PLACENTIA-YORBA LINDA UNIFIED SCHOOL DISTRICT. Math Scope and Sequence. Fourth Grade

Transcription

1 PLACENTIA-YORBA LINDA UNIFIED SCHOOL DISTRICT Math Scope and Sequence Fourth Grade

2 Placentia-Yorba Linda Unified School District Math Sequencing FOURTH GRADE This timeline provides a guide to assist you in your pacing of instruction, as well as the reordering of chapters to assure that certain concepts are taught prior to standardized testing. Based on teacher feedback, changes were made to last year s pacing chart, though much of the timeline remains the same. You will find that Chapter 10 (Geometry) now follows Chapter 8 (Decimals) in order to cover the material before standardized testing. It is possible that Chapter 6 (Measurement and Negative Numbers) and Chapter 11(Graphing and Algebra) will be taught after testing; however, the basic concepts should be introduced before testing. Chapter 9 (Statistics and Probability) and Chapter 12 (Division by Two-Digit Divisors) go beyond the fourth grade standards and, therefore, have been placed at the end of the year. Recommendations (use the following): Mad Minutes Bellwork Mountain Math Algebra Puzzles and Problems (Groundworks) (This is a worksheet and/or test generator independent of Houghton ) HM Mathematics California s-based Assessment at the beginning of the year, give the 3 rd grade End-of-Year test to evaluate students abilities. HM Mathematics California s-based Assessment give Trimester tests after Chapters 4, 8, and 12 to assess students progress. Math Steps see Teachers Manual for referenced pages. HM Mathematics Problem Solving for Advanced Learners (Enrichment Logical Reasoning) When you are using this timeline as a planning guide, please keep in mind that a range was given for instruction time. If more than the maximum time noted is spent on each chapter, you will not complete the necessary concepts prior to testing. Concept presentation needs to be adapted to the needs of your students, yet allotted time needs to be adjusted so all key concepts are taught prior to the testing in Spring.

3 Placentia-Yorba Linda Unified School District FOURTH GRADE Timeline Description Houghton- 4 weeks, if started in first week of school Price Value and Money Read, write, and identify place value of a digit through millions Compare, order, and round numbers Money (comparing amounts and making change) NOTE: Lesson 11 Making Change, extends the standards. Begin Mad Minutes or other timed tests Chapter 1 Lessons 1-4 NS 1.0, 1.3; MR 1.0, 1.1, 2.0, 2.3, 2.4 Lessons 5-9 NS 1.0, 1.1, 1.2, 1.3; MR 1.0, 1.1, 2.0, 2.3, , 3.2; AF 1.0 Lessons NS 1.2; MR 1.0, 1.1, 1.2, 2.0, 3.0, 3.2 teacher s 4 weeks Addition and Subtraction Properties of addition Add/Subtract up to five-digit numbers; estimate sums and differences Write expressions and equations use addition/subtraction to evaluate/solve Lessons 1-7 review addition and subtraction move quickly through these lessons. Spend more time on Lessons 8-13, introducing algebraic equations. Chapter 2 Lessons 1-7 NS 1.3, 1.4, 2.1, 2.2, 3.0, 3.1 MR 1.0, 1.1, 2.0, 2.1, 2.3, 2.4, 3.0, 3.2 AF 1.0, 1.1, 1.2, 1.3, 1.4 Lessons , 2.6, 3.0, 3.1 AF 1.0, 1.1, 1.2, 1.3, 1.5, 2.0, 2.1 SDP 1.3 teachers Pg (Lesson 10,11 Pg (Lesson 9) Pg (Lesson 2, 12)

4 4 weeks Relation Multiplication and Division Basic multiplication and division facts (including properties) Writing, solving and evaluating equations involving multiplication and division. Two-step functions (equations with two variables) As with addition/subtraction, if students have multiplication/division facts mastered, spend the time of Lessons which apply these skills algebraically. Chapter 3 Lessons 1-3 NS 3.0 MR 1.1, 2.3, 2.4 AF 1.0, 1.1 Lessons 4-9 NS 3.0, , 3.0, 3.2 AF 1.0,1;1 Lessons , 2.6, 3.0, 3.2, 3.3 AF 1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 2.0, 2.2 teachers Pg (Lesson 11, 13, 14) Pg (Lesson 10) Pg (Lesson 14) 4 weeks Multiplication of Whole Numbers Multiply up to four-digit numbers by one digit numbers. Multiply up to three-digit numbers by two-digit numbers. Brief review of multi-digit by single digit, Lessons 1-9 It was on the 3 rd grade math mastery. Lessons are really the meat of the chapter. Chapter 4 Lessons 1-5 NS 1.3, , 2.5, 3.0, 3.2 AF 1.1, 1.2 Lessons 6-9 NS 1.2, 3.0 MR 1.0, 2.0, 2.1, 3.0, 3.2 AF 1.0 Lessons NS 1.2, 3.0, 3.2, 3.3 MR 1.0, 1.1, 1.2, 2.0, 3.0, 3.3 AF 1.0, 1.1, 1.2 teachers Pg (Lesson 13)

5 5 weeks One-digit Divisors Divide up to four-digit dividends with up to four-digit quotients (Lessons 1-10) Apply division to other math ideas, including divisibility rules, prime/composite numbers, and finding the average (Lessons 11-14) Lessons 15 and 16 deal with estimating and dividing larger numbers. Lessons 2 and 3 can be combined Be sure to do Factor Trees with Prime numbers it is included as an enrichment activity on P. 273, but should not be skipped Chapter 5 Lessons 1-4 NS 1.4, 3.0, 3.2, 3.4 MR 1.0, 2.0, 2.4, 2.6, 3.0, 3.1, 3.2, 3.3 AF 1.0, 1.1, 1.5 Lessons 5-10 NS 3.0, 3.2, 3.4 MR 1.0, 1.1, 1.2, 2.0, 2.4, 2.6, 3.0, 3.1, 3.2 Lessons NS 3.0, 3.2, 3.4, 4.1, 4.2 MR 1.0, 1.2, 2.0, 2.1, 2.3, 2.4, 2.6, 3.0, 3.1, 3.2, 3.3 AF 1.0, 1.1, 1.2 teachers Pg (Lesson 10) 4 weeks Fractions and Mixed Numbers Represent a fraction of a region, of a set, and of a number; write mixed numbers Find equivalent fractions Compare and order fractions Add and subtract fractions with like denominators. Vocabulary is very important during this chapter. Chapter 7 Lessons 1-5 NS 1.0, 1.5, 1.7, 1.9 AF , 3.2 Lessons 6-8 NS 1.5, 1.9 AF 1.0, 1.1 MR 1.0, 2.0, 2.3, 2.4, 3.2, 3.3 Lessons 9-11 NS 2.1 AF teachers Pg

6 2 weeks Decimals Write fractions and mixed numbers as decimals and vice-versa Compare and order fractions, mixed numbers, and decimals Add and subtract decimals Round decimals and estimate sums and differences of decimals 3 weeks Geometry Identify plane and solid geometric figures. Identify congruent figures and figures with line and rotational symmetry Find perimeter and area Find the surface area and volume of a rectangular prism Many elements of this chapter will have been touched upon throughout the year during Mountain Math Chapter 11 (Lessons 1-4) should be taught prior to standardized testing Chapter 8 Lessons 1-6 NS 1.0, 1.2, 1.5, 1.6, 1.7, 1.9 AF 1.0, 2.2 MR 1.0, 1.1, 2.3, 3.0, 3.2 Lessons 7-11 NS 2.0, 2.1, , 2.6, 3.0, 3.2 Chapter 10 Lessons 1-5 AF 1.4 MG 3.0, 3.1, 3.2, 3.5, 3.7, 3.8 MR 1.1, 2.3, 2.4 Lessons 6-8 MG 3.0, 3.3, 3.4, 3.8 MR 1.1, 2.0, 2.3, 2.4, 3.0, 3.2, 3.3 Lessons 9-12 AF 1.0, 1.2, 1.4 MG 1.0, 1.1, 1.2, 1.3, 1.4, , 3.0, 3.2 Lessons AF 1.4 MG 1.0, 1.1, 1.4, 3.0, 3.6 MR 1.0, 1.2, 2.1, 2.3, 3.0, 3.2 Chapter 11 (Introduction) Chapter 11 Lessons 1-4 SDP 1.3 MGB 2.0, 2.1 MR 1.0, 2.0, 2.3, 2.4, 3.0, 3.2 teachers teachers

7 2 weeks Measurement and Negative Numbers Measure lengths and find perimeters, using customary and metric units Capacity and weight/mass both customary and metric Fahrenheit/Celsius, with a focus on negative numbers Chapter 6 Lessons 1-4 NS 1.4, 3.3, , 2.5, 3.0, 3.2 AF 1.4 MG 1.0, 1.4 Lessons 5-8 NS 1.4, 3.3, , 2.5, 3.0, 3.2 AF 1.4 MG 1.0, 1.4 Lessons 9-11 NS , 3.0, 3.3 teachers 3 weeks Graphing and Algebra Locate, identify, and graph points on a coordinate plane and find the distance between two points Graph lines The more important Lessons 1-4 should be taught before standardized testing Chapter 11 Lessons 1-4 SDP 1.3 MGB 2.0, 2.1 MR 1.0, 2.0, 2.3, 2.4, 3.0, 3.2 Lessons 5-10 NS 1.8 AF 1.0, 1.1 MG 2.0, 2.2, 2.3 SDP 1.1, 1.3 MR 1.0, 2.0, 2.3, 3.0, 3.2, 3.3 teacher

8 Statistics and Probability Find mean, median, and mode Make, read, and interpret a bar graph Read a line graph Describe the probability of an event and determine the number of possible outcomes in an experiment. Hands-on projects with students collecting and interpreting data are suggested. Much of this chapter can be covered in social studies and science teach the concepts that remain. You may not have time to each all the lessons in this chapter. Division by Two-Digit Divisors Divide by multiples of 10 Divide and estimate quotients with two-, three-, and four-digit dividends with one- and two-digit quotients. Chapter 9 Lessons 1-6, 1.1, 1.2, 1.3 MR 1.1, 2.3, 2.4 Lessons 7-11 AF 1.1, 1.2, 1.1, 1.3, 2.0, 2.1, 2.2 MR 2.0, 2.3, 2.4 Chapter 12 Lessons 1-4 NS 3.0 AF 1.0, , 3.2 Lessons 5-9 NS 3.0 MG 2.2,2.3 MR 1.0, 1.1, 1.2, 2.0, 2.2, 2.3, 2.4, 3.0, 3.2 teachers Pg (Lesson 4,5) teachers s: NS Number Sense AF Algebra and Functions MG Measurement and Geometry MR Mathematical Reasoning SDP Statistics, Data Analysis, & Probability