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Math Pacing Calendar - June 2020

Prepared by Mr. John Xia at the SEEALL Academy (I.S./P.S.180K)

Math Pacing Calendar - May 2020

Prepared by Mr. John Xia at the SEEALL Academy (I.S./P.S.180K)

Math Pacing Calendar - April 2020

Prepared by Mr. John Xia at the SEEALL Academy (I.S./P.S.180K)

Math Pacing Calendar - March 2020 - UPDATED

Prepared by Mr. John Xia at the SEEALL Academy (I.S./P.S.180K)

 Day/Date Lesson Syllabus Homework Mon. 3/2 19-3.   Solve an equation in the form of px = q using the inverse of multiplication to isolate the variable. pp. 207-8 Tues. 3/3 19-4.   Practice solving equations using inverse operations of addition, subtraction, multiplication and division with and without guidance. pp. 209-12 Wed. 3/4 19-5.   Review and Quiz: Solving Equations pp. 213-4 Thurs. 3/5 20-1.   Understand inequalities with four symbols, relate them to equations in similarities and differences. pp. 215-6 Fri. 3/6 20-2.   Write and solve inequalities with inequality graphs using arrows in opposite directions, shaded lines, and open and closed circles. pp. 217-8 Mon. 3/9 20-3.   Practice writing, graphing, and solving more inequalities problems that might appear on a mathematical test, with and without guidance. pp. 219-20 Tues. 3/10 20-4.   Review and Quiz: Solving Inequalities pp. 221-4 Wed. 3/11 21-1.   Explore equations with dependent and independent variables using a table of values of tickets purchased and total cost. pp. 225-5 Thurs. 3/12 21-2.   Explore how a value table, graph, and equation are all related in describing dependent and independent variables relationship. pp. 227-8 Fri. 3/13 21-3.   Practice representing a problem with an equation, a table, and a graph to solve word problems that might appear on a mathematical test, and relating variables in pairs or on our own with and without guidance. pp. 229-32 Mon. 3/16 SCHOOL CLOSED Tues. 3/17 SCHOOL CLOSED Wed. 3/18 SCHOOL CLOSED Thurs. 3/19 SCHOOL CLOSED Fri. 3/20 SCHOOL CLOSED Mon. 3/23 Review Lesson 21 Homework Package, pp. 252-232, which is attached in Google Classroom as HWL21.pdf, to make sure all questions are done for Lesson 21 Quiz. Continue on Class work. Tues. 3/24 Lesson 21 Review and Quiz: Dependent and Independent Variables Continue on Class work. Wed. 3/25 Review Lesson 21 Quiz, which is graded and returned to you. Make sure you now understand all the quiz questions. Continue on Class work. Thurs. 3/26 Review Lessons 15-21 for Unit 3 Test: Expressions and Equations Continue on Class work. Fri. 3/27 Unit 3 New York State Interim Assessment, attached here as Unit3test.pdf. Continue on Class work. Mon. 3/30 Review the graded and returned Unit 3 Assessment Preview Lessen 22, Area of Polygons,   https://cainc.iready.com/lessonPreview.jsf?componentId=DI.MATH.GEO.5.1000.10.v2.v2&sc=q Continue on Class work. Tues. 3/31 Today, we'll watch a tutorial video clip for Concepts of Area and Perimeter, https://cainc.i-ready.com/lessonPreview.jsf?componentId=DI.MATH.GE.6.0022.phx.10&sc=q, about 14 minutes. As a follow-up to the tutorial video, we'll read pp.220-221, Textbook, and pp.247-248, Homework Book. Both are attached here as TX22 and HW22.  1. #1, page 221, Textbook. 2. #5, page 248, Homework Book. 3. #6, page 248, Homework Book. Extra Credit/Challenge: #7, page 248, Homework Book. Continue on       Class work.

Math Pacing Calendar - March 2020

Prepared by Mr. John Xia at the SEEALL Academy (I.S./P.S.180K)

 Day/Date Lesson Syllabus Homework Mon. 3/2 19-3.   Solve an equation in the form of px = q using the inverse of multiplication to isolate the variable. pp. 207-8 Tues. 3/3 19-4.   Practice solving equations using inverse operations of addition, subtraction, multiplication and division with and without guidance. pp. 209-12 Wed. 3/4 19-5.   Review and Quiz: Solving Equations pp. 213-4 Thurs. 3/5 20-1.   Understand inequalities with four symbols, relate them to equations in similarities and differences. pp. 215-6 Fri. 3/6 20-2.   Write and solve inequalities with inequality graphs using arrows in opposite directions, shaded lines, and open and closed circles. pp. 217-8 Mon. 3/9 20-3.   Practice writing, graphing, and solving more inequalities problems that might appear on a mathematical test, with and without guidance. pp. 219-20 Tues. 3/10 20-4.   Review and Quiz: Solving Inequalities pp. 221-4 Wed. 3/11 21-1.   Explore equations with dependent and independent variables using a table of values of tickets purchased and total cost. pp. 225-5 Thurs. 3/12 21-2.   Explore how a value table, graph, and equation are all related in describing dependent and independent variables relationship. pp. 227-8 Fri. 3/13 21-3.   Practice representing a problem with an equation, a table, and a graph to solve word problems that might appear on a mathematical test, and relating variables in pairs or on our own with and without guidance. pp. 229-32 Mon. 3/16 21-4.   Lesson Review and Quiz: Dependent and Independent Variables pp. 237-40 Tues. 3/17 Unit 3 Assessment: Expressions, Variables, Equations and Inequalities pp. 241-4 Wed. 3/18 22-1.   Explore finding area of polygons to relate equations to geometry formulas with a focus on area of different type of triangles using the same formula of a = ½ bh, where a stands for area, b for base or width or length, and h for height. pp. 245-8 Thurs. 3/19 22-2.   Explore a method for finding the area of a trapezoid and an irregular polygon. pp. 249-50 Fri. 3/20 22-3.   Explore how to find the area of a figure by decomposing the figure into triangles and parallelograms. pp. 251-2 Mon. 3/23 22-4.   Review and Quiz: Area of Polygons pp. 253-4 Tues. 3/24 23-1. Analyze plane figures in the coordinate plane; review concepts and vocabulary helpful for investigating polygons on a coordinate plane; use what we know about rectangles and coordinates to find missing coordinate and dimensions; use our understanding of coordinates and polygons to solve problems. pp. 257-60 Wed. 3/25 State ELA Exam Day One Thurs. 3/26 State ELA Exam Day Two Fri. 3/27 23-2.   Explore how to find the area of a polygon on a coordinate plane; explain how to solve the problem using our understanding of polygons on a coordinate plane; study a model and then use it solve problems involving polygons in the coordinate plane; use a coordinate plane to solve word problems involving area and perimeter. pp. 261-4 Mon. 3/30 23-3.   Review and Quiz: Polygons in the Coordinate Plane pp. 265-6 Tues. 3/31 24-1: Examine how 3-dimensional figures can be unfolded into 2-dimensional flat surfaces called nets; explore finding the surface area of a figure by adding the areas of the faces in the net; examine a face area table; then learn how to find the surface area of a rectangular prism by adding the areas of the faces. pp.267-70

Math Pacing Calendar - February 2020

Prepared by Mr. John Xia at the SEEALL Academy (I.S./P.S.180K)

 Day/Date Lesson Syllabus Homework Mon. 2/3 16-3.   Explore ways to evaluate expressions with variables, and solve problems by writing and evaluating expressions. pp. 175-6 Tues. 2/4 16-4.   Practice in pairs or on our own in evaluating and writing algebraic expressions to solve word problems that might appear on a mathematical test. pp. 177-80 Wed. 2/5 16-5.   Review and Quiz for Lesson 16 Algebraic Expressions Handout Thurs. 2/6 17-1.   Explore the usage of the commutative, associative and distributive properties in writing equivalent expressions, or the expressions with the equal value. pp. 181-4 Fri. 2/7 17-2.   Write equivalent expressions with variables by modeling with pictures and math tiles; and identifying like terms. pp. 185-6 Mon. 2/10 17-3.   Use distributive property and area models to compare and write equivalent expressions involving variables. pp. 187-8 Tues. 2/11 17-4.   Practice in pairs or on our own to prove the equivalency of expressions using models, substitution, and mathematical properties, and solve problems that might appear on a mathematical test. pp. 189-92 Wed. 2/12 17-5.   Review and Quiz for Lesson 17 Equivalent Expressions pp. 193-4 Thurs. 2/13 18-1.   Explore the meaning of solving equations using a pan balance to develop the concept of equality, and equivalent expressions as a way of solving equations. pp. 195-6 Fri. 2/14 18-2.   Use bar models to write and solve equations to solve word problems, and practice with and without guidance. pp. 197-8 Mon. 2/24 18-3.   Review and Quiz for Lesson 18 Understand Solutions to Equations pp. 199-202 Tues. 2/25 ELA Triannual Exam #3 Wed. 2/26 Math Triannual Exam #3 Thurs.  2/27 19-1.   Learn about using inverse operations in addition to pan balance model to isolate a variable in solving equations. pp. 203-4 Fri. 2/28 19-2.   Write an equation of the form x – p = q to represent a block and pan balance problem, and solve it using inverse operations. pp. 205-6

Math Pacing Calendar - January 2020

Prepared by Mr. John Xia

 Day/Date Syllabus of the Lesson HW Thurs. 1/2 Revisit Independent Practice: Dividing Multi-Digit Numbers and Fractions Handout Fri. 1/3 Revisit Independent Practice:  Add and Subtract Decimals Handout Mon. 1/6 Revisit Independent Practice:  Multiply and Divide Decimals Handout Tues. 1/7 Revisit Independent Practice: GCF and LCM Handout Wed. 1/8 Revisit Independent Practice:  Positive and Negative Numbers Handout Thurs.1/9 Revisit Independent Practice: Absolute Values and Rational Numbers Handout Fri. 1/10 Revisit Independent Practice: The Coordinate Plane Handout Mon. 1/13 Revisit Independent Practice:  Ratios and Equivalent Ratios Handout Tues. 1/14 Revisit Independent Practice:  Rates and Unit Rates Handout Wed. 1/15 Revisit Independent Practice:  Solving Percent Problems Thurs. 1/16 Tri-annual Test #2 (Mock Test) Review: 30 Multiple-Choice Questions, Part One Handout Fri. 1/17 Tri-annual Test #2 (Mock Test) Review: 30 Multiple-Choice Questions, Part Two Handout Tues. 1/21 Tri-annual Test #2 (Mock Test) Review, Open-Response Questions, Part One Handout Wed. 1/22 Tri-annual Test #2 (Mock Test) Review, Open-Response Questions, Part Two Handout Thurs. 1/23 15-1.   Understand numerical expressions with exponents as a shorter or simplified way for repeated multiplication, in which the number being multiplied by itself is called the base, and the raised number showing how many times the base is multiplied is the exponents. pp. 159-62 Fri. 1/24 15-2.   Use a step-by-step table and repeated multiplication chart to evaluate and write numerical expressions with exponents to solve a real-world problem. pp. 163-4 Mon. 1/27 15-3.   Use order of operations in evaluating numerical expressions with whole-number exponents. pp. 165-6 Tues. 1/28 15-4.   Practice in pairs or on our own in evaluating expressions with powers of whole-number exponents to solve word problems that might appear on a mathematical test. pp. 167-8 Wed. 1/29 15-5.   Review and Quiz for Lesson 15 Numerical Expressions with Exponents Handout Thurs.1/30 16-1.   Understand a variable as a letter for an unknown number, a constant as a known number, and a coefficient as a number factor in variable term. Terms in algebraic expressions are separated with addition and/or subtraction signs. pp. 169-72 Fri. 1/31 16-2.   Explore ways to write expressions using numbers, variables, and operational symbols from verbal descriptions, identify parts of an expression and write an expression from words. pp. 173-4

Math Pacing Calendar - December 2019

Prepared by Mr. John Xia

 Day/Date Syllabus of the Lesson HW Mon. 12/2 12-2.   Review and Quiz for Lesson 12 Understand Positive and Negative Numbers pp. 133-4 Tues. 12/3 13-1.   Use a vertical number line to visualize the distance of a point from 0; then relate the distance from zero to the absolute value of a number; Use number lines to solve problems involving comparing rational numbers and their absolute values; then solve word problems that might appear on a mathematical test. pp. 135-6 Wed. 12/4 13-2.  Review and Quiz for Lesson 13 Absolute Value and Ordering Numbers pp. 145-6 Thurs. 12/5 14-1.   Use coordinates to locate points on a coordinate plane; then learn about the quadrants of a coordinate plane and use them to describe the location of points; Explore the changes in the coordinates of a figure when it is reflected across the x- and y-axes; then learn how coordinates change when figures are reflected across the x- and y-axes. pp. 147-8 Fri. 12/6 14-2.  Review and Quiz for Lesson 14 The Coordinate Plane pp. 151-2 Mon. 12/9 ELA Midterm Day One Tues. 12/10 ELA Midterm Day Two Wed. 12/11 Unit 2 Review and Assessment: The Number System pp.155-8 Thurs. 12/12 Math Midterm Day One Fri. 12/13 Math Midterm Day Two Mon. 12/16 Lesson 10 Re-catch:  Multiply and Divide Decimals Multiply decimals as we multiple whole numbers before setting decimal point; Divide decimals as whole numbers after removing the decimal point in the divisor. pp. 103-4 Tues. 12/17 Lesson 11 Re-catch: GCF and LCM Greatest common factor is used for locating “Maximum” while least common multiple is for “Minimum”. pp. 113-4 Wed. 12/18 Lesson 12 Re-catch: Positive and Negative Numbers Three focuses for positive and negative numbers: elevations, temperatures, and banking balances pp. 125-6 Thurs. 12/19 Lesson 13 Re-catch: Rational Numbers Integers are positive and negative whole numbers and zero, while most positive and negative fractions and decimals are rational numbers; use a number line to order and compare rational numbers the way we do with integers. pp. 131-2 Fri. 12/20 Lesson 14 Re-catch: Coordinate Plane Locations on four quadrants, changed location, and reflections. pp. 143-4

Math Pacing Calendar - November 2019

Prepared by Mr. John Xia

 Day/Date Syllabus of the Lesson HW Fri. 11/1 7-2.   Explore how to divide a whole number by a fraction using a bar picture and by modeling the problem using words and an equation. pp. 67-8 Mon. 11/4 7-3.   Explore how to divide a fraction by a fraction using a double number line and by modeling the problem using words and an equation. pp. 69-70 Wed. 11/6 7-4.   Explore how to divide a mixed number by a fraction using bar pictures and by modeling the problem using words and an equation. pp. 71-2 Thurs. 11/7 7-5.   Practice solving problems that require dividing a whole number by a fraction, dividing a fraction by a fraction, and dividing a mixed number by a fraction that might appear on a mathematics test. pp. 73-4 Fri. 11/8 7-6.   Review and Quiz for Lesson 7 Divide with Fractions pp. 75-6 Tues. 11/12 8-1.   Use a bar model to solve a division word problem, and use partial quotients and the division algorithm to solve the problem. pp. 77-8 Wed. 11/13 8-2.   Use partial quotients and the division algorithm to solve a problem, then compare the two methods used, and solve two additional problems. pp. 79-80 Thurs. 11/14 8-3.   Explore dividing a 5-digit dividend by a 2-digit divisor, explore the connection between division and multiplication. pp. 81-2 Fri. 11/15 8-4.   Use the standard division algorithm or partial quotients to solve more word problems that might appear on a mathematics test. pp. 83-4 Mon. 11/18 8-5.   Review and Quiz for Lesson 8 Dividing with 5-Digit Dividends pp. 85-6 Tues. 11/19 9-1.   Use estimation to add decimals and check if the estimated sum is reasonable, then use place-value charts to review the addition of decimals. pp. 87-8 Wed. 11/20 9-2.   Explore a problem involving the addition of decimals by estimating, using a place-value chart, and lining up the decimal points. pp. 89-90 Thurs. 11/21 9-3.   Explore a problem involving the subtraction of decimals by estimating, using a place-value chart, and lining up the decimal points. pp. 91-2 Fri. 11/22 9-4.   Practice using estimation, place-value charts and equations to solve decimal addition and subtraction problems that might appear on a mathematics test. pp. 93-4 Mon. 11/25 9-5.   Review and Quiz for Lesson 9 Add and Subtract Decimals pp. 95-6 Tues. 11/26 10-1.   Use the knowledge of fractions to learn multiply decimals in the same way as they multiply whole numbers. pp. 97-8 Wed. 11/27 10-2.   Explore using fractions and the standard multiplication algorithm to solve a problem involving multiplication of decimals. pp. 99-100

Math Pacing Calendar - October 2019

Prepared by Mr. John Xia

 Day/Date Syllabus of the Lesson HW Wed. 10/2 4-1.   Visualize equivalent ratios using a double number line, and use the double number line to solve problems. pp. 27-9 Thurs. 10/3 4-2.   Create a ratio table to find the equivalent ratios that solve a problem, and learn how to use unit price to solve problem. pp. 30-2 Fri. 10/4 4-3.   Use double number lines to solve problems involving time and distance. pp. 33-4 Mon. 10/7 4-4.   Use tables and double number lines to convert measurement units, and multiply or divide to solve the conversion problems. pp. 35-6 Tues. 10/8 4-5.   Use tables, double number lines, multiplication, and division to solve problems involving ratios that might appear on a mathematical test. pp. 37-8 Thurs. 10/10 4-6.   Review and Quiz for Lesson 4: Solve Problems with Unit Rate pp. 49-52 Fri. 10/11 5-1.   Learn that ratios with 100 for the second quantity are called percents, and percents can be used to compare ratios that have different second numbers. pp. 39-40 Tues. 10/15 5-2.   Use a bar model and a multiplication expression to find the percent of a number. pp. 41-2 Wed. 10/16 Math Tri-Annual 1 Thurs. 10/17 5-3.   Use double number lines and tables to represent a situation in which part and a percent are given in order to find the whole. pp. 43-4 Fri. 10/18 5-4.   use tables, double number lines, bar models, and computation to solve problems involving percent. pp. 45-6 Mon. 10/21 5-5.   Use percents to solve problems that might appear on a mathematical test. pp. 47-8 Tues. 10/22 5-6.   Review and Quiz for Lesson 5: Solve Problems with Percent pp. 53-6 Wed. 10/23 Unit One Review Thurs. 10/2 Unit One Test:  Ratios and Proportional Relationship Fri. 10/25 6-1.   Explore dividing a fraction and a whole number by a fraction, and dividing fraction by a whole number. pp. 57-8 Mon. 10/28 6-2.   Use a number line to divide a fraction by a fraction, solve related word problems in pairs and groups. pp. 59-60 Tues. 10/29 6-3.   Solve a fraction word problem by writing an expression and drawing a model. pp. 61-2 Wed. 10/30 6-4.   Review and Quiz for Lesson 6 Understand Division with Fractions pp. 63-4 Thurs. 10/31 7-1.   Explore dividing a whole number by a fraction using a model, and explore solving a division problem using multiplication. pp. 65-6

Math Pacing Calendar - September 2019

Prepared by Mr. John Xia

 Day/Date Syllabus of the Lesson HW Thurs. 9/5 Orientation of 6th grade math/Supply List  Math Rubric for Homework and Class-work Fri. 9/6 1-1.   Read a problem involving making comparisons using ratios, write both part-to-whole and part-to-part comparisons, and learn about different types of ratios and ratio phrases and notation. pp. 1-2 Mon. 9/9 1-2.   Read a problem concerning ratios and study different ways to model it, and use ratios to describe the relationships among quantities. p.3-4 Tues. 9/10 1-3.   Use models and ratio notation to compare quantities. pp. 5-6 Wed. 9/11 1-4.   Write ratios to solve word problems that might appear on a mathematics test. pp. 7-8 Thurs. 9/12 1-5.   Review and Quiz for Lesson 1: Ratios Fri. 9/13 2-1.   Explore comparison of one quantity to another using ratios and related rates and unit rates, review the terms of ratio, rate, and unit rate. pp. 9-10 Mon. 9/16 2-2.   Use a double number line to find the rate and unit rate when given a ratio, work with the double number line to reinforce the concepts of unit rate and rate in the context of word problem, and use equivalent fractions to find rate and unit rate. pp. 11-2 Tues. 9/17 2-3.   Demonstrate understanding of ratios, rates, and unit rates in three different word problems, work with the ratios of two ingredients to change the quantities needed when using recipe. pp. 13-4 Wed. 9/18 2-4.   Take an independent practice in finding unit rates in a recipe problem that involves converting customary measurement units of capacity. pp. 15-6 Thurs. 9/19 2-5.   Review and Quiz for Lesson 2  Understand Unit Rate Fri. 9/20 3-1.   Use multiplication and division to equivalent ratios, related rates, and unit rates, and use tables to find equivalent ratios. pp. 17-8 Mon. 9/23 3-2.   Use a diagram and a table to solve a problem involving a proportional relationship. pp. 19-20 Tues. 9/24 3-3.   Use a table and a graph that shows the proportional relationship needed to solve a problem. pp. 21-2 Wed. 9/25 3-4.   Use ratio tables, graphs, and proportional reasoning to solve problems involving ratios. pp. 23-4 Thurs. 9/26 3-5.   Find equivalent ratios to solve problems that might appear on a mathematical test. pp. 25-6 Fri. 9/27 3-6.   Review and Quiz for Lesson 3：Equivalent Ratios