Math Is More Than Luck

April 9, 2015

Yes, the Right Answer is

Important…But the Thinking Behind the Math is

More Important.

Common Core Standards

Developing understanding of multiplication and division and strategies for multiplication and division within 100

Developing understanding of fractions, especially unit fractions (fractions with numerator 1)

Developing understanding of the structure of rectangular arrays and area

Describing and analyzing two-dimensional shapes

Standards for Mathematical Practice

Make sense of problems and 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.

Addition and Subtraction

Change problems – JOIN and SEPARATE

PART PART WHOLE problems

COMPARE Problems

Multiplication and Division

EQUAL GROUPS problems

AREA problems

COMBINATION problems

COMPARISON problems

Multiplication and Division Within 100

Equal-sized groups, arrays and area models

Finding the unknown factor or product with single digit factors

Properties of Operations

Using a variety of solutions strategies

Understanding that multiplication and division are inverse operations

Math Fluency Is Just as Important as Reading

Fluency

Rectangular Arrays and Area

Measure the area of two dimensional by covering the shape with squares without gaps or overlaps

Rectangular arrays can be decomposed into rows and columns

Justify using Multiplication to determine the area of a rectangle.

Areas of SpaceDown on the Farm Project,

Designing Rooms, Map Skills

Math ManiaUse this page on my website as a resource for

some of the best websitesStudy Jams, iXL, Kahn Academy, jmathpage,

Math Playground

http://www.harman3w.com/math-mania.html

Fractions

View Unit Fractions as the Building Blocks

Visual Fraction Models to represent parts of a whole

Size of the fractional part is relative to the size of the whole (1/2 of one item could be smaller than 1/6 of another item)

Represent numbers equal to, less than and greater than one

Using a number line to represent a fraction of 1

Fractions and Food

Hersheys, Twizzlers, Cookies, Pizza

Two-Dimensional Shapes

Describe, Compare, Analyze properties of two-dimensional shapes

Compare and classify sides, angles and other attributes

Express the area of part of a shape as a unit fraction of the whole

Geometry in Our World

Keynote Photograph Project, Artwork, Discovering Attributes

with Manipulatives