The Lattice Method of Multiplication


 Stewart Perkins
 1 years ago
 Views:
Transcription
1 The Lattice Method of Multiplication Objective To review and provide practice with the lattice method for multiplication of whole numbers and decimals. epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards Curriculum Focal Points Interactive Teacher s Lesson Guide Teaching the Lesson Ongoing Learning & Practice Differentiation Options Key Concepts and Skills Apply multiplication facts. [Operations and Computation Goal ] Use the lattice method for multiplying whole numbers and decimals. [Operations and Computation Goal ] Use magnitude estimates to verify lattice method solutions. [Operations and Computation Goal ] Key Activities Students review and practice the lattice method for multiplying multidigit whole numbers. They practice the lattice method for multiplying decimals. Ongoing Assessment: Informing Instruction See page 9. Ongoing Assessment: Recognizing Student Achievement Use an Exit Slip (Math Masters, page ). [Operations and Computation Goal ] Key Vocabulary lattice method lattice Playing Factor Bingo Math Masters, p. per group: each of number cards 9 (from the Everything Math Deck, if available) counters Students practice applying multiplication facts and number properties, recognizing factors, and factoring numbers. Multiplying and Dividing by Powers of Math Journal, pp. A and B Students practice multiplying and dividing by powers of. Math Boxes 9 Math Journal, p. Students practice and maintain skills through Math Box problems. Study Link 9 Math Masters, p. 9 Students practice and maintain skills through Study Link activities. ENRICHMENT Exploring an Ancient Multiplication Method Math Masters, p. Students analyze an ancient multiplication method and use that method to solve a multiplication problem. EXTRA PRACTICE Minute Math Minute Math, p. Students practice multiplying decimals. EXTRA PRACTICE Multiplying Decimals Math Masters, p. Students practice multiplying decimals and writing about their strategies. Materials Math Journal, pp. and Student Reference Book, pp. and Study Link Math Masters, pp.,, and Class Data Pad Advance Preparation For Part, draw a by and a by lattice on the board. You might find it helpful to copy the lattice computation grids on Math Masters, page 7 on a transparency. Each student will need copies of Math Masters, page. Teacher s Reference Manual, Grades pp. Unit Estimation and Computation
2 Getting Started Mathematical Practices SMP, SMP, SMP, SMP Content Standards.NBT.,.NBT.7 Mental Math and Reflexes Write problems on the board or the Class Data Pad so students can visually recognize the patterns of decimal point placement in the products. Ask students to describe the patterns they notice in each set Math Message Study the problems in Column A on journal page. Then use lattice multiplication to solve the problems in Column B. Study Link FollowUp Allow students five minutes to work together to compare their answers and correct any errors. Teaching the Lesson Math Message FollowUp (Math Journal, p. ) WHOLECLASS DISCUSSION Algorithm Project The focus of this lesson is the lattice method for multiplying whole numbers and decimals. To teach U.S. traditional multiplication with whole numbers and with decimals, see Algorithm Project on page A and Algorithm Project on page A7. Ask volunteers to demonstrate on the board how they solved the problems. Note students explanations of their processes, including their vocabulary, for use in the following review. Reviewing the Lattice Method of Multiplication (Student Reference Book, pp. and ; Math Journal, p. ; Math Masters, p. ) WHOLECLASS The lattice method for multiplying has been used since Third Grade Everyday Mathematics. This method is very easy to use because it relies almost entirely on the recall of the basic multiplication facts. Use the student examples on the board from the Math Message FollowUp to emphasize the vocabulary of the lattice method. The box with squares and diagonals is called a lattice. Ask students how they know what size lattice to use and where to write the factors. The factors tell which size lattice to use. Write the second factor above the lattice and the first factor on the right side. Some students might think of the rectangular array model for multiplication: The number of digits in the first factor is the number of rows, and the number of digits in the second factor is the number of columns. Multiply the digits. Write the answers. Ask students how they know where to write these partial products. Write the answers in the square where the multiplied digits intersect on the lattice, digit per diagonal. Some students may note that each partial product is never more than digits: Tens go in the left diagonal and ones go in the right diagonal. 9 Lattice Practice Study the problems and solutions in Column A. Then use lattice multiplication to solve the problems in Column B. Column A Column B Example : =, Example : 7 9 =, s s,s,s s s,s,s 9 7 Math Journal, p =,9 s s,s,s =, s s,s,s 7 EMcuGMJ_U_99.indd // : AM Lesson 9 7
3 Whole Numbers Lattice Method The lattice method for multiplying has been used for hundreds of years. It is very easy to use if you know the basic multiplication facts. * =? The box with cells and diagonals is called a lattice. Write above the lattice. Write on the right side of the lattice. Multiply *. Then multiply *. Then multiply *. Write the answers as shown. Add the numbers along each diagonal, starting at the right. Read the answer. * =,9 * 7 =? Write 7 above the lattice. Write on the right side of the lattice. Multiply * 7. Then multiply *. Multiply * 7. Then multiply *. Write the answers as shown. Add the numbers along each diagonal, starting at the right. When the numbers along a diagonal add up to or more: record the ones digit in the sum. add the tens digit to the sum along the next diagonal above. Read the answer. * 7 =, 9 Add the numbers along each diagonal. Ask students how they know where to begin the addition. Begin with the diagonal in the bottom righthand corner. Explain that the extended diagonal lines outside of the lattice squares are the answer spaces. Ask students how the sum is written when the sum on a diagonal is or more. Write the ones digit in the answer space and the tens digit at the top of the next diagonal. Review these steps by demonstrating with the following problem. The Lattice Method for Multiplying Whole Numbers Example: 7 =?. Write 7 above the lattice. Write on the right side. Draw a lattice for each problem. Then multiply.. * 7. *. 77 * 9. *. 7 * Check your answers on pages and. Student Reference Book, p.. Multiply 7. Then multiply. Multiply 7. Then multiply. Write the answers as shown. Decimals and Percents Lattice Multiplication with Decimals Find. *. using lattice multiplication. Step : Make a magnitude estimate.. *. * 7 The product will be in the tens. (The symbol means is about equal to.) Step : Draw the lattice and write the factors, including the decimal points, at the top and right side. In the factor above the grid, the decimal point should be above a column line. In the factor on the right side of the grid, the decimal point should be to the right of a row line. Step : Find the products inside the lattice. Steps Step : Add along the diagonals, moving from right to left. Step : Locate the decimal point in the answer as follows. Slide the decimal point in the factor above the grid down along the column line. Slide the decimal point in the factor on the right side of the grid across the row line. When the decimal points meet, slide the decimal point down along the diagonal line. Write a decimal point at the end of the diagonal line. 7 Step : Compare the result with the estimate. The product, 7.7, is very close to the estimate of 7. 7 Find 7. *. using lattice multiplication. A good magnitude estimate is 7. *. 7 * 7. (The symbol means is about equal to.) The product, 77.7, is close to the estimate of Steps The lattice method of multiplication was used by Persian scholars as long ago as the year. It was often called the grating method.. Add the numbers along each diagonal. Begin with the diagonal in the bottom righthand corner. The sum of the numbers in the second diagonal is, so write above the in the third diagonal. The sum of the numbers in that diagonal is + + =.. Stress that the answer is shown, starting on the upper left side of the lattice and continuing below the lattice. 7 =, Pass out two latticecomputation grids (Math Masters, page ) to each student. Students work with partners to use the lattice method to solve several multiplication problems in which both factors are whole numbers. Remind students to make a magnitude estimate for the problem before beginning the lattice. Suggestions: 7 7; 9; ;. Draw a lattice for each problem and multiply... *... * 7.. *. Check your answers on page. Student Reference Book, p. Unit Estimation and Computation
4 Ongoing Assessment: Informing Instruction Watch for students who are still having difficulty with the automatic recall of multiplication facts. Provide them with copies of the lattice multiplication facts table (Math Masters, page ). Name 9 Lattice Multiplication Table Teaching Master 7 The Lattice Method for Multiplying Decimals An advantage of the lattice method is that products of decimals are as easy to calculate as products of whole numbers, and the grid automatically locates the placement of the decimal point in the answer. When writing the factors above and on the right side of the lattice, include the decimal points. In the factor above the grid, the decimal point should be above a column line. In the factor on the right side of the grid, the decimal point should be to the right of a row line. Locate the decimal point in the answer as follows: Slide the decimal point in the factor above the grid down. Slide the decimal point in the factor on the right side of the grid across. The decimal points will intersect on a diagonal line. Slide that decimal point down along the diagonal line. Place a decimal point at the end of the diagonal line. Model how to use the lattice to locate the decimal point in problems with factors such as. and in problems where one factor is a whole number such as.7. Have students work with partners to use the lattice method to solve several multiplication problems in which at least one factor is a decimal. Remind students to make a magnitude estimate for the problem before beginning the lattice. Suggestions: 7.7.9;. 9..;. 7.;...7. Multiplying Whole Numbers and Decimals by the Lattice Method (Math Journal, p. ) Students solve the problems independently and then check each other s work. Circulate and assist. Bring the class together to share magnitude estimates and solutions and to explain strategies and the reasoning used = Math Masters, p. 9 For each problem: Multiplication by the Lattice Method Make a magnitude estimate. Circle the appropriate box. Solve the problem using the lattice method. Show your work below., ,...., s s,s,s s s,s,s. s s,s,s s s,s,s s s s,s s s,s,s Math Journal, p. Lesson 9 9
5 9 Math Boxes. Give the value of the boldface digits in each numeral. a. 9. hundredth b.,9,7 million c.,.7 tenths d.,7.9 thousand. Write the prime factorization of 7.. Measure angle BOP to the nearest degree. B O BOP: P. Solve. a. n 9 n b. n 7 n 9 c.. p.9 p 7.. Solve. a., b., c., 7 d. 9, 7, e.,,,, 9. Cross out the shapes below that are not polygons. 9 Ongoing Assessment: Recognizing Student Achievement Exit Slip Use an Exit Slip (Math Masters, page ) to assess students ability to use a multiplication method of their choice. Have students write a response to the following: Explain how to use the multiplication method of your choice to solve 7 =? and. 7. =? Students are making adequate progress if their explanations support their multiplication strategy and appropriate placement of the decimal. [Operations and Computation Goal ] Ongoing Learning & Practice Playing Factor Bingo (Math Masters, p. ) SMALLGROUP Math Journal, p. Students practice applying multiplication facts and number properties, recognizing factors, and factoring numbers by playing Factor Bingo. See this lesson guide, page, for game directions. It can also be played as a wholeclass activity. Multiplying and Dividing by Powers of (Math Journal, pp. A and B) Students practice multiplying and dividing by powers of. Study Link Master Name Math Boxes 9 (Math Journal, p. ) STUDY LINK 9 Multiply with the Lattice Method For each problem: Make a magnitude estimate. Circle the appropriate box. Solve using the lattice method. Show your work in the grids.. 9 º 7 s s,s,s.. º.,.7.s s s s. º.7.s s s s. º., s,s,s,s Mixed Practice Math Boxes in this lesson are paired with Math Boxes in Lesson . The skills in Problems and preview Unit content. Study Link 9 (Math Masters, p. 9) Home Connection Students make estimates and then solve multiplication problems by the lattice method º 9...s s s s Practice. 7,,7 9, R $.7 $. $9. Math Masters, p. 9 Unit Estimation and Computation
6 Differentiation Options ENRICHMENT PARTNER Exploring an Ancient Multiplication Method (Math Masters, p. ) Min To apply students understanding of multiplication, have them explore and analyze how to use an ancient Egyptian method of multiplying. When students have finished, have them describe the pattern that is used in the Egyptian method. 9 Dividing by Powers of Use the strategy described in Extended Division Facts on page of the Student Reference Book to solve Problems. Example:, / =? Divide a whole number that ends in zero by a power of., / =, Count the number of zeros in the divisor (power of )., / =, Cross out the same number of zeros in the answer (quotient) as there are zeros in the divisor (power of ), starting in the ones place., / = The numbers not crossed out give the answer. / =. 7, / =.,,. 9, / = 9,., /, =., /, = 9., / = 7 Solve the following problems. Show your work. 7. Every year, Mrs. Connick asked her students to bring in bottle caps for charity. It took Mrs. Connick years to collect one million bottle caps. About how many bottle caps did each class collect every year?, bottle caps. The entire fifth grade collected about, buttons for their Math Fun Fair estimation jar. There are fifthgrade students. If each student collected the same number of buttons, about how many buttons did each student bring in? buttons NOTE This method is also used in Project : An Ancient Multiplication Algorithm. See page in this lesson guide. EXTRA PRACTICE SMALLGROUP Minute Math Min To offer students more experience with multiplying decimals, see Minute Math, page. 9. Elves love to bake cookies. Last year, they had a contest to see who could bake the most cookies in a week. Effie, the fastest elf, baked 7 cookies an hour. She baked for hours per day. About how many cookies did she bake in a week?,9 cookies Math Journal, p. A EMcuGMJ_U_99.indd A // 9: AM EXTRA PRACTICE Multiplying Decimals (Math Masters, p. ) Min To offer students more experience with decimal multiplication, have them record the following problems onto an Exit Slip, Math Masters, page. Ask students to make magnitude estimates for each product and then solve the problems. Students should use their estimates to ensure that their answers are reasonable. Have them write an explanation of their reasoning in solving Problem a. a... =. c... =.9 b.. =, d...9 =. 9 Multiplying and Dividing Decimals by Powers of Study the problems below. 7 º = º = 7 9 º = 7 9 º =. Explain a strategy for finding a product when you multiply a number by a power of greater than. Do the same for a power of less than. Sample answer: When multiplying by,, or,, you move the decimal point to the right; when multiplying by.,., or., you move the decimal point to the left. Study the problems below. = 7 = 7 9, = 79, =. Explain a strategy for finding the quotient when you divide a number by a power of greater than. Sample answer: When dividing by,, or,, you move the decimal point one place to the left for each in the power of.. Use your strategies to solve the problems below. a. 9.7 = 9.7 b..77, =,77 c.. _. = d. 99. _ 9.9 = e.. =. f. 9,, = 9. Math Journal, p. B EMcuGMJ_U_99.indd B // 9: AM Lesson 9
Objective To introduce the concept of square roots and the use of the squareroot key on a calculator. Assessment Management
Unsquaring Numbers Objective To introduce the concept of square roots and the use of the squareroot key on a calculator. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts
More informationFactor Trees. Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers.
Factor Trees Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice
More informationParentheses in Number Sentences
Parentheses in Number Sentences Objective To review the use of parentheses. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management
More informationMultiplication and Division Fact Families
Multiplication and Division Fact Families Objectives To review fact families and the Multiplication/Division Facts Table; and to guide children as they practice multiplication and division facts. www.everydaymathonline.com
More informationBaseball Multiplication Objective To practice multiplication facts.
Baseball Multiplication Objective To practice multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common
More informationObjective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management
Equivalent Fractions Objective To guide the development and use of a rule for generating equivalent fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
More informationPlace Value in Whole Numbers
Place Value in Whole Numbers Objectives To provide practice identifying values of digits in numbers up to one billion; and to provide practice reading and writing numbers up to one billion. www.everydaymathonline.com
More informationThe PartialQuotients Division Algorithm, Part 1
The PartialQuotients Division Algorithm, Part 1 Objectives To introduce and provide practice with a lowstress division algorithm for 1digit divisors. www.everydaymathonline.com epresentations etoolkit
More informationSubtraction Strategies
Subtraction Strategies Objective To review solution strategies for subtraction of multidigit numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationFractions and Decimals
Fractions and Decimals Objectives To provide experience with renaming fractions as decimals and decimals as fractions; and to develop an understanding of the relationship between fractions and division.
More informationMultiplication Fact Power and Shortcuts
Multiplication Fact Power and Shortcuts Objectives To discuss multiplication facts and the importance of fact power; and to review fact shortcuts. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationSubtraction from Addition
Subtraction from Addition Objectives To review the and 1 shortcuts; and to guide children to identify the subtraction facts related to given addition facts. www.everydaymathonline.com epresentations etoolkit
More informationSubtraction of Multidigit Numbers
Subtraction of Multidigit Numbers Objectives To review the tradefirst and countingup methods, and to introduce the partialdifferences method of solving multidigit subtraction problems; and to provide
More informationMultiplication Facts Practice
Multiplication Facts Practice Objectives To introduce the 5facts test; and to provide practice with multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts
More informationSubtracting Mixed Numbers
Subtracting Mixed Numbers Objective To develop subtraction concepts related to mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters
More informationMultiplication Facts Survey
Multiplication Facts Survey Objective To guide children as they determine which multiplication facts they still need to learn. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM
More informationMultiplication Arrays
Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations
More informationThe Distributive Property
The Distributive Property Objectives To recognize the general patterns used to write the distributive property; and to mentally compute products using distributive strategies. www.everydaymathonline.com
More informationObjectives To review and provide practice with the lattice method for multiplication.
Objectives To review and provide practice with the lattice method for multiplication. Teaching the Lesson materials Key Activities Students review the lattice method for multiplication with  and digit
More informationInequalities. Assessment Management. Dividing Decimals by Decimals: Part 1
Inequalities Objectives To find and represent all the values that make an inequality in one variable true; and to represent realworld situations with inequalities. www.everydaymathonline.com epresentations
More informationReview: Addition and Subtraction of Positive and Negative Numbers
Review: Addition and Subtraction of Positive and Negative Numbers Objective To practice adding and subtracting positive and negative numbers. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationReview: Comparing Fractions Objectives To review the use of equivalent fractions
Review: Comparing Fractions Objectives To review the use of equivalent fractions in comparisons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters
More informationComparing Fractions Objective To provide practice ordering sets of fractions.
Comparing Fractions Objective To provide practice ordering sets of fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management
More informationMultiplication and Division of Positive and Negative Numbers
Multiplication and Division of Positive Objective o develop and apply rules for multiplying and dividing positive and www.everydaymathonline.com epresentations eoolkit Algorithms Practice EM Facts Workshop
More informationHidden Treasure: A Coordinate Game. Assessment Management. Matching Number Stories to Graphs
Hidden Treasure: A Coordinate Game Objective To reinforce students understanding of coordinate grid structures and vocabulary. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM
More informationSimplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.
Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More informationFamily Letters. Assessment Management. Playing Target: 50
The PartialSums Algorithm Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for  and digit numbers. www.everydaymathonline.com
More informationFamily Letters. Assessment Management. Playing Fraction Of
Formula for the Area of a Parallelogram Objectives To review the properties of parallelograms; and to guide the development and use of a formula for the area of a parallelogram. www.everydaymathonline.com
More informationChange Number Stories Objective To guide children as they use change diagrams to help solve change number stories.
Number Stories Objective To guide children as they use change diagrams to help solve change number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
More informationAssessment Management
Area Objectives To provide experiences with the concept of area, distinguishing between area and perimeter, and finding areas of rectangular figures by partitioning and counting squares. www.everydaymathonline.com
More informationSunriseSunset Line Graphs
SunriseSunset Line Graphs Objectives To guide children as they analyze data from the sunrisesunset routine; and to demonstrate how to make and read a line graph. www.everydaymathonline.com epresentations
More informationAddition of Multidigit Numbers
Addition of Multidigit Numbers Objectives To review the partialsums algorithm used to solve multidigit addition problems; and to introduce a columnaddition method similar to the traditional addition
More informationA CoinToss Experiment
A CoinToss Experiment Objective To guide children as they develop intuition equally likely events. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationAddition Number Stories
Addition Number Stories Objective To guide children as they make up, represent, and solve addition number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More informationAssessment Management
Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationObjective To review the partialquotients division algorithm with whole numbers.
Objective To review the partialquotients division algorithm with whole numbers. 1 Teaching the Lesson materials Key Activities Students review and practice the use of a friendly number paperandpencil
More informationCalculator Practice: Computation with Fractions
Calculator Practice: Computation with Fractions Objectives To provide practice adding fractions with unlike denominators and using a calculator to solve fraction problems. www.everydaymathonline.com epresentations
More informationReading and Writing Large Numbers
Reading and Writing Large Numbers Objective To read and write large numbers in standard, expanded, and numberandword notations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice
More informationExploring Length, Area, and Attributes
Explorations Exploring Length, Area, and Attributes Objectives To guide children as they measure lengths and distances to the nearest inch and centimeter, explore area by tiling surfaces, and sort attribute
More informationComparing and Ordering Fractions
Comparing and Ordering Fractions Objectives To review equivalent fractions; and to provide experience with comparing and ordering fractions. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationProperties of Polygons Objective To explore the geometric properties of polygons.
Properties of Polygons Objective To explore the geometric properties of polygons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationObjective To guide exploration of the connection between reflections and line symmetry. Assessment Management
Line Symmetry Objective To guide exploration of the connection between reflections and line symmetry. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationSolving Simple Equations Objective To use trial and error and a coverup method to
Solving Simple Equations Objective To use trial and error and a coverup method to solve equations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationThe Mean and the Median
The Mean and the Median Objectives To introduce the mean of a set of data; and to review the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More informationVolume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms.
Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts
More informationVolume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.
Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
More informationReading and Writing Small Numbers
Reading Writing Small Numbers Objective To read write small numbers in stard exped notations wwweverydaymathonlinecom epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationBuying at the StockUp Sale
Buying at the StockUp Sale Objective To guide children as they multiply using mental math and the partialproducts algorithm. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM
More informationThe Addition/Subtraction Facts Table
The Addition/Subtraction Facts Table Objectives To provide experience exploring patterns in sums of two dice; and to introduce the Addition/Subtraction Facts Table. www.everydaymathonline.com epresentations
More informationThe LengthofDay Project
The LengthofDay Project Objectives To review telling time and finding elapsed time; and to introduce the LengthofDay project. www.everydaymathonline.com epresentations etoolkit Algorithms Practice
More informationVolume of Pyramids and Cones
Volume of Pyramids and Cones Objective To provide experiences with investigating the relationships between the volumes of geometric solids. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationAddition and Subtraction of Decimals Objective To add, subtract, and round decimals.
Addition and Subtraction of Decimals Objective To add, subtract, and round decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationConstructing Geometric Solids
Constructing Geometric Solids www.everydaymathonline.com Objectives To provide practice identifying geometric solids given their properties; and to guide the construction of polyhedrons. epresentations
More informationExponential Notation for Powers of 10
Expntial Notation for Objective To introduce numberandword notation for large numbers and expntial notation for powers of 10. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM
More informationObjective To introduce a formula to calculate the area. Family Letters. Assessment Management
Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationNumber Models for Area
Number Models for Area Objectives To guide children as they develop the concept of area by measuring with identical squares; and to demonstrate how to calculate the area of rectangles using number models.
More informationMeasuring with Yards and Meters
Measuring with Yards and Meters Objectives To provide review for the concept of nonstandard units of measure; and to introduce yard and meter. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationSurface Area. Assessment Management
Surface Area Objective To introduce finding the surface area of prisms, cylinders, and pyramids. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters
More informationFamily Letters. Assessment Management. Math Boxes 1 4
Objective To calculate and compare the median and mean of a data set. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management
More informationThe Median. Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data.
The Median Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice
More informationFormula for the Area of a Triangle Objective To guide the development and use of a formula for the area of a triangle.
Formula for the rea of a Triangle Objective To guide the development and use of a formula for the area of a triangle. www.everydaymathonline.com epresentations etoolkit lgorithms Practice EM Facts Workshop
More informationCommon Core State Standards. Mathematical Practices SMP1, SMP5, SMP6, SMP8. Content Standards 3.OA.5, 3.OA.8
Project Objective To introduce the rules for order of operations. www.everydaymathonline.com etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards
More informationLine Plots. Objective To provide experience creating and interpreting line plots with fractional units. Assessment Management
Line Plots Objective To provide experience creating and interpreting line plots with fractional units. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationMeasuring with a Ruler
Measuring with a Ruler Objective To guide children as they measure line segments to the nearest inch, _ inch, _ inch, centimeter, _ centimeter, and millimeter. www.everydaymathonline.com epresentations
More informationFrames and Arrows Having Two Rules
Frames and Arrows Having Two s Objective To guide children as they solve FramesandArrows problems having two rules. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More informationMultiplying Fractions by Whole Numbers
Multiplying Fractions by Whole Numbers Objective To apply and extend previous understandings of multiplication to multiply a fraction by a whole number. www.everydaymathonline.com epresentations etoolkit
More informationReteaching. Properties of Operations
 Properties of Operations The commutative properties state that changing the order of addends or factors in a multiplication or addition expression does not change the sum or the product. Examples: 5
More informationFractions and Decimals: Part 2
Fractions and Decimals: Part Objective To provide experience with several graphic models for renaming fractions as decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice M Facts
More informationAssessment Management
Facts Using Doubles Objective To provide opportunities for children to explore and practice doublesplus1 and doublesplus2 facts, as well as review strategies for solving other addition facts. www.everydaymathonline.com
More informationBox Plots. Objectives To create, read, and interpret box plots; and to find the interquartile range of a data set. Family Letters
Bo Plots Objectives To create, read, and interpret bo plots; and to find the interquartile range of a data set. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More informationMultiplication of Mixed Numbers
Multiplication of Mixed Numbers Objective To introduce multiplication with mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationUsing Tree Diagrams to Calculate Probabilities
Using Tree Diagrams to Calculate Probabilities Objective To use tree diagrams to help calculate probabilities. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
More informationU.S. Traditional Subtraction Objective To introduce U.S. traditional subtraction.
Algorithm Project U.S. Traditional Objective To introduce U.S. traditional subtraction. www.everydaymathonline.com etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management
More informationObjectives To review making ballpark estimates; and to review the countingup and tradefirst subtraction algorithms. materials. materials.
Objectives To review making ballpark estimates; and to review the countingup and tradefirst subtraction algorithms. Teaching the Lesson materials Key Activities Children make ballpark estimates for digit
More informationmaterials materials materials Technology Teaching the Lesson Ongoing Learning & Practice Differentiation Options
Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for  and digit numbers. Teaching the Lesson Key Activities Children
More informationMiddle Value (Median) of a Set of Data
Middle Value (Median) of a Set of Data Objectives To guide children as they sort numerical data and arrange data in ascending or descending order, and as they find the middle value (median) for a set of
More informationObjective To introduce and practice the partialsums addition algorithm.
Objective To introduce and practice the partialsums addition algorithm. 1 Teaching the Lesson Key Activities Children are introduced to the partialsums algorithm using base1 blocks and paperandpencil
More informationSFUSD Mathematics Core Curriculum Development Project
1 SFUSD Mathematics Core Curriculum Development Project 2014 2015 Creating meaningful transformation in mathematics education Developing learners who are independent, assertive constructors of their own
More informationContents. Block A Understanding numbers 7. Block C Geometry 53. Block B Numerical operations 30. Page 4 Introduction Page 5 Oral and mental starters
Contents Page 4 Introduction Page 5 Oral and mental starters Block A Understanding numbers 7 Unit 1 Integers and decimals 8 Integers Rounding and approximation Large numbers Decimal numbers Adding and
More informationIn the number 55.55, each digit is 5, but the value of the digits is different because of the placement.
FIFTH GRADE MATHEMATICS UNIT 2 STANDARDS Dear Parents, As we shift to Common Core Standards, we want to make sure that you have an understanding of the mathematics your child will be learning this year.
More informationReview of Basic Fraction Concepts
Review of asic Fraction Concepts Objective To review fractions as parts of a whole (ONE), fractions on number lines, and uses of fractions. www.everydaymathonline.com epresentations etoolkit lgorithms
More informationMULTIPLICATION. Present practical problem solving activities involving counting equal sets or groups, as above.
MULTIPLICATION Stage 1 Multiply with concrete objects, arrays and pictorial representations How many legs will 3 teddies have? 2 + 2 + 2 = 6 There are 3 sweets in one bag. How many sweets are in 5 bags
More informationU.S. Traditional Long Division, Part 1 Objective To introduce U.S. traditional long division.
Algorithm Project U.S. Traditional Long Division, Part 1 Objective To introduce U.S. traditional long division. www.everydaymathonline.com etoolkit Algorithms Practice EM Facts Workshop Game Family Letters
More informationThe HalfCircle Protractor
The Halfircle Protractor Objectives To guide students as they classify angles as acute, right, obtuse, straight, and reflex; and to provide practice using a halfcircle protractor to measure and draw
More informationCapacity. Assessment Management
Capacity Objective To review units of capacity. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards
More informationGrade 6 Math Circles. Multiplication
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Introduction Grade 6 Math Circles November 5/6, 2013 Multiplication At this point in your schooling you should all be very comfortable with multiplication.
More information1 Teaching the Lesson
Getting Started Mental Math and Reflexes Children solve division number stories. They write answers on slates and explain their strategies to the class. Provide counters. There are children in the class.
More informationMultiplying and Dividing Decimals ALPHA VERSION OCTOBER 2012 Grade 5
Multiplying and Dividing Decimals ALPHA VERSION OCTOBER 2012 Grade 5 Mathematics Formative Assessment Lesson Designed by Kentucky Department of Education Mathematics Specialists to be Fieldtested by Kentucky
More informationAssociative Property The property that states that the way addends are grouped or factors are grouped does not change the sum or the product.
addend A number that is added to another in an addition problem. 2 + 3 = 5 The addends are 2 and 3. area The number of square units needed to cover a surface. area = 9 square units array An arrangement
More informationRIT scores between 191 and 200
Measures of Academic Progress for Mathematics RIT scores between 191 and 200 Number Sense and Operations Whole Numbers Solve simple addition word problems Find and extend patterns Demonstrate the associative,
More informationYear Five Maths Notes
Year Five Maths Notes NUMBER AND PLACE VALUE I can count forwards in steps of powers of 10 for any given number up to 1,000,000. I can count backwards insteps of powers of 10 for any given number up to
More informationSaxon Math Home School Edition. September 2008
Saxon Math Home School Edition September 2008 Saxon Math Home School Edition Lesson 4: Comparing Whole Lesson 5: Naming Whole Through Hundreds, Dollars and Cent Lesson 7: Writing and Comparing Through
More informationVocabulary, Signs, & Symbols product dividend divisor quotient fact family inverse. Assessment. Envision Math Topic 1
1st 9 Weeks Pacing Guide Fourth Grade Math Common Core State Standards Objective/Skill (DOK) I Can Statements (Knowledge & Skills) Curriculum Materials & Resources/Comments 4.OA.1 4.1i Interpret a multiplication
More informationNUMBER CORNER YEARLONG CONTENT OVERVIEW
August & September Workouts Calendar Grid Quilt Block Symmetries Identifying shapes and symmetries Calendar Collector Two Penny Toss Probability and data analysis Computational Fluency Mental Math Fluently
More informationThe Crescent Primary School Calculation Policy
The Crescent Primary School Calculation Policy Examples of calculation methods for each year group and the progression between each method. January 2015 Our Calculation Policy This calculation policy has
More informationGrade 5 Math Content 1
Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.
More informationPatternBlock Fractions
Patternlock Fractions Objective To guide students as they find fractional parts of polygonal regions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationVocabulary Cards and Word Walls Revised: June 2, 2011
Vocabulary Cards and Word Walls Revised: June 2, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education,
More informationRoselle Math Curriculum Unit Title: 7 Multiplying and Dividing Decimals Grade: _5_. Common Core Standards, 2010
Essential Question(s) How do decimal numbers impact multiplication and division? Enduring Understanding(s) Decimals can be multiplied and divided in the same way as whole numbers. What strategies can be
More information