Mar21-25

Standard 2.1.K1a-b The student identifies, states, and continues a pattern presented in various formats including numeric (list or table), algebraic (symbolic notation), visual (picture, table, or graph), verbal (oral description), kinesthetic (action), and written using these attributes: a. ▲ counting numbers including perfect squares, cubes, and factors and multiples (number theory) (2.4.K1a); b. ▲ positive rational numbers including arithmetic and geometric sequences (arithmetic: sequence of numbers in which the difference of two consecutive numbers is the same, geometric: a sequence of numbers in which each succeeding term is obtained by multiplying the preceding term by the same number) (2.4.K1a), e.g., 2, ½, 1/8, 1/32, …; Standard 2.1.K4 The student ▲ ■ states the rule to find the nth term of a pattern with one operational change (addition or subtraction) between consecutive terms (2.4.K1a), e.g., given 3, 5, 7, and 9; the nth term is 2n +1. (This is the explicit rule for the pattern.) Opening Activity: Complete the following: 1. Write an algebraic expression for: 2. Evaluate each expression if x = 4 and y = 2: 3. Write an expression for:
 * Monday - Patterns and Nth Term **
 * the sum of a number and four
 * five less than a number
 * the product of a number and negative three
 * 8 - x
 * 3 - y
 * 16/x
 * -4y
 * = Ben has six more fish than Sally =
 * = Sharon has four fewer than twice as many quarters are her brother =

**What You'll Learn:** To extend patterns and find the nth term.

**What you'll do:**
 * Discuss patterns with a focus on square numbers.
 * Discuss nth term charts
 * Complete 10 Problems at [|IXL Math].
 * Complete 10 problems on study island
 * Assignment: Pattern and Nth Term Practice (Take home packet)
 * Marzano Strategy:

** Tuesday-Thursday - Kansas Reading Assessment - ** ** - Students with Mr. Foust for Math **

** Friday - Scale Drawing and Proportion ** Standard 3.3.A3 - The student ▲ ■ determines the actual dimensions and/or measurements of a two-dimensional figure represented in a scale drawing. Standard 2.2.K7 - The student ▲ knows the mathematical relationship between ratios, proportions, and percents and how to solve for a missing term in a proportion with positive rational number solutions and monomials. Opening Activity: Complete the following: 1. Find the nth term in the pattern:
 * 7, 10, 13, 16, 19
 * 6, 12, 18, 24
 * -3, 1, 5, 9
 * 15, 10, 5, 0, -5
 * 100, 92, 84, 76

**What You'll Learn:** To write and solve proportions

**What you'll do:**
 * Practice solving proportions at [|IXL Math]
 * Practice solving word problems using proportions at [|IXL Math].
 * Assignment: Practice proportions at study island - Ratio, Proportion, Percent
 * Marzano Strategy: