Unit 8: MATH determine write apply The Unit Organizer NAME Betchan, Strauss, Gonzales 4 BIGGER PICTURE DATE Expressions, Equations, & Relationships 2 LAST UNIT /Experience 1 CURRENT UNIT CURRENT UNIT 3 NEXT UNIT /Experience Equations and Inequalities Representing Geometry with Algebra Statistical Measures and Displays 8 UNIT SCHEDULE 5 UNIT MAP is about... 2/21 Launch Unit using relationships to solve problems by 2/21 Lincing (vocab)- Area determing Area discovery- area formulas for triangles, parallelograms and trapezoids using models and formulas 6.8B. applying 2/22 triangle laws using sides and angles. 6.8A, 6.10A 2/23 Area of triangels, parallelograms, trapezoids notes--Frame 2/24 writing 2/27 Volume- Rectangular Prism-- measure the room with your shoes equations to represent problems related to area and volume including the solution 6.8D, 6.8C 2/28 Triangle Laws Discovery 3/1 Area of a triangle practice 3/2 Area of a trapezoid formula discovery lesson & practice 3/3 Area of a Trapezoid Practice 3/6 Unit 8 Quiz 3/7 FRAME Vocabulary: Area, rectangles, parallelograms, trapezoids, triangles, volume, right rectangular prisms, length, width, height, base, solution, square units, cubic units ⅜-10 Unit 8 PBL Project How do you determine the area formula for a triangle/parallelogram/trapezoid? In your own words, summarize how to find the missing measurement in area or volume. How would you interpret the 3 triangle laws? determine 6 UNIT SELF-TEST QUESTIONS write apply RELATIONSHIPS UNIT 7 1

Representing Geometry triangle laws using sides and angles. Expanded Map Representing Geometry is about... using relationships to solve problems by area formulas for triangles, parallelograms and trapezoids using models and formulas 6.8B. determing applying triangle laws using sides and angles. 6.8A, 6.10A writing equations to represent problems related to area and volume including the solution 6.8D, 6.8C What are 2

Modeling area formulas for triangles, parallelograms and trapezoids Representing Geometry with Algebra is about using relationships to solve problems by... Modeling area formulas for triangles, parallelograms and trapezoids Writing equations to represent problems related to area and volume. Applying triangle laws using sides and angles Seth is using a large shoe box to store his baseball cards. The length and the width of the box are each 12 inches, and the height is 6 inches. Which of the following could be used to find V, the volume of Seth’s shoe box? V = (6)(12) V = (6 x 12)2 C. V = (12)(12)(6) D. V = 4(12) + 2(6) The formula for the area of a triangle is A = ½ bh. Sketch a rectangle that will prove this is correct. Will side lengths of 3cm, 4cm, and 5 cm form a triangle? Explain. Which set of side lengths will not form a triangle? 10 in., 13 in., 18 in. 6 in., 10 in., 10 in. 4.5 in., 6.5 in., 11 in. 8.5 in., 12.5 in., 16.5 in. The area of a certain square is 25 square feet. What would be the area of a square with sides 3 times longer? The size of the parallelogram piece in a set of tangrams is shown below. Determine the area of the piece. What is the volume of this box? Based on the information in triangle ABC, which statement is true? Angle A is larger than angle B Angle C is larger than angle A Angle B is larger than angle C Angle C is larger than angle B. A trapezoid has an area of 402.8 square meters. The bases are 14.6 meters and 35.4 meters. Write an equation to determine the height of the trapezoid. The sum of the measures of two angles is 183.6o. One angle has a measure of 54o. What is m, the measure in degrees of the second angle? m= 129.6o m= 3.4o m= 9,914.4o m= 237.6o The band room at June’s school is rectangular and has an area of 1200 feet. The width of the room is 30 feet. How long is the room?

6.8B Model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes. Supporting Standard never been tested 6.8C Write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers. Supporting Standard 2 questions: 78% both years 6.10A Model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts. Readiness Standard 1 question 6.8D Determine solutions for problems involving the area of rectangles, parallelograms,trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers. Readiness Standard 5 questions: 71, 59 , 55, 62 6.8 A Extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle. Supporting Standard Pre-Ap suggestion 7.11C

A C 19.5 C F

D H C F

H 16.2 J

using relationships to solve problems by

area formulas for triangles, parallelogramand trapezoids

equations to represent problems related to area and volume.

triangle laws using sides and angles.

model write apply

How do you model the area formula for a triangle/ parallelogram/ trapezoid?

(2) How do you identify the base and height/ length and width?

(3) What do the pieces of the formula represent?

(4) How do you use the formulas to write and solve area and volume problems?

(5) What are the three triangle laws involving sides and angles?

(6) How do you apply the triangle laws to solve problems?

modeling writing applying