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COMMON Core

COMMON Core. The Story of Units. Abbreviation. CC – counting and cardinality OA – operations and algebraic thinking MD – measurement and data G – geometry NBT – numbers in base ten NF – numbers and operations – fractions RP – ratios and proportions NS – number system

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COMMON Core

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  1. COMMON Core The Story of Units

  2. Abbreviation • CC – counting and cardinality • OA – operations and algebraic thinking • MD – measurement and data • G – geometry • NBT – numbers in base ten • NF – numbers and operations – fractions • RP – ratios and proportions • NS – number system • EE – expressions and equations • SP – statistics and probability

  3. Instructional shifts • Shift 1: Focus • Shift 2: Coherence • Shift 3: Fluency • Shift 4: Deep understanding • Shift 5: Application • Shift 6: Dual intensity (practicing and comprehending)

  4. Example from Grade KModule 1: Numbers to 10 • CLUSTER: COUNT TO TELL THE NUMBER OF OBJECTS • K.CC.4 (standard) • Understand the relationship between numbers and quantities; connect to cardinality. 1 2 3 4 5

  5. Example from grade 1Module 6: Place value, comparison, Addition and subtraction to 100 • CLUSTER: USE PLACE VALUE UNDERSTANDING AND PROPERTIES OF OPERATIONS TO ADD AND SUBTRACT • 1.NBT.6 (standard) • Subtract multiples of 10 from multiples of 10 (positive or zero differences) using concrete models or drawings and strategies based on place value

  6. Example from Grade 2Module 8: Time, shapes, and fractions as equal parts of shapes • CLUSTER: REASON WITH SHAPES AND THEIR ATTRIBUTES • 2.G.3 (standard) • Partition circles and rectangles into two, three, or four equal shares ... • Recognize that equal shares of identical wholes need not have the same shape.

  7. Example from grade 3Module 7: Geometry and Measurement word problems • CLUSTER: GEOMETRIC MEASUREMENT • 3.MD.8 (standard) • Solve real world and mathematical problems involving perimeters of polygons ... and exhibiting rectangles with the same perimeter and different areas of with the same area and different perimeters.

  8. Example from grade 4Module 7: Exploring multiplication • CLUSTER: USE THE FOUR OPERATIONS WITH WHOLE NUMBERS TO SOLVE PROBLEMS • 4.OA.2 (standard) • Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations ... distinguishing multiplicative comparison from additive comparison. • For a $12-book Jim needs three times as much money as he has now. How much money does he have? Additive comparison: For an $8-book Bob needs $3 more dollars than he has now.

  9. Example from grade 5Module 1: Place value and decimal fractions CLUSTER: PERFORM OPERATIONS WITH ... DECIMALS TO HUNDREDS • 5.NBT.7 (standard) • Add, subtract, multiply, and divide decimals to hundreds, using concrete models or drawings and strategies based on place value, properties of operations ... 0.4÷0.2=2 0.4×0.2=0.08

  10. Example from grade 5Module 3: Addition and subtraction of fractions • CLUSTER: USE EQUIVALENT FRACTIONS AS A STRATEGY TO ADD AND SUBTRACT FRACTIONS • 5.NF.2 (standard) • Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. • Estimate 3/7 using unit fractions as benchmark fractions. • 3/7 < 3/6 = 1/2 • 3/7 > 2/6 = 1/3 • Therefore, 1/3 < 3/7 < 1/2

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