1. Five Keys to Teaching with MathLine MathLine teachers have shared these 5 Keys to make sure you are successful helping your students

2. T: Say the number aloud as we count on MathLine Key 1: The most important key about using MathLine Is to understand there is one-to-one correspondence Between each ring and the number The number will ALWAYS correspond to the group of rings Continue counting to 25 Students must see the correspondence! T: And we see 1 ringT: And we see 2 rings T: And we see 3 rings

3. If you see students going back to count rings AFTER they have already gotten to an answer… You may need to re-teach 1-to-1 correspondence. Some students may learn the 1-1 correspondence and then forget. When you begin using MathLine the first 5 or 10 times, start with a quick counting refresher. TEACHER HINT

4. Key 2: MathLine is a tool to build the concept It is not a calculator or an abacus It will give students a deeper comprehension of math concepts It is a stepping stone to understanding

5. Take time to learn different ways to teach math Counting, understanding number and place value Counting, understanding number and place value TEACHER ADVICE And others like rounding, money, math properties, Prime & composite, pre-algebra, and more Addition, subtraction, multiplication, division Including regrouping and long division

6. Key 3: Blue rings indicate groups of 5 Red rings indicate groups of 10 Continue counting to 25 by groups of 5 AND Red rings indicate groups of 5 as well

7. Encourage students to use the colored rings when doing different math concepts on MathLine. Exploring on MathLine will help students develop their understanding of place value. MathLine creates a sense of order. FOR TEACHER ONLY

8. Grouping Method on MathLine Key 4: We have 6 apples We have 6 apples And 7 oranges And 7 oranges We put them in a basket. How many pieces of fruit in the basket? T: Let’s do this word problem to demonstrate the Grouping Method. The Grouping Method is a simple strategy to ensure students are accurate when using MathLine T: The Grouping Method is a simple strategy to ensure students are accurate when using MathLine

9. 6 + 7 = 6 + 7 = Key 4: The word problem is 6 plus 7 … T: The word problem is 6 plus 7 …

10. Key 4: Students should get a sum of 13 T: Students should get a sum of 13 T: Typically students first count 6 Then add 7 more T: Then add 7 more 6 + 7 = 6 + 7 =

11. Key 4: But sometimes students make mistakes. For example, when doing 6 plus 7, if we counted the first 6, and… T: But sometimes students make mistakes. For example, when doing 6 plus 7, if we counted the first 6, and…

12. Key 4: T: Then we need to add 7, they may count 1, 2, 4… 6 + 7 = 6 + 7 = T: Or they manipulate two rings instead of one ring 124 Should have been 3 T: And end up with the wrong answer, 14 instead of 13 for example

13. Key 4: T: Students make mistakes; for example they count wrong, move too many or too few rings, or they get distracted Grouping Method Grouping Method T: That is why we have the Grouping Method, which says… T: Let’s do the first one 1) Count the Groups 1) Count the Groups 2) Check the Groups 2) Check the Groups 3) Do the Operation 3) Do the Operation

14. Key 4: T: First count the groups, count a group of 6 Grouping Method Grouping Method T: And then a group of 7. T: Next, check the groups by recounting the rings in each group to make sure they are correct 1) Count the Groups 1) Count the Groups 2) Check the Groups 2) Check the Groups 3) Do the Operation 3) Do the Operation 123456 & 1234567 Notice the gap between the two groups. 6 + 7 = 6 + 7 =

15. Key 4: T: Lastly, do the operation. In this case, add together. Grouping Method Grouping Method T: After we do the operation, we get the sum 13 T: The Grouping Method is a simple method to ensure students manipulate correctly and get the correct answer 1) Count the Groups 1) Count the Groups 2) Check the Groups 2) Check the Groups 3) Do the Operation 3) Do the Operation 6 + 7 = 6 + 7 =13

16. Key 4: 6 apples 6 apples And 7 oranges And 7 oranges 13 pieces of fruit in the basket With MathLine, we see… T: With MathLine, we see… 6 + 7 = 13 6 + 7 = 13 The Grouping Method is effective for any time we are creating groups on MathLine, for skip-counting … T: The Grouping Method is effective for any time we are creating groups on MathLine, for skip-counting … and all operations including addition, subtraction, multiplication, division and more! T: and all operations including addition, subtraction, multiplication, division and more!

17. If we start a group on one bar… If we start a group on one bar… Key 5: T: But single bar models don’t apply like the Student31 or Junior20 This applies only to MathLines with multiple bars like the Student100 or Teacher100 MathLine. T: This applies only to MathLines with multiple bars like the Student100 or Teacher100 MathLine. It continues on the next bar. It continues on the next bar.

18. Key 5: T: Now count our next group of 10, 5 on top bar, 5 on next bar T: For example, let’s count by 10 up to 30. T: T: See the last part of the ten on the second bar T: T: See the first part of the ten on the first bar T: T: These two make up ten If we start a group on one bar… If we start a group on one bar… It continues on the next bar. It continues on the next bar.

19. Key 5: Have everybody repeat, “If we start a group on one bar, it continues on the next.” T: Have everybody repeat, “If we start a group on one bar, it continues on the next.” Now, Count 8 groups of 7 Now, Count 8 groups of 7 Again, if we start a group Again, if we start a group on one bar… It continues on the next bar. It continues on the next bar. Let’s do another example, let’s count by 8 groups of 7 (or count by groups of 7’s…. eight times) T: Let’s do another example, let’s count by 8 groups of 7 (or count by groups of 7’s…. eight times)

20. Key 5: T: Start by counting 8 groups of 7 T: For the next group of 7, the Key applies… start counting 7 12 3 4 T: We get to 4, so continue counting to 7 on the next bar If we start a group on one bar… If we start a group on one bar… It continues on the next. It continues on the next. 567 T: We see 4 groups of 7, now continue counting groups of 7 T: And count our last group of 7, the Key applies… 1 234567

21. Recap 5 Keys to teaching with MathLine

22. Key 1: Understanding 1-1 correspondence Key 2: MathLine is a tool to uniquely model K-5 math to give a deeper comprehension math to give a deeper comprehension Key 3: Blue rings indicate groups of 5, red rings indicate groups of 10 (and 5) indicate groups of 10 (and 5) Key 4: Grouping Method: 1) Count the Groups 1) Count the Groups 2) Check the Groups 2) Check the Groups 3) Do the Operation 3) Do the Operation Key 5: If we start a group on one bar, it continues on the next. on the next.