Grade 4GT 2024-2025 Scope and Sequence

Two Weeks • August 26 - September 6

This module focuses on who our students are as learners and mathematicians. 

• Learn about students' math identities to begin to foster productive dispositions towards mathematics.
• Engage students in mathematical tasks and make observations of students.
• Build a math community.

Link to Module 1 materials 

Four Weeks • September 9 - October 4

In this module, students will

• Multiply 4-digit, 3-digit, and 2-digit factors by 1-digit or 2-digit factors using partial products 5.NBT.5
• Connect the standard algorithm for multiplication with partial products 5.NBT.5
• Divide multi-digit numbers with partial quotients and connect to the standard algorithm for division 6.NS.2
• Estimate and divide multi-digit numbers 6.NS.2

Notes About the Module:

• Recommended Timing Guidelines-- Weeks 1 and 2: Connect partial products to the standard algorithm (5NBT5) and use strategies to estimate and solve problems with multiplication (5NBT5). Week 3 and 4: Divide with partial quotients and connect to the standard algorithm (6NS2) and use strategies to estimate and solve problems with division (6NS2).
• Other Notes-- Be sure to establish strategies of partial products/quotients before connecting them to the standard algorithm. Help students consider when a strategy is more efficient than another (e.g. 20 x 25 isn't efficiently with an algorithm)

Four Weeks • October 7 - November 1

In this module, students will

• Interpret a fraction as division 5.NF.3
• Solve problems involving greatest common factor and least common multiple 6.NS.4
• Solve word problems that add and subtract fractions and mixed numbers with unlike denominators 5.NF.2 Note: Use as a context for learning the standard below.) **
• Add and subtract fractions and mixed numbers with unlike denominators 5.NF.1  
• Make line plots using fractions and solve problems with fractions on line plots 5.MD.2

Notes About the Module:

• Recommended Timing Guidelines-- First, begin the module with fraction as division (5NF3).  Second, solve problems with GCF and LCM (6NS4). Third, bridge to unlike denominators by generating equivalent fractions with common denominators (lessons on the 5NF1 page). Fourth, add and subtract with unlike denominators, no mixed numbers (see 5NF2 page for lessons). Fifth, leave approximately two weeks to add and subtract with unlike denominators, including mixed numbers (see 5NF2 page for lessons). Finally, if time allows, complete a few line plot application lessons (5MD2).  
• Other Notes-- Teachers should spend time reading the About the Math pages for both 5NF1 and 5NF2 before teaching this module. It is critical to understand how these standards connect and overlap as you plan for instruction.
• Other Notes-- Provide basic fact charts for students as needed. These standards are not assessing basic fact fluency.

Four Weeks • November 4 - December 6

In this module, students will

• Interpret multiplication of fractions as scaling 5.NF.5
• Solve problems that multiply fractions  5.NF.6 Note: Use as a context for the standards below. 
• Multiply a fraction by a whole numbers to find a fraction of a set 5.NF.4
• Multiply a fraction by a fraction  5.NF.6

Notes About the Module:

• Recommended Timing Guidelines-- First: Multiplication as scaling-- complete lesson on 5NF5 standard page. Then, solve problems with fraction times a whole number (see tasks on the 5NF4 page).  Next: Solving problems involving fraction times a fraction (no mixed), see tasks on 5NF6 page.  Finally: Begin solving problems involving multiplication of fractions, including mixed numbers (see lessons on 5NF4 page). 
• Other Notes-- Teachers should spend time reading the About the Math pages for 5NF5, 5NF4 and 5NF6 before teaching this module. It is critical to understand how these standards connect and overlap as you plan for instruction.

Three Weeks • December 9 - January 10 

In this module, students will

• Estimate and find quotients of whole numbers divided by unit fractions and unit fractions divided by whole numbers 5.NF.7
• Divide whole numbers by unit fractions and unit fractions by whole numbers and solve word problems with these operations  5.NF.7
• Solve word problems that divide fractions by fractions 6.NS.1
• Estimate and find quotients of fractions divided by fractions 6.NS.1

Notes About the Module:

• Recommended Timing Guidelines-- Begin the module with whole number divided by a unit fraction and unit fraction divided by a whole number (5NF7).  Then, divide fractions by fractions (6NS1). 

Three Weeks • January 13 - January 31

In this module, students will

• Read, write, and compare decimals; show decimals on number lines 5.NBT.3
• Round and estimate decimals 5.NBT.4
• Recognize the relationship between adjacent place values including decimals 5.NBT.1
• Represent powers of ten with exponents 5.NBT.2

Notes About the Module:

• Recommended Timing Guidelines-- Week 1: Read, write, and compare decimals (5NBT3).  Week 2: Round and estimate decimals (5NBT4).  Week 3: Relationship between place values (5NBT1) and powers of ten with exponents (5NBT2).
• Other Notes-- Mastery of the rounding procedure is not required. In fact, students should understand that a number "rounds" to a number based on place value and because it is closer to a particular benchmark number, not by following a rote procedure.

Four Weeks • February 3 - February 28

In this module, students will

• Estimate sums and differences of decimals 5.NBT.7
• Add and subtract decimals 6.NS.3
• Estimate products and quotients of decimals 5.NBT.7
• Multiply and divide decimals 6.NS.3
• Solve problems by fluently adding, subtracting, multiplying and/or dividing multi-digit decimals using the standard algorithm 6.NS.3

Notes About the Module:

• Recommended Timing Guidelines-- Begin (approximately 1.5 weeks) the module by estimating and reasoning about sums and differences of decimals (5NBT7) and then add and subtract decimals (6NS3).   Next (approximately 1.5 weeks), estimate and reason about products and quotients of decimals (5NBT7) and then multiply and divide decimals (6NS3).  Finally (approximately 1 week), problem solve (including multi-step problems) with decimals using any of the four operations (6NS3).
• Other Notes-- Connections to previous instruction on whole number computation should be made.
• Other Notes-- "Counting decimals places and moving decimal points" is not grounded in meaning.  However, estimating a product using the whole numbers prior to computing will explain why "counting the decimal places and moving the decimal point" makes sense.

Three Weeks • March 3 - March 21

In this module, students will

• Express two addends with a common multiple using the distributive property (i.e. 36 + 8 is the same as 4(9 + 2)) 6.NS.4
• Evaluate expressions with grouping symbols but without exponents 5.OA.1
• Write simple one-operation expressions with or without unknowns 5.OA.2
• Read, write and evaluate expressions with unknowns 6.EE.2
• Evaluate numerical expressions with grouping symbols and/or whole-number exponents 6.EE.1

Notes About the Module:

• Recommended Timing Guidelines-- Begin the module with connecting to the distributive property (6NS4). Then, evaluate expressions with grouping symbols (5OA1) and write simple expressions (5OA2). Next, read, write and evaluate expressions (6EE2). Finally, evaluate numerical expressions including exponents (6EE1).

Two Weeks • March 24 - April 4

In this module, students will

• Identify and generate equivalent expressions 6.EE.4
• Use properties to determine if expressions are equivalent 6.EE.3

Notes About the Module:

• Recommended Timing Guidelines-- Week 1: Identify and generate equivalent expressions (6EE4). Week 2: Use properties to determine if expressions are equivalent (6EE3).

Two Weeks • April 7  - April 25

In this module, students will

• Apply a process to solve equations and inequalities with variables given values from a set 6.EE.5
• Write expressions and equations with variables to solve problems 6.EE.6 
• Use equations with variables to solve real-world problems 6.EE.7  

Notes About the Module:

• Recommended Timing Guidelines--  First, solve equations and inequalities with values from a set (6EE5). Next, write expressions and equations with variables (6EE6). Finally, write and use equations to solve real-world problems (6EE7).

Two Weeks • April 28 - May 9 

In this module, students will

• Solve problems involving the conversion of measurement units 5.MD.1
• Describe the concept of volume 5.MD.3
• Find volume by counting cubic units. 5.MD.4
• Discover and use the formula for volume 5.MD.5
• Apply the formula for volume to solve problems with whole-number side lengths 5.MD.5 and fractional side lengths 6.G.2.

Notes About the Module:

• Recommended Timing Guidelines--  First, solve problems involving conversions (5MD1). Next, explore the concept of volume (5MD3) and count cubic units to find volume (5MD4). Finally, find volume and interpret volume as additive (5MD5), including fractional side lengths (6G2). 

Three Weeks • May 12 - May 30

In this module, students will

• Discover and use the formula for finding the area of a triangle to solve problems 6.G.1
• Discover and use the formula for finding the area of special quadrilaterals to solve problems 6.G.1 
• Identify two-dimensional shapes by their attributes 5.G.3 
• Classify figures in a hierarchy 5.G.4

Notes About the Module:

• Recommended Timing Guidelines-- Week 1: Area of a triangle (6G1).  Week 2: Area of special quadrilaterals (6G1). Week 3: Identify two-dimensional shapes (5G3) and then classify them (5G4). 

Two Weeks • June 2 - June 11

In this module, students will

• Coordinates and the coordinate plane 5.G.1
• Solve real-world problems using coordinate grids 5.G.2
• Draw polygons on coordinate grids 6.G.3

Notes About the Module:

• Recommended Timing Guidelines-- First, plot coordinates (5G1) and then solve problems using coordinate grids (5G2).  Then, draw polygons on coordinate grids (6G3).