Sequences
2.1 Recognizing Patterns and Sequences
Explanation
Practice Problems:
Exploding Dots (scroll down and click on island 1 and complete the stations on the right)
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)
IXL: Algebra 1 P.2 Arithmetic sequences (ALG)
IXL: Algebra 1 P.3 Geometric sequences (HLJ)
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
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: Algebra 1 P.8 Write variable expressions (explicit) for geometric sequences (XPC)
Khan exercise: Use geometric sequence formulas
Khan exercise: Recursive formulas for geometric sequences
2.5 Mixed Review: Writing Equations of Sequences
Explanation
Khan video: Sequence word problems
Practice Problems:
IXL: Algebra 1 P.6 Identify a sequence as explicit or recursive (Y9B)
IXL: Algebra 1 P.9 Write a formula for a recursive sequence (KP9)
Khan exercise: Sequence word problems - geometric include percent (extra credit for honors)
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: Converting recursive & explicit forms of arithmetic sequences
Khan article: Converting recursive & explicit forms of arithmetic sequences
Khan video: Sequences and domain (honors)
Practice Problems:
IXL: Algebra P.10 Convert a recursive formula to an explicit formula (ZBQ)
IXL: Algebra P.11 Convert an explicit formula to a recursive formula (42Y)
Khan exercise: Converting recursive & explicit forms of arithmetic sequences
Khan exercise: Explicit formulas for arithmetic sequences
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: Algebra 1 P.4 Evaluate variable expressions for number sequences (PMN)
IXL: Algebra 1 P.5 Evaluate recursive formulas for sequences (9YD)
Khan exercise: Evaluate sequences in recursive form
Review
IXL: Algebra 1 P.12 Number sequences: mixed review (FEL): with fractions on arithmetic sequences: make a common denominator; it has more than arithmetic and geometric
IXL Algebra 1 P. Checkpoint: Sequences (5W7)