GACS 4th Grade Pacing Guide Mathematics GLCE GLCE Code Expectation Strand 1 Number & Operations Understand and use number notation and place value Read and write numbers to 1,000,000; relate them to the quantities they represent; compare and order. N.ME.04.01 District Curriculum Instructional Materials Additional Activities/ Resources First MP Chapter One Cookie Dough Number Sense and Numeration The Number Game First MP N.ME.04.02 Compose and decompose numbers using place value to 1,000,000. First MP Chapter One Arithmetic Properties PBS Kids: Cyberchase N.ME.04.03 Understand the magnitude of numbers up to 1,000,000; recognize the place values of numbers and the relationship of each place value to the place to its right. First MP Chapter One Kids Center Saloon Snap AAA Math Number Time Quia Math Commutative Property of Addition First MP Edhelper worksheets in binder http://www.aaamath.com/ g57f-findafactor.html Factoring game http://www.math.com/sch ool/subject1/lessons/S1U 3L1GL.html N.ME.04.04 N.ME.04.05 N.MR.04.06 N.MR.04.07 N.FL.04.08 N.ME.04.09 N.FL.04.10 N.FL.04.11 Use factors and multiples Find all factors of any whole number through 50, list factor pairs, and determine if a one-digit number is a factor of a given whole number. List the first ten multiples of a given one-digit whole number; determine if a whole number is a multiple of a given one-digit whole number. Know that some numbers including 2, 3, 5, 7, and 11 have exactly two factors (1 and the number itself) and are called prime numbers. Use factors and multiples to compose and decompose whole numbers. Add and subtract whole numbers Add and subtract whole numbers fluently. Multiply and divide whole numbers Multiply two-digit numbers by 2, 3, 4, and 5 using the distributive property. Multiply fluently any whole number by a one-digit number and a three-digit number by a two-digit number; for a two-digit by a one-digit multiplication use distributive property to develop meaning for the algorithm. Divide numbers up to four-digits by one-digit numbers and by 10. First MP Displaying Number Patterns First MP Number Cracker First MP Promethean Flipchart Boo http://www.2learn.org/fac tors.html Math Frog First MP Review Chapter 2 A+ Math Games - Matho Math Games Math Baseball Properties of Additon Gamesroom: Bugrace First MP Chapter 3 Second MP Chapter 5,6 http://www.mathdrills.com/multiplication.s html (worksheets) http://www.aaamath.com/ B/mul.htm#topic13 Third MP Chapter 8 http://www.mathdrills.com/division.shtml (worksheets) Math Baseball Math Football GACS 4th Grade Pacing Guide Mathematics GLCE http://www.mathdrills.com/algebra.shtml (worksheets) Kids Math SyvumBook Level II Multiply&Divide N.FL.04.12 Find the value of the unknowns in equations. Third MP Chapter 8 N.FL.04.13 Use the relationship between multiplication and division to simplify computations and check results. Solve contextual problems involving whole number multiplication and division. Read, interpret and compare decimal fractions. Read and interpret decimals up to two decimal places; relate money and place value decomposition. Third MP Chapter 8 Third MP Chapter 8 Quia: Story Problems with Mixed Practice Fourth MP Chapter 10 Fourth MP Chapter 10 http://www.nassauboces.o rg/cit/vls/lectora/early_ma th/main.html (Choose Chapter 3 and then the lesson you would like to do) PBS Kids: Cyberchase http://www.toonuniversit y.com/flash.asp?err=198 District Curriculum Fourth MP Instructional Materials Chapter 10 Fourth MP Chapter 10 Fourth MP Chapter 10 http://www.amblesidepri mary.com/ambleweb/men talmaths/fracto.html http://arcytech.org/java/fr actions/ (fraction bar) Fourth MP Chapter 9 Cookies for Grampy http://arcytech.org/java/fr actions/ (fraction bar) Identify Fractions with Circles N.FL.04.14 N.ME.04.15 N.ME.04.16 GLCE Code Know that terminating decimals represent fractions whose denominators are 10, 10x!0, 10x10x10, e.g., powers of 10. Expectation N.ME.04.17 Locate tenths and hundredths on a number line. N.ME.04.18 Read, write, interpret, and compare decimals up to two decimal places. Write tenths and hundredths in decimal and fraction forms, and know the decimal equivalents for halves and fourths. N.MR.04.19 N.ME.04.20 Understand fractions Understand fractions as parts of a set of objects. Additional Activities/ Resources http://www.mathsonline.c o.uk/freesite_tour/resourc e/whiteboard/decimals/de c_notes.html (works great on the whiteboard) N.MR.04.21 Explain why equivalent fractions are equal, using models such as fraction strips or the number line for fractions with denominators or 12 or less, or equal to 100. Fourth MP Chapter 9 http://www.funbrain.com/ cgibin/fob.cgi?A1=s&A2=0 http://arcytech.org/java/fr actions/ (fraction bar) N.MR.04.22 Locate fractions with denominators of 12 or less on the number line; include mixed numbers. Understand the relationships among halves, fourths, and eighths and among thirds, sixths, and twelfths. Fourth MP Chapter 9 http://www.visualfracti ons.com/compare.htm Fourth MP Chapter 9 Know that fractions of the form m/n where m is greater than n, are greater than 1 and are called improper fractions; locate improper fractions on Fourth MP Chapter 9 http://money.howstuffwor ks.com/personalfinance/mathtutoring/equations/equatio ns-one-term-on-side.htm (Video) http://www.visualfraction s.com/FindGrampy.html http://www.mrnussbaum. com/icecream/index.html http://www.homeschoolm ath.net/worksheets/fractio n-b.php (worksheets) N.MR.04.23 N.MR.04.24 GACS 4th Grade Pacing Guide Mathematics GLCE N.MR.04.25 N.MR.04.26 N.MR.04.27 N.MR.04.28 N.MR.04.29 N.MR.04.30 N.MR.04.31 GLCE Code N.FL.04.32 the number line. Write improper fractions as mixed numbers, and understand that a mixed number represents the number of “wholes” and the part of a whole remaining. Compare and order up to three fractions with denominators 2, 4, and 8, and 3, 6, and 12, including improper fractions and mixed numbers. Add and subtract fractions Add and subtract fractions less than 1 with denominators through 12 and/or 100, in cases where the denominators are equal or when one denominator is a multiple of the other. Solve contextual problems involving sums and differences for fractions where one denominator is a multiple of the other (denominators 2 through 12, and 100). Find the value of an unknown in equations. Multiply fractions by whole numbers Multiply fractions by whole numbers, using repeated addition and area or array models. Add and subtract decimal fractions For problems that use addition and subtraction of decimals through hundredths, represent with mathematical statements and solve. Expectation Add and subtract decimals through hundredths. Fourth MP Chapter 9 http://www.mrnussbaum. com/icecream/index.html http://www.homeschoolm ath.net/worksheets/fractio n-b.php (worksheets) http://www.visualfraction s.com/MixtoFrac.html Fourth MP Chapter 9 http://www.mrnussbau m.com/icecream/index. html http://www.homeschoo lmath.net/worksheets/f raction-b.php (worksheets) http://www.visualfracti ons.com/ http://www.visualfracti ons.com/worksheets/co mpare.pdf (slide show) Fourth MP Chapter 9 Fourth MP Chapter 9 http://www.aaamath.com/ equ.html Fourth MP Chapter 9 Multiply Fractions Multiply and Divide Fractions http://videos.howstuffwor ks.com/mathmastery/36486-how-tomultiply-fractionsvideo.htm (Video) http://videos.howstuffwor ks.com/mathmastery/36487multiplying-fractions-bywhole-numbersvideo.htm (Video) Fourth MP Chapter 10 Gamesroom: Bugrace District Curriculum Fourth MP Instructional Materials Chapter 10 Additional Activities/ Resources http://money.howstuffwor ks.com/personalfinance/mathtutoring/decimals-andpercents/adding-andsubtracting-decimalnumbers-basics.htm (Video lesson) GACS 4th Grade Pacing Guide Mathematics GLCE N.FL.04.33 N.FL.04.34 N.FL.04.35 N.FL.04.36 Strand 3 M.UN.04.01 M.PS.04.02 M.UN.04.03 M.TE.04.04 M.TE.04.05 M.TE.04.06 M.TE.04.07 M.TE.04.08 M.PS.04.09 M.TE.04.10 M.TE.04.11 Multiply and divide decimal fractions Multiply and divide decimals up to two decimal places by a one-digit whole number where the result is a terminating decimal. Estimate Estimate the answers to calculations involving addition, subtraction, or multiplication. Know when approximation is appropriate and use it to check the reasonableness of answers; be familiar with common place-value errors in calculations. Make appropriate estimations and calculations fluently with whole numbers using mental math strategies. Measure using common tools and appropriate units Measure using common tools and select appropriate units of measure. Give answers to a reasonable degree of precision in the context of a given problem. Measure and compare integer temperatures in degrees. Measure surface area of cubes and rectangular prisms by covering and counting area of the faces. Convert measurement units Carry out the following conversions from one unit of measure to a larger or smaller unit of measure (using numbers that involve only simple calculations). Use perimeter and area formulas Know and understand the formulas for perimeter and area of a square and a rectangle; calculate the perimeters and areas of these shapes and combinations of these shapes using the formulas. Find one dimension of a rectangle given the other dimension and its perimeter and area. Find the side of a square given its perimeter or area. Solve contextual problems about perimeter and area of squares and rectangles in compound shapes. Understand right angles Identify right angles and compare angles to right angles. Problem-solving Solve contextual problems about surface area. Fourth MP Chapter 10 http://videos.howstuffwor ks.com/hsw/9055discovering-math-battingaverages-video.htm (Video) All Year Throughout textbook lessons Throughout textbook lessons Estimating Representation and Uses of Numbers All Year All Year Throughout textbook lessons Second MP Chapter 7 Second MP Chapter 7 Second MP Chapter 7 Chapter 11 Second MP Chapter 7 Third MP Chapter 11 Third MP Chapter 11 Third MP Chapter 11 Third MP Chapter 11 Third MP Chapter 11 http://www.toonuniversit y.com/flash.asp?err=200 GACS 4th Grade Pacing Guide Mathematics GLCE GLCE Code Expectation Strand 4 Geometry Understand basic geometric shapes and their components, and solve problems. Identify and draw perpendicular, parallel, and intersecting lines using a ruler and a tool or object with a square (90°) corner. Identify basic geometric shapes and their components, and solve problems. Identify basic geometric shapes including isosceles, equilateral, and right triangles, and use their properties to solve problems. Identify and count the faces, edges, and vertices of basic three-dimensional geometric solids including cubes, rectangular prisms, and pyramids; describe the shape of their faces. Recognize symmetry and transformations Recognize plane figures that have line symmetry. Recognize rigid motion transformations (flips, slides, turns) of a two-dimensional object. Data and Probability Represent and solve problems for given data Construct tables and bar graphs from given data. G.GS.04.01 G.GS.04.02 G.GS.04.03 G.TR.04.04 G.TR.04.05 Strand 4 D.RE.04.01 District Curriculum Instructional Materials Third MP Chapter 11 Third MP Not in Text Third MP P. 460 text Need More Third MP Chapter 11 Third MP Chapter 11 Second MP Chapter 4 D.RE.04.02 Order a given set of data, find the median, and specify the range of values. Second MP Chapter 4 D.RE.04.03 Solve problems using data presented in tables and bar graphs, e.g. compare data represented in two bar graphs and read bar graphs showing two data sets. Second MP Chapter 4 Additional Activities/ Resources http://pbskids.org/cyberch ase/games/bargraphs/barg raphs.html (with worksheet) http://videos.howstuffwor ks.com/mathmastery/36747-findingthe-median-video.htm (Video)