MCAS and Common Core Mathematics Student Set

Transcription

1 Grade 4 SMPLER MS and ommon ore Mathematics Student Set lick on the book titles below to navigate. MS Finish Line MS Performance Indicator Finish Line for the ommon ore State Standards

2 ontents Introduction to MS Finish Line Mathematics Understanding Mathematical Processes Unit 1: Number Sense Lesson 1 Whole Number Place Value Lesson 2 omparing and Ordering Numbers Lesson 3 Rounding Whole Numbers Lesson 4 ecimal Place Value Lesson 5 Fractions and Mixed Numbers Lesson 6 Equivalent Forms Lesson 7 Factors and Multiples Number Sense Review Unit 2: Operations Lesson 1 Operation Properties Lesson 2 dding and Subtracting Whole Numbers Lesson 3 Multiplication and ivision Facts Lesson 4 Multiplying Whole Numbers Lesson 5 ividing Whole Numbers Lesson 6 dding and Subtracting Fractions Lesson 7 Estimation Operations Review Unit 3: Geometry, Part 1 Lesson 1 Lines Lesson 2 ngles Lesson 3 Plane Figures Lesson 4 Solid Figures Lesson 5 oordinate Grids Lesson 6 ongruence and Similarity

3 Lesson 7 Symmetry Geometry Review Unit 4: Patterns, Relations, and lgebra Lesson 1 Patterns Lesson 2 Writing Open Sentences Lesson 3 Solving Equations Lesson 4 Functions Lesson 5 Proportional Relationships Patterns, Relations, and lgebra Review Unit 5: Measurement Lesson 1 ustomary Units of Measurement Lesson 2 Metric Units of Measurement Lesson 3 Measurement onversions Lesson 4 Perimeter Lesson 5 rea Lesson 6 Estimating rea Lesson 7 Time Measurement Review Unit 6: ata nalysis, Statistics, and Probability Lesson 1 Tables and Tallies Lesson 2 ar Graphs Lesson 3 Pictographs Lesson 4 Line Plots Lesson 5 Line Graphs Lesson 6 Probability ata nalysis, Statistics, and Probability Review

4 LESSON 4 Solid Figures Indicators 4.G.1, 2, 9,,, solid figure has three dimensions: length, width, and height. Some solids have curved surfaces. base cone has 1 base. The base is a circle. base base cylinder has 2 bases. oth are circles. Other solids have flat surfaces that are based on polygons. Each kind has a certain number of faces, edges, and vertices. Remember polygon is a closed plane figure with line segments for sides. circle is a closed plane figure, but it is not a polygon. sphere is a round solid, like a ball. Vertex, Prisms are solids with sides that are rectangles. They have two faces that are bases. The base can be any polygon. Face Edge, 6 faces 8 vertices 12 edges rectangular prism has a rectangle for the base. 5 faces 6 vertices 9 edges triangular prism has a triangle for the base. Pyramids are solids with sides that are triangles that meet at one point. They have one face that is a base. The base can be any polygon. cube is a special kind of rectangular prism. ll the faces are squares. net shows what a solid looks like unfolded. 4 faces 4 vertices 6 edges triangular pyramid has a triangle for the base. 5 faces 5 vertices 8 edges rectangular pyramid has a rectangle for the base. This net of a cube shows the 6 squares laid flat. pyramid always has the same number of vertices as it does faces. Unit 3 Geometry 89 The ontinental Press, Inc. o not duplicate.

5 Read each problem. ircle the letter of the best answer. 1 Nelson cut out this pattern. 4 How many vertices does this solid have? P R S V T When Nelson folds the pattern, which point will meet point R? point P point S point T point V 5 Which solid figure has 5 faces and 9 edges? The correct answer is. The pattern has 6 sides, so it will fold to make a rectangular prism. Point R will meet point S. 2 Which picture shows a cone? 6 Which shape has more than 1 square face? cube cylinder cone square pyramid 7 Look at this figure. 3 How many edges does a rectangular prism have? 4 6 Which of these patterns was used to make the figure? Unit 3 Geometry The ontinental Press, Inc. o not duplicate.

6 Read each problem. Write your answers. 8 manda wrote this clue to describe a geometric solid. This solid has 4 faces and 4 vertices. What is the name of the solid? nswer: triangular pyramid Pyramids always have the same number of vertices as faces. If a pyramid has a total of 4 faces, then one must be the base and the other three, the sides. So the pyramid must be a triangular pyramid. 9 Look at this pattern. Name the solid figure the pattern would form when it is folded. nswer: 10 certain solid has a curved surface. It has no bases. It has no edges or vertices. What is the name of the solid? nswer: 11 This package has the shape of a solid. How many faces does the solid have? nswer: Handle With are 12 In the space below, draw a cube. Unit 3 Geometry 91 The ontinental Press, Inc. o not duplicate.

7 Read the problem. Write your answer for each part. 13 Solana cut out these shapes and taped them together to make a solid. a. In the space below, draw the solid Solana made. Name the solid. Explain how you know your answer is correct. b. How many faces, edges, and vertices does the solid have? Show or explain how you got your answer. sk Yourself How many edges will there be after the faces meet? 92 Unit 3 Geometry The ontinental Press, Inc. o not duplicate.

8 Question 17 is an open-response question. e sure to answer and label all parts of the question below. Show all of your work (diagrams, tables, or computations) in the space provided. If you do the work in your head, explain in writing how you did the work. 17 The table shows how the number of passengers on a train depends on the number of cars. TRIN PSSENGERS Number of ars Number of Passengers a. How many passengers are in each train car? Show or explain how you got your answer. nswer: b. How many passengers are on a train with 16 cars? Show or explain how you got your answer. nswer: c. If a train has n cars, explain how can you find the total number of passengers. Session One 10 The ontinental Press, Inc. o not duplicate. Stop

9 22 Each IN number is changed to an OUT number by a rule. IN OUT There are 20 students in Lily s class. The first letter of each student's name is listed below.,,,, E, G, H, H, J, J, J, J, K, L, N, R, S, T, T, V Which of these could be the rule? Which table shows how many names start with F, G L, M R, and S Z? First Letter Number F 5 add 1 add 3 G L 8 M R 3 S Z 4 subtract 3 multiply by 2 First Letter Number F 5 23 Which shape has a line of symmetry? G L 8 M R 2 S Z 5 First Letter Number F 5 G L 9 M R 3 S Z pickup truck held ton of gravel 4 3 and ton of sand. What was the total 8 weight of the load? 1 2 ton First Letter Number F 5 G L 9 M R 2 S Z ton ton ton 26 roll of quarters contains 40 quarters. If idan has n rolls of quarters, plus 15 extra quarters, which expression shows the total number of quarters he has? 40 n n n n 15 Session Two 13 The ontinental Press, Inc. o not duplicate. Go On

10 Table of ontents Introduction...5 Unit 1 Number Sense NT.1, 4.NT.2 Lesson 1 Whole-Number Place Value NT.1 Lesson 2 omparing Whole Numbers NT.3 Lesson 3 Rounding Whole Numbers O.4 Lesson 4 Factors and Multiples O.4 Lesson 5 Prime and omposite Numbers...24 Review Number Sense...28 Unit 2 Operations NT.4 Lesson 1 dding Whole Numbers NT.4 Lesson 2 Subtracting Whole Numbers NT.5 Lesson 3 Multiplying Whole Numbers NT.6 Lesson 4 ividing Whole Numbers...44 Review Operations...48 Unit 3 Solving Problems O.3 Lesson 1 Representing Word Problems O.1, 4.O.2 Lesson 2 Solving One-Step Word Problems O.1, 4.O.3 Lesson 3 Solving Two-Step Word Problems O.3 Lesson 4 Estimation...64 Review Solving Problems...68 Unit 4 Fractions NF.1 Lesson 1 Equivalent Fractions NF.2 Lesson 2 omparing Fractions NF.3.a, b Lesson 3 dding and Subtracting Fractions NF.3.c Lesson 4 dding and Subtracting Mixed Numbers NF.4.a, b Lesson 5 Multiplying a Fraction by a Whole Number NF.3.d, 4.NF.4.c Lesson 6 Word Problems with Fractions...92 Review Fractions...96

11 Unit 5 ecimals NF.5 Lesson 1 ecimal Fractions NF.6 Lesson 2 ecimal Notation NF.7 Lesson 3 omparing ecimals Review ecimals Unit 6 Patterns O.5 Lesson 1 Number Patterns O.5 Lesson 2 Shape Patterns Review Patterns Unit 7 Measurement M.1 Lesson 1 ustomary Units of Measurement M.1 Lesson 2 Metric Units of Measurement M.1 Lesson 3 Measurement onversions M.2 Lesson 4 Measurement Word Problems M.4 Lesson 5 Measurement ata Review Measurement Unit 8 Perimeter and rea M.3 Lesson 1 Perimeter of Rectangles M.3 Lesson 2 rea of Rectangles Review Perimeter and rea Unit 9 Geometry G.1 Lesson 1 Points, Lines, Rays, and ngles M.5.a, b; Lesson 2 ngle Measure M.6; 4.M.7 4.G.1 Lesson 3 Parallel and Perpendicular Lines G.2 Lesson 4 lassifying Shapes G.3 Lesson 5 Lines of Symmetry Review Geometry Practice Test Glossary...199

12 0 LESSON 2 ngle Measure 4.M.5.a, b; 4.M.6; 4.M.7 The measure of an angle is found in degrees. The symbol means degrees. 90 means 90 degrees The symbol means angle. n m in front of the means the measure of an angle. m Y means measure of angle Y n angle is measured as part of a circle. If the vertex is at the center of the circle, the angle s measure is a fraction of the circle. X ngles can be classified by their measures. cute Right Obtuse Straight What types of angles are in the figure below? M P N ngles ONQ and PNQ are acute angles. They are smaller than 90. ngles PNM and PNO are right angles. They are exactly 90. ngle MNQ is an obtuse angle. It is greater than 90 but less than 180. ngle MNO is a straight angle. It is exactly 180. You measure an angle using a tool called a protractor. What is the measure of R? Q O ngle X is a right angle. It measures 90, or 1 4 of the circle circle measures protractor shows two sets of numbers. e sure to read each set from the correct direction. 168 UNIT 9 Geometry R To measure an angle using a protractor, line up 0 with one ray of the angle. Find the point along the protractor where the angle s other ray lines up. Read the measure. ngle R measures 45. The ontinental Press, Inc. UPLITING THIS MTERIL IS ILLEGL

13 Read each problem. ircle the letter of the best answer. SMPLE ngle QRS has a measure of 128 and angle QRP has a measure of 63. What is the measure of angle PRS? Q P R S The correct answer is. To find the measure of angle PRS, subtract the measure of angle QRP from the measure of angle QRS: Maya s teacher asked her to draw a 25 angle. Which angle did Maya draw? 4 Lon drew two angles. The measure of the first angle was 165. The sum of the measures of the angles was 180. What was the measure of the second angle? What is the measure of the angle below? Use your protractor. 5 In the figure below, measures Yvette drew an angle that had a measure of 100. What kind of angle did Yvette draw? Which number sentence could you use to find m? m m m m 23 acute right obtuse straight The ontinental Press, Inc. UPLITING THIS MTERIL IS ILLEGL. UNIT 9 Geometry 169

14 Read each problem. Write your answer. SMPLE The map shows a section of Turnersville. Use a protractor to find the measure of angle at the corner of roadway and Washington Street. roadway nswer To find the measure of angle, line up the 0 on the protractor with roadway. Then find the mark on the protractor where Washington Street lines up. This is at 70. Washington St. Madison St. OakSt. 6 Orlando measures angle at the corner of Madison Street and roadway and finds that it is a 110 angle. What is the measure of angle? Explain how you found your answer. 7 Use your protractor to help you answer this question. ngles MNO and PNO share ray NO. ngle MNO measures 35. ngle PNO measures 40. raw these angles in the space at the right. What is the measure of angle MNP? nswer 8 Use your protractor to help you answer this question. ngle FGH measures 90. In the space at the right, draw and label angle FGH. What kind of angle is angle FGH? nswer 170 UNIT 9 Geometry The ontinental Press, Inc. UPLITING THIS MTERIL IS ILLEGL.

15 Read the problem. Write your answer to each part. 9 Hana is baking bread. She is using a kitchen timer that has a circle for a dial. One hand of the timer points to 0. The other hand moves to mark the amount of time. She sets the dial for 25 minutes, as shown below min 15 min 30 min Part Use a protractor to find the measure of the angle the timer is set to. nswer Part fter 5 minutes, Hana checks on the bread. The hand that measures time has moved 30 closer to 0. What is the measure of the angle formed by the hand at 0 and the hand that tells how much time is left? Explain how you found your answer. Imagine drawing another ray to show the angle of the timer after 5 minutes has passed. How is this angle related to the original angle? The ontinental Press, Inc. UPLITING THIS MTERIL IS ILLEGL. UNIT 9 Geometry 171