# Numeracy Resources

## Numbers & Operations

### 22? 30? 50? 100?

A teacher of children blogs about a challenging experience working with a student learning to count. An ABE teacher of basic numeracy may find many suggestions in the comments of this blog entry very useful.

### An Excellent Lesson for Long Division

This blog post offers some important aspects to consider in how we teach long division to our students. How does place value play a role in long division, and how do I teach long division so my students strengthen that understanding? The post includes video, a word problem, and a lesson plan that you could use tomorrow!

### Another Blog Post About Fraction Division

This blog post was created to help teachers understand a strategy for making division with fractions visual and meaningful for students.

### Concept, Method, Procedure (The Secret Formula for Math Success)

Max Ray, of The Math Forum, explores developing procedures from conceptual understanding. His 5-minute video uses dividing by fractions as the topic for instruction.

### Fluency Without Fear

Turns out memorization, timed tests and flash cards are not the most effective ways to learn math facts! This article from Jo Boaler addresses developing students' fluency with math facts (such as times tables), including confidence and how some common approaches to math facts can be related to anxiety and loss of perseverance.

### For Teachers: Please Don’t Teach Exponent Rules

A teacher writes about how he approaches operations with exponents so that the students make meaning and discover the rules for operations with exponents for themselves.

### Fraction Talk (and Pie)

Math teacher Chase Orton lays out the instruction he used, starting with pictures of pies, in order to get students to use benchmark fractions.

### Geometric Subitizing: Counting Discussion Cards

The discussion cards posted on this site can be used to discuss counting and grouping strategies with students. This could be a great way to engage students using vocabulary around numbers and shapes.

### How much did the temperature drop? Absolute Value

Robert Kaplinsky describes the lesson this way: "This lesson uses a time lapse thermometer video as a context for discussing integer operations and absolute value. The video should provide some added meaning to the classic temperature drop problem."

### How tall was my plant?

An activity where students must determine how tall the plant was x time ago if it is a certain height now and how fast it will grow.

### Instructional Strategies for Counting

These three blog posts from an elementary math coach describe instructional strategies around basic counting that may be useful for some ABE teachers addressing very basic numeracy.

### Math Antics: Negative Numbers

This video introduces negative numbers on a number line, demonstrates comparing positive and negative numbers by comparing position on a number line. The video also models negative numbers using a picture representing sea level.

### Math Antics: Types of Fractions

This video presents types of fractions (proper, improper, etc.) and addresses how students can use the structure of a fraction to make sense of where it belongs on the number line. The video points out that the relationship between the numerator and denominator is division.

### Math Snacks: Counting

Online activities and videos for supporting students' understanding of math concepts such as ratios, scale factors, fractions, number lines, and so on. Some activities may need additional language learning supports (i.e. for beginning English learners). Videos are also available in Spanish and in a printable "comic book" form.

### Math Snacks: Fractions

Online activities and videos for supporting students' understanding of math concepts such as ratios, scale factors, fractions, number lines, and so on. Some activities may need additional language learning supports (i.e. for beginning English learners). Videos are also available in Spanish and in a printable "comic book" form.

### Math Snacks: Ratios

Online activities and videos for supporting students' understanding of math concepts such as ratios, scale factors, fractions, number lines, and so on. Some activities may need additional language learning supports (i.e. for beginning English learners). Videos are also available in Spanish and in a printable "comic book" form.

### Math Visuals

Imagine that a math teacher made simple, attractive visuals to spark student discussion around counting and basic operations. Berkeley Everett did - and here it is!

### Progression of Addition and Subtraction

What is a progression that builds to a conceptual understanding of addition and subtraction? In this 7-minute video, Gfletchy demonstrates strategies that teachers can use to develop students' conceptual understanding as a building block to fluency.

### Progression of Division

What is a progression that builds to a conceptual understanding of division? In this 8-minute video, Gfletchy demonstrates strategies that teachers can use to develop students' conceptual understanding as a building block to fluency.

### Progression of Early Number and Counting

What is an instructional progression that leads to conceptual understanding of counting and numbers? This 8-minute video lays out a progression for children learning these concepts, but ABE teachers of students with beginning numeracy will find useful ideas here.

### Progression of Multiplication

What is a progression that builds to a conceptual understanding of multiplication? In this 6-minute video, Gfletchy demonstrates strategies that teachers can use to develop students' conceptual understanding as a building block to fluency.

### Progressions: Illustrative Mathematics

Videos and tasks on math content progressions related to fractions in the Common Core standards.

### Rational Number Project: Fraction Operations and Initial Decimal Ideas

Free lessons from the Rational Number Project about fraction concepts: adding, subtracting, multiplying, and dividing. Understanding of decimals is introduced as well. Teacher's guide, worksheets and colored fraction templates included. These resources help develop conceptual understanding.

### Rational Number Project: Initial Fraction Ideas

Free lessons about fractions: concept, equivalencies, ordering, adding and subtracting. Teacher's guide, worksheets and colored fraction templates included. These resources help develop conceptual understanding.

### Resources for Basic Fractions

Several resources for teaching standard 3.NF.1 (Fraction representation) through the Levels of Knowing.

### College & Career Readiness (CCR) Math Standards

Looking for more specific information about the College & Career Readiness (CCR) Math Standards? Check out the **CCRS Math Resources** section of the CCR Standards resource library!