# Mathematics - Grade Kindergarten   (#5012020)

## General Course Information and Notes

### General Notes

In Kindergarten, instructional time should focus on two critical areas: (1) representing and comparing whole numbers, initially with sets of objects; (2) describing shapes and space. More learning time in Kindergarten should be devoted to number than to other topics.

1. Students use numbers, including written numerals, to represent quantities and to solve quantitative problems, such as counting objects in a set; counting out a given number of objects; comparing sets or numerals; and modeling simple joining and separating situations with sets of objects, or eventually with equations such as 5 + 2 = 7 and 7 – 2 = 5. (Kindergarten students should see addition and subtraction equations, and student writing of equations in kindergarten is encouraged, but it is not required.) Students choose, combine, and apply effective strategies for answering quantitative questions, including quickly recognizing the cardinalities of small sets of objects, counting and producing sets of given sizes, counting the number of objects in combined sets, or counting the number of objects that remain in a set after some are taken away.

2. Students describe their physical world using geometric ideas (e.g., shape, orientation, spatial relations) and vocabulary. They identify, name, and describe basic two-dimensional shapes, such as squares, triangles, circles, rectangles, and hexagons, presented in a variety of ways (e.g., with different sizes and orientations), as well as three-dimensional shapes such as cubes, cones, cylinders, and spheres. They use basic shapes and spatial reasoning to model objects in their environment and to construct more complex shapes.

### General Information

Course Number: 5012020
Course Path:
Course Length: Year (Y)
Course Status: Course Approved

## Educator Certifications

One of these educator certification options is required to teach this course.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this course.

## Original Student Tutorials

Stars and Stripes Part 1: Sorting Into Groups:

Learn about the American flag by identifying colors and shapes and sorting parts of flag designs into groups in this interactive S.T.E.M. and civics integrated tutorial.

This is part 1 of 2-part series, click HERE to view part 2.

Type: Original Student Tutorial

Lucy is 5! Recognizing and Writing Number 5:

Learn to how to recognize and write the number 5 and count up to 5 objects using 10 frames and number lines as you help Lucy the dog plan a party in this interactive tutorial.

Type: Original Student Tutorial

Circus Time With Number 4, Recognizing and Writing Number 4:

Help Lucy the dog recognize and write number 4.  She will also learn to count up to 4 objects using a ten frame and number line in this interactive tutorial.

Type: Original Student Tutorial

Hopscotch Counting On: 11-20:

Count on beginning at any number within 11-20 in this playground-themed, interactive tutorial.

This is part 2 in a two-part series. Click to open Part 1, Hopscotch Counting On: 1-10.

Type: Original Student Tutorial

Hopscotch Counting On: 1-10:

Count on beginning at any number within 1-10 in this interactive tutorial.

Type: Original Student Tutorial

We Have 2 Bones! Recognizing and Writing Number 2:

Help Lucy and Izzy learn to recognize and write the number 2. In this interactive tutorial, you'll also count two objects and use a 10 frame and a number line.

This is part 2 in a multi-part series. Click below to open the other tutorials.

Type: Original Student Tutorial

Where Is My Bone? Recognizing and Writing Numbers 0 and 1:

Help Lucy and Izzy explore the numbers 0 and 1 using writing, ten frames and number lines in this interactive tutorial.

Type: Original Student Tutorial

Washing Hands: Counting to 20:

Learn how to wash your hands and count to 20 in this interactive tutorial.

Type: Original Student Tutorial

Sorting Shapes:

Learn to sort and identify two-dimensional and three-dimensional shapes in this carnival-themed interactive tutorial.

Type: Original Student Tutorial

Sweet Sorting:

Practice sorting, counting, and comparing by visiting the Sorting Sweet Shop in this candy-themed, interactive tutorial.

Type: Original Student Tutorial

Farm Baby Rescue Part 1: Up and Down Positions:

Relative positions include up and down, top and bottom, over, on, and under, and above and below. Learn different types of up and down positions to rescue eight chicks in this farm-themed, interactive tutorial.

Type: Original Student Tutorial

Ten on the Farm:

Help Farmer Betsy! You'll use multiple strategies to make a ten and write equations in this interactive tutorial.

Type: Original Student Tutorial

The Search for Shapes: Recognizing Rectangles and Squares:

Identify and name rectangles and squares based on their defining attributes, even if they have different sizes or positions. Join King Geo and his scout, Quad, as they search for rectangles and squares in this interactive tutorial.

This is part of a series on the defining attributes of shapes. Click the links below.

Type: Original Student Tutorial

The Search for Shapes: Exploring Hexagons:

Help find hexagons based on their defining attributes for King Geo in this interactive tutorial. Learn what makes a hexagon a hexagon.

This is part of a series on the defining attributes of shapes. Click the links below.

Type: Original Student Tutorial

The Search for Shapes: Tracking Triangles:

Track down triangles based on their defining attributes for King Geo in this interactive tutorial.  Learn what makes a triangle a triangle.

This is part of a series on the defining attributes of shapes. Click the links below.

Type: Original Student Tutorial

Counting on by Ones When Given Any Number From 0 through 20:

Practice counting on by ones from a given number zero through twenty, as you help Miranda and Jacob in this interactive tutorial.

Type: Original Student Tutorial

The Shape Factory with Robbie the Robot:

Learn to combine simple shapes to compose larger shapes with Robbie the Robot in this interactive tutorial.

Type: Original Student Tutorial

Count a Group of 0 to 5 Objects:

Help Gabriella and Olivia count groups of objects from 0 to 5 in this interactive tutorial.

Type: Original Student Tutorial

Building Shapes With Becca:

Help Becca identify and build shapes that you see in the world around you as you complete this interactive tutorial.

Type: Original Student Tutorial

Briana's Shape Playground:

Learn how to identify the similarities and differences in the number of sides of two-dimensional shapes in this interactive tutorial.

Type: Original Student Tutorial

Counting by Ones:

Join Thomas and count to twenty by ones in this interactive tutorial.

Type: Original Student Tutorial

I Can Count... By Ones to Ten:

Learn to count to ten by ones with this interactive tutorial.

Type: Original Student Tutorial

## Educational Games

Curious George - Blast Off!:

Help George count backwards to launch a rocket.

Type: Educational Game

Curious George - Bubble Pop:

Count along with George by popping bubbles from his bath. You can pop the bubbles by counting out loud with George if your computer has a microphone. If your computer does not have a microphone, you can click on the bubbles to count!

Type: Educational Game

Is it 2D or 3D?:

Score points by sorting 2D and 3D shapes into the correct basket as they fly by. Lose points if you answer incorrectly.

Type: Educational Game

Type: Educational Game

Match the 2D Shape:

Play the concentration game. Match the 2D shape to the correct name.

Type: Educational Game

Curious George - Hat Grab:

Help George figure out which color hat is the most popular by grabbing hats from people's heads at the airport.

Type: Educational Game

Curious George - Flower Garden:

Flowers are popping up everywhere! Help George keep track of how many there are by counting with him.

Type: Educational Game

Curious George - Hide and Seek:

Help George search for hidden numerals, number words, and animals in this hide-and-seek game.

Type: Educational Game

Curious George - Bug Catcher:

Help George catch bugs with a net to find which group has more.

Type: Educational Game

Curious George - Count with George and Allie:

Count along as Allie counts up to 20 objects in a counting book for George.

Type: Educational Game

Curious George, Museum of Tens:

Help George make museum displays by picking the number of items that need be added to make 10.

Type: Educational Game

Estimate and Measure - Sticky Math!:

This is an educational game in which the student manipulates sticky buns to estimate and measure baking pans. The site features a kid's voice that walks the student through math explanations, game directions, and tips for estimating and measuring objects.

Type: Educational Game

## Educational Software / Tool

Hundreds Chart:

A printable hundreds chart featuring a 10x10 table numbered 1 to 100. (found on Illuminations website under "Trading for Quarters")

Type: Educational Software / Tool

## Presentation/Slideshow

Counting- A World of Numbers :

In this lessons students will use this accessible, easy-to-read book that shows objects up to ten. It can be downloaded and used with PowerPoint, Impress, or Flash. It can be used on the Intellikeys keyboard with a custom overlay, or even used with 1-3 switches.

Type: Presentation/Slideshow

## Tutorial

Measuring Length With No Gaps or Overlaps:

In this video tutorial from Khan Academy, called, "Measuring a golden statue", we see an example of how to solve a problem in which we measure an object with same-size length units that span it with no gaps or overlaps.

Type: Tutorial

## Video/Audio/Animation

100's Day:

What does 100 look like? Sound like? Feel like? In this video from Teacher's Domain, Curious George helps students explore the many ways to measure 100 things.

Type: Video/Audio/Animation

## Virtual Manipulatives

Counting on and back:

This interactive Flash applet supports the exploration of numbers to 100 by simulating a 100-bead string. A teacher or child can move all or some beads to the left or right to add and subtract. The controls allow users to move beads individually or 10 at a time to model different counting and calculation strategies. Users can hide or show the numbers represented by the beads. This applet lends itself well to use on an interactive white board. A PDF guide to this collection of teaching applets is cataloged separately.

Type: Virtual Manipulative

Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Type: Virtual Manipulative

Patch Tool:

This virtual manipulative allows you to create patches and more complex figures using the provided 2-dimensional geometric shapes.

Type: Virtual Manipulative

Five Frame :

This applet contains four games (How Many?, Build, Fill, and Add) that utilize a frame with five slots for students to place objects, which helps students develop counting and addition skills.

Type: Virtual Manipulative

Ten Frame:

This applet contains four games (How Many?, Build, Fill, and Add) that utilize a frame with ten slots for students to place objects, which helps students develop counting and addition skills.

Type: Virtual Manipulative

Shape Cutter:

This virtual manipulative allows students to draw geometric shapes and then decompose and recompose them into other shapes, using slides, turns, and flips to cut and move pieces around.

Type: Virtual Manipulative

Long or Short?:

This is an interactive game where students are prompted to distinguish between a longer or shorter object. The tool increases in difficulty as the student progresses.

Type: Virtual Manipulative

Okta's Rescue (Counting Success):

This applet asks students to save as many octopuses as possible before the timer runs out. A number of how many they can net is displayed in the top right, and they will use the mouse to net that amount into the tank before releasing them for the next round. When the timer is up, another screen comes up with the number of octopuses saved represented in rows of ten. Finally, students will be asked to input on a number line how many they successfully saved.

Type: Virtual Manipulative

How Many Are Under The Shell?:

This site features an interactive game to help students develop number sense and fluency with addition and subtraction facts to 10. Okta the octopus hides some bubbles under a shell, and then either adds more bubbles or takes some away. Students have to determine how many bubbles are left under the shell. The number of bubbles Okta works with can be set to a desired number or the student can select random draw. This allows for focus with a preferred number if desired by the teacher or student.

Type: Virtual Manipulative

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this course.
MAFS.K
In Kindergarten, instructional time should focus on two critical areas: (1) representing, relating, and operating on whole numbers, initially with sets of objects; (2) describing shapes and space. More learning time in Kindergarten should be devoted to number than to other topics.

(1) Students use numbers, including written numerals, to represent quantities and to solve quantitative problems, such as counting objects in a set; counting out a given number of objects; comparing sets or numerals; and modeling simple joining and separating situations with sets of objects, or eventually with equations such as 5 + 2 = 7 and 7 – 2 = 5. (Kindergarten students should see addition and subtraction equations, and student writing of equations in kindergarten is encouraged, but it is not required.) Students choose, combine, and apply effective strategies for answering quantitative questions, including quickly recognizing the cardinals of small sets of objects, counting and producing sets of given sizes, counting the number of objects in combined sets, or counting the number of objects that remain in a set after some are taken away.

(2) Students describe their physical world using geometric ideas (e.g., shape, orientation, spatial relations) and vocabulary. They identify, name, and describe basic two-dimensional shapes, such as squares, triangles, circles, rectangles, and hexagons, presented in a variety of ways (e.g., with different sizes and orientations), as well as three-dimensional shapes such as cubes, cones, cylinders, and spheres. They use basic shapes and spatial reasoning to model objects in their environment and to construct more complex shapes.