Jennifer Colon- The Greedy Triangle

Title: The Greedy Triangle

Author: Marilyn Burns

Illustrator: Gordon Silveria

Recommended Grade level: Pre-K-4^th

^{Posted By: Jennifer Colon}

Common Core Standards:

CC.SS. MATH.CONTENT.K.G.4. Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length).

CC.SS. MATH.CONTENT.K.G.5. Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.

CC.SS. MATH.CONTENT.K.G.6. Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”

CC.SS. MATH.CONTENT.1.G.1 Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size) ; build and draw shapes to possess defining attributes.


 CC.SS. MATH.CONTENT.1.G.2. Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.

CC.SS. MATH.CONTENT.2.G.1. Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.

Summary:

            This book is about a triangle that is dissatisfied with his life. He is tired of being a boring triangle and goes to the local shape shifter. The local shape shifter is able to help the triangle by adding another angle and poof he becomes a quadrilateral. The triangle however, becomes greedy and is unsatisfied and keeps asking to change shape after shape. By the end of the book we learn many different shapes and where we can find them in the world as well as learn on character.

 Rating *****

I gave this book a five rating because it is a fun way in which to introduce polygons and different kinds of shapes. I also like that the book can be used across any grade in elementary school depending on the target of your lesson plan. The book is a great way for students to make real world connections by having them search for shapes in their world and is also a good way to build vocabulary in both literacy and math.

Classroom ideas:

Pre- School:

1.Make Photocopies of the pages of each shape and make each shape a different group of kids. (If possible blow up the images to half poster size to make images clearer). Give students black markers and ask them to search for their shape and trace it with the black marker.

2. Have students look through a magazine and find objects of different shapes.

First Grade or Second Grade:

1.Give students geometric shapes and geometric boards. Let them explore the shapes freely for a few minutes. Ask students to share their noticing’s about the shapes. Ask students to now try to use shapes to build different shapes. Again ask them to share their noticing’s.

2.Have students respond to a prompt such as “If I could be a shape I would be a triangle because…” (Students have to describe their shape and name different places they would be found in their world if they were to be that shape.

Third grade:

Have students go on a Shape Hunt around the school or around the neighborhood. Give them clipboards in which they can record where they find a shape and draw it. It could also be fun to use I-pads or cameras in order for the kids to take pictures of some of the shapes they find.

Zero by Kathryn Otoshi

Title: Zero

Written And Illustrated by: Kathryn Otoshi

Recommended Grade Level: Grades 2-5

Common Core Standards:

CCSS.MATH.CONTENT.2.NBT.A.1
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:

CCSS.MATH.CONTENT.2.NBT.A.1.A
100 can be thought of as a bundle of ten tens — called a "hundred."

CCSS.MATH.CONTENT.2.NBT.A.1.B
The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

CCSS.MATH.CONTENT.3.NBT.A.1
Use place value understanding to round whole numbers to the nearest 10 or 100.

CCSS.MATH.CONTENT.4.NBT.A.1
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

CCSS.MATH.CONTENT.5.NBT.A.1
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

CCSS.MATH.CONTENT.5.NBT.A.2
Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Summary: Anthropomorphized Zero feels as though she does not count, since her value is nothing. With the help of the other digits, Zero discovers her own worth when she realizes that she can work with other numbers to hold the place of the ones, tens, hundreds, etc. giving them a much higher number when they stand together.

Rating: ***** (5 out of 5 stars) I loved this book because zero is conceptually very difficult and its meaning is hard to articulate. Indeed, mathematicians did not use it for calculations until the end of the first millennia CE. This book is unique, in that it is one of the few to address this challenging concept that is often a source of misunderstanding for children.

Classroom Ideas: I think that this book could be used to introduce any of the standards involving numbers in base ten. I think that older students would enjoy the wordplay more, but it could be used with children in second grade and they begin to explore the concept of place value. I think that in my own fourth grade classroom, it would be very helpful at the beginning of the year as students are asked to model place value relationships and describe the value of a digit as ten times the value of the digit to the right. Since understanding of place value underlies the algorithms for computation it is essential that students gain mastery of place value relationship early on. Students will also engage with the mathematical practice “look for and make use of structure” as they read the text about our place value system. 

The M & M's Color Pattern Book. Posted by Michelle Charles



Title: The M&M's Color Pattern Book

Author: Barbara Barbieri McGrath

Illustrator: Roger Glass

Recommended Grade Level: Prekindergarten -2nd grade

Common Core Mathematics Standard:
Know number names and the count sequence
K.CC.3. Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).
Count to tell the number of objects
K.CC.4. Understand the relationship between numbers and quantities; connect counting to cardinality
K.CC.5. Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1-20, count out that many objects
Compare numbers
K.CC.6. Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, eg, by using matching and counting strategies.
Describe several measurable attributes of a single object
K.MD.3. Classify objects into given categories; count the numbers of objects in each category and sort the categories by count
Represent and solve problems involving addition and subtraction
1.OA.1. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart and comparing with unknowns in all positions, eg, by using objects, drawings and equations with a symbol for the unknown number to represent the problem.
1.OA.2. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, eg, by using objects, drawings and equations with a symbol for the unknown number to represent the problem
1.OA.5. Relate counting to addition and subtraction.
Represent and solve problems involving addition and subtraction.
2.OA.1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, eg, by using drawings and equations with a symbol for the unknown number to represent the problem.
Add and subtract within 20
2.OA.2. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, eg, by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Summary: This is a great book that uses something most children enjoy and are familiar with, M&m's, to teach important mathematical concepts. The book introduces young learners to sorting, patterns, skip counting, and odd and even numbers. The words on each individual page is written in rhyme, and the candy illustrations are sure to delight. Young learners can not only read along, they can also practice the tasks the book asks you to perform.

Rating (1 to 5 Stars): **** I really like this book because there are a lot of fun and engaging ideas that you can incorporate into lessons.

Classroom Ideas: This book is great for young learners. It not only can help learn colors and to sort them, but it can illustrate what a pattern looks like, and how to construct a pattern. It can be used to introduce children to odd and even numbers and the technique of skip counting. Children can use the problems on the pages to construct their own mathematical problems and use the visualizations to develop deeper meaning and understanding. In addition, this book can be used as the basis for introducing young learners to graphing by using something they will enjoy eating once they are finished.

Each Orange Had 8 Slices - posted by Nicole Dickerson

 

Title: Each Orange Had 8 Slices

Author: Paul Giganti, Jr.

Illustrator: Donald Crews

Recommended Grade Level: K - 3

CCSS.MATH.CONTENT.K.CC.B.4 - Understand the relationship between numbers and quantities; connect counting to cardinality

CCSS.MATH.CONTENT.K.OA.A.1 - Represent addition and subtraction with objects, fingers, mental images, drawings1, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

CCSS.MATH.CONTENT.K.OA.A.2 - Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

CCSS.MATH.CONTENT.1.OA.A.1 - Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

CCSS.MATH.CONTENT.2.OA.C.3 - Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

CCSS.MATH.CONTENT.3.OA.A.1 - Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.

Summary: Each Orange Had 8 Slices is a wonderful counting book that introduces beginning math concepts through visual aids of bright colors, bolded numbers, and questions on every page relating to the text.  It allows children to view counting, adding, subtracting, multiplying and word problems in a fun and exciting way. Every page allows children to be exposed to some object, and with that object a math related question is asked.

Rating: ***** This is a fantastic book.  It introduces math in an engaging, fun and simple way for children. You will have fun whether you add, count or multiply through the many math puzzles in the book.

Classroom Ideas: This book can be use addition, subtraction, and multiplication.  I would use this book to introduce the concept of multiplication. After teaching the math lesson on multiplication.  I would read the story to the students and after each page I would have the students (in groups of two or three), use manipulative to answer the questions. I will have random students explain to the rest of the class, the strategies they use to get the answers.

 

Over On the Farm: A Counting Picture Book Rhyme

Posted by Melanie Rivera

Title: Over On the Farm

Author and Illustrator: Christopher Gunson

Recommended Grade Level: Pre-K/ Kindergarten

Common Core Standards Addressed:

CCSS. MATH.CONTENT

•         PK. CC. 3A Count to Tell the Number of objects:  When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object.

•         PK.CC.3C Count to Tell the Number of Objects: Understand that each successive number name refers to a quantity that is one larger

•         PK.CC. 4 Count to Tell the Number of Objects:  Count to answer “ How many?”  Questions how about as many as 10 things arranged in a line, a rectangular array, or a circle, or as many as 5 things in a scattered configuration: given a number from 1-10, count out that many objects.

•         PK. CC. 5 Compare Numbers: Identify whether the number of objects in one group is more, less, greater than, fewer, and/or equal to the number of objects in another group, e.g., by using matching and counting strategies up to 5 objects)

•       PK. CC. 6 Compare Numbers: Identify “first” and “last” related to order or position.

•         PK. OA. 1 Understand addition as adding to, and understand subtraction as taking from. Demonstrate an understanding of addition and subtraction by using objects, fingers, and responding to practical situations (e.g., If we have 3 apples and add two more, how many apples do we have all together?).

•        PK.OA. 2  Understand simple patterns. Duplicate and extend (eg.What comes next?) simple patterns using concrete objects

•         K.OA. 2 Solve addition and subtraction word problems , and add and subtract within 10, e.g,. by using objects or drawings to represent the problem

•         K. OA. 4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.

Summary: This book is counting book that takes readers on a journey through farms, forests, and fields. The story is that of mother animals instructing their little ones to do what comes naturally to their species. Baby frogs practice splashing in the pond while Birds practice flapping and cheeping. With each turn of the page, the reader is introduced to a different number (from 1-10) because each page has a larger family from the page before. The entire story rhymes and each page follows the same rhyming pattern just with a different set of animals and number.

Rating:  ***** I think that this is an exceptional book for beginning learners. The book covers a variety of concepts such as counting, rhyming, animals, and even colors. The story line could have been a bit more interesting but I think it is age appropriate being that the book is recommended for ages 2-4. The use of colors, accurate depiction of animals, and appropriate habitats for each animal is also a plus in this book. 

Classroom Ideas: This Book can be used in a variety of ways and activities can be expanded from Pre-k to meet kindergarten standards. One of the activities that can stem out of this book is having the students predict how many animals will be on the next page and use their fingers to represent their answer. This requires the students to recognize the pattern within the pages of the book and also to count in chronological order. For an even more simple activity, the pictures of the baby animals can be shown to the children,without the words, and they can count how many animals they see.To reinforce the concept of numbers, after the children have counted the animals, the numerical representation of the number should be shown as well as counted on their fingers. This activity will help them pair the name of the number to the amount of animals. Students can also be asked to compare the animal families to see which family has the most members which will help them with the skill of comparing numbers. You can also do basic addition and subtraction with this book by using pictures of the animals, or manipulative such as toy animals, and asking the students questions such as “If mother rabbit want to invite over mother frog and her babies, how many babies will there be?”. An extension of that question would be to answer how many animals there would be altogether, which would require students to include the mothers in their calculations. For kindergarten children, they can do addition problems, which require them to add two numbers to equal 10. For this activity they can be asked a question such as “Who should mother fox invite over so that there are 10 babies altogether”. To answer this question the children would have to connect mother fox with the number of babies she has as well as figure out how many more babies she would need to make 10, and then find the mother who has that amount of babies This book can also be used for non-mathematical activities such as looking at rhyming words and animals and their habitats.