DEEP Math Themes up to 4th • Patterns help us to remember many facts as mathematical ideas. • Understanding patterns can lead to educated predictions. • Numbers can be represented in many ways, and used for different purposes. • Mathematical operations can be modeled in a variety of ways and used to describe events/situations. Themes up to 6th • Mathematical operations can be modeled in a variety of ways and used to describe events/situations. • Equivalent representations for the same value are used for different purposes. • Data helps people to understand situations and make informed decisions. • Graphical displays of numbers make it possible to spot patterns that are not otherwise obvious. Themes in 7th • Numbers can be represented in many ways, and used for different purposes. • Equivalent representations for the same value may help to make calculations simpler. • Understanding number theory concepts helps to represent numbers in different ways. Themes up in 8th • Situations can be represented in different ways for different purposes. • Understanding patterns can lead to educated predictions or solutions. • Data sometimes behave in predictable patterns (linear). TOPIC/OBJECTIVE Uncover number patterns Quickwrite In what ways do you use a number chart in your grade level to help students understand patterns? Special Numbers • • • • • • • • Your age The day you were born The number of people in your family Your favorite or “lucky” number Your shoe size The number of pets you have The number of relatives you have Your favorite sport’s player’s team jersey number Number Patterns: I DO/WE DO 1. Color all numbers that have a 2 in either the ones or tens place. 2. What patterns or number relationships do you see? Lets write a sample? 3. Are these relationships the same for other numbers. • Person 1 – Color all numbers that have a 6 • Person 2 – Color all numbers that have a 4 4. Choose a number and try this example again. Let’s Try This • Circle numbers 11, 22, 33, 44, 55, 66, 77, 88, 99. What do you notice? Are these patterns the same? • Square: Circle numbers 1, 12, 23, 34, 45, 56, 67, 78, 89. What patterns do you see? • Triangles: Circle numbers 5, 14, 23, 32, 41, 50. What patterns do you see? • Circles: Circle numbers 7, 16, 25, 34, 43, 52, 61, 70. What patterns do you see? Counting on, Counting Back 1. Find 22 and count on 3 more 2. Find 37 and count on 6 more 3. Find 63 and count on 2 more • What patterns to you see? Counting On, Counting Back II 4. Find 22 and count back 3 5. Find 37 and count back 6 6. Find 63 and count back 2 • How are your answers for 4-6 different from #1-3? What Patterns Did You Find? • • • • • Special Numbers Number Patterns Counting On, Counting Back Ten More, Ten Less Locating Number Neighbors Functional Writing • Could you improve your descriptions with today’s vocabulary?