Sequences
2.1 Recognizing Patterns and Sequences
Explanation
Practice Problems:
Exploding Dots (click on an island and complete the stations)
websites on recognizing patterns:
Use of Fibonacci Sequence for art
Teacher Resources:
2.2 Identifying Arithmetic and Geometric Sequences
Explanation:
Khan article: Intro to arithmetic sequences
Khan video: Extending arithmetic sequences
Khan video: Extending geometric sequences
Practice Problems:
IXL: Algebra 1 P.1 Identify arithmetic and geometric sequences (X76) - score of 80
IXL: Algebra 1 P.2 Arithmetic sequences (ALG) - regular 70; honors: 85
IXL: Algebra 1 P.3 Geometric sequences (HLJ) - regular 70; honors: 85
Khan exercise: Extend arithmetic sequences
Khan exercise: Extend geometric sequences
Khan exercise: Extend geometric sequences: negatives & fractions (honors only)
2.3 Arithmetic sequences
Explanation:
Khan video: Using arithmetic sequences formulas (the first example is explicit and the second is recursive)
Khan article: Intro to arithmetic sequence formulas
Khan video: Worked example: using recursive formula for arithmetic sequence
Khan article: Recursive formulas for arithmetic sequences
Khan video: Arithmetic sequence problem
Khan article: Arithmetic sequences review
Practice problems:
Khan exercise: Use arithmetic sequence formulas - both explicit and recursive
Khan exercise: Recursive formulas for arithmetic sequences
IXL Algebra 1 P.7 Write variable expressions for arithmetic sequences (5VF) - in any explicit format - score of 70
2.4 Geometric sequences
Explanation:
Khan video: Intro to geometric sequences
Khan video: Using recursive formulas of geometric sequences
Khan video: Using explicit formulas of geometric sequences
Khan article: Geometric sequences review
Practice Problems:
IXL: P.8 Write variable expressions (explicit) for geometric sequences (XPC) - regular: score 70; honors: 80
Khan exercise: Use geometric sequence formulas
Khan exercise: Recursive formulas for geometric sequences
2.5 Mixed Review: Writing Equations of Sequences
Explanation
Practice Problems:
IXL: Algebra 1 P.9 Write a formula for a recursive sequence (KP9) - regular score of 60; honors 80
IXL: Algebra 1 P. 10 Convert a recursive formula to an explicit formula (ZBQ) score of 70; honors: 80
Khan exercise: Sequence word problems - geometric include percent
2.6 Graphing Sequences
Explanation:
Practice Problems:
2.7 Explicit equations in different formats
Explanation:
Khan video: Explicit formulas for arithmetic sequences
Khan article: Explicit formulas for arithmetic sequences
Khan video: Explicit & recursive formulas for geometric sequences
Khan video: Converting recursive & explicit forms of arithmetic sequences
Khan article: Converting recursive & explicit forms of arithmetic sequences
Khan video: Converting recursive & explicit forms of geometric sequences
Khan video: Sequences and domain (honors)
Practice Problems:
IXL: P.11 Convert an explicit formula to a recursive formula (42Y)
Khan exercise: Converting recursive & explicit forms of arithmetic sequences
Khan exercise: Converting recursive & explicit forms of geometric sequences (includes a_0*b^x)
Khan exercise: Explicit formulas for arithmetic sequences
Khan exercise: Explicit formulas for geometric sequences (includes the format a_0*b^x)
Khan exercise: Sequences and domain (honors)
2.8 Evaluate sequences
Explanation:
Khan video: Evaluate sequences in recursive form (the best example is at 6:59 since the other examples have already been taught)
Practice Problems:
IXL: P.4 Evaluate variable expressions for number sequences (PMN) - score of 49
IXL: P.5 Evaluate recursive formulas for sequences (9YD) - score of 80; honors score of 90
Khan exercise: Evaluate sequences in recursive form
Review
IXL: P.6 Identify a sequence as explicit or recursive (Y9B) - score of 70
Honors: IXL: P.12 Number sequences: mixed review (FEL): a hint with fractions on arithmetic sequences: make a common denominator: honors: 75; it has more than arithmetic and geometric
IXL P. Checkpoint: Sequences (5W7)