# Formula for the Area of a Triangle Objective To guide the development and use of a formula for the area of a triangle.

Save this PDF as:

Size: px
Start display at page:

Download "Formula for the Area of a Triangle Objective To guide the development and use of a formula for the area of a triangle."

## Transcription

1 Formula for the rea of a Triangle Objective To guide the development and use of a formula for the area of a triangle. epresentations etoolkit lgorithms Practice EM Facts Workshop Game Family Letters ssessment Management Common Core State Standards Curriculum Focal Points Interactive Teacher s Lesson Guide Teaching the Lesson Ongoing Learning & Practice Differentiation Options Key Concepts and Skills Find the areas of rectangles and parallelograms. [Measurement and Reference Frames Goal ] Develop a formula for calculating the area of a triangle. [Measurement and Reference Frames Goal ] Identify perpendicular line segments and right angles. [Geometry Goal 1] Describe properties of and types of triangles. [Geometry Goal ] Evaluate numeric expressions containing parentheses. [Patterns, Functions, and lgebra Goal 3] Key ctivities Students arrange triangles to form parallelograms. They develop and use a formula for finding the area of a triangle. Ongoing ssessment: Recognizing Student chievement Use journal page 4. [Measurement and Reference Frames Goal ] Key Vocabulary equilateral triangle isosceles triangle scalene triangle right triangle base height Materials Math Journal, pp Study Link 8 Math Masters, pp. 5 and 454 transparency of Math Masters, p. 403 (optional) slate centimeter ruler scissors tape index card or other square-corner object Solving Fraction Problems Math Journal, p. 43 Students identify fractional parts of number lines, collections of objects, and regions. Math Boxes Math Journal, p. 44 Students practice and maintain skills through Math Box problems. Study Link Math Masters, p. Students practice and maintain skills through Study Link activities. Comparing reas Math Masters, p. 7 scissors Students cut apart a regular hexagon and use the pieces to make area comparisons. Finding the rea and Perimeter of a Hexagon Math Masters, p. 8 centimeter ruler Students use a combination of different area formulas to find the area of a nonregular hexagon. EXTR PRCTICE Playing Rugs and Fences Math Masters, pp Student Reference Book, pp. 0 and 1 Students practice finding the perimeter and area of polygons. dvance Preparation For the optional Extra Practice activity in Part 3, consider copying the Rugs and Fences Cards on Math Masters, pages on cardstock. Teacher s Reference Manual, Grades 4 pp , 1, Lesson 93

2 Getting Started Mental Math and Reflexes Dictate large numbers for students to write on their slates. Suggestions: Mathematical Practices SMP, SMP4, SMP5, SMP, SMP7, SMP8 Content Standards 4.NBT., 4.NF.4c, 4.MD.3, 4.G.1, 4.G. Math Message Make a list of everything that you know about triangles. 37, ,0 95,003 1,34,895 0,00,597 35,798,41 3,00,300,004,000,000,500 90,08,351,007 For each number, ask questions such as the following: Which digit is in the millions place? What is the value of the digit x? How many hundred millions are there? Study Link 8 Follow-Up Have small groups compare answers and explain their strategies for finding the length of the base when the height and the area are given. 1 Teaching the Lesson NOTE Because isosceles triangles are defined as having at least two sides of equal length, all equilateral triangles are isosceles. So, some students may include the equilateral triangles in the isosceles pile. If this occurs, you may want to have the class decide on a definition of isosceles triangle that would exclude the equilateral triangles. Sample answer: n isosceles triangle has exactly two sides that are the same length. reas of Triangles 1. Cut out Triangles and B from Math Masters, page 5. DO NOT CUT OUT THE ONE BELOW. Tape the two triangles together to form a parallelogram. 1 Triangle B 13 Math Message Follow-Up s students share their responses, write them on the board. The list might include: triangle is a three-sided polygon. WHOLE-CLSS The sum of the measures of the angles in a triangle is 180. triangle has three vertices. triangle is a convex polygon. n equilateral triangle is a triangle in which all three sides have the same measure, and all three angles have the same measure. n equilateral triangle is a regular polygon. n isosceles triangle is a triangle that has at least two sides with the same length and at least two angles with the same measure. scalene triangle is a triangle in which there are no sides of equal length and no angles of equal measure. right triangle is a triangle with one 90 angle. base = base = height = 4 height = 4 rea of triangle = 1 rea of parallelogram = 4. Do the same with Triangles C and D on Math Masters, page 5. Triangle C Exploring Triangle Properties (Math Masters, p. 454) WHOLE-CLSS base = 4 base = 4 height = 4 height = 4 rea of triangle = 8 rea of parallelogram = 1 Math Journal, p. 40 C D Have students cut out the cards on Math Masters, page 454. sk students to sort the triangles into three categories: equilateral, isosceles, and scalene. equilateral: C, F; isosceles: E, G, H, N, P; scalene:, B, D, I, J, K, L, M, O. Discuss the angle properties of each type of triangle: equilateral triangles have three angles of equal measure, isosceles triangles have two angles of equal measure, and scalene triangles have no angles of equal measure. 94 Unit 8 Perimeter and rea

3 Draw a right triangle on the board: sk students to tell you the definition of a right triangle. right triangle is a triangle with one 90 angle. sk: Do you see any right triangles in any of the piles? Yes. Triangles, H, I, and P are right triangles. Can an equilateral triangle be a right triangle? Explain. No. ll the angles in an equilateral triangle have the same measure. Can an isosceles triangle be a right triangle? Explain. Yes. Triangles H and P are isosceles and right. Can a scalene triangle be a right triangle? Explain. Yes. Triangles and I are scalene and right. Draw the chart shown in the margin on the board. sk students to help you fill in the chart with and no to show which types of triangles can be right triangles. Tell students that in this lesson they will develop a formula for the area of a triangle using the formula for the area of a parallelogram. Links to the Future The use of a formula to calculate the area of a triangle is a Grade 5 Goal. Developing a Formula for the rea of a Triangle (Math Journal, pp. 40 and 41; Math Masters, p. 5) PROBLEM SOLVING WHOLE-CLSS Draw a triangle on the board. Choose one of the sides the side on which the triangle sits, for example and call it the base. Label the base in your drawing. Explain that base is also used to mean the length of the base. The shortest distance from the vertex above the base to the base is called the height of the triangle. Draw a dashed line to show the height and label it. Include a right-angle symbol. (See margin.) sk the class to turn to journal page 40 while you distribute copies of Math Masters, page 5. Point out that Triangles and B on the master are the same as Triangle on the journal page. Guide students through the following activity: 1. Cut out Triangles and B from the master. Make sure students realize that the triangles have the same area and are congruent.. Tape the triangles together at the shaded corners to form a parallelogram. 3. Tape the parallelogram in the space next to Triangle in the journal. Equilateral Isosceles Scalene reas of Triangles continued 3. Do the same with Triangles E and F. Triangle E base = 7 base = 7 height = height = rea of triangle = 7 rea of parallelogram = Do the same with Triangles G and H. Triangle G height base The height of a triangle is measured along a line segment perpendicular to the base. s with parallelograms, any side of a triangle can be the base. The choice of the base determines the height. base = 4 base = 4 height = 3 height = 3 rea of triangle = rea of parallelogram = 1 5. Write a formula for the area of a triangle. = (b h) (b h), or = _ Math Journal, p. 41 E Right G no H height length of base F Lesson 95

4 . Draw a line segment to show the height of Triangle SM. Use your ruler to measure the base and height of the triangle. Then find the area. 5 base = height = rea = reas of Triangles continued 7. Draw three different triangles on the grid below. Each triangle must have an area of 3 square centimeters. One triangle should have a right angle. Sample answers: 8. See the shapes below. Which has the larger area the star or the square? Explain your answer. Neither. Both have an area of 1 sq units. rea of square = 4 4 = 1; area of star = area of square in center + (4 area of a triangle) = 4 + (4 3) = 1. S M 13 Discuss the relationship between the area of the triangle and the area of the parallelogram. Triangles and B have the same area. Therefore, the area of either triangle is half the area of the parallelogram. 4. Record the dimensions and areas of the triangle and the parallelogram. Base of triangle and parallelogram = ; height of triangle and parallelogram = 4 ; area of parallelogram = 4 ; area of triangle = the area of parallelogram = 1. Have students repeat these steps with Triangles C and D, E and F, and G and H. Then bring the class together to state a rule and write a formula for the area of a triangle. Since the base and the height of a triangle are the same as the base and the height of the corresponding parallelogram, then: rea of the triangle = the rea of the parallelogram, or Math Journal, p. 4 rea of the triangle = of (base height) Using variables: = of (b h), or = (b h) where b is the length of the base and h is the height. Have students record the formula at the bottom of journal page 41. Solving rea Problems (Math Journal, p. 4; Math Masters, p. 403) PRTNER Fractions of Sets and Wholes 59 lgebraic Thinking Work with the class on Problem. Students can place an index card (or other square-corner object) on top of the triangle, align the bottom edge of the card with the base (making sure that one edge of the card passes through point S), and then draw a line for the height. Students will need a centimeter ruler to measure the base and the height. 1. Circle of the triangles. Mark Xs on. a. Shade _ 5 of the pentagon. _ 3 of the triangles. index card S b. Shade 3_ 5 of the pentagon. height M 3. There are 5 musicians in the school band: 4 of the musicians play the flute and 8 play the trombone. a. How many musicians play the flute? b. How many musicians play the trombone? Complete. a. 3_ 10 4 of is 90. b. 3 of 7 is Wei had 48 bean-bag animals in her collection. She sold 18 of them to another collector. What fraction of her collection did she sell? 3_ 8 _ djusting the ctivity ELL On the board, draw a triangle that has an obtuse angle as one of its base angles. Have students draw the height of the triangle. Demonstrate by extending the base along the side of the obtuse angle and drawing a perpendicular line from the opposite vertex to the extended base. For example: c. 5_ 100 of 10 is. d. 3_ of is 15. e. 3 of 7 is 4. f. 5_ 0 4 of 1 is.. Fill in the missing fractions on the number line Math Journal, p. 43 U D I T O R Y K I N E S T H E T I C T C T I L E V I S U L 9 Unit 8 Perimeter and rea

6 8 7 Teaching Master Name Comparing reas 1. Cut out the hexagon below. Then cut out the large equilateral triangle. You should end up with one large triangle and three smaller triangles. 3 Differentiation Options. Use the large triangle and the three smaller triangles to form a rhombus. a. Sketch the rhombus in the space to the right. b. Is the area of the rhombus the same as the area of the hexagon? c. Is it possible for two different shapes to have the same area? Comparing reas (Math Masters, p. 7) PRTNER 5 15 Min 3. Put all the pieces back together to form a hexagon with an equilateral triangle inside. How can you show that the area of the hexagon is twice the area of the large triangle? Sample answer: The three smaller triangles cover the equilateral triangle. Six of the smaller triangles cover the entire hexagon. There are 4 triangles in the hexagon. The large triangle is called an equilateral triangle. ll 3 sides are the same length. The smaller triangles are called isosceles triangles. Each of these triangles has sides that are the same length. To apply students understanding of area, have them compare the areas of a rhombus and a hexagon. Finding the rea and Perimeter of a Hexagon (Math Masters, p. 8) 5 15 Min Math Masters, p. 7 To apply students understanding of area formulas, have them find the area and perimeter of a nonregular hexagon. Counting squares to find the area is not permitted; students are encouraged to divide the hexagon into figures and then use a formula to calculate the area of each figure. One strategy is to partition the polygon as shown below. nother strategy can be found on the reduction of Math Masters, page 8. Teaching Master Name B 8 7 rea and Perimeter 1. Find the area of the hexagon below without counting squares. Hint: Divide the hexagon into figures for which you can calculate the areas: rectangles, parallelograms, and triangles. Use a formula to find the area of each of the figures. Record your work. Total area of hexagon C. Find the perimeter of the hexagon. Use a centimeter ruler. Perimeter 48 Sample answer: EXTR PRCTICE Playing Rugs and Fences (Math Masters, pp ; Student Reference Book, pp. 0 and 1) PRTNER Min To practice calculating the area and perimeter of a polygon, have students play Rugs and Fences. See Lesson 9- for additional information. 3 Math Masters, p Unit 8 Perimeter and rea

7 Name Exploring Triangle Properties B C D E F G H I J K L Copyright Wright Group/McGraw-Hill M N O P 454

### Family Letters. Assessment Management. Playing Fraction Of

Formula for the Area of a Parallelogram Objectives To review the properties of parallelograms; and to guide the development and use of a formula for the area of a parallelogram. www.everydaymathonline.com

### Review of Basic Fraction Concepts

Review of asic Fraction Concepts Objective To review fractions as parts of a whole (ONE), fractions on number lines, and uses of fractions. www.everydaymathonline.com epresentations etoolkit lgorithms

### Properties of Polygons Objective To explore the geometric properties of polygons.

Properties of Polygons Objective To explore the geometric properties of polygons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Place Value in Whole Numbers

Place Value in Whole Numbers Objectives To provide practice identifying values of digits in numbers up to one billion; and to provide practice reading and writing numbers up to one billion. www.everydaymathonline.com

### Constructing Geometric Solids

Constructing Geometric Solids www.everydaymathonline.com Objectives To provide practice identifying geometric solids given their properties; and to guide the construction of polyhedrons. epresentations

### Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.

Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### The Half-Circle Protractor

The Half-ircle Protractor Objectives To guide students as they classify angles as acute, right, obtuse, straight, and reflex; and to provide practice using a half-circle protractor to measure and draw

### Assessment Management

Area Objectives To provide experiences with the concept of area, distinguishing between area and perimeter, and finding areas of rectangular figures by partitioning and counting squares. www.everydaymathonline.com

### Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms.

Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### Line. A straight path that continues forever in both directions.

Geometry Vocabulary Line A straight path that continues forever in both directions. Endpoint A point that STOPS a line from continuing forever, it is a point at the end of a line segment or ray. Ray A

### Multiplication Arrays

Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations

### Objective To guide exploration of the connection between reflections and line symmetry. Assessment Management

Line Symmetry Objective To guide exploration of the connection between reflections and line symmetry. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Angles of Polygons Objective To develop an approach for finding the angle measurement sum for any polygon.

ngles of Polygons Objective To develop an approach for finding the angle measurement sum for any polygon. www.everydaymathonline.com epresentations etoolkit lgorithms Practice EM Facts Workshop Game Family

### Fractions and Decimals

Fractions and Decimals Objectives To provide experience with renaming fractions as decimals and decimals as fractions; and to develop an understanding of the relationship between fractions and division.

### Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.

Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### A Coin-Toss Experiment

A Coin-Toss Experiment Objective To guide children as they develop intuition equally likely events. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Grade 3 Core Standard III Assessment

Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in two-dimensional shapes and determine if angles are greater than or less than a right angle (obtuse

### Grade 8 Mathematics Geometry: Lesson 2

Grade 8 Mathematics Geometry: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside

### Volume of Pyramids and Cones

Volume of Pyramids and Cones Objective To provide experiences with investigating the relationships between the volumes of geometric solids. www.everydaymathonline.com epresentations etoolkit Algorithms

### Assessment Management

Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Surface Area. Assessment Management

Surface Area Objective To introduce finding the surface area of prisms, cylinders, and pyramids. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Number Models for Area

Number Models for Area Objectives To guide children as they develop the concept of area by measuring with identical squares; and to demonstrate how to calculate the area of rectangles using number models.

### *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles.

Students: 1. Students understand and compute volumes and areas of simple objects. *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles. Review

### Multiplication and Division Fact Families

Multiplication and Division Fact Families Objectives To review fact families and the Multiplication/Division Facts Table; and to guide children as they practice multiplication and division facts. www.everydaymathonline.com

### Pattern-Block Fractions

Pattern-lock Fractions Objective To guide students as they find fractional parts of polygonal regions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### 8-2 Classifying Angles Objective: Identify different types of angles Explain how to determine the type of angle.

8-1 Classifying Lines Objective: Identify type of lines and line relationships Language Objective: Classify and then justify your classification Vocabulary: line- continues in both directions for ever

### Packaging Engineering

Project Packaging Engineering Objectives To use nets to represent and calculate the surface area of 3-dimensional shapes; and to apply concepts of area, surface area, and volume to design a package for

### Grade 5 supplement. Set C1 Geometry: Triangles & Quadrilaterals. Includes. Skills & Concepts

Grade 5 supplement Set C1 Geometry: Triangles & Quadrilaterals Includes Activity 1: Classifying Triangles C1.1 Activity 2: Sorting & Classifying Quadrilaterals C1.13 Activity 3: Finding the Perimeter &

### Activity Set 3. Trainer Guide

Geometry and Measurement of Plane Figures Activity Set 3 Trainer Guide GEOMETRY AND MEASUREMENT OF PLANE FIGURES Activity Set 3 Copyright by the McGraw-Hill Companies McGraw-Hill Professional Development

### Calculator Practice: Computation with Fractions

Calculator Practice: Computation with Fractions Objectives To provide practice adding fractions with unlike denominators and using a calculator to solve fraction problems. www.everydaymathonline.com epresentations

### Exploring Arrays, Coins, and Division

Explorations Exploring Arrays, Coins, and Division Objectives To develop readiness for multiplication; to guide children in finding coin combinations equivalent to \$1.00; and to explore one meaning of

### Subtraction of Multidigit Numbers

Subtraction of Multidigit Numbers Objectives To review the trade-first and counting-up methods, and to introduce the partial-differences method of solving multidigit subtraction problems; and to provide

### Constructing Symmetrical Shapes

07-NEM5-WBAns-CH07 7/20/04 4:36 PM Page 62 1 Constructing Symmetrical Shapes 1 Construct 2-D shapes with one line of symmetry A line of symmetry may be horizontal or vertical 2 a) Use symmetry to complete

### Factor Trees. Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers.

Factor Trees Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### Addition Strategies That Use Doubles Facts

Addition Strategies That Use Doubles Facts Objective To provide opportunities for children to explore and practice doubles-plus- and doubles-plus- facts. www.everydaymathonline.com epresentations etoolkit

### The Distributive Property

The Distributive Property Objectives To recognize the general patterns used to write the distributive property; and to mentally compute products using distributive strategies. www.everydaymathonline.com

### Multiplication Facts Survey

Multiplication Facts Survey Objective To guide children as they determine which multiplication facts they still need to learn. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### parallel lines perpendicular lines intersecting lines vertices lines that stay same distance from each other forever and never intersect

parallel lines lines that stay same distance from each other forever and never intersect perpendicular lines lines that cross at a point and form 90 angles intersecting lines vertices lines that cross

### Objective To introduce the concept of square roots and the use of the square-root key on a calculator. Assessment Management

Unsquaring Numbers Objective To introduce the concept of square roots and the use of the square-root key on a calculator. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### Comparing Fractions Objective To provide practice ordering sets of fractions.

Comparing Fractions Objective To provide practice ordering sets of fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Objective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management

Equivalent Fractions Objective To guide the development and use of a rule for generating equivalent fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Target To know the properties of a rectangle

Target To know the properties of a rectangle (1) A rectangle is a 3-D shape. (2) A rectangle is the same as an oblong. (3) A rectangle is a quadrilateral. (4) Rectangles have four equal sides. (5) Rectangles

### Sunrise-Sunset Line Graphs

Sunrise-Sunset Line Graphs Objectives To guide children as they analyze data from the sunrise-sunset routine; and to demonstrate how to make and read a line graph. www.everydaymathonline.com epresentations

### Change Number Stories Objective To guide children as they use change diagrams to help solve change number stories.

Number Stories Objective To guide children as they use change diagrams to help solve change number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Identify relationships between and among linear and square metric units. area = length x width = 60 cm x 25 cm = 1500 cm 2

1 Unit Relationships Identify relationships between and among linear and square metric units. 1. Express each area in square centimetres. a) 8 m 2 80 000 cm 2 c) 3.5 m 2 35 000 cm 2 b) 12 m 2 120 000 cm

### The Partial-Quotients Division Algorithm, Part 1

The Partial-Quotients Division Algorithm, Part 1 Objectives To introduce and provide practice with a low-stress division algorithm for 1-digit divisors. www.everydaymathonline.com epresentations etoolkit

### Multiplication Facts Practice

Multiplication Facts Practice Objectives To introduce the 5-facts test; and to provide practice with multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### Exploring Length, Area, and Attributes

Explorations Exploring Length, Area, and Attributes Objectives To guide children as they measure lengths and distances to the nearest inch and centimeter, explore area by tiling surfaces, and sort attribute

### The Inch. Objectives To introduce the inch as a standard unit of length; and to provide practice measuring to the nearest inch.

The Inch Objectives To introduce the inch as a standard unit of length; and to provide practice measuring to the nearest inch. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

ddition with hree or More ddends Objective o guide children as they solve number stories having three or more addends. www.everydaymathonline.com epresentations eoolkit lgorithms Practice EM Facts Workshop

### Estimating Angle Measures

1 Estimating Angle Measures Compare and estimate angle measures. You will need a protractor. 1. Estimate the size of each angle. a) c) You can estimate the size of an angle by comparing it to an angle

### Algebra Geometry Glossary. 90 angle

lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:

### Doubles Facts Objective To review and provide practice for doubles facts.

Doubles Facts Objective To review and provide practice for doubles facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Review: Addition and Subtraction of Positive and Negative Numbers

Review: Addition and Subtraction of Positive and Negative Numbers Objective To practice adding and subtracting positive and negative numbers. www.everydaymathonline.com epresentations etoolkit Algorithms

### Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Activity Set 4. Trainer Guide

Geometry and Measurement of Plane Figures Activity Set 4 Trainer Guide Int_PGe_04_TG GEOMETRY AND MEASUREMENT OF PLANE FIGURES Activity Set #4 NGSSS 3.G.3.1 NGSSS 3.G.3.3 NGSSS 4.G.5.1 NGSSS 5.G.3.1 Amazing

### Unit 6 Grade 7 Geometry

Unit 6 Grade 7 Geometry Lesson Outline BIG PICTURE Students will: investigate geometric properties of triangles, quadrilaterals, and prisms; develop an understanding of similarity and congruence. Day Lesson

The Addition/Subtraction Facts Table Objectives To provide experience exploring patterns in sums of two dice; and to introduce the Addition/Subtraction Facts Table. www.everydaymathonline.com epresentations

### Inequalities. Assessment Management. Dividing Decimals by Decimals: Part 1

Inequalities Objectives To find and represent all the values that make an inequality in one variable true; and to represent real-world situations with inequalities. www.everydaymathonline.com epresentations

### Geometry of 2D Shapes

Name: Geometry of 2D Shapes Answer these questions in your class workbook: 1. Give the definitions of each of the following shapes and draw an example of each one: a) equilateral triangle b) isosceles

### Family Letters. Assessment Management. Playing Target: 50

The Partial-Sums Algorithm Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for - and -digit numbers. www.everydaymathonline.com

### Geometry and Measurement

Geometry and Measurement (Developmentally Appropriate Lessons for K-5 Students) Amanda Anderson Title I Teacher Lincoln Elementary aanderson@bemidji.k12.mn.us Executive Summary This 10-day unit plan is

### Analysis in Geometry. By Danielle Long. Grade Level: 8 th. Time: 5-50 minute periods. Technology used: Geometer s sketchpad Geoboards NLVM website

Analysis in Geometry By Danielle Long Grade Level: 8 th Time: 5-50 minute periods Technology used: Geometer s sketchpad Geoboards NLVM website 1 NCTM Standards Addressed Problem Solving Geometry Algebra

### Lesson 7: Drawing Parallelograms

Student Outcomes Students use a protractor, ruler, and setsquare to draw parallelograms based on given conditions. Lesson Notes In Lesson 6, students drew a series of figures (e.g., complementary angles,

### Subtraction Strategies

Subtraction Strategies Objective To review solution strategies for subtraction of multidigit numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Hands-On Mini Lab. Step 2 Pick one vertex and draw a segment to the opposite vertex. The angles of a quadrilateral have a special relationship.

10-7 Quadrilaterals MAIN IDEA I will classify quadrilaterals and find missing angle measures in quadrilaterals. New Vocabulary quadrilateral rectangle square ogram trapezoid Hands-On Mini Lab The figure

Geometry Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes

### The Lattice Method of Multiplication

The Lattice Method of Multiplication Objective To review and provide practice with the lattice method for multiplication of whole numbers and decimals. www.everydaymathonline.com epresentations etoolkit

### Grade 7 Area of triangle

Grade 7 Area of triangle 7.SS.2 Develop and apply a formula for determining the area of triangles parallelograms circles 1. Illustrate and explain how the area of a rectangle can be used to determine the

### Review: Comparing Fractions Objectives To review the use of equivalent fractions

Review: Comparing Fractions Objectives To review the use of equivalent fractions in comparisons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Unit 6 Geometry: Constructing Triangles and Scale Drawings

Unit 6 Geometry: Constructing Triangles and Scale Drawings Introduction In this unit, students will construct triangles from three measures of sides and/or angles, and will decide whether given conditions

### Unit 8 Angles, 2D and 3D shapes, perimeter and area

Unit 8 Angles, 2D and 3D shapes, perimeter and area Five daily lessons Year 6 Spring term Recognise and estimate angles. Use a protractor to measure and draw acute and obtuse angles to Page 111 the nearest

Subtraction from Addition Objectives To review the and 1 shortcuts; and to guide children to identify the subtraction facts related to given addition facts. www.everydaymathonline.com epresentations etoolkit

### Measuring with Yards and Meters

Measuring with Yards and Meters Objectives To provide review for the concept of nonstandard units of measure; and to introduce yard and meter. www.everydaymathonline.com epresentations etoolkit Algorithms

### Middle Value (Median) of a Set of Data

Middle Value (Median) of a Set of Data Objectives To guide children as they sort numerical data and arrange data in ascending or descending order, and as they find the middle value (median) for a set of

### Measuring with a Ruler

Measuring with a Ruler Objective To guide children as they measure line segments to the nearest inch, _ inch, _ inch, centimeter, _ centimeter, and millimeter. www.everydaymathonline.com epresentations

### Vocabulary List Geometry Altitude- the perpendicular distance from the vertex to the opposite side of the figure (base)

GEOMETRY Vocabulary List Geometry Altitude- the perpendicular distance from the vertex to the opposite side of the figure (base) Face- one of the polygons of a solid figure Diagonal- a line segment that

### Multiplication Fact Power and Shortcuts

Multiplication Fact Power and Shortcuts Objectives To discuss multiplication facts and the importance of fact power; and to review fact shortcuts. www.everydaymathonline.com epresentations etoolkit Algorithms

### Objectives To review the order of operations; and to evaluate expressions containing parentheses. Assessment Management

Order of Operations Objectives To review the order of operations; and to evaluate expressions containing parentheses. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

Grade 4 Curriculum Overview Operations and Algebraic Thinking Solve equations using the four operations with a letter representing the unknown quantity. Find factors for given numbers (e.g. Circle all

### A factor is a whole number that. Name 6 different quadrilaterals. The radius of a circle. What is an axis or a line of symmetry in a 2-D shape?

BOND HOW TO DO 11+ MATHS MATHS FACTS CARDS 1 2 3 4 A factor is a whole number that Name 6 different quadrilaterals. The radius of a circle is What is an axis or a line of symmetry in a 2-D shape? 5 6 7

### Geometry Vocabulary Booklet

Geometry Vocabulary Booklet Geometry Vocabulary Word Everyday Expression Example Acute An angle less than 90 degrees. Adjacent Lying next to each other. Array Numbers, letter or shapes arranged in a rectangular

### Math 6: Unit 7: Geometry Notes 2-Dimensional Figures

Math 6: Unit 7: Geometry Notes -Dimensional Figures Prep for 6.G.A.1 Classifying Polygons A polygon is defined as a closed geometric figure formed by connecting line segments endpoint to endpoint. Polygons

### Check students drawings. GNL or LNG

8-1 Draw each geometric figure. Check students drawings. 1. a point 2. a ray 3. an angle 4. the angle shown. GNL or LNG G Look at the angles below. N L P M A V 5. Which angles are right angles? 6. Which

### Perimeter and area formulas for common geometric figures:

Lesson 10.1 10.: Perimeter and Area of Common Geometric Figures Focused Learning Target: I will be able to Solve problems involving perimeter and area of common geometric figures. Compute areas of rectangles,

### Model area formulas for parallelograms, trapezoids, and triangles.

Answers Teacher Copy Lesson 23-3 Area of Triangles, Trapezoids, and Polygons Learning Targets p. 297 Model area formulas for parallelograms, trapezoids, and triangles. Write equations that represent problems

### Subtracting Mixed Numbers

Subtracting Mixed Numbers Objective To develop subtraction concepts related to mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Upper Elementary Geometry

Upper Elementary Geometry Geometry Task Cards Answer Key The unlicensed photocopying, reproduction, display, or projection of the material, contained or accompanying this publication, is expressly prohibited

### Baseball Multiplication Objective To practice multiplication facts.

Baseball Multiplication Objective To practice multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common

### Perform and describe the rotation of a shape around a centre that is on the shape.

1 Describing Rotations Perform and describe the rotation of a shape around a centre that is on the shape. You will need a ruler and a protractor. 1. Describe the rotation of this shape. The black dot on

### Date: Period: Symmetry

Name: Date: Period: Symmetry 1) Line Symmetry: A line of symmetry not only cuts a figure in, it creates a mirror image. In order to determine if a figure has line symmetry, a figure can be divided into

### Objectives To find the absolute value of rational numbers; and to solve problems using absolute value. Family Letters. Assessment Management

Absolute Value Objectives To find the absolute value of rational numbers; and to solve problems using absolute value. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Sum of the interior angles of a n-sided Polygon = (n-2) 180

5.1 Interior angles of a polygon Sides 3 4 5 6 n Number of Triangles 1 Sum of interiorangles 180 Sum of the interior angles of a n-sided Polygon = (n-2) 180 What you need to know: How to use the formula

### Solving Simple Equations Objective To use trial and error and a cover-up method to

Solving Simple Equations Objective To use trial and error and a cover-up method to solve equations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Hidden Treasure: A Coordinate Game. Assessment Management. Matching Number Stories to Graphs

Hidden Treasure: A Coordinate Game Objective To reinforce students understanding of coordinate grid structures and vocabulary. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### 2 feet Opposite sides of a rectangle are equal. All sides of a square are equal. 2 X 3 = 6 meters = 18 meters

GEOMETRY Vocabulary 1. Adjacent: Next to each other. Side by side. 2. Angle: A figure formed by two straight line sides that have a common end point. A. Acute angle: Angle that is less than 90 degree.