# 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)