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Fourth Grade Key Learning – Big Ideas Can be used in conjunction with SBRC PLANNING GRID Land mark 1 Skill Topic Estimate and round numbers through the millions PV charts Tool 4 2,12 NS 1.3 2 Identify pos. and neg. integers on a number line Use the concept of negative numbers NS 1.8 RUSD/ revised SDUSD 11_2010 Suggestions for Mastery 14 Looks like: Round to the nearest hundred thousand Center Activity 7,563,330 Review rounding song (Gr. 3 Tpc. 2 opener) Make sure they understand the What two multiples does the number fall between? -Incorporate money that you earn/owe -TemperatureTool 29 -Number lines- Tool 8 Do activity on p. 18-19 of It’s a Big Country (Worldscapes) -Play “War” with a standard deck of cards. Shuffle and deal face down. Reds are negative, blacks are positive. Sounds like: “7,563, 330 falls between 7, 560,000 and 7, 570,000.” “The halfway point is 7,565,000.” “It is closer to 7,560,000.” “It is -4 degrees, and warms up 10 degrees. It is now 6 degrees.” (Keep on Math Wall) Track daily temp, table points, etc. I have 6 dollars but owe my brother 10. After I give him 6, I’ll still owe 4 dollars more. Page 1 Fourth Grade Key Learning – Big Ideas 3 Multiply 2-digit by 2-digit numbers (Standard is 2 digit by mulidigit) NS 3.3 4 Add/Subtract decimals to the hundredths place. RUSD/ revised SDUSD 11_2010 Can be used in conjunction with SBRC PLANNING GRID Area Model 24x24= Area Model x 20 4 Teaching tool 11 20 400 80 and 24 4 80 16 Find sum 400+80+80+16= 576 6 Partial products Partial Products 24 (reinforces place x 24 value) 16 (4 x4) 80 (4x 20) Keep an area model 80 (20 x 4) posted on Math + 400 (20x20) Wall. 576 12 -Use money -Use lined paper horizontally to line up columns/ decimals -Teach Tool 24 -Teaching Tool 9 graph paper “Four groups of four is sixteen. Four groups of twenty is eighty. Twenty groups of four is also eighty. Finally, 20 groups of 20 is 400. When I add these products all together I get 576.” Use sentence frames for Writing to Explain. “25 cents is 25 hundredths of a dollar.” “I must line up the decimals so that I can add tenths to tenths and hundredths to hundredths.” Page 2 Fourth Grade Key Learning – Big Ideas 5 Commit to memory and apply divisibility rules of 2,5, and 10 6 -Identify fractions on a number line -Write fractions as decimals to ½’s and ¼’s -write fractions in simplest form -find equivalent fractions Halves, fourths, eighths 7 Thirds, sixths, and twelfths Fifths and tenths Can be used in conjunction with Use hundreds chart-Teaching tool 6 7 Prime and composite numbers SBRC PLANNING GRID A number is divisible by: 2- if the dividend ends in an even # 5-if the dividend ends with 5 or 0 10- if the dividend ends with a0 Teaching tool 24 11 “½= .5 or five tenths ¼= .25 or twenty five hundredths” Use number lines and rulersTeaching tool 8 Reinforce benchmark fractions Fraction Stripsstudents can make their own 9 -Distribute various number from 1-100 and ask if it is divisible by 2,5,10 -Use calendar to determine which dates are divisible by 2,5,10 “I know that 2/4 and ½ are equivalent fractions because they describe the same part.” Reinforce by using a ruler to create strips (1/4 of 12 inches is 3 inches.) Teacher tools 22/23/24 Use pattern blocks pattern blocks RUSD/ revised SDUSD 11_2010 Page 3 Fourth Grade Key Learning – Big Ideas 8 9 -Know prime factorization to 25 -Memorize prime numbers to 25 Can be used in conjunction with -Prime numbers have only two factors -Sieve of 7 Eratosthenes for Prime Numbersteaching tool 6 -Factor trees Introduce “factors” in Topic 3 multiplication Reinforce vocab. -Plot points on a 17 coordinate plane -Know the 4 quadrants of the coordinate planeKnow (x,y) x is the horizontal coordinate (Right or left) y is the vertical coordinate (up or down) RUSD/ revised SDUSD 11_2010 -Teaching tool 17 from 5th grade -Teaching tool 12 Post 4 quadrant graph early in the year. Sponge activity: “I’m thinking of a place on the graph that is ___over and ____up/down.” (x first, then y) SBRC PLANNING GRID “Prime numbers only have themselves and one as factors.” Prime factorization is 2 x 2 x 2x3 Build arrays- single rows are prime numbers Point G is at (2,4). Beginning at zero, I move over 2 and up 4 to find G. “Superman walked Before he could fly That’s why X Comes before Y.” Page 4 Fourth Grade Key Learning – Big Ideas Classify angles and triangles Can be used in conjunction with SBRC PLANNING GRID 8 Teaching tool 32 Reinforce vocabulary 10 Equate to first name and surname 11 -Know the order of operations for solving expressions and equations -know 3t means to multiply 5,13,18 12 -Express the outcome of an event as a ratio 20 See math background in13 Do multiple examples: 102- 5 x6 = 70 Use gestures -Use dice, cards, coins, counters -Teaching tool 19 -WorldScape: It’s a Big Country -Tree diagrams “The red triangle has equal sides and all angles less than 90 degrees. It is equilateral and acute.” “The yellow triangle has no equal sides and a right angle. It is scalene and right.” 1. 2. 3. 4. Parenthesis ( ) Exponents y2 X or ÷ from L to R + or - from L to R How many possible outcomes when two number cubes are tossed? Sentence Frame: First, solve ______________ Then, solve _______________ Next, ____________________ Last, _____________________ Out of 5 spins, 3 came up orange. 3 out of 5 were orange. Numerical: 3/5 General Activity Suggestions: Language of Math “Period Games” at Topic opener Create while boards using cardstock, templates and Use Worldscapes as “may dos” page protectors Copy Home/School connection with Math Look at and utilize Item Analysis for Diagnosis & Intervention found at Background on back-send home back of each topic Use problem solving sheet in teacher tools Use Topic test, Form A, as a pre-test or ExamView RUSD/ revised SDUSD 11_2010 Page 5 Fourth Grade Key Learning – Big Ideas Can be used in conjunction with SBRC PLANNING GRID Use Problem Solving Handbook from Topic 1 Keep text closed during Visual learning bridge Box of manipulatives at each table Mindpoint Quiz Show- even w/o tech divide into teams Game center for review of past concepts Pacing guide is a guide Use center activities Separate the vocabulary cards into topics for better access Print vocaby from e-glossary and use for math wall Use Ca math project for differentiation RUSD/ revised SDUSD 11_2010 Page 6