**Title:** Heart Graphing

**Description:**
During this lesson students will complete hands-on activities.Technology will be incorporated with this lesson. Students will sort conversation heart candy by colors. Students will then use their data to complete picture graphs.
**Standard(s): **

[TC2] (0-2) 1: Identify basic parts of various technology systems.

**Subject:**Mathematics (K), or Technology Education (K - 2)

**Title:**Heart Graphing

**Description:**During this lesson students will complete hands-on activities.Technology will be incorporated with this lesson. Students will sort conversation heart candy by colors. Students will then use their data to complete picture graphs.

**Title:** The Counting House

**Description:**
In this lesson, students will recognize numbers 0-20. Students will place objects with the correct corresponding number.
**Standard(s): **

[MA2015] (0) 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). [K-CC3]

**Subject:**Mathematics (K)

**Title:**The Counting House

**Description:**In this lesson, students will recognize numbers 0-20. Students will place objects with the correct corresponding number.

**Title:** Congruent Figures

**Description:**
This lesson is an introduction to a unit about congruent shapes. Students will begin by listening to a book about shapes. They will then complete several hands-on activities, including sorting shapes, using their bodies to form congruent shapes, and using activities on the Internet to practice forming congruent shapes.
**Standard(s): **

[MA2015] (2) 26: Partition circles and rectangles into two, three, or four equal shares; describe the shares using the words *halves, thirds, half of, a third of*, etc.; and describe the whole as two halves, three thirds, or four fourths. Recognize that equal shares of identical wholes need not have the same shape. [2-G3]

**Subject:**Mathematics (K - 2), or Technology Education (K - 2)

**Title:**Congruent Figures

**Description:**This lesson is an introduction to a unit about congruent shapes. Students will begin by listening to a book about shapes. They will then complete several hands-on activities, including sorting shapes, using their bodies to form congruent shapes, and using activities on the Internet to practice forming congruent shapes.

**Title:** Counting Backward from Ten

**Description:**
Students will be introduced in this lesson to the concept of orally counting backward from ten using a book, number cards, and the Internet.
**Standard(s): **

[MA2015] (0) 16: Classify objects into given categories; count the number of objects in each category, and sort the categories by count. (Limit category counts to be less than or equal to 10.) [K-MD3]

**Subject:**Mathematics (K)

**Title:**Counting Backward from Ten

**Description:**Students will be introduced in this lesson to the concept of orally counting backward from ten using a book, number cards, and the Internet.

**Title:** Fishy Addition!

**Description:**
In this lesson, students will use manipulatives to act out and solve simple addition problems.
**Standard(s): **

[MA2015] (0) 16: Classify objects into given categories; count the number of objects in each category, and sort the categories by count. (Limit category counts to be less than or equal to 10.) [K-MD3]

**Subject:**Mathematics (K)

**Title:**Fishy Addition!

**Description:**In this lesson, students will use manipulatives to act out and solve simple addition problems.

**Title:** Counting Back and Counting On

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students model subtraction with connecting cubes while the teacher reads to them from counting books. Then, students make a train of connecting cubes and write in vertical and horizontal format the differences suggested by adding to and subtracting from the train, one cube at a time. Finally, students record in their learning portfolio for the unit a train showing one cube being taken away and record the difference in vertical and horizontal format. Several pieces of literature appropriate for use with this lesson are suggested.
**Standard(s): **

[MA2015] (1) 18: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. [1-MD4]

**Subject:**Language Arts,Mathematics

**Title:**Counting Back and Counting On

**Description:**In this lesson, one of a multi-part unit from Illuminations, students model subtraction with connecting cubes while the teacher reads to them from counting books. Then, students make a train of connecting cubes and write in vertical and horizontal format the differences suggested by adding to and subtracting from the train, one cube at a time. Finally, students record in their learning portfolio for the unit a train showing one cube being taken away and record the difference in vertical and horizontal format. Several pieces of literature appropriate for use with this lesson are suggested.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Begin with Buttons: Looking Back and Moving Forward

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students review the work of the previous lessons through a variety of activity stations, one of which involves using an interactive Web site. Students model with buttons and record addition and subtraction.
**Standard(s): **

[MA2015] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1-OA5]

**Subject:**Mathematics

**Title:**Begin with Buttons: Looking Back and Moving Forward

**Description:**In this lesson, one of a multi-part unit from Illuminations, students review the work of the previous lessons through a variety of activity stations, one of which involves using an interactive Web site. Students model with buttons and record addition and subtraction.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Three in a Set

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students construct sets of three, compare them with sets of two, and write the numeral 3. They also show a set of three on their recording chart.
**Standard(s): **

[MA2015] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [K-CC4]

**Subject:**Mathematics

**Title:**Three in a Set

**Description:**In this lesson, one of a multi-part unit from Illuminations, students construct sets of three, compare them with sets of two, and write the numeral 3. They also show a set of three on their recording chart.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Practice Makes Perfect

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students focus on differences of numbers from 10. Students use a real or virtual calculator and play a concentration game.
**Standard(s): **

[MA2015] (0) 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. [K-CC5]

**Subject:**Mathematics

**Title:**Practice Makes Perfect

**Description:**In this lesson, one of a multi-part unit from Illuminations, students focus on differences of numbers from 10. Students use a real or virtual calculator and play a concentration game.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Focus on Two

**Description:**
In this lesson, one of a multi-part unit from Illuminations, a nursery rhyme provides a context for using the number two. Students make groups of two, write the numeral 2, and record a group of two on a personal recording chart.
**Standard(s): **

[MA2015] (0) 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). [K-CC3]

**Subject:**Mathematics

**Title:**Focus on Two

**Description:**In this lesson, one of a multi-part unit from Illuminations, a nursery rhyme provides a context for using the number two. Students make groups of two, write the numeral 2, and record a group of two on a personal recording chart.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Zero Our Hero

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students explore sets of zero items and practice writing the numbers 0 through 5. Students count back from five, identify sets of up to five items, and record 0 on a chart. They also construct sets of up to five items.
**Standard(s): **

[MA2015] (0) 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). [K-CC3]

**Subject:**Mathematics

**Title:**Zero Our Hero

**Description:**In this lesson, one of a multi-part unit from Illuminations, students explore sets of zero items and practice writing the numbers 0 through 5. Students count back from five, identify sets of up to five items, and record 0 on a chart. They also construct sets of up to five items.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Building Sets of Six

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students construct sets of six, compare them with sets of a size up to six objects, and write the numeral 6. They also show a set of six on a 10 Frame and on a recording chart. Visual, auditory, and kinesthetic activities are used to help students begin to acquire a sense of number.
**Standard(s): **

[MA2015] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [K-CC4]

**Subject:**Mathematics

**Title:**Building Sets of Six

**Description:**In this lesson, one of a multi-part unit from Illuminations, students construct sets of six, compare them with sets of a size up to six objects, and write the numeral 6. They also show a set of six on a 10 Frame and on a recording chart. Visual, auditory, and kinesthetic activities are used to help students begin to acquire a sense of number.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Finding Addition Patterns

**Description:**
In this lesson, one of a multi-part unit from Illuminations, a game encourages students to find the sums of two one-digit numbers. Students explore commutativity and examine addition patterns. Then they record known facts on a personal addition chart. Reasoning is a major focus in this lesson.
**Standard(s): **

[MA2015] (0) 11: 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. [K-OA4]

**Subject:**Mathematics

**Title:**Finding Addition Patterns

**Description:**In this lesson, one of a multi-part unit from Illuminations, a game encourages students to find the sums of two one-digit numbers. Students explore commutativity and examine addition patterns. Then they record known facts on a personal addition chart. Reasoning is a major focus in this lesson.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Building Numbers to Five

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students make groups of zero to five objects, connect number names to the groups, compose and decompose numbers, and use numerals to record the size of a group. Visual, auditory, and kinesthetic activities are used to help students begin to acquire a sense of number.
**Standard(s): **

[MA2015] (0) 12: Fluently add and subtract within 5. [K-OA5]

**Subject:**Mathematics

**Title:**Building Numbers to Five

**Description:**In this lesson, one of a multi-part unit from Illuminations, students make groups of zero to five objects, connect number names to the groups, compose and decompose numbers, and use numerals to record the size of a group. Visual, auditory, and kinesthetic activities are used to help students begin to acquire a sense of number.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Building Sets of Eight

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students explore the number 8. They make and decompose sets of eight, write the numeral 8, and compare sets of up to eight objects.
**Standard(s): **

[MA2015] (0) 7: Compare two numbers between 1 and 10 presented as written numerals. [K-CC7]

**Subject:**Mathematics

**Title:**Building Sets of Eight

**Description:**In this lesson, one of a multi-part unit from Illuminations, students explore the number 8. They make and decompose sets of eight, write the numeral 8, and compare sets of up to eight objects.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** What's My Rule for Sorting?

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students build on prior knowledge of sorting and classifying when they recognize sorts and name rules for sorting. They identify common properties in the classroom environment and then make, explain, and defend conjectures to extend their knowledge.
**Standard(s): **

[MA2015] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [K-CC4]

**Subject:**Mathematics

**Title:**What's My Rule for Sorting?

**Description:**In this lesson, one of a multi-part unit from Illuminations, students build on prior knowledge of sorting and classifying when they recognize sorts and name rules for sorting. They identify common properties in the classroom environment and then make, explain, and defend conjectures to extend their knowledge.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Using the Number Line to Compare

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students determine differences using the number line to compare lengths. Because this model is based on linear measurement, it is a distinctly different representation from the models presented in the first two lessons of this unit. At the end of this lesson, children are encouraged to predict differences and answer puzzles involving subtraction.
**Standard(s): **

[MA2015] (2) 15: Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen. [2-MD2]

**Subject:**Mathematics

**Title:**Using the Number Line to Compare

**Description:**In this lesson, one of a multi-part unit from Illuminations, students determine differences using the number line to compare lengths. Because this model is based on linear measurement, it is a distinctly different representation from the models presented in the first two lessons of this unit. At the end of this lesson, children are encouraged to predict differences and answer puzzles involving subtraction.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Building Sets of 17 and 18

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students explore sets of up to18. They construct sets up to 18, write the numerals 17 and 18, and model 17 and 18 with bean sticks, cubes, and ten frames.
**Standard(s): **

[MA2015] (2) 6: Count within 1000; skip-count by 5s, 10s, and 100s. [2-NBT2]

**Subject:**Mathematics

**Title:**Building Sets of 17 and 18

**Description:**In this lesson, one of a multi-part unit from Illuminations, students explore sets of up to18. They construct sets up to 18, write the numerals 17 and 18, and model 17 and 18 with bean sticks, cubes, and ten frames.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Connecting Numbers and Patterns

**Description:**
This lesson, one of a multi-part unit from Illuminations, accommodates multiple learning styles by having students create patterns using different forms. For example, students use body movement or kinesthetic experiences to create and copy patterns. Students use knowledge and skills in new situations to develop a solid understanding of the process for creating patterns, recognizing pattern sequences, and representing patterns in different ways.
**Standard(s): **

[MA2015] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [K-CC4]

**Subject:**Mathematics

**Title:**Connecting Numbers and Patterns

**Description:**This lesson, one of a multi-part unit from Illuminations, accommodates multiple learning styles by having students create patterns using different forms. For example, students use body movement or kinesthetic experiences to create and copy patterns. Students use knowledge and skills in new situations to develop a solid understanding of the process for creating patterns, recognizing pattern sequences, and representing patterns in different ways.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Multiple Patterns

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students explore patterns that involve doubling. They use objects and numbers in their exploration and record them using a table.
**Standard(s): **

[MA2015] (3) 10: Use place value understanding to round whole numbers to the nearest 10 or 100. [3-NBT1]

**Subject:**Mathematics

**Title:**Multiple Patterns

**Description:**In this lesson, one of a multi-part unit from Illuminations, students explore patterns that involve doubling. They use objects and numbers in their exploration and record them using a table.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Building Sets of 19 and 20

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students explore sets of 19 and 20. They count up to 20, construct and decompose sets up to 20, and record the decompositions.
**Standard(s): **

[MA2015] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [K-CC4]

**Subject:**Mathematics

**Title:**Building Sets of 19 and 20

**Description:**In this lesson, one of a multi-part unit from Illuminations, students explore sets of 19 and 20. They count up to 20, construct and decompose sets up to 20, and record the decompositions.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Sorting Foods

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students visit a Web site to play a game related to the food pyramid and sort foods using the categories of the food pyramid. They also create sets up to ten and write numerals up to ten. This lesson makes a natural connection to the science of nutrition.
**Standard(s): **

[MA2015] (0) 16: Classify objects into given categories; count the number of objects in each category, and sort the categories by count. (Limit category counts to be less than or equal to 10.) [K-MD3]

**Subject:**Health,Mathematics

**Title:**Sorting Foods

**Description:**In this lesson, one of a multi-part unit from Illuminations, students visit a Web site to play a game related to the food pyramid and sort foods using the categories of the food pyramid. They also create sets up to ten and write numerals up to ten. This lesson makes a natural connection to the science of nutrition.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Count 'n Match

**Digital Tool:**
Learning to Count **Web Address URL:**
http://www.smallgames.pro/learning-games/learn-to-count/ **Standard(s): **

[MA2015] (0) 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). [K-CC3]**Digital Tool Description:** This tool will help children correspond pictures to an actual number. The child will count the objects shown in the picture and select the number that corresponds with the quantity of objects shown.

**Title:**Count 'n Match

**Digital Tool:**Learning to Count

**Digital Tool Description:**This tool will help children correspond pictures to an actual number. The child will count the objects shown in the picture and select the number that corresponds with the quantity of objects shown.

**Title:** Number and Operations Web Links

**Description:**
This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites.
**Standard(s): **

[MA2015] (5) 26: Classify two-dimensional figures in a hierarchy based on properties. [5-G4]

**Subject:**Mathematics

**Title:**Number and Operations Web Links

**Description:**This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,1,2,3,4,5,6,7,8,9,10,11,12

**Title:** Illuminations Activities

**Description:**
This Web page, from Illuminations, allows users to access all of Illuminations' online, interactive activities. The activities span the grades and encompass all areas of mathematics.
**Standard(s): **

[MA2015] (2) 14: Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. [2-MD1]

**Subject:**Mathematics

**Title:**Illuminations Activities

**Description:**This Web page, from Illuminations, allows users to access all of Illuminations' online, interactive activities. The activities span the grades and encompass all areas of mathematics.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,1,2,3,4,5,6,7,8,9,10,11,12