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 Space
Down on the Farm Project, Designing
Rooms, Map Skills
http://www.harman3w.com/math-mania.html
Math Mania
Use this page on my website as a resource for some
of the best websites
Study Jams, iXL, Kahn Academy, jmathpage, Math
Playground
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