Apr4-8

a. ▲ list several ordered pairs on the graph of a line and find the slope of the line; b. ▲ recognize that ordered pairs that lie on the graph of an equation are solutions to that equation; c. ▲ recognize that points that do not lie on the graph of an equation are not solutions to that equation; d. ▲ determine the length of a side of a figure drawn on a coordinate plane with vertices having the same x- or y-coordinates. Opening Activity: Complete Review Problems
 * Monday - Coordinate Plane **
 * Standard 3.4.K1a-d** The student uses the coordinate plane to (2.4.K1a):

**What You'll Learn:** To find the slope of a line and to determine whether a point likes on a graph.

**What you'll do:** ** Tuesday - Properties Review ** a. ▲ commutative, associative, distributive, and substitution properties; e.g., we need to place trim around the outside edges of a bulletin board with dimensions of 3 ft by 5 ft. Explain two different methods of solving this problem and why the answers are equivalent. b. ▲ identity and inverse properties of addition and multiplication; e.g., I had $50. I went to the mall and spent $20 in one store, $25 at a second store and then $5 at the food court. To solve: [$50 – ($20 + $25 + $5) = $50 - $50 = 0]. Explain your reasoning. Opening Activity: Complete Review Problems
 * **IXL Math - 8.3.4.K1 uses the coordinate plane to:**
 * **8.3.4.K1.a list several ordered pairs on the graph of a line and finds the slope of the line;**
 * [|Linear functions: Find points on a function graph (Eighth grade - V.5)]
 * [|Linear functions: Find the slope of a graph (Eighth grade - V.9)]
 * [|Linear functions: Find slope from two points (Eighth grade - V.10)]
 * **8.3.4.K1.b recognize that ordered pairs that lie on the graph of an equation are solutions to that equation;**
 * [|Linear functions: Does (x, y) satisfy the linear equation? (Eighth grade - V.1)]
 * [|Linear functions: Evaluate a linear function (Eighth grade - V.2)]
 * [|Linear functions: Complete a function table (Eighth grade - V.3)]
 * **8.3.4.K1.c recognize that points that do not lie on the graph of an equation are not solutions to that equation;**
 * [|Linear functions: Does (x, y) satisfy the linear equation? (Eighth grade - V.1)]
 * **8.3.4.K1.d determine the length of a side of a figure drawn on a coordinate plane with vertices having the same x- or y-coordinates;**
 * Assignment: Coordinate Plane/Slope Review
 * Marzano Strategy: Similarities and Differences
 * Standard 1.2.A1a-b** - The student 1. generates and/or solves real-world problems with rational numbers using the concepts of these properties to explain reasoning:

**What You'll Learn:** To apply the commutative, associative, distributive, substitution, identity and inverse properties.

**What you'll do:** ** Wednesday - One and Two- Step Equations ** a. ■ rational numbers, e.g., find the height of a triangular garden given that the area to be covered is 400 square feet with a base of 12½ feet; b. the irrational number pi as an approximation, e.g., before planting, a farmer plows a circular region that has an approximate area of 7,300 square feet. What is the radius of the circular region to the nearest tenth of a foot? c. applications of percents, e.g., sales tax or discounts. (For the purpose of assessment, percents greater than or equal to 100% will NOT be used). Opening Activity: Complete Review Problems
 * **8.1.2.K3.a commutative, associative, distributive, and substitution properties [commutative: a + b = b + a and ab = ba; associative: a + (b + c) = (a + b) + c and a(bc) = (ab)c; distributive: a(b + c) = ab + ac; substitution: if a = 2, then 3a = 3 x 2 = 6];**
 * [|Variable expressions: Evaluate single-variable expressions (Eighth grade - T.4)]
 * [|Variable expressions: Evaluate multi-variable expressions (Eighth grade - T.5)]
 * [|Properties: Properties of addition and multiplication (Eighth grade - Z.1)]
 * [|Properties: Distributive property (Eighth grade - Z.2)]
 * **8.1.2.K3.b identity properties for addition and multiplication and inverse properties of addition and multiplication (additive identity: a + 0 = a, multiplicative identity: a * 1 = a, additive inverse: +5 + -5 = 0, multiplicative inverse: 8 x 1/8 = 1);**
 * [|Integers: Absolute value and opposite integers (Eighth grade - B.2)]
 * [|Operations with rational numbers: Reciprocals and multiplicative inverses (Eighth grade - E.1)]
 * [|Properties: Properties of addition and multiplication (Eighth grade - Z.1)]
 * Assignment: Properties Review on Study Island
 * Marzano Strategy: Summarize and take notes
 * Standard 1.4.A1a-c** The student ▲ generates and/or solves one- and two-step real-world problems using computational procedures and mathematical concepts:

**What You'll Learn:** To solve one and two step real-world problems.

**What you'll do:** ** Thursday - Product and Quotient Comparison and Writing Real-World Problems ** a. a positive number is multiplied or divided by a rational number greater than zero and less than one, e.g., if 24 is divided by 1/3, will the answer be larger than 24 or smaller than 24? Explain. b. a positive number is multiplied or divided by a rational number greater than one, C c. a nonzero real number is multiplied or divided by zero, (For purposes of assessment, an explanation of division by zero will not be expected.) Opening Activity: Complete Review Problems
 * **8.1.4.K2.a addition, subtraction, multiplication, and division of integers;**
 * [|Operations with integers: Integer addition and subtraction rules (Eighth grade - C.1)]
 * [|Operations with integers: Add and subtract integers (Eighth grade - C.3)]
 * [|Operations with integers: Add and subtract three or more integers (Eighth grade - C.4)]
 * [|Operations with integers: Add and subtract integers: word problems (Eighth grade - C.5)]
 * [|Operations with integers: Integer multiplication and division rules (Eighth grade - C.6)]
 * [|Operations with integers: Multiply and divide integers (Eighth grade - C.7)]
 * **8.1.4.K2.b order of operations (evaluates within grouping symbols, evaluates powers to the second or third power, multiplies or divides in order from left to right, then adds or subtracts in order from left to right);**
 * [|Operations with integers: Simplify expressions involving integers and absolute values (Eighth grade - C.8)]
 * [|Operations with rational numbers: Simplify expressions involving rational numbers (Eighth grade - E.6)]
 * [|Exponents and roots: Simplify expressions involving exponents (Eighth grade - F.12)]
 * Assignment: Real-World Problem Review
 * Marzano Strategy: Similarities and Differences
 * Standard 1.1.K5a-c** - The student ▲ knows and explains what happens to the product or quotient when:
 * Standard 2.2.A1a** - Represents real-world problems using: a. variables, symbols, expressions, one- or two-step equations with rational number coefficients and constants.

**What you'll do:** ** Friday - Measures of Central Tendency ** Opening Activity: Complete Review Problems
 * **8.1.1.K5.a a positive number is multiplied or divided by a rational number greater than zero and less than one, e.g., if 24 is divided by 1/3, will the answer be larger than 24 or smaller than 24? Explain.**
 * [|Operations with rational numbers: Multiply and divide rational numbers (Eighth grade - E.4)]
 * [|Operations with rational numbers: Multiply and divide rational numbers: word problems (Eighth grade - E.5)]
 * **8.1.1.K5.b a positive number is multiplied or divided by a rational number greater than one,**
 * [|Operations with rational numbers: Multiply and divide rational numbers (Eighth grade - E.4)]
 * [|Operations with rational numbers: Multiply and divide rational numbers: word problems (Eighth grade - E.5)]
 * **8.1.1.K5.c a nonzero real number is multiplied or divided by zero. (For purposes of assessment, an explanation of division by zero will not be expected.)**
 * [|Properties: Properties of addition and multiplication (Eighth grade - Z.1)]
 * Review 2.2.A1
 * Assignment: Product and Quotient Comparison and Writing Real-World Problems
 * Marzano Strategy: Similarities and Differences
 * Standard 4.2.K3** The student ▲ determines and explains the measures of central tendency (mode, median, mean) for a rational number data set.

**What You'll Learn:** To find and explain mean, median, and mode.

**What you'll do:**
 * **8.4.2.K3 determines and explains the measures of central tendency (mode, median, mean) for a rational number data set.**
 * [|Statistics: Calculate mean, median, mode, and range (Eighth grade - BB.1)]
 * [|Statistics: Interpret charts to find mean, median, mode, and range (Eighth grade - BB.2)]
 * Assignment: Mean, Median, Mode Review
 * Marzano Strategy: Similarities and Differences