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Darien K-5 Math Instruction. Outline. Students will use models make conjectures c ritique and apply the reasoning of others p ersevere s hare strategies k now their facts p rove their thinking u se tools appropriately. Improving Instructional Practice Landscape of Learning.

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Presentation Transcript
outline
Outline
  • Students will
    • use models
    • make conjectures
    • critique and apply the reasoning of others
    • persevere
    • share strategies
    • know their facts
    • prove their thinking
    • use tools appropriately
improving instructional practice landscape of learning
Improving Instructional Practice Landscape of Learning
  • Subitizing – recognize a set of 5 objects as 5 w/o counting
  • Magnitude/Comparenumbers - five is more than four
  • Cardinality- The oral namefor a set of five things – five
  • Counting on - trusting the count
  • Compensation - 2+3 =1 + 4
  • Conservation - 5 dots , regardless of arrangement, is still 5
  • Composing and decomposing - a set of 5 objects can be separated into a set of 2 objects and a set of 3 objects,
  • Unitizing - -concept of place value
math rack
Math Rack
  • The math rack helps children: subitize, add subtract, and learn the five and ten structures.
warm up string on the math rack
Warm up String on the Math Rack
  • 5 top, 5 bottom
  • 6 top, 4 bottom
  • 9 top, 1 bottom
  • 9 top, 6 bottom
  • 8 top, 7 bottom
  • 6 top, 9 bottom
  • 5 top, 10 bottom
slide6

A ruler is an example of a number line.

1 cm = 0.39 inches

1 inch = 2.54 cm

improving instructional practice warm up string
Improving Instructional Practice Warm-up String

20

60 80

2 50

28 30 80

60+20

30+50

28+52

32+48

33+47

98+42

97+34

improving instructional practice cflm units of study
Improving Instructional Practice CFLM Units of Study
  • Provide a real life context for examining math concepts
  • Group work is adjusted to ability levels
  • Teacher confers while students work
  • Gallery Walk-students share work & feedback
  • Math Congress-discuss work completed
improving instructional practice 2 nd gr unit the t shirt factory
Improving Instructional Practice 2nd Gr. Unit–The T-Shirt Factory
  • The Masloppy’s help Grandma Eudora organize the t-shirts in a T-Shirt Business
  • Students work in groups (companies with factories) organizing their warehouse to sell T-shirts.
  • The math focus is place value, regrouping, equivalence, and recording inventory
improving instructional practice 2 nd grade unit the t shirt factory
Improving Instructional Practice 2nd Grade Unit – The T-Shirt Factory
  • Students organize t-shirts into rolls of 10 and loose singles (place value)
  • Teacher hands out cards with numbers of shirts to organize; option to use hangers to represent shirts. Students chart results.
  • Eudora Factory
warm up multiplication string facts on an array
Warm-up Multiplication StringFacts on an Array

10

3

9

3

3 X 1

3 X 9

10 X 8

9 X 8

10 X 7

9 X 7

6 X 9

warm up division string facts on an array
Warm-up Division StringFacts on an Array

7

7

7

28

28 /7

70 /7

98 /7

168 /7

170 /17

187 /17

340 /17

357 /17

70

70

28

multiplying polynomials
Multiplying Polynomials

(x + 3)

= x2 + (2x + 3x) + 6

= x2 + 5x + 6

(x + 2)

Model the dimensions (factors) of the rectangle

Fill in each section of the area model

Combine like terms and

write in standard form

ccss standards of math practice
CCSS Standards of math practice
  • Make sense of problems & persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.