# 19. [Shapes] less than. The angle appears greater than 90. Check by placing the corner of a Maths Mate page inside the angle.

Save this PDF as:

Size: px
Start display at page:

Download "19. [Shapes] less than. The angle appears greater than 90. Check by placing the corner of a Maths Mate page inside the angle."

## Transcription

1 19. [Shapes] Skill 19.1 Comparing angles to a right angle. Place the corner of a page (which is a right angle) at the corner (vertex) of the angle. Align the base of the page with one line of the angle. Compare the angle to the right angle that is the page. RIGHT ANGLE If the other line of the angle extends beyond the page, then the angle is greater than a right angle. If the corner of the page matches perfectly, then the angle is equal to a right angle. If the other line of the angle is in the page, then the angle is less than a right angle. Q. Is the angle shown less than, equal to or greater than a right angle? A. greater than The angle appears greater than. Check by placing the corner of a Maths Mate page in the angle. a) Is the angle less than, equal to or greater than a right angle? b) Is the angle less than, equal to or greater than a right angle? less than c) Is the angle less than, equal to or greater than a right angle? d) Is the angle less than, equal to or greater than a right angle? e) Is the angle less than, equal to or greater than a right angle? f) Is the angle less than, equal to or greater than a right angle? page 159

2 Skill 19.2 Recognising 2D shapes. Q. One of these shapes is hidden in the A. Trace and cut out the shapes to lay over the maze. Slide them to check possible positions. [Remember: Do not change their orientation by turning them. The shapes must have every edge outlined.] a) One of these shapes is hidden in the b) One of these shapes is hidden in the c) One of these shapes is hidden in the d) One of these shapes is hidden in the e) One of these shapes is hidden in the f) One of these shapes is hidden in the page 1

3 Skill 19.3 Drawing 2D shapes. LATIN and GREEK TERMS poly - many equi - equal gon - angle lateral - mono - one bi or di - two tri - three quad or tetra - four penta - five hexa - six hepta - seven octa - eight nona - nine deca - ten Draw two dimensional shapes (2D) in two directions, length and width. Hint: 2D shapes have no height. Use the name of the shape (based on Latin and Greek words) to work out the number of s. Q. Draw a pentagon. A. or Conr the name: gon = angle penta = 5 You need to draw a shape that has 5 interior angles and therefore 5 s. a) Draw a quadrilateral. b) Draw a triangle. c) Draw a rectangle. quad = 4 lateral = s d) Draw a square. e) Draw a decagon. f) Draw a heptagon. g) Draw a pentagon. h) Draw an octagon. i) Draw a nonagon. j) Draw a trapezium. k) Draw a hexagon. l) Draw a rhombus. page 161

4 Skill 19.4 Describing polygons. Use the name of the polygon (poly means many and gon means angle to determine the number of interior angles or the number of s. Hint: The number of interior angles = The number of s. Q. How many s does a rhombus a) How many interior angles does a triangle A. 4 A rectangle, square, trapezium and rhombus all belong to the quadrilateral family: quad = 4 lateral = s b) How many s does a rectangle 3 c) How many s does a decagon d) How many interior angles does a square e) How many interior angles does a hexagon f) How many s does a pentagon g) How many s does a nonagon h) How many s does an octagon i) How many interior angles does a quadrilateral j) How many s does a heptagon page 162

5 Skill 19.5 Recognising properties of triangles and quadrilaterals. Look for equal s or equal angles. Look at the types of angles in the triangle. Look at the types of lines in the triangle or quadrilateral (parallel, perpendicular, symmetry). Q. This triangle has: A ) one line of symmetry B ) two parallel s C ) all s of equal length D ) one right angle A. D A, B and C are not true. D is the correct answer, because the triangle has a right angle. a) This square has: A ) one obtuse angle B ) no line of symmetry C ) all s of equal length D ) two acute angles C b) This kite has: A ) two parallel s B ) one line of symmetry C ) two perpendicular s D ) all s of equal length c) This rhombus has: A ) one right angle B ) two perpendicular s C ) all angles equal D ) two lines of symmetry d) This trapezium has: A ) one line of symmetry B ) two perpendicular s C ) two parallel s D ) all s of equal length e) I am a quadrilateral. I have both pairs of s parallel. I have four right angles. Any two adjacent s are not equal in length. What shape am I? A ) rectangle B ) square C ) rhombus f) I am a quadrilateral. I have opposite s that are parallel. My diagonals are not equal in length. What shape am I? A ) square B ) parallelogram C ) trapezium g) I am a quadrilateral. I have both pairs of s parallel. My diagonals are not equal in length but they do cross at right angles. What shape am I? A ) parallelogram B ) square C ) rhombus h) I am a quadrilateral. I have two pairs of equal s. My diagonals cross at right angles. I have only one line of symmetry. What shape am I? A ) square B ) kite C ) rectangle page 163

6 Skill 19.6 Describing 3D shapes. Count the number of: Faces, Edges and/or Vertices (points/corners). base vertex 3D SHAPE face edge... lateral face (vertical face) Q. What is the shape of the 3 lateral faces of the triangular prism? a) How many vertices does a triangular pyramid 1 Count the number of points c) How many edges does a rectangular prism A. rectangle The 2 parallel bases of a triangular prism are triangular in shape. These triangles, as for all prisms, are joined by rectangular faces. The number of rectangular faces is the same as the number of s on the base shape. b) How many edges does a rectangular pyramid d) How many faces does a hexagonal pyramid e) The base of a tetrahedron is triangular. What shape are the other faces? f) What is the shape of the 8 lateral (vertical) faces of the octagonal prism? g) How many vertices does a pentagonal pyramid h) What is the name of this solid? A ) pentagonal prism B ) hexagonal pyramid C ) pentagonal pyramid D ) hexagonal prism page 164

7 Skill 19.7 Measuring angles using a protractor. Place the centre of the protractor at the corner (vertex) of the angle. Align one line of the angle with a zero line on the protractor. Take the reading from where the second line of the angle crosses the scale on the protractor. Hint: Protractors can be read using either the in or out scale depending on which zero is used. Q. Using the protractor measure the size of the angle shown. A Read from the out scale. One line of the angle is at and the other line of the angle extends around to a) Using the protractor measure the size of the angle shown. b) Using the protractor measure the size of the angle shown c) Using the protractor measure the size of the angle shown. d) Using the protractor measure the size of the angle shown page 165

8 Skill 19.8 Recognising and drawing different types of angles. To recognise a type of angle Draw a right angle using one of the lines and the corner over each of the given angles. Compare each angle to the right angles you have drawn. RIGHT ANGLE A right angle measures (degrees). It is marked with a corner. To draw a type of angle Draw a line starting from one end of the given line. Draw the line according to the type of angle required (see Glossary). Mark the angle with a curved line. Q. Which angle is an obtuse angle? A ) B ) C ) A. C The angle is smaller than a right angle not obtuse The angle is equal to a right angle not obtuse The angle is greater than a right angle obtuse a) Which angle is a right angle? A ) B ) C ) b) Which angle is a straight angle? A ) B ) C ) c) Draw an obtuse angle using this line. d) Draw an acute angle using this line. e) Match the angle to its description. f) Match the angle to its description. acute obtuse reflex right reflex straight page 166

9 Skill 19.9 Identifying the shape of a cross section. Q. Name the shape of the cross section through the pentagonal pyramid. A. pentagon The base of the pyramid is a pentagon. The shape of the cross section will also be pentagonal. a) Name the shape of the cross section through the triangular prism. The view of the cross-section is the same as the view from the top. b) Name the shape of the cross section through the hexagonal pyramid. c) A fly on the ceiling, a father and a baby all looked at the television. Which view looks like the one seen by the fly? A) B) C) d) Which tree appears to be the biggest? A) B) C) e) Name the shape of the cross section through the pentagonal prism. f) Name the shape of the cross section through the square prism. g) Which shape shows the cross section produced by slicing through the points indicated on the cube? h) Which shape shows the cross section produced by slicing through the points indicated on the cube? A B C A B C page 167

10 Skill Identifying nets of 3D shapes (1). NETS of 3D SHAPES Cube Prism Pyramid Identify the shapes in the net. Imagine the shape folded. OR Make a model by tracing, cutting out and folding the net. Q. Which shape can this net be used to make? A ) hexagonal pyramid B ) hexagonal prism C ) rectangular prism A. B The net is formed from 2 hexagons and 6 rectangles. Pyramids have triangles as their lateral s. Prisms have rectangles. It must be a prism not a pyramid. This prism has hexagons as its base and top. OR Trace, cut out and fold the shape. a) Which of the boxes can be made from the net below? A ) B ) C ) Trace, cut out and fold the shape. B b) Which shape can this net be used to make? A ) cube B ) tetrahedron C ) square prism c) Which shape can this net be used to make? A ) square prism B ) rectangular prism C ) cube d) Which shape can this net be used to make? A ) triangular pyramid B ) square prism C ) square pyramid page 168

11 fold line Skill Identifying nets of 3D shapes (2). e) Which shape can this net be used to make? A ) cube B ) triangular prism C ) triangular pyramid f) Which of the boxes can be made from the net below? A ) B ) C ) g) What 3-dimensional shape can this net be used to make? h) What 3-dimensional shape can this net be used to make? fold line i) What 3-dimensional shape can this net be used to make? j) What 3-dimensional shape can this net be used to make? fold line fold line fold line k) What 3-dimensional shape can this net be used to make? l) What 3-dimensional shape can this net be used to make? fold line page 169

12 Skill Drawing top, and front views of 3D shapes. Drawing the top view of a 3D shape Imagine what you would see if you were looking at the solid from directly above. top top Drawing the view of a 3D shape Imagine what you would see if you were looking at one of the s of the solid. Drawing the front view of a 3D shape Imagine what you would see if you were looking at the front of the solid. Q. Draw the view of this solid. A. front front a) top b) top front Which shape is the view of the solid above? front Which shape is the top view of the solid above? A) B) C) A) B) C) c) Draw the front view of this solid. d) Draw the view of this solid. page

### 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

### Angles that are between parallel lines, but on opposite sides of a transversal.

GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,

### Shape Dictionary YR to Y6

Shape Dictionary YR to Y6 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use

### Begin recognition in EYFS Age related expectation at Y1 (secure use of language)

For more information - http://www.mathsisfun.com/geometry Begin recognition in EYFS Age related expectation at Y1 (secure use of language) shape, flat, curved, straight, round, hollow, solid, vertexvertices

### 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

### 11.3 Curves, Polygons and Symmetry

11.3 Curves, Polygons and Symmetry Polygons Simple Definition A shape is simple if it doesn t cross itself, except maybe at the endpoints. Closed Definition A shape is closed if the endpoints meet. Polygon

### Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees

Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Apex in a pyramid or cone, the vertex opposite the base; in

### *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

### UNIT H1 Angles and Symmetry Activities

UNIT H1 Angles and Symmetry Activities Activities H1.1 Lines of Symmetry H1.2 Rotational and Line Symmetry H1.3 Symmetry of Regular Polygons H1.4 Interior Angles in Polygons Notes and Solutions (1 page)

### Geometry. Unit 6. Quadrilaterals. Unit 6

Geometry Quadrilaterals Properties of Polygons Formed by three or more consecutive segments. The segments form the sides of the polygon. Each side intersects two other sides at its endpoints. The intersections

### 7.3 & 7.4 Polygon Formulas completed.notebook January 10, 2014

Chapter 7 Polygons Polygon 1. Closed Figure # of Sides Polygon Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 2. Straight sides/edges 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 12 Dodecagon 15 Pentadecagon

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

### 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

### 15 Polygons. 15.1 Angle Facts. Example 1. Solution. Example 2. Solution

15 Polygons MEP Y8 Practice Book B 15.1 Angle Facts In this section we revise some asic work with angles, and egin y using the three rules listed elow: The angles at a point add up to 360, e.g. a c a +

### Geometry Concepts. Figures that lie in a plane are called plane figures. These are all plane figures. Triangle 3

Geometry Concepts Figures that lie in a plane are called plane figures. These are all plane figures. Polygon No. of Sides Drawing Triangle 3 A polygon is a plane closed figure determined by three or more

### Working in 2 & 3 dimensions Revision Guide

Tips for Revising Working in 2 & 3 dimensions Make sure you know what you will be tested on. The main topics are listed below. The examples show you what to do. List the topics and plan a revision timetable.

### G3-33 Building Pyramids

G3-33 Building Pyramids Goal: Students will build skeletons of pyramids and describe properties of pyramids. Prior Knowledge Required: Polygons: triangles, quadrilaterals, pentagons, hexagons Vocabulary:

### Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.

Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know

### 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

### 3D shapes. Level A. 1. Which of the following is a 3-D shape? A) Cylinder B) Octagon C) Kite. 2. What is another name for 3-D shapes?

Level A 1. Which of the following is a 3-D shape? A) Cylinder B) Octagon C) Kite 2. What is another name for 3-D shapes? A) Polygon B) Polyhedron C) Point 3. A 3-D shape has four sides and a triangular

### 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:

### Wednesday, February 22 / Thursday, February 23. Student Objective (Obj. 3b) TSW identify three dimensional figures from nets.

Course: 7 th Grade Math DETAIL LESSON PLAN Wednesday, February 22 / Thursday, February 23 Student Objective (Obj. 3b) TSW identify three dimensional figures from nets. Lesson 8-9 Three-Dimensional Figures

### 15. PRISMS AND CYLINDERS

15. PRISMS AND CYLINDERS 15-1 Drawing prisms 2 15-2 Modelling prisms 4 15-3 Cross-sections of prisms 6 15-4 Nets of prisms 7 15-5 Euler's formula 8 15-6 Stacking prisms 9 15-7 Cylinders 10 15-8 Why is

### Chapter 8 Geometry We will discuss following concepts in this chapter.

Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles

### Su.a Supported: Identify Determine if polygons. polygons with all sides have all sides and. and angles equal angles equal (regular)

MA.912.G.2 Geometry: Standard 2: Polygons - Students identify and describe polygons (triangles, quadrilaterals, pentagons, hexagons, etc.), using terms such as regular, convex, and concave. They find measures

### II. Geometry and Measurement

II. Geometry and Measurement The Praxis II Middle School Content Examination emphasizes your ability to apply mathematical procedures and algorithms to solve a variety of problems that span multiple mathematics

### PRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES NCERT

UNIT 12 PRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES (A) Main Concepts and Results Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines,

### Nets of a cube puzzle

Nets of a cube puzzle Here are all eleven different nets for a cube, together with four that cannot be folded to make a cube. Can you find the four impostors? Pyramids Here is a square-based pyramid. A

### Maths Toolkit Teacher s notes

Angles turtle Year 7 Identify parallel and perpendicular lines; know the sum of angles at a point, on a straight line and in a triangle; recognise vertically opposite angles. Use a ruler and protractor

### 1 of 69 Boardworks Ltd 2004

1 of 69 2 of 69 Intersecting lines 3 of 69 Vertically opposite angles When two lines intersect, two pairs of vertically opposite angles are formed. a d b c a = c and b = d Vertically opposite angles are

### 2. If C is the midpoint of AB and B is the midpoint of AE, can you say that the measure of AC is 1/4 the measure of AE?

MATH 206 - Midterm Exam 2 Practice Exam Solutions 1. Show two rays in the same plane that intersect at more than one point. Rays AB and BA intersect at all points from A to B. 2. If C is the midpoint of

### Lesson 11. Playing Board Games. 3 D Objects

Math 5 Lesson 11 3 D Objects Playing Board Games Zach has a new board game that he wants to play with his friends. He notices that the box the game is stored in is a lot like the prism he learned about

### Mensuration Introduction

Mensuration Introduction Mensuration is the process of measuring and calculating with measurements. Mensuration deals with the determination of length, area, or volume Measurement Types The basic measurement

### 3D shapes quiz. Level: A. 1. A 3-D shape can also be called... A) A flat shape B) A solid shape C) A polygon. 2. Vertices are also called...

Level: A 1. A 3-D shape can also be called... A) A flat shape B) A solid shape C) A polygon 2. Vertices are also called... A) Edges B) Corners C) Faces D) Sides 3. A solid object has six faces which are

### CK-12 Geometry: Exploring Solids

CK-12 Geometry: Exploring Solids Learning Objectives Identify different types of solids and their parts. Use Euler s formula to solve problems. Draw and identify different views of solids. Draw and identify

### SHAPE, SPACE AND MEASURES

SHPE, SPCE ND MESURES Pupils should be taught to: Understand and use the language and notation associated with reflections, translations and rotations s outcomes, Year 7 pupils should, for example: Use,

### POLYGONS

POLYGONS 8.1.1 8.1.5 After studying triangles and quadrilaterals, students now extend their study to all polygons. A polygon is a closed, two-dimensional figure made of three or more nonintersecting straight

### LEVEL G, SKILL 1. Answers Be sure to show all work.. Leave answers in terms of ϖ where applicable.

Name LEVEL G, SKILL 1 Class Be sure to show all work.. Leave answers in terms of ϖ where applicable. 1. What is the area of a triangle with a base of 4 cm and a height of 6 cm? 2. What is the sum of the

### SHAPE, SPACE AND MEASURES

SHAPE, SPACE AND MEASURES Pupils should be taught to: Use accurately the vocabulary, notation and labelling conventions for lines, angles and shapes; distinguish between conventions, facts, definitions

### Every 3-dimensional shape has three measurements to describe it: height, length and width.

Every 3-dimensional shape has three measurements to describe it: height, length and width. Height Width Length Faces A face is one of the flat sides of a three-dimensional shape. Faces A cuboid has 6 flat

### UNIT PLAN. Big Idea/Theme: Shapes can be analyzed, described, and related to our physical world.

UNIT PLAN Grade Level: 2 Unit #: 5 Unit Name: Geometry Big Idea/Theme: Shapes can be analyzed, described, and related to our physical world. Culminating Assessment: Use real world objects from home, create

### *1. Understand the concept of a constant number like pi. Know the formula for the circumference and area of a circle.

Students: 1. Students deepen their understanding of measurement of plane and solid shapes and use this understanding to solve problems. *1. Understand the concept of a constant number like pi. Know the

### Circle Theorems. Angles at the circumference are equal. The angle in a semi-circle is x The angle at the centre. Cyclic Quadrilateral

The angle in a semi-circle is 90 0 Angles at the circumference are equal. A B They must come from the same arc. Look out for a diameter. 2x Cyclic Quadrilateral Opposite angles add up to 180 0 A They must

### 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

### Consolidation of Grade 6 EQAO Questions Geometry and Spatial Sense

Consolidation of Grade 6 EQAO Questions Geometry and Spatial Sense Compiled by Devika William-Yu (SE2 Math Coach) Overall Expectations GV1 Classify and construct polygons and angles GV2 GV3 Sketch three-dimensional

### 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

### 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

### Level 1. AfL Questions for assessing Strand Five : Understanding Shape. NC Level Objectives AfL questions from RF

AfL Questions for assessing Strand Five : Understanding Shape NC Level Objectives AfL questions from RF Level 1 I can use language such as circle or bigger to describe the shape and size of solids and

### Most classrooms are built in the shape of a rectangular prism. You will probably find yourself inside a polyhedron at school!

3 D OBJECTS Properties of 3 D Objects A 3 Dimensional object (3 D) is a solid object that has 3 dimensions, i.e. length, width and height. They take up space. For example, a box has three dimensions, i.e.

### The angle sum property of triangles can help determine the sum of the measures of interior angles of other polygons.

Interior Angles of Polygons The angle sum property of triangles can help determine the sum of the measures of interior angles of other polygons. The sum of the measures of the interior angles of a triangle

### A convex polygon is a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.

hapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.

### Which two rectangles fit together, without overlapping, to make a square?

SHAPE level 4 questions 1. Here are six rectangles on a grid. A B C D E F Which two rectangles fit together, without overlapping, to make a square?... and... International School of Madrid 1 2. Emily has

### Unit 3: Triangle Bisectors and Quadrilaterals

Unit 3: Triangle Bisectors and Quadrilaterals Unit Objectives Identify triangle bisectors Compare measurements of a triangle Utilize the triangle inequality theorem Classify Polygons Apply the properties

### STUDENT S BOOK. Geometry and measurement

STUDENT S BOOK IES Antoni Cumella (Granollers) Curs 2008-2009 2D shapes: Introduction, classification, properties. Before we start: Dimension and look around Worksheet 1: Names and definition of a polygon

### Shape and Space. General Curriculum Outcome E: Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

Shape and Space General Curriculum Outcome E: Students will demonstrate spatial sense and apply geometric concepts, properties and relationships. Elaboration Instructional Strategies/Suggestions KSCO:

### Shape and space resources: 2D and 3D shapes

Shape and space resources: 2D and 3D shapes Main Curriculum Elements Functional Mathematics Entry Level 1 recognise and name common 2D and 3D shapes Entry Level 2 - know properties of simple 2D and 3D

### Identifying Triangles 5.5

Identifying Triangles 5.5 Name Date Directions: Identify the name of each triangle below. If the triangle has more than one name, use all names. 1. 5. 2. 6. 3. 7. 4. 8. 47 Answer Key Pages 19 and 20 Name

### MODULE FRAMEWORK EN ASSESSMENT SHEET

MODULE FRAMEWORK EN ASSESSMENT SHEET LEARNING OUTCOMES (LOS) ASSESSMENT STANDARDS (ASS) FORMATIVE ASSESSMENT ASs Pages and (mark out of 4) LOs (ave. out of 4) SUMMATIVE ASSESSMENT Tasks or tests Ave for

Unit 8 Quadrilaterals Academic Geometry Spring 2014 Name Teacher Period 1 2 3 Unit 8 at a glance Quadrilaterals This unit focuses on revisiting prior knowledge of polygons and extends to formulate, test,

### BASIC GEOMETRY GLOSSARY

BASIC GEOMETRY GLOSSARY Acute angle An angle that measures between 0 and 90. Examples: Acute triangle A triangle in which each angle is an acute angle. Adjacent angles Two angles next to each other that

### Third Grade Shapes Up! Grade Level: Third Grade Written by: Jill Pisman, St. Mary s School East Moline, Illinois Length of Unit: Eight Lessons

Third Grade Shapes Up! Grade Level: Third Grade Written by: Jill Pisman, St. Mary s School East Moline, Illinois Length of Unit: Eight Lessons I. ABSTRACT This unit contains lessons that focus on geometric

### A. 32 cu ft B. 49 cu ft C. 57 cu ft D. 1,145 cu ft. F. 96 sq in. G. 136 sq in. H. 192 sq in. J. 272 sq in. 5 in

7.5 The student will a) describe volume and surface area of cylinders; b) solve practical problems involving the volume and surface area of rectangular prisms and cylinders; and c) describe how changing

### Grade 4 - Module 4: Angle Measure and Plane Figures

Grade 4 - Module 4: Angle Measure and Plane Figures Acute angle (angle with a measure of less than 90 degrees) Angle (union of two different rays sharing a common vertex) Complementary angles (two angles

### Lesson 6: Polygons and Angles

Lesson 6: Polygons and Angles Selected Content Standards Benchmark Assessed: G.4 Using inductive reasoning to predict, discover, and apply geometric properties and relationships (e.g., patty paper constructions,

### THE LAWRENCE SCHOOL SANAWAR

THE LAWRENCE SCHOOL SANAWAR Syllabus for Class VII Entrance Examination: MATHEMATICS Number System (i) Knowing our Numbers: Consolidating the sense of numberness up to 5 digits, Size, estimation of numbers,

### Shapes & Designs Notes

Problem 1.1 Definitions: regular polygons - polygons in which all the side lengths and angles have the same measure edge - also referred to as the side of a figure tiling - covering a flat surface with

### 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

# 30-60 right triangle, 441-442, 684 A Absolute value, 59 Acute angle, 77, 669 Acute triangle, 178 Addition Property of Equality, 86 Addition Property of Inequality, 258 Adjacent angle, 109, 669 Adjacent

### Math Dictionary Terms for Grades K-1:

Math Dictionary Terms for Grades K-1: A Addend - one of the numbers being added in an addition problem Addition - combining quantities And - 1) combine, 2) shared attributes, 3) represents decimal point

### Unit 8 Geometry QUADRILATERALS. NAME Period

Unit 8 Geometry QUADRILATERALS NAME Period 1 A little background Polygon is the generic term for a closed figure with any number of sides. Depending on the number, the first part of the word Poly is replaced

### SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4

SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4 Exploring triangles Resources required: Each pair students will need: 1 container (eg. a rectangular plastic takeaway container) 5 long pipe cleaners

### 56 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 224 points.

6.1.1 Review: Semester Review Study Sheet Geometry Core Sem 2 (S2495808) Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which

### An arrangement that shows objects in rows and columns Example:

1. acute angle : An angle that measures less than a right angle (90 ). 2. addend : Any of the numbers that are added 2 + 3 = 5 The addends are 2 and 3. 3. angle : A figure formed by two rays that meet

### 9 Area, Perimeter and Volume

9 Area, Perimeter and Volume 9.1 2-D Shapes The following table gives the names of some 2-D shapes. In this section we will consider the properties of some of these shapes. Rectangle All angles are right

### Centroid: The point of intersection of the three medians of a triangle. Centroid

Vocabulary Words Acute Triangles: A triangle with all acute angles. Examples 80 50 50 Angle: A figure formed by two noncollinear rays that have a common endpoint and are not opposite rays. Angle Bisector:

### Line Segments, Rays, and Lines

HOME LINK Line Segments, Rays, and Lines Family Note Help your child match each name below with the correct drawing of a line, ray, or line segment. Then observe as your child uses a straightedge to draw

### Name: 22K 14A 12T /48 MPM1D Unit 7 Review True/False (4K) Indicate whether the statement is true or false. Show your work

Name: _ 22K 14A 12T /48 MPM1D Unit 7 Review True/False (4K) Indicate whether the statement is true or false. Show your work 1. An equilateral triangle always has three 60 interior angles. 2. A line segment

### MENSURATION. Definition

MENSURATION Definition 1. Mensuration : It is a branch of mathematics which deals with the lengths of lines, areas of surfaces and volumes of solids. 2. Plane Mensuration : It deals with the sides, perimeters

### 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.

Determine whether the figure is a polygon. If it is, classify the polygon. If it is not a polygon, explain why. 1. 5. KALEIDOSCOPE The kaleidoscope image shown is a regular polygon with 14 sides. What

### 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

### Rectangular Prisms Dimensions

Rectangular Prisms Dimensions 5 Rectangular prisms are (3-D) three-dimensional figures, which means they have three dimensions: a length, a width, and a height. The length of this rectangular prism is

### Grade 3 Math Expressions Vocabulary Words

Grade 3 Math Expressions Vocabulary Words Unit 1, Book 1 Place Value and Multi-Digit Addition and Subtraction OSPI words not used in this unit: add, addition, number, more than, subtract, subtraction,

### A of a polygon is a segment that joins two nonconsecutive vertices. 1. How many degrees are in a triangle?

8.1- Find Angle Measures in Polygons SWBAT: find interior and exterior angle measures in polygons. Common Core: G.CO.11, G.CO.13, G.SRT.5 Do Now Fill in the blank. A of a polygon is a segment that joins

### Geometry Vocabulary. Created by Dani Krejci referencing:

Geometry Vocabulary Created by Dani Krejci referencing: http://mrsdell.org/geometry/vocabulary.html point An exact location in space, usually represented by a dot. A This is point A. line A straight path

### Mathematics Materials for Tomorrow s Teachers

M2T2 E 1 Geometry Mathematics Materials for Tomorrow s Teachers STATE GOAL 9: Use geometric methods to analyze, categorize, and draw conclusions about points, lines, planes, and space. Statement of Purpose:

Dear Grade 4 Families, During the next few weeks, our class will be exploring geometry. Through daily activities, we will explore the relationship between flat, two-dimensional figures and solid, three-dimensional

### Unit 8. Ch. 8. "More than three Sides"

Unit 8. Ch. 8. "More than three Sides" 1. Use a straightedge to draw CONVEX polygons with 4, 5, 6 and 7 sides. 2. In each draw all of the diagonals from ONLY ONE VERTEX. A diagonal is a segment that joins

### 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

### 11. A polyhedron is said to be concave if at least one angle between any of its two edges is a reflex angle.

BOOK 8 ( CBSE / Chap10 /Visualizing Solid Shapes Chapter Facts. 1. A plane figure has two dimensions (2 D and a solid figure has three dimensions ( 3 D. 2. Some solid shapes consist of one figure embedded

### Geometry. 1.4 Perimeter and Area in the Coordinate Plane

Geometry 1.4 Perimeter and Area in the Coordinate Plane Essential Question How can I find the perimeter and area of a polygon in a coordinate plane? What You Will Learn Classify polygons Find perimeters

### Grade 4 Math Expressions Vocabulary Words

Grade 4 Math Expressions Vocabulary Words Link to Math Expression Online Glossary for some definitions: http://wwwk6.thinkcentral.com/content/hsp/math/hspmathmx/na/gr4/se_9780547153131_/eglos sary/eg_popup.html?grade=4

### MATH 139 FINAL EXAM REVIEW PROBLEMS

MTH 139 FINL EXM REVIEW PROLEMS ring a protractor, compass and ruler. Note: This is NOT a practice exam. It is a collection of problems to help you review some of the material for the exam and to practice

Answers and Teachers Notes Contents Introduction 2 Answers 3 Teachers Notes 12 Copymasters 34 Introduction The Figure It Out series is designed to support Mathematics in the New Zealand Curriculum. The

### Math Dictionary Terms for Grades 4-5:

Math Dictionary Terms for Grades 4-5: A Acute - an angle less than 90 Addend - one of the numbers being added in an addition problem Addition - combining quantities Algebra - a strand of mathematics in

### 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

### acute angle acute triangle Cartesian coordinate system concave polygon congruent figures

acute angle acute triangle Cartesian coordinate system concave polygon congruent figures convex polygon coordinate grid coordinates dilatation equilateral triangle horizontal axis intersecting lines isosceles

### SOLIDS, NETS, AND CROSS SECTIONS

SOLIDS, NETS, AND CROSS SECTIONS Polyhedra In this section, we will examine various three-dimensional figures, known as solids. We begin with a discussion of polyhedra. Polyhedron A polyhedron is a three-dimensional