4th Math AGP Long Range Plan

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  • 4th Grade AGP Math LRP (2014-2015)

    Week

    Standards/Indicator

    Chapter and Resource

    Project/Performance Task

    Math Journal (E-Book) or Front Row Practice

    Classroom Procedures/ Teacher Introductions Back to School Activity- Figure Me Out

    Ebook Tasks # 24-29 Math Projects Planning a Birthday Party- Page 12 A Family Outing- Page 20 Planning a Vacation-Page 24 Posting a Birthday Party- Page 32 Feeding a Family- Page 38 Front Row- NBT Lesson 24- Place Value Basics NBT Lesson 25- Compare Multi-Digit Numbers NBT Lesson 26- Rounding NBT Lesson 27- Add/Subtract Multi-Digit Inside Mathematics.org Problems of the Month: 1- Miles of Tiles 2- Once Upon a Time

    Place Value Pretest- Use 1B *Set Up Class Contest for Math Super Stars *Begin Timed Multiplication Quizzes (50 in 3 minutes)

    8/25-8/29

    4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. 4.NBT.2 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >,=, and < symbols to record the results of comparisons. 4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place. 4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.

    *Math Warm Up- Use items from Chap 1 Standards Test*

    MM 4th- Chapter 1 Lessons 1 & 2 Place Value/Read & Write Multi-Digit Numbers Lesson 3 & 4- Compare/Order Numbers Lessons 5/6- Using Place Value to Round & Problem Solving Chapter 1 Review- Use 3A as Study Guide

    9/2-9/5

    Chapter 1 Test- 3B + Extended Response

    *Math Warm Up- Use items from Chap 2 Standards Test* Add & Subtract Whole Numbers Pretest- Use 1B MM 4th- Chapter 2 Lesson 1/2- Addition/Subtraction Properties & Patterns Lesson 5- Add Whole Numbers Lesson 6/7- Subtract Whole Numbers & Subtract Across Zeros

    9/8-9/12

    Lesson 9- Solving Multi-Step Word Problems Chapter 2 Review- Use 3A as Study Guide Chapter 2 Test- 3B + Extended Response

    *Math Warm Up- Use items from Chap 3 Standards Test*

    Begin M3- Factors, Multiples & Left Overs Give M3 Unit Test as Pretest

    Chapter 1: M3 Multiplication Magic Lesson 1- Name That Number (2-3 Days) *Check-Up 1 as CW or Quiz

    *See Information Listed on Next Page*

  • 9/15-9/19

    4.OA.1 Interpret a multiplication equation as a comparison, e.g. interpret 35 = 5 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 1100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1100 is prime or composite. 4.OA.5 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. 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. 5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

    Supplement- MM 5th- Chapter 2- Lesson 1- Prime Factorization M3 Lesson 2- Thats Odd (2 Days) M3- Lesson 3- Factors and Multiples (2 Days) *Check Up 2 as CW or Quiz *Sieve of Eratostheness

    Ebook Tasks # 1-23, 36-40 Math Projects- Everyday Arrays- Page 6 Make a Multiplication Book- Page 60 Front Row- CCOA Lesson 36- Multiplication as Comparison CCOA Lesson 37- Word Problems: Multiplication Comparison CCOA Lesson 38- Multi-Step Word Problems CCOA Lesson 39- Factor Pairs Inside Mathematics.org Problems of the Month- 1- Measuring Mammals (4.OA.1) 2- Digging Dinosaurs (4.OA.3) 3- Double Down (4.OA.3) 4- Friends You Can Count On (4.OA.3) 5- Perfect Pair (4.OA.3) 6- Squirreling It Away (4.OA.3/4.OA.4)) 7- The Wheel Shop (4.OA.3) 8- Courtneys Collection (4.OA.4) 9-Once Upon a Time (4.OA.4) Performance Assessment Tasks- 1- Bikes and Trikes (4.OA.2) 2- The Baker (4.OA.3) 3- Number Trains (4.OA.4)

    9/22-9/26 M3 Lesson 4- Multiplication Magician (Check Up 3- HW) M3Multiplication Review Activities M3- Multiplication Test Supplement- MM 5th- Chapter 2 Lesson 3- Powers and Exponents Lesson 4- Multiplication by 10, 100, 1,000 Patterns *MM Chapter 2 Check My Progress for HW or CW

    9/29-10/3

    Supplement- MM 5th- Chapter 2 Lesson 7- The Distributive Property Review Lesson 9- Multiply by One-Digit Numbers Pretest for 2-Digit by 2-Digit Numbers Lesson 10- Multiply by Two-Digit Numbers Solving 2-Digit Word Problems Guided Whole Group/ Small Group & Independent Practice with 2x2 Digit Problems

  • 10/6-10/10

    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. 5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.

    *Math Warm Up- Use items from Chap 4 Standards Test*

    Chapter 2: M3 Dazzling Division Lesson 1- Near Facts! (2 Days) HW Options- MM Lesson 1 *Check Up 4 (CW or Quiz) Lesson 2- Remaining Remainders (2 Days) MM Chapter 3- Check My Progress (pp. 181-182) Long Division Practice and Small Groups MM 5th- HW Sheets for Lesson 8, 910

    Ebook Tasks # 41-42 Math Projects- Split the Bill- page 28 Front Row- NBT- Lesson 29- Four Digit Division NBT- Lesson 36- Multi Digit Divisors Inside Mathematics.org Problems of the Month- 1- Diminishing Return (4.NBT.6) Performance Assessment- 1- The Baker (4.NBT.6) Movie Theater Long Division Project Long Division Scavenger Hunt

    10/14-10/17

    Lesson 3- What Do You Do with the Leftovers? Division Word Story Practice- MM 5th- Chapter 3- Lesson 11, 12 Lesson 4- Division Jeopardy Review M3 Division Review M3 Division Test

    10/20-10/24

    Supplemental- MM 5th- Chapter 4- Division Lesson 3- Divide by a Two-Digit Divisor Lesson 5- Divide Greater Numbers Fluency Practice Pages 289-290 Chapter 4 Review MM Chapter 4 Test (Given as Quiz Grade)

    10/27-10/31

    4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. 4.NF.6 Use decimal notation for fractions with denominators 10 or 100. 4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or

  • 11/17-11/21 5.NBT.4 Use place value understanding to round decimals to any place. Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.NBT.7 Add, subtract, multiply, and divide decimals to 100ths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

    Lesson 14- Divide by Decimals by Powers of Ten MM 5th Chapter 6 Review (2 Days) MM 5th Chapter 6 Test 4th MM- Chapter 7- Lesson 7 Order of Operations

    11/24-11/25

    3.OA.8 Solve two-step word problems using the four operations. 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. 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

    Order of Operations Review & Hopscotch Activity- See Link for Directions Multiplying & Dividing Decimals- Thanksgiving Game

    Front Row- CCOA- Lesson 34- Two Step Word Problems CCOA- Lesson 41- Parentheses

    12/1-12/19

    6.EE.A.1- Write and evaluate numerical expressions involving whole-number exponents.

    6.EE.A.2 Write, read, and evaluate expressions in which letters stand for numbers.

    6.EE.A.2.A Write expressions that record operations with numbers and with letters standing for numbers.

    6.EE.A.3 Apply the properties of operations to generate equivalent expressions.

    6.EE.A.4 Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).

    6.EE.B.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

    6.EE.B.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

    6.EE.B.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

    Begin M3- Algebra at the Mall *Pretest Chapter 1: Thinking About Variables & Equations Lesson 1- Im Thinking of a Number (2 Days) *Check Up 1 HOE Lesson 1 Lesson 2- Number Tricks (2 Days) HOE Lesson 2 Lesson 3- Variable Puzzles (2 Days) *Check Up 2 HOE Lesson 3 Lesson 4- Cover Up! (2 Days) *Check Up 3 HOE Lesson 4 Chapter 2: Equations That Go Together Lesson 1- Pet Parade *Check Up 4 HOE Lesson 5- Lesson 2- A Penny for Your Thoughts HOE Lesson 6 Lesson 3- Seasonable Symbols *Check Up 5 HOE- Lesson 7 Lesson 4- At the Mall (Friday, 12/19/14)

    Front Row- EE- Lesson 1- Introduction to Exponents EE- Lesson 2- Write Expressions with Variables EE- Lesson 5- Generate Equivalent Expressions EE- Lesson 6- Identify Equivalent Expressions EE- Lesson 7- Solve Equations & Inequalities EE- Lesson 8- Use Variables in Expressions EE- Lesson 9- Write and Solve Equations

  • 1/5-1/30 4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n a)/(n b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. 4.NF.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or 1 as a sum of fractions 1/b. 4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. 5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) 5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

    Fractions Use 3rd Grade Fraction Benchmark as Pretest MM 4th (Chapters 8 & 9) Week 1: Chapter 8 Lesson 3 & 4- Equivalent Fractions Lesson 5- Simplest Form Lesson 6 & 7- Compare and Order Fractions & Benchmark Fractions Lesson 8- Problem Solving with Fractions (Small Group) Lesson 9 & 10- Mixed Numbers & Improper Fractions Week 2: Chapter 9 Review Skills from Chapter 8- (3A)- CW Grade (3B) Lesson 1/2 Adding Fractions (Use Fraction Tiles) Lesson 3/4 - Subtracting Fractions Use Fraction Tiles Lesson 6/7- Adding Mixed #/Subtracting Mixed # Lesson 8/9- Multiply Fractions by Whole Numbers Week 3: Begin M3- Treasures in the Attic Review Skills from Chapter 9- (3A)- CW Grade (3B) Lesson 1: Sew What (2 Days) Lesson 2: In the Balance (2 Days) Week 4: continue M3 Lesson 3: Thats Puzzling (2 Days) Lesson 4: Grandmas Cookbook (2 Days) *M3 Unit Test & Use 4th Grade Fraction Benchmark

    Ebook Tasks # 43-68 Math Projects- None Front Row- Fractions Domain (NF) Lessons 8- Generate Equivalent Fractions Lesson 9- Compare Dissimilar Fractions Lesson 10- Intro to Fraction Addition Lesson 11- Decomposing Fractions Lesson 12- Mixed Numbers with Like Denominators Lesson 13- Word Problems: Addition Lesson 14- Understanding Multiples Lesson 15- Multiplying Fractions Lesson 16- Word Problems: Multiplying Lesson 17- Equivalent Denominators (Lesson 18-19 Decimal Notation) Lesson 20- Adding: Unlike Denominators Lesson 21- Word Problems: Unlike Denominators Inside Mathematics.org Problems of the Month- Fractured Numbers (4.NF.1) Got Your Number (4.NF.2) Party Time (4.NF.4) Performance Assessment- Picking Fractions (4.NF.1) Leapfrog Fractions (4.NF.1,3) Cindys Cats MM4- Planning a Bowling Party

  • 2/2-2/20

    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. 4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. 5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. 5.G.4 Classify two-dimensional figures in a hierarchy based on properties.

    Geometry- Perimeter/Area MM 4th- Chapter 14 Lesson 1/2 Draw Points, Lines and Rays & Draw Perpendicular Lines Lesson 8- Triangles (Supplement MM 5th- Chap 12- Lesson 3 Classify Triangles) Lesson 9/10- Quadrilaterals & Symmetry Use 3A for Review and 3B for Quiz Grade MM 4th Chapter 13 Lesson 1- Measure Perimeter Lesson 4- Measure Area Lesson 5- Relate Perimeter and Area Use 3A for review and 3B for CW Grade MM 5th (Chapter 12) Lesson 1- Polygons Lesson 5- Classify Quadrilaterals Lesson 7- 3-D Figures Lesson 9- Volume of Prisms Lesson 10- Volume of Composite Figures Use 2A for Review and 2B for Test Grade

    Ebook Tasks # 85-90 Math Projects- Design a Mini City- p. 76 Front Row- G- Lesson 15 Lines in 2D Figures G- Lesson 16- Triangles G- Lesson 17- Lines of Symmetry G- Lesson 20- Attributes & Categories G- Lesson 21- Shape Classification MD- Lesson 31 Area & Perimeter MD- Lesson 39 Measuring Volume MD- Lesson 40 Packing Unit Cubes MD- Lesson 41- Volume by Counting Cubes Inside Mathematics.org Problems of the Month- Between the Lines (4.G.1) Lyles Triangles (4.G.1) Once Upon a Time (4.G.1) Cut It Out (4.G.3) Part and Whole (4.G.3) The Shape of Things (4.G.3) Performance Assessment- Quilt Making (4.G.1, 2) Fair Play (4.G.3) Symmetrical Patterns (4.G.3)

    2/23-2/24 (2 Days)

    6-SP: Develop understanding of statistical variability. Understand that a set of data collected to answer a statistical question has a distribution that can be described by its center, spread, & overall shape.

    Supplement Data Lesson: Mean, Median, Mode, Range

    Front Row- SP- Lesson 2

    2/25-2/27 MAP Review (2 Days)

    3/2-3/20 4.MD.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table. 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature

    Measurement MM 4th -Chapter 11 Lesson 1/2 Customary Units & Conversion Lesson 3/4- Capacity & Conversion Lesson 5/6- Weight & Conversion Lesson 7- Convert Time Lesson 8- Line Measurement Data in Line Plot Lesson 9- Solve Measurement Problems Use 3A for Review and 3B for Test

    Ebook Tasks # 69-84 Math Projects- Design a Playground- p. 70 Design a Mini Golf Course- p. 72 Lets Go Fly a Kite- p. 74 Front Row- MD- Lesson 29 Measurement Size & Conversion MD- Lesson 30- Word Problems Involving Measurement MD- Lesson 32- Fractional Line Plots

  • a measurement scale. 4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. 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.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

    MM 4th- Chapter 12 Lesson 1- Metric Units of Length Lesson 2- Metric Units of Capacity Lesson 3- Metric Units of Mass Lesson 5- Convert Metric Units Lesson 6- Solve Measurement Problems Use 3A for Review and 3B for Test MM 4th- Chapter 14 Lesson 4- Classify Angles Lesson 5/6- Measure & Draw Angles Lesson 7- Solve Problems with Angles Quiz on These Lessons

    MD- Lesson 33- Angle Measurement MD- Lesson 34- Angles in Degrees MD- Lesson 35- Measuring & Creating Angles MD- Lesson 36- Real World Angle Problems MD- Lesson 37- Convert Standard Units MD- Lesson 38- Make & Use Line Plots MD- Lesson 39- Measuring Volume Inside Mathematics.org Problems of the Month- Moving and Grooving (4.MD.1) Once Upon a Time (4.MD.1, 2) Courtneys Collection (4.MD.2) Diminishing Return (4.MD.2) Piece It Together (4.MD.2,5,6) Surrounded and Covered (4.MD.2) The Shape of Things (4.MD.5) Performance Assessment- Whats Your Angle? Fair Play (4.MD.3)

    3/24-4/24 5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. 5.G.4 Classify two-dimensional figures in a hierarchy based on properties. 5.G.1 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). 5.G.2 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

    M3 Analyze This Data *Unit Test as Pretest Chapter 1: In the Loop- Representing & Interpreting Data Lesson 1- Lets Get In Shape (2 Days) *Check Up 1 (HW) Lesson 2- Rain or Shine (2 Days) *Check Up 2 (CW) Chapter 2: Its Round & About: Representing & Analyzing Categorizing Data Lesson 1- Food for Sale! (2 Days) Lesson 2- Its a Piece of the Pie (2 Days) *Check Up 3 (Quiz) Lesson 3- Its as Simple as Pie (2 Days Lesson 4- The Ace Place to Be (2 Days) *Check Up 4 (CW) Chapter 3: On the Line: Representing & Analyzing Continuous Data Lesson 1- Keys to the City (2 Days) Lesson 2- Weather Report (2 Days) *Check Up 5 (Quiz) Unit Posttest (Test)

    Front Row- G- Lesson 18 Coordinate Plane G- Lesson 19 Points in a Coordinate Plane G- Lesson 20 Attributes and Categories G- Lesson 21 Shape Classification

  • 4/27-5/1 PASS Math Review

    5/4-5/22 Math Projects (Students will select 1-2 of the projects from the MM 4th Grade Units.)