Ps20m.weebly.com



NYC Scope & Sequence5th grade Unit 1Place Value + Decimal Fractions (4 weeks 10%)interpretation of the standards and flip-book-The value of each place value either multiplies by 10 to the left or divides by 10 to right including 1/10, 1/100, 1/100-Explain the pattern where the decimal goes when you multiply a number by 10 or divide. Example: 10.46 Q: What happens to the decimal when you multiply by 10?A: The decimal goes to the right 1004.7Q: What happens when you divide by 10?A: The decimal moves to the left 1.047-Read & write multi-digit whole numbers to the millions using words, expanded form & number form: Power of 10 Example: 347.3923 x 100, + 4 x 10 + 7 x 1+ 3 x (1/10) 9 x (1/100) + 2 x (1/1000)Whole # Decimal #3 x 100 3 x (1/10)4 x 10 9 x (1/100)7 + 1 2 x (1/1000)(Two different color base 10’s blocks)-Rounding all place values whole numbers & decimals-Convert standard units of measurement (base-10) Example: liters, meters, grams, mili-, centi-, deci-, kilo-NYC Scope & Sequence5th grade Unit 1Whole Numbers + Decimal Fractions (4 weeks 10%)Curriculum & Extra Resources Singapore Math Unit 1 Whole Numbers (2 weeks)Pre-test & Chapter Opener1.1 Numbers to 10,000,000 (2 days)1.2 Place value1.3 Comparing Numbers to 10,000,0001.4 Rounding and Estimating (2 days)Problem SolvingChapter Wrap UpChapter AssessmentUnit 8 Decimals (1 week + 3 days)Pre-test & Chapter Opener8.1 Understanding Thousandths (2 days)8.2 Comparing and Rounding Decimals8.3 Rewriting Decimals as Fractions and Mixed NumbersProblem SolvingChapter Wrap UpChapter AssessmentUnit 3 Fractions and Mixed Numbers (1 day)3.4 Expressing Fractions, Division Expressions, and Mixed Numbers as DecimalsExemplars D1) Job Hunting (task107.pdf) - multi-step problem solving, add/sub, money/decimals - Tangram Money (task90.pdf) - multi-step problem solving, add/sub, money/decimalsD2) Holiday Fair (task376.pdf) - multi-step problem solving, subtraction, division, money/decimalsNYC Scope & Sequence5th Grade Unit 2Multi-Digit Whole Numbers & Decimal Fractions Operations(7 weeks 20%)interpretation of the standards and flip-book-Order of Operations using (parentheses), [brackets], & {braces}Example: 3 x (18,932 + 921) Answer is 3 x larger than what is in the parentheses by itself. Note: By just looking at you know that a) you have to add first b) Whatever the sum is your final answer is going to by 3x the sum.-The value of each place value either multiplies by 10 to the left or divides by 10 to right. -Multiplication & division whole numbers 4 digits by 2 digits Illustrate draw a picture and explain using equations, rectangular arrays &/or area models.-Multiply & divide decimals to the 100th place using concrete (manipulatives) models or drawings.-Relate the strategy used to a written explanation. NYC Scope & Sequence5th Grade Unit 2Multi-Digit Whole Numbers & Decimal Fractions Operations(7 weeks 20%)Curriculum & Extra ResourcesSingapore Unit 2 Whole Number Multiplication and Division (3 weeks + 1 day)Pre-test & Chapter Opener 2.2 Multiplying by Tens, Hundreds, or Thousands (3 days)2.3 Multiplying by 2-digit Numbers (2 days)2.4 Dividing by Tens, Hundreds, or Thousands (3 days)2.5 Dividing by 2-digit Numbers (2 days)2.6 Order of Operations2.7 Real World Problems - Multiplication and Division (2 days)Problem SolvingChapter Wrap UpChapter AssessmentUnit 9 Multiplying and Dividing Decimals (2 weeks + 4 days)Pre-test & Chapter Opener9.1 Multiplying Decimals (2 days)9.2 Multiplying by Tens, Hundreds, or Thousands (2 days)9.3 Dividing Decimals (2 days)9.4 Dividing by Tens, Hundreds, or Thousands (2 days)9.5 Estimating Decimals9.6 Real World Problems: DecimalsProblem SolvingChapter Wrap UpChapter AssessmentUnit 5 Algebra (1 week)5.1 Using Letters as Numbers5.2 Simplifying Algebraic Expressions5.4 Real World Problems: AlgebraExemplars D1) More for the Money (task110.pdf) - multiplication with decimals Penny a Day (task 74.pdf) - multiplying decimals Playground Fun (task62.pdf) - multiplying decimals, multi-step problem solvingD2) Got Milk? (task375.pdf) - multiplying decimals, multi-step problem solving Holiday Fair (task376.pdf) - multi-step problem solving, subtraction, division, money/decimalsD3) Jeff’s Marble Collection (task532.pdf) - multi-step problem solving, subtraction, division, money/decimals5th Grade Unit 3 Addition, Subtractions, Multiplication & Division of Fractions and Decimal Fractions4 weeks (15%)Order of Operations using (parentheses), [brackets], & {braces} Example: 3 x (18,932 + 921) Answer is 3 x larger than what is in the parentheses by itself. -Add & subtract fractions with unlike denominators including mixed numbers. Example:a c 2 4b + d = ? 3 + 5 = ?Formula: a x d + b x c b x d b x d 2 x 4 + 3 x 5 = 3 x 4 3 x 4 8 + 15 = 12 12 23 12Another way (using order of operations): (a x d + b x c) b x d2 x 4 + 3 x 5 3 x 4 8 + 15 12 23 12-Use formulas to solve adding & subtraction word problems.5th Grade Unit 3 Addition, Subtraction, Multiplication & Division of Fractions and Decimal Fractions4 weeks (15%)Interpret a fractions a is = to a divided by b bExample: If 9 people want to share a 50 pound sack of rice equally by weight. How many pounds of rice should each person get?Between what to whole numbers does your answer lie?--Convert standard measurement units meters, grams, Example: liters … milliliters, centiliters, deciliters, kiloliters-Make a line plot to display a set of measurements in fractions of unitsSingapore MathChapter 3 Fractions and Mixed Numbers - 6 days3.1 Adding Unlike Fractions3.2 Subtracting Unlike Fractions3.3 Fractions, Mixed Number, & Division Expression3.5 Adding Mixed Numbers3.6 Subtracting Mixed Numbers3.7 Real World Problems: Fractions and Mixed Numbers* Singapore is missing interpreting fractions on a graph/line plot - we only have 3 wks NY READYLesson 10 - Add and Subtract FractionsLesson 11 - Add and Subtract Fractions in Word ProblemsLesson 12 - Fractions as DivisionExemplarsD1) Deluxe Birthday Cake (task3.pdf) - add/sub Disappearing Cookies (task93.pdf) - add/sub Equal Snacks (task97.pdf) - equivalent Great Pizza Dilemma (task100.pdf) - equivalent Problem on the Prairie (task94.pdf) - equivalentD2) Dependable Parent Volunteers (task366.pdf) - add/sub fractions w/ different denominatorsD3) Feeling Hungry (task639.pdf) - add/sub w/ different denominators Lost Spinner (tsak641.pdf) - find the missing fraction, add/sub w/ different denominators Lugging Water (task533.pdf) - equivalent, add/sub w/ different denominators A Puzzle (task613.pdf) - add/sub w/ different denominators10363207524745th Grade Unit 4Extension & Applications of Multiplication & Division of Fractions & Decimal Fractions8 weeks (25%)-Multiply a fraction by a whole number OR another fraction - Multi. & divide like & unlike fractions with unlike denominators including mixed numbers.-Mulit a fraction by a whole number is the same as repeated addition of a fractionEx. 2 x 1 is the same as 1 & 1 4 4 4- a x q means making a into q equal parts, in a visual model and creating story context b b - Use the formula a c a x c to multiply a fraction times another fraction b X d = b x d Singapore Math Chapter 4 - 2 weeks4.1 Multiplying Proper Fractions4.2 Real World Problems: Multiplying with Proper Fractions4.3 Multiplying Improper Fractions by Fractions4.4 Multiplying Mixed Numbers and Whole Numbers4.5 Real World Problems: Multiplying with Mixed Numbers4.6 Dividing a Fraction by a Whole Number4.7 Real World Problems: Multiplying and Dividing with FractionsNY READYLesson 13 - Understand Products of FractionsLesson 14 - Multiply Fractions Using an Area ModelLesson 15 - Understand Multiplication as ScalingLesson 16 - Multiply Fractions in Word ProblemsLesson 17 - Understand Division with Unit FractionsLesson 18 - Divide Unit Fractions in Word ProblemsUnit 2 Interim Assessment?5th Grade Unit 4Extension & Applications of Multiplication & Division of Fractions & Decimal Fractions8 weeks (25%)-Multiply a fraction by a whole number OR another fraction - Multi. & divide like & unlike fractions with unlike denominators including mixed numbers.-Mulit a fraction by a whole number is the same as repeated addition of a fractionEx. 2 x 1 is the same as 1 & 1 4 4 4- a x q means making a into q equal parts, in a visual model and creating story context b b - Use the formula a c a x c to multiply a fraction times another fraction b X d = b x d Singapore Math Chapter 4 - 2 weeks4.1 Multiplying Proper Fractions4.2 Real World Problems: Multiplying with Proper Fractions4.3 Multiplying Improper Fractions by Fractions4.4 Multiplying Mixed Numbers and Whole Numbers4.5 Real World Problems: Multiplying with Mixed Numbers4.6 Dividing a Fraction by a Whole Number4.7 Real World Problems: Multiplying and Dividing with FractionsNY READYLesson 13 - Understand Products of FractionsLesson 14 - Multiply Fractions Using an Area ModelLesson 15 - Understand Multiplication as ScalingLesson 16 - Multiply Fractions in Word ProblemsLesson 17 - Understand Division with Unit FractionsLesson 18 - Divide Unit Fractions in Word ProblemsUnit 2 Interim Assessment? ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download