## Directed Practice

## Teaching Order of Operations – Whole and Complete Lesson

After students reach fluency in math facts, fact families, fractions and multi-step math problems, the next steps involve order of operations. Here is a whole and complete lesson for you to use for free. This lesson uses Direct Instruction scripting to reduce frustration and confusion for the student. It also uses behavior objectives and precision…

Read More## Counting by 2’s Forward

Rationale: Another important math skill is to be able to count by numbers other than 1’s. Some count-bys are relatively more useful than others. Counting by 5’s has application to money and time-telling applications, while counting by 8’s has few directly applied uses, but is still useful when estimating. Being able to do fluent count-bys…

Read More## Rote Counting Skills From 100 to 1

Rationale: In this exercise, we reverse the previous exercises to teach rote counting from 100 to 1. We will practice counting until the fluency level of 150 counts/minute with 2 or fewer errors is reached. First we will teach the students with the model available (See/Say Counting Backwards from 100-0). In the next task we…

Read More## Rote Counting Skills From a Number to a Number (Forward) from Memory

Rationale: Until a student has well-developed counting skills, all other aspects of arithmetic will be difficult or impossible for them to do. Fluent counting skills are the basis for most other activities in arithmetic. There are a number of different components which make up the realm of counting skills that every student needs to be…

Read More## Rote Counting Skills From a Number to a Number (Forward) : Part 2

Task 2: Rote Counting from a number to a number from memory. Think and Say Numbers from a number to a number (forwards) Materials: The numbers as printed from a particular number to some other number (forward). 37 41 (5) 23 31 (14) 86 89 (18) 49 53 (23)…

Read More## Rote Counting Skills From a Number to a Number (Forward) : Part 1

Rationale: Until a student has well-developed counting skills, all other aspects of arithmetic will be difficult or impossible for them to do. Fluent counting skills are the basis for most other activities in arithmetic. There are a number of different components which make up the realm of counting skills that every student needs to be…

Read More## Rote Counting Skills From 1 to 100

Rationale: In this exercise we will combine the previous exercises to teach rote counting from 1 to 100. We will practice counting until the fluency level of 150 counts/minute with 2 or fewer errors is reached. Now that the student has met the fluency standard for counting from 1 to 20, we can add the…

Read More## Fluency and Counting Skills

There does not appear to be any particular standard to determine when counting skills are fluent or even adequate. Primary school teachers teach students to count until they ( the teachers) are content with the results, whatever those results may be. This lack of a consistent standard allows for a high degree of variation among…

Read More## Using Recursive Patterns to Teach Skip-Counting

The Current Picture Being able to count groups by numbers other than 1 is a useful skill for multiplication and division, where, by definition, we are dealing with some number of groups of equal size. Schools do pay lip service to this idea, but usually only in a limited way. Typically they will give some…

Read More## Rote Counting Skills from 1 to 20

Rationale: In this exercise we will combine the previous two exercises to teach rote counting from 1 to 20. We will practice counting until the fluency level of 150 counts/minute with 2 or fewer errors is reached. Now that the student has met the fluency standard for counting from 1 to 10, and the same…

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