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Multistep Word Problems
3rd Grade
Objectives CCSS Math: Operations & Algebraic Thinking 3.OA.D.8: Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.A.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. Materials Needed Cardboard box or posterboard, cut into an outline of a bus (optional) Whiteboard or chart paper Tim’s Yard Work flyer Neighborhood Jobs reproducible Neighborhood Jobs Answer Key Preparation Print out a copy of the Tim’s Yard Work flyer and the Neighborhood Jobs reproducible for each student in your class. (You can also display the flyer on a document camera.) Introduction Instruct students to listen very carefully to the following story problem: Mr. Smith is driving a bus. At first, the bus has no passengers. At the first stop, 10 passengers get onto the bus. At the second stop, 2 passengers get off the bus. Then 4 passengers board the bus. At the third stop, half the passengers get off the bus. Pause for a few seconds. Then ask, “Now...what is the name of the bus driver?” Most students will likely react with surprise at this question, but a few will remember that you stated who was driving the bus at the beginning of the story problem. Affirm that the name of the bus driver is Mr. Smith. Ask students to raise their hands if they were calculating the number of passengers getting on and off the bus. Explain that, although this story problem was a riddle with a surprising twist at the end, those with their hands raised were actually calculating a multistep math problem that involved addition, subtraction and even division. Point out that this exercise is also a good example of why it is helpful to read the whole problem first in order to find out what information is needed to answer the question.
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Wild About Word Problems
1st Grade - 2nd Grade
Objectives CCSS Math/Operations and Algebraic Thinking: 1.OA.1, 1.OA.2 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 by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20 by using objects, drawings, and situations with a symbol for the unknown number to represent the problem. Materials Needed Animals on Board by Stuart J. Murphy Wild Animal Counters or other animal manipulatives Animal Story Problems and answer key Create-Your-Own Animal Story Problems Easel, document camera, chart paper, chalkboard or whiteboard [to display problems] Introduction Read aloud Animals on Board by Stuart J. Murphy. As you read, encourage students to help you solve the word problems that are presented in the story. Then point out how the problems are represented in numeric form to show the sum. For example, you might say, “There were three tigers. Along came two more. 3 + 2 = how many?”
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Valentine Add & Solve
Pre-K - Kindergarten
Objective Operations & Algebraic Thinking Solving addition and subtraction word problems using objects or drawings Materials Needed “Valentine Add & Solve” mat Number tiles template Addition strips template Candy hearts, small red buttons or pom-poms (10 per student) Posterboard Pocket chart Tape Glue Scissors Preparation Print the “Valentine Add & Solve” mat, number tiles template and addition strips template. Make enough copies for yourself and each student in your class. Then cut out the number tiles and addition strips. Take one mat, one set of number tiles and one set of addition strips and mount them on posterboard so you can use them in a pocket chart.
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Build-a-Zoo STEM Kit
Pre-K
Objectives
- Children will understand cause and effect.
- Children will make predictions.
- Children will develop balancing skills.
Multiplication & Division Word Problems
4th Grade
Objective
- Multiply or divide to solve word problems involving multiplicative comparison.
Conversion Word Problems
5th Grade
Objective
- Solve word problems involving conversions.
Mystery Coins
1st Grade - 2nd Grade
Objectives Number & Operations in Base Ten Understanding 10 as a bundle of ten ones Skip-counting by 5s, 10s, and 100s Measurement & Data Solving word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols Materials Needed Plastic coins (or paper coins reproducible and scissors) Coin Values reproducible Mystery Coins reproducible Chart paper Marker Introduction Hold up each coin and review its name and value. You may want to print out and display the Coin Values reproducible for students to use as a reference. Be sure to show students both sides of each coin, and remind them that larger coins do not necessarily have greater values.
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Ants Go Marching
3rd Grade
Objectives CCSS Math/Operations & Algebraic Thinking 3.OA.A.1: Interpret the products of whole numbers, e.g., interpret 5 x 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 x 7. 3.OA.A.2: Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8. 3.OA.A.3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Materials Needed One Hundred Hungry Ants by Elinor Pinczes Ant counters or raisins Multiplication activity cards Ants Go Marching multiplication page (multiple copies for each student) Introduction Read aloud One Hundred Hungry Ants by Elinor Pinczes.
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Elapsed Time
3rd Grade - 4th Grade
Objectives CCSS Math: Measurement & Data 3.MD.A.1: Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram. 4.MD.A.2: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Materials Needed Lakeshore Magnetic Teaching Clock Lakeshore Student Clocks - Set of 12 “Elapsed Time Word Problems” activity page Elapsed time worksheet Introduction Ask a student what time school starts. Write this time on the board under the heading “Start Time.” Then ask another student what time school ends. Write this time next to the start time under the heading “End Time.” Ask, “From the time school starts to the time it ends, how much time elapses, or passes?” (Invite students to respond and explain their reasoning and calculations.) Hold up the teaching clock and demonstrate how to set the clock at the start time and count the hours and minutes until the end time. (Hint: Move the hour hand first and have students count the hours aloud with you. Then move the minute hand and have them count the minutes.) Explain to students that you are going to teach them some strategies to help them calculate elapsed time.
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Character Building: Bullying
3rd Grade - 5th Grade
Objectives Students will listen and respond to literature read aloud by the teacher. Students will share interpretations of lessons in a story and learn to apply these lessons to their own lives. Materials Needed A Bad Case of Stripes by David Shannon Chalkboard, sentence strips or interactive whiteboard Notebook paper Introduction Ask students if they have a favorite food that might surprise others, like broccoli, spinach or beets! Invite volunteers to tell the class what this surprising food is. Tell students that you are going to read a story in which the main character has an odd choice for a favorite food. Ask students to pay special attention to what happens to this character, how her classmates react to her, and what she does to solve her problem. Read aloud A Bad Case of Stripes by David Shannon.
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Peppermint Parts: A Fraction Lesson
2nd Grade
Objective Students will explore beginning fractions by dividing a whole into two equal parts, three equal parts and four equal parts. Materials Needed Sheila Rae’s Peppermint Stick by Kevin Henkes Peppermint Stick Fraction Bars reproducible Construction Paper - 9" x 12" (red and white) Scissors Glue Sticks Red and black markers or crayons Peppermint sticks (optional) Preparation: Print out a copy of the Peppermint Stick Fraction Bars reproducible onto white construction paper (or printer paper) for each student. Introduction Ask the class to think about ways to divide an object into two equal parts, or halves. As you read aloud Sheila Rae’s Peppermint Stick by Kevin Henkes, prompt students to listen for the solution that Sheila Rae uses to solve her problem.
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Equation Match-Ups
5th Grade
Objectives
- Work with variables and expressions.
- Understand how to solve simple problems.
- Write equations to solve word problems.
Place Value Addition
1st Grade
Objective
- Use place value blocks to solve addition problems.
Money Mania
2nd Grade
Objective CCSS Math/Measurement and Data: 2.MD.8 Solve word problems involving dollar bills, quarters, dimes, nickels and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have? Materials Needed The Coin Counting Book by Rozanne Lanczak Williams or The Penny Pot by Stuart J. Murphy Coin counting chart Money problem-solving cards and mat Money problem-solving answer key Plastic coins (pennies, nickels, dimes and quarters) and dollar bills, or paper coins and dollar bills Race to the Bank spinner game mats Paper Pencils and paper clips Introduction Give pairs or small groups (three or four) of students coins with at least 25 pennies, 20 nickels, 15 dimes and four quarters to use as manipulatives. Read aloud The Coin Counting Book by Rozanne Lanczak Williams or The Penny Pot by Stuart J. Murphy, pausing to encourage students to count out the appropriate coins in the book and add them together as you read.
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Autumn Owls Beginning Addition
Pre-K - Kindergarten
Objectives Counting & Cardinality Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. Operations & Algebraic Thinking Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Materials Needed Large number cards Autumn owl Autumn Owls Addition worksheet Construction paper Scissors Chart paper or whiteboard Bulletin board (optional) Stapler (optional) For the Extension Activity: Autumn Owls Partner Game Scissors Paper clips Pencils Zip-close bag Introduction Hold up the large number cards one at a time, going in order from 0 to 10. Prompt students to say each number aloud with you. Then mix up the cards and have students practice identifying the numbers out of order.
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Volume in the Real World
5th Grade
Objective
- Apply the formula V = length x width x height to find the volume of a shape in solving real-world math problems.
Get to 10: Equation Fun
2nd Grade
Objectives Students will express the same number multiple ways. Students will solve simple addition and subtraction problems. Materials Needed Chalkboard and chalk (or whiteboard and marker) Pocket chart Number cards and equation strips “Get to 10!” activity sheet Number tiles reproducible Scissors
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Menu Math
3rd Grade - 4th Grade
Objectives CCSS Math: Operations & Algebraic Thinking 3.OA.D.8: Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.A.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be
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Real-World Math: Perimeter and Data
3rd Grade
Objective
- Solve real-world mathematical problems involving perimeter and area.
Add It Up!
Kindergarten
Objective CCSS Math: Operations & Algebraic Thinking K.OA.A.1: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions or equations. Materials Needed Animals on Board by Stuart J. Murphy Ladybug counters Number tiles Leaf mat Dice (two for each pair of students) Scissors Introduction Read aloud Animals on Board by Stuart J. Murphy. As you read, point out to students that the truck driver is spotting two groups of the same animal and adding them together to find out how many of that animal there are. Challenge students to solve the addition problems along with you as you read.
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Graph Your Heart Out
1st Grade - 2nd Grade
Objectives Operations & Algebraic Thinking Making estimates about the number of objects in a group and comparing the estimate to the actual amount Measurement & Data Organizing, representing, and interpreting data with up to three categories; asking and answering questions about the data points Drawing a picture graph and a bar graph to represent a data set with up to four categories; solving simple put-together, take-apart, and compare problems using information from a bar graph Materials Needed Read-aloud math picture book, such as Betcha! by Stuart J. Murphy or Math Curse by Jon Scieszka Small box of candy conversation hearts for each student Graph Your Heart Out worksheet Hearts Graph pencils Introduction Capture students’ interest in estimation, counting and thinking about math by reading aloud Betcha! by Stuart J. Murphy or Math Curse by Jon Scieszka. Ask students, “What is the difference between counting and estimating?” Guide them in understanding that estimating involves making a reasonable guess, and counting is reaching an exact answer. Explain that counting sometimes takes longer than estimating, but both methods can be used to help you figure out answers to math questions.
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The Rainbow Fish: Counting Storytelling Kit
Infant
Objectives
• Infants will show interest in shared reading experiences and looking at books.
• Infants will build vocabulary.
• Infants will develop memory and listening skills.
Create-Your-Own Calm-Down Kit
Toddler
Objective
• Toddlers will use sensory relaxation to help them calm down.
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Crunchy Sensory Kit
Toddler
Objectives
• Toddlers will engage in sensory exploration.
• Toddlers will make tactile discoveries.
• Toddlers will develop eye/hand coordination and fine motor skills to use tools.
Comparing Living Things
1st Grade
Objectives Students will listen to a story that is read aloud and recall events from the story. Students will understand that trees and other living things have patterns that they follow from one season to the next. Students will learn about hibernation. Students will research different types of animals and compare and contrast the animals. Students will extend their learning by creating a book that illustrates the differences between two animals. Materials Needed Fletcher and the Falling Leaves by Julia Rawlinson Tree Squirrels and Ground Squirrels graphic organizer Bears and Bats graphic organizer Foxes and Rabbits graphic organizer Hamsters and Mice graphic organizer Construction paper (white) Stapler Best-Buy Crayons or Best-Buy Colored Pencils Scissors Preparation Cut the white construction paper into 4.5" x 6.5" rectangles. Staple six to eight rectangles together to make booklets for the class. (You will need four booklets for four groups of student researchers.) Make several copies of each graphic organizer. Introduction Invite students to gather on the floor in front of you as you read aloud Fletcher and the Falling Leaves by Julia Rawlinson. Ask students the following questions: What is Fletcher’s problem in the story? (Answer: Fletcher was sad that the leaves were disappearing from the tree. He did not understand that the leaves were falling off the tree in preparation for winter.) What does Fletcher discover when he goes to visit the tree at the end of the story? (Answer: It is covered with shimmering icicles and is just as beautiful as it was before.)
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Turnaround Addition Facts
1st Grade
Objective
- Apply the commutative property of addition (e.g., if 6 + 4 = 10, then 4 + 6 = 10 is also known) when adding numbers together and solving for a sum.
Addition Strategies: "Make 10"
1st Grade - 2nd Grade
Objective Operations & Algebraic Thinking Using strategies to add and subtract fluently within 20 (e.g., counting on, making ten, decomposing or creating equivalent sums) Materials Needed “Make 10” frame Place Value Blocks Number line “Spin-To-Build” spinner “Build a Sum” record sheet Paper clips Pencils Introduction Pair students with partners, and give each pair 10 ones cubes and 1 tens rod from the Place Value Blocks set. Challenge students to see how many ways they can “make 10” in two minutes (e.g., 2 cubes + 8 cubes, 3 cubes + 7 cubes, etc.). Invite students to share their answers and compare. Provide the “Make 10” frame and have students complete it. Model the problem created in the frame. Ask, “How can I find out how to make 12? 14? 18? Can I start from 10? Is it faster?” Note: Use Place Value Blocks to show visual representations of two-digit numbers. For example, 14 is 1 tens rod and 4 ones cubes.
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Exploring Nonfiction Text
1st Grade - 2nd Grade
Objective CCSS Reading: Informational Text RI.4.5: Describe the overall structure (e.g., chronology, comparison, cause/effect, problem/solution) of events, ideas, concepts or information in a text or part of a text. Materials Needed “Artful Architecture” nonfiction reading selection Construction Paper - 9" x 12" (cut into 9-inch squares) Safety Scissors Lakeshore Glue Sticks Pencils or markers Introduction Explain to students that they are going to learn about some different types of buildings and architecture by reading a nonfiction selection. Tell students, “Today we are going to see how the author uses the organizational strategy of comparing and contrasting.”
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Gingerbread Graphing
Pre-K
Objectives Students will create a picture graph and interpret the data on the graph. Students will use verbal clues and reasoning skills to solve riddles. Materials Needed The Gingerbread Man by Jim Aylesworth Gingerbread Man Hunt clues Gingerbread Man template Gingerbread Man Cookies reproducible Scissors Gingerbread Man cookies (one for each student) Cookie sheet Kitchen towel Tagboard or construction paper (brown) Tape Chart paper and marker Pom-Poms Peel & Stick Jewels Collage Buttons Glue Preparation: For the Gingerbread Man hunt: Work with other teachers and staff to set up a Gingerbread Man hunt around your school! Print out the Gingerbread Man Hunt clues. Distribute clues 2 - 6 to the teachers and staff in the clue locations. Explain that students will come to them for the clues, and they should pretend to have just seen the Gingerbread Man! Place the gingerbread cookies in the final location—the cafeteria or other eating area. (If you do not want to use real cookies, you can print and precut paper cookies using the Gingerbread Man Cookies reproducible.) Tape the first clue onto the cookie sheet and cover it with the kitchen towel. Set it aside. For the graphing activities: On chart paper, draw a graph with three columns. Along the bottom, label the columns from left to right: “Head,” “Arm,” and “Leg.” Title the graph “Which Part of the Gingerbread Man Did You Bite First?” Print copies of the Gingerbread Man Cookies reproducible. Cut out one paper cookie for each student. (If you decide to distribute paper cookies instead of real cookies at the end of the hunt, students can use those for the graphing activity.) Print the Gingerbread Man template and reproduce it onto brown tagboard or construction paper. You will need one for each student. Introduction Read aloud The Gingerbread Man by Jim Aylesworth. After the story, tell students that you have prepared a Gingerbread Man cookie for them to eat. (If you are not using real cookies, tell students you have made a paper cookie for them to use in a special math project.) Then take out the covered cookie sheet and pull off the towel. Act surprised as you announce, “Oh no, our Gingerbread Man has run away! Look, he left a note for us to read!” Read the clue aloud to students.
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Multiplication Mania
3rd Grade
Objectives Students will find the product of a single-digit number and a double-digit number. Students will understand how rearranging the numerals affects the product of a single-digit number and a double-digit number. Materials Needed Baseball number cards template Multiplication Mania reproducible Scissors Introduction Write the problems 23 x 9 and 93 x 2 on the board. Ask students, “Do you notice anything similar about these two problems? Yes, they both use the same numerals but in different places.” Invite students to make a guess as to which product will be greater. Give them time to find the answers (23 x 9 = 207 and 93 x 2 = 186). Then ask students if they can think of different ways to arrange the three numerals so that the product would be greater than 207 or less than 186. Invite students to use a pencil and paper to work out some possible problems and their answers (such as 39 x 2 = 78, 29 x 3 = 87, 92 x 3 = 276 and 32 x 9 = 288).
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Which Objects Are Magnetic?
Pre-K
Objective Compare and classify objects by observable physical properties. Materials Needed Mickey’s Magnet by Franklyn M. Branley and Eleanor K. Vaughan or What Makes a Magnet? by Franklyn M. Branley Magnets or Magnetic Wands Pipe Stems (cut into 1-or 2-inch pieces) Pom-Poms Variety of small magnetic objects (e.g., paper clips, nuts or bolts, etc.) Variety of small nonmagnetic objects (e.g., rubber bands, plastic counters, feathers, etc.) Clear, empty 2-liter plastic bottles (at least two) Several plastic shoe box–sized containers (one for each small group of students) Sand or dried beans Magnetic/Not Magnetic sorting mat Introduction Read aloud Mickey’s Magnet or What Makes a Magnet?
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What’s the Weather? Highs and Lows Challenge
5th Grade
Objectives
- Understand coordinate systems and how to plot points on a coordinate plane.
- Represent real-world and math problems by graphing points in the first quadrant of the coordinate plane.
Colorful Discoveries
Pre-K
Objectives Identifying red, yellow and blue as primary colors Understanding and demonstrating how primary colors combine to create secondary colors Materials Needed Mouse Paint by Ellen Stoll Walsh Big Bubbles solution Lakeshore Big Bubbles Kit Several trays or containers (for the bubble solution) Red, yellow and blue food coloring Unruled Chart Tablet or White Butcher Paper Roll Introduction Read aloud Mouse Paint by Ellen Stoll Walsh.
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Number Sense Bingo
3rd Grade - 4th Grade
Objectives Students will build number sense. Students will use operations to solve math riddles. Materials Needed Candy hearts (one box per student) Bingo card reproducible Number Sense Bingo Riddles “Valentine Riddle” reproducible Bag or box
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Parentheses First! Order of Operations
5th Grade
Objective
- Solve expressions using the order of operations.
Place Value Riddles
2nd Grade
Objectives CCSS Math: Number & Operations in Base Ten 2.NBT.A.1: Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones. 2.NBT.A.3: Read and write numbers to 1000 using base-ten numerals, number names, and expanded form. Materials Needed Whiteboard or chart paper Base 10 blocks (optional) Place Value Math Riddles reproducible and answer key Introduction Tell students you are going to write a number riddle and ask them to solve it. Try these riddles: “I am 200 + 30 + 6. What number am I?” (236) “I have 5 hundreds, 7 tens and 9 ones. What number am I?” (579) “I am 400 + 8. What number am I?” (408) “I have 3 tens, 4 hundreds and 1 one. What number am I?” (431) Note: Point out that the last two riddles were a bit tricky since one number didn’t have any tens, and the other one named the number of tens before naming the number of hundreds!
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Counting Flowers
Pre-K
Objectives Students will count objects using one-to-one correspondence. Students will write numerals from 1 to 20 as an expression of quantity. Materials Needed Flowers and Showers: A Spring Counting Book by Rebecca Fjelland Davis Vase template Counting Flowers reproducible Flowers template Number cards template Cardstock Scissors Crayons Glue Preparation: Before the lesson, print out and cut apart the number cards template. Then print the flowers template and make four copies of the flowers with stems. Color the flowers and cut them out. Next print the vase template and copy it onto heavy cardstock. Cut along the dotted line at the top of the vase so that you can slide the stems through the slit as you add flowers to the vase. If desired, laminate these for repeated use. Introduction Read Flowers and Showers: A Spring Counting Book by Rebecca Fjelland Davis. Before reading the verse on each page, have students take turns identifying the number that is shown and counting the objects on the page. Then encourage students to listen as you read the verse that relates these objects to spring. Next teach children this simple counting song (to the tune of “Are You Sleeping?”). We love counting, We love counting, One, two, three, Four, five, six! Let’s count all the flowers In the pretty vases. Count with me, Count with me!
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Perimeter & Area
4th Grade
Objective
- Apply area and perimeter formulas for rectangles in real-world and mathematical problems.