# Mathematics

California Mathematics Content Standards

By the end of kindergarten, students understand small numbers, quantities, and simple shapes in their everyday environment. They count, compare, describe and sort objects, and develop a sense of properties and patterns.

Number Sense

1.0 (Key Concept) Students understand the relationship between numbers and quantities (i.e., that a set of objects has the same number of objects in different situations regardless of its position or arrangement):

- Fun Brain: Bunny count
- Funschool: Counting on a cloud
- Funschool: Fishing for numbers
- Funschool: Number matching
- Kidport: How many?
- Kidport: Same or different
- Learning Planet: Count your chickens
- Learning Planet: Number train
- Nick Jr.: Diego’s Railroad rescue
- PBS Kids: Sesame Street: Cooking with Rosita
- Story Place: Count the wheels

1.1 Compare two or more sets of objects (up to ten objects in each group) and identify which set is equal to, more than, or less than the other.

- AAA Math Comparing amounts I
- AAA Math Comparing amounts II
- Macmillan McGraw-Hill: Compare apples and oranges
- Macmillan McGraw-Hill: Wally and his amazing graph
- Macmillan McGraw-Hill: Wally and his amazing graph 2

1.2 Count, recognize, represent, name, and order a number of objects (up to 30).

- AAA Math Number of objects I
- AAA Math Number of objects II
- ABC Ya: Numerical order
- BBC: How many?
- BBC Number Time: Find the number
- BBC Number Time: Mend the number square
- BBC Number Time: Snakes and ladders
- Crickweb: Number track
- Disney: Mystery picture count up
- Fun Brain: Bunny count
- Funschool: Connect the numbers
- Gisele’s Big Backyard: Bees & honey
- Harcourt School: Count along to 100
- Kinderweb: Number learning game
- Learning Planet: Number train
- Learning Planet: 123 order
- Learning Planet: Rats! numbers – you do not need to download ActiveX
- Macmillan McGraw-Hill: Count the apples 1-10
- Macmillan McGraw-Hill: Count the apples 11-20
- Macmillan McGraw-Hill: Count the apples 21-30
- PBS Kids: Counting Koi
- PBS Kids: Curious George count your chickens
- PBS Kids: Curious George juggling george
- PBS Kids: Sesame Street Rosita’s Fiesta
- StoryPlace: Count the bananas

1.3 Know that the larger numbers describe sets with more objects in them than the smaller numbers have.

- Harcourt Brace: Math Carnival countdown
- Macmillan McGraw-Hill: Find the missing number Part 1
- Macmillan McGraw-Hill: Find the missing number Part 2
- Macmillan McGraw-Hill: Unscramble the eggs 0-5
- Macmillan McGraw-Hill: Unscramble the eggs 6-10
- Macmillan McGraw-Hill: Unscramble the eggs 11-20

2.0 Students understand and describe simple additions and subtractions:

- BBC Number Time: Test the toad
- Crickweb: Digit workout – select single digit addition to 20
- Crickweb: Digit workout – select single digit subtraction to 20
- Kidport: Addition
- Kidport: Subtraction
- Oswego Schools Math Magician: Addition
- Oswego Schools Math Magician: Subtraction

2.1 (Key Concept) Use concrete objects to determine the answers to addition and subtraction problems (for two numbers that are each less than 10).

- AAA Math Add objects I
- AAA Math Add objects II
- AAA Math Subtract objects I
- AAA Math Subtract objects II
- Dositey: Basic Addition facts
- Dositey: Basic Subtraction facts
- Funschool: Farm addition
- Funschool: Paint by addition
- Gisele’s Big Backyard: Butterfly count
- Kidport: Number sentences
- Macmillan McGraw-Hill: Add the apples part 1
- Macmillan McGraw-Hill: Add the apples part 2
- Macmillan McGraw-Hill: Add the apples part 3
- Macmillan McGraw-Hill: Take away the apples part 1
- Macmillan McGraw-Hill: Take away the apples part 2
- Macmillan McGraw-Hill: Take away the apples part 3
- Macmillan McGraw-Hill: Take away the apples part 4
- Macmillan McGraw-Hill: Unscramble the eggs-addition
- Macmillan McGraw-Hill: Unscramble the eggs-subtraction

3.0 Students use estimation strategies in computation and problem solving that involve numbers that use the ones and tens places:

3.1 Recognize when an estimate is reasonable.

Algebra and Functions

1.0 Students sort and classify objects:

- Nick Jr. The Backyardigans Mermaid garden matching
- Nick Jr. Dora’s Candy Land
- Sesame Street: Bert’s bottlecaps
- Sesame Street: Elmo’s playful pets
- Sesame Street: Walking the dogs
- Sesame Street: Zoe’s pet shelter

1.1 (Key Concept) Identify, sort, and classify objects by attribute and identify objects that do not belong to a particular group (e.g., all these balls are green, those are red).

- Disney: Maddy’s pinata birthday bash
- Disney: Mickey’s treasure hunt
- Disney: Mousekespotter
- Harcourt School: Money to build a robot
- Macmillan McGraw-Hill: Catch the fruit
- Macmillan McGraw-Hill: Sort the fruit part 1
- Macmillan McGraw-Hill: Sort the fruit part 2
- Macmillan McGraw-Hill: Sorting
- Macmillan McGraw-Hill: Which one does not belong
- McGraw-Hill Treasures: Mama Cat has three kittens
- National Library of Virtual Manipulatives: Attribute blocks
- NCTM Illuminations: Pan Balance – shapes
- Nick Jr. : Max and Ruby toy parade
- PBS Kids: Curious George I love shapes
- Scholastic: Let’s count
- Sesame Street: Bert’s bottlecaps
- Sesame Street: Elmo’s playful pets
- Sesame Street: Walking the dogs
- Sesame Street: Zoe’s pet shelter

Measurement and Geometry

1.0 (Key Concept) Students understand the concept of time and units to measure it; they understand that objects have properties, such as length, weight, and capacity, and that comparisons may be made by referring to those properties:

1.1 Compare the length, weight, and capacity of objects by making direct comparisons with reference objects (e.g., note which object is shorter, longer, taller, lighter, heavier, or holds more).

- Kidport: Taller or shorter
- Macmillan McGraw-Hill: Longer or shorter
- Macmillan McGraw-Hill: Magnificent measurement
- PBS Kids: Clifford Measuring up
- PBS Kids: Toopy and Binoo’s small, medium, and large
- Storyplace Which is bigger?

1.2 Demonstrate an understanding of concepts of time (e.g., morning, afternoon, evening, today, yesterday, tomorrow, week, year) and tools that measure time (e.g., clock, calendar).

1.3 Name the days of the week.

1.4 Identify the time (to the nearest hour) of everyday events (e.g., lunch time is 12 o’clock; bedtime is 8 o’clock at night).

2.0 Students identify common objects in their environment and describe the geometric features:

2.1 Identify and describe common geometric objects (e.g., circle, triangle, square, rectangle, cube, sphere, cone).

- Crickweb:3D shape match
- Disney: Crazy castle closets
- iKnowthat.com Dam jammer select “maybe later” when asked to register
- Kinderweb: Shape learning game
- Learning Planet: Rats! shapes
- Story Place: Story of shapes

2.2 Compare familiar plane and solid objects by common attributes (e.g., position, shape, size, roundness, number of corners).

- Crickweb: 3D shape match
- Fischer-Prices Little People: Shapes and colors
- Kidport: Shapes
- The Kidz Page: Put it on the shelf
- McGraw-Hill Treasures: Whose baby am I? A
- McGraw-Hill Treasures : Whose baby am I? B
- Primary Games: Shape sorter

Statistics, Data Analysis, and Probability

1.0 Students collect information about objects, and events in their environment:

1.1 Pose information questions; collect data: and record the results using objects, pictures, and picture graphs.

1.2 (Key Concept) Identify, describe, and extend simple patterns (such as circles or triangles) by referring to their shapes, size, or colors.

- Funschool: Crazy pattern machine
- Gisele’s Big Backyard: Polkaroo’s polka dot shorts
- Macmillan McGraw-Hill: Starfish theater pattern performers
- National Library of Virtual Manipulatives: Attribute train
- National Library Virtual Manipulatives: Color pattern
- Primary Games: Fishy count
- Primary Games: Pattern mania
- Sesame Street: Check out Cookie
- Stars or hearts?

Mathematical Reasoning

1.0 Students make decisions about how to set up a problem:

1.1 Determine the approach, materials, and strategies to be used.

1.2 Use tools and strategies, such as manipulatives or sketches, to model problems.

2.0 Students solve problems in reasonable ways and justify their reasoning:

2.1 Explain the reasoning used with concrete objects and/or pictorial representations.

2.2 Make precise calculations and check the validity of the results in the context of the problem.

- Crickweb: Digit workout – select single digit addition to 20
- Crickweb: Digit workout – select single digit subtraction to 20