Grade 1 Calendar Grid Answer Key
September Date Model Tens Ones Equation 1 Tally Mark 0 1 0 + 1 = 1 2 Bundles & Sticks 0 2 0 + 2 = 2 3 Ten-Frame 0 3 0 + 3 = 3 4 Tally Mark 0 4 0 + 4 = 4 5 Bundles & Sticks 0 5 0 + 5 = 5 6 Ten-Frame 0 6 0 + 6 = 6 7 Tally Mark 0 7 0 + 7 = 7 8 Bundles & Sticks 0 8 0 + 8 = 8 9 Ten-Frame 0 9 0 + 9 = 9 10 Tally Mark 1 0 10 + 0 = 10 11 Bundles & Sticks 1 1 10 + 1 = 11 12 Ten-Frame 1 2 10 + 2 = 12 13 Tally Mark 1 3 10 + 3 = 13 14 Bundles & Sticks 1 4 10 + 4 = 14 15 Ten-Frame 1 5 10 + 5 = 15 16 Tally Mark 1 6 10 + 6 = 16 17 Bundles & Sticks 1 7 10 + 7 = 17 18 Ten-Frame 1 8 10 + 8 = 18 19 Tally Mark 1 9 10 + 9 = 19 20 Bundles & Sticks 2 0 20 + 0 = 20 21 Ten-Frame 2 1 20 + 1 = 21 22 Tally Mark 2 2 20 + 2 = 22 23 Bundles & Sticks 2 3 20 + 3 = 23 24 Ten-Frame 2 4 20 + 4 = 24 25 Tally Mark 2 5 20 + 5 = 25 26 Bundles & Sticks 2 6 20 + 6 = 26 27 Ten-Frame 2 7 20 + 7 = 27 28 Tally Mark 2 8 20 + 8 = 28 29 Bundles & Sticks 2 9 20 + 9 = 29 30 Ten-Frame 3 0 30 + 0 = 30 31 Tally Mark 3 1 30 + 1 = 31 The Math Learning Center 0916 2
About the Pattern The patterns featured this month are described below. Revealing one calendar marker each day allows students to make and test predictions and to discover the pattern as new markers are added and their predictions are confirmed or proven false. Don t tell them what the patterns are: instead, allow them to pursue their own ideas and investigations. The first pattern most students will observe is the repeating ABC color pattern: orange, yellow, blue, orange, yellow, blue, and so on. This ABC pattern is also repeated in the models: tally marks, Bundles & Stickss, ten-frames. The quantity represented by the math model matches the date and grows by 1 each day. Notes: The Math Learning Center 0916 3
October Date Number Tree Math Story Equation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 4 Create math story with 4 4 students and record here. 4 + 0 = 4 4 3 + 1 = 4 3 1 4 2 + 2 = 4 2 2 5 5 + 0 = 5 5 0 5 4 + 1 = 5 4 1 5 3 + 2 = 5 3 2 6 6 + 0 = 6 6 0 6 5 + 1 = 6 5 1 6 4 + 2 = 6 4 2 6 3 + 3 = 6 3 3 7 7 + 0 = 7 7 0 7 6 + 1 = 7 6 1 7 5 + 2 = 7 5 2 7 4 + 3 = 7 4 3 8 8 + 0 = 8 8 0 8 7 + 1 = 8 7 1 8 6 + 2 = 8 6 2 8 5 + 3 = 8 5 3 8 4 + 4 = 8 4 4 9 9 + 0 = 9 9 0 9 8 + 1 = 9 8 1 9 7 + 2 = 9 7 2 The Math Learning Center 0916 4
Date Number Tree Math Story Equation 23 24 25 26 27 28 29 30 31 9 Create math story with 6 3 students and record here. 6 + 3 = 9 9 5 4 5 + 4 = 9 10 10 10 10 + 0 = 10 10 9 1 9 + 1 = 10 10 8 2 8 + 2 = 10 10 7 3 7 + 3 = 10 10 6 4 6 + 4 = 10 10 5 5 5 + 5 = 10 11 11 0 11 + 0 = 11 About the Pattern Following is a description of the patterns found in the October calendar marker set. Revealing one calendar marker each day allows students to make and test predictions and to discover the pattern as new markers are added and their predictions are confirmed or proven false. Don t tell them what the patterns are; instead, allow them to pursue their own ideas and investigations. Fall objects in four categories repeat in a series during the month: red and green apples, leaves in and out of a basket, acorns and walnuts, and pumpkins and squash. The quantity of fall objects represented grows by 1 each time that set of objects repeats. The number of calendar markers in a set of objects shown in a series repeats twice and grows by 1 (3 apple markers, 3 leaf markers, 4 nut markers, 4 squash markers, 5 apple markers, 5 leaf markers, 6 nut markers). Within the set of markers there is an inverse relationship between the two varieties of objects shown. (For example, as the number of red apples increases by 1, the number of green apples decreases by 1.) Notes: The Math Learning Center 0916 5
November Date Whole, half or fourths? Sentence 1 whole 2 The bear chomped down the whole cookie. 3 half 4 Each dog gulped half a cookie. 5 fourth 6 Each mouse nibbled on a fourth of a cookie. 7 whole 8 The bear chomped down the whole sandwich. 9 half 10 Each dog gulped half a sandwich. 11 fourth 12 Each mouse nibbled on a fourth of a sandwich. 13 whole 14 The bear chomped down the whole pizza. 15 half 16 Each dog gulped half a pizza. 17 fourth 18 Each mouse nibbled on a fourth of a pizza. 19 whole 20 The bear chomped down the whole cracker. 21 half 22 Each dog gulped half a cracker. 23 fourth 24 Each mouse nibbled on a fourth of a cracker. 25 whole 26 The bear chomped down the whole pie. 27 half 28 Each dog gulped half a pie. 29 fourth 30 Each mouse nibbled on a fourth of a pie. The Math Learning Center 0916 6
About the Pattern Following is a description of the patterns found in the November calendar marker set. Allow your students to discover these as the month progresses. The markers alternate picture, word(s), picture, word(s), picture, word(s) throughout the month. The snacks shown (cookie, sandwich, pizza, cracker, pie) go from a whole to a half to a quarter each time a new item appears. The shapes of the snacks alternate: circle, square, circle, square. The animals repeat in a pattern of 1 bear, 2 dogs, 4 mice. The words repeat in a pattern of Chomp!, Gulp. Gulp., nibble nibble nibble nibble. The words are in sets of 1 word, 2 words, and 4 words. One word in each set is printed in red to show fractions of a set (e.g., in the phrase nibble nibble nibble nibble, three of the nibbles appear in blue, while one appears in red). Notes: The Math Learning Center 0916 7
December Date Cylinder Rectangle Prism Sphere Cube 1 jar of peanut butter 2 crayons 3 grapes 4 blocks 5 marker 6 cup 7 Ice cream sandwich 8 rabbit cage 9 basketball 10 cherries 11 box 12 blocks 13 can of soup 14 water bottle 15 roll of pennies 16 puzzle 17 juice box 18 terrarium 19 snowman 20 globe 21 ball of yarn 22 blocks 23 polydrons 24 dice 25 trash can 26 candle 27 glass vase 28 can of cat food 29 box of chalk 30 box of mac-n-cheese 31 lockers The Math Learning Center 0916 8
About the Pattern Following is a description of the patterns found in the December calendar marker set. Allow your students to discover these as the month progresses. The shapes repeat in a pattern of cylinder, rectangular prism, sphere, cube. After the first sequence of four different shapes, the next repetition of the sequence uses 2 markers in a row featuring the same shape (2 cylinder markers, 2 rectangular prisms markers, 2 sphere markers, 2 cube markers). Then the pattern sequence begins again, this time with 3 markers in a row of the same shape. The final sequence begins with 4 in a row of the same shape. Notes: The Math Learning Center 0916 9
January Date Equation Number Tree Story Problem Solution 1 6 = 1 2 0 + = 2 6 5 1 2 0 2 Collaborate with students to write story problems to represent each equation. 5 2 3 3 = 2 + 3 2 1 1 4 7 = 4 7 3 4 3 5 2 = 5 5 3 2 7 6 + 3 = 6 6 3 3 3 7 7 = + 2 7 5 2 8 + 3 = 8 8 5 3 9 14 = 9 14 9 5 10 0 + = 10 10 0 10 11 11 = 5 + 11 6 5 12 16 = 12 16 12 4 13 4 = 13 13 4 9 14 + 7 = 14 14 7 7 15 15 = + 5 15 10 5 16 + 9 = 16 16 9 7 17 17 = 17 17 17 0 18 9 + = 18 18 9 9 19 19 = 9 + 19 10 9 20 30 = 20 30 20 10 21 8 = 21 21 13 8 The Math Learning Center 0916 10
Date Equation Number Tree Story Problem Solution 22 + 10 = 22 23 23 = + 3 24 24 = 12 + 25 25 = 25 26 19 + = 26 27 27 = 7 + 28 30 = 28 29 4 = 29 30 + 15 = 30 31 31 = + 20 22 12 10 23 3 20 24 12 12 25 25 0 26 19 7 27 20 7 30 28 2 29 25 4 30 15 15 31 11 20 Collaborate with students to write story problems to represent each equation. About the Pattern Here is a list of the patterns in this month s Calendar Grid sequence. There are always three equations and then a math story problem. The first of the three equations is always subtraction, while the two that follow involve addition. The story problems alternate between subtraction and addition through the month. Beginning after marker 3, every fourth marker (7, 11, 15, and so on) begins with the total or the difference (e.g., 3 = 2 + 1). The total or difference on each marker matches the date. Notes: The Math Learning Center 0916 11
February Date Shape A Shape B Sides Vertices A&B Congruent 1 triangle triangle 3 3 congruent 2 rectangle rectangle 4 4 not congruent 3 rhombus rhombus 4 4 congruent 4 other parallelogram other parallelogram 4 4 not congruent 5 trapezoid trapezoid 4 4 congruent 6 triangle triangle 3 3 not congruent 7 rectangle rectangle 4 4 congruent 8 rhombus rhombus 4 4 not congruent 9 other parallelogram other parallelogram 4 4 congruent 10 trapezoid trapezoid 4 4 not congruent 11 triangle triangle 3 3 congruent 12 rectangle rectangle 4 4 not congruent 13 rhombus rhombus 4 4 congruent 14 other parallelogram other parallelogram 4 4 not congruent 15 trapezoid trapezoid 4 4 congruent 16 triangle triangle 3 3 not congruent 17 rectangle rectangle 4 4 congruent 18 rhombus rhombus 4 4 not congruent 19 other parallelogram other parallelogram 4 4 congruent 20 trapezoid trapezoid 4 4 not congruent 21 triangle triangle 3 3 congruent 22 rectangle rectangle 4 4 not congruent 23 rhombus rhombus 4 4 congruent 24 other parallelogram other parallelogram 4 4 not congruent 25 trapezoid trapezoid 4 4 congruent 26 triangle triangle 3 3 not congruent 27 rectangle rectangle 4 4 congruent 28 rhombus rhombus 4 4 not congruent 29 other parallelogram other parallelogram 4 4 congruent 30 trapezoid trapezoid 4 4 not congruent 31 triangle triangle 3 3 congruent The Math Learning Center 0916 12
About the Pattern Here is a list of the various patterns in this month s Calendar Grid sequence. The shapes shown on the markers repeat in a sequence of five (triangle, rectangle, rhombus, other parallelogram, trapezoid). The two shapes shown on each marker alternate between being congruent or not congruent to each other. Notes: The Math Learning Center 0916 13
March Date Type of Clock Time Shown How much time has passed? 1 analog 12:00 2 analog 12:30 1/2 hour 3 analog 1:00 1/2 hour 4 analog 2:00 1 hour 5 digital 2:30 1/2 hour 6 analog 3:00 1/2 hour 7 analog 4:00 1 hour 8 analog 4:30 1/2 hour 9 analog 5:00 1/2 hour 10 digital 6:00 1 hour 11 analog 6:30 1/2 hour 12 analog 7:00 1/2 hour 13 analog 8:00 1 hour 14 analog 8:30 1/2 hour 15 digital 9:00 1/2 hour 16 analog 10:00 1 hour 17 analog 10:30 1/2 hour 18 analog 11:00 1/2 hour 19 analog 12:00 1 hour 20 digital 12:30 1/2 hour 21 analog 1:00 1/2 hour 22 analog 2:00 1 hour 23 analog 2:30 1/2 hour 24 analog 3:00 1/2 hour 25 digital 4:00 1 hour 26 analog 4:30 1/2 hour 27 analog 5:00 1/2 hour 28 analog 6:00 1 hour 29 analog 6:30 1/2 hour 30 digital 7:00 1/2 hour 31 analog 8:00 1 hour The Math Learning Center 0916 14
About the Pattern Here is a description of the patterns found in this month s Calendar Grid sequence. There are four analog clocks in a row; the color of the analog clock frames repeat in a red, yellow, green, brown pattern. Every fifth marker depicts a digital clock shown in a real-world context. Time on each clock increases sequentially from 12:00 to 12:00 and then starts over as it does during the day. The time shown on the clocks repeats in a pattern of 1/2 hour, 1/2 hour, 1 hour increments. Notes: The Math Learning Center 0916 15
April Date Figure Folds into equal parts exactly 2 at least 4 0 Is it symmetrical? 1 quadrilateral X yes 2 triangle X yes 3 pentagon X no 4 quadrilateral X yes 5 dodecagon X yes 6 hexagon X no 7 quadrilateral X yes 8 triangle X yes 9 quadrilateral X no 10 dodecagon X yes 11 pentagon X yes 12 quadrilateral X no 13 dodecagon X yes 14 quadrilateral X yes 15 letter X no 16 circle X yes 17 quadrilateral X yes 18 triangle X no 19 quadrilateral X yes 20 tridecagon X yes 21 pentagon X no 22 quadrilateral X yes 23 decagon X yes 24 quadrilateral X no 25 letter X yes 26 pentagon X yes 27 quadrilateral X no 28 quadrilateral X yes 29 oval X yes 30 hexagon X no 31 icosagon X yes The Math Learning Center 0916 16
About the Pattern Allow your students to discover these patterns as the month progresses. The figure on marker 1 can be folded into congruent fourths. The figure on marker 2 can be folded into congruent halves. The figure on marker 3 cannot be folded into congruent parts at all. This sequence continues through the month in an ABC pattern. The first two of every three figures are symmetrical, while the third is asymmetrical, forming an AAB pattern. Every fifth figure is an alphabet letter, resulting in an AAAAB pattern through the month. (The 6 letters can be unscrambled to form the word wholes, which is the answer to a riddle posed during Activity 5 this month.) Notes: The Math Learning Center 0916 17
May Date Start Moves Equation End 1 20 + 4 = 24 24 2 24 24 + 18 = 42 42 3 42 42 + 20 = 62 62 4 62 62 9 = 53 53 5 53 53 + 3 = 56 56 6 56 56 30 = 26 26 7 26 26 + 22 = 48 48 8 48 48 + 20 = 68 68 9 68 68 11 = 57 57 10 57 57 3 = 54 54 11 54 54 20 + 1 = 35 35 12 35 35 + 31 = 66 66 13 66 66 20 = 46 46 14 46 46 + 30 = 76 76 15 76 76 + 11 = 87 87 16 87 87 22 = 65 65 17 65 65 21 = 44 44 18 44 44 + 20 1 = 63 63 19 63 63 + 10 = 73 73 20 73 73 + 4 = 77 77 21 77 77 22 = 55 55 22 55 55 10 + 2 = 47 47 23 47 47 + 20 = 67 67 24 67 67 + 30 = 97 97 25 97 97 14 = 83 83 26 83 83 40 + 2 = 45 45 27 45 45 2 = 43 43 28 43 43 + 21 = 64 64 29 64 64 + 30 1 = 93 93 30 93 93 20 + 1 = 74 74 31 74 74 + 1 = 75 75 The Math Learning Center 0916 18
About the Pattern This month s patterns include: The marker background colors repeat: orange, purple, purple, yellow, yellow (ABBCC, ABBCC). The graphics on the markers repeat: story, arrows, arrows, puzzle, arrows, arrows, story (ABBCBB, ABBCBB). Notes: The Math Learning Center 0916 19