Surface Area. Assessment Management


 Emerald Johnston
 1 years ago
 Views:
Transcription
1 Surface Area Objective To introduce finding the surface area of prisms, cylinders, and pyramids. epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards Curriculum Focal Points Interactive Teacher s Lesson Guide Teaching the Lesson Ongoing Learning & Practice Differentiation Options Key Concepts and Skills Measure the dimensions of a cylinder in inches and centimeters. [Measurement and Reference Frames Goal ] Use rectangle and triangle area formulas to find the surface area of prisms and cylinders. Apply a formula to calculate the area of a circle. [Measurement and Reference Frames Goal 2] Identify and use the properties of prisms, pyramids, and cylinders in calculations. [Geometry Goal 2] Key Activities Students find the surface areas of prisms, cylinders, and pyramids by calculating the area of each surface of a solid and then finding the sum. Ongoing Assessment: Informing Instruction See page 892. Ongoing Assessment: Recognizing Student Achievement Use journal pages 389 and 390. [Measurement and Reference Frames Goals and 2] Key Vocabulary surface area Materials Math Journal 2, pp. 389 and 390 Study Link 6 slate calculator cardboard box per workstation: 2 cans, tape measure, ruler, triangular prism, square pyramid Plotting and Analyzing Insect Data Math Journal 2, pp. 390A and 390B Students plot insect lengths in fractional units on a line plot. They use the line plot to analyze the data. Math Boxes Math Journal 2, p. 39 Students practice and maintain skills through Math Box problems. Study Link Math Masters, p. 34 Students practice and maintain skills through Study Link activities. ENRICHMENT Finding the Smallest Surface Area for a Given Volume Math Masters, p. 342 per partnership: 2 cubes Students find the rectangular prism with the smallest surface area for a given volume. ETRA PRACTICE Finding Area, Surface Area, and Volume Math Masters, p. 343 Student Reference Book, pp. 96 and 97 Students practice calculating area, surface area, and volume. Advance Preparation For Part, organize workstations for groups of 4 students (2 partnerships each). Each group will need 2 cans (see Lesson 3) and each of the triangular prism and square pyramid models (Math Masters, pages 324 and 326) constructed in Lesson . Place a cardboard box with the top taped shut near the Math Message. Teacher s Reference Manual, Grades 4 6 pp Unit Volume
2 Getting Started Mental Math and Reflexes Have students write numbers from dictation and mark the indicated digits. Suggestions:,024,039 Circle the digit in the thousands place, and put an through the digit in the hundredthousands place. 28,794,02 Circle the digit in the tenthousands place, and put an through the digit in the hundreds place Circle the digit in the thousandths place, and put an through the digit in the hundredths place. 0, Circle the digit in the thousandths place, and put an through the digit in the thousands place Circle the digit in the tens place, and put an through the digit in the hundredths place. 94,679,424 Circle each digit in the millions period, and put an through each digit in the ones period. Math Message If you were to wrap this box as a gift, how would you calculate the least amount of wrapping paper needed? Study Link 6 FollowUp Briefly review the answers. Ask: How would you explain the difference between capacity and volume? Volume is the measure of how much space a solid object occupies. Capacity is the measure of how much a container can hold. Teaching the Lesson Math Message FollowUp (Math Journal 2, p. 389) WHOLECLASS Ask volunteers to use geometry vocabulary to describe the box. The box is a rectangular prism that has six rectangular faces. Then have students explain their solution strategies. If wrapping paper covers each face of the box exactly, the least amount of wrapping paper needed is the sum of the area of each of the six faces. Tell students that the sum of the areas of the faces or the curved surface of a geometric solid is called surface area. If wrapping paper covers each face of the box exactly, the area of paper required is the surface area of the box. If the area of the available wrapping paper is less than the surface area of the box, the paper will not completely cover the box. Ask a pair of students to measure the length, width, and height of the box to the nearest inch. Have students record these dimensions on the figure in Problem on journal page 389, find and record the areas of the six sides of the box, and add these to find the total surface area. Remind students that opposite sides (top and bottom, left and right, front and back) of the box have the same area. This means that students need to calculate only three different areas. Finding the Surface Area of a Can (Math Journal 2, p. 389) PARTNER PROBLEM SOLVING Algebraic Thinking Distribute one can to each partnership. Ask students to imagine that the top lids of their cans have not been removed. Ask: How would you find the surface area of your can? 7 Surface Area The surface area of a box is the sum of the areas of all 6 sides (faces) of the box.. Your class will find the dimensions of a cardboard box. a. Fill in the dimensions on the figure below. b. Find the area of each side of the box. Then find the total surface area. Area of front 3 in Area of back in 2 Area of right side in 2 Area of left side in 2 Area of top in 2 Area of bottom in Total surface area in 2 2. Think: How would you find the area of the metal used to manufacture a can? a. How would you find the area of the top or bottom of the can? b. How would you find the area of the curved surface between the top and bottom of the can? c. Choose a can. Find the total area of the metal used to manufacture the can. Remember to include a unit for each area. Area of top Area of bottom Area of curved side surface Total surface area Sample answers: First measure the diameter of the can, and divide by 2 to find the radius. Then calculate the area (A π º r 2 ). Calculate the circumference of the base (c π º d ), and multiply that by the height of the can Math Journal 2, p in. front 7 top right side Sample answers for a can with a diameter and 3 cm height: in. in. Lesson 89
3 3. Use your model of a triangular prism. a. Find the dimensions of the triangular and rectangular faces. Then find the areas of these faces. Measure lengths to the nearest _ 4 inch. base = 2 in. length = 4 _ 2 in. height = 3_ 4 in. width = 2 in. Area = 3_ 4 in 2 Area = 9 in 2 b. Add the areas of the faces to find the total surface area. Area of 2 triangular bases = 3 _ 2 in 2 Analyzing Fraction Data Kerry measured lifesize photos of common insects to the nearest _ 8 of an inch. His measurements are given in the table below. Insect Length Length (nearest _ 8 in.) Insect (nearest _ 8 in.) American Cockroach 3_ 8 Heelfly _ 3 8 Ant _ 4 Honeybee 3_ 4 Aphid _ 8 House Centipede 3_ 8 Bumblebee _ 2 Housefly _ 4 Cabbage Butterfly _ 4 June Bug Cutworm _ 2 Ladybug _ 8 Deerfly 3_ 8 Silverfish 3_ 8 Field Cricket 7_ 8. Make a line plot of the insect lengths on the number line below. Be sure to label the axes and provide a title for the graph. Number of Insects Surface Area continued Area of 3 rectangular sides = in 2 Total surface area = 30 _ 2 in 2 4. Use your model of a square pyramid. a. Find the dimensions of the square and triangular faces. Then find the areas of these faces. Measure lengths to the nearest tenth of a centimeter. length = 6.3 cm base = 6.3 cm width = 6.3 cm height =. Area = cm 2 Area = 7.32cm 2 b. Add the areas of the faces to find the total surface area. Area of square base = cm 2 Area of 4 triangular sides = cm 2 Total surface area = cm _EMCS_S_MJ2_U_76434.indd 390 Formula for the Area of a Triangle A = _ 2 º b º h where A is the area of the triangle, b is the length of its base, and h is its height Math Journal 2, p. 390 Insect Lengths Length (inches) /4/ 7:04 PM Remind students that in this problem they are finding the area of the surface of their can, not the volume. Give students plenty of time to explore solution strategies among themselves, without your help. Add the areas of the top, bottom, and curved surface to find the total surface area. Ask a volunteer to explain how to find the area of the circular top and bottom. Use the formula A = π r 2. Ask another volunteer to explain how to find the area of the curved surface between the top and bottom of the can. Calculate the circumference of the base using the formula c = π d, and then multiply the circumference by the height of the can. If students are unable to suggest an approach for finding this area, remind or show them that the label on a food can is shaped like a rectangle if it is cut off and unrolled. Draw a rectangle on the board: If you cut a can label in a straight line perpendicular to the bottom, it will have a rectangular shape when it is unrolled and flattened. How would you measure the can to find the length of the base of the rectangle? Guide students to recognize the following two possibilities:. Measure the circumference of the base of the can with a tape measure. 2. Measure the diameter of the base of the can. Calculate the circumference of the base, using the formula c = π d. How would you find the other dimension (the width) of the rectangle? Measure the height of the can. Have partners measure the dimensions of their cans and complete Part 2 on journal page 389. Circulate and assist. Ongoing Assessment: Informing Instruction Watch for students who seem to have difficulty with visualizing the cutting and unrolling of the can label. Have them use the following procedure to cut a sheet of paper to use as a label for the side of the can:. Mark the top and bottom rims of the can at the can s seam. 2. Lay the can on the sheet of paper with the marks touching the paper. Mark these points on the paper. 3. Roll the can one complete revolution, until the marks touch the paper again. Mark these points on the paper. 4. Connect the four marks on the paper to form a rectangle. Cut out the rectangle. Math Journal 2, p. 390A _EMCS_S_MJ2_U_76434.indd 390A 3/3/ 9:23 AM 892 Unit Volume
4 Finding the Surface Area of a Prism and a Pyramid (Math Journal 2, p. 390) PARTNER Algebraic Thinking Have partners measure each solid constructed in Lesson  from Math Masters, pages 324 and 326 and record the dimensions on journal page 390. Then have them calculate and record the face areas and total surface area for each solid. Circulate and assist. Ongoing Assessment: Recognizing Student Achievement Journal pages 389 and 390 Use journal pages 389 and 390 to assess students ability to measure to the nearest _ 4 inch and 0. cm and to find the area of circles, triangles, and rectangles. Students are making adequate progress if they correctly answer Problems 2 and 3 and use rectangle, circle, and triangle area formulas to find the surface area of prisms and cylinders. [Measurement and Reference Frames Goals and 2] Analyzing Fraction Data continued Use the data and the line plot you made on journal page 390A to solve these problems. Give all answers in simplest form. 2. What is the maximum length of the insects measured? 3. What is the minimum length? 4. What is the range of insect lengths? _ 8 in.. What is (are) the mode length(s) of the insects? 6. What is the median length of the insects? 7. How much longer is the American cockroach that Kerry measured than the field cricket? 3_ 8 in. 3_ 8 in. 3_ 4 in. _ 2 in. _ 2 in. 8. Suppose ladybugs were placed end to end. How long would they be? 3 _ 8 in. 9. How many times as long is the bumblebee than the housefly? 6 times as long 0. a. Suppose all of the insects less than 3_ 4 inch long were placed endtoend. How long would they be? 2 3_ 8 in. b. Suppose all of the insects greater than _ 8 inch long were placed endtoend. How long would they be? 9 _ 8 in. c. What is the total length of all insects placed end to end? 2 in.. What is the mean length of the insects that were measured? Math Journal 2, p. 390B 4_ in _EMCS_S_MJ2_G_U_76434.indd 390B 4/7/ 3:8 PM 2 Ongoing Learning & Practice Plotting and Analyzing Insect Data (Math Journal 2, pp. 390A and 390B) INDEPENDENT Students plot insect lengths in fractional units on a line plot. They use the line plot to analyze data and solve problems involving addition, subtraction, multiplication, and division with fractions. As needed, review how to make a line plot based on fractional units and how to perform operations with fractions. Math Boxes Math Boxes (Math Journal 2, p. 39) INDEPENDENT Mixed Practice Math Boxes in this lesson are paired with Math Boxes in Lesson . The skill in Problem previews Unit 2 content.. Write each number in simplest form. a. b. 80_ = 6 3_ 6 8 _ = 6 8 _ 2 c. 8 24_ 48 = 9_ d. 38_ 4 = Find the volume of the rectangular prism. Volume of rectangular prism V = B * h 2. How are cylinders and cones alike? Both have a circular base and one curved surface Find the area and perimeter of the rectangle. 3 2 cm Study Link (Math Masters, p. 34) INDEPENDENT Home Connection Students practice using formulas to calculate volume and surface area. If students use calculators, remind them to enter 3.4 for π if necessary. V = 2 cm 3. Solve the panbalance problems below. a. b. 3 cm cm Area = Perimeter = (unit) 2 cm (unit) One weighs as much as 3 s. One weighs as much as 6 s. One weighs as much as One weighs as much as paper clips. paper clips Math Journal 2, p _EMCS_S_MJ2_U_76434.indd 39 3/4/ 7:04 PM Lesson 893
5 Name STUDY LINK Volume and Surface Area Area of rectangle: A = l º w Volume of rectangular prism: V = l º w º h. Kesia wants to give her best friend a box of chocolates. Figure out the least number of square inches of wrapping paper Kesia needs to wrap the box. (To simplify the problem, assume that she will cover the box completely with no overlaps.) Amount of paper needed: 88 in 2 Explain how you found the answer. Sample answer: I found the area of each of the 6 sides and then added them together. Yes Explain. A 4 in. 4 in. 3 _ 2 in. box has a volume of 6 in 3 and a surface area of 88 in Could Kesia use the same amount of wrapping paper to cover a box with a larger volume than the box in Problem? Find the volume and the surface area of the two figures in Problems 3 and Volume: 4. Volume: Surface area: 3. 2 Study Link Master 0 cm Circumference of circle: c = π º d Area of circle: A = π º r 2 Volume of cylinder: V = π º r 2 º h 26 in 3 Surface area: 26 in 2 2 in. 6 in. 6 in. cube in. 3 Differentiation Options ENRICHMENT PARTNER Finding the Smallest Surface Area for a Given Volume (Math Masters, p. 342) 30 Min Algebraic Thinking To apply students understanding of volume and surface area, have them use given volumes to find the dimensions of rectangular prisms. Partners use the patterns in the dimensions to identify the dimensions of a prism that would have the smallest surface area. When students have finished, discuss any difficulties or curiosities they encountered _EMCS_B_MM_G_U_76973.indd 34 Math Masters, p. 34 3/9/ 8:44 AM ETRA PRACTICE INDEPENDENT Finding Area, Surface Area, and Volume (Math Masters, p. 343; Student Reference Book, pp. 96 and 97) Min Students practice calculating area, surface area, and volume of various geometric figures. Name Teaching Master A SurfaceArea Investigation Name Teaching Master Area, Surface Area, and Volume In each problem below, the volume of a rectangular prism is given. Your task is to find the dimensions of the rectangular prism (with the given volume) that has the smallest surface area. To help you, use centimeter cubes to build as many different prisms as possible having the given volume. Record the dimensions and surface area of each prism you build in the table. Do not record different prisms with the same surface area. Put a star next to the prism with the smallest surface area.. 2. Dimensions (cm) Surface Area (cm 2 ) Volume (cm 3 ) Dimensions (cm) Surface Area (cm 2 ) Volume (cm 3 ) If the volume of a prism is 36 cm 3, predict the dimensions that will result in the smallest surface area. Explain. 3 º 3 º 4; I used the smallest 3 dimensions that would result in the given volume. 4. Describe a general rule for finding the surface area of a rectangular prism in words or with a number sentence. Find the area of each face. Then find the sum of these areas. Math Masters, p. 342 Area of rectangle: A = l w Volume of rectangular prism: V = B h or V = l w h. Record the dimensions and find the area. Length = Width = _ 2 ft 2 _ 8 ft Area = 4 7_ 6 ft2 How many square tiles, each ft long on a side, would be needed to fill the rectangle? 4 7_ 6 Circumference of circle: c = π d Area of circle: A = π r 2 Volume of cylinder: V = π r 2 h Record the dimensions, and find the volume and surface area for each figure below. Round results to the nearest hundredth. 3. Rectangular prism 2 ft Volume = 280 cm ft Surface area = 262 cm 2 Math Masters, p Record the dimensions and find the volume. Area of base = 20 cm 2 2 cm Number of centimeter unit cubes needed to fill the box: 40 Volume = 40 cm 3 4. Cylinder Diameter = Height = 9 ft 7 ft 7 ft 9 ft Volume = ft 3 2 cm Surface area = ft _EMCS_B_MM_G_U_76973.indd 342 3/9/ 8:44 AM _EMCS_B_MM_G_U_76973.indd 343 4/7/ 9:43 AM 894 Unit Volume
6 Name Area, Surface Area, and Volume Area of rectangle: A = l w Volume of rectangular prism: V = B h or V = l w h Circumference of circle: c = π d Area of circle: A = π r 2 Volume of cylinder: V = π r 2 h. Record the dimensions and find the area. 2. Record the dimensions and find the volume. 2 8 ft 2 cm 2 ft Length = Width = Area = How many square tiles, each ft long on a side, would be needed to fill the rectangle? Area of base = Number of centimeter unit cubes needed to fill the box: Volume = Copyright Wright Group/McGrawHill Record the dimensions, and find the volume and surface area for each figure below. Round results to the nearest hundredth. 3. Rectangular prism 4. Cylinder Diameter = Height = 9 ft 7 ft Volume = Volume = Surface area = Surface area = 343
Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms.
Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts
More informationVolume 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 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 informationAssessment Management
Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationSubtracting Mixed Numbers
Subtracting Mixed Numbers Objective To develop subtraction concepts related to mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters
More informationFamily Letters. Assessment Management. Playing Fraction Of
Formula for the Area of a Parallelogram Objectives To review the properties of parallelograms; and to guide the development and use of a formula for the area of a parallelogram. www.everydaymathonline.com
More informationObjective To introduce a formula to calculate the area. Family Letters. Assessment Management
Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationPackaging Engineering
Project Packaging Engineering Objectives To use nets to represent and calculate the surface area of 3dimensional shapes; and to apply concepts of area, surface area, and volume to design a package for
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 informationAssessment Management
Area Objectives To provide experiences with the concept of area, distinguishing between area and perimeter, and finding areas of rectangular figures by partitioning and counting squares. www.everydaymathonline.com
More informationThe Distributive Property
The Distributive Property Objectives To recognize the general patterns used to write the distributive property; and to mentally compute products using distributive strategies. www.everydaymathonline.com
More informationMultiplication Arrays
Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations
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 informationIn Problems #1  #4, find the surface area and volume of each prism.
Geometry Unit Seven: Surface Area & Volume, Practice In Problems #1  #4, find the surface area and volume of each prism. 1. CUBE. RECTANGULAR PRISM 9 cm 5 mm 11 mm mm 9 cm 9 cm. TRIANGULAR PRISM 4. TRIANGULAR
More informationConstructing Geometric Solids
Constructing Geometric Solids www.everydaymathonline.com Objectives To provide practice identifying geometric solids given their properties; and to guide the construction of polyhedrons. epresentations
More informationComparing Fractions Objective To provide practice ordering sets of fractions.
Comparing Fractions Objective To provide practice ordering sets of fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management
More informationGrade 9 Mathematics Unit 3: Shape and Space Sub Unit #1: Surface Area. Determine the area of various shapes Circumference
1 P a g e Grade 9 Mathematics Unit 3: Shape and Space Sub Unit #1: Surface Area Lesson Topic I Can 1 Area, Perimeter, and Determine the area of various shapes Circumference Determine the perimeter of various
More informationSimplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.
Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More informationMultiplication of Mixed Numbers
Multiplication of Mixed Numbers Objective To introduce multiplication with mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationMultiplication Facts Practice
Multiplication Facts Practice Objectives To introduce the 5facts test; and to provide practice with multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts
More informationObjective To introduce the concept of square roots and the use of the squareroot key on a calculator. Assessment Management
Unsquaring Numbers Objective To introduce the concept of square roots and the use of the squareroot key on a calculator. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts
More informationA CoinToss Experiment
A CoinToss Experiment Objective To guide children as they develop intuition equally likely events. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationObjective 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 informationFactor Trees. Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers.
Factor Trees Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice
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 informationLine Plots. Objective To provide experience creating and interpreting line plots with fractional units. Assessment Management
Line Plots Objective To provide experience creating and interpreting line plots with fractional units. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationThe Mean and the Median
The Mean and the Median Objectives To introduce the mean of a set of data; and to review the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
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 informationExploring Length, Area, and Attributes
Explorations Exploring Length, Area, and Attributes Objectives To guide children as they measure lengths and distances to the nearest inch and centimeter, explore area by tiling surfaces, and sort attribute
More informationReview: 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 informationFormula for the Area of a Triangle Objective To guide the development and use of a formula for the area of a triangle.
Formula for the rea of a Triangle Objective To guide the development and use of a formula for the area of a triangle. www.everydaymathonline.com epresentations etoolkit lgorithms Practice EM Facts Workshop
More informationThe PartialQuotients Division Algorithm, Part 1
The PartialQuotients Division Algorithm, Part 1 Objectives To introduce and provide practice with a lowstress division algorithm for 1digit divisors. www.everydaymathonline.com epresentations etoolkit
More informationParentheses in Number Sentences
Parentheses in Number Sentences Objective To review the use of parentheses. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management
More informationAddition and Subtraction of Decimals Objective To add, subtract, and round decimals.
Addition and Subtraction of Decimals Objective To add, subtract, and round decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationSubtraction from Addition
Subtraction from Addition Objectives To review the and 1 shortcuts; and to guide children to identify the subtraction facts related to given addition facts. www.everydaymathonline.com epresentations etoolkit
More informationMultiplication and Division Fact Families
Multiplication and Division Fact Families Objectives To review fact families and the Multiplication/Division Facts Table; and to guide children as they practice multiplication and division facts. www.everydaymathonline.com
More informationProperties of Polygons Objective To explore the geometric properties of polygons.
Properties of Polygons Objective To explore the geometric properties of polygons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
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 threedimensional composite shapes.
More informationNumber Models for Area
Number Models for Area Objectives To guide children as they develop the concept of area by measuring with identical squares; and to demonstrate how to calculate the area of rectangles using number models.
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 informationObjective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management
Equivalent Fractions Objective To guide the development and use of a rule for generating equivalent fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
More informationMeasuring with Yards and Meters
Measuring with Yards and Meters Objectives To provide review for the concept of nonstandard units of measure; and to introduce yard and meter. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationInequalities. Assessment Management. Dividing Decimals by Decimals: Part 1
Inequalities Objectives To find and represent all the values that make an inequality in one variable true; and to represent realworld situations with inequalities. www.everydaymathonline.com epresentations
More information104 Surface Area of Prisms and Cylinders
: Finding Lateral Areas and Surface Areas of Prisms 2. Find the lateral area and surface area of the right rectangular prism. : Finding Lateral Areas and Surface Areas of Right Cylinders 3. Find the lateral
More informationVOLUME 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 informationMultiplication Facts Survey
Multiplication Facts Survey Objective To guide children as they determine which multiplication facts they still need to learn. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM
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 informationExponential Notation for Powers of 10
Expntial Notation for Objective To introduce numberandword notation for large numbers and expntial notation for powers of 10. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM
More informationMeasuring with a Ruler
Measuring with a Ruler Objective To guide children as they measure line segments to the nearest inch, _ inch, _ inch, centimeter, _ centimeter, and millimeter. www.everydaymathonline.com epresentations
More informationReading and Writing Large Numbers
Reading and Writing Large Numbers Objective To read and write large numbers in standard, expanded, and numberandword notations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice
More informationReading and Writing Small Numbers
Reading Writing Small Numbers Objective To read write small numbers in stard exped notations wwweverydaymathonlinecom epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationModule: Mathematical Reasoning
Module: Mathematical Reasoning Lesson Title: Using Nets for Finding Surface Area Objectives and Standards Students will: Draw and construct nets for 3D objects. Determine the surface area of rectangular
More informationCapacity. Assessment Management
Capacity Objective To review units of capacity. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards
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 informationHidden Treasure: A Coordinate Game. Assessment Management. Matching Number Stories to Graphs
Hidden Treasure: A Coordinate Game Objective To reinforce students understanding of coordinate grid structures and vocabulary. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM
More informationComparing and Ordering Fractions
Comparing and Ordering Fractions Objectives To review equivalent fractions; and to provide experience with comparing and ordering fractions. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationMiddle Value (Median) of a Set of Data
Middle Value (Median) of a Set of Data Objectives To guide children as they sort numerical data and arrange data in ascending or descending order, and as they find the middle value (median) for a set of
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 informationName: Date: Geometry Solid Geometry. Name: Teacher: Pd:
Name: Date: Geometry 20122013 Solid Geometry Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the Volume of Prisms and Cylinders Pgs: 17 HW: Pgs: 810 DAY 2: SWBAT: Calculate the Volume of
More informationSunriseSunset Line Graphs
SunriseSunset Line Graphs Objectives To guide children as they analyze data from the sunrisesunset routine; and to demonstrate how to make and read a line graph. www.everydaymathonline.com epresentations
More informationChange Number Stories Objective To guide children as they use change diagrams to help solve change number stories.
Number Stories Objective To guide children as they use change diagrams to help solve change number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
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 informationFractions and Decimals
Fractions and Decimals Objectives To provide experience with renaming fractions as decimals and decimals as fractions; and to develop an understanding of the relationship between fractions and division.
More informationThe Lattice Method of Multiplication
The Lattice Method of Multiplication Objective To review and provide practice with the lattice method for multiplication of whole numbers and decimals. www.everydaymathonline.com epresentations etoolkit
More informationBaseball Multiplication Objective To practice multiplication facts.
Baseball Multiplication Objective To practice multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common
More informationPerformance Based Learning and Assessment Task Confetti Task
Performance Based Learning and Assessment Task Confetti Task I. ASSESSMENT TASK OVERVIEW & PURPOSE: In this task, Geometry students will investigate how surface area and volume is used to estimate the
More informationTopic 9: Surface Area
Topic 9: Surface Area for use after Covering and Surrounding (Investigation 5) Jillian is wrapping a box of model cars for her brother s birthday. Jillian needs to measure the box to see if she has enough
More informationTeacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.
Teacher Page Key Geometry / Day # 13 Composite Figures 45 Min. 91.G.1. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles
More informationWeek Which fraction is equal to the decimal below? 0.6 A. 3 / 5 B. 4 / 5 C. 3 / 10 D. 2 / Round to the nearest hundred: 24,957 4.N.
Week 4 16. Which fraction is equal to the decimal below? 0.6 A. 3 / 5 B. 4 / 5 C. 3 / 10 D. 2 / 5 4.N.4 17. What is the area of the shape above? A. 18 cm 2 B. 22 cm 2 C. 21 cm 2 D. 20 cm 2 4.M.1 18. Round
More informationCalculator Practice: Computation with Fractions
Calculator Practice: Computation with Fractions Objectives To provide practice adding fractions with unlike denominators and using a calculator to solve fraction problems. www.everydaymathonline.com epresentations
More informationVolume of Pyramids and Cones. Tape together as shown. Tape together as shown.
76 Volume of Pyramids and Cones MAIN IDEA Find the volumes of pyramids and cones. New Vocabulary cone Math Online glencoe.com Extra Examples Personal Tutor SelfCheck Quiz In this Mini Lab, you will investigate
More informationEveryday Mathematics GOALS
Copyright Wright Group/McGrawHill GOALS The following tables list the GradeLevel Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the
More informationReview: Addition and Subtraction of Positive and Negative Numbers
Review: Addition and Subtraction of Positive and Negative Numbers Objective To practice adding and subtracting positive and negative numbers. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationPlace Value in Whole Numbers
Place Value in Whole Numbers Objectives To provide practice identifying values of digits in numbers up to one billion; and to provide practice reading and writing numbers up to one billion. www.everydaymathonline.com
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 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 informationBuying at the StockUp Sale
Buying at the StockUp Sale Objective To guide children as they multiply using mental math and the partialproducts algorithm. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM
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 informationHow do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of prealgebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More informationRIT scores between 191 and 200
Measures of Academic Progress for Mathematics RIT scores between 191 and 200 Number Sense and Operations Whole Numbers Solve simple addition word problems Find and extend patterns Demonstrate the associative,
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 informationSubtraction of Multidigit Numbers
Subtraction of Multidigit Numbers Objectives To review the tradefirst and countingup methods, and to introduce the partialdifferences method of solving multidigit subtraction problems; and to provide
More informationGrade 3 Math Expressions Vocabulary Words
Grade 3 Math Expressions Vocabulary Words Unit 1, Book 1 Place Value and MultiDigit Addition and Subtraction OSPI words not used in this unit: add, addition, number, more than, subtract, subtraction,
More informationBox Plots. Objectives To create, read, and interpret box plots; and to find the interquartile range of a data set. Family Letters
Bo Plots Objectives To create, read, and interpret bo plots; and to find the interquartile range of a data set. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More information128 Congruent and Similar Solids
Determine whether each pair of solids is similar, congruent, or neither. If the solids are similar, state the scale factor. 3. Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio
More informationEveryday Mathematics. Grade 3 GradeLevel Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread Grade Level Goal
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
More information83 Perimeter and Circumference
Learn to find the perimeter of a polygon and the circumference of a circle. 83 Perimeter Insert Lesson and Title Circumference Here perimeter circumference Vocabulary The distance around a geometric figure
More informationSubtraction Strategies
Subtraction Strategies Objective To review solution strategies for subtraction of multidigit numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More information5.2. Nets and Solids LESSON. Vocabulary. Explore. Materials
LESSON 5.2 Nets and Solids A net is a flat figure that can be folded to form a closed, three dimensional object. This type of object is called a geometric solid. Inv 1 Use a Net 229 Inv 2 Use Nets to
More informationAlgorithm set of steps used to solve a mathematical computation. Area The number of square units that covers a shape or figure
Fifth Grade CCSS Math Vocabulary Word List *Terms with an asterisk are meant for teacher knowledge only students need to learn the concept but not necessarily the term. Addend Any number being added Algorithm
More informationGeo  CH10 Practice Test
Geo  H10 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. lassify the figure. Name the vertices, edges, and base. a. triangular pyramid vertices:,,,,
More information17.2 Surface Area of Prisms and Cylinders
Name Class Date 17. Surface Area of Prisms and Cylinders Essential Question: How can you find the surface area of a prism or cylinder? Explore G.11.C Apply the formulas for the total and lateral surface
More informationKindergarten Math Standards at a Glance By the end of Kindergarten, students should be able to: Add and subtract numbers up to 5 Know number names
Kindergarten Math Standards at a Glance By the end of Kindergarten, students should be Add and subtract numbers up to 5 Know number names and count to 100 Count to tell the number of objects in a group
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 informationAreas of Rectangles and Parallelograms
CONDENSED LESSON 8.1 Areas of Rectangles and Parallelograms In this lesson you will Review the formula for the area of a rectangle Use the area formula for rectangles to find areas of other shapes Discover
More informationSolving Simple Equations Objective To use trial and error and a coverup method to
Solving Simple Equations Objective To use trial and error and a coverup method to solve equations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationMath 0306 Final Exam Review
Math 006 Final Exam Review Problem Section Answers Whole Numbers 1. According to the 1990 census, the population of Nebraska is 1,8,8, the population of Nevada is 1,01,8, the population of New Hampshire
More information128 Congruent and Similar Solids
Determine whether each pair of solids is similar, congruent, or neither. If the solids are similar, state the scale factor. Ratio of radii: Ratio of heights: The ratios of the corresponding measures are
More informationCARMEL CLAY SCHOOLS MATHEMATICS CURRICULUM
GRADE 4 Standard 1 Number Sense Students understand the place value of whole numbers and decimals to two decimal places and how whole numbers 1 and decimals relate to simple fractions. 4.1.1 Read and write
More information