Read the stories of the mathematics of each course of IM K–5 Math, detailed by authors of the curriculum. These stories convey the coherent structure of grade-level content, how concepts are developed for students, and the deliberate choice of tools and representations used in each grade, from kindergarten through grade 5.
Why these? Student Achievement Partners' instructional considerations & See Illustrative Mathematics' guidance
Operations and Algebraic Thinking
OA.A Represent and solve problems involving multiplication and division
Measurement and Data
MD.B Represents and interprets data
OA.A: Learning Goals and IM Assessments
Understand multiplication in terms of equal groups.
Represent and solve multiplication problems involving equal groups.
Represent and solve multiplication problems involving arrays.
MD.B: Learning Goals and IM Assessments
Do so by giving your students the Unit 1 Pre-unit problems
Did the Pre-unit problems reveal a need to address unfinished learning? If yes, adapt Unit 1.
Look for stages in bolded Red to target math fluency & number sense (good for Tier II Intervention)
Capture Squares (3, 4, 5)
Five in a Row: Addition and Subtraction (Stages 6, 7, 8)
Five in a Row: Multiplication and Division (Stage 1)
Sort and Display (Stages 2, 3)
These resource sheets adapted from Howard County Public Schools and commoncoresheets.com can be used for independent practice or homework. They are intended to reinforce procedures and concepts.
They should not be used as a source of direct instruction or whole-group practice.
Operations and Algebraic Thinking
OA.C.7 Fluently multiply and divide within 100 using a variety of strategies
Measurement and Data
MD.C Geometric measurement: Understands concepts of area & relates to multiplication and addition
OA.C.7: Learning Goals and IM Assessments
Since you are assessing an end-of-year fluency, students may be at different points of fluency this early in the year. It is okay for a student to just know the fact and write it down with no other work, draw a picture, skip count, or repeatedly add to multiply within 100.
MD.C: Learning Goals and IM Assessments
Describe area as the number of unit squares that cover a plane figure without gaps and overlaps.
Measure the area of rectangles by counting unit squares.
Explain why the area of a rectangle can be determined by multiplying the side lengths.
Solve problems involving the area of rectangles.
Find the area of figures composed of rectangles.
Do so by giving your students the Unit 2 Pre-unit problems
Did the Pre-unit problems reveal a need to address unfinished learning? If yes, adapt Unit 2.
Look for stages in bolded Red to target math fluency & number sense (good for Tier II Intervention)
Capture Squares (6)
Five in a Row: Addition and Subtraction (Stages 6, 7, 8)
Five in a Row: Multiplication and Division (Stages 1, 2)
Rectangle Rumble (Stages 1, 2)
Can You Build It? (Stage 1)
These resource sheets adapted from Howard County Public Schools and commoncoresheets.com can be used for independent practice or homework. They are intended to reinforce procedures and concepts.
They should not be used as a source of direct instruction or whole-group practice.
Operations and Algebraic Thinking
OA.D Solves problems involving the four operations and can explain patterns of arithmetic
Numbers and Operations in Base Ten
NBT.A Uses place value understanding and properties of operations to perform multi-digit arithmetic
NBT.A.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
OA.D: Learning Goals and IM Assessments
Solve two-step word problems using addition, subtraction, and multiplication.
NBT.A: Learning Goals and IM Assessments
NBT.A.2: Learning Goals and IM Assessments
Fluently add within 1,000 using algorithms based on place value and properties of operations.
Use place value understanding to compose and decompose numbers.
Fluently subtract within 1,000 using algorithms based on place value, properties of operations, and the relationship between addition and subtraction.
Do so by giving your students the Unit 3 Pre-unit problems
Did the Pre-unit problems reveal a need to address unfinished learning? If yes, adapt Unit 3.
Look for stages in bolded Red to target math fluency & number sense (good for Tier II Intervention)
Tic Tac Round (Stage 1)
Capture Squares (Stage 6)
Target Number (Stages 6, 7)
How Close? (Stage 4)
Five in a Row: Addition and Subtraction (Stage 8)
Five in a Row: Multiplication and Division (Stage 2)
Number Puzzles: Addition & Subtraction (Stage 5)
Rectangle Rumble (Stage 2)
These resource sheets adapted from Howard County Public Schools and commoncoresheets.com can be used for independent practice or homework. They are intended to reinforce procedures and concepts.
They should not be used as a source of direct instruction or whole-group practice.
OA.D.8
Operations and Algebraic Thinking
OA.A Represent and solve problems involving multiplication and division.
OA.B Understands properties of multiplication and the relationships between multiplication and division
OA.C.7 Fluently multiply and divide within 100 using a variety of strategies
OA.C.7 Know from memory all products of two one-digit numbers.
OA.D Solves problems involving the four operations and can explain patterns of arithmetic
Numbers and Operations in Base Ten
NBT.A Uses place value understanding and properties of operations to perform multi-digit arithmetic
NF.B: Learning Goals and IM Assessments
Represent and solve “how many groups?” and “how many in each group?” problems.
Use properties of operations, place value understanding, and the relationship between multiplication and division to divide within 100.
OA.B: Learning Goals and IM Assessments
Understand division as a missing-factor problem.
Use properties of operations to develop fluency with single-digit multiplication facts, and their related division facts.
Use properties of operations and place value understanding to develop strategies to multiply within 100 and to multiply one-digit numbers by a multiple of 10.
OA.C.7: Learning Goals and IM Assessments
Use properties of operations to develop fluency to multiply and divide within 100 using a variety of strategies
End of Unit 3.4
By the end of Trimester 2, Grade 3 student knows from memory foundational multiplication fact sets of 2s, 5s, 10s, 1s, 0s, & squares (e.g., 4 x 4).
OA.C.7: Learning Goals and IM Assessments
Use properties of operations to develop fluency with single-digit multiplication facts, and their related division facts.
Checkpoint 3.4.B; End of Unit 3.4
To continue fully developing mastery of multiplication facts by the end of Trimester 3, Grade 3 student uses reasoning strategies and the foundational multiplication fact sets listed above to derive unknown facts. For example, Doubling (4s, 6s, 8s), Adding a Group (3s, 6s), Subtracting a Group (9s, 4s), Break Apart (3s, 4s, 6s, 7s, 8s, 9s), Near Squares
OA.D: Learning Goals and IM Assessments
NBT.A: Learning Goals and IM Assessments
Do so by giving your students the Unit 4 Pre-unit problems
Did the Pre-unit problems reveal a need to address unfinished learning?
If yes, continue targeted Centers and Practice from Grade 3 Unit 3.
Grade 3 Unit 4 builds exclusively from Grade 3 Unit 3 (see K-5 Dependency Chart)
Look for stages in bolded Red to target math fluency & number sense (good for Tier II Intervention)
Capture Squares (Stages 6, 7)
How Close? (Stages 4, 5)
Compare (Stages 2, 3, 4)
Five in a Row: Multiplication and Division (Stage 2)
Rectangle Rumble (Stages 2, 3)
Can You Draw It? (Stage 2)
These resource sheets adapted from Howard County Public Schools and commoncoresheets.com can be used for independent practice or homework. They are intended to reinforce procedures and concepts.
They should not be used as a source of direct instruction or whole-group practice.
OA.A.3
Solve Multiplication Word Problems:
Solve Division Word Problems:
Solve Multiplication and Division Word Problems:
OA.A.4
Determine the Unknown in a Multiplication or Division Equation:
Determine the Unknown in an Equation Related to Area:
CAASPP Focused Interim Assessment Block: Grade 3 - Number and Operations in Base Ten
Interim Assessment Item Portal (pdf/print) or Test Administrator Interface (digital)
Or
CAASPP Focused Interim Assessment Block: Grade 3 - Properties of Multiplication and Division
Interim Assessment Item Portal (pdf/print) or Test Administrator Interface (digital)
Numbers and Operations in Fractions
NF.A Develops understanding of fractions as numbers
NF.A: Learning Goals and IM Assessments
Understand that fractions are built from unit fractions such that a fraction is the quantity formed by parts of size.
Understand that unit fractions are formed by partitioning shapes into equal parts.
Understand a fraction as a number and represent fractions on the number line.
Explain equivalence of fractions in special cases and express whole numbers as fractions and fractions as whole numbers.
Compare two fractions with the same numerator or denominator, record the results with the symbols >, =, or﹤.
Do so by giving your students the Unit 5 Pre-unit problems
Did the Pre-unit problems reveal a need to address unfinished learning? If yes, adapt Unit 5.
Look for stages in bolded Red to target math fluency & number sense (good for Tier II Intervention)
Number Line Scoot (Stage 1, 2, 3)
Mystery Number (Stages 2, 3)
Secret Fractions (Stage 1)
Five in a Row: Multiplication and Division (Stage 2)
Rolling For Fractions (Stage 1)
Which One? (Stages 3, 4)
These resource sheets adapted from Howard County Public Schools and commoncoresheets.com can be used for independent practice or homework. They are intended to reinforce procedures and concepts.
They should not be used as a source of direct instruction or whole-group practice.
G.A.2
NF.A.3
CAASPP Focused Interim Assessment Block: Grade 3 - Number and Operations – Fractions
Interim Assessment Item Portal (pdf/print) or Test Administrator Interface (digital)
Operations and Algebraic Thinking
OA.A Represent and solve problems involving multiplication and division
OA.D Solves problems involving the four operations and can explain patterns of arithmetic
Measurement and Data
MD.A Solves problems involving measurement and intervals of time, liquid volume and masses of objects
MD.B Represents and interprets data
OA.A: Learning Goals and IM Assessments
Students use multiplication and division to solve problems about liquid volume.
End of Unit 3.6
OA.D: Learning Goals and IM Assessments
MD.A: Learning Goals and IM Assessments
Measure and estimate weights and liquid volumes of objects.
Solve problems involving addition and subtraction of time intervals in minutes.
Tell time to the minute.
Solve problems involving the four operations and measurement contexts.
MD.B: Learning Goals and IM Assessments
Measure lengths using rulers marked with halves and fourths of an inch to generate data for making a line plot.
Checkpoint 3.6.A
Do so by giving your students the Unit 6 Pre-unit problems
Did the Pre-unit problems reveal a need to address unfinished learning? If yes, adapt Unit 6.
Look for stages in bolded Red to target math fluency & number sense (good for Tier II Intervention)
Target Number (Stage 7)
How Close? (Stage 5)
Compare (Stage 3)
Number Puzzles: Addition & Subtraction (Stage 5)
Estimate and Measure (Stages 2, 3)
Target Measurement (Stages 1, 2)
Creating Line Plots (Stages 1, 2)
These resource sheets adapted from Howard County Public Schools and commoncoresheets.com can be used for independent practice or homework. They are intended to reinforce procedures and concepts.
They should not be used as a source of direct instruction or whole-group practice.
MD.A.1
CAASPP Focused Interim Assessment Block: Grade 3 - Multiply and Divide within 100
Interim Assessment Item Portal (pdf/print) or Test Administrator Interface (digital)
Measurement and Data
MD.D Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
Geometry
G.A Identifies and classifies shapes based by their attributes
MD.D: Learning Goals and IM Assessments
Student can consistently determine the perimeter given all side lengths, given an unknown side length, given rectangles with the same perimeter but different areas or with same areas but different perimeters.
End of Unit 3.7
G.A: Learning Goals and IM Assessments
Student can consistently identify and categorize shapes by their common attributes, understand that shapes can belong in multiple categories, and that some categories are part of a larger category (e.g. a square is a rectangle and a rectangle is a quadrilateral).
End of Unit 3.7
Do so by giving your students the Unit 7 Pre-unit problems
Did the Pre-unit problems reveal a need to address unfinished learning? If yes, adapt Unit 7.
Look for stages in bolded Red to target math fluency & number sense (good for Tier II Intervention)
How Close? (Stage 5)
Compare (Stage 4)
Which One? (Stages 3, 4)
Picture Books (Stage 3)
Target Measurement (Stages 1, 2)
How Are They The Same (Stages 2, 3)
Can You Draw It? (2, 3, 5)
These resource sheets adapted from Howard County Public Schools and commoncoresheets.com can be used for independent practice or homework. They are intended to reinforce procedures and concepts.
They should not be used as a source of direct instruction or whole-group practice.
Operations and Algebraic Thinking
OA.C.7 Fluently multiply and divide within 100 using a variety of strategies
OA.C.7 Know from memory all products of two one-digit numbers.
OA.C.7: Learning Goals and IM Assessments
With consistency, student fluently multiplies and divides within 100 using strategies such as: the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, I know 40 ÷ 5 = 8); properties of operations such as the distributive property (e.g., 5 x 13 is the same as 5 x 10 + 5 x 3) or the commutative property (e.g,. 9 x 5 is the same as 5 x 9)
End of Course Assessment 3.8
Student consistently demonstrates knowing from memory all products (i.e., multiplication facts) of one-digit numbers.
End of Course Assessment 3.8
As Needed, Choose Any of the Centers from Previous Units
For Lesson 1: Practice Problems (Unit 5 Section A)
For Lesson 2: Practice Problems (Unit 5 Section B)
For Lesson 3: Practice Problems (Unit 5 Section C)
For Lesson 4: Practice Problems Unit 2, Section B
For Lesson 5: Practice Problems Unit 3, Section A
For Lesson 6: Practice Problems Unit 1, Section A
For Lesson 7: Practice Problems Unit 1, Section A
For Lesson 8: Practice Problems (Unit 1 Section B)
For Lesson 9 and Lesson 10: Practice Problems (Unit 4 Section B)
For Lesson 11: Practice Problems (Unit 4 Section D)
For Lesson 1, look to Unit 5 Section A: Introduction to Fractions
For Lesson 2, look to Unit 5 Section B: Fractions on the Number Line
For Lesson 3, look to Unit 5 Section C: Equivalent Fractions
For Lesson 4, look to Unit 2 Section B: Relate Area to Multiplication
For Lesson 5, look to Unit 3 Section A: Concepts of Area Measurement
For Lesson 6 and Lesson 7, look to Unit 1 Section A: Interpret and Represent Data on Scaled Graphs
For Lesson 8, look to Unit 1, Section B: From Graphs to Multiplication
For Lesson 9 and Lesson 10, look to Unit 4, Section B: Relate Multiplication and Division
For Lesson 11, look to Unit 4, Section D: Dividing Larger Numbers