# using graphics in the math classroom. benefits to using the graphics 1.students become familiar with...

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Using Graphics in the Math Classroom Slide 2 Benefits to using the Graphics 1.Students become familiar with the common pictures they will see 2.Students learn to to focus on all the information in graphics before starting the problems 3.Students review key concepts from previous instruction 4.Help students break down the problem by focusing on a small part or important sub-step 5.Students get frequent practice of key skills and vocabulary All graphics developed by Massachusetts Dept. of Education and have appeared on released tests Slide 3 How to use the Graphics 1.Flash them onto screen and pepper (cold call) students with questions. (They answer out loud or after talking to a partner.) 2. Have all students respond on white board. 3.Use the graphics as a Type One or Type Two Writing. Ask: 1.What is the key information? 2.What do you think the questions will be? 3.What vocabulary is related to this? 4.What kind of mistakes should you avoid? 5.How would you find??? What if??? 4.After practicing with these, use the Pepper Cards (see attached) to have students practice by self or with partner. 5.Use the sample cards to give you an idea of the kinds of questions you can ask. Slide 4 The following slides offer sample of the kinds of oral questions you might ask. Remember, you do not have to ask all of the questions These are just samples of question types. Mix it up with higher level and low level questions. Remember, a geometry question can become a fraction question with a little skill. What fraction of these lines are parallel? My favorites question types include: Who and what is it about? What math words go with this? What might they ask? What mistakes will be made? Go backwards (heres the area, what are the dimensions) What if Slide 5 Elementary Examples Slide 6 Slide 7 What are some math terms related to this picture? Which letters shows parallel lines ? What how would you describe the lines above letter L? What kind of an angle is formed at Letter O? How many degrees? If you wanted to make a parallelogram which lines would you use? What fraction of these lines are intersecting? What is the ratio of parallel lines to perpendicular lines? What is an example of parallel lines in real life? Slide 8 What is this graph called? What is this graph showing? How many plants sold Week 2? On what day were 30 plants sold? How many more on Week 2 and Week 1? A student said there were 21 plants sold on Week 3. What mistake is he making? What kinds of questions will be asked? What If they wanted to sell 200 plants, how many would they need to sell in Week 5? Slide 9 4,305 What is this number? Tell me in expanded form Round to nearest thousand? Explain Odd Even? Multiple of 5? Divisible by three? Explain What if you changed the 3 to a 6 how would the value change? Rearrange these digits and make the largest number possible. Smallest? How far away from 10,000? Double this number. Multiply this number 10. divide by 10.. Slide 10 Middle and High School Examples Slide 11 What does this show? What vocabulary words are related? What questions will be asked? How do you find the slope? What is the slope of this line? What are coordinates of y- intercept? Estimate coordinates of y intercept If slope is 1/3. What is slope of a line perpendicular to this one? Why? Y = 3x + 4. Is this the correct equation? Why not? Slide 12 What does this show? Where is it from? What does area mean? What kind of units to measure it? What does bh mean? When you have a parallelogram, thats not a rectangle, what should you be careful about when finding area? How is rectangle formula different from triangle? Why different? Explain how to use the trapezoid formula Whats a mistake people make when the formula calls for the height of a triangle? Whats the area of a circle with a diameter of 20 cm? What 2 mistakes to people make? (hint: they get an area of 40 cm.) Slide 13 What is this problem about? What you have to do first? What is absolute value? How do you find it? What incorrect answer to you think many students chose? Why? What if this problem asked for absolute value of -8 plus absolute value of 6? What would the answer be then? Slide 14 Key Graphics from Middle and High School Slide 15 Number Sense Slide 16 6 + 4 3 2 Slide 17 0.25 0.05 0.5 1.05 0.005 Slide 18 25% 5% 50% 105%.5% Slide 19 Slide 20 Slide 21 Slide 22 Slide 23 5/8 5/6 2/33/4 5/9 2/5 Slide 24 2 1/3 1 5/6 7/410/3 Slide 25 Slide 26 Slide 27 Slide 28 Slide 29 Slide 30 Slide 31 Slide 32 Slide 33 Slide 34 Slide 35 Slide 36 Slide 37 Slide 38 Slide 39 Slide 40 18 12 2 + 1 a.2 b.4 c.11 d.13 Slide 41 Slide 42 7 (-7) = 7 + (-7) = -4 + -5 = -4 5= (-7) 2 (-7)(6) (-8)(-8) Slide 43 Patterns and Algebra Slide 44 Slide 45 8 2x 2 = 10 Slide 46 2a 2 b Evaluate when a = 3 and b =4 Slide 47 Slide 48 Slide 49 ILOVEMATHILOVEMATHILOVEMATH Slide 50 Slide 51 Slide 52 Slide 53 Slide 54 Slide 55 Slide 56 Slide 57 Slide 58 Slide 59 Slide 60 Slide 61 Slide 62 Slide 63 Slide 64 Slide 65 Slide 66 Slide 67 Slide 68 Slide 69 Slide 70 Slide 71 Slide 72 Slide 73 Slide 74 Slide 75 Slide 76 Slide 77 Slide 78 Slide 79 Geometry Strand Slide 80 Slide 81 Slide 82 Slide 83 Slide 84 Slide 85 Slide 86 Slide 87 Slide 88 Slide 89 Slide 90 Slide 91 Slide 92 Slide 93 Slide 94 Slide 95 Measurement Strand Slide 96 Slide 97 Slide 98 Slide 99 Slide 100 Slide 101 Slide 102 Slide 103 Slide 104 Slide 105 Slide 106 prism 3 dimensions: length width, height VolumeSurface area Edges, vertices, faces Length x width x height Area of base x height 2(l x w) + 2(l x h) + 2(w x h) = SA What are key words for this shape? Slide 107 Slide 108 Slide 109 Slide 110 Slide 111 Slide 112 Slide 113 Slide 114 Slide 115 Slide 116 Slide 117 Slide 118 Slide 119 Slide 120 Data Strand Slide 121 Slide 122 Slide 123 Slide 124 Slide 125 Slide 126 Slide 127 Slide 128 Slide 129 Slide 130 Slide 131 Slide 132 Slide 133 Slide 134 Slide 135 Slide 136 Slide 137