__4th Grade Formative Assessment Lessons__

## Multi-digit Multiplication Strategies with REVISED card sort

This concept-based lesson is intended to help you assess how well students are able to use a variety of strategies to multiply. In particular, this unit aims to identify and help students who have difficulties with the traditional multiplication algorithm and representing multiplication in multiple ways.

Common Core State Standards:

This lesson involves a range of

This lesson asks students to select and apply mathematical content from across the grades, including the

Common Core State Standards:

This lesson involves a range of

*mathematical practices*from the standards, with emphasis on:**2. Reason abstractly and quantitatively, 7. Look for and make use of structure, 8. Look for and make use of repeated reasoning.**This lesson asks students to select and apply mathematical content from across the grades, including the

*content standards:***Number and Operations in Base Ten: 4-NBT: Use place value understanding and properties of operations to perform multi-digit arithmetic and 5-NBT: Perform operations with multi-digit whole numbers.**CLICK__HERE__FOR REVISED CARD SORT.## Number Puzzles with powerpoint slides

This lesson unit is intended to help you assess how well students are able to use “clues” about numbers including: factors, multiples, prime, composite, square, even, odd, etc. In particular, this unit aims to identify and help students who have difficulties with understanding the difference between primes and composites and the difference between factors and multiples.

This lesson involves mathematical content in the standards from across the grade, with emphasis on:

This lesson involves a range of mathematical practices from the standards, with emphasis on:

This lesson involves mathematical content in the standards from across the grade, with emphasis on:

**Operations and Algebraic Thinking 4.OA Gain familiarity with factors and multiples.**This lesson involves a range of mathematical practices from the standards, with emphasis on:

**1. Make sense of problems and persevere in solving them, 2. Reason abstractly and quantitatively, 6. Attend to precision, 7. Look for and make use of structure.**## Relating Fraction Equivalencies to Decimal Fractions

This lesson unit is intended to help you assess how well students are able identify equivalent decimal fractions. Students will: Recognize and generate equivalent fractions. Use Equivalent fractions to add and subtract fractions with like denominators. Use decimal notation for fractions with denominators 10 and 100. Use words to indicate the value of the decimal. Use decimal fractions and locating them on the number line. Use area models to represent equivalent fractions and decimals.

**This lesson involves***mathematical content*in the standards from across the grade, with emphasis on:**4.NF Extend understanding of fraction equivalence and ordering.***(Note: Ordering of fractions is not addressed in this lesson.)***Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. Understand decimal notation for fractions, and compare decimal fractions.****This lesson involves a range of***Standards for Mathematical Practice*with emphasis on: Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure.## Farmer Fred written by New York City Department of Education

In this unit students use fractional parts of a whole, properties of shapes, congruency, and computation using fractions and money to determine the fair value and total worth of eight fields.

Common Core Standards addressed:

common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that

comparisons are valid only when the two fractions refer to the same whole. Record the results of

comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

This lesson involves a range of mathematical practices from the standards, with emphasis on:

Common Core Standards addressed:

**4.NF.2**Compare two fractions with different numerators and different denominators, e.g., by creatingcommon denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that

comparisons are valid only when the two fractions refer to the same whole. Record the results of

comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

**4.NF.3c**Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.**4.NF.3d**Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.**4.NF.4c**Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.**4.G.2**Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.This lesson involves a range of mathematical practices from the standards, with emphasis on:

**1. Make sense of problems and persevere in solving them, 3. Construct Viable Arguments and Critique the Reasoning of Others, 6. Attend to precision, 7. Look for and make use of structure.**