1. Numeracy 101 Karen Greer Jan Whisonant October Math Institute, 2010

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3. Objectives: To gain knowledge in basic numeracy teaching methods and provide teachers with lesson plans to implement in their classrooms. Skills will include number sense, place value, rounding, mean, mode, median, and basic fractions.

4. Numeracy 101 Standards Ladder Number Sense Math Symbols Currency Measurements Graphs and Charts Rounding, Estimation, Mean, Median, and Mode Decimals and Percents Ratios and Proportions Fractions Algebra Geometry Trigonometry

5. Numeracy Numeracy is the ability to deconstruct quantities, keep track of the parts, put the parts back together in a different way to solve a problem, and know that the answer makes sense.

6. Number Sense Activity: “ Call Me” Lesson Plan Handout

7. Mean, Mode, Median Card Game

8. What Do We Already Know? Sure, the words “Mean, Median, and Mode” all sound confusing… But what about the words we already know, like average, middle, and most frequent? They are all the same ideas!

9. Mean Definition: The average of a set of numbers.

10. Mean To find the mean (average), add all of the values in the set. Then divide the total by the number of values in the set.

11. Mean Example: Mary received the following grades on 5 reading tests: 78, 83, 96, 80, and 88. To find the mean, add the numbers and divide by 5. 425 5 = 85

12. Mean Let’s try it!

13. Median Definition: The median is the middle number in an ordered set of data.

14. To find the median: 1.Write the set of numbers in order from smallest to largest. 2.If there is an odd number of values, choose the middle value for the median. Median

15. Example: Joe worked 5.5 hours on Monday, 6 hours on Tuesday, 8 hours on Wednesday, 7.5 hours on Thursday, and 4.5 hours on Friday. What is the median number of hours he worked? To find the median, put the values in order: 4.5, 5.5, 6, 7.5, 8. Since there is an odd number of values, the one in the middle is the median. The median is 6.

16. Median If there is an even number of values, find the mean (average) of the two middle values.

17. Median Example: Rudy received the following grades on 6 math tests: 76, 82, 73, 93, 80, 76. To find the median, put the values in order: 73, 76, 76, 80, 82, 93. Since there is an even number of values, find the mean of the middle two: 76+80 156 2 = 2 = 78 The median is 78.

18. Median Let’s Practice!

19. Mode Definition: The mode is the value that appears most often in a set of numbers. If all of the values occur the same number of times, there is no mode.

20. Mode To find the mode, find the value that occurs most often.

21. Mode Example: Roxanne received the following grades on 5 science tests: 82, 95, 77, 82, 88. Roxanne scored an 82 twice, so the mode is 82.

22. Mode Example: Billy received the following grades in biology class: 88, 96, 67, 99, 83, 89. Since all the values occur the same number of times, there is no mode.

23. Mode Let’s try it!

24. “Deal Me In” Activity Refer to handout #3

25. Count and Read Whole Numbers Level 1, 1.1 Name numbers as dealt using all cards. reads as: four hundred seventy-eight 8 7 4

26. Identify Place Value Level 2, 1.2 Deal 6 cards and arrange from largest number to smallest number. Label each digit with its place value name. ten thousandsthousands hundreds tens ones 9 7 6 3 4

27. Identify and Use Math Symbols Level 1, 2.1 Make math symbol cards Use with playing cards to create practice problems. 8 4

28. Plotting Natural Numbers Level 1, 3.1 Play solitaire by going from lowest to highest and highest to lowest.

29. Addition and Subtraction Using 1 Digit Level 1, 4.1 5 3 7 2

30. Model and Apply Addition and Subtraction Level 1, 4.2 2 cards + 2 cards, then 2 - 2 cards 3 cards + 3 cards, then 3 cards - 3 cards 6 5 3 6 8 7 5 4 8 7

31. 4 cards on top using a decimal to make it $, then 2 to 4 cards of lesser value to subtract. Name currency that could be used to give change from top #. 8 6 1 2 4 5 5 8 Counting and Making Change Level 2, 5.2

32. Measurements Linear, weight, and volume terms and equivalents Level 1, 6.1 2 cards (1 for ft., 1 for in.) Convert to smaller unit. Do for each type of measurement. Do + and – problems using all types Level 5, 6.5 Convert to higher or lower measurement. ft. in. =

33. Rounding Levels 1, 2, 3, 4 14.1, 14.2 14.3 14.4 Using any number of cards dealt, round to specified place values.

34. Math Symbols and Calculations with Fractions Level 2, 2.2 Use popsicle stick for dividing line and put one card on top and one on bottom to make each fraction. Add symbol cards to add, subtract, multiply, or divide. Remind students to simplify answers.

35. Compare Fractions, Identify Mixed Numbers, and Decimals Level 3, 1.3 Create fractions with cards and popsicle sticks. Make improper fractions and practice changing to mixed numbers. Simplify where needed. Make multiple fractions and have students place them in order.

36. Equivalents: Fractions, Decimals and Percents Level 4, 1.4 Make fractions using 2 cards and popsicle sticks, 3 sets. Compare each as fraction, decimal, and percent.

37. Probabilities Level 4, 9.4, 9.4 Draw a card of any suit. Determine simple probabilities from entire deck.

38. Finale Sorting and counting- Kinesthetic mode 52 card pickup, then count and sort into suits.

39. Thank you! Thank you for your attendance at the Oct. 2010 Math Institute!