# Common Core State Standards 1 st Edition. Math Pacing Guide

Size: px
Start display at page:

Download "Common Core State Standards 1 st Edition. Math Pacing Guide"

Transcription

1 Common Core State Standards 1 st Edition Math Pacing Guide Fourth Grade 2 nd Nine Week Period 1 st Edition Developed by: Christy Mitchell, Amy Moreman, Natalie Reno `````````````````````````````````````````````````````````````````````````````````````` Mr. Stan Rounds, Superintendent Dr. Steven Sanchez, Deputy Superintendent Prepared By: Lydia Polanco, Coordinator of Elementary Instruction Fourth Grade - 2 nd Nine Weeks 1

2 Math Pacing Guide Las Cruces Public Schools Understanding Mathematics: The standards define what students should understand and be able to do in their study of mathematics. Asking a student to understand something means asking a teacher to assess whether the student has understood it. 1 Mathematical understanding and procedural skill are equally important. 2 Description of the Pacing Guide: A pacing guide is an interval based description of what teachers teach in a particular grade or course; the order in which it is taught, and the amount of time dedicated to teaching the content. Purpose of a Pacing Guide: The purpose of a pacing guide is to ensure that all of the standards are addressed during the academic year. Each pacing guide is nine weeks in duration. Components of the Pacing Guide: Critical Areas- Each grade level has identified Critical Areas. These areas are woven throughout the standards and should receive additional time and attention. Mathematical Practice Standards (8)- Based on the NCTM Process Standards, these standards describe the variety of "processes and proficiencies" students should master while working with the Grade Level Content Standards. Domains are larger groups of related Content Standards. Standards from different domains may sometimes be closely related. 3 Clusters are groups of related standards. Note that standards from different clusters may sometimes be closely related, because mathematics is a connected subject. 4 Grade level standards define what students should know and be able to do by the end of each grade level. Unpacked standards provide a clear picture for the teacher as he/she implements the CCSS Resources includes but not limited to current district core resources Depth of Knowledge (DOK) Criteria for systematically analyzing the alignment between standards and standardized assessments. Understanding Mathematics: The standards define what students should understand and be able to do in their study of mathematics. Asking a student to understand something means asking a teacher to assess whether the student has understood it Mathematics, Introduction, p. 4 2 See #1 3 See #1 4 Mathematics, Introduction, p Mathematics, Introduction, p. 4 Fourth Grade - 2 nd Nine Weeks 2

3 STANDARDS-BASED, STANDARDS-DRIVEN LCPS Pacing Guides Other Resources Common Core State Standards Core Program envision Math Supplemental Technology Based program to prepare for PARCC (First in Math, FASTT Math, etc.) Fourth Grade - 2 nd Nine Weeks 3

4 Grade Level: 4 Quarter: 2 nd Nine Weeks Standard Q1 Q2 Q3 Q4 4.0A.1 X P R R 4.0A.2 X P R R 4.0A.3 X P R R 4.0A.4 X P R R Domain: Operations and Algebraic Thinking Cluster: Use the four operations with whole numbers to solve problems. Critical Areas: #1: Strong Connection #2: No Connection #3: No Connection #4: No Connection Grade Level Content Standard Mathematical Practice Standard 4.OA.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. 4.OA.2. Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.' 4.OA.3. Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.4. Find all factor pairs for a whole number in the range Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range is a multiple of a given one-digit number. Determine whether a given whole number in the range is prime or composite. MP.1. Make sense of problems and persevere in solving them. MP.3. Construct viable arguments and critique the reasoning of others. MP.4. Model with mathematics. MP.7. Look for and make use of structure. MP.4. Model with mathematics. MP.7. Look for and make use of structure. MP.1. Make sense of problems and persevere in solving them. MP.4. Model with mathematics. MP.7. Look for and make use of structure. MP.7. Look for and make use of structure. Unpacked Content Standard: 4.OA.1. Students should be given opportunities to write and identify equations and statements for multiplicative comparisons. 5 x 8 = 40. Sally is five years old. Her mom is eight times older. How old is Sally s Mom? 5 x 5 = 25. Sally has five times as many pencils as Mary. If Sally has 5 pencils, how many does Mary have? 4.OA.2 This standard calls for students to translate comparative situations into equations with an unknown and solve. Fourth Grade - 2 nd Nine Weeks 4

5 Students need many opportunities to solve contextual problems. Examples: Unknown Product: A blue scarf costs \$3. A red scarf costs 6 times as much. How much does the red scarf cost? (3 x 6 = p). Group Size Unknown: A book costs \$18. That is 3 times more than a DVD. How much does a DVD cost? (18 p = 3 or 3 x p = 18). Number of Groups Unknown: A red scarf costs \$18. A blue scarf costs \$6. How many times as much does the red scarf cost compared to the blue scarf? (18 6 = p or 6 x p = 18). 4.OA.3 The focus in this standard is to have students use and discuss various strategies. It refers to estimation strategies, including using compatible numbers (numbers that sum to 10 or 100) or rounding. Problems should be structured so that all acceptable estimation strategies will arrive at a reasonable answer. Students need many opportunities solving multistep story problems using all four operations. On a vacation, your family travels 267 miles on the first day, 194 miles on the second day and 34 miles on the third day. How many miles did they travel total? Some typical estimation strategies for this problem: Student 1 response: I first thought about 267 and 34. I noticed that their sum is about 300. Then I knew that 194 is close to 200. When I put 300 and 200 together, I get 500. Student 2 response: I first thought about 194. It is really close to 200. I also have 2 hundreds in 267. That gives me a total of 4 hundreds. Then I have 67 in 267 and the 34. When I put 67 and 34 together that is really close to 100. When I add that hundred to the 4 hundreds that I already had, I end up with 500. Student 3 response: I rounded 267 to 300. I rounded 194 to 200. I rounded 34 to 30. When I added 300, 200 and 30, I know my answer will be about OA.4 Requires students to demonstrate understanding of factors and multiples of whole numbers. This standard also refers to prime and composite numbers. Prime numbers have exactly two factors, the number one and their own number. For example, the number 17 has the factors of 1 and 17. Composite numbers have more than two factors. For example, 8 has the factors 1, 2, 4, and 8. A common misconception is that the number 1 is prime, when in fact; it is neither prime nor composite. Another common misconception is that all prime numbers are odd numbers. This is not true, since the number 2 has only 2 factors, 1 and 2, and is also an even number. Vocabulary: multiply, divide, unknown, algebraic thinking, equation, remainders, reasonableness, mental computation, estimation strategies, factor pairs, multiple, factors, prime, composite, rounding, product, array, fact family, inverse operations, commutative property of multiplication, zero property of multiplication, identity property of multiplication, distributive property Resources: Depth of Knowledge envisionmath 4.OA.1: Topic 1: Multiplication and Division: Meanings and Facts 1-1 Meanings of Multiplication 1-3 Multiplication Properties 1-7 Relating Multiplication & Division 4.OA.1. DOK 1: What is number 3 times larger than 4? 4.OA.1 DOK 2: Write an equation that shows 8 times as many as OA.2. DOK 1: Jenny has 5 dolls. Susie has 3 times as many dolls as Jenny. How many dolls does Susie have in all? Fourth Grade - 2 nd Nine Weeks 5

6 4.OA.2: Topic 1: Multiplication and Division: Meanings and Facts 1-6 Meaning of Division 1-8 Special Quotients 1-9 Using Multiplication Facts to find Division Facts 1-10 Problem Solving: Draw a picture and write an equation 4.OA.3: Topic 1: Multiplication and Division: Meanings and Facts 1-5 Look for a Pattern 4.OA.3: Topic 5: Number Sense: Multiplying by 1-Digit Numbers 5-6 Problem Solving: Reasonableness 4.OA.4: Topic 1: Multiplication and Division: Meanings and Facts 1-4 3, 4, 6, 7, and 8 as Factors 4.OA.4: Topic 11: Fraction Equivalence and Ordering 11-1 Factors 11-2 Prime and Composite Numbers 11-3 Multiples 4.OA.2. DOK 2: Joan works on a loading dock. She can load 45 boxes in one hour. Write an equation that can be used to find b, the number of boxes she can load in 2 hours. 4.OA.3. DOK 1: Identify the equation used to solve this word problem. Noah is planning a birthday party. 24 girls are attending and 28 boys plan to attend. He is serving the cake that will feed 75 people. How many more people can Noah invite to his party before he runs out of cake? 75-(24+28) = 4.OA.3. DOK 2: Solve: Mary had 3 apple trees with 12 apples on each tree. She had 4 orange trees with 16 oranges on each tree. Write an equation with a letter standing for the unknown quantity that shows how much fruit she has in all. 4.OA.3. DOK 3: Write and solve a two-step word problem that uses 2 different operations. 4.OA.4. DOK 1: Identify the prime number. Which number is a composite? What are the factors of 25? List the multiples of 7 up to 70. Fourth Grade - 2 nd Nine Weeks 6

7 Grade Level: 4 Quarter: 2 nd Nine Weeks Domain: Number and Operations in Base Ten (4.NBT) Standard Q1 Q2 Q3 Q4 4.NBT.5 X P P R 4.NBT.6 X P P R Cluster: Use place value understanding and properties of operations to perform multidigit arithmetic. Critical Areas: #1: Strong Connection #2: No Connection #3: No Connection #4: No Connection Grade Level Content Standard Mathematical Practice Standard 4.NBT.5. Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. MP.3. Construct viable arguments and critique the reasoning of others. MP.4. Model with mathematics. MP.7. Look for and make use of structure. MP.3. Construct viable arguments and critique the reasoning of others. MP.4. Model with mathematics. MP.7. Look for and make use of structure. Unpacked Content Standard: 4.NBT.5. Students who develop flexibility in breaking numbers apart (decomposing numbers) have a better understanding of the importance of place value and the distributive property in multi-digit multiplication. Students use base ten blocks, area models, partitioning, compensation strategies, etc. when multiplying whole numbers and use words and diagrams to explain their thinking. They use the terms factor and product when communicating their reasoning. Multiple strategies enable students to develop fluency with multiplication and transfer that understanding to division. Use of the standard algorithm for multiplication and understanding why it works, is an expectation in the 5th grade. This standard calls for students to multiply numbers using a variety of strategies. There are 25 dozen cookies in the bakery. What is the total number of cookies at the bakery? Student 1 25 x 12 I broke 25 up into 5 groups of 5 5 x 12 = 60 I have 5 groups of 5 in x 5 = 300 Student 2 25 x 12 I doubled 25 and cut 12 in half to get 50 x 6 = 300 Student 3 25 x12 I broke 12 up into 10 and 2 25 x 10 = x 2 = = NBT.6 In fourth grade, students build on their third grade work with division within 100. Students need opportunities to develop their understandings by using problems in and out of context. Fourth Grade - 2 nd Nine Weeks 7

8 Examples : A 4th grade teacher bought 4 new pencil boxes. She has 260 pencils. She wants to put the pencils in the boxes so that each box has the same number of pencils. How many pencils will there be in each box? Using Base 10 Blocks: Students build 260 with base 10 blocks and distribute them into 4 equal groups. Some students may need to trade the 2 hundreds for tens but others may easily recognize that 200 divided by 4 is 50. Using Place Value: = (200 4) + (60 4) Using Multiplication: 4 x 50 = 200, 4 x 10 = 40, 4 x 5 = 20; = 65; so = 65 This standard calls for students to explore division through various strategies. Student divided by 8 There are 70 8 s in = 32 There are 4 8 s in = 74 Student divided by 8 I know that 10 8 s is 80 If I take out 50 8 s that is = 192 I can take out 20 more 8 s which is = 32 8 goes into 32 4 times I have none left I took out 50, then 20 more, then 4 more That s 7 Student 3 I want to get to x 25 = x 25 = x 25 = = = 592 I had 75 groups of 8 and took one away, so there are 74 teams Vocabulary: partial products, quotients, remainders, dividends, divisors, multiplication, division, equations, rectangular arrays, area models, compatible numbers, Resources: Depth of Knowledge envisionmath 4.NBT.5 Topic 5: Number Sense: Multiplying by 1-Digit Numbers 5-1 Arrays and Multiplying by 10 and Multiplying by Multiples of 10 and Breaking Apart to Multiply 5-4 Using Mental Math to Multiply 5-5 Using Rounding to Estimate 5-6 Problem Solving: Reasonableness 4.NBT.5 Topic 6: Developing Fluency: Multiplying by 1-Digit Numbers 6-1 Arrays and Using an Expanded Algorithm, 6-2 Connecting the Expanded and Standard Algorithms 6-3 Multiplying 2-Digit by 1-Digit Numbers 4.NBT.5. DOK 1: Solve: 124 x 7 =, 53 x 25 =, 2531 x 4 = 4.NBT.5. DOK 2: Find the product of 45 x 23 using a strategy other than the standard algorithm. Fourth Grade - 2 nd Nine Weeks 8

9 6-4 Multiplying 3- and 4-Digit by 1-Digit Numbers 6-5 Multiplying by 1-Digit Numbers 6-6 Problem Solving: Missing or Extra Information 4.NBT.5 Topic 7: Number Sense: Multiplying by 2-Digit Number 7-1 Arrays and Multiplying 2-Digit Numbers by Multiples of Using Mental Math to Multiply 2-digit Numbers 7-4 Using Compatible Numbers to Estimate 7-5 Problem Solving: Multiple-Step Problems 4.NBT.6: DOK 1: Solve: = =. 4.NBT.6: DOK 2: Jenny has 36 brownies. She would like to share them with her 6 friends. Which operation shows how many brownies each friend will receive? 4.NBT.6: DOK 2: Henry had 491 baseball cards. He wanted to split them equally between his 5 friends. How many would each friend get, and is there a remainder? 4.NBT.5 Topic 8: Developing Fluency: Multiplying by 2-Digit Numbers 8-1 Arrays and Multiplying 2-Digit Numbers 8-2 Arrays and an Expanded Algorithm 8-3 Multiplying 2-Digit Numbers by Multiples of Ten 8-4 Multiplying 2-Digit by 2-Digit Numbers 8-5 Problem Solving: Two-Question Problems 4.NBT.6 Topic 9: Number Sense: Dividing by 1-Digit Divisors 9-1 Using Mental Math to Divide 9-2 Estimating Quotients 9-3 Estimating Quotients for greater Dividends 9-4 Dividing with Remainders 9-5 Multiplication and Division Stories, 9-6 Problem Solving: Draw a Picture and Write an Equation. 4.NBT.6 Topic 10: Developing Fluency: Dividing by 1-Digit Divisors 10-1 Using Object to Divide: Division as Repeated Subtraction 10-2 Division as Repeated Subtraction 10-3 Using Object to Divide: Division as Sharing 10-4 Dividing 2-Digit by 1-Digit Numbers 10-5 Dividing 3-Digit by 1-Digit Numbers 10-6 Deciding Where to Start Dividing, 10-7 Dividing 4-Digit by 1- Digit Dividing 4-Digit by 1-Digit Numbers Fourth Grade - 2 nd Nine Weeks 9

10 Grade Level: 4 Quarter: 2 nd Nine Weeks Domain: Operations and Algebraic Thinking (OA) Standard Q1 Q2 Q3 Q4 4.MD.3 (area) I/P I/P R R Cluster: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Critical Areas: #1: Strong Connection #2: No Connection #3: No Connection #4: No Connection Grade Level Content Standard Mathematical Practice Standard 4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. 2nd quarter area MP.4. Model with mathematics. MP.7.Look for and make use of structure. Unpacked Content Standard: 4.MD.3 Students developed understanding of area in 3rd grade by using visual models. While students are expected to use a formula to calculate the area of rectangles, they need to understand and be able to communicate their understanding of why the formula works. The formula for area is I x w and the answer will always be in square units. This standard calls for students to generalize their understanding of area by connecting the concept to a mathematical formula. The formula should be developed through experience not just memorization. Mrs. Fields is covering the miniature golf course with an artificial grass. The length is 12ft and the width is 9ft. How many 1-foot squares of carpet will she need to cover the entire course? Vocabulary: rectangles, area, formula, length, width, perimeter Resources: envision Math 4.MD.3 Topic 15: Solving Measurement Problems 15-1 Solving Area and Perimeter Problems Depth of Knowledge 4.MD.3. DOK 1: Find the area of a regular polygon with length and width given. 4.MD.3. DOK 2: The rectangular sign has an area of 32 in. The length of the sign is 8 in. How wide is the sign? 4.MD.3. DOK 3: Create 2 different polygons with an area of 64 in. Fourth Grade - 2 nd Nine Weeks 10

11 Grade Level: 4 Quarter: 2 nd Nine Weeks Domain: Measurement and Data (4.MD) Standard Q1 Q2 Q3 Q4 4.MD.5a X P R R 4.MD.5b X P R R 4.MD.6 X P R R 4.MD.7 X P R R Cluster: Geometric measurement: understand concepts of angle and measure angles. Critical Areas: #1: No Connection #2: No Connection #3: Strong Connection #4: No Connection Grade Level Content Standard Mathematical Practice Standard 4.MD.5 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: 4.MD.5a An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles. 4.MD.5b An angle that turns through n one-degree angles is said to have an angle measure of n degrees. 4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. 4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure. MP.5. Use appropriate tools strategically MP.7. Look for and make use of structure. MP.5. Use appropriate tools strategically MP.7. Look for and make use of structure. MP.1. Make sense of problems and persevere in solving them. MP.4. Model with mathematics. Unpacked Content Standard: 4.MD.5a Angle measure is a turning point in the study of geometry. Students often find angles and angle measure to be difficult concepts to learn, but that learning allows them to engage in interesting and important mathematics. An angle is the union of two rays, a and b, with the same initial point P. The rays can be made to coincide by rotating one to the other about P; this rotation determines the size of the angle between a and b. The rays are sometimes called the sides of the angles. Another way of saying this is that each ray determines a direction and the angle size measures the change from one direction to the other. Angles are measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a one-degree angle, and degrees are the unit used to measure angles in elementary school. A full rotation is thus 360º. Two angles are called Fourth Grade - 2 nd Nine Weeks 11

12 complementary if their measurements have the sum of 90º. Two angles are called supplementary if their measurements have the sum of 180º. Two angles with the same vertex that overlap only at a boundary (i.e., share a side) are called adjacent angles. These terms may come up in classroom discussion, they will not be tested. This concept is developed thoroughly in middle school (7th grade). Like length, area, and volume, angle measure is additive: The sum of the measurements of adjacent angles is the measurement of the angle formed by their union. This leads to other important properties. If a right angle is decomposed into two adjacent angles, the sum is 90º, thus they are complementary. Two adjacent angles that compose a straight angle of 180º must be supplementary. The diagram below will help students understand that an angle measurement is not related to an area since the area between the 2 rays is different for both circles yet the angle measure is the same. 4.MD.5b This standard calls for students to explore an angle as a series of one-degree turns. A water sprinkler rotates one-degree at each interval. If the sprinkler rotates a total of 100º, how many one-degree turns has the sprinkler made? 4.MD.6 Before students begin measuring angles with protractors, they need to have some experiences with benchmark angles. They transfer their understanding that a 360º rotation about a point makes a complete circle to recognize and sketch angles that measure approximately 90º and 180º. They extend this understanding and recognize and sketch angles that measure approximately 45º and 30º. They use appropriate terminology (acute, right, and obtuse) to describe angles and rays (perpendicular). Students should measure angles and sketch angles Fourth Grade - 2 nd Nine Weeks 12

13 As with all measureable attributes, students must first recognize the attribute of angle measure, and distinguish it from other attributes. As with other concepts students need varied examples and explicit discussions to avoid learning limited ideas about measuring angles (e.g., misconceptions that a right angle is an angle that points to the right, or two right angles represented with different orientations are not equal in measure). If examples and tasks are not varied, students can develop incomplete and inaccurate notions. For example, some students come to associate all slanted lines with 45º measures and horizontal and vertical lines with measures of 90º. Others believe angles can be slanted lines with 45º measures and horizontal and vertical lines with measures of 90º. Others believe angles can be read off a protractor in standard position, that is, a base is horizontal, even if neither ray of the angle is horizontal. Measuring and then sketching many angles with no horizontal or vertical ray, perhaps initially using circular 360º protractors, can help students avoid such limited conceptions. 4.MD.7 This standard addresses the idea of decomposing (breaking apart) an angle into smaller parts. A lawn water sprinkler rotates 65 degrees and then pauses. It then rotates an additional 25 degrees. What is the total degree of the water sprinkler rotation? To cover a full 360 degrees how many times will the water sprinkler need to be moved? If the water sprinkler rotates a total of 25 degrees then pauses. How many 25-degree cycles will it go through for the rotation to reach at least 90 degrees? If the two rays are perpendicular, what is the value of m? Vocabulary: rays, circular arc, center point, angle, vertex, end point, one degree angle, circle, measure angles, protractor, decompose, acute, obtuse, right, straight angle. Resources: Depth of Knowledge Fourth Grade - 2 nd Nine Weeks 13

14 envision Math 4.MD.5a Topic 16: Lines, Angles, and Shapes 16-3 Understanding Angles and Unit Angles 4.MD.5a DOK 1: Classify the following angles. What is the measurement of the shaded portion of the following angles? 4.MD.5b Topic 16: Lines, Angles, and Shapes 16-5 Measuring Angles 4.MD.6 Topic 16: Lines, Angles, and Shapes 16-5 Measuring Angles 4.MD. 7 Topic 16: Lines, Angles, and Shapes 16-6 Adding and Subtracting Angle Measures 4.MD.5b DOK 1: What is the measure of each angle of a yellow hexagon pattern block? 4.MD.6 DOK 1: Use a protractor to measure the following angle. 4.MD.7 DOK 1: Find the value of X. 4.MD.7 DOK 2: Construct a 90 angle and separate the angle into 2 smaller angles. Fourth Grade - 2 nd Nine Weeks 14

15 Grade Level: 4 Quarter: 2 nd Nine Weeks Domain: Geometry Standard Q1 Q2 Q3 Q4 4.G.1 X P R R 4.G.2 X P R R 4.G.3 X P R R Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles. Critical Areas: #1: No Connection #2: No Connection #3: Strong Connection #4: No Connection Grade Level Content Standard Mathematical Practice Standard 4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. 4.G.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. 4.G.3 Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and, draw lines of symmetry. MP.4. Model with mathematics. MP.7.Look for and make use of structure. Unpacked Content Standard: 4.G.1 This standard asks students to draw two dimensional geometric objects (points, lines, line segments, rays, angles [right, acute, obtuse], and perpendicular and parallel lines) and to also identify them in two dimensional figures. This is the first time that students are exposed to rays, angles, and perpendicular and parallel lines. Draw two different types of quadrilaterals that have two pairs of parallel sides. Is it possible to have an acute right triangle? Justify your reasoning using pictures and words. How many acute, obtuse and right angles are in this shape? Fourth Grade - 2 nd Nine Weeks 15

16 Draw and list the properties of a parallelogram. Draw and list the properties of a rectangle. How are your drawings and lists alike? How are they different? Be ready to share your thinking with the class. Figures from previous grades: polygon, rhombus/rhombi, rectangle, square, triangle, quadrilateral, pentagon, hexagon, trapezoid, half/quarter circle, circle 4.G.2 This standard calls for students to sort objects based on parallelism, perpendicularity and angle types. Do you agree with the label on each of the circles in the Venn diagram above? Describe why some shapes fall in the overlapping sections of the circles. Draw and name a figure that has two parallel sides and exactly 2 right angles. 4.G.3 This standard only includes line symmetry. For each figure, draw all of the lines of symmetry. What pattern do you notice? How many lines of symmetry do you think there would be for regular polygons with 9 and 11 sides. Sketch each figure and check your predictions. Polygons with an odd number of sides, such as a triangle and hexagon, have lines of symmetry that go from a midpoint of a side through a vertex. Vocabulary: acute angle, right angle, obtuse angle, points, lines, line segments, rays, perpendicular lines, right triangles, isosceles triangle, scalene Fourth Grade - 2 nd Nine Weeks 16

17 triangle, equilateral triangle, acute triangle, obtuse triangle, line of symmetry, line symmetrical figures, parallel lines, intersecting lines, polygon, vertex, side, quadrilateral, pentagon, octagon, hexagon, rhombus, trapezoid, parallelogram, rectangle, square, triangle Resources: Depth of Knowledge envision Math 4.G.1 Topic 16: Lines, Angles, and Shapes 16-1 Point, Lines, and Planes 16-2 Line Segments, Rays, and Angles 4.G.2 Topic 16: Lines, Angles, and Shapes 16-7 Polygons 16-8 Triangles 16-9 Quadrilaterals Problem Solving: Make and Test Generalizations 4.G.3 Topic 16: Lines, Angles, and Shapes Line Symmetry 4.G.1 DOK 1: Use the image below to answer the questions. 1. Name two parallel lines 2. Name two perpendicular lines 3. Name two lines that make a right angle 4. Name two intersecting lines 4.G.2 DOK 2: I am a polygon with four sides. I have one pair of parallel lines. I have two acute angles and two obtuse angles. What shape am I? Draw, name, and label the angles. 4.G.3 DOK 1: 4.G.3 DOK 2: Draw a figure with exactly two lines of symmetry. Fourth Grade - 2 nd Nine Weeks 17

### PENNSYLVANIA. List properties, classify, draw, and identify geometric figures in two dimensions.

Know: Understand: Do: CC.2.3.4.A.1 -- Draw lines and angles and identify these in two-dimensional figures. CC.2.3.4.A.2 -- Classify twodimensional figures by properties of their lines and angles. CC.2.3.4.A.3

### 4th Grade Emphasis Standards

PARCC Emphasis Standards References Module(s) Tested (Max. 2) Module(s) Taught NOT Tested (No Max.) NUMBER AND OPERATIONS IN BASE TEN OA 4.OA.1 4.OA.1 (A) 4.OA.1 (B) 4.OA.2 4.OA.2 (A) 4.OA.2 (B) Use the

### Second Quarter Benchmark Expectations for Units 3 and 4

Mastery Expectations For the Fourth Grade Curriculum In Fourth Grade, Everyday Mathematics focuses on procedures, concepts, and s in three critical areas: Understanding and fluency with multi-digit multiplication,

### 7 Days: August 17 August 27. Unit 1: Two-Dimensional Figures

1 st Trimester Operations and Algebraic Thinking (OA) Geometry (G) OA.3.5 G.1.1 G.1.2 G.1.3 Generate and analyze patterns. Generate a number or shape pattern that follows a given rule. Identify apparent

### Grade 4. COMMON CORE STATE STANDARDS FOR MATHEMATICS Correlations

COMMON CORE STATE STANDARDS FOR MATHEMATICS Standards for Mathematical Practices CC.K 12.MP.1 Make sense of problems and persevere in solving them. In most Student Edition lessons. Some examples are: 50

### Grade 4 Mathematics Indiana Academic Standards Crosswalk

Grade 4 Mathematics Indiana Academic Standards Crosswalk 2014 2015 The Process Standards demonstrate the ways in which students should develop conceptual understanding of mathematical content and the ways

### GRADE 4. M : Solve division problems without remainders. M : Recall basic addition, subtraction, and multiplication facts.

GRADE 4 Students will: Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as

### GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: Read (in standard form) whole numbers. whole numbers Equivalent Whole Numbers

CRAWFORDSVILLE COMMUNITY SCHOOL CORPORATION 1 GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: 2019 2020 GRADING PERIOD: QUARTER 1 MASTER COPY 1 20 19 NUMBER SENSE Whole Numbers 4.NS.1: Read and write whole

### 4th Grade Mathematics Mathematics CC

Course Description In Grade 4, instructional time should focus on five critical areas: (1) attaining fluency with multi-digit multiplication, and developing understanding of dividing to find quotients

### Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics F-H Approximately 14 days Begin around January 9 th

HIGLEY UNIFIED SCHOOL DISTRICT 2016/2017 INSTRUCTIONAL ALIGNMENT Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics F-H Approximately 14 days Begin around January

### Common Core State Standards Pacing Guide 1 st Edition. Math

Common Core State Standards Pacing Guide 1 st Edition Math Fifth Grade 3 rd Nine Week Period 1 st Edition Developed by: Jennifer Trantham, Laura Michalik, Mari Rincon ``````````````````````````````````````````````````````````````````````````````````````

### For more information on the Common Core State Standards, visit Beast Academy Grade 4 Chapters 1-12:

Beast Academy Scope and Sequence for Grade 4 (books 4A through 4D). The content covered in Beast Academy Grade 4 is loosely based on the standards created by the Common Core State Standards Initiative.

### GREATER CLARK COUNTY SCHOOLS PACING GUIDE. Grade 4 Mathematics GREATER CLARK COUNTY SCHOOLS

GREATER CLARK COUNTY SCHOOLS PACING GUIDE Grade 4 Mathematics 2014-2015 GREATER CLARK COUNTY SCHOOLS ANNUAL PACING GUIDE Learning Old Format New Format Q1LC1 4.NBT.1, 4.NBT.2, 4.NBT.3, (4.1.1, 4.1.2,

### 2011 Iredell Statesville Schools 4 th Grade Mathematics 1

2011 Iredell Statesville Schools 4 th Grade Mathematics 1 Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 4.OA.1 Interpret a multiplication equation as a

### Grade 4 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print

Standards PLUS Flexible Supplemental K-8 ELA & Math Online & Print Grade 4 SAMPLER Mathematics EL Strategies DOK 1-4 RTI Tiers 1-3 15-20 Minute Lessons Assessments Consistent with CA Testing Technology

### Northern York County School District Curriculum

Northern York County School District Curriculum Course Name Grade Level Mathematics Fourth grade Unit 1 Number and Operations Base Ten Time Frame 4-5 Weeks PA Common Core Standard (Descriptor) (Grades

### Measurement and Data Core Guide Grade 4

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit (Standards 4.MD.1 2) Standard 4.MD.1 Know relative sizes of measurement units within each system

### I can use the four operations (+, -, x, ) to help me understand math.

I Can Common Core! 4 th Grade Math I can use the four operations (+, -, x, ) to help me understand math. Page 1 I can understand that multiplication fact problems can be seen as comparisons of groups (e.g.,

### Georgia Department of Education

Fourth Grade 4.NOP.1 Multiplication and division; Find the factor pairs for a given whole number less than or equal to 100; recognize prime numbers as numbers greater than 1 with exactly one factor pair.

### Angle Measure and Plane Figures

Grade 4 Module 4 Angle Measure and Plane Figures OVERVIEW This module introduces points, lines, line segments, rays, and angles, as well as the relationships between them. Students construct, recognize,

### Standards for Mathematical Practice

Common Core State Standards Mathematics Student: Teacher: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively Standards for Mathematical Practice 3. Construct

### Standard 4.G.1 4.G.2 5.G.3 5.G.4 4.MD.5

Draw and identify lines and angles, as well as classify shapes by properties of their lines and angles (Standards 4.G.1 3). Standard 4.G.1 Draw points, lines, line segments, rays, angles (right, acute,

### Pennsylvania System of School Assessment

Mathematics, Grade 04 Pennsylvania System of School Assessment The Assessment Anchors, as defined by the Eligible Content, are organized into cohesive blueprints, each structured with a common labeling

### BREATHITT COUNTY SCHOOLS 3 rd Grade Math Curriculum Map Week Standard Key Vocabulary Learning Target Resources Assessment

Number Operations/Fractions/Algebraic Expressions Week 1 Week 2 3.NBT.1: Use place value understanding to round whole numbers to the nearest 10 or 100. 3.NBT.2: Fluently add and subtract within 1000 using

### Content Area: Mathematics- 3 rd Grade

Unit: Operations and Algebraic Thinking Topic: Multiplication and Division Strategies Multiplication is grouping objects into sets which is a repeated form of addition. What are the different meanings

### Math Mammoth Grade 4. Class Description:

Math Mammoth Grade 4 Class Description: In the fourth grade, students focus on multi-digit multiplication and division, and a start to studying fractions and decimals, accompanied by studies in geometry

### 4 th Grade Mathematics Instructional Week 30 Geometry Concepts Paced Standards: 4.G.1: Identify, describe, and draw parallelograms, rhombuses, and

4 th Grade Mathematics Instructional Week 30 Geometry Concepts Paced Standards: 4.G.1: Identify, describe, and draw parallelograms, rhombuses, and trapezoids using appropriate tools (e.g., ruler, straightedge

### Problem of the Month: Between the Lines

Problem of the Month: Between the Lines Overview: In the Problem of the Month Between the Lines, students use polygons to solve problems involving area. The mathematical topics that underlie this POM are

### Elko County School District 5 th Grade Math Learning Targets

Elko County School District 5 th Grade Math Learning Targets Nevada Content Standard 1.0 Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms;

### Problem of the Month: Between the Lines

Problem of the Month: Between the Lines 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

### 4 th Grade Mathematics Learning Targets By Unit

INSTRUCTIONAL UNIT UNIT 1: WORKING WITH WHOLE NUMBERS UNIT 2: ESTIMATION AND NUMBER THEORY PSSA ELIGIBLE CONTENT M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,000,000),

### Singapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition "is a series of rigorous

Singapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition "is a series of rigorous elementary math textbooks and workbooks meant to be part of

### Third Grade Mathematics Scope and Sequence

Third Grade Mathematics Scope and Sequence Quarter 1 Domain Operations & Algebraic Thinking Numbers & Operation in Base Ten Standard 3.OA.1 Interpret products of whole numbers, e.g., interpret 5 x 7 as

### 1. Use the following directions to draw a figure in the box to the right. a. Draw two points: and. b. Use a straightedge to draw.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 1 Problem Set 4 Name Date 1. Use the following directions to draw a figure in the box to the right. a. Draw two points: and. b. Use a straightedge to draw.

### Mathematical Practices:

Content Area Mathematics Grade Level 4 th Grade Course Name/Course Code Standard Grade Level Expectations (GLE) GLE Code 1. Number Sense, Properties, and Operations 2. Patterns, Functions, and Algebraic

### Diocese of Erie Mathematics Curriculum Third Grade August 2012

Operations and Algebraic Thinking 3.OA Represent and solve problems involving multiplication and division 1 1. Interpret products of whole numbers. Interpret 5x7 as the total number of objects in 5 groups

### . line segment. 1. Draw a line segment to connect the word to its picture. ray. line. point. angle. 2. How is a line different from a line segment?

COMMON CORE MATHEMATICS CURRICULUM Lesson 1 Exit Ticket 4 1. Draw a line segment to connect the word to its picture. ray line. line segment point angle 2. How is a line different from a line segment? Lesson

### Second Quarter Benchmark Expectations for Units 3 and 4. Represent multiplication as equal groups with arrays.

Mastery Expectations For the Third Grade Curriculum In Third Grade, Everyday Mathematics focuses on procedures, concepts, and s in four critical areas: Understanding of division and strategies within 100.

### AGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School

AGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School Copyright 2008 Pearson Education, Inc. or its affiliate(s). All rights reserved AGS Math Algebra 2 Grade

### Contents TABLE OF CONTENTS Math Guide 6-72 Overview NTCM Standards (Grades 3-5) 4-5 Lessons and Terms Vocabulary Flash Cards 45-72

Contents shapes TABLE OF CONTENTS Math Guide 6-72 Overview 3 NTCM Standards (Grades 3-5) 4-5 Lessons and Terms Lesson 1: Introductory Activity 6-8 Lesson 2: Lines and Angles 9-12 Line and Angle Terms 11-12

### 1. Use the following directions to draw a figure in the box to the right. a. Draw two points: and. b. Use a straightedge to draw.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 1 Homework 4 Name Date 1. Use the following directions to draw a figure in the box to the right. a. Draw two points: and. b. Use a straightedge to draw. c.

### 4 th Grade Curriculum Map

4 th Grade Curriculum Map 2017-18 MONTH UNIT/ CONTENT CORE GOALS/SKILLS STANDARDS WRITTEN ASSESSMENTS ROUTINES RESOURCES VOCABULARY September Chapter 1 8 days NUMBERS AND OPERATIONS IN BASE TEN WORKING

### Standards for Mathematical Practice

Common Core State Standards Mathematics Student: Teacher: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively Standards for Mathematical Practice 3. Construct

### Kenmore-Town of Tonawanda UFSD. We educate, prepare, and inspire all students to achieve their highest potential

Kenmore-Town of Tonawanda UFSD We educate, prepare, and inspire all students to achieve their highest potential Grade 2 Module 8 Parent Handbook The materials contained within this packet have been taken

### Students will be able to:

GRADE 4 UNIT 5 MEASURE AND CLASSIFY GEOMETRIC FIGURES Established Goals: Standards 4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. 4.MD.5 Recognize angles as geometric

### xcvbnmqwertyuiopasdfghjklzxcvbnmqwertyuiopa Grade 2 Math Crook County School District # 1 Curriculum Guide

qwertyuiopasdfghjklzxcvbnmqwertyuiopasdfghjkl zxcvbnmqwertyuiopasdfghjklzxcvbnmqwertyuiop asdfghjklzxcvbnmqwertyuiopasdfghjklzxcvbnmq wertyuiopasdfghjklzxcvbnmqwertyuiopasdfghjklz Crook County School District

### AIMS Common Core Math Standards Alignment

AIMS Common Core Math Standards Alignment Third Grade Operations and Algebraic Thinking (3.OA) 1. Interpret products of whole numbers, e.g., interpret 5 7 as the total number of objects in 5 groups of

### COMMON CORE STATE STANDARDS FOR MATHEMATICS K-2 DOMAIN PROGRESSIONS

COMMON CORE STATE STANDARDS FOR MATHEMATICS K-2 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Domain: Counting and Cardinality Know number names and the count

### Grade 3: PA Academic Eligible Content and PA Common Core Crosswalk

Grade 3: PA Academic Eligible and PA Common Core Crosswalk Alignment of Eligible : More than Just The crosswalk below is designed to show the alignment between the PA Academic Standard Eligible and the

### Eureka Math. Grade 4, Module 4. Teacher Edition

A Story of Units Eureka Math Grade 4, Module 4 Teacher Edition Published by the non-profit Great Minds. Copyright 2015 Great Minds. No part of this work may be reproduced, sold, or commercialized, in whole

### Summer Solutions Common Core Mathematics 4. Common Core. Mathematics. Help Pages

4 Common Core Mathematics 63 Vocabulary Acute angle an angle measuring less than 90 Area the amount of space within a polygon; area is always measured in square units (feet 2, meters 2, ) Congruent figures

### Course: Math Grade: 7. Unit Plan: Geometry. Length of Unit:

Course: Math Grade: 7 Unit Plan: Geometry Length of Unit: Enduring Understanding(s): Geometry is found in the visual world in two and three dimension. We use geometry daily in problem solving. Essential

### NSCAS - Math Table of Specifications

NSCAS - Math Table of Specifications MA 3. MA 3.. NUMBER: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics

### Performance Assessment Task Quilt Making Grade 4. Common Core State Standards Math - Content Standards

Performance Assessment Task Quilt Making Grade 4 The task challenges a student to demonstrate understanding of concepts of 2-dimensional shapes and ir properties. A student must be able to use characteristics,

### Math + 4 (Red) SEMESTER 1. { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations

Math + 4 (Red) This research-based course focuses on computational fluency, conceptual understanding, and problem-solving. The engaging course features new graphics, learning tools, and games; adaptive

### 3.NBT NBT.2

Saxon Math 3 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

### AIMS Common Core Math Standards Alignment

AIMS Common Core Math Standards Alignment Third Grade Operations and Algebraic Thinking (.OA) 1. Interpret products of whole numbers, e.g., interpret 7 as the total number of objects in groups of 7 objects

### GRADE 3 TEKS ALIGNMENT CHART

GRADE 3 TEKS ALIGNMENT CHART TEKS 3.2.A compose and decompose numbers up to,000 as the sum of so many ten thousands, so many thousands, so many hundreds, so many tens, and so many ones using objects, pictorial

### 2011 Summer Math Packet Students entering Fifth Grade Math

Name 0 Summer Math Packet Students entering Fifth Grade Math Rachel Carson Elementary PACKET MUST INCLUDE COVER SHEET WITH THE FOLLOWING INFORMATION CLEARLY PRINTED Students Name (first & last) 0-0 Homeroom

### 2nd Grade Math Curriculum Map

Standards Quarter 1 2.OA.2. Fluently add and subtract within 20 using mental strategies.* By end of Grade 2, know from memory all sums of two one-digit numbers. 2.OA.3. Determine whether a group of objects

### Formative type assessment (i.e. windshield check, dry erase boards, exit tickets, multiple choice, journals, checklists, etc.

Jones County School District Assessment Blueprint 2013-2014 Grade/Subject Level: 3rd Grade Math Team Members: A. Mobley, K. Husser, R. Sims, S. Clark, K. Knight, J. Hall Creating Summative / District Benchmark

### OPERATIONS AND ALGEBRAIC THINKING NUMBER AND OPERATIONS IN BASE TEN NUMBER AND OPERATIONS: FRACTIONS

OPERATIONS AND ALGEBRAIC THINKING 003-249 REPRESENT AND SOLVE PROBLEMS INVOLVING MULTIPLICATION AND DIVISON UNDERSTAND PROPERTIES OF MULTIPLICATION AND THE RELATIONSHIP BETWEEN MULTIPLICATION AND DIVISION

### 7 Mathematics Curriculum

New York State Common Core 7 Mathematics Curriculum GRADE Table of Contents 1 Percent and Proportional Relationships GRADE 7 MODULE 4... 3 Topic A: Finding the Whole (7.RP.A.1, 7.RP.A.2c, 7.RP.A.3)...

### 3rd Grade Math Pacing Guide Unit 1 Board Approved: December 12, 2016

Unit 1 Board Approved: December 12, 2016 # CCSS Unit 1: Represent and solve problems involving multiplication and division September/October 31 Days Go Math Chapters Covered: Completed Student Learning

### First Grade Saxon Math Curriculum Guide Key Standards Addressed in Section

Sections and Lessons First Grade Saxon Math Curriculum Guide MAP September 15 26, 2014 Section 1: Lessons 1-10 Making Sets of Tens & Ones with Concrete Objects, Numerals, Comparing Numbers, Using Graphs

### 2.NBT.1 20) , 200, 300, 400, 500, 600, 700, 800, NBT.2

Saxon Math 2 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

### 3.OA.A- Represent and solve problems involving multiplication and division

MARYLAND COLLEGE AND CAREER READY STANDARDS-GRADE 3 OPERATIONS AND ALGEBRAIC THINKING 3.OA.A- Represent and solve problems involving multiplication and division 3.OA.A.1- Interpret products of whole numbers,

### Math Pacing Guide. 2 nd Grade

Unit 1: Extending Base 10 Understanding 5, 10 5 weeks Instructional Days August 8 September 9, 2016 Understand place value. MGSE2.NBT.1 Understand that the three digits of a three-digit number represent

### Grade 4 Math Unit 6: GEOMETRY. Standards Report. Student Name:

Grade 4 Math Unit 6: GEOMETRY Standards Report Student Name: Standards MGSE4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify

### Clarification of Standards for Parents Grade 3 Mathematics Unit 4

Clarification of Standards for Parents Grade 3 Mathematics Unit 4 Dear Parents, We want to make sure that you have an understanding of the mathematics your child will be learning this year. Below you will

### Big Ideas Math: A Common Core Curriculum Geometry 2015 Correlated to Common Core State Standards for High School Geometry

Common Core State s for High School Geometry Conceptual Category: Geometry Domain: The Number System G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment,

### Mathematics Grade 2. grade 2 17

Mathematics Grade 2 In Grade 2, instructional time should focus on four critical areas: (1) extending understanding of base-ten notation; (2) building fluency with addition and subtraction; (3) using standard

### Grade 2: Mathematics Curriculum (2010 Common Core) Warren Hills Cluster (K 8)

Focus Topic:OA Operations and Algebraic Thinking TSW = The Student Will TSW use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from,

### Summer Solutions Problem Solving Level 4. Level 4. Problem Solving. Help Pages

Level Problem Solving 6 General Terms acute angle an angle measuring less than 90 addend a number being added angle formed by two rays that share a common endpoint area the size of a surface; always expressed

### 4th Grade Mathematics

4th Grade Mathematics Unit 3 Curriculum Map: January 25 - April 12, 2018 ORANGE PUBLIC SCHOOLS OFFICE OF CURRICULUM AND INSTRUCTION OFFICE OF MATHEMATICS 1 2 Table of Contents I. Unit Overview/NJSLS/21

### Second Grade Mathematics Goals

Second Grade Mathematics Goals Operations & Algebraic Thinking 2.OA.1 within 100 to solve one- and twostep word problems involving situations of adding to, taking from, putting together, taking apart,

### Common Core State Standard I Can Statements 2 nd Grade

CCSS Key: Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) Measurement and Data (MD) Geometry (G) Common Core State Standard 2 nd Grade Common Core State Standards for Mathematics

### Objective: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure.

Lesson 10 Objective: Use the addition of adjacent angle measures to solve problems using a Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time

### Common Core State Standards for Mathematics

A Correlation of To the Common Core State Standards for Mathematics Table of Contents Operations and Algebraic Thinking... 1 Number and Operations in Base Ten... 2 Measurement and Data... 4 Geometry...

### Refer to Blackboard for Activities and/or Resources

Lafayette Parish School System Curriculum Map Mathematics: Grade 5 Unit 4: Properties in Geometry (LCC Unit 5) Time frame: 16 Instructional Days Assess2know Testing Date: March 23, 2012 Refer to Blackboard

### 7 th Grade Math Third Quarter Unit 4: Percent and Proportional Relationships (3 weeks) Topic A: Proportional Reasoning with Percents

HIGLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL ALIGNMENT 7 th Grade Math Third Quarter Unit 4: Percent and Proportional Relationships (3 weeks) Topic A: Proportional Reasoning with Percents In Unit 4, students

### 3rd Grade Math Unit 1 8/18. # of Days: 7. Assessment: Fluency with Addition & Subtraction 3.MD.A.1 MP 1, 2, 3, 4, 5, 6 3.MD.A.

Math Unit 1 # of Days: 7 8/18 Fluency with Addition & Subtraction. 3.MD.A.1 MP 1, 2, 3, 4, 5, 6 3.MD.A.2 MP 1, 2, 4, 5 3.NBT.A.2 3.OA.D.8 MP 1, 2, 3, 4, 5, 6 3.OA.D.9 MP 3, 6, 7, 8 3.MD.B.3 MP 2, 4 Tell

### 7 th grade Math Standards Priority Standard (Bold) Supporting Standard (Regular)

7 th grade Math Standards Priority Standard (Bold) Supporting Standard (Regular) Unit #1 7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;

### Madison County Schools Suggested 2 nd Grade Math Pacing Guide,

Madison County Schools Suggested 2 nd Grade Math Pacing Guide, 2016 2017 The following Standards have changes from the 2015-16 MS College- and Career-Readiness Standards: Significant Changes (ex: change

### MATHEMATICS UTAH CORE GUIDES GRADE 2

MATHEMATICS UTAH CORE GUIDES GRADE 2 UTAH STATE BOARD OF EDUCATION 250 EAST 500 SOUTH P.O. BOX 144200 SALT LAKE CITY, UTAH 84114-4200 SYDNEE DICKSON, Ed.D., STATE SUPERINTENDENT OF PUBLIC INSTRUCTION Operations

### 2 nd Grade Standards Guide

2 nd Grade Standards Guide Table of Contents Content Page Number Overview to the Math Standards Guide 2-3 Geometry 4 Measurement & Data 4-5 Number & Operations in Base Ten 5-6 Operations & Algebraic Thinking

### CCGPS Frameworks Mathematics

CCGPS Frameworks Mathematics Fourth Grade Geometry Unit 6: GEOMETRY TABLE OF CONTENTS Overview...3 Standards For Mathematical Content...4 Standards For Mathematical Practice...5 Enduring Understandings...5

### Squares Multiplication Facts: Square Numbers

LESSON 61 page 328 Squares Multiplication Facts: Square Numbers Name Teacher Notes: Introduce Hint #21 Multiplication/ Division Fact Families. Review Multiplication Table on page 5 and Quadrilaterals on

### Learning Experience: Angle Circles. When planning, include the following: Models (Concrete Semi-Concrete Semi-Abstract Abstract) Problems/Situations

Learning Experience: Angle Circles When planning, include the following: Models (Concrete Semi-Concrete Semi-Abstract Abstract) Problems/Situations Questions AKS: 40.MD.5 recognize angles as geometric

### CTB/McGraw-Hill. Math Quarter 2: Week 5: Mixed Review Test ID:

Page 1 of 35 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. All rights reserved. Only authorized customers

### Write numbers to 100,000 in standard form, word form, and expanded form

4 th Grade Math in Focus Chapter 1-Working with Whole to 100,000 Comparing to 100,000 Adding and Multi-Digit Write numbers to 100,000 in standard form, word form, and expanded form Compare and order numbers

### Problem of the Month What s Your Angle?

Problem of the Month What s Your Angle? Overview: In the Problem of the Month What s Your Angle?, students use geometric reasoning to solve problems involving two dimensional objects and angle measurements.

### ISBN Copyright 2015 The Continental Press, Inc.

Table of COntents Introduction 3 Format of Books 4 Suggestions for Use 7 Annotated Answer Key and Extension Activities 9 Reproducible Tool Set 175 ISBN 978-0-8454-8768-6 Copyright 2015 The Continental

### Mathematics Expectations Page 1 Grade 04

Mathematics Expectations Page 1 Problem Solving Mathematical Process Expectations 4m1 develop, select, and apply problem-solving strategies as they pose and solve problems and conduct investigations, to

### *Unit 1 Constructions and Transformations

*Unit 1 Constructions and Transformations Content Area: Mathematics Course(s): Geometry CP, Geometry Honors Time Period: September Length: 10 blocks Status: Published Transfer Skills Previous coursework:

### A portfolio of counter-examples

A portfolio of counter-examples With answers Consider each of the following claims. All of them are false, and most are based on common misconceptions. Devise a counter example to show the claim is false.

### Unit 1 Foundations of Geometry: Vocabulary, Reasoning and Tools

Number of Days: 34 9/5/17-10/20/17 Unit Goals Stage 1 Unit Description: Using building blocks from Algebra 1, students will use a variety of tools and techniques to construct, understand, and prove geometric

### Grade 2 Mathematics Scope and Sequence

Grade 2 Mathematics Scope and Sequence Common Core Standards 2.OA.1 I Can Statements Curriculum Materials & (Knowledge & Skills) Resources /Comments Sums and Differences to 20: (Module 1 Engage NY) 100