Elementary Math InstructionLaurel Lynch, Math CoachMay 1, 2014

Counting

K-2 3-5

•Count forward by ones to 100

•Skip count by 2, 5, 10

•Count backward

Place Value

K-2 3-5

•Group objects into tens and ones

•Compare three-digit numbers

•Compare whole numbers through millions

•Round whole numbers through the millions

•Round decimal through thousandths (5th)

Mental Computation

K-2 3-4

Addition/Subtraction through 20 Multiplication/Division through 144

Computation with Fractions & Decimals

K-2 3-5

•Add/Subtract fractions with like denominators

•Add/Subtract fractions with unlike denominators

•Add/Subtract decimals

•Add/Subtract/Multiply/Divide decimals

Math Properties

K-2 3-5

Identify the commutative, identity, associative, distributive properties

Money

K-2 3

•Identify each coin and value

•Determine value of collection of coins

•Count/compare collection of coins with value of $2.00 or less

•Determine value of collection of coins and bills ($5.00 or less)

•Make change

Time

K-2 3-5

•Tell time to the hour

•Tell time to the half-hour

•Tell & write time to nearest 5 minutes

•Tell time to nearest minute

•Determine elapsed time

Data

K-2 3-5

•Show data using object graphs, picture graphs, tables, pictographs, bar graphs

•Describe the data

•Collect and organize data using line plots, picture graphs, bar graphs, stem-and-leaf plots, line graphs

•Interpret the data

Measurement

K-2 3-5

•Identify various instruments

•Measure using non-standard units

•Estimate and measure length, weight, and liquid volume

•Estimate and measure length, weight/mass, and liquid volume using Customary and Metric units

•Estimate and measure area and perimeter

•Identify equivalent measurements

•Identify appropriate measurements and units

Geometry

K-2 3-5

•Sort and describe shapes

•Compare and contrast shapes

•Compare and contrast 2-D & 3-D shapes

•Describe lines, angles, rays, line segments, points

•Congruence

•Transformations

Algebra/Patterns

K-2 3-5

•Describe and extend repeating and growing patterns

•Describe and extend patterns using numbers, tables, and pictures

•Create and extend numerical and geometric patterns

•Describe and express the relationship in a number pattern

Problem Solving• Rigorous tasks (Exemplars)

• Work Collaboratively

• Work Efficiently

• Evaluate and adjust thinking

• Communicate (oral and written)

• Multiple Strategies

Exemplar ExamplesPeter loves ice cream. He went to

the store to buy an ice cream snack. They had strawberry, chocolate, and vanilla ice cream. He could have a bowl or a cone. How many different ways could Peter have ordered his ice cream?

I love M&M cookies! I decided to bake a batch. I put a bag of M&M’s, 45 in all, into my batter and baked a dozen cookies. Each cookie had at least 3 M&M’s and not more than 5. What are the different possible combinations of M&M’s?

Building Confidence & Success• Master Basic Facts

• Flexible Thinking & Connections

• Celebrate a Mathematician

• Adopt a more math-centric vocabulary

• Weave math into everyday activities

• Let them be the experts

Resources• Bedtime Math

• Books to pique interest in math– Miss Lina’s Ballerinas, Grace Maccarone

– Iggy Peck, Architect & Rosie Revere, Engineer, Andrea Beaty

– The Puzzling World of Winston Breen, Eric Berlin

– The Boy Who Loved Math: The Improbable Life of Paul Erdos, Deborah Heiligman

– Great Estimations & That’s A Possibility!, Bruce Goldstone

– The Grapes of Math, Math for All Seasons, etc, Greg Tang

– www.gregtangmath.com

Resources• Math Expressions

– http://www.apsva.us/Page/22308

• Nottingham iPad Apps– http://www.apsva.us/Page/24518

• Arlington County Math Department– http://www.apsva.us/Page/17768

Questions?

Laurel Lynchlaurel.lynch@apsva.us