elementary math instruction

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