District
 
Sign into this siteRegister for this site  

Connected Math

In Prime Time, you will explore important properties of whole numbers,

especially properties related to multiplication and division.

You will learn how to:

-Understand relationships among factors, multiples, divisors, and

products 

-Recognize and use properties of prime and composite numbers, even

and odd numbers, and square numbers

-Use rectangles to represent the factor pairs of numbers

-Develop strategies for finding factors and multiples, least common

multiples, and greatest common factors

-Recognize and use the fact that every whole number can be written in

exactly one way as a product of prime numbers 

-Use factors and multiples to solve problems and to explain some

numerical facts of everyday life 

-Develop a variety of strategies for solving problems—building models,

making lists and tables, drawing diagrams, and solving simpler problems

In Bits and Pieces I, you will explore relationships among fractions,

decimals, and percents.You will learn that fractions and decimals are also

part of a larger set of numbers called rational numbers.

You will learn how to:

-Model situations involving fractions, decimals, and percents 

-Understand and use equivalent fractions to reason about situations

-Compare and order fractions and decimals 

-Move flexibly among fraction, decimal, and percent representations 

-Use benchmarks, such as 0, 1, and 2, to help estimate the size of a

number or sum

-Develop and use benchmarks that relate different forms of rational

numbers (for example, 50% is the same as or 0.5)

-Use context, physical models, drawings, patterns, or estimation to help

reason about situations involving rational numbers

In Shapes and Designs, you will explore important properties of polygons.

You will learn how to:

-Identify some important properties of polygons

-Recognize polygonal shapes both in and out of the classroom

-Investigate reflection and rotation symmetries of a shape

-Estimate the measures of angles by comparing them to a right angle or

other benchmark angles

-Use an angle ruler to measure an angle

-Explore properties of parallel lines

-Find patterns that help you determine the sum of the interior angle

measures of any polygon

-Find which polygons fit together to cover a flat surface and understand

why they fit together

-Explain which properties of triangles make them a stable building unit

-Find that the sum of two side lengths of a triangle is greater than the

third side length

-Find that the sum of three side lengths of a quadrilateral is greater than

the fourth side length

-Draw or sketch polygons with certain properties

-Reason about and solve problems involving shapes
In Bits and Pieces II, you will develop an understanding of and strategies

for the four basic arithmetic operations with fractions.

You will learn how to:

-Use benchmarks and other strategies to estimate the reasonableness of

results of operations with fractions

-Develop ways to model sums, differences, products, and quotients,

including the use of areas, fraction strips, and number lines

-Look for rules to generalize patterns in numbers

-Use your knowledge of fractions and equivalence of fractions to

develop algorithms for adding, subtracting, multiplying and dividing

fractions

-Recognize when addition, subtraction, multiplication, or division is the

appropriate operation to solve a problem

-Write fact families to show the inverse relationship between addition

and subtraction, and between multiplication and division 

-Solve problems using operations on fractions

In Covering and Surrounding, you will explore areas and perimeters of

figures, especially quadrilaterals, triangles, and circles.

You will learn how to:

-Use area and relate area to covering a figure

-Use perimeter and relate perimeter to surrounding a figure

-Analyze what it means to measure area and perimeter

-Develop strategies for finding areas and perimeters of rectangular and

non-rectangular shapes

-Discover relationships between perimeter and area, including that one

can vary while the other stays fixed

-Analyze how the area of a triangle and the area of a parallelogram are

related to the area of a rectangle

-Develop formulas and procedures, stated in words or symbols, for finding

areas and perimeters of rectangles, parallelograms, triangles, and circles

-Develop techniques for estimating the area and perimeter of an

irregular figure

-Recognize situations in which measuring perimeter or area will help

answer practical questions

Lesson plans and student work:
 
Planning a Park Project:  Lesson Plan
 
Planning a Park Project:  Student Work
 
My thoughts on UDL:
To differentiate instruction is to understand students' different background knowledge, readiness, language, preferences in learning and interests; and to incorrporate these factors in lesson planning. Differentiated instruction is a process to teaching and learning for students of differing abilities in the same class. The intent of differentiating instruction is to maximize each student's growth and individual success by meeting each student where he or she is and assisting in the learning process.