Polygon Stencil Watercolor Painting 2 Sessions 90 minutes each

Size: px
Start display at page:

Download "Polygon Stencil Watercolor Painting 2 Sessions 90 minutes each"

Transcription

1 Polygon Stencil Watercolor Painting 2 Sessions 90 minutes each Essential Question: How can we combine and divide shapes to create new shapes? Lesson Goal: Students use pattern blocks to create overlapping designs of repeated polygons. Lesson Objectives: Students will be able to: differentiate between polygons based on specific attributes. combine and divide polygons into other polygons in order to create a repeated and balanced pattern. use basic stenciling and watercolor techniques. use overlapping and repetition in their artwork in order to achieve balanced compositions. Common Core State Standards for Mathematics Geometry 2.G: Reason with shapes and their attributes.1. Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. Visual Art Content Standards ARTISTIC PERCEPTION 1.1: Perceive and describe repetition and balance in nature, in the environment, and in works of art. CREATIVE EXPRESSION 2.1: Demonstrate beginning skill in the use of basic tools and art-making processes, such as stencils. 2.2: Demonstrate beginning skill in the use of art media, such as colored pencils and watercolor. HISTORICAL AND CULTURAL CONTEXT 3.2: Recognize and use the vocabulary of art to describe art objects from various cultures and time periods. AESTHETIC VALUING 4.3: Use the vocabulary of art to talk about what they wanted to do in their own works of art and how they succeeded. Materials Pattern blocks Colored pencils Tissue paper glue Watercolor paper Paint brushes Water cups Scissors Key Vocabulary Visual Art: repetition; balance; pattern Math: triangle; quadrilateral (trapezoid; rhombus; square, rectangle, parallelogram) pentagon; hexagon; polygon; plane shape 1

2 Common Core Math Standard Background: Second grade students describe and analyze shapes by examining their sides and angles. Students investigate, describe, and reason about decomposing and combining shapes to make other shapes. Through building, drawing, and analyzing two- and three-dimensional shapes, students develop a foundation for understanding area, volume, congruence, similarity, and symmetry in later grades. PRE-LESSON MATH ACTIVITY Attributes of shapes Remember the name of a shape is less about a specific form and more about the attributes. For instance, a rhombus is usually identified as looking like the blue pattern block. However, there are other formations that can represent a rhombus, based on the attributes. Begin by teaching your students how to trace an object. Ask the student to follow the outlined steps for each shape (triangle, square, trapezoid, rhombus/diamond, parallelogram, hexagon): 1. Trace the shape in their journals. 2. Write the name of the shape next to the traced shape. 3. Count the sides of the shape and label and put a notch on each side. 4. Count the vertices of the shape and label. Discuss the attributes of a pentagon. Note: this can be created from a triangle pattern block with a square. Discuss the attributes of a rectangle. Note: this can be created from multiple square pattern blocks. You can also cut a piece of 8.5 x 11 paper to demonstrate that two right triangles make a rectangle. Shapes can be divided up into new shapes Ask students to draw seven hexagons in their journal. Discovery: we can make shapes by using a pattern block and tracing it onto a paper. We can also make a hexagon by using other shapes to form the hexagon. Teacher: Choose a triangle, rhombus, or trapezoid. How many of each shape will it take to cover the hexagon? Instruct the students to find all seven ways to create a hexagon using a combination of attribute blocks. Remind them that when all the shapes are not equal, we cannot equate them to fractions unless students have an understanding of equivalent fractions. Also, ask students to find both ways to create a trapezoid, using more than one block. Next, ask students to find a way to create a rhombus, using more than one pattern block (two green triangles). 2

3 Student Math Talk What were some of your strategies for finding shapes? How did you make sure your solutions were all different? What helped you decide that you had found all the possible combinations? Why didn t you use the orange square and the tan parallelogram? Extension: Shapes can be combined to make new shapes. One or two of the following extensions can be employed in your classroom. Students create an equilateral triangle out of 3 units, or a bigger rhombus or bigger trapezoid (give worksheets to show this). Give students a certain amount of shapes (e.g. four triangles) and ask them what shapes can be made with them. If students have time, they can trace the attribute blocks they have used to come up with the shape. 3

4 Session 1 Attribute block design ACCESS PRIOR KNOWLEDGE (10 min) What geometric shapes do you know? Hold attribute blocks up and ask students to name each one (triangle, square, trapezoid, rhombus/diamond, parallelogram, hexagon). What polygons can be combined to form other polygons? What is an organic shape? How does it differ from a geometric shape or a polygon? WARM-UP ACTIVITY (50 min) Part 1: Divide students into pairs or groups of three or four. Give student groups five triangles, one square, and one parallelogram. Ask student groups to work together to find different ways to construct shapes, using different amounts of pattern blocks. Use this matrix as a guide, but have students record their findings in their journals. 1 piece triangle square parallelogram trapezoid 2 pieces 3 pieces 4 pieces 5 pieces Ask students to share the different ways they constructed new shapes using other shapes. LOOKING AT ART (20 min) Now let s take a look at the artwork of Terry Winters and see how it connects to the concept of shape, pattern, and balance. Show students the work of Terry Winters. Ask the following questions: What do you see? What polygons do you recognize? Where do you see shapes repeated? (review repetition ) What colors appear closer and further away? What kinds of patterns do you see? What do you think the artist did first when he made this work? How do you think Terry Winters created balance in this painting? Where do you imagine the artist got his idea for this painting? What could you take from this artwork and use in your own artwork next week? 4

5 Part 2: Students place colored pieces of tissue paper on a larger piece of watercolor paper and paint over it with water. After allowing the tissue paper to dry, instruct the students to peel off the tissue paper to reveal the bleeding watercolor effect that will produce interesting organic shapes. This will then become the background for the painting they will produce the following session, so set this paper aside to be used later. CLOSURE (10 min) What did you learn when creating new polygons out of the different pattern blocks? What did you discover about working with the tissue paper in this way? What did you learn about color blending? 5

6 Session 2 Creating a Geometric and Organic Design ACCESS PRIOR KNOWLEDGE (10 min) How would you describe a polygon? What do you remember about creating polygons? What can we say about pattern and balance when looking at Terry Winters paintings? ART ACTIVITY (60 min) Begin with a demonstration of how to trace around a polygon using a colored pencil. Model how to think about using the space on their watercolor background. Ask: Where will you put geometric shapes? 1. Give each student a hexagon, square, rhombus, parallelogram, trapezoid, and triangle pattern block shape. 2. Trace pattern blocks to fill in the paper overlapping their shapes onto the organic watercolor. Model the thought process of planning out a balanced use of space on the page. 3. Tell the students that they will need to show more than one way to make different shapes (refer back to the tracing of the hexagons in the pre-lesson session). 4. In their journal, students create a color key, assigning a color to every shape. (Example: pink: hexagons, green: parallelograms, yellow: trapezoids, etc). 5. Ask the students to then trace the shapes in the assigned colors. They should be able to show more than one way to make most of the shapes. CLOSURE (20 min) Divide the class into pairs or groups of three or four. Write these questions on the board: What polygons do you recognize in one of your classmates artworks? How does your work show repetition and balance? What happened when you overlapped different colors in your painting? What did you see in the Terry Winters images that influenced you? What did you want to create in your artwork? How did you succeed? What title would you give to your artwork? If you could do this project again, what would you do differently? 6

7 POST-LESSON MATH FOCUS QUESTIONS: What is the difference between plane and solid shapes? Describe. Why is it important to know the attributes of a shape? Can you look at real objects and see the geometrical shapes that help build them? Describe & draw something in the room that is made up of more than two shapes. 7

8 Terry Winters (American, b.1949) is a painter and engraver whose paintings resonate well with the Modernist legacy. Winters was born in Brooklyn, NY, and he graduated with a BFA from the Pratt Institute in In the 1970s, Winters and his peers such as Carroll Dunham (American, b.1949) and Stephen Mueller (American, b.1947) were interested in variegated mark making without sacrificing the physicality and nonnarrative abstractness that were integral to Modernism. Most of Winters''s work is inspired by architecture, technology, and the natural sciences in general. In the 1990s, Winters started to use a lot of grids and colored shapes in his paintings. Winters is also a highly skilled printmaker and draftsman, and he often exhibits works from this genre aside from his painting exhibitions. 8

9 9

10 10

Lesson #13 Congruence, Symmetry and Transformations: Translations, Reflections, and Rotations

Lesson #13 Congruence, Symmetry and Transformations: Translations, Reflections, and Rotations Math Buddies -Grade 4 13-1 Lesson #13 Congruence, Symmetry and Transformations: Translations, Reflections, and Rotations Goal: Identify congruent and noncongruent figures Recognize the congruence of plane

More information

G3-33 Building Pyramids

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:

More information

Grade 8 Mathematics Geometry: Lesson 2

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

More information

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 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

More information

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

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

More information

Fractions In Action! Dawn Jesse

Fractions In Action! Dawn Jesse Fractions In Action! Dawn Jesse Fractions In Action Dawn Jesse Fractions In Action is an interactive activity that consists of direct instruction, cooperative learning and is inquire based. As the students

More information

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. 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

More information

Grade 3 Core Standard III Assessment

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

More information

Dear Grade 4 Families,

Dear Grade 4 Families, 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

More information

Investigating Quadrilaterals Grade Four

Investigating Quadrilaterals Grade Four Ohio Standards Connection Geometry and Spatial Sense Benchmark A Provide rationale for groupings and comparisons of two-dimensional figures and three-dimensional objects. Indicator 3 Identify similarities

More information

Estimating Angle Measures

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

More information

3. Relationship between this Unit and the Principles and Standards for School Mathematics (NCTM 2000). This Unit

3. Relationship between this Unit and the Principles and Standards for School Mathematics (NCTM 2000). This Unit 4 th Grade Mathematics Lesson Plan April 16-18, 2002 Brewer Island School, San Mateo, CA Instructor: Akihiko Takahashi 1. Title of Unit: Finding the Area of Shapes 2. Goal: a. To deepen students understanding

More information

E XPLORING QUADRILATERALS

E XPLORING QUADRILATERALS E XPLORING QUADRILATERALS E 1 Geometry State Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. Statement of Purpose: The activities in this

More information

UNIT H1 Angles and Symmetry Activities

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)

More information

Chapter 18 Symmetry. Symmetry of Shapes in a Plane 18.1. then unfold

Chapter 18 Symmetry. Symmetry of Shapes in a Plane 18.1. then unfold Chapter 18 Symmetry Symmetry is of interest in many areas, for example, art, design in general, and even the study of molecules. This chapter begins with a look at two types of symmetry of two-dimensional

More information

CCSS-M Critical Areas: Kindergarten

CCSS-M Critical Areas: Kindergarten CCSS-M Critical Areas: Kindergarten Critical Area 1: Represent and compare whole numbers Students use numbers, including written numerals, to represent quantities and to solve quantitative problems, such

More information

Problem of the Month: William s Polygons

Problem of the Month: William s Polygons Problem of the Month: William s Polygons The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common

More information

Problem of the Month: Cutting a Cube

Problem of the Month: Cutting a Cube Problem of the Month: The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards:

More information

Grade 1 Geometric Shapes Conceptual Lessons Unit Outline Type of Knowledge & SBAC Claim Prerequisite Knowledge:

Grade 1 Geometric Shapes Conceptual Lessons Unit Outline Type of Knowledge & SBAC Claim Prerequisite Knowledge: Grade 1 Geometric Shapes Conceptual Lessons Unit Outline Type of Knowledge & SBAC Claim Prerequisite Knowledge: Standards: Lesson Title and Objective/Description Shape names: square, rectangle, triangle,

More information

Line Segments, Rays, and Lines

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

More information

angle attribute Figure 1 4 right angles opposite sides parallel Lesson 14 5 Lesson 14 4 Vocab

angle attribute Figure 1 4 right angles opposite sides parallel Lesson 14 5 Lesson 14 4 Vocab Vocab angle attribute 006_055_G4_VisV_101741.indd Page F46 2/13/10 11:27:36 PM u-s014 /Volumes/114/GO00403/GO00403_Natl_Visual_Voca_Cards_G4%0 Figure 1 4 right angles opposite sides parallel endpoint hexagon

More information

1st Grade Math Standard I Rubric. Number Sense. Score 4 Students show proficiency with numbers beyond 100.

1st Grade Math Standard I Rubric. Number Sense. Score 4 Students show proficiency with numbers beyond 100. 1st Grade Math Standard I Rubric Number Sense Students show proficiency with numbers beyond 100. Students will demonstrate an understanding of number sense by: --counting, reading, and writing whole numbers

More information

Target To know the properties of a rectangle

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

More information

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

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

More information

11.3 Curves, Polygons and Symmetry

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

More information

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

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

More information

Shapes & Designs Notes

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

More information

Activities Grades K 2 THE FOUR-SQUARE QUILT. Put triangles together to make patterns.

Activities Grades K 2 THE FOUR-SQUARE QUILT. Put triangles together to make patterns. Activities Grades K 2 www.exploratorium.edu/geometryplayground/activities THE FOUR-SQUARE QUILT Put triangles together to make patterns. [45 minutes] Materials: Four-Square Quilt Template (attached) Triangle

More information

Geometry of 2D Shapes

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

More information

Investigating Relationships of Area and Perimeter in Similar Polygons

Investigating Relationships of Area and Perimeter in Similar Polygons Investigating Relationships of Area and Perimeter in Similar Polygons Lesson Summary: This lesson investigates the relationships between the area and perimeter of similar polygons using geometry software.

More information

Activity 1 Find lines of symmetry.

Activity 1 Find lines of symmetry. Name Find and Draw Lines of Symmetry Essential Question How do you find lines of symmetry? Lesson 10.6 Geometry 4.G.A.3 MATHEMATICAL PRACTICES MP1, MP7, MP8 Unlock the Problem How many lines of symmetry

More information

Making tessellations combines the creativity of an art project with the challenge of solving a puzzle.

Making tessellations combines the creativity of an art project with the challenge of solving a puzzle. Activities Grades 3 5 www.exploratorium.edu/geometryplayground/activities EXPLORING TESSELLATIONS Background: What is a tessellation? A tessellation is any pattern made of repeating shapes that covers

More information

Activities Grades K 2 EXPLORING TESSELLATIONS. Background: What is a tessellation? Part One: Tessellating with One Shape

Activities Grades K 2 EXPLORING TESSELLATIONS. Background: What is a tessellation? Part One: Tessellating with One Shape Activities Grades K 2 www.exploratorium.edu/geometryplayground/activities EXPLORING TESSELLATIONS Background: What is a tessellation? A tessellation is any pattern made of repeating shapes that covers

More information

GRADE 3 CURRICULUM COMPANION - ACTIVITIES PANOPLY SCHOOL DAYS ~ STUDENT ART TENT

GRADE 3 CURRICULUM COMPANION - ACTIVITIES PANOPLY SCHOOL DAYS ~ STUDENT ART TENT ACTIVITY ONE (BEFORE VISITNG PANOPLY SCHOOL DAYS) ART VOCABULARY Students will learn art related vocabulary words in order to better understand and evaluate what they observe in the Student Art Tent. Within

More information

Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9 Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

More information

Drawing Lines of Symmetry Grade Three

Drawing Lines of Symmetry Grade Three Ohio Standards Connection Geometry and Spatial Sense Benchmark H Identify and describe line and rotational symmetry in two-dimensional shapes and designs. Indicator 4 Draw lines of symmetry to verify symmetrical

More information

Unit 10 Grade 7 Volume of Right Prisms

Unit 10 Grade 7 Volume of Right Prisms Unit 10 Grade 7 Volume of Right Prisms Lesson Outline Big Picture Students will: develop and apply the formula: Volume = area of the base height to calculate volume of right prisms; understand the relationship

More information

Classifying Quadrilaterals

Classifying Quadrilaterals 1 lassifying Quadrilaterals Identify and sort quadrilaterals. 1. Which of these are parallelograms?,, quadrilateral is a closed shape with 4 straight sides. trapezoid has exactly 1 pair of parallel sides.

More information

Review of Basic Fraction Concepts

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

More information

Three-Dimensional Figures or Space Figures. Rectangular Prism Cylinder Cone Sphere. Two-Dimensional Figures or Plane Figures

Three-Dimensional Figures or Space Figures. Rectangular Prism Cylinder Cone Sphere. Two-Dimensional Figures or Plane Figures SHAPE NAMES Three-Dimensional Figures or Space Figures Rectangular Prism Cylinder Cone Sphere Two-Dimensional Figures or Plane Figures Square Rectangle Triangle Circle Name each shape. [triangle] [cone]

More information

Warning! Construction Zone: Building Solids from Nets

Warning! Construction Zone: Building Solids from Nets Brief Overview: Warning! Construction Zone: Building Solids from Nets In this unit the students will be examining and defining attributes of solids and their nets. The students will be expected to have

More information

Grade 3 Geometry and Spatial Sense. Name:

Grade 3 Geometry and Spatial Sense. Name: Grade 3 Geometry and Spatial Sense Name: Ontario Mathematics Curriculum Grades 1 to 8, 1997 Strand: Geometry and Spatial Sense Grade: 3 All rights reserved Developed by T. Tasker May be photocopied for

More information

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 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

More information

Situation: Proving Quadrilaterals in the Coordinate Plane

Situation: Proving Quadrilaterals in the Coordinate Plane Situation: Proving Quadrilaterals in the Coordinate Plane 1 Prepared at the University of Georgia EMAT 6500 Date Last Revised: 07/31/013 Michael Ferra Prompt A teacher in a high school Coordinate Algebra

More information

Teaching Guidelines. Knowledge and Skills: Can specify defining characteristics of common polygons

Teaching Guidelines. Knowledge and Skills: Can specify defining characteristics of common polygons CIRCLE FOLDING Teaching Guidelines Subject: Mathematics Topics: Geometry (Circles, Polygons) Grades: 4-6 Concepts: Property Diameter Radius Chord Perimeter Area Knowledge and Skills: Can specify defining

More information

GEOMETRY. Constructions OBJECTIVE #: G.CO.12

GEOMETRY. Constructions OBJECTIVE #: G.CO.12 GEOMETRY Constructions OBJECTIVE #: G.CO.12 OBJECTIVE Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic

More information

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?

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

More information

Earth Art: Creating Patterns in Nature

Earth Art: Creating Patterns in Nature Earth Art: Creating Patterns in Nature SEASONS: SUBJECTS: PREP TIME: EXT. SUBJECT: LESSON TIME: X MATERIALS For the class: computer with Internet access, camera (optional), outdoor space with a variety

More information

Algebra Geometry Glossary. 90 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:

More information

Geometry of Minerals

Geometry of Minerals Geometry of Minerals Objectives Students will connect geometry and science Students will study 2 and 3 dimensional shapes Students will recognize numerical relationships and write algebraic expressions

More information

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

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

More information

MATH STUDENT BOOK. 6th Grade Unit 8

MATH STUDENT BOOK. 6th Grade Unit 8 MATH STUDENT BOOK 6th Grade Unit 8 Unit 8 Geometry and Measurement MATH 608 Geometry and Measurement INTRODUCTION 3 1. PLANE FIGURES 5 PERIMETER 5 AREA OF PARALLELOGRAMS 11 AREA OF TRIANGLES 17 AREA OF

More information

Contents. Grades K-2 1. Math Notebook Cover Template 2. Table of Contents Template

Contents. Grades K-2 1. Math Notebook Cover Template 2. Table of Contents Template Getting started with Interactive Math Notebooks Contents Grade 3-5 1. Math Notebook Expectations 2. Preparing your Math Notebook 3. Math Notebook Cover Template 4. Hints for Implementing Math Notebooks

More information

Mathematics Materials for Tomorrow s Teachers

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:

More information

Shape Dictionary YR to Y6

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

More information

TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM

TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM 7 th Grade Math TAKS-STAAR-STAAR-M Comparison Spacing has been deleted and graphics minimized to fit table. (1) Number, operation, and quantitative reasoning. The student represents and uses numbers in

More information

PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.

PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures. PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the

More information

Geometry Progress Ladder

Geometry Progress Ladder 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

More information

Geometry Module 4 Unit 2 Practice Exam

Geometry Module 4 Unit 2 Practice Exam Name: Class: Date: ID: A Geometry Module 4 Unit 2 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which diagram shows the most useful positioning

More information

CBA Fractions Student Sheet 1

CBA Fractions Student Sheet 1 Student Sheet 1 1. If 3 people share 12 cookies equally, how many cookies does each person get? 2. Four people want to share 5 cakes equally. Show how much each person gets. Student Sheet 2 1. The candy

More information

Such As Statements, Kindergarten Grade 8

Such As Statements, Kindergarten Grade 8 Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential

More information

Postulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.

Postulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same. Chapter 11: Areas of Plane Figures (page 422) 11-1: Areas of Rectangles (page 423) Rectangle Rectangular Region Area is measured in units. Postulate 17 The area of a square is the square of the length

More information

Glow-in-the-Dark Geometry

Glow-in-the-Dark Geometry The Big Idea Glow-in-the-Dark Geometry This week you ll make geometric shapes out of glow sticks. The kids will try all sizes and shapes of triangles and quadrilaterials, then lay out sticks in mystical

More information

Performance Assessment Task Which Shape? Grade 3. Common Core State Standards Math - Content Standards

Performance Assessment Task Which Shape? Grade 3. Common Core State Standards Math - Content Standards Performance Assessment Task Which Shape? Grade 3 This task challenges a student to use knowledge of geometrical attributes (such as angle size, number of angles, number of sides, and parallel sides) to

More information

39 Symmetry of Plane Figures

39 Symmetry of Plane Figures 39 Symmetry of Plane Figures In this section, we are interested in the symmetric properties of plane figures. By a symmetry of a plane figure we mean a motion of the plane that moves the figure so that

More information

Discovering Math: Exploring Geometry Teacher s Guide

Discovering Math: Exploring Geometry Teacher s Guide Teacher s Guide Grade Level: 6 8 Curriculum Focus: Mathematics Lesson Duration: Three class periods Program Description Discovering Math: Exploring Geometry From methods of geometric construction and threedimensional

More information

Overview. Essential Questions. Grade 8 Mathematics, Quarter 4, Unit 4.3 Finding Volume of Cones, Cylinders, and Spheres

Overview. Essential Questions. Grade 8 Mathematics, Quarter 4, Unit 4.3 Finding Volume of Cones, Cylinders, and Spheres Cylinders, and Spheres Number of instruction days: 6 8 Overview Content to Be Learned Evaluate the cube root of small perfect cubes. Simplify problems using the formulas for the volumes of cones, cylinders,

More information

Geometric Transformations Grade Four

Geometric Transformations Grade Four Ohio Standards Connection Geometry and Spatial Sense Benchmark I Describe, identify and model reflections, rotations and translations, using physical materials. Indicator 7 Identify, describe and use reflections

More information

BUILDING THREE-DIMENSIONAL (3D) STRUCTURES

BUILDING THREE-DIMENSIONAL (3D) STRUCTURES Activities Grades 6 8 www.exploratorium.edu/geometryplayground/activities BUILDING THREE-DIMENSIONAL (3D) STRUCTURES Draw a 3D structure in two dimensions. [60 minutes] Materials: Six cubes (any cubes,

More information

Volume of Pyramids and Cones

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

More information

1. I have 4 sides. My opposite sides are equal. I have 4 right angles. Which shape am I?

1. I have 4 sides. My opposite sides are equal. I have 4 right angles. Which shape am I? Which Shape? This problem gives you the chance to: identify and describe shapes use clues to solve riddles Use shapes A, B, or C to solve the riddles. A B C 1. I have 4 sides. My opposite sides are equal.

More information

Circumference Pi Regular polygon. Dates, assignments, and quizzes subject to change without advance notice.

Circumference Pi Regular polygon. Dates, assignments, and quizzes subject to change without advance notice. Name: Period GPreAP UNIT 14: PERIMETER AND AREA I can define, identify and illustrate the following terms: Perimeter Area Base Height Diameter Radius Circumference Pi Regular polygon Apothem Composite

More information

Grade 6. Mathematics. Student Booklet. Spring 2013. Assessment of Reading, Writing and Mathematics, Junior Division RELEASED ASSESSMENT QUESTIONS

Grade 6. Mathematics. Student Booklet. Spring 2013. Assessment of Reading, Writing and Mathematics, Junior Division RELEASED ASSESSMENT QUESTIONS Grade 6 Assessment of Reading, Writing and Mathematics, Junior Division Student Booklet Mathematics Spring 2013 RELEASED ASSESSMENT QUESTIONS Record your answers on the Multiple-Choice Answer Sheet. Beginning

More information

Indicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities.

Indicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities. 3 rd Grade Math Learning Targets Algebra: Indicator 1: Use procedures to transform algebraic expressions. 3.A.1.1. Students are able to explain the relationship between repeated addition and multiplication.

More information

Making tessellations combines the creativity of an art project with the challenge of solving a puzzle.

Making tessellations combines the creativity of an art project with the challenge of solving a puzzle. Activities Grades 6 8 www.exploratorium.edu/geometryplayground/activities EXPLORING TESSELLATIONS Background: What is a tessellation? A tessellation is any pattern made of repeating shapes that covers

More information

FIRST GRADE MATH Summer 2011

FIRST GRADE MATH Summer 2011 Standards Summer 2011 1 OA.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in

More information

Chapter 17. Geometric Thinking and Geometric Concepts. T he geometry curriculum in grades K 8 should provide an

Chapter 17. Geometric Thinking and Geometric Concepts. T he geometry curriculum in grades K 8 should provide an Chapter 17 Geometric Thinking and Geometric Concepts T he geometry curriculum in grades K 8 should provide an opportunity to experience shapes in as many different forms as possible. These should include

More information

Commutative Property Grade One

Commutative Property Grade One Ohio Standards Connection Patterns, Functions and Algebra Benchmark E Solve open sentences and explain strategies. Indicator 4 Solve open sentences by representing an expression in more than one way using

More information

Geometry Enduring Understandings Students will understand 1. that all circles are similar.

Geometry Enduring Understandings Students will understand 1. that all circles are similar. High School - Circles Essential Questions: 1. Why are geometry and geometric figures relevant and important? 2. How can geometric ideas be communicated using a variety of representations? ******(i.e maps,

More information

MATHEMATICS GRADE 2 Extension Projects

MATHEMATICS GRADE 2 Extension Projects MATHEMATICS GRADE 2 Extension Projects WITH INVESTIGATIONS 2009 These projects are optional and are meant to be a springboard for ideas to enhance the Investigations curriculum. Use them to help your students

More information

Geometry Notes PERIMETER AND AREA

Geometry Notes PERIMETER AND AREA Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

More information

1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. NCTM STANDARD 1: Numbers and Operations Kindergarten Grade 2 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Kindergarten Grade One Grade Two 1. Count

More information

First Grade: April Lesson 6: Night Landscape Oil Pastel and Watercolor

First Grade: April Lesson 6: Night Landscape Oil Pastel and Watercolor First Grade: April Lesson 6: Night Landscape Oil Pastel and Watercolor Objective: To create a resist painting showing a night landscape Technique: Drawing with oil pastels, adding a watercolor wash Set-up:

More information

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

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

More information

Perimeter, Area and Volume What Do Units Tell You About What Is Being Measured? Overview

Perimeter, Area and Volume What Do Units Tell You About What Is Being Measured? Overview Perimeter, Area and Volume What Do Units Tell You About What Is Being Measured? Overview Summary of Lessons: This set of lessons was designed to develop conceptual understanding of the unique attributes

More information

How does one make and support a reasonable conclusion regarding a problem? How does what I measure influence how I measure?

How does one make and support a reasonable conclusion regarding a problem? How does what I measure influence how I measure? Middletown Public Schools Mathematics Unit Planning Organizer Subject Mathematics Grade/Course Grade 7 Unit 3 Two and Three Dimensional Geometry Duration 23 instructional days (+4 days reteaching/enrichment)

More information

37 Basic Geometric Shapes and Figures

37 Basic Geometric Shapes and Figures 37 Basic Geometric Shapes and Figures In this section we discuss basic geometric shapes and figures such as points, lines, line segments, planes, angles, triangles, and quadrilaterals. The three pillars

More information

Kindergarten Math Curriculum Course Description and Philosophy Text Reference:

Kindergarten Math Curriculum Course Description and Philosophy Text Reference: Kindergarten Math Curriculum Course Description and Philosophy How do numbers and math affect our daily lives? What types of problems can be solved by understanding numbers and math concepts? Through inquiry,

More information

Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting

Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008 Test Preparation Timeline Recommendation: September - November Chapters 1-5 December

More information

1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH

1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH 1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH Calendar The following tables show the CCSS focus of The Meeting activities, which appear at the beginning of each numbered lesson and are taught daily,

More information

MATHEMATICS Y6 Geometry 6750 Use co-ordinates and extend to 4 quadrants Equipment MathSphere www.mathsphere.co.uk

MATHEMATICS Y6 Geometry 6750 Use co-ordinates and extend to 4 quadrants Equipment MathSphere www.mathsphere.co.uk MATHEMATICS Y6 Geometry 675 Use co-ordinates and etend to quadrants Paper, pencil, ruler Equipment MathSphere 675 Use co-ordinates and etend to quadrants. Page Concepts Children should be familiar with

More information

GEOMETRY CONCEPT MAP. Suggested Sequence:

GEOMETRY CONCEPT MAP. Suggested Sequence: CONCEPT MAP GEOMETRY August 2011 Suggested Sequence: 1. Tools of Geometry 2. Reasoning and Proof 3. Parallel and Perpendicular Lines 4. Congruent Triangles 5. Relationships Within Triangles 6. Polygons

More information

Activity Set 4. Trainer Guide

Activity Set 4. Trainer Guide Geometry and Measurement of Solid Figures Activity Set 4 Trainer Guide Mid_SGe_04_TG Copyright by the McGraw-Hill Companies McGraw-Hill Professional Development GEOMETRY AND MEASUREMENT OF SOLID FIGURES

More information

Geometry. Higher Mathematics Courses 69. Geometry

Geometry. Higher Mathematics Courses 69. Geometry The fundamental purpose of the course is to formalize and extend students geometric experiences from the middle grades. This course includes standards from the conceptual categories of and Statistics and

More information

Performance Based Learning and Assessment Task Triangles in Parallelograms I. ASSESSSMENT TASK OVERVIEW & PURPOSE: In this task, students will

Performance Based Learning and Assessment Task Triangles in Parallelograms I. ASSESSSMENT TASK OVERVIEW & PURPOSE: In this task, students will Performance Based Learning and Assessment Task Triangles in Parallelograms I. ASSESSSMENT TASK OVERVIEW & PURPOSE: In this task, students will discover and prove the relationship between the triangles

More information

Grade 5 Math Content 1

Grade 5 Math Content 1 Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.

More information

Classifying Lesson 1 Triangles

Classifying Lesson 1 Triangles Classifying Lesson 1 acute angle congruent scalene Classifying VOCABULARY right angle isosceles Venn diagram obtuse angle equilateral You classify many things around you. For example, you might choose

More information

Grade 1. M3: Ordering and Expressing Length Measurements as Numbers

Grade 1. M3: Ordering and Expressing Length Measurements as Numbers Grade 1 Key Areas of Focus for Grades K-2: Addition and subtraction-concepts, skills and problem solving Expected Fluency: Add and Subtract within 10 Module M1: Addition and Subtraction of Numbers to 10

More information

Quadrilaterals GETTING READY FOR INSTRUCTION

Quadrilaterals GETTING READY FOR INSTRUCTION Quadrilaterals / Mathematics Unit: 11 Lesson: 01 Duration: 7 days Lesson Synopsis: In this lesson students explore properties of quadrilaterals in a variety of ways including concrete modeling, patty paper

More information

Kristen Kachurek. Circumference, Perimeter, and Area Grades 7-10 5 Day lesson plan. Technology and Manipulatives used:

Kristen Kachurek. Circumference, Perimeter, and Area Grades 7-10 5 Day lesson plan. Technology and Manipulatives used: Kristen Kachurek Circumference, Perimeter, and Area Grades 7-10 5 Day lesson plan Technology and Manipulatives used: TI-83 Plus calculator Area Form application (for TI-83 Plus calculator) Login application

More information