Addition Within 10: Adding two numbers where the sum does not exceed 10. This forms the foundation for all future addition skills.
- Learn the rhythm and melody of the addition song
- Connect the numbers to the musical pattern
- Visualize the numbers as you sing
- Practice until the fact becomes automatic
Imagine 3 apples and 4 oranges together.
Sing "Three and four make seven" to remember the fact.
Show 3 red dots and 4 blue dots equal 7 total dots.
Clap along with the song to reinforce the memory.
Count all items to confirm 3 + 4 = 7.
3 + 4 = 7
β’ Commutative Property: 3 + 4 = 4 + 3 = 7
β’ Addition Definition: Combining sets to find the total
β’ Memory Technique: Using music to encode mathematical facts
Number Bonds: Pairs of numbers that combine to make another number. For addition within 10, we focus on bonds that sum to 10 or less.
Imagine 5 stars and 2 moons together.
Sing "Five and two make seven" to remember the fact.
Show 5 yellow stars and 2 silver moons equal 7 celestial bodies.
Clap along with the song to reinforce the memory.
Count all items to confirm 5 + 2 = 7.
5 + 2 = 7
β’ Counting Strategy: Count all objects to find the total
β’ Number Recognition: Know the quantities represented by numerals
β’ Musical Memory: Use rhythm and melody to retain facts
Addition: The operation of combining two or more numbers to find their total or sum.
Imagine 6 cats and 3 dogs together.
Sing "Six and three make nine" to remember the fact.
Show 6 orange cats and 3 brown dogs equal 9 animals.
Clap along with the song to reinforce the memory.
Count all items to confirm 6 + 3 = 9.
6 + 3 = 9
β’ Combination: Joining separate sets to form one larger set
β’ One-to-One Correspondence: Matching each item to a number word
β’ Cardinality Principle: The last number counted represents the total quantity
Addition: The mathematical operation of combining two or more numbers to find their total.
Addition Within 10: Addition problems where both addends and the sum are 10 or less.
Number Bonds: Pairs of numbers that combine to make another number.
Song-Based Learning: Using rhythm, melody, and lyrics to memorize mathematical facts.
- Understand the concept: Grasp that addition combines sets
- Learn the facts: Memorize all addition combinations within 10
- Use songs: Employ musical patterns to aid memory
- Practice visualization: Use objects or drawings
- Reinforce through repetition: Sing regularly until automatic
β’ Commutative Property: a + b = b + a
β’ Identity Property: a + 0 = a
β’ Associative Property: (a + b) + c = a + (b + c)
β’ Cardinality: The last number counted represents the total
Counting On: Starting from one number and counting forward by the amount of the second number.
Imagine 4 ducks and 5 chicks together.
Sing "Four and five make nine" to remember the fact.
Show 4 yellow ducks and 5 yellow chicks equal 9 baby birds.
Clap along with the song to reinforce the memory.
Count all items to confirm 4 + 5 = 9.
4 + 5 = 9
β’ Commutative Property: 4 + 5 = 5 + 4 = 9
β’ Visual Representation: Using pictures to understand addition
β’ Musical Reinforcement: Songs help encode facts in long-term memory
Subitizing: The ability to instantly recognize small quantities without counting.
Imagine 2 bears and 7 bees together.
Sing "Two and seven make nine" to remember the fact.
Show 2 brown bears and 7 yellow bees equal 9 forest friends.
Clap along with the song to reinforce the memory.
Count all items to confirm 2 + 7 = 9.
2 + 7 = 9
β’ Counting Strategy: Count all objects to find the total
β’ Pattern Recognition: Notice that many combinations sum to 9
β’ Musical Encoding: Use rhythm to strengthen memory pathways
Addition: The mathematical operation of combining two or more numbers to find their total or sum.
Addition Within 10: Addition problems where both addends and the resulting sum are 10 or less.
Number Bonds: Pairs of numbers that combine to make another number (especially important for making 10).
Song-Based Learning: Using rhythm, melody, and lyrics to help memorize mathematical facts.
- Counting All: Count each object in both sets to find the total
- Counting On: Start from the first number and count up by the second number
- Using Doubles: Remember doubles facts (1+1, 2+2, etc.) as anchor points
- Number Bonds: Learn which numbers combine to make others
- Song Repetition: Sing addition facts to reinforce memory
β’ Commutative Property: a + b = b + a (order doesn't matter)
β’ Identity Property: a + 0 = a (adding zero changes nothing)
β’ Cardinality Principle: The last number counted represents the total quantity
β’ Conservation: The total remains the same regardless of arrangement
β’ Subitizing: Ability to instantly recognize small quantities without counting
Simple Examples:
- 1 + 1 = 2 (one apple and one apple make two apples)
- 2 + 3 = 5 (two cars and three cars make five cars)
- 4 + 4 = 8 (four fingers on one hand and four on the other make eight fingers)
Advanced Examples:
- 3 + 6 = 9 (three red blocks and six blue blocks make nine blocks total)
- 5 + 4 = 9 (five children and four adults make nine people)
- 2 + 8 = 10 (two cookies and eight cookies make ten cookies)