Grade 4 • Mathematics What Your Child Will Learn

Grade 4 Mathematics

What Your Child Will Learn

What Your Child Will Learn

The grade 4 mathematics scope and sequence is designed so that more than 80% of instructional time is focused on major content. Standards have been organized into modules. 

Timing guidelines are recommended to guide weekly instruction. Specific decisions should be made based on the needs of students.

  Mathematics Focus by Grade Level Links to an external site. 

The sections below identify instructional focus (standards) for each module. Standards are linked to full standards pages. These pages provide the instructional resources needed for instruction, independent work and assessment. 

First Semester: Quarters 1 and 2

 

Module 1 • Quarter 1 • Getting to Know My Math Students

Two Weeks

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.

 

Module 2 • Quarter 1 • Number Relationships Review Basic Facts (2s, 10s, and 5s)

Four Weeks

In this module, students will

  • Explain the value of a digit in relation to adjacent digits. 4.NBT.1
  • Read, write, represent (including expanded form), and compare numbers. 4.NBT.2
  • Compare numbers; round and estimate numbers. 4.NBT.3
  • Revisit basic fact strategies for fact sets that double (x2) and halve (÷2) 3.OA.7
  • Revisit basic fact strategies for fact sets that multiply and divide by 5s and 10s. 3.OA.7

Module 3 • Quarter 1 • Addition and Subtraction (Decomposition and Standard Algorithm) and Review Basic Facts (9s)

Two Weeks

In this module, students will 

  • Add multi-digit numbers using partial sums when decomposing one or both addends 4.NBT.4
  • Subtract multi-digit numbers by decomposing the subtrahend and counting on or counting back 4.NBT.4
  • Represent and solve word problems that add/subtract multi-digit numbers 4.OA.3
  • Use the standard algorithm for addition, connecting it to representations and other strategies 4.NBT.4
  • Use the standard algorithm for subtraction, connecting it to representations and other strategies 4.NBT.4
  • Revisit basic fact strategies for fact sets for x9 and ÷9 facts. 3.OA.7

Module 4 • Quarter 1 • Addition and Subtraction (Adjusting and Standard Algorithm) and Review Basic Facts (4s)

Two Weeks

In this module, students will

  • Add and subtract multi-digit numbers by adjusting 4.NBT.4
  • Add and subtract with the standard algorithm connecting it to other strategies including adjusting 4.NBT.4
  • Solve two-step word problems that add and/or subtract multi-digit numbers 4.OA.3
  • Revisit basic fact strategies for fact sets for x4 and ÷4 facts. 3.OA.7

Module 5 • Quarter 2 • Multiplicative Comparison and Connect Basic Facts Review (3s and 6s) to Factors and Multiples

Three Weeks

In this module, students will

  • Find and identify factors and multiples. 4.OA.4
  • Describe the difference between additive and multiplicative comparison 4.OA.2 
  • Represent multiplicative comparison 4.OA.1
  • Solve problems with multiplicative comparison 4.OA.2
  • Revisit basic fact strategies for fact sets for triples (x3) and thirds (÷3).  3.OA.7
  • Revisit basic fact strategies for fact sets for x6 and ÷6 facts. 3.OA.7

Module 6 • Quarter 2 • Multiplication and Division (2-digit by 1-digit) and Connect Basic Facts Review (8s) to Factors and Multiples

Three Weeks

In this module, students will

  • Multiply two-digit factors by one-digit factors using representations and partial products 4.NBT.5
  • Divide two-digit dividends by one-digit divisors using representations and partial quotients 4.NBT.6
  • Solve one-step multiplication and division problems with remainders. 4.OA.3
  • Interpret remainders. 4.OA.3
  • Revisit basic fact strategies for fact sets for x8 and ÷8 facts. 3.OA.7

Module 7 • Quarter 2 • Multiplication and Division (3- and 4-digit by 1-digit)

Two Weeks

In this module, students will

  • Multiply three-digit factors by one-digit factors using representations and partial products 4.NBT.5
  • Divide three-digit dividends by one-digit divisors using representations and partial quotients 4.NBT.6
  • Multiply four-digit factors by one-digit factors using representations and partial products 4.NBT.5
  • Divide four-digit dividends by one-digit divisors using representations and partial quotients 4.NBT.6
  • Solve one-step multiplication and division problems with remainders. 4.OA.3
  • Interpret remainders. 4.OA.3

Module 8 • Quarters 2 and 3 • Fractions (Equivalency and Comparison)

Two Weeks

In this module, students will

  • Generate equivalent fractions 4.NF.1
  • Compare fractions with representations 4.NF.2
  • Compare fractions with representations, focusing on using benchmarks 0, 1/2, and 1 to compare 4.NF.2

Second Semester: Quarters 3 and 4

 

Module 9 • Quarter 3 • Fractions (Adding and Subtracting)

Four Weeks

In this module, students will

  • Decompose fractions and mixed numbers 4.NF.3b
  • Add and subtract fractions with like denominators. 4.NF.3 (a & c)4
  • Solve word problems that add/subtract fractions and mixed numbers 4.NF.3d Note: Use as a context for the standard below.
  • Add and subtract fractions and mixed numbers with like denominators. 4.NF.3 (a & c)
  • Measure objects with fractional units 4.MD.4
  • Represent data on line plots 4.MD.4

Module 10 • Quarter 3 • Fractions (Multiplying)

Two Weeks

In this module, students will

  • Solve word problems that multiply whole numbers by fractions 4.NF.4 Note: Use this standard as a context for the standards below. 
  • Multiply a whole number by a unit fraction 4.NF.4
  • Multiply a whole number by a non-unit fraction 4.NF.4

Module 11 • Quarter 3 • Decimals

Two Weeks

In this module, students will

  • Generate equivalent fractions with denominators of 10 and 100 and add them 4.NF.5 
  • Read and write decimals 4.NF.6
  • Place decimals on a number line 4.NF.6
  • Compare decimals 4.NF.7

Module 12 • Quarters 3 and 4 • Multiplication (2-digit by 2-digit) and Division and Solve Multiplication and Division Problems

Three Weeks

In this module, students will

  • Multiply two-digit factors by two-digit factors using representations and partial products 4.NBT.5
  • Divide four-digit, three-digit, and two-digit dividends by one-digit divisors using partial quotients 4.NBT.6
  • Solve multi-step word problems with multiplication and division of multi-digit numbers. 4.OA.3
  • Interpret remainders. 4.OA.3
  • Number and geometric patterns 4.OA.5

Module 13 • Quarter 4 • Perimeter and Area

Two Weeks

In this module, students will

  • Identify and find perimeter. 4.MD.3 
  • Identify and find area. 4.MD.3

Module 14 • Quarter 4 • Geometry and Angles

Two Weeks

In this module, students will

  • Identify and draw points, lines, line segments, rays, angles, perpendicular and parallel lines 4.G.1
  • Classify two-dimensional shapes based on lines and angles 4.G.2
  • Identify and draw lines of symmetry 4.G.3
  • Describe an angle and it's relationship to a circle (how to measure angles) 4.MD.5
  • Measure angles 4.MD.6
  • Decompose angles 4.MD.7

Module 15 • Quarter 4 • Measurement and Problem Solving

Three Weeks

In this module, students will

  • Convert between units 4.MD.1
  • Solve problems with measurements 4.MD.2
  • Multiply two-digit, three-digit, and four-digit factors by one-digit factors and two-digit factors by two-digit factors using representations and partial products 4.NBT.5
  • Divide four-digit, three-digit, and two-digit dividends by one-digit divisors using partial quotients 4.NBT.6
  • Solve multi-step word problems, any operation, including interpreting remainders. 4.OA.3

Downloadable PDF Year-At-A-Glance Links to an external site.

 

Contact john_sangiovanni@hcpss.org with questions.

  This course content is offered under a  CC Attribution Non-Commercial Share Alike Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.

 

 

Math in Minutes

The video links below demonstrate the way your students will learn specific concepts.

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Creative Commons Logo This course content is offered under a CC Attribution Non-Commercial Share Alike Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.