Mathematics

Elementary Formative Assessment Lessons

Published: 8/16/2018 9:48 AM

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 have been updated*
Counting Dots - Counting and Cardinality
Decomposing Numbers - Operations & Algebraic Thinking
Operations and Algebraic Thinking - Greater Than, Less Than, Equal To in Range up to 10

Grade 1

*All documents have been updated*
Number Relationships - Equal or Not - Operations & Algebraic Thinking
Pieces of Hundred Chart - Number & Operations in Base Ten
Pieces of a Hundreds Chart - Number and Operations in Base Ten Version 2 (bottom-up hundred chart)
Operations and Algebraic Thinking - Greater Than, Less Than, Equal To in Range up to 10

Grade 2

*All documents have been updated*
Place Value What's the Value of Place? - Number & Operations in Base Ten
Two-Digit Computation Mental Math - Number & Operations in Base Ten
Geometry - Partitioning the Whole into Equal Shares

Grade 3

*All documents below have been updated*
Multiplication - Operations & Algebraic Thinking Version 1 
Multiplication - Operations & Algebraic Thinking Version 2
Fractions on a Number Line - Number & Operations - Fractions
Attributes of Shapes - Geometry
Multiplication/Geometry - Distributive Property

Grade 4

*All documents below have been updated*
Relating Fraction Equivalencies to Decimal Fractions - Number & Operations - Fractions
Multi-Digit Multiplication Strategies - Number & Operations Base Ten
Factors and Multiples Number Puzzles - Operations & Algebraic Thinking
Geometry - Two-Dimensional Shapes, Angles and Symmetry 

Grade 5

*All documents have been updated*
Multiplication and Division with Decimals - Number & Operations in Base Ten
Division and Interpreting Remainders - Number & Operations in Base Ten
Pizza with Friends - Number & Operations in Base Ten
Measurement - Metric Comparisons and Conversions
Measurement and Data: Volume

Problem Solving Lessons
Grades K-3

Caterpillars and Leaves – Number & Operations in Base Ten

Grades 1-4

Snail in the Well – Operations & Algebraic Thinking

Grades 4-6

Where are the Cookies? - Number & Operations – Fractions

Grades 4-8

*This document has been updated*
Beads under the Blanket – Patterns from Operations & Algebraic Thinking to Functions



Krista Hall
Office of Teaching and Learning
Division of Program Standards
300 Sower Blvd., 5th Floor
Frankfort, KY 40601
(502) 564-2106
Fax (502) 564-9848
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