## Elementary Formative Assessment Lessons

*Published: 4/24/2017 5:04 PM*

These lessons are instructional tools that utilize effective instructional practices and utilize strategies based on the work of Dylan Wiliam’s 5 Key Strategies for Formative Assessment. These elementary lessons were designed by the Kentucky Department of Education and field-tested by Kentucky teachers. They follow the same format as the "formative assessment lessons" or classroom challenges for grades 6-12 found at the Mathematics Assessment Resource Service (MARS) Mathematics Assessment Project. Lessons such as these provide instructional support for the Mathematics Design Collaborative (MDC). Kentucky is a participating state in the Mathematics Design Collaborative and as such has included the MDC work as a strategy in the Novice Reduction for Gap Closure Instruction plan.

Each formative assessment lesson or classroom challenge is designed to be part of an instructional unit and should be implemented approximately

**two-thirds**of the way through the instructional unit. The results should then be used to inform the instruction that will take place for the remainder of your unit. Instructional practices embedded in the lessons should be utilized throughout instruction.As with the formative assessment lessons or classroom challenges for grades 6-12, there are two types of elementary lessons:

**Concept development lessons**that are meant to first reveal students’ prior knowledge, then develop students’ understanding of important mathematical ideas, connecting concepts to other mathematical knowledge.**Problem solving lessons**are meant to assess, then develop, students’ ability to apply their mathematical knowledge and reasoning in flexibly ways to non-routine, unstructured problems –within mathematics and with real world applications. Problem solving lessons allow for different entry points with multiple strategies and often span several grade levels.

**Concept Development Lessons**

**Kindergarten**

*All documents below have been updated*

*All documents below have been updated*

Decomposing Numbers - Operations & Algebraic Thinking PDF

Decomposing Numbers - Operations & Algebraic Thinking Word

Decomposing Numbers - Operations & Algebraic Thinking Word

Grade 1

Grade 1

***All documents below have been updated***

Number Relationships - Equal or Not - Operations & Algebraic Thinking PDF

Number Relationships - Equal or Not - Operations & Algebraic Thinking Word

Number Relationships - Equal or Not - Operations & Algebraic Thinking Word

Pieces of Hundred Chart - Number & Operations in Base Ten PDF

Pieces of Hundred Chart - Number & Operations in Base Ten Word

Pieces of Hundred Chart - Number & Operations in Base Ten Word

Operations and Algebraic Thinking - Greater Than, Less Than, Equal To in Range up to 10 PDF

Operations and Algebraic Thinking - Greater Than, Less Than, Equal To in Range up to 10 Word

Operations and Algebraic Thinking - Greater Than, Less Than, Equal To in Range up to 10 Word

**Grade 2**

***All documents below have been updated***

Place Value What's the Value of Place? - Number & Operations in Base Ten PDF

Place Value What's the Value of Place? - Number & Operations in Base Ten Word

Place Value What's the Value of Place? - Number & Operations in Base Ten Word

Two-Digit Computation Mental Math - Number & Operations in Base Ten PDF

Two-Digit Computation Mental Math - Number & Operations in Base Ten Word

Two-Digit Computation Mental Math - Number & Operations in Base Ten Word

Geometry - Partitioning the Whole into Equal Shares PDF

Geometry - Partitioning the Whole into Equal Shares Word

Geometry - Partitioning the Whole into Equal Shares Word

**Grade 3**

***All documents below have been updated***

Multiplication - Operations & Algebraic Thinking Version 1 PDF

Multiplication - Operations & Algebraic Thinking Version 1 Word

Multiplication - Operations & Algebraic Thinking Version 2 PDF

Multiplication - Operations & Algebraic Thinking Version 2 Word

Multiplication - Operations & Algebraic Thinking Version 1 Word

Multiplication - Operations & Algebraic Thinking Version 2 PDF

Multiplication - Operations & Algebraic Thinking Version 2 Word

Fractions on a Number Line - Number & Operations - Fractions PDF

Fractions on a Number Line - Number & Operations - Fractions Word

Fractions on a Number Line - Number & Operations - Fractions Word

Multiplication/Geometry - Distributive Property PDF

Multiplication/Geometry - Distributive Property Word

Multiplication/Geometry - Distributive Property Word

**Grade 4**

***All documents below have been updated***

Relating Fraction Equivalencies to Decimal Fractions - Number & Operations - Fractions PDF

Relating Fraction Equivalencies to Decimal Fractions - Number & Operations - Fractions Word

Relating Fraction Equivalencies to Decimal Fractions - Number & Operations - Fractions Word

Multi-Digit Multiplication Strategies - Number & Operations Base Ten PDF

Multi-Digit Multiplication Strategies - Number & Operations Base Ten Word

Multi-Digit Multiplication Strategies - Number & Operations Base Ten Word

Factors and Multiples Number Puzzles - Operations & Algebraic Thinking PDF

Factors and Multiples Number Puzzles - Operations & Algebraic Thinking Word

Factors and Multiples Number Puzzles - Operations & Algebraic Thinking Word

Geometry - Two-Dimensional Shapes, Angles and Symmetry PDF

Geometry - Two-Dimensional Shapes, Angles and Symmetry Word

Geometry - Two-Dimensional Shapes, Angles and Symmetry Word

**Grade 5**

***All documents below have been updated***

Multiplication and Division with Decimals - Number & Operations in Base Ten PDF

Multiplication and Division with Decimals - Number & Operations in Base Ten Word

Multiplication and Division with Decimals - Number & Operations in Base Ten Word

Division and Interpreting Remainders - Number & Operations in Base Ten PDF

Division and Interpreting Remainders - Number & Operations in Base Ten Word

Division and Interpreting Remainders - Number & Operations in Base Ten Word

Pizza with Friends - Number & Operations in Base Ten PDF

Pizza with Friends - Number & Operations in Base Ten Word

Pizza with Friends - Number & Operations in Base Ten Word

Measurement - Metric Comparisons and Conversions PDF

Measurement - Metric Comparisons and Conversions Word

Measurement and Data: Volume PDF

Measurement - Metric Comparisons and Conversions Word

Measurement and Data: Volume PDF

**Problem Solving Lessons**

**Grades K-3**

**Grades 1-4**

**Grades 4-6**

**Grades 4-8**

***All documents below have been updated***