Compare and Contrast T-CHART
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1 Using the Language of Comparison and Contrast Compare and Contrast T-CHART List the things that are similar or the same for (x+ 1)( x+ 4) and x + 9x+4on one side of the T- Chart and things that are different on other side. Compare Contrast Secondary Mathematics, 009
2 COMPARING GRAPHS 1 Tables Set 1 y = x y = x y = 3x y = 4x y = 5x y = x y = x y = 3x y = 4x y = 5x Graph California Mathematics Project ELDI-MC Algebra
3 COMPARING GRAPHS Tables Set y = -x y = -x y = -3x y = -4x y = -5x y = -x y = -x y = -3x y = -4x y = -5x Graph California Mathematics Project ELDI-MC Algebra
4 COMPARING GRAPHS 3 Tables Set 3 y =.5x y =.x y = x y = -.5x y = -.x y =.5x y =.x y = x y = -.5x y = -.x Graph California Mathematics Project ELDI-MC Algebra
5 COMPARING GRAPHS 4 Tables Set 4 y = x + 1 y = x + 3 y = x y = x - y = x - 4 y = x + 1 y = x + 3 y = x y = x - y = x - 4 Graph California Mathematics Project ELDI-MC Algebra
6 COMPARING GRAPHS 5 Tables Set 5 y = x - 1x y = x - x y = x y = x + x y = x + 1x y = x 1 = x = x y = x + = x +1x Graph California Mathematics Project ELDI-MC Algebra
7 COMPARING GRAPHS 6 Tables Set 6 y = x y = -x y = x - y = x + y = x + x y = x y = -x y = x - y = x + y = x + x Graph California Mathematics Project ELDI-MC Algebra
8 The Quadratic Formula Problem 1 Write in standard form and solve using the quadratic formula x = 4x + 30 Problem Write in standard form and solve using the quadratic formula q 6 = - 4q UCPDI/SDMP AC
9 Mathematically Speaking! Write your name and your partner s name. Person #1 explains how to solve the first problem to person #. Person # should mark a tally mark on the chart each time a vocabulary word is used. Encourage your partner to keep on talking until he or she has used all the target words. Then person # should explain how to solve the second problem while #1 marks on the chart. Mathematics Vocabulary coefficient discriminant formula identify opposite quadratic radical roots second degree polynomial square root standard form substitute #1 # What did you notice about the explanations? UCPDI/SDMP AC
10 Algebra Support Topic: Graphing Quadratic Functions Quadratic Functions Graph Match Activity Teacher Instructions: Xerox and have students cut apart the following pages of cards. When cutting, tell students to trim extra off of edges as edges will not match. Place one complete set in an envelope, one envelope per group (group size: 4). Provide each group with blank answer grids ( pages) and glue sticks (or tape) Students are to match the 4 representations Variations: Leave out of the envelope or three pieces (an equation from one row, a graph from another, a table from another). Students are required to generate the missing pieces. If students are working on graphing, leave out all of the graph pieces and require students to generate. If students are working on writing equations, leave out all of the equation pieces and require students to generate. LAUSD, Secondary Mathematics 009 1Adopted from Algebra Support Module
11 Verbal Description Tabular Representation Graph Symbolic Representation y is always x squared y = x This function is a direct variation with 4 times square of a number x y = 4x The opposite of half the value of x squared, when increased by results in the value of y y 1 = x + The sum of x squared and y is y = x + 4 y is a sum of 4 and the square of a number x y = x + 4 LAUSD, Secondary Mathematics 009 Adopted from Algebra Support Module
12 y is equal to the sum of and twice the square of a number x y = + x Double the square of x is equal to y increased by y = x 3 y is equal to the opposite of a square of a number x y = x The difference of y and double the square of a number x equals the sum of 4 and triple a number x y x 3x = + +4 The sum of y and half of a number squared equals the sum of that number and = + + y x x LAUSD, Secondary Mathematics 009 3Adopted from Algebra Support Module
13 Verbal Description Tabular Representation Graph Symbolic Representation LAUSD, Secondary Mathematics 009 4Adopted from Algebra Support Module
14 On Your Own Using the Language of Comparison and Contrast Listening & Speaking Page 1 1. Think about how (x+ 1)( x+ 4) and x + 9x+ 4 compare.. Fill in the blanks for both the Comparison Questions. Comparison Questions How are and similar? and are similar because both. What do and have in common? Both and have/are. How is like? Like, is/has. What is a significant similarity between and? A significant similarity between and is. What is another important comparison between and? Another important comparison between and is because. With Your Partner: practice speaking and listening to the language of comparison. 1. First Partner 1 one reads the Initiator questions and Partner answers as the Responder.. Then switch roles: Partner is the Initiator and Partner 1 is the Responder.
15 On Your Own Using the Language of Comparison and Contrast Listening & Speaking Page 1. Think about how (x+ 1)( x+ 4) and x + 9x+ 4 contrast.. Fill in the blanks for both the Contrast Questions. Contrast Questions How are and different? and are different because they have/are. What makes unlike? and are dissimilar because. How else do and differ? Unlike, is/has. What is a major difference between and? A major difference between and is. What is another significant difference between and? Another important difference between and is because. With Your Partner: practice speaking and listening to the language of contrast. 1. First Partner 1 one reads the Initiator questions and Partner answers as the Responder.. Then switch roles: Partner is the Initiator and Partner 1 is the Responder.
16 Using the Language of Comparison and Contrast Writing & Reading Page 3 On Your Own: Fill in the blanks of the Comparison/Contrast Paragraph Frame. Comparison/Contrast Paragraph Frame and are similar. Each (is/has). Like, also has. A significant similarity between the two is. Although they share many similarities, differs from because. An important difference between the two is. Perhaps the most significant difference is. On Your Own: Write your paragraph. With Your Partner: Reading the language of comparison and contrast. 1. First Partner 1 one reads her/his paragraph to Partner.. Then Partner one reads her/his paragraph to Partner 1.
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