. 9-13 Symmetry 3-3-a Turn (rotate) a shape around a point and identify the location of the new vertices. 3-3-b Slide (translate) a polygon either horizontally or vertically on a coordinate grid and identify the location of the new vertices. 3-3-c Flip (reflect) a shape across either the x- or y-axis and location of the new vertices. 9-14 Tesselations 9-15 PS: Neuschwanstein Castle 10-1 Customary 4-1-a Compare a meter to a yard, a Metric Rhyme (Act15) liter to a quart, and a kilometer to a Measurement mile. Pennies for Pits 4-1-d Estimate length, volume, weight, and area using metric and customary units. 10-2 Metric Measurement 4-1-a Compare a meter to a yard, a Cyclops (Act03) liter to a quart, and a kilometer to a mile. 4-1-d Estimate length, volume, weight, 14 and area using metric and customary units. 10-3 Units of Measure & 4-1-c Explain how the size of the unit Trundle Wheel (Act16) used in measuring affects the precision. Precision Looking for Length 4-2-a Measure length to the nearest one-sixteenth of an inch and to the nearest millimeter. 10-4 Relating Customary 4-1-a Compare a meter to a yard, a liter to a quart, and a kilometer to a mile. & Metric Measurements 4-1-d Estimate length, volume, weight, and area using metric and customary units. 10-5 Elapsed Time 10-6 PS: Use Logical 4-2-d Calculate elapsed time across a.m. and p.m. time periods. Reasoning 10-7 Perimeter 10-8 Areas of Squares & 4-2-e Calculate the areas of triangles, rectangles, and parallelograms using Rectangles given formulas. 10-9 Relating Area & 4-1-d Estimate length, volume, weight, Perimeter and area using metric and customary units. 10-10 Area of 4-1-d Estimate length, volume, weight, Parallelograms and area using metric and customary units. &Triangles 4-2-e Calculate the areas of triangles, rectangles, and parallelograms using given formulas. 10-11 Circumference 2-2-c Recognize that “≈” indicates a Pi (Act17) relationship in which the quantities on each side are approximately of equal The Circle’s Measure value (e.g., π ≈ 3.14). 4-1-b Identify pi as the ratio of the circumference to diameter of a circle. 4-2-c Calculate the circumference of a circle using a given formula. 10-12 Area of a Circle 4-1-d Estimate length, volume, weight, 15 and area using metric and customary units. 10-13 PS: Extra or Missing Information 10-14 Solid Figures 3-1-d Identify the number of faces, Pyramids & Prisms: Euler’s edges, and vertices of prisms and Formula (Act14) pyramids. 10-15 Surface Area 4-2-f Calculate the surface area and volume of right, rectangular prisms using given formulas. 10-16 Volume 4-2-f Calculate the surface area and Cube Models (Act19) volume of right, rectangular prisms using given formulas. 10-17 PS: Underground 11-1 Samples & Surveys 5-1-a Design investigations to answer Which Month (Act20) questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). 5-1-e Develop and evaluate inferences and predictions based on data. 11-2 Mean, Median, 5-1-e Develop and evaluate inferences Mode, & Range and predictions based on data. 11-3 Frequency Tables & 5-1-a Design investigations to answer questions by collecting and organizing Line Plots data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). 5-1-b Collect, compare, and display data using an appropriate format (i.e., bar graphs, line graphs, line plots, circle graphs, scatter plots). 5-1-e Develop and evaluate inferences and predictions based on data. 11-4 Stem-and-Leaf-Plots 5-1-a Design investigations to answer 16 questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). 5-1-e Develop and evaluate inferences and predictions based on data. 11-5 Bar Graphs 5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). 5-1-b Collect, compare, and display data using an appropriate format (i.e., bar graphs, line graphs, line plots, circle graphs, scatter plots). 5-1-e Develop and evaluate inferences and predictions based on data. 11-6 Line Graphs 5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). 5-1-b Collect, compare, and display data using an appropriate format (i.e., bar graphs, line graphs, line plots, circle graphs, scatter plots). 5-1-e Develop and evaluate inferences and predictions based on data. 11-7 Circle Graphs 5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). 5-1-b Collect, compare, and display data using an appropriate format (i.e., bar graphs, line graphs, line plots, circle 17 graphs, scatter plots). 5-1-e Develop and evaluate inferences and predictions based on data. 5-2-a Write the results of a probability experiment as a fraction, ratio, or percent between zero and one. 11-8 PS: Make a Graph 5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). 5-1-e Develop and evaluate inferences and predictions based on data. 11-9 Misleading Graphs 5-1-d Recognize that changing the Exploring Scale (Act26) scale influences the appearance of a display of data. 5-1-e Develop and evaluate inferences and predictions based on data. 11-10 Counting Methods 11-11 Permutations & 5-1-e Develop and evaluate inferences Combinations and predictions based on data. 11-12 Probability 5-2-a Write the results of a probability Spinning Probability (Act 21) experiment as a fraction, ratio, or percent between zero and one. The Dice Game (Act22) 11-13 Predictions & 5-2-b Compare experimental results Drawing Conclusions (Act23) with anticipated results (e.g., Probability experimental: 7 out of 10 tails; whereas, Coin Tossing (Act25) anticipated 5 out of 10 tails). 11-14 Adding Probabilities 11-15 Multiplying Probabilities 11-16 PS: Writing to Describe 11-17 PS: Age & Growth 12-1 Graphing Inequalities 18 12-2 Solving Inequalities 12-3 PS: Try, Check, & Revise 12-4 PS: Translating Words to Expressions 12-5 Solving Two-Step 2-2-b Solve two-step equations involving whole numbers and a single Equations variable (e.g., 3x+4=19). 12-6 Patterns & Equations 2-1-a Analyze patterns on graphs and tables and write a generalization to predict how the patterns will continue. 12-7 Equations & Graphs 2-1-d Draw a graph from a table of values or to represent an equation. 12-8 Temperature 12-9 PS: Olympics Core Indicators not taught in Scott Foresman 1-4-e Relate percents less than 1% or greater than 100% to equivalent fractions, decimals, whole numbers, and mixed numbers. 2-2-d Recognize that an exponent can be represented in the following ways: 43 or 4^3. 2-2-e Evaluate expressions and formulas, substituting given values for the variables (e.g., 2x+4; x=2; therefore, 2(2)+4=8). This is treated briefly in lesson 1-9 3-1-b Identify concave and convex polygons. Polygons are taught in lesson 9-6, but concave and convex polygons aren’t mentioned. 5-1-c Compare two similar sets of data on the same graph and compare two graphs representing the same set of data. 5-2-c Compare individual, small group, and large group results for a probability experiment. 19 Technology Links can be found at http://www.nebo.edu/sagecreek/pages/math_links_6.htm 20