Standard 2: Algebra Benchmark 1: Patterns

Transcription

1 Organizer Kindergarten First Grade Second Grade Third Grade Fourth Grade Fifth Grade Sixth Grade Seventh Grade Eighth Grade Ninth and Tenth Grade classifies and/or sorts... K.5...concrete objects by similar attributes uses, identifies, states, and/or continues for repeating for repeating for repeating for repeating for repeating K.1...a pattern for repeating and growing Patterns generates whole numbers, shapes with one attribute change, and daily life numbers that increase, shapes, the calendar. numbers that increase, shapes, the calendar. numbers that increase or decrease, shapes including one attribute change, numbers that increase or decrease, shapes including one attribute change, numbers, shapes through two attributes changes, daily life, things related to size, shape, color, Scope and Sequence 4/28/2006 Page1

2 classifies and/or sorts... Algebra I Geometry Algebra II Trigonometry Statistics Calculus Applied Math I Applied Math II uses, identifies, states, and/or continues generates Scope and Sequence 4/28/2006 Page2

3 Organizer Kindergarten First Grade Second Grade Third Grade Fourth Grade Fifth Grade Sixth Grade Seventh Grade Eighth Grade Ninth and Tenth Grade Patterns identifies, states, and/or continues generalizes, and/or recognizes and kinesthetic A.1...generalizes the following pictorial, and/or oral descriptions including the use of concrete objects for repeating for the AB pattern, the ABC pattern, and the AAB pattern, shapes with one attribute change A.1...the following pictorial, oral, and/or descriptions including the use A.1...these a description for whole number, shapes, calendar, of concrete objects for whole number and using size,, shape, color, using shapes, calendar, and A.1...the following a description for counting numbers related to number theory, whole number, shapes, measurement, and size, shape, color, A.1...the following a description for counting A.1... using a description for numerical numbers related to, number theory, whole number, shapes, measurement, and size, shape, color, shapes through two attribute changes, measurement, and related to daily life K.1... add: for including perfect squares, factors and multiples (number theory), positive rational numbers limited to two operations, arithmetic sequences, figures through two attribute changes, and things related to daily life A.1...the same general pattern representations for numeric, visual, and K.1 add: for including perfect squares, cubes, factors and multiples (number theory), positive rational numbers with arithmetic and sequences, figures, and things related to daily life A.1...a pattern by giving the nth term using symbolic notation K.1...add: for including perfect squares, cubes, and factors and multiples with positive rational numbers (number theory), rational numbers including arithmetic and sequences, figures, variables and simple expressions A.1...numerical algebra and then translates between the equation, graph, and table of values resulting from the generalization K.1 add: for arithmetic and sequences using real numbers and/or exponents, figures, algebraic including consecutive number or equations of functions, and special A.1...the same general pattern representations for numeric, visual, and Scope and Sequence 4/28/2006 Page3

4 identifies, states, and/or continues Algebra I Geometry Algebra II Trigonometry Statistics Calculus Applied Math I Applied Math II K.1 add: for arithmetic and sequences using real numbers K.1 add: for figures, algebraic including K.1 add:exponen ts, logarithmic, algebraic including and/or exponents, consecutive consecutive number or number or figures, algebraic including consecutive number or equations of functions, and special equations of functions, and special equations of functions, and special generalizes, and/or recognizes A.1...the same A.1...the same general pattern general pattern representations for representations for numeric, visual, numeric, visual, and and Scope and Sequence 4/28/2006 Page4

5 Organizer Kindergarten First Grade Second Grade Third Grade Fourth Grade Fifth Grade Sixth Grade Seventh Grade Eighth Grade Ninth and Tenth Grade recognizes A.2...multiple A.2...multiple A.2...multiple A.2...multiple A.2...multiple A.2...multiple A.2...multiple representations of representations of representations of representations of representations of representations of representations of the AB pattern the same pattern the same pattern the same pattern the same pattern the same pattern the same pattern A.2...the same general pattern representations for numeric, visual, and A.2...the same general pattern representations for numeric, visual, and generates and/or explains K.4...repeating K.4...repeating K.4.a. generates: for the AB for the AB repeating pattern, ABC pattern, and AAB pattern and growing that add 1, 2, or pattern, ABC pattern, and AAB pattern and growing that add 1, 2, 5, or K.4.b. generates: growing 10 to continue the 10. pattern K. 4...repeating, growing, and function tables K. 4...repeating, growing, and function tables K. 4...repeating, growing, and function tables K.2...a pattern (repeating, growing) K.2...a pattern K.2 & K.3...a pattern limited to two operations (addition, subtraction, multiplication, division, exponents) when given the rule for the nth term K.2 & K.3...a pattern and classify as arithmetic,, or neither Patterns uses A.3...concrete A.3 add: fives objects to model a whole number pattern for counting by ones, twos, and tens A.3 add: twentyfives extends, describes and/or plots when given a rule of one or two simultaneous operational changes between consecutive terms when given a rule of one or two simultaneous operational changes between consecutive terms K.5...pattern when given a table of linear values and plots the ordered pairs on a coordinate plane states K.4...the rule to find the next number of a pattern with one operational change to move between consecutive terms K.4...the rule to find the nth term of a pattern with one operational change for addition or subtraction between consecutive terms K.4...the rule to find the nth term of a pattern using explicit symbolic notation Scope and Sequence 4/28/2006 Page5

6 recognizes Algebra I Geometry Algebra II Trigonometry Statistics Calculus Applied Math I Applied Math II generates and/or explains K.2 & K.3...a pattern and classify as arithmetic,, or neither uses extends, describes and/or plots states K.5...pattern when given a table of linear values and plots the ordered pairs on a coordinate plane K.5...pattern when given a table of linear values and plots the ordered pairs on a coordinate plane K.5...pattern when given a table of values and plots the ordered pairs on a coordinate plane can determine a linear, quadratic, exponential, and/or Scope and Sequence 4/28/2006 Page6

7 Organizer Kindergarten First Grade Second Grade Third Grade Fourth Grade Fifth Grade Sixth Grade Seventh Grade Eighth Grade Ninth and Tenth Grade Patterns defines and/or finds solves K.4...a recursive or explicit formula for sequences and finds any particular term A.2...real-world problems with sequences by using the explicit equation of the sequence Scope and Sequence 4/28/2006 Page7

8 defines and/or finds Algebra I Geometry Algebra II Trigonometry Statistics Calculus Applied Math I Applied Math II K.4...a recursive or K.4...a recursive or explicit formula for explicit formula for sequences and sequences and finds any particular finds any particular term term solves A.2...real-world problems with sequences by using the explicit equation of the sequence A.2...real-world problems with sequences by using the explicit equation of the sequence Scope and Sequence 4/28/2006 Page8