### Why Choose Us?

- We limit the scope of each workshop to specific Common Core State Standards and Principals and Standards of School Mathematics to insure an in-depth understanding of concepts and transfer of knowledge to the class-room.
- We guarantee the outcomes identified in each workshop description through research-validated methods and materials.
- Materials are field tested and mapped to Principles and Standards for School Mathematics, Common Core State Standards and expectations.
- We increase student achievements, generate teacher enthusiasm, and change attitudes towards the teaching and learning of mathematics.
- We give participants professionally prepared materials which are listed in workshop descriptions.
- We offer graduate credit and CEU's.

Product Description:

Index (Dot Cards, Five & Ten frames)

72 dot cards showing 72 different combinations for numbers up to twenty

5 five-frames representing numbers 1 through 5

12 ten-frames representing numbers 0 through 10, teen numbers, numbers 20 and greater

The **266 problem solving activities** on the backs of the dot cards, five- and ten-frames teach fundamental math concepts and skills which include but are not limited to:

number sense - meaning of numbers; four ways to represent a number; the three classifications of numbers and how they are used; properties of sets of numbers such as the set of odd numbers, even numbers, negative numbers, whole numbers, and fractions

recognizing numbers as combinations of other numbers

operation sense - meaning of each of the four operations of addition, subtraction, multiplication, and division; three representations for each meaning of each operation

numerical relations and their representations

counting - counting by 1’s, 2’s, odd numbers, 5’s, 10’s, counting on, counting back

order of operations for addition and subtraction

types of numerical patterns, mathematical notations representing numerical patterns

properties of addition

meaning of place value, writing numbers in expanded form

benchmark 5 - numbers 6 through 10 as 5 plus some more

benchmark 10 - teen numbers as 10 plus some more

range, mean, median, mode

the thinking strategies for mastering the basic facts of addition and subtraction

prefixes for numbers, recognizing and naming polygons formed by visually drawing segments joining dots, meaning of the word two-dimensional

spacial reasoning - above, below, next to, to the right of, to the left of, in between, ....

recognizing and naming the five types of angles three dots form

three relationships between lines - intersect, parallel, skew

transformations - flip, slide, rotate

Concepts are **Standards** **of** **Common Core State Standards**, **Principals and Standards for School Mathematics, 2000**, and goals of research studies by Ashcraft, Cobb, Wheatley, and others. Concepts are arranged in the order they are to be presented.

Why do you need our dot cards, five-frames, and ten-frames?

On the backs of the cards, concepts are clearly and accurately defined and used in an example. The problem solving activities encourage concept mastery, the development of reasoning skills, terminology, and self confidence when drawing conclusions. Dot cards give students the opportunity **to see **the mathematics they are expected to learn!

Grades:

Prekindergarten through Third Grade

For all students struggling with fundamental math concepts regardless of age or grade.

Quantity:

**Prekindergarten, Kindergarten:** 1 set per educator

**First Grade, Second Grade, Third Grade:** 1 set per educator and 1 set for every 2 or 3 students for small group work