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Skills: Solving problems using ordered pairs on a coordinate grid Teaching Points and Letters Identifying and analyzing plane figures Students explore ordered pairs in the first quadrant of the coordinate grid. Tasks Below Level Differentiated Activities for Teaching Key Math Skills: Grades 2-3 © Lee & Miller, Scholastic Teaching Resources Tier 2 Tier 1 On Level Tier 3 Above Level Locate and name points on a coordinate grid. X X X Encode or decode ordered-pair words. X X X Connect points on a coordinate grid to form plane figures. X X X Describe plane figures formed on a coordinate grid. X X X X X Analyze traits of plane figures to solve problems. Getting Started See the tips below for introducing the lesson. Make copies of the student data sheet (page 59) and the appropriate leveled activity sheet for each group of learners (pages 60–62). Access prior knowledge by using coordinate grids and ordered pairs, talking about secret codes, and recalling terms for spatial and positional reasoning (such as inside, outside, on). Tier 1 • Use the Grid: Identify (0, 0) on a coordinate grid as the point from which all other points are named (origin). Model “Over, then up!” to reinforce sequence in ordered pairs. Explain using parentheses and a comma to write ordered pairs. Complete the hidden word together and discuss the illustration. Then assign items 1–4. For items 5–7, have students list the letters in the same order as the ordered pairs that name them. • Points, Shapes, and Words: Provide rulers children can use to connect points. For items 8–10, some students might need to write letters on paper squares they can manipulate until they make words they know. Remind children to put coded letters in the same sequence as the ordered pairs that identify them. • Name Codes: Provide index cards or sentence strips children can use to list ordered pairs in sequence. You may want to have students trade cards to solve one another’s name codes. 58 Tier 2 Tier 3 • Use the Grid: Chant “Over, then up!” to locate points with ordered pairs. Review using parentheses and a comma to write ordered pairs. Stress that letters must be linked in the same order as the ordered pairs that identify them. • Use the Grid: Use “Over, then up!” for plotting points with ordered pairs. Stress that letters must be linked in the same order as the ordered pairs that identify them. • Points, Shapes, and Words: Have children use rulers to connect points and consult a math book or dictionary to spell shape names. For item 7, have students write each letter on a separate paper to manipulate until they identify the four words. • Points, Shapes, and Words: Challenge children to create other inside/outside questions to pose to classmates. • Code Riddles: After children decode the answer to the riddle, be sure they understand it. Provide riddle books, as well as index cards or sentence strips on which to write encoded riddles. You may want to have students trade cards to solve one another’s riddles. • Ask and Answer: Collect the question cards for an interactive bulletin board or a math center, or post them on a class website for others to solve and answer. Name Skills: Date Points and Letters: Solving problems using ordered pairs on a coordinate grid Data Sheet Identifying and analyzing plane figures All 26 letters of the alphabet are on the grid below. Each letter is on a point. You can name each point with an ordered pair. Differentiated Activities for Teaching Key Math Skills: Grades 2-3 © Lee & Miller, Scholastic Teaching Resources For example, find the letter A. It is on point (1, 5). A is 1 space to the right of 0 and 5 spaces up from 0. Which ordered pair Order matters in ordered pairs. Think: Over, then up. ( , ) on the grid has letter B? Take a look! The answer is (2, 2). 8 7 F M = 8 6 5 ? : < A ; H C I J L D E G @ 0 K 7 2 1 9 N 6 4 3 B 1 O > 2 3 4 5 6 7 8 You can use ordered pairs as a code. When you link ordered pairs together, you can spell words! Find the letter at each ordered pair shown below. What is the hidden greeting? (3, 7) (1, 1) (6, 2) (7, 7) (4, 6) H O W ____ ____ 59 Name Points and Letters: Date Activity Sheet Use the Grid Answer each question. 1. What letter is at (3, 5)? Differentiated Activities for Teaching Key Math Skills: Grades 2-3 © Lee & Miller, Scholastic Teaching Resources 2. What letter is at (6, 2)? 3. What is the ordered pair for U? 4. What is the ordered pair for P? 5. Which ordered pairs spell cat? 6. Which ordered pairs spell the word for a baby cat? 7. What do the letters at (4, 4) (5, 1) (1, 1) and (7, 5) spell? Points, Shapes, and Words Connect the points to answer the questions. 8. Draw a straight line to connect points (1, 5) and (7, 5). What other point is on that line? What word can you make with these three letters? 9. What shape do you make if you connect points (3, 7) (5, 3) and (7, 5)? What word do the points of this shape spell? Name Codes You need a blank card. 44 Figure out if you can use ordered pairs to spell your name. Write them on one side of the card. Front Your name in ordered pairs 44 Figure out the ordered pairs that spell a classmate’s name. Write them on the other side of the card. Back A classmate’s name in ordered pairs 60 Name Points and Letters: Date Activity Sheet Use the Grid Answer each question. 1. What letter is at (3, 5)? What is at (6, 2)? Differentiated Activities for Teaching Key Math Skills: Grades 2-3 © Lee & Miller, Scholastic Teaching Resources 2. Which ordered pairs spell frog? 3. What animal’s name is spelled with (1, 3) (3, 7) (1, 5) (5, 1) (2, 0)? 4. Can you use ordered pairs to spell your first name? Which ones? Which ordered pairs spell your last name? Points, Shapes, and Words Connect the points to answer the questions. 5. What shape do you make by connecting (3, 7) (5, 3) and (7, 5)? What word do the points of this shape spell? 6. Connect points (1, 3) (3, 3) (3, 1) and (1, 1). What figure do you make? What words can you spell with the letters at those points? 7. Connect points (6, 2) (1, 1) (2, 4) and (7, 4). What figure do you make? What animal name can you spell with these four points? What words can you spell with the letters inside this figure? Code Riddles Use ordered pairs to solve the riddle. Then try your own! What kind of house doesn’t weigh very much? Use these points to find the answer: (2, 4) (5, 0) (7, 5) (3, 7) (3, 3) (3, 7) (1, 1) (5, 3) (1, 3) (3, 5) Now make your own riddle on a blank card. 44 Write a riddle in words on one side of a card. Front Back 44 Write its answer in ordered pairs on the back. Riddle Answer 61 Name Points and Letters: Date Activity Sheet Use the Grid Answer each question. 1. What letter is at (3, 5)? Which one is at (6, 2)? Differentiated Activities for Teaching Key Math Skills: Grades 2-3 © Lee & Miller, Scholastic Teaching Resources 2. What is the ordered pair for U? What is it for P? 3. Which ordered pairs spell frog? 4. The following ordered pairs spell the name of a jungle cat. Which one? (2, 4) (3, 5) (1, 1) (3, 1) (1, 5) (5, 1) (7, 7) 5. Connect (1, 5) and (7, 5) with a straight line. What word can you spell with these three letters? Points, Shapes, and Words Connect the points to answer the questions. 6. Which animal’s name can you spell using the letters at these points: (1, 1) (2, 4) (5, 4) (5, 0)? 7. Connect (1, 3) (3, 3) (3, 1) and (1, 1). What shape do you make? What five words can you spell with its points? 8. Connect (2, 6) (1, 3) (3, 1) (5, 4) and (4, 6). What shape do you make? What two words can you spell with the 4 letters inside this figure? Use letters outside the figure. Which 4 ordered pairs spell the name for a short test? Ask and Answer Use the grid on the Data Sheet. 44 Think of a short question to ask a classmate. Write it down in words on the front of a blank card. 44 On the back of the card, write your question with ordered pairs. 62 Answer Key Differentiated Activities for Teaching Key Math Skills: Grades 2-3 © Lee & Miller, Scholastic Teaching Resources Points and Letters Tier 1, page 60: Use the Table: 1 . E, 2 . W, 3 . (5, 3), 4 . (3, 1), 5 . (2, 6) (1, 5) (3, 3), 6 . (2, 0) (5, 0) (3, 3) (3, 3) (3, 5) (5, 4); kitten 7 . frog; Shapes, Points and Words: 8 . (3, 5); age 9 . triangle; hug 10 . fun; Name Codes: Answers will vary. Check students’ ordered pairs. Tier 2, page 61: Use the Grid: 1 . E, W, 2 . (4, 4) (5, 1) (1, 1), (7, 5) 3 . shark, 4 . Answers will vary; Points, Shapes, and Words: 5 . triangle; hug 6 . square; stop, pots, post, spot, tops 7 . quadrilateral; wolf; tub, but; Code Riddles: Lighthouse; Answers will vary. Check students’ ordered pairs. Tier 3, page 62: Use the Grid: 1 . E, W 2 . (5, 3), (3, 1) 3 . (4, 4) (5, 1) (1, 1), (7, 5) 4 . leopard 5 . age; Points, Shapes, and Words: 6 . lion 7 . square; tops, stop, pots, post, spot 8 . pentagon; L, E, T, F; left, felt; (6, 8) (5, 3) (5, 0) (7, 1), quiz; Ask and Answer: Questions will vary. Check students’ ordered pairs. 79