ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACADAE
1
e
2
Mathematics: Grade 4
3
4
G4 WM MCAS Approved Math Supplemental Reference SheetπŸ“½ Vocabulary Development with Naming Support
5
Planning Grid (Gantt Chart)BASI Test Prep Grades 3-4Grade 4-5 BASI Test Prep2021 Grade 4-5 Progress Monitoring SlidesGeneral Process Template.Tier 2 &3 Math Vocabulary by GradeG4 Math Vocabulary - Visual Prompts G2-8 Visual Prompts
6
Sequence instruction by academic quarter.Key:
7
Indicate when you are introducing a skill by flagging the appropriate quarter green. β€’ Click +/- signs in the far-left margin to view skills within each topic.
β€’ Each cell is a link to the worksheet(s) or slide presentation. Hover over the cell to see the link, then click to open.
β€’ Skills progress from easiest to most difficult, from left to right.
β€’ Blue cells indicate that this is a priority skill for this grade level.
β€’ Cells with matching border colors are related (like a video demonstration πŸ“½).
β€’ Make yourself a copy of this spreadsheet and use the Gantt chart to mark your progression through the curriculum.
β€’ Note: New materials are frequently added to this spreadsheet. Check back regularly to see what's new. New items can be copied and pasted into your personal copy.
8
Flag the skill red when students are practicing the skill on independent assignments (homework).
9
10
Q1
Aug-Nov		Q2
Dec-Mar		Q3
Mar- June
Trimester
11
Q1
Sep-Oct		Q2
Nov-Jan		Q3
Feb-Mar		Q4
Apr -Jun		Operations and Algebraic Thinking
12
A. Use the four operations with whole numbers to solve problems.
13
4.OA.A.3.aKnow multiplication facts and related division facts through 12 x 12.
14
Multiplication and Division Facts for the Whole-to-Part Visual Learner Fluency Program
15
16
17
18
19
4.OA.A.2Multiply 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.
20
21
22
23
24
25
4.OA.A.3. Precursor single step:Solve multi-step 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.
26
4.OA.A.3 2x Semantic Single-Step Word Problems Facts to 2x 2-DigitπŸ“½ X and Division Fact Word Problems with Diagrams and EquationsDX.S2P1 Multiplication and Division Fact Word Problems with Diagrams, Equations and Variables 3.OA.A 4.OA.A.3 Mixed operation Word Problems with Graphic Organizers4.OA.A.3 Solve Word Problems Given Diagrams using Equations
27
28
29
30
31
4.OA.A.1Interpret 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.
32
33
34
35
36
37
B. Gain familiarity with factors and multiples.
38
4.OA.B.4 Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.
39
4.OA.A Snap Cube FactoringπŸ“½ Factor numbers with a dynamic area model video4.OA.B Factor numbers with a dynamic area model
40
4.OA.A Snap Cube Factors Slides Format
41
42
43
44
C. Generate and analyze patterns.
45
4.OA.C.5Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern
that were not explicit in the rule itself. For example, given the rule β€œAdd 3” and the starting number 1, generate terms in the resulting
sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
46
47
πŸ“½ DxS2P1 2x Divisibility Rule Explained Visually on the 0-100 Chart and X Table 4.OA.C
48
49
50
51
52
Q1
Sep-Oct		Q2
Nov-Jan		Q3
Feb-Mar		Q4
Apr -Jun		Number and Operations in Base Ten
53
 A. Generalize place value understanding for multi-digit whole numbers less than or equal to 1,000,000.
54
See Phase 1 of Horizontal Path Of Multdigit Multiplication and Division
55
4.NBT.A.1Recognize that in a multi-digit whole number, a digit in any place represents 10 times as much as it represents in the place to its right. For example, recognize that 700 Γ· 70 = 10 by applying concepts of place value and division.
56
4.NBT.A.1 x magnitudes of 10
57
58
59
60
61
4.NBT.A.2Read 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.
62
πŸ“½ 4.NBTA.2 Jolly Roger Game Demo Video
63
4.NBTA.2 Jolly Roger Place Value Game
64
65
66
67
4.NBT.A.3Use place value understanding to round multi-digit whole numbers to any place.
68
4.NBT.A.3 Round Tens w/ Up Down Triangles and Base ten Blocks4.NBT.A.3 Round whole numbers w/up down triangles
69
70
71
72
73
B. Use place value understanding and properties of operations to perform multi-digit arithmetic on whole numbers less than or equal to 1,000,000.
74
4.NBT.B.4Fluently add and subtract multi-digit whole numbers using the standard algorithm.
75
Add and subtract review and generate 2x using diagrams, 2 x mdBase Ten Model 123 Addition and Subtraction TemplateBase Ten block +- 3 digit templatePrimary Numeracy- Horizontal Path
76
77
78
79
80
4.NBT.B.5 1D xMDMultiply 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.B.5 Math Slide Process Template 2x123 Prompts4.NBT.B.5 Math Slide Process Template 2x123 Finished Example
81
See Phase 2 of Horizontal Path Of Multdigit Multiplication and Division
82
πŸ“½ VMI Ballistic Motor Training for 1-Digit x 3-Digit Video4.NBT.B5 Single x 2-digit Base-10 Block Area Model Problems4.NBT.B5 Single by 3-digit Key Factor template4.NBT.B5 Single by 3 Digit Key Factor 2 problem Template4.NBT.B5 2x multi-digit estimate and rank first4.NBT.B5 5 x Multi-digit Estimate Rank 1st4.NBT.B5 Estimate, then Multiply 1D x 2D or 3D Problems Scaffolded Facts4.NBT.B5 9x md Est Rank 1st9x MD Check and Correct4.NBT.B5 Rainbow 1d x mdArea Diagrams, Labels and Procedures
83
Ballistic VMI 1D x3-D and 2dx2d Template
84
85
See Phase 3 of Horizontal Path Of Multdigit Multiplication and Division
86
2-D x 2-DπŸ“½ 4.NBT.B.5 Inductive Area 12x13 Video4NBT 2d x 2d Base 10 Block Area - book version b/wπŸ“½ 2-Digit x 2-Digit Gross Motor on Color Coded Problem Video2Dx2D Ballistic Highlight Template for VMI AutomatizationπŸ“½ 2-D x 2-D Plan Output Steps using Red and Blue Post-its2x2 Magnitude of Ten Subproduct Scaffolding Composite Arrays 2-digit by 2-digit Subproduct ScaffoldingπŸ“½ 2d x 2d J-Highlight MovieTemplates for 2-Digit XMultidigit x All Products are the Same Research FactsWarm up Sub Review 29 x 2d
87
4.NBT.B.5 Inductive Composite Area 2dx2d Matrix4NBT 2d x 2d Base 10 Block Area - w color2d x 2d Model Pipe Plans1-D xMD to 2-D x 2-D Shade Rectangles 2x, 5x Facts2-D x 2-D Shade subproduct Rectangles Red and Blue 20 x 2d Magnitudes of 104NBT Two-Digit Γ— 2D 9x facts Upfront Estimation2d x 2d J-Highlight Template2-digit x 2-digit Fading Templates3x Facts and Procedures 4.NBT.B.52Dx2d and 3d 9 Facts
88
89
4.NBT.B.6Find 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.
90
See Phase 2 of Horizontal Path Of Multdigit Multiplication and Division
91
4NBT Division Icon Steps and PosterπŸ“½ Use shoes as manipulatives to learn division by 2 with a fractional remainder4NBT Single-Step Division 9 Facts Single Step Quotient Estimation- Updated 2/1/21πŸ“½ 5NBT.6 Divide by 10 using dimes on 0-100 sheet VideoπŸ“½ Divide by 10 using Base Ten Materials on a Matrix Diagram VideoπŸ“½ Woodin Ladder Chart Instructional Video4.NBT Mixed Multiplication and Division Computation With Diminishing Structure4.NBT Ladder Chart 4x Facts and Procedures IntroAlternate Whole-to-Part Division
92
πŸ“½ Semantic Division Video ExampleSemantic Division PDF Divide by 2 With Fractional Remainder Scaffolded FactsπŸ“½Single-Step Quotient Estimation Video5NBT.6 Divide by 10 with Dimes on a Matrix Diagram5NBT.6 Divide By 10 with Base Ten Materials on a Matrix DiagramSingle-Digit Divisor Multi-Step Division Slides TemplateColor Coded Ladder Chart with Divisibility Rule ReferencesSmall Color Ladder Charts with Divisibility Rule References4.NBT Ladder Chart 7x Facts and Procedures Intro2dx2d and related LC Division Problems
93
πŸ“½ Semantic division based on a Jeep's TiresSEMANTIC DIVISION TEMPLATES (Slides)πŸ“½ 4NBT Divide by 5 on a Clock Dial Using TK Cues4.NBT 5x Clock-Based division with a remainderDivide By 10 with Base Ten Materials on a Matrix DiagramScaffolded 2-step division Slides series updated 2.24.21
4NBT 2dx2d to 2-step Div
Division TemplateCW Ladder Chart Presentation
94
πŸ“½ Intramodality Processing (division)4.NBT.A Division From Representation to Abstract4NBT.A Divide by 5 With Fractional Remainder Scaffolded Facts4NBTA Divide by 9 With Fractional Remainder Scaffolded FactsπŸ“½ 4NBT.B.6 Create a MD Division problem to check x video4.NBT.B.6 Create a Multidigit Division Problem to Check Multidigit X
95
96
97
Q1
Sep-Oct		Q2
Nov-Jan		Q3
Feb-Mar		Q4
Apr -Jun		Number and Operations - Fractions
98
A. Extend understanding of fraction equivalence and ordering for fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
99
4.NF.A.1Explain why a fraction aβˆ•b is equivalent to a fraction (n x a)βˆ•(n x b) by using visual fraction models, with attention to how the numbers and sizes of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions, including fractions greater than 1.
100
πŸ“½ Fraction Universe fractions equivalent to 1/2 movieRenaming Equivalent Fractions using Durable ImagesS3P2 = Fraction Diagrams a/b=na/nb UFM 4.NF.A.1Expand and Simplify Fractions While Practicing Fact Families and the Multiplication Table Area ModelSIMPLIFY FRACTIONS WITH 2,5,10,9,3,6 DIVISIBILITY RULES