expmath_corr_sf_e5

A Correlation of Scott Foresman-Addison Wesley Mathematics Grade 5 to Exploring Math Level E

Scott Foresman Lesson #

Scott Foresman Lesson Title Scott Foresman Lesson Objective Exploring Math

Lesson NumberExploring Math

Lesson Title Exploring Math Lesson Objective

1-1 Place Value Through Billions

Write the standard, word, and expanded forms of whole numbers to billions, and identify the value of digits in whole numbers.

Unit 1, Lesson 1 Place Value and Ordering Numbers

Read and order any whole number.Order a set of whole numbers up to 10 digits.

1-2Comparing and Ordering Whole Numbers

Compare and orderwhole numbers through millions. Unit 1, Lesson 1 Place Value and

Ordering Numbers

Read and order any whole number.Order a set of whole numbers up to 10 digits.

1-3 Place Value Through Thousandths

Write decimals instandard, word, and expanded form through thousandths, identify the value of digits in decimal numbers, and name equivalent decimals.

Unit 4, Lesson 8 Working with Decimals

Use decimal notation for tenths, hundredths, and thousandths.Know what each digit in a decimal represents.

1-4 Comparing and Ordering Decimals

Compare and order decimals through thousandths. Unit 4, Lesson 6 Ordering Decimals

Order a set of decimals.Identify the largest and smallest decimals.Place decimals between two others on a number line.

1-5 Place-Value PatternsUse place-value ideas to write multiples of 100, 1,000, and 10,000 in different ways.

Unit 1, Lesson 5 Number Operations Using 10, 100, or 1,000

Multiply a whole number by 10, 100, and 1,000.

1-6Problem Solving Skill: Read and Understand

Tell in words what isknown and what needs to bedetermined in given word problems.






1-7 Adding and Subtracting Mentally

Compute sums anddifferences mentally using theCommutative and AssociativeProperties of Addition, compatible numbers, and compensation, and by counting up.

Unit 2, Lesson 5Mental Strategies for Addition and Subtractions

Use a variety of strategies to add two numbers mentally.Understand the relationship between addition and subtraction.Understand addition and subtraction vocabulary.

1-8Rounding Whole Numbers and Decimals

Round whole numbers through millions and decimals through thousandths. Unit 1, Lesson 6 Rounding and Ordering

Large NumbersRound numbers to the nearest 10, 100, 1,000, and 1,000,000.

1-9 Estimating Sums and Differences

Use rounding, front-end estimation, and front-end estimation with adjusting to estimate sums and differences of whole numbers and decimals.

1-10 Problem Solving Skill: Plan and Solve

Give appropriatestrategies and alternate strategies for solving word problems.

1-11Adding and Subtracting Whole Numbers

Compute sums and differences of two whole numbers greater than 10,000.

Unit 2, Lesson 1

Unit 2, Lesson 2

Written Methods for Addition

Written Methods for Subtraction

Use written procedures for addition, including decimals.Subtract whole numbers and decimals using a variety of methods.

1-12 Adding DecimalsCompute sums ofdecimals involving tenths,hundredths, and thousandths.

Unit 2, Lesson 8 Adding Decimals Add two or more decimals up to four digits and up to two decimal places.






1-13 Subtracting Decimals

Compute differencesof decimals involving tenths,hundredths, and thousandths.

Unit 2, Lesson 9 Subtracting Decimals Subtract decimals with up to four digits and up to two decimal places.

1-14Problem Solving Skill: Look Back and Check

Tell whether and why the work shown for given problems is correct or not.

1-15Problem Solving Applications: Cruise Ships

Review and apply key concepts, skills, and strategies learned in Chapter 1.

2-1 Multiplication Patterns

Mentally computeproducts of whole numbers using patterns and multiplication properties.

2-2 Estimating Products

Use rounding and compatible numbers to estimate products of whole numbers, and identify estimates as overestimates or as underestimates.

Unit 3, Lesson 7Using Grid and Partitioning Methods in Complex Problems

Use estimation before working out an accurate answer.

2-3Algebra: Mental Math: Using the Distributive Property

Mentally multiply numbers of up to three places by numbers of up to two places.

2-4 Multiplying Whole Numbers

Use the standard algorithm to multiply numbers by one- and two-digit numbers.

Unit 3, Lesson 15Review Written Methods of Multiplication

Understand the standard written method for long multiplication.Use the standard written method for long multiplication to solve problems.






2-5 Choose a Computation Method

For a variety of problems, state the computation method to be used and multiply using that method.

Unit 3, Lesson 6Using Grid and Partitioning Methods in Simple Problems

Develop written methods for multiplying a three-digit number by a two-digit number.Choose the most appropriate method to solve problems.

2-6Problem Solving Strategy:Make an Organized List

Use organized lists to solve word problems, and writeanswers in complete sentences.

Unit 4 Real-Life Problem Solving Lesson

Problem Solving Strategy Card: Creating an Organized List

2-7 Decimal Patterns Mentally multiply any decimal by a power of ten. Unit 3, Lesson 2 Multiplying by 10s,

100s, and 1,000s

Multiply whole numbers and decimals by 10, 100, and 1,000Make a generalization about mulitplying by 10, 100, and 1,000

2-8 Estimating Decimal Products

Use rounding and compatible numbers to estimate products of decimal numbers, and identify estimates as overestimates or as under-estimates.

2-9Multiplying Whole Numbers and Decimals

Use partial products and the standard algorithm to multiply whole numbers by decimals.

Unit 3, Lesson 15Review Written Methods of Multiplication

Extend the standard written method to decimals with up to two decimal places

2-10Using Grids to Multiply Decimals by Decimals

Use grid models to find products of decimals. Unit 3, Lesson 7

Using Grid and Partitioning Methods in Complex Problems

Develop written methods to find the product of two numbers.

2-11 Multiplying Decimals by Decimals

Use partial products and the standard algorithm to multiply decimals by decimals.






2-12 Algebra: Variables and Expressions

Use variables to write algebraic expressions.

2-13

Algebra: Problem Solving Skill: Translating Words into Expressions

Write number expressions for phrases.

2-14 Algebra: Find a Rule Identify patterns and find a rule for the pattern. Unit 1, Lesson 12 Number Patterns

Calculate number operations appropriately to solve problems.Explain and record how a problem was solved.

2-15 Algebra: Solving Equations

Solve equations using mental mathematics and by guessing and testing values for the variable.

2-16 Problem Solving Applications: Weight

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

3-1 The Meaning of Division

Draw a picture or useobjects to show a division situation and find quotients.

3-2 Division Patterns

Find the quotient of adivision problem whose dividend is a multiple of 10, where the division involves a basic fact.

Unit 3, Lesson 3 Dividing by Multiples of 10, 100, or 1,000

Divide by 10, 100, or 1,000, including decimals, and explain the effect.

3-3 Estimating Quotients

Use rounding, compatible numbers, and multiplication to estimate quotients of whole numbersand money.






3-4Problem Solving Strategy: Look for a Pattern

Give missing numbers or figures in a pattern.

3-5 Understanding Division

Find quotients using the model of sharing money.

3-6 Dividing Whole Numbers

Divide three-digit whole numbers by one-digit divisors. Unit 3, Lesson 8 Use Written Methods

of Division

Understand and use principles of division, such as not being able to divide a number by zero.Use written methods to divide a three-digit number by a two-digit number.

3-7 Zeros in the Quotient Divide with zeros in the quotient.

3-8 Dividing Larger Dividends

Find the quotients of four-digit whole numbers divided by one-digit divisors.

3-9 Dividing Money Find quotients of money amounts divided by one-digit divisors. Unit 3, Lesson 17 Money and "Real-Life"

ProblemsApply multiplication and division methods to problems involving money.

3-10 Factors and Divisibility

Determine ifnumbers are divisible by2, 3, 4, 5, 6, 9, and 10.

Unit 1, Lesson 11 Using the Rules of Divisibility

Use tests of divisibility to check calculations.

3-11 Prime and Composite Numbers Identify numbers as prime or composite. Unit 1, Lesson 9 Rules of Divisibility and

Prime Numbers Find prime numbers and prime factors






3-12Problem Solving Skill: Interpreting Remainders

Interpret remaindersby giving total amounts needed toinclude remainders and amountsleft over.

3-13 Algebra: Order of Operations

Evaluate expressions with three or more numbers and two or more operations.

3-14 Algebra: Graphing Ordered Pairs

On a coordinate grid, plot points for ordered pairs and identify the ordered pairs for plotted points.

Unit 5, Lesson 7 Plotting Coordinates on a Grid

Plot points in all four quadrants.Read points in all four quadrants.

3-15 Algebra: Rules, Tables, and Graphs

Create a table of values for a rule and a graph based on the table, and use the table or graph to give the output for an input.

3-16Problem Solving Applications: High-Speed Trains


4-1 Dividing by Multiples of 10

Find the quotients of division problems whose dividends and divisors are multiples of 10, where the division involves a basic fact.

Unit 3, Lesson 3 Dividing by Multiples of 10, 100, or 1,000

Divide by 10, 100, or 1,000, including decimals, and explain the effect.

4-2 Estimating with Two-Digit Divisors

Estimate quotients with whole numbers, decimals, and money divided by two-digit whole numbers.

4-3Problem Solving Strategy: Try, Check, and Revise

Solve problems using the Try, Check, and Revise strategy.






4-4Dividing Whole Numbers by Two-Digit Divisors

Use the standardalgorithm to divide three-digit whole numbers by two-digit divisors.

Unit 3, Lesson 8 Use Written Methods of Division

Understand and use principles of division, such as not being able to divide a number by zero.Use written methods to divide a three-digit number by a two-digit number.

4-5 Dividing Larger Numbers

Use the standardalgorithm to find the quotient of four-digit whole numbers divided by two-digit divisors.

4-6 Dividing: Choose a Computation Method

For a variety of problems, state the computation method to be used and divide using that method.

Unit 3, Lesson 11 Multiplication, Addition, and Division

Choose the most appropriate strategy to solve problems.

4-7 Dividing with Zeros in the Quotient

Divide numbers whosequotients include zeros.

4-8Problem-Solving Skill: Multiple-Step Problems

Solve multiple-step word problems.

4-9 Dividing Decimals by 10, 100, and 1,000

Divide decimals by 10,100, and 1,000. Unit 3, Lesson 3 Dividing by Multiples of

10, 100, or 1,000Divide by 10, 100, or 1,000, including decimals, and explain the effect.

4-10 Dividing Money by Two-Digit Divisors

Use the standardalgorithm to find quotients of money amounts divided by two-digit divisors.

Unit 3, Lesson 17 Money and "Real-Life" Problems

Apply multiplication and division methods to problems involving money.






4-11 Dividing Decimals by Whole Numbers

Use the standard algorithm to find the quotient of two- and three-digit decimal numbers divided by two-digit divisors.

Unit 3, Lesson 10 Using Different Methods of Division

Use written methods for dividing numbers involving decimals.

4-12Problem-Solving Applications: Animal Speeds


5-1 Collecting Data from a Survey

Identify a statement as fact or opinion. Interpret a line plot and a frequency table. Write a survey question.

5-2 Bar Graphs Make double bar graphs to represent data. Unit 7, Lesson 7 Bar Graphs

Read and interpret information from a bar graph.Draw a bar graph.

5-3 Line GraphsMake line graphs to represent data, and read and interpret given line graphs.

Unit 7, Lesson 6 Line Graphs

Read from a line graph.Collect and organize data on a line graph.Interpret the meaning of data in terms of the situation depicted by the graph.

5-4 Stem-and-Leaf Plots Complete, make, and interpret stem-and-leaf plots.

5-5Problem-Solving Strategy: Make a Graph

Make a line plot and a double bar graph to solve problems.






5-6 Mean, Median, and Mode

Find the mean, median, mode, and range of a set of data, and choose the measure that best represents a given set of data.

Unit 7, Lesson 2 Mode, Range, Median, and Mean

Find the mode of a set of data.Find the range of a set of data.Find the median of a set of data.Find the mean of a set of data.Collect and organize a set of data.

5-7 Circle Graphs Complete circle graphs based on data given, and interpret given circle graphs. Unit 7, Lesson 3 Pie Charts

Identify a simple pie chart.Learn to interpret a simple pie chart.Calculate totals represented on a simple pie chart.Interpret sections on a simple pie chart.

5-8 Choosing an Appropriate Graph

Choose the mostappropriate type of graph torepresent a given set of data.

5-9Problem-Solving Skill: Writing to Compare

Interpret line and double bar graphs. Describe trends in data represented by line and double bar graphs.

5-10 Predicting Outcomes

Identify events and favorable outcomes, and determine if an outcome is equally likely, impossible, less likely, more likely, or certain.

Unit 7, Lesson 9 Probability

Know that events have an outcome.Measure an event in terms of no chance, equal chance, and certain.Place an event on a probability scale.






5-11 Listing OutcomesFind all possible outcomes of an event by making a tree diagram or by multiplying.

Unit 7, Lesson 11 Using Probability Diagrams

Know that probability follows a particular set of outcomes.Read and understand a probability tree diagram.Independently collect information and present it on a probability scale.

5-12Expressing Probability as a Fraction

Some real-world problems can be solved using known concepts, skills, and strategies.

Unit 7, Lesson 10 Measuring Probability Using a Scale

Know that probability is measured on a scale of 0-1.Place events on a 0-1 scale.Estimate the probability of an event.Use the notation for probability.

5-13Problem-Solving Applications: Population Growth


6-1 Geometric IdeasIdentify importantgeometric terms relating to lines,parts of a line, angles, and planes.

Unit 5, Lesson 11 Perpindicular Lines and Points of Intersection

Understand and use the term "perpindicular."Understand and use the term "intersecting lines."

6-2 Measuring and Classifying Angles

Measure and draw angles, and classify angles according to their measures. Unit 5, Lesson 14 Measuring Angles

Measure and draw Angles.Use the vocabulary of angles appropriately.

6-3Segments and Angles Related to Circles

Identify relationships between parts of a circle such as center, radius, diameter, chord, and central angle.

Unit 5, Lesson 3 CirclesKnow the vocabulary related to circles.Understand the relationships among circumference, radius, and diameter.

6-4 Polygons Identify and classify polygons. Unit 5, Lesson 2 Sorting Shapes Using a Venn Diagram Use statements to define shapes.






6-5 Classifying Triangles Identify and classifytriangles. Unit 5, Lesson 5 Types of Triangles

Identify and name triangles.Know the definitions of different triangles (e.g., equilateral, isosceles, and scalene) and identify their attributes.

6-6 Classifying Quadrilaterals

Identify and classifyquadrilaterals. Unit 5, Lesson 1

Identifying Shaps by Plotting Points on a Grid

Know and use the term "quadrilateral."Use the properties of quadrilaterals to answer specific questions.

6-7Problems-Solving Strategy: Solve a Simpler Problems

Some complex problems can be solved by breaking them apart or changing them into smaller parts.

6-8Problem-Solving Skill: Writing to Describe

Describe similarities and differences in geometric figures.

6-9 Congruence and Similarity

Identify congruent figures and similar figures.

6-10 Transformations

Determine whether a pair of congruent figures are related by a slide (translation), flip (reflection), or turn (rotation).

Unit 5, Lesson 17 RotationIdentify a rotation.Draw a shape after a rotation of 90˚ or 180˚ around a vertex.






6-11 Symmetry Identify and make symmetrical figures and draw a line or lines of symmetry. Unit 5, Lesson 8 Reflective Symmetry

Identify lines of symmetry in two-dimensional shapes.Recognize shapes which have no lines of symmetry.Recall the number of lines o fsymmetry in two-dimensional shapes.

6-12Problem-Solving Applications: Skyscraper


7-1 Meanings of Fractions

Identify and show fractional parts of regions and sets and locations on a number line.

7-2 Fractions and Division

Division can be used to divide objects into equal parts where the parts are fractions of a whole.

7-3 Mixed Numbers Express fractions greater than 1 as mixed numbers or improper fractions. Unit 4, Lesson 1 Improper and Mixed

Fractions

Recognize the relationship between improper fractions and mixed numbers.Convert between improper fractions and mixed numbers.Simplify a fraction by reducing.

7-4 Estimating Fractional Amounts Estimate fractional parts of regions.

7-5Fractions and Mixed Numbers on the Number Line

Identify and locate fractions and mixed numbers on a number line.






7-6Problem-Solving Skill: Extra or Missing Informations

Solve problems involving too much information by using only the information needed, and decide when there is not enough information to solve a problem.

7-7 Understanding Equivalent Fractions Identify and write equivalent fractions. Unit 4, Lesson 4

Equivalent Fractions and Common Denominators

Compare fractions by finding a common denominator.Understand the effect of multiplying the numerator and the denominator by the same number.

7-8 Equivalent Fractions

Identify fractions that are equivalent and find fractions equivalent to a given fraction using models and/or a computational procedure.

Unit 4, Lesson 4Equivalent Fractions and Common Denominators


7-9 Greatest Common Factor

Determine commonfactors and the greatest common factor of numbers.

7-10 Fractions in Simplest Form

Identify fractions that are in simplest form and find the simplest form of a fraction.

Unit 4, Lesson 3 Finding Simplified Equivalent Fractions

Express fractions in their simplest form.Use reducing to simplify the product of a fraction and an integer.Simplify improper fractions.






7-11 Understanding Comparing Fractions

Determine which of two fractions is greater or less and write a comparison. Unit 4, Lesson 4



7-12Comparing and Ordering Fractions and Mixed Numbers

Compare and orderfractions and mixed numbers. Unit 4, Lesson 2 Ordering Fractions

Order a set of fractions by finding a lowest common denominator or an equivalent fraction.Find the midpoint between two fractions.

7-13 Fractions and Decimals

Represent decimals(tenths and hundredths) as fractions and simple fractions as decimals.

Unit 4, Lesson 7 Converting Decimals into Fractions

Convert a fraction to a decimal.Convert a decimal to a fraction.

7-14Fractions and Decimals on the Number Line

Label a point on a number line using a fraction and a decimal, and write a fraction and decimal for a point on a number line.

7-15Problem-Solving Strategy: Use Logical Reasoning

Use the information given in the problem to make conclusions. Unit 2 Real-Life Problem

Solving CardProblem Solving Strategy Card: Using Logical Reasoning

7-16Problem-Solving Applications: Extreme Machines


8-1

Adding and Subtracting Fractions with Like Denominators

Add or subtract fractions with like denominators.






8-2

Understanding Adding and Subtracting with Unlike Denominators

Find a common denominator for two fractions using fraction strips.

8-3 Least Common Denominator

Find a common denominator for two fractions. Unit 4, Lesson 4


Compare fractions by finding a common denominator.Understand the effect of multiplying the numerator and denominator by the same number.

8-4

Adding and Subtraction Fractions with Unlike Denominators

Add and subtract fractions with unlike denominators.

8-5

Understanding Adding and Subtracting with Mixed Numbers

Add and subtractmixed numbers with andwithout renaming.

8-6Estimating Sums and Differences of Mixed Numbers

Estimate sums and differences of mixed numbers.

8-7 Adding Mixed Numbers

Estimate sums and add mixed numbers.

8-8 Subtracting Mixed Numbers

Estimate differences and subtract mixed numbers.






8-9Problem-Solving Strategy: Work Backwards

Solve problems that require finding the original times, measurements, or quantities that led to a result that is given.

Unit 6 Real-Life Problem Solving Lesson

Problem Solving Strategy Card: Working Backwards

8-10 Multiplying Fractions by Whole Numbers

Use models or mental math to find fractions of whole numbers. Unit 4, Lesson 5 Fractions and Decimals

Find fractions of amounts and quantities by multiplying the fraction by an integer.

8-11 Estimating Products of Fractions

Use compatible numbers and mental math to estimate the product of a whole number and a fraction.

8-12 Multiplying Fractions Use models or paper and pencil to multiply fractions.

8-13 Multiplying Mixed Numbers Multiply mixed numbers.

8-14Understanding Division with Fractions

Use models or mental math to divide fractions.

8-15Problem-Solving Skill: Choose an Operation

Solve a problem by choosing an operation.

8-16Problem-Solving Applications: Shoreline Animals


9-1 Customary Units of Length

Change between onecustomary unit of length and another, and add and subtract customary units of length.

Unit 6, Lesson 1 Metric and Customary Units of Measurement

Know and use standard metric units for length.Know and use U.S. customary units for length.






9-2 Measuring with Fractions of an Inch

Measure and drawlengths to the nearest inch, quarter inch, and eighth inch.

9-3 Metric Units of Length

Choose the mostappropriate metric unit of length,and measure lengths to the nearest centimeter and millimeter.

Unit 6, Lesson 11 Real-Life Problems Involving Measurement

Identify appropriate units of measurement and equipment for measuring.

9-4Converting Metric Units Using Decimals

Change among measurements in metric units of length. Unit 6, Lesson 6 Length, Weight,

Capacity

Use conversion for metric and U.S.customary units. Read measures from given scales.Round measures with decimal places to the nearest whole number.

9-5 Finding Perimeter Find the perimeters of polygons. Unit 6, Lesson 7 Calculating Perimeter and Area

Develop understanding of the terms perimeter and area.Use formulas for perimeter and area of rectangles.

9-6 Algebra: Finding Circumference

Find the circumference of a circle by using models and by using a formula.

9-7 Finding Area Find the area of irregular shapes by counting square units.

9-8Algebra: Areas of Squares and Rectangles

Find areas of rectangles and squares by using formulas. Unit 6, Lesson 7 Calculating Perimeter

and Area

Develop understanding of the terms perimeter and area.Use formulas for perimeter and area of rectangles.






9-9 Algebra: Areas of Parallelograms

Find the area of a parallelogram by using a formula, and find the length when the area and other side length are known.

9-10 Algebra: Areas of Triangles

Find the area of a triangle by using a formula, and find a missing length when the area and other dimension are known.

9-11Problem-Solving Strategy: Draw a Picture

Draw pictures that represent the information given in problems.

9-12 Time Change from one unit of time to another. Unit 6, Lesson 12 Determining Time

Convert units of time to solve problems.Use number operations (addition, subtraction, multiplication, and division) to determine amounts of time.

9-13 Elapsed TimeGiven any two of thesetimes, elapsed time, starting time, or ending time, find the third.

Unit 6, Lesson 12 Determining Time

Convert units of time to solve problems.Use number operations (addition, subtraction, multiplication, and division) to determine amounts of time.






9-14 Temperature

Read temperatures in degrees Fahrenheit and in degrees Celsius on a thermometer with both scales, and give changes in temperature indicating the amount of increase or decrease.

9-15Problem-Solving Skill: Writing to Explain

Write to explain how a broken ruler can be used to measure.

9-16Problem-Solving Applications: Statue of Liberty


10-1 Solid Figures

Describe the number offaces, edges, and vertices for apolyhedron and use features toidentify polyhedra and other solids.

Unit 5, Lesson 1Properties of 3-Dimensional and 2-Dimensional Shapes

Recognize features of many 2-dimensional and 3-dimensional shapes.Identify more complex polyhedra.Describe characteristics of 2-dimensional and 3-dimensional shapes.

10-2 Views of Solid Figures

Identify solids from theirnets, and draw front, top, and sideviews of solids.

10-3 Surface Area Use a formula to find the surface area of rectangular prisms. Unit 6, Lesson 9 Calculating Surface

Area

Calculate the surface area of a cube, rectangular prism, cylinder, and triangular prism.






10-4Problem-Solving Strategy: Use Objects

Use objects to solve aproblem that involves finding apattern.

10-5 Algebra: Volume Use cubes and a formula to find the volume of rectangular prisms. Unit 6, Lesson 1 Calculating Volumes

Know and use formulas for finding the volume of cubes, rectangular prisms, and cylinders.Use correct units when calculating volume.Apply knowledge of volume to real-life situations.

10-6 Customary Units of Capacity

Change among thecustomary units of capacity and add and subtract customary units of capacity.

Unit 6, Lesson 5 Measuring Capacity

Know and use standard metric and U.S. customary units for measuring capacity.Use conversions for metric and U.S. customary units.

10-7 Metric Units of Capacity

Estimate and measurecapacity using metric measures, and change millimeters to liters and vice versa.

Unit 6, Lesson 5 Measuring Capacity

Know and use standard metric and U.S. customary units for measuring capacity.Use conversions for metric and U.S. customary units.

10-8 Customary Units of Weights

Change between customary units of weight, and add and subtract customary units of weight.

Unit 6, Lesson 3Measuring Weight Using Metric and U.S. Customary Scales

Know and use standard metric units for weight.Know and use U.S. customary units for weight.Convert smaller units to larger units and vice versa.






10-9 Metric Units of MassEstimate and measuremass using metric measures, and change between these measures.

10-10Problem-Solving Skill: Exact Answer or Estimate

Give an exact answer or an estimate depending on what the problem asks.

10-11 Problem-Solving Applications: Water


11-1 Understanding Ratios

Read and write ratios for various kinds of comparisons, and tell which situation represents a ratio that is a fraction (part-whole) and which represents a ratio that is not a fraction.

Unit 4, Lesson 10 Ratio and Proportion

Use the language of ratio and proportion appropriately.Make and discuss statements relating to ratio and proportions.

11-2 Equal RatiosUse a table to generate equal ratios, write equal ratios, and tell if two ratios form a proportion.

Unit 4, Lesson 11 Ratio and Proportion Word Problems

Solve simple problems involving ratios and proportion.Understand the difference between comparing part to part and comparing a part to the whole.

11-3 Algebra: Graphs of Equal Ratios

Generate a table of equal ratios and graph the ordered pairs.

11-4 Rates Read and write rates, and change a rate to a unit rate.

11-5Problem-Solving Strategy: Make a Table

Make tables and use them to solve word problems.






11-6 Scale Drawings Create scale drawings.

11-7Problem-Solving Skill: Writing to Explain

Write to explain a prediction.

11-8 Understanding Percent

Write a percent for a given situation on a 100-grid, and create a 100-grid that shows various percents.

Unit 4, Lesson 12 Percents

Understand percent as the number of parts out of every hundred.Know the context in which percentages are used.

11-9Mental Math: Finding a Percent of a Number

Give several fraction-percent benchmarks, and estimate a percent of a whole number using benchmark percents.

11-10 Estimating Percents

Give several fraction-percent benchmarks, and estimate a percent of a whole number using benchmark percents.

11-11 Problem-Solving Applications: Food


12-1 Algebra: Properties of Equality

Identify and solveequations, and identify variables and the role of variables in equations.

12-2

Algebra: Solving Addition and Subtraction Equations

Solve equations involving addition and subtraction.






12-3Algebra: Solving Multiplication and Division Equations

Solve equations involving multiplication and division.

12-4 Algebra: Problem-Solving Strategy Write equations for word problems.

12-5Algebra: Understanding Integers

Read, write, compare, and order integers.

12-6 Algebra: Adding Integers

Add integers using anumber line.

12-7 Algebra: Subtracting Integers Subtract integers using a number line.

12-8Algebra: Problem-Solving Skill: Writing to Explain

Write to explain a pattern.

12-9 Algebra: The Coordinate Plane

Identify and graph points on a coordinate plane. Unit 5, Lesson 6 Parts of a Coordinate

System

Recognize position and direction and use coordinates.Identify all four quadrants on a pair of axes and plot points.Plot coordinates on a pair of axes.

12-10 Algebra: Graphing Equations

Make a table of x- andy-values for an equation and thengraph the equation.






12-11Problem-Solving Applications: Solar System

Review and apply keyconcepts, skills, and strategies learned in this and previous chapters.

expmath_corr_sf_e5

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