1 / 17

A Grade-by-Grade Progression of “A Story of Units”

A Grade-by-Grade Progression of “A Story of Units”. Scott Baldridge Common Core August 14, 2012 Part 2 of 2 (Grades 3 – 5). Third Grade. Module 1: Rounding and word problems PV  Comparison  Rounding  Bar Models Place value units: 534 = 5 hundreds 3 tens 4 ones

Download Presentation

A Grade-by-Grade Progression of “A Story of Units”

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. A Grade-by-Grade Progression of “A Story of Units” Scott Baldridge Common Core August 14, 2012 Part 2 of 2 (Grades 3 – 5)

  2. Third Grade • Module 1: Rounding and word problemsPVComparisonRoundingBar Models • Place value units: • 534 = 5 hundreds 3 tens 4 ones = 53 tens 4 ones = 5 hundreds 34 ones • 6 tens = 6 x 10 = 60

  3. Third Grade • Module 2 and Module 4 • Module 5: Multiplication and Area Module 2: ×/÷ by 2, 3, 4, 5, 10 Module 3: Measurements Module 4: ×/÷ by 6, 7, 8, 9 Module 5: Area

  4. Third Grade • 0 • 0 • 1 • 1 • 2 • 2 • 3 • 3 • 1 third • 1 three A “three” unit A “third” unit

  5. Third Grade • Count by: 1 third, 2 thirds, 3 thirds, … • Equivalent fractions as unit conversion: • 3 tens = 30 ones • 2 thirds = 4 sixths • Module 7: Quadrilaterals and Perimeter

  6. Fourth Grade Module 1: “Big” units and the addition/subtraction algorithms Module 2: Converting metric units—An opportunity to practice mental math and the algorithms!4 × (1 m 2 cm) = 4 m 8 cm 4 × (1 ten 2 ones) = 4 tens 8 ones, leading to the 1-digit multiplication algorithm of Module 3

  7. Fourth Grade Module 4: Geometry is one of the keys that unlocks Algebra

  8. Fourth Grade • Module 5: Fraction operations • 3 fourths x 10 = 30 fourths(3 apples x 10 = 30 apples, 3 tens x 10 = 30 tens) • Decimals are a type of fraction, 0.1 = 1/10, but is treated like every other type of unit:30 hundredths = 3 tenths

  9. Fourth Grade The last module explores multi-digit multiplications, anticipating the full algorithm in grade 5

  10. Fifth Grade Module 1: Decimal number operations: Students practice and hone their 1-digit algorithms in the context of decimal numbers.

  11. Fifth Grade Module 2: All other algorithms are employed in dividing by 2-digit numbers, either in the process or the checking of the answer. Division by a 2-digit number includes estimation strategies, error correction, and successive approximation

  12. Fifth Grade Fraction arithmetic is modeled through the use of number lines and area models Place value also helps:8 ninths ÷ 2 = 4 ninths8 tenths ÷ 2 = 4 tenths

  13. Fifth Grade Bar models start to bloom:

  14. Fifth Grade • Module 5: Area and Volume • Continue to practice ×/÷ of fractions using area problems as the context • Can begin to ask the question: How does area (or volume) change when a rectangle is scaled by a whole number or fractional scale factor?

  15. Fifth Grade • Coordinate plane follows a PK-6 curriculum sequence:“Number Stairs”BarGraphsLinePlotsLine Graphs • Last module knocks on the door of “slope”, leading to…

  16. A Story of Ratios

  17. Finish!

More Related