Real World Performance Tasks
|
|
- Valerie Sharp
- 7 years ago
- Views:
Transcription
1 Real World Performance Tasks Real World Real Life, Real Data, Real- Time - These activities put students into real life scenarios where they use real- time, real data to solve problems. In the Seriously Cereal series, we use data from online sources and update our activities regularly. Note - some data has been rounded or simplified in order to adjust the math to the appropriate level. Engaging Relevant Students today often eat cereal for breakfast, making these activities very relevant to children s everyday lives. Authentic Tasks - Through these activity sheets students learn how the packaging design industry works and are prompted to form opinions and ideas about how they would solve real life problems. A glossary is included to help them with the unfamiliar terms used. Student Choice - Each set of activity sheets is available in multiple versions where students will do the same activities using data for different breakfast cereals (e.g., Frosted Flakes, Raisin Bran, Lucky Charms etc.) You or your students can pick their favorite breakfast cereal company. Modular Principal Activity - The activity sheets always start with repeated practice of a core skill matched to a common core standard, as set out in the Teacher Guide. This principal activity (or Level 1 as it is labeled to students) can be used in isolation. Step Up Activity - For the Level 2 questions, students are required to integrate a different skill or set of skills with increasing complexity. The additional skills used to answer these questions are set out in the Teacher Guide. Challenge - This is designed to require critical thinking skills and stretch students to reason with math and data to come to conclusions. They are matched up with one of the Common Core Standards for Mathematical Practice. These activities work well with students in pairs or small groups where they can discuss the math. Cross- Curricular Activity - Every activity sheet also includes a finale that you can use to extend the math lesson into another subject (usually ELA). These could be assigned in a second lesson or for homework. Customizable All of the activity sheets are provided in Word so that they can be differentiated to add remove or edit questions or even add space for students to show their work. Suggested customizations for each activity sheet are given in the Teacher Guide. Community We would love you and your students to tell us about your experience. Join the conversation on Twitter starting your tweet and using #GloriousFood
2 Teacher Guide Sound bite for Students: In the real world, we need to calculate volume and surface area in packaging and product design. Skills Practiced: Principal Activity (Level 1): - Draw and label rectangles and triangles given geometric conditions - Create geometric drawings using a scale Step Up Activity (Level 2): - Calculate the volume and surface area of 3- D shapes Common Core Math Standards Addressed: Principal Activity: Step Up Activity: 7.G.A.2 7.G.A.1 7.G.B.6 Geometric Shapes, Volume & Area Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. Solve real- world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms. Differentiation Tips: You can edit any of the activity sheets to: - change the numbers or tasks given (e.g. round to nearest whole number to eliminate decimals, only have students work with the rectangular prism, add in other shaped boxes) - add or remove hints for differentiation purposes (e.g. remove the hint in Q3, remove the two step questions for finding surface area in Level 2, provide formulas for additional assistance) - remove/add questions (such as adding in other 3- D shaped cereal boxes) - allow students to use calculators Due to school paper restriction, the spacing provided is only for answers. However, you could modify the spacing to add room for work if desired. Updates: At NextLesson we strive to engage students with data that is real and real- time. This lesson uses data as of September Please come back for the most recent updates.
3 Name: You are a Product Manager for Kellogg's. You are responsible for overseeing the production of a new line of cereal boxes. Your Challenge: How should you package and label your cereal? LEVEL 1 You want to create a scale drawing of your current box to sketch your new packaging designs. You start by dividing the actual measurements of the box by Fill in the table to show the dimensions of your scale drawing when dividing by 3. Round your answers to the nearest hundredth. Cereal Box Dimensions Length of Box Width of Box Height of Box Actual Dimensions 10 inches 3 inches 14 inches Dimensions for Scale Drawing 2. Based on the dimensions of the scale drawing, draw the dimensions of three rectangles to represent the views of the front, the side and the top of the box on a separate sheet of paper. Label the sides of each rectangle with the actual dimensions of the cereal box. For new special edition packaging, you want to try a triangular prism as a novelty cereal box that will be the same height as the regular box. You have two possible designs. Below are the sizes of the triangles that would form the ends of each box. Triangle 1 Type of Triangle Isosceles Details Two angles of 70 degrees along the bottom edge. The bottom edge will measure 4 inches. Another side will measure 5.85 inches. Triangle 2 Equilateral One side measures 4 inches. 1
4 Because the triangles are a little smaller, you use only a 2:1 scale to create a reduced scale drawing of your triangles. 3. Fill in the missing actual dimensions for each of the triangles, and then convert all of the dimensions using your scale. Round your answers to the nearest hundredth. Triangle 1 Actual Dimensions Triangle 1 Dimensions for Scale Drawing Triangle 2 Actual Dimensions Triangle 2 Dimensions for Scale Drawing Triangle Dimensions Side 1 Side 2 Side 3 Height of Box 4 inches 5.85 inches 14 inches 4 inches 14 inches 4. On another piece of paper, draw Triangles 1 and 2 according to the scaled dimensions you found above. Then, draw the other faces of each box. You may draw just one rectangle to represent identical faces. Make sure to label each triangle or rectangle so that they can be told apart, and label the angles of the triangle and the sides of all of the faces with the actual measurements. Hint: Angle measurements do not change in a scale drawing. 2
5 LEVEL 2 Now that you have your shapes to represent the faces of the box, you can start completing the design of your cereal box for construction. The boxes are made of cardboard. In order to make a box, you must know the amount of cardboard that is needed. Surface Area 5. a. Calculate the area of each unique face of the rectangular prism cereal box and label them on your drawings from Level 1. b. Determine the total surface area of the rectangular prism cereal box a. Calculate the area of each unique face of the Triangle 1 (isosceles) triangular prism cereal box and label them on your drawings from Level 1. Hint: Triangle 1 has a height of 5.5 inches. b. Determine the total surface area of the Triangle 1 triangular prism cereal box. a. Calculate the area of each unique face of the Triangle 2 (equilateral) triangular prism cereal box and label them on your drawings from Level 1. Round answers to the nearest tenth. Hint: Triangle 2 has a height of 3.5 inches. b. Determine the total surface area of the Triangle 2 triangular prism cereal box. 8. The cost of cardboard means that the lower the surface area, the cheaper the box will be to produce. Which design will cost the least for Kellogg's? Volume You also need to consider how much cereal each of the boxes will hold. 9. Calculate the volume of the rectangular prism. 10. Calculate the volume of the Triangle I (isosceles) triangular prism. 11. Calculate the volume of the Triangle 2 (equilateral) triangular prism. 12. Which cereal box will give customers the most cereal? 3
6 Challenge 1. Kellogg's costs $0.20 per ounce. A box with the dimensions in Question 1 holds 27 ounces of cereal. Use these measurements to calculate how much cereal each of the triangular boxes will hold and how much you should charge for each one. Round your answers to the nearest hundredth when necessary. 2. Design another special-edition cereal box that isn t a rectangular prism and show the dimensions (lengths and angles) in a scale drawing. Identify the surface area and volume of your box and assess how much cereal it could hold and how much you would charge customers. 3. In reality, not all cereal boxes will cost the same amount per ounce of cereal. What other factors might you consider when deciding how much to charge for your cereal? 4
7 Finale You could give students one of the following ideas or have them choose themselves. 1. Kellogg's is considering improving the look of its cereal box. They are in need of a new label. Construct a net of your new label design for the cereal box. Complete the design of the label. 2. The company wants to start shipping 48 boxes of cereal in a container. Find the minimum dimensions needed for a container that will hold 48 cereal boxes. Create a spreadsheet model to quickly calculate how many boxes of cereal you can ship when an order comes in from a distributor or store. 3. wants to create more environmentally-friendly products. Brainstorm and create a brochure explaining other materials that the Kellogg's company can use to hold its cereal. Make sure that the materials are environmentally-friendly. 4. How are cereal boxes designed? Investigate the process of creating cereal boxes: from drafting the design, to the materials used and the actual manufacturing of the cereal boxes. Formulate a revision plan that you believe would work best for creating the design that you have. 5. Kellogg's wants to make their cereals more healthy and nutritious. Review the ingredients for a Kellogg's cereal. Then list some ways that Kellogg's could make the cereal healthier. Be sure to compare the new and previous ingredients. 5
8 ANSWER KEY LEVEL 1 1. Cereal Box Dimensions Length of Box Width of Box Height of Box Actual Dimensions 10 inches 3 inches 14 inches Dimensions for Scale Drawing 3.33 inches 1 inch 4.67 inches 2. Due to school paper restriction, images have been shrunk. The measurements should be as follows: L = 10 in W= 3 in H = 14 in 3. Note: Scale dimensions for Sides 2 and 3 of Triangle 1 have been rounded. Triangle 1 Actual Dimensions Triangle 1 Dimensions for Scale Drawing Triangle 2 Actual Dimensions Triangle 2 Dimensions for Scale Drawing Triangle Dimensions Side 1 Side 2 Side 3 Height of Box 4 inches 5.85 inches 5.85 inches 14 inches 2 inches 2.93 inches 2.93 inches 7 inches 4 inches 4 inches 4 inches 14 inches 2 inches 2 inches 2 inches 7 inches
9 ANSWER KEY 4. Due to school paper restriction, images have been shrunk. For the side views of the prism, the missing measurements are as follows: H = 14 in
10 ANSWER KEY LEVEL 2 5. Students should sketch and label their drawings from Level 1 with the following: a. Top: 30in 2 Front: 140in 2 Side: 42in 2 b. Total Surface Area: 424 in 2 6. Students should sketch and label their drawings from Level 1 with the following: a. Triangle 1: 11 in 2 Side 1: 56 in 2 Sides 2 and 3: 81.9 in 2 b. Total Surface Area: in 2 7. Students should sketch and label their drawings from Level 1 with the following: a. Triangle 2 : 7 in 2 Sides 1, 2, and 3: 56 in 2 b. Total Surface Area: 182 in 2 8. Triangular Prism 2/Equilateral Triangle Prism in in in Rectangular Prism
11 ANSWER KEY Challenge 1. The Triangle 1 (isosceles) prism box can hold 9.9 ounces and should cost $1.98. The Triangle 2 (equilateral) prism box can hold 6.3 ounces and should cost $$ Answers will vary. Give credit for answers that design a box that isn t a rectangular prism, include a scale drawing with labeled angles and side lengths, correctly identify surface area and volume, and calculate how much cereal it could hold and how much customers should be charged. 3. Possible answers include: -the cost of materials and production of the box -the cost of ingredients for the cereal -the demand for that particular cereal/brand
12 Job Background Product Managers come within the categpry of Advertising, Promotions and Marketing Managers according to the Bureau of Labor Statistics. Quick Facts: Advertising, Promotions, and Marketing Managers 2012 Median Pay Entry- Level Education Work Experience in a Related Occupation On- the- job Training Number of Jobs, 2012 Job Outlook, Employment Change, $115,750 per year $55.65 per hour Bachelor s degree See How to Become One None 216,000 12% (As fast as average) 25,400 What Advertising, Promotions, and Marketing Managers Do Advertising, promotions, and marketing managers plan programs to generate interest in a product or service. They work with art directors, sales agents, and financial staff members. Work Environment About 24 percent of advertising and promotions managers worked for advertising agencies in About 16 percent of marketing managers worked in the management of companies and enterprises industry. How to Become an Advertising, Promotions, or Marketing Manager A bachelor s degree is required for most advertising, promotions, and marketing management positions. These managers typically have work experience in advertising, marketing, promotions, or sales. Pay In May 2012, the median annual wage for advertising and promotions managers was $88,590. The median annual wage for marketing managers was $119,480 in May Job Outlook Employment of advertising, promotions, and marketing managers is projected to grow 12 percent from 2012 to 2022, about as fast as the average for all occupations. Advertising, promotions, and marketing will continue to be essential for organizations as they seek to maintain and expand their share of the market.
VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region.
Math 6 NOTES 7.5 Name VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region. **The formula for the volume of a rectangular prism is:** l = length w = width h = height Study Tip:
More informationPerimeter, 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 informationUnit 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 informationSurface Area Quick Review: CH 5
I hope you had an exceptional Christmas Break.. Now it's time to learn some more math!! :) Surface Area Quick Review: CH 5 Find the surface area of each of these shapes: 8 cm 12 cm 4cm 11 cm 7 cm Find
More informationGeometry Solve real life and mathematical problems involving angle measure, area, surface area and volume.
Performance Assessment Task Pizza Crusts Grade 7 This task challenges a student to calculate area and perimeters of squares and rectangles and find circumference and area of a circle. Students must find
More informationLateral and Surface Area of Right Prisms
CHAPTER A Lateral and Surface Area of Right Prisms c GOAL Calculate lateral area and surface area of right prisms. You will need a ruler a calculator Learn about the Math A prism is a polyhedron (solid
More informationLesson 4: Surface Area
Lesson 4: Surface Area Selected Content Standards Benchmark Assessed M.3 Estimating, computing, and applying physical measurement using suitable units (e.g., calculate perimeter and area of plane figures,
More informationE 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 informationCharacteristics of the Four Main Geometrical Figures
Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.
More informationArea of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in
More informationGrade 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 informationArea of Parallelograms (pages 546 549)
A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular
More informationOverview. 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 informationPerimeter, Area, and Volume
Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all
More informationOpen-Ended Problem-Solving Projections
MATHEMATICS Open-Ended Problem-Solving Projections Organized by TEKS Categories TEKSING TOWARD STAAR 2014 GRADE 7 PROJECTION MASTERS for PROBLEM-SOLVING OVERVIEW The Projection Masters for Problem-Solving
More informationArea of Parallelograms, Triangles, and Trapezoids (pages 314 318)
Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base
More information1. Kyle stacks 30 sheets of paper as shown to the right. Each sheet weighs about 5 g. How can you find the weight of the whole stack?
Prisms and Cylinders Answer Key Vocabulary: cylinder, height (of a cylinder or prism), prism, volume Prior Knowledge Questions (Do these BEFORE using the Gizmo.) [Note: The purpose of these questions is
More informationSolids. Objective A: Volume of a Solids
Solids Math00 Objective A: Volume of a Solids Geometric solids are figures in space. Five common geometric solids are the rectangular solid, the sphere, the cylinder, the cone and the pyramid. A rectangular
More informationLesson 4: Surface Area
Lesson 4: Surface Area Selected Content Standards Benchmarks Addressed: M-1-M Applying the concepts of length, area, surface area, volume, capacity, weight, mass, money, time, temperature, and rate to
More informationConvert between units of area and determine the scale factor of two similar figures.
CHAPTER 5 Units of Area c GOAL Convert between units of area and determine the scale factor of two. You will need a ruler centimetre grid paper a protractor a calculator Learn about the Math The area of
More informationVolume 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 informationAlgebra 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 informationWhat You ll Learn. Why It s Important
These students are setting up a tent. How do the students know how to set up the tent? How is the shape of the tent created? How could students find the amount of material needed to make the tent? Why
More informationPIZZA! PIZZA! TEACHER S GUIDE and ANSWER KEY
PIZZA! PIZZA! TEACHER S GUIDE and ANSWER KEY The Student Handout is page 11. Give this page to students as a separate sheet. Area of Circles and Squares Circumference and Perimeters Volume of Cylinders
More informationGeometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
More informationG3-33 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 informationGeometry Notes VOLUME AND SURFACE AREA
Volume and Surface Area Page 1 of 19 VOLUME AND SURFACE AREA Objectives: After completing this section, you should be able to do the following: Calculate the volume of given geometric figures. Calculate
More informationClassifying 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 informationCourse 2 Summer Packet For students entering 8th grade in the fall
Course 2 Summer Packet For students entering 8th grade in the fall The summer packet is comprised of important topics upcoming eighth graders should know upon entering math in the fall. Please use your
More informationHow 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 informationKristen 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 informationProblem 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 informationArea Formulas TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System
Math Objectives Students will be able to describe how the area of a parallelogram relates to the area of a rectangle with the same base and height. Students will be able to describe how the area of a triangle
More informationArea of a triangle: The area of a triangle can be found with the following formula: You can see why this works with the following diagrams:
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 You can see why this works with the following diagrams: h h b b Solve: Find the area of
More informationGAP CLOSING. Volume and Surface Area. Intermediate / Senior Student Book
GAP CLOSING Volume and Surface Area Intermediate / Senior Student Book Volume and Surface Area Diagnostic...3 Volumes of Prisms...6 Volumes of Cylinders...13 Surface Areas of Prisms and Cylinders...18
More informationTEKS 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 informationN Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
Performance Assessment Task Swimming Pool Grade 9 The task challenges a student to demonstrate understanding of the concept of quantities. A student must understand the attributes of trapezoids, how to
More informationSTATE GOAL 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable
C 1 Measurement H OW MUCH SPACE DO YOU N EED? STATE GOAL 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy Statement of Purpose:
More informationApplications of the Pythagorean Theorem
9.5 Applications of the Pythagorean Theorem 9.5 OBJECTIVE 1. Apply the Pythagorean theorem in solving problems Perhaps the most famous theorem in all of mathematics is the Pythagorean theorem. The theorem
More informationWarning! 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 informationFinding Volume of Rectangular Prisms
MA.FL.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MA.7.G.2.2 Use formulas to find surface areas and volume of three-dimensional composite shapes.
More informationDear 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 informationWarm-Up 1. 1. What is the least common multiple of 6, 8 and 10?
Warm-Up 1 1. What is the least common multiple of 6, 8 and 10? 2. A 16-page booklet is made from a stack of four sheets of paper that is folded in half and then joined along the common fold. The 16 pages
More information8 th Grade Task 2 Rugs
8 th Grade Task 2 Rugs Student Task Core Idea 4 Geometry and Measurement Find perimeters of shapes. Use Pythagorean theorem to find side lengths. Apply appropriate techniques, tools and formulas to determine
More informationSGS4.3 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 informationUnit 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 informationScope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced
More informationLesson 24: Surface Area
Student Outcomes Students determine the surface area of three-dimensional figures, those that are composite figures and those that have missing sections. Lesson Notes This lesson is a continuation of Lesson
More informationMath. Rounding Decimals. Answers. 1) Round to the nearest tenth. 8.54 8.5. 2) Round to the nearest whole number. 99.59 100
1) Round to the nearest tenth. 8.54 8.5 2) Round to the nearest whole number. 99.59 100 3) Round to the nearest tenth. 310.286 310.3 4) Round to the nearest whole number. 6.4 6 5) Round to the nearest
More informationGrade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra
Grade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra Activity Lesson 3-1 What s My Rule? page 159) Everyday Mathematics Goal for Mathematical Practice GMP 2.2 Explain the meanings
More informationGeometry 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 informationActivity 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 informationWORK SCHEDULE: MATHEMATICS 2007
, K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check
More informationProblem 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 informationShow that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.
Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional
More informationMath - 5th Grade. two digit by one digit multiplication fact families subtraction with regrouping
Number and Operations Understand division of whole numbers N.MR.05.01 N.MR.05.02 N.MR.05.03 Understand the meaning of division of whole numbers with and without remainders; relate division to and to repeated
More informationMinimize the Surface Area of a Square-Based Prism
9.3 Minimize the Surface Area of a Square-Based Prism The boxes used in packaging come in many shapes and sizes. A package must be suitable for the product, visually appealing, and cost efficient. Many
More informationISAT Mathematics Performance Definitions Grade 4
ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers
More informationEDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 2. Chapter 5. Shape and space
Shape and space 5 EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES Maths Level 2 Chapter 5 Shape and space SECTION H 1 Perimeter 2 Area 3 Volume 4 2-D Representations of 3-D Objects 5 Remember what you
More informationShape 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 informationLesson 11: Volume with Fractional Edge Lengths and Unit Cubes
Lesson : Volume with Fractional Edge Lengths and Unit Cubes Student Outcomes Students extend their understanding of the volume of a right rectangular prism with integer side lengths to right rectangular
More informationnumerical place value additional topics rounding off numbers power of numbers negative numbers addition with materials fundamentals
Math Scope & Sequence fundamentals number sense and numeration of the decimal system Count to 10 by units Associate number to numeral (1-10) KN 1 KN 1 KN 2 KN 2 Identify odd and even numbers/numerals and
More informationPizza! Pizza! Assessment
Pizza! Pizza! Assessment 1. A local pizza restaurant sends pizzas to the high school twelve to a carton. If the pizzas are one inch thick, what is the volume of the cylindrical shipping carton for the
More informationNEW MEXICO Grade 6 MATHEMATICS STANDARDS
PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical
More information12-1 Representations of Three-Dimensional Figures
Connect the dots on the isometric dot paper to represent the edges of the solid. Shade the tops of 12-1 Representations of Three-Dimensional Figures Use isometric dot paper to sketch each prism. 1. triangular
More informationVocabulary Cards and Word Walls Revised: June 29, 2011
Vocabulary Cards and Word Walls Revised: June 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education,
More informationCAMI Education linked to CAPS: Mathematics
- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Santa Monica College COMPASS Geometry Sample Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the area of the shaded region. 1) 5 yd 6 yd
More informationCBA Volume: Student Sheet 1
CBA Volume: Student Sheet 1 For each problem, decide which cube building has more room inside, or if they have the same amount of room. Then find two ways to use cubes to check your answers, one way that
More informationPrentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)
PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and
More informationSimilar Triangles Grade Seven
Ohio Standards Connection Geometry and Spatial Sense Benchmark E Use proportions to express relationships among corresponding parts of similar figures. Indicator 1 Use proportional reasoning to describe
More information0.75 75% ! 3 40% 0.65 65% Percent Cards. This problem gives you the chance to: relate fractions, decimals and percents
Percent Cards This problem gives you the chance to: relate fractions, decimals and percents Mrs. Lopez makes sets of cards for her math class. All the cards in a set have the same value. Set A 3 4 0.75
More information12 Surface Area and Volume
12 Surface Area and Volume 12.1 Three-Dimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids
More informationFinding Areas of Shapes
Baking Math Learning Centre Finding Areas of Shapes Bakers often need to know the area of a shape in order to plan their work. A few formulas are required to find area. First, some vocabulary: Diameter
More informationYear 9 mathematics test
Ma KEY STAGE 3 Year 9 mathematics test Tier 6 8 Paper 1 Calculator not allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start.
More informationMD5-26 Stacking Blocks Pages 115 116
MD5-26 Stacking Blocks Pages 115 116 STANDARDS 5.MD.C.4 Goals Students will find the number of cubes in a rectangular stack and develop the formula length width height for the number of cubes in a stack.
More informationTask: Representing the National Debt 7 th grade
Tennessee Department of Education Task: Representing the National Debt 7 th grade Rachel s economics class has been studying the national debt. The day her class discussed it, the national debt was $16,743,576,637,802.93.
More informationArea of Circles. 2. Use a ruler to measure the diameter and the radius to the nearest half centimeter and record in the blanks above.
Name: Area of Circles Label: Length: Label: Length: A Part 1 1. Label the diameter and radius of Circle A. 2. Use a ruler to measure the diameter and the radius to the nearest half centimeter and recd
More informationCharlesworth School Year Group Maths Targets
Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve
More informationCOMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS
COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Operations and Algebraic Thinking Represent and solve problems involving
More informationLine 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 informationEstimating 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 informationa. Look under the menu item Introduction to see how the standards are organized by Standards, Clusters and Domains.
Chapter One Section 1.1 1. Go to the Common Core State Standards website (http://www.corestandards.org/math). This is the main site for further questions about the Common Core Standards for Mathematics.
More informationPERIMETER 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 informationArea is a measure of how much space is occupied by a figure. 1cm 1cm
Area Area is a measure of how much space is occupied by a figure. Area is measured in square units. For example, one square centimeter (cm ) is 1cm wide and 1cm tall. 1cm 1cm A figure s area is the number
More informationNumeracy Targets. I can count at least 20 objects
Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects
More informationDemystifying Surface Area and Volume
Demystifying Surface and Volume CYLINDER 1. Use the net of the cylinder provided. Measure in centimeters and record the radius of the circle, and the length and width of the rectangle. radius = length
More informationDiscovering 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 informationCommon Core Unit Summary Grades 6 to 8
Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations
More informationSTUDY PLUS MATHS ON THE FARM LESSON 1
STUDY PLUS MATHS ON THE FARM LESSON 1 Key word Lesson Starter Main Activity Plenary Resources Convert between units of area Acre hectare square metre square feet Setting the scene photo-story of Arrallas
More informationMathematics Common Core Sample Questions
New York State Testing Program Mathematics Common Core Sample Questions Grade6 The materials contained herein are intended for use by New York State teachers. Permission is hereby granted to teachers and
More informationUNIT 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 informationMathematics as Reasoning Students will use reasoning skills to determine the best method for maximizing area.
Title: A Pen for Penny Brief Overview: This unit is a reinforcement of the concepts of area and perimeter of rectangles. Methods for maximizing area while perimeter remains the same are also included.
More informationThe teacher gives the student a ruler, shows her the shape below and asks the student to calculate the shape s area.
Complex area Georgia is able to calculate the area of a complex shape by mentally separating the shape into familiar shapes. She is able to use her knowledge of the formula for the area of a rectangle
More informationGrade 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 informationAngle - 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 informationIn mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.
MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target
More informationCalculating Area, Perimeter and Volume
Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly
More informationMATHS LEVEL DESCRIPTORS
MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and
More informationThird 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